There are 9 players on a baseball team there are 6 teams in the league how many baseball players are in the league

Answers

Answer 1

Answer:

54

Step-by-step explanation:

Multiply 9 (players per team) and 6 (teams in the league) to find the total players in the league.

9 times 6 = 54


Related Questions

What value for the
constant, h, in the equation
shown below will result in an infinite number of
solutions?
6t + 18 = h(3x + 9)

Answers

Therefore , As a result, h = 2 is the answer to the equation in the given question.

Explain equation.

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra is the fundamental foundation of mathematics.

Here,

The formula is as follows: 6x + 18 = h(3x + 9)

To ensure that the expression has an unlimited number of answers, h's value must be determined.

Take the expression now and continue solving it.

=> 6x + 18 = h(3x + 9)

=>3hx + 9h= 6x +8

The expression will have an endless number of solutions if the coefficients of the left-hand side and the right-hand side are equal.

Therefore, 3h = 6 and h = 2

As a result, h = 2 is the answer to the equation in the given question.

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What is the value of x? Show your work in arriving at your answer.

Answers

The value of x is 18.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

First, both angles shown are equal to each other.

5x + 5 = 95

Next, the opposite side of the equation to isolate x value (5x).

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, we need to divide both sides of the equation by 5.

5x / 5 = 90 / 5

x = 18

The final answer: x = 18

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I need help with these two questions please help!!

Answers

An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. The variable is 28 square feet with x = 150 and A = (4)(7).

What is the simple definition of variable?

A variable is anything that can take on any one of a number of values, such as a quantity, a sign for a variable, or an element of a scientific experiment that is susceptible to change.

Any traits, figures, or amounts that may be gauged or counted are considered variables. Another name for a variable is a data item. Variables include things like age, sex, business income and expenses, birthplace, capital expenditures, class grades, eye colour, and vehicle type.

A variable is a value that can be altered depending on the mathematical issue. Numerous mathematical expressions and equations use the generic letters x, y, and z.

1)

[tex]$$\begin{aligned}& \frac{6}{100}=\frac{9}{x} \\& \frac{6 x}{6}=\frac{900}{6} \\& x=\frac{300}{2}\end{aligned}$$[/tex]=150.

2)

[tex]$A=(4)(7)$[/tex]

[tex]$A=28$[/tex] thirty feet

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A store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips and 8 pounds of walnuts, the total cost is $33. For 2 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $13.
Find the cost for each pound of chocolate chips and each pound of walnuts.

Answers

Answer:

chocolate chip 7

walnuts 3.5

Step-by-step explanation:

assume x=chocolate chips

 y=walnuts.

equation

4x + 8y=33

(2x+3y=13)×2

new eq

4x + 8y=33

4x + 6y=26

------------------

 2y=7

  y=7/2

4x+ 8y = 33

4x + 8(7/2)= 333

4x= 33-28

x=7.00

Parallel, intersecting, and perpendicular

Answers

The conditions of the line to be intersecting, parallel, and coincident are explained below.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The types of lines are as follows:

If the slope of the lines is different, then the lines are intersecting lines.If the slope of the lines is the same but the y-intercept of the lines is different, then the lines are parallel lines.If the slope and y-intercept of the lines are the same, then the lines are coincident lines.

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Use the graphs of f and g to graph h(x)=(f+g)(x). (Graph segments with closed endpoints).

Answers

The required graph of the function of h(x) is shown, where h(x) =  |x| + |x + 2|.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|


So,
h(x) = f + g

Now substitue the functions,

h(x) = |x| + |x + 2|

Thus, the required graph of the function of h(x) is shown.

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The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options. = –1 = 4 –15 + y1 =16 = y1

Answers

Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)

What is Midpoint of a Line

The midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.

The x - coordinate is calculated as;

-1 = (4 + x₁) / 2

-2  = 4 + x₁

x₁ = -2 - 4

x₁ = -6

The y - coordinates is calculated as;

8 = (-15 + y₁) / 2

16 = -15 + y₁

y₁ = 16 + 15

y₁ = 31

The coordinates of k is (-6, 31)

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"-12<-3x-15" less than or equal to 36

Answers

Answer:

-17 ≤ x < 1

Step-by-step explanation:

-12 < -3x - 15 ≤ 36

Add 15 to all 3 "sides."

-12 + 15 < -3x - 15 + 15 ≤ 36 + 15

3 < -3x ≤ 51

Divide all 3 "sides" by -3. Remember that when you multiply or divide an inequality by a negative number, you much change the direction of the inequality sign.

3/(-3) > -3x/(-3) ≥ 51/(-3)

-1 > x ≥ -17

Rewrite in standard order.

-17 ≤ x < 1

if molly needs to cross a river 16 feet wide how long does she have to walk

Answers

Molly has to walk for 16/x minutes where x is the speed of molly.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

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If n is a two-digit number, what is the sum of the digits of 99×n?

Answers

Answer: The sum of the digits of 99 × n is 27 - 10 = 17.

Step-by-step explanation:

To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.

For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.

Can y’all pls help me solve this!!

Answers

Answer:

From left to right picture,

Scale factor = 2/3

x = 24

y = 12

z = 21

Step-by-step explanation:

Look at the two figures and identify the sides where both lengths are known.

That is the top right-hand side.

Scale factor is hence 18/27 = 2/3

Next, find x, y and z:

Bottom left-hand side:   16/x = 2/3

                                            x = 3/2 x 16

                                             x = 24

Bottom right-hand side:    y/18 = 2/3

                                            y = 18 x 2/3

                                             y = 12

Top left-hand side:       14/z = 2/3

                                           z = 3/2 x 14

                                            z = 21

10c. What other sequence of transformations would produce the same final image from the original pre image? Check your answer by performing the transformations Then make a conjecture that generalizes your findings.

Answers

The pre-image and picture will become congruent to one another by the following transformations: Reflection, Rotation and Translation

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms).

Any of the aforementioned modifications result in an exact replica of the pre-image in the picture. The only thing that has changed about the figure is that it has been moved, rotated, or somehow reflected. The figurine is still the same size and form as before. Isometries are the name for these transformations.

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TEXT ANSWER
How can you use the unit price to find the cost of 10
pounds of tomatoes? Please help

Answers

To find the cost of 10 pounds of tomatoes, multiply 10 by the unit cost of tomatoes.

What is the unit cost?

The cost a business incurs to create, store, and sell one unit of a specific product is known as the unit cost. All fixed and variable production expenses are included in unit costs. Cost units are a way to measure the quantity of a good or service.

Unitary method: The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

The unitary method is used to find the unit cost of an object.

To find the cost of a unit object, multiply a by unit cost.

Given that, the unit cost of a unit pound of tomatoes.

The cost of 10 pounds of tomatoes is 10 ×  unit price of tomatoes.

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Convert the polar equation to rectangular form [tex]r=5cot(\theta)csc(\theta\))[/tex]

Answers

Answer:

[tex]\displaystyle x=\frac{1}{5}y^2[/tex]

Step-by-step explanation:

[tex]\displaystyle r=5\cot(\theta)\csc(\theta)\\\\r=5\biggr(\frac{\cos(\theta)}{\sin(\theta)}\biggr)\biggr(\frac{1}{\sin(\theta)}\biggr)\\\\r=\frac{5\cos(\theta)}{\sin^2(\theta)}\\\\r^2=\frac{5r\cos(\theta)}{\sin^2\theta}\\\\r^2\sin^2(\theta)=5r\cos(\theta)\\\\(r\sin(\theta))^2=5x\\\\y^2=5x\\\\x=\frac{1}{5}y^2[/tex]

Ann 's car can go 132 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.

Answers

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

evaluate 5² + 7 - 3 +4

Answers

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5² + 7 - 3 + 4

Simplify the expression, then we have

⇒ 5² + 7 - 3 + 4

⇒ 25 + 7 - 3 + 4

⇒ 36 - 3

⇒ 33

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

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The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?

Answers

The population of North Carolina will reach 12 million in the year 2028.

What is Population Growth?

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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What is the meaning of conditionally promoted in school​

Answers

Conditionally promoted is the status of a learner who did not meet expectations in at most two learning areas

Help desperatlu6(5x-3)

Answers

[tex]6(5x-3)[/tex]

Distribute:

[tex](6)(5x)+(6)(-3)[/tex]

[tex]=\fbox{30x - 18}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6(5x - 3)}[/tex]

[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]

[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]

[tex]\mathsf{= 30x - 18}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $12. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $31. Find the cost for each pound of almonds and each pound of jelly beans.

Answers

To find the cost of each pound of almonds, we need to find the difference in the cost of the almonds between the two purchases and divide it by the difference in the number of pounds of almonds. In this case, the difference in the cost of the almonds is $31 - $12 = $19 and the difference in the number of pounds of almonds is 3 - 5 = -2 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/-2 = $-9.50 per pound. This means that the cost of each pound of almonds is $-9.50.

To find the cost of each pound of jelly beans, we can use a similar process. In this case, the difference in the cost of the jelly beans is $31 - $12 = $19 and the difference in the number of pounds of jelly beans is 8 - 2 = 6 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/6 = $3.17 per pound. This means that the cost of each pound of jelly beans is $3.17.

what is schur polynomial in numerical analysis.

Answers

Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables, indexed by partitions, that generalize the elementary symmetric polynomials and the complete homogeneous symmetric polynomials.

What is Schur polynomial?Issai Schur gave the name Schur to a class of symmetric polynomials in n variables that generalize both the complete homogeneous symmetric polynomials and the elementary symmetric polynomials. They are the features of polynomial irreducible representations of the generic linear groups in representation theory. For the space of all symmetric polynomials, the Schur polynomials provide a linear basis. Any Schur polynomial product can be expressed as a linear combination of Schur polynomials with non-negative integral coefficients; these coefficients' values are supplied combinatorially by the Littlewood-Richardson rule. More generally, skew Schur polynomials are connected to pairs of partitions and share Schur polynomials' characteristics.

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1
Multiple Choice Question
What type of number is 105?
Choose all that apply
Whole number
Integer
Rational
Irrational

Answers

Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.

What are whole numbers?

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.

What are rational numbers?

A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.

The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.

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What is the solution of the inequality shown
below?
a+5>-7

Answers

The required solution for the inequality a + 5 > -7 is (-12, ∞).

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

a + 5 > -7

To find the solution for the inequality,

Simplify the inequality,

a + 5 > - 7

a > - 7 - 5

a > -12

The value of a is greater than -12, implies that,

The solution for the value of the given inequality is (-12, ∞).

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Prove that limx→2 2^x=4 using the formal definition of limit​.​

Answers

Answer:

Refer to step-by-step

Step-by-step explanation:

Prove that, [tex]\lim_{x \to \22} 2^{x}=4[/tex]

Plug in the value of 2 into the limit.

[tex](2)^{2}=4[/tex]

Thus we proved the limit.

42. Let f be a function from the set A to the set B. Let S and T be subsets of A. Show that
a) f(S ∪ T)=f(S) ∪ f(T).
b) f(S ∩ T) ⊆ f(S) ∩ f(T).

Answers

Start with any random elements of sets and compute LHS and RHS individually.

a) The proof of f(S ∪ T) = f(S) ∪ f(T) is explained below.

b) The proof of f(S ∩ T) ⊆ f(S) ∩ f(T) is expliane dbelow.

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Let, The set A = {1, 2, 3, 4, 5} and B = {2, 4, 5}.

Therefore, S = {1, 2, 3} and T = {1, 4, 5}.

Now, f(S ∪ T) = {1, 2, 3, 4, 5} and f(S) ∪ f(T) = {1, 2, 3} ∪ {1, 4, 5}.

Hence,  f(S ∪ T)=f(S) ∪ f(T).

Now, f(S ∩ T) = {1} and  f(S) ∩ f(T) =  {1, 2, 3} ∩ {1, 4, 5} = {1}.

Therefore,  f(S ∩ T) ⊆ f(S) ∩ f(T). (⊆ implies improper subset)

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pls help with this question find the slope from 1-6

Answers

Answer:

Step-by-step explanation:

1. ( -2, 2), (-1, 5)

   (5 - 2)/(-1 + 2)= 3/1= 3

2. (-4, 2), (2, 0)

   (0 - 2)/(2 + 4) = -2/6 = -1/3

3. (0, 3), (5, 1)

(1 - 3)/(5 - 0)= -2/5

4. (0, 0), (1, 1)

  (1 - 0)/(1 - 0)= 1/1= 1

5. (3, 0), (3, 1)

(1 - 0)/(3 - 3) = 1/0 = undefined

6. (0, -1)  (1, -1)

   (-1 + 1)/(1 - 0)= 0/1 = 0

Manicure sets at nails by Nina are marked up 47% from the cost of $8.36. What does a manicure set cost in Nina’s store?

Answers

Answer:

The cost of a manicure set in Nina's store is $12.30.

Step-by-step explanation:

To find the cost of the manicure set in Nina's store, you can use the following formula:

Selling price = Cost + Cost * Markup percentage

Substituting the given values into this formula, you get:

Selling price = $8.36 + $8.36 * 47%

To find the value of the markup percentage, you can convert 47% to a decimal by dividing it by 100: 47/100 = 0.47

Then you can use this value in the formula to find the selling price:

Selling price = $8.36 + $8.36 * 0.47

Round 0.295833333 to the nearest hundredth

Answers

Answer:

The answer is 0.30.

I wish you luck in your assignments.

Answer:

0.3

Step-by-step explanation:

Since 5 rounds up, that would cause the 0.09 to become a 0.1, so it would be 0.3

Find the missing numbers 46 62 87 123 ---- 236

Answers

Answer:

The missing numbers are 74, 105, and 178.

If a jacket is marked up 75% to be $350 and a month later is 20% off and then two weeks later is 30% off how much money did the company gain or lose


PLEEEEASE HELP!!!!!

Answers

280 AND 245 RS  the company GAIN,20% OFF it is 280 rs and 30% off it is 245 rs

How to calculate discount price in rupees?For example, you may want to calculate the sale price of a shirt that regularly costs Rs 1,000. If the shirt is 20% off, you must convert 20% to a decimal (20/100 = 0.2). You have Rs 1,000 * 0.2 = Rs 200. You then subtract the discount from the original price as Rs 1,000 – Rs 200 = Rs 800.Discount is the difference between the marked price (list price) and the selling price of an article. Therefore, the formula used to calculate discount is: Discount = List price - selling price.For example, $100 invested today in a savings scheme that offers a 10% interest rate will grow to $110. In other words, $110, which is the future value (FV), when discounted by the rate of 10% is worth $100 (present value) as of today

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According to Karl Marx, which class forms the core of the industrial proletariat?a. the upper-middle class b. the middle class c. the upper class (d). the working class Vines grow straight until they find something to grow around. What isresponsible for this adaptation? The distance that an object falls varies directly as the square of the time the object is in motion. If an object falls for 3 seconds, it will fall 144. 9 feet. To estimate the height of a cliff, a person drops a stone at the edge of the cliff and measures how long it takes for the stone to reach the base. If it takes 3. 5 seconds, what is the height of the cliff? Solve for x in this triangle. Round your answer to the nearest tenth. While explaining the importance of developing leadership skills among nurses to a group of first-year nursing students, Natalie, a nursing unit manager, emphasizes that: There are two basic kinds of credit cards. The typical credit card is based on a/an [ Select ] that is set by [ Select ] , and it is linked to your [ Select ] or personal request. The second kind of credit card is a [ Select ] and it is more like a [ Select ] because it is directly tied to a checking or savings account. All limits for this card are based on your [ Select ] instead of an approved limit. In a market urvey, 100 trader ell fruit. 40 ell apple, 46 orange, 50 mangoe, 14 apple and orange, 15 apple and mangoe and 10 ell all three fruit each of the 100 trader ell at leat one of the three fruit. (A) how many trader ell only one fruit. (B) how many trader ell only two fruit (36)^-2 x (9)^-2 i need help How many days are in 800 hrs? Round your answer to the nearest tenth. A cement factory emits 900 kilograms of CO2 to produce 1,000 kilograms of cement. A fully grown tree removes six kilograms of CO2 per day from the air. One acre of land can support 200 mature trees.A company builds a factory that will produce 100,000 kilograms of cement. To make the factory carbon neutral, the owners need to grow 15000 trees over an area of land measuring acres. (50 points) Need help asap (2nd and 3rd option are wrong) Dont know need help HELP 50 points :D1. You have $25 to spend on snacks for movie night with 4 of your friends. If individual boxes of raisins are $1.50, find the amount of money that remains per person for popcorn and a drink.2. The cost for a towns soccer league banquet is $960. There are 60 players in the soccer league. Determine the cost per player for the town if each player pays $5 to attend the banquet. 3. To solve the equation 2/3(x4)=10, Izzy wants to multiply both sides of the equation by the reciprocal of the fraction. Name the reciprocal. __/__4. There are 2 types of tickets to attend an awards dinnersilver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.(1 point)$___ for each silver ticket and $___ for each gold ticket5. Kendra is making bread, but the recipe shes using makes 4 loaves. She only wants to make one loaf. The changed recipe calls for 2 1/2 cups of flour and sugar combined. If the original recipe calls for 2 cups of sugar, find the amount of flour (in cups) in the original recipe. Oriole Univerity ell 5200 eaon baketball ticket at $215 each for 813 game home chedule give the entry to record (a) the eal of the eaon ticket and (b) the revenue recognized after playing the firt home game What is the genetic inheritance pattern of a calico cat? the alternative minimum tax base is typically ______ the regular income tax base. Shawn's leg has fallen asleep and now he has trouble walking because he cannot determine the position of his leg in space. Shawn has lost his ____. calculate the maximum capillary rise of water to be expected a, in a vertical glass tube 1mm in diameter b, in between tow concentric glass tubes of radii 4 and 5 mm. take 6=0.0733n c, in between two vertical parallel.clean glass plates spaced a distance of 2mm apart. Which of the following does not indicate velocity?A. 14 feet per second per secondC. 80 miles per hour towards New YorkB. 40 miles per hour towards townD. 28 miles per second towards Ohio What do you think was the most important social or economic effect of the columbian exchange? Support your opinion with evidence.