The length (in inches) of the second tablecloth is 43.75 inches
How to determine the length of the second tablecloth?From the question, we have the following parameters that can be used in our computation:
Width = 48 inches. and Length = 72 inches ⇒ Small tablecloth
Width = 30 inches. and Length = ?? inches ⇒ Large tablecloth
Represent the unknown length with x
So, we have
Width = 48 inches. and Length = 72 inches ⇒ Small tablecloth
Width = 30 inches. and Length = x inches ⇒ Large tablecloth
This shows a direct variation
So, we cross multiply the equation
x * 48 = 70 * 30
So, we have
x = 70 * 30/48
Evaluate
x = 43.75
Hence, the length is 43.75 inches
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Match each expression on the left with its quotient. Use number sense and estimation to help.
5.85 or 36 or 9.4 or 21.5
40.42 ÷ 4.3 ( Drag Here )
15.48 ÷ 0.72 ( Drag Here )
86.4 ÷ 2.4 ( Drag Here )
50.31 ÷ 8.6 ( Drag Here )
Answer:
40.42 ÷ 4.3 = 9.4
15.48 ÷ 0.72 = 21.5
86.4 ÷ 2.4 = 36
50.31 ÷ 8.6 = 5.85
Four students are getting ready for a running competition. They each set a goal to run
a certain number of laps in the week before the competition.
Ivory's goal is to run 50
laps. They ran 35 laps. What percent of their goal is this?
Answer: 70%
Step-by-step explanation: To find the percent of their goal that Ivory ran, divide the number of laps they ran by their goal and multiply by 100. In this case, Ivory ran 35 / 50 * 100 = 70% of their goal.
186283 miles every second is how many feet per hour
Step-by-step explanation:
To convert 186283 miles per second to feet per hour, we need to first convert the distance from miles to feet. There are 5280 feet in a mile, so 186283 miles is equal to 186283 * 5280 = 9,839,784,000 feet.
We also need to convert the time from seconds to hours. There are 3600 seconds in an hour, so 186283 seconds is equal to 186283 / 3600 = 51.8 hours.
Therefore, 186283 miles per second is equal to 9,839,784,000 feet per 51.8 hours, or approximately 188,822,900 feet per hour. This is the final answer.
If f(x) ==x²-1, and
g(x) = x + 5, then
f(g(x)) = [? ]x²+[ ]x + [ ]
Answer:
-1, -10, -26
Step-by-step explanation:
f(x) = -x² - 1
g(x) = x + 5
f(g(x)) =
-(g(x))² - 1 = ==> plugin g(x) for x in f(x) in order to get f(g(x))
-(x + 5)² - 1 = ==> plugin x+5 for g(x)
-(x + 5)(x + 5) - 1 =
-(x(x + 5) + 5(x + 5)) - 1 = ==> distribute (x+5) to x and 5
-((x*x + 5*x) + (5*x + 5*5)) - 1 = ==> simplify
-(x^2 + 5x + 5x + 25) - 1 =
-(x^2 + 10x + 25) - 1 =
-x^2 - 10x - 25 - 1 = ==> distribute the negative sign to x^2, 10x, and 25
-x^2 - 10x - 26 = -1x^2 + (-10x) + (-26)
Subtracting by a positive number is equivalent to adding by a negative number
Answer: -1, -10, -26
What is the slope of a line parallel to the line
3x - 2y = 8?
Answer:
looooookkkk att the picture
Tonya is packing a moving truck with
boxes. Each box is 8 inches high. The
space remaining is 56 inches high. A
space of 2 inches must be left on top.
4. What is the maximum number of
boxes that will fit in the remaining
space?
A.4
B.5
C. 6
D.7
Answer:
C. 6
Step-by-step explanation:
You want to know the number of 8-inch high boxes that will fit in a space 56 inches high, if an empty space of at least 2 inches must be left.
RelationThe number (n) of boxes and the required empty space that can fit in the available space is ...
8n +2 ≤ 56
8n ≤ 54
n ≤ 6 3/4
6 boxes will fit in the remaining space.
Find the equation that matches the following table.
X Y
-3 4
0 2
3 0
Answer:
In order to find out the equation of liner function first of all u need to find the slope of it (a) then put it in general form of liner functions, afterwards put desire point of x,y table in equation to find the b.
form of liner function : y= ax+b
step 1. finding the slope
[tex]a = \frac{y1 - y2}{x1 - x2} [/tex]
for example I'll put (-3,4) and (0,2) to this formula,
the slope would be -2/3
step2. finding the b
put a desire point of x,y table for example (3,0)
0 = -2/3 × 3 + b
b would be 2
so the equation is y= -2/3x + 2
Write a rule that transforms ABC into A'B'C'
Answer:
(x - 5, y - 1)
Step-by-step explanation:
The x value tells how many units to move right or left. Right would be adding to x and left would be subtracting from x.
The figure is moved 5 spaces left that would be a rule of x -5.
The y value tells how many units to move up or down. Up would be addition and down would be subtraction. In this case, we are moving the figure down one unit so the rule would be y - 1
Find the solution to the system of equations. -4-3-2-1 4M= 432 21 1 1234 -1 -2 -3 -4 /y = 2x + B 1 2 3 4 y=-x ([?], [])
After solving the equations, the value obtained for x and y will be equal to (-1, 1).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
y = 2x + 3 (i)
y = -x (ii)
Substitute equation (ii) in (i)
-x = 2x + 3
-x - 2x = 3
-3x = 3
x = -3/3
x = -1
Substitute x = -1 in equation (i)
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
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What is the greatest common factor of 33 and 49
Answer:
1
Step-by-step explanation:
All factors of 33 : 1, 3, 11, 33
All factors of 49 : 1, 7, 49
So the Greatest Common Factor for 33 and 49 is 1
I NEED HELP ASAP!!! Martina and Sabrina created a number pattern that began with the number 0.
• Martina used the rule “Add 2.”
• Sabrina used the rule “Add 6.”
Which statement is true about each corresponding pair of numbers in the two patterns?
Responses
A Each number in Sabrina’s pattern is 4 more than the corresponding number in Martina’s pattern.Each number in Sabrina’s pattern is 4 more than the corresponding number in Martina’s pattern.
B Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern.
C Each number in Sabrina’s pattern is 4 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 4 times the corresponding number in Martina’s pattern.
D Each number in Sabrina’s pattern is 4 less than the corresponding number in Martina’s pattern.
The correct statement is "each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern."
What is a statement?
A statement in mathematics is a declarative utterance that can only be either true or false. A proposal is another name for a statement. It's important that there be no ambiguity. A sentence can only be true or untrue and not both for it to be a statement.
Given that:
Martina used the rule “Add 2.”
Sabrina used the rule “Add 6.”
The rule that Martina is follow is
M(n) = starting number + 2n
M(n) = 0 + 2n
M(n) = 2n
The rule that Sabrina is follow is
S(n) = starting number + 6n
S(n) = 0 + 6n
S(n) = 6n
S(n) = 3 × 2n
S(n) = 3 × S(n)
Thus Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern.
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5. ______ is the transfer of thermal energy by collisions between particles in matter.
a.Convection b.Radiation. c.Conduction. d.Contact
Answer:
conduction its the answer
Miguel is mailing packages.Each small package cost him $2.20 to send.Each large package cost him $3.90.How much will it cost him to send 6 small packages and 1 large package?
Answer: $13.50
Step-by-step explanation:
It will cost Miguel $13.50 to send 6 small packages and 1 large package. To find the total cost, we can first calculate the cost of sending the small packages by multiplying the cost per small package by the number of small packages: 2.20 * 6 = $<<2.20*6=13.20>>13.20
We can then add the cost of the large package to find the total cost: 13.20 + 3.90 = $<<13.20+3.90=17.10>>17.10.
Therefore, it will cost Miguel $17.10 to send 6 small packages and 1 large package.
Determine all real values of a.
a2 = 81
A: a = 9
B: a = ±9
C: a = 40.5
D: a = ±40.5
A store is having a sale on jelly beans and almonds. For 7 pounds of jelly beans and 9 pounds of almonds, the total cost is $46. For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $20. Find the cost for each pound of jelly beans and each pound of almonds.
Answer:
jelly beans: $1.75 per poundalmonds: $3.75 per poundStep-by-step explanation:
You want to know the prices of jelly beans and almonds when you can buy 7 pounds of jelly beans and 9 pounds of almonds for $46, or 5 pounds of jelly beans and 3 pounds of almonds for $20.
EquationsThe equations describing each purchase can be written as ...
7j +9a = 465j +3a = 20SolutionA graphing calculator plots these equations easily, and shows you the solution is (j, a) = (1.75, 3.75).
Jelly beans are $1.75 per pound; almonds are $3.75 per pound.
EliminationIf you like, you can solve these equations by elimination. We notice the coefficients of 'a' have a simple ratio, so we can eliminate 'a' easily.
3(5j +3a) -(7j +9a) = 3(20) -(46) . . . . . subtract the first from 3 times the second
8j = 14 . . . . . simplify
j = 1.75 . . . . . divide by 8
Substituting into the second equation, we get ...
5(1.75) +3a = 20
3a = 11.25 . . . . . . . . . subtract 8.75
a = 3.75 . . . . . . . . divide by 3
Jelly beans are $1.75 per pound; almonds are $3.75 per pound.
Mrs. Zollicoffer’s bank pays 5 1/4% interest. She has $1,000 in the bank. How much interest would she receive in one year?
The interest that Zollicoffer will receive in one year is $52.50.
How much interest would Zollicoffer receive in one year?The formula that is used for calculating the interest will be:
Interest = principal × rate × time
In this case, Mrs. Zollicoffer’s bank pays 5 1/4% interest. She has $1,000 in the bank. The interest that she would receive in one year will be:
Interest = Principal × Rate × Time
Interest = 1000 × 5.25% × 1
Interest = $52.5
The interest is $52.50.
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Which can be represented by the expression 5+3(x-6)
O6 less than 3 times the sum of a number and 5
O the sum of 5 and 3 times the difference of a numbe
Othe cube of the sum of a number and 3 less than 5
the difference between 5 and the cube of the difference of a number and 6
Correct answer of the expression 5+3(x+6) is the sum of 5 and 3 times the difference of a number by 6
what is expression?A finite collection of symbols that are well-formed in mathematics according to context-dependent principles is called an expression or mathematical expression.
given
the expression 5+3(x+6)
it is concluded from the expression 5+3(x+6) that the sum of 5 and 3 times the difference of the number which is x by 6
so the correct answer of the expression 5+3(x+6) is the sum of 5 and 3 times the difference of a number by 6
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Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?
Answer:Th numbers between the bars represents:
A) The age classes, in 5-year ranges
Explanation:The age classes are indicated by the numbers between the bars, while the numbers within the bars show the popularity of each age group in millions.
Typically, a population pyramid like the one below does not display the number of births that occurred in a single year. However, by looking at the year the population pyramid was developed and deducting from it the corresponding ages shown in the pyramid, one can estimate this information.
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complete question:
Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?
a) the age classes, in 5-year ranges
b) the number of people born in a particular year
c) the total population(in Million) of males and females
d) the percentage of the population in each age class.
Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Which of the following points will have pins? Select all that apply.
A coordinate plane has an x-axis labeled East from 0 to 10 in increments of 1 and a y-axis labeled North from 0 to 10 in increments of 1.
A.
(5, 6)
B.
(6, 8)
C.
(7, 10)
D.
(8, 17)
E.
(9, 18)
F.
(10, 21)
Answer:
A, B, C.
Step-by-step explanation:
The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Select two options.
The graph is continuous.
All values of t must be positive.
A viable solution is (-2,38)
A viable solution is (0.5, 40.5)
A viable solution is (10,50)
The two true options are A and D
The two options that are true about the graph that represents this real-world scenario are;
All the t values must be positive, and a viable solution is (10, 50). Hence, the correct option for this question is A and D.
Plotting the data in the graph is advantageous because it gives a visual presentation of the data and makes it easy to observe and forecast the large data set in a short time.
In the case of this question, the temperature is directly reliant on the c number of cricket chirps heard in 14 seconds. Therefore, if all the c values must be positive integers, the values of t must also be positive numbers.
t = c + 40
Because 10 is a positive integer, it is a possible c value
If c = 10
t = 40 + 10
t = 50
A viable solution (10, 50) represents the values of c and t, respectively, to predict the data more accurately and with validity.
Therefore, the correct option for this question is A and D.
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A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.
The volume expression for the box is 1.728lwh and it means that the volume increases by 72.8%
How to determine the volume expression for the box?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
Length = l
Width = w
Height = h
The volume of a box can be calculated using
Volume = lwh
Rewrite the volume equation as
v = lwh
When the dimensions of the box are increased by 20%, we have the following expressions
Length = 1.2l
Width = 1.2w
Height = 1.2h
So, the new volume is
V = 1.2l * 1.2w * 1.2h
Evaluate
V = 1.728lwh
Hence, the expression is 1.728lwh
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A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.
Determine the expression for the new volume
can anyone help me out!
Answer:
I don't know this is confused
At a busy street corner in a large city, right at the morning rush hour, a psychologist counted the number of people waiting for the light to change. A confederate dressed as a homeless man crossed the street against the light. The psychologist counted the number of people who followed him. Whern the next group collected to wait for the light to change, another confederate, dressed as a well-to-do businessman, crossed the street against the light, and the psychologist counted the number of people who followed him. Analyze the data, X2, Write the conclusions and answer the question below Followed Did Not Follow Homeless Man 3 15 Businessman 8 7 What can the psychologist say about the influence of appearance on whether or not a person takes risks?
Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.
What do hypotheses and null hypotheses mean?Using a statistical test, researchers compare the evidence supporting the null and alternative hypotheses, which are two conflicting claims: There is no population impact, or null hypothesis (H0). There is a population effect, or alternative hypothesis (Ha or H1).
Here,
Procedure for the Mega Stat Excel add-in:
The first step is to choose Add-Ins > Mega Stat > Chi-square/Crosstab > Contingency Table in EXCEL.
Step 2: Select the cell range A1:C3 in the input range box.
Step 3. Pick chi-square under Output Options. Click OK in Step 4.
Mega Stat output from the Excel add-in
Test for Independence Using a Chi-Square Contingency Table
Total Number of Followed Did Not Follow
Homeless Man 3 15 18
Businessman 8 7 15
Total 11 22 33
4.95 chi-square
1 df
.0261 p-value
Consequently, the p-value is 0.0261.
Decide on a significance threshold of 0.05.
The p-value in this instance, which is lower than the value of a = 0.05, is 0.0261. In other words, the p-value was (=0.0261) (=0.05).
Reject the null hypothesis in light of the rejection rule. [tex]H_{0}[/tex]
Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.
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Solve 7x-6y=17 for y.
The value of y in the linear equation 7x - 6y = 17 is y = -(17 + 7x)/6
Linear EquationLinear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.
In this problem, we are to solve for y.
7x - 6y = 17
Step 1
Take 7x to the right hand side of the equation
-6y = 17 - 7x
Step 2
Divide both sides by the coefficient of y
-6y / -6 = (17 - 7x) / - 6
y = - (17 + 7x) / 6
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Use the graph of the exponential function to find k, rounded to the nearest hundredth.
Responses
A
1.61
B
0.32
C
1.00
D
0.83
The value of k is 0.32 .
What is an exponential function?
The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent.
An exponential function is a function that usually takes the form f(x) = bˣ.
The exponential curve depends on the exponential function and it depends on the value of the x.
where;
b = base
ˣ = power
The general exponential function that models the data given is:
[tex]y = ce^{kt}[/tex]
According to the (5,5c)
[tex]ce^{5k} = 5c\\\\e^{5k} = 5\\\\5k = ln5\\\\k = \frac{ln5}{5} \\\\k = 0.32[/tex]
Hence , the value of k is 0.32 .
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I’m so lost someone help!
Answer:
Cubic, Binomial
Step-by-step explanation:
A cubic function is when the degree of the polynomial is 3
The degree is the highest power
A binomial has 2 terms
So 8x^3-1 is a binomial and is cubic
Construct a venn diagram illustrating the sets below. U = {1,2,3,4,5,6,7,8,9} Y={1,3,4,6,7} Z={1,5,7}
Answer:
Step-by-step explanation:
Here is a Venn diagram illustrating the sets U, Y, and Z:
Y
_____|_____
| |
| |
| |
| |
Z | U |
| |
| |
| |
|_____ _|
|__ _|
Z
In this diagram, the set U is represented by the large circle, the set Y is represented by the smaller circle inside U, and the set Z is represented by the smaller circle outside U. The region where the three circles overlap represents the intersection of all three sets. The region inside U but outside Y and Z represents the elements in U that are not in Y or Z. The region inside Y but outside U and Z represents the elements in Y that are not in U or Z. The region inside Z but outside U and Y represents the elements in Z that are not in U or Y. Finally, the region outside all three circles represents the elements that are not in any of the sets U, Y, or Z.
Solve the following equation for b. You may assume all variables are positive
so do not use or absolute values.
m = 4fb²-g²
Answer:
b = √(m+g²)/4f
Step-by-step explanation:
Estimate y when x = 8 from the best fitted straight line y = 13.06 + 0.6x.
Answer:
y = 17.86
Step-by-step explanation:
y = 13.06 + .6x Substitute in 8 for x
y = 13.06 + .6(8)
y = 13.06 + 4.8
y = 17.86
John Carlo takes a car to a little business to borrow some money, John Carlo is given 3,400.00.00. He must pay back the $3,400.00 in addition to a $1,000.00 fee in 4 months.
What is the simple interest rate is he being charged?
Answer:
Step-by-step explanation:
simple interest I = Prt
I = $1,000 = 3,400r (4/12)
⇒ 3,400r (4/12) = 1,000
⇒ 3400r = 333.333
⇒ r = 0.098
≈ 9.80 %