The student council sold $273$ t-shirts were sold at $\$10$ per shirt.
Let $x$ be the number of shirts sold at $\$10$
Let $y$ be the number of shirts sold at $\$12$
$x+y=661$
$10x+12y=3780$
$x=y+101$
$10y+12y=3780$
$22y=3780$
$y=172$
$x=172+101$
$x=273$
Hence $273$ t-shirts were sold at $\$10$ per shirt.
If they sold $661$ t-shirts in total, and they made a mistake when recording the amount of t-shirts sold at each price, then they actually sold more t-shirts at $\$10$ than they thought. This means that they thought they sold fewer t-shirts at $\$10$ than they actually did.
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Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645. What is the income from operations of your business?.
The income from operations of your business is $2,12,440.
Given:
Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645.
Total expenses = administrative + marketing expenses
= $29,147 + $32,645
= $61792
Income = gross profit - total expenses
= 274232 - 61792
= $2,12,440
Therefore the income from operations of your business is $2,12,440.
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Consider the expression 1/3bwh
Complete 2 of the description parts of the expression:
1. The entire expression is the product of ____.
2. In this context, 1/3 is a ____.
1. The entire expression is the product of 4 factors.
2. In this context, 1/3 is a coefficient.
What are factors?Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors simply refers to numbers which can be multiplied together to get another number.
What is a coefficient?In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.
Based on the given expression 1/3bwh, we can logically deduce that there are four (4) factors and these include the following:
1/3bwhIn conclusion, 1/3 is considered as a coefficient of bwh.
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I need assistance of Geometry, please help. (Transformation, Triangles, and Quadrilaterals.)
Answer: oh ok
Step-by-step explanation:
well you know just ask your mom
A small pizza has a diameter of 8 inches.
(a) What is the size of the outer ring of the pizza?
(b) What is the amount of cheese covering the entire top of the pizza?
The size of the outer ring of the pizza = 25.12 inches
The amount of cheese covering the entire top of the pizza = 50.24 sq inches.
A small pizza has a diameter of 8 inches.
A Pizza has a circular base structure whose diameter, d = 8 inches.
Radius of the pizza, r = d/2 = 8/2 = 4 inches.
The size of the outer ring of the pizza means we talk about the circumference of the pizza.
The size of the outer ring of the pizza = 2πr
If we take the value π = 3.14 ( round off figure)
Then the size of the outer ring of the pizza = 2×3.14×4=25.12 inches.
The amount of cheese covering the entire top of the pizza means we talk about entire top area of the pizza.
The amount of cheese covering the entire top of the pizza = π × r^2
= 3.14 ×4×4
The amount of cheese covering the entire top of the pizza = 50.24 sq inches.
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Find the cross-sectional area
Answer:
at middle of a,b,c
Step-by-step explanation:
........
At an electronics store, a $165 television is marked up 110%. Trevor purchases the tv and must pay 6. 5% sales tax. What is the total cost of this television at the store? a. $193. 30 b. $299. 48 c. $369. 02 d. $571. 73.
The total cost of this television at the store is $193.30
Given,
A $165 television has indeed been increased 110% in price at an electronics store. When Trevor buys the TV, he is bound to pay 6.5% in sales tax.
A $165 television has been increased 110% in price at an electronics store.
When Trevor buys the TV, a 6.5% sales tax is due.
Consequently, this television will cost in the store a total of
The total cost of the TV is equal to 165 dollars multiplied by 1.10 and 1.065.
⇒ $165*1.10*1.065
= $193.30
TVs cost a total of $193.30.
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In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is.
The number of degree of freedom for reading the t values is 60 , the correct option is (c) .
In the question ,
it is given that ,
number of items in the sample = 61 items
the mean of the sample is given as 23 ,
we have to find the degree of freedom(df) ,
the degree of freedom(df) can be solved using the formula
degree of freedom(df) [tex]=[/tex] (number of observations) - 1
Substituting the values in the formula ,
we get ,
degree of freedom = 61 - 1
= 60
Therefore , The number of degree of freedom for reading the t values is 60 , the correct option is (c) .
The given question is incomplete , the complete question is
In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is ?
(a) 22
(b) 23
(c) 60
(d) 61
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pleaseeeeeee explain
The fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that, the ratio of battleships to destroyers in the navy is 10:15.
battleships : destroyers = 10:15
The fraction of the total number of boats is the number of destroyers is,
=15/10+15
=15/25
The ratio of battleships to destroyers in the navy is 10:15. The number of battleships is 0.56 times the number of destroyers.
Thus, the fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.
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Lesson Performance Task
The image shows the angles formed by a pair of scissors. When the
scissors are closed, m<1= 0°. As the scissors are opened, the measures
of all four angles change in relation to each other. Describe how the
measures change as m<1 increases from 0° to 180°.
Answer: Angle 3 is a vertical angle of angle 1 and will always be identical to what angle 1 is.
Angle 2 and angle 4 are supplementary angles to angle 1 and will always be the difference between 180 and what angle 1 is.
For example, if angle 1 were 45 degrees, angle 3 would also be 45 degrees, and angles 2 and 4 would be 180-45 = 135 degrees.
Step-by-step explanation:
Help me asap please!! Ill mark brainliest!! I really need to get this right! ty:))
Answer:
y=1/2x+2
Step-by-step explanation:
slope form is y=mx+b
m-slope
b- y intercept (when x is 0)
To find slope we use y2-y1/x2-x1
4-3/4-2
1/2 is the slope
Now we know every time X goes up 1 y goes up 1/2 so we subtract back to find y intercept
(1,2.5)
(0,2)
Y intercept is 2
Hopes this helps please mark brainliest
pls help me with annoying sparx maths questions
and ill mark u as brainiest
What is the answer to the equation:
2x+10=3x-5
Answer:
x=15
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
See image below
The test statistic of z = 1.49 is obtained when testing the claim that p > 0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H0 or should we fail to reject H0?
By using right tailed test the following results are obtained
a) The test is a right tailed test
b) P value = 0.0681
c) We fail to reject the null hypothesis
What is right tailed test?
Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.
a) Since p > 0.8, right tailed test is used
b) The corrosponding z is z = 1.49
P value = p(z > 1.49)
= 1 - p(z [tex]\leq[/tex] 1.49)
= 1 - 0.9319
= 0.0681
c) 0.0681 is greater than a = 0.05
So we fail to reject the null hypothesis [tex]H_0[/tex]
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there are 200 sixth graders and 170 of them want to take geometry and 175 want to take algebra what is the least number of people who want to take both geomtry and algebra
The least number of people who want to take both geometry and algebra is 145
How to find the least number of people that would like to take geometry and algebraThe inclusion-exclusion principle is a counting method that generalizes the well-known approach to determining the number of members in the union of two
The inclusion - exclusion principle is used here
let the number that will take both algebra and geometry be x
200 = 170 - x + 175 - x + x
200 = 345 - x
x = 354 - 200
x = 145
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The least number of people who want to take both geometry and algebra is 145 graders
What is intersection of set?The intersection of sets can be denoted using the symbol '∩'. the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.
The number of graders that want to take geometry is 170
The number of graders that want to take algebra is 175
A ∩ G= n(A) + n(G) -( AUB)
=175+170-200
= 345-200
= 145
Therefore the least number of people that will want to do both geometry and algebra is 145
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Write the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1.
The quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.
We know that the standard form of a quadratic equation is given by;
y = f(x) = ax² + bx + c = 0
We are given:
The roots of the quadratic equation are -3 and -1.
The leading coefficient of the quadratic equation is 1.
We need to find the quadratic equation.
The roots of the quadratic equation are -3 and -1.
So, (x + 3) and (x + 1) will be the factors.
Since the leading coefficient of the quadratic equation is 1.
So, the quadratic equation is given by;
1 * (x + 3) * (x + 1) = 0
x (x + 1) + 3 (x + 1) = 0
x^2 + x + 3x + 3 = 0
x^2 + 4x + 3 = 0
So, the required quadratic equation is x^2 + 4x + 3 = 0.
Thus, the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.
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What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7
The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.
In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
So, the roots of 0 = 2x² + 12x-14 are:
2x² + 12x-14 = 0
2x² + 14x - 2x -14
2x(x + 7) - 2(x + 7)
(2x - 2) (x + 7)
Now, use the zero product property as follows:
2x - 2 = 0
2x = 2
x = 2/2
x = 1
And
x + 7 = 0
x = -7
Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.
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Correct question:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
a. 1,6, -7
b. 2,12,-14
c. -7,1
d. -1,7
A scientist uses a submarine to study ocean life. . She begins 198 feet below sea level. After traveling down for 15 seconds, she's 316 feet below sea level. 0 Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.
The rate of change in the submarine's elevation is given by 7.87 feet per second approximately.
Given that the initial depth of the submarine = 198 feet
The final depth of the submarine = 316 feet.
The submarine takes 15 seconds to reach the final depth to initial depth.
The elevation of the submarine = (316-198) = 118 feet
So the rate of change = 118/15 = 7.87 feet/second (approximately)
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a bag contains 11 counters.
5 of the counters are white.
a counter is taken at random from the bag and is not replaced.
a 2nd counter is taken out of the bag by random.
calc probability that only one of the counters is white.
The probability that only one of the counters is white is the fraction 6/11 or 0.55 considering that the first take is without replacement
Probability of an event without replacementThe probability for an event without replacement implies that once an item is taken, then we do not replace it back to the sample space before taking a second item.
Given that there are 11 counters in the bag, with 5 of them being white;
The probability of taking a white counter = 5/11
The probability of not taking a white counter = 6/11
The probability of taking a white counter first without replacement and not taking it the second time = (6/11) × (5/10)
The probability of not taking a white counter first without replacement and taking it the second time = (5/11) × (6/10)
The probability that only one of the counters is white = (6/11) × (5/10) + (5/11) × (6/10)
The probability that only one of the counters is white = (30/110) + (30/110)
Therefore, probability that only one of the counters is white = 6/11 [by simplification]
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question is in the pic
The ordered pair that shows the dilation of the square ABCD, located at A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7), by a scale factor of 5 about the origin is option B
B. A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)
What is a dilation transformation?A dilation transformation is in which the sizes of the sides of the pre image or original figure is changes proportionately to get the image.
The vertex of the preimage ABCD are; A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7)
A dilation by a scale factor of 5 is found using the formula;
(x, y) Dilation by scale factor of 5 about the origin ⇒ (5·x, 5·y)
Therefore, the coordinates of the square ABCD following a dilation by a scale factor of 5 is therefore;
A'(5 × -10, 5 × -2), B'(5 × -5, 5 × -2), C'(5 × -5, 5 × -7), and D'(5 × -10, 5 × -7)
Which gives;
A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)
Checking the lengths of the sides gives;
AB = 5
A'B' = -25 - (-50) = 25
BC = 5
B'C' = -10 - (-30) = 25
CD = 5
C'D' = -25 - (-50) = 25
AD = 5
A'D' = -10 - (-35) = 25
Therefore, the lengths of the sides of A'B'C'D' are 5 times the lengths of the sides of the square ABCD
The correct option is therefore option B
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A cuboid has sides xcm, 5cm and 7 cm. The total surface area of the cuboid is 142 cm². Form an equation in terms of x. Solve the equation to find x.
We know that the surface area of cuboid with sides L, B and H is given by,
S = 2 (LB + BH + LH)
Given that the sides of cuboid are x cm, 5 cm and 7 cm.
So L = x cm and B = 5 cm and H = 7 cm.
Given that the surface area of the cuboid is 142 square cm.
According to information the suitable equation for this is:
2(5x+7*5+7x) = 142
Now solving the equation we get,
5x+35+7x = 142/2 = 71
12x+35 = 71
12x = 71-35
12x = 36
x = 36/12
x = 3
Hence the value of x is 3 cm.
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PLS HELP
Find the missing term
b) 3:7= : __ 42
The missing term is 18.
How to find denominator ?The lower number in a fraction is known as the denominator. It demonstrates the equal division of something into portions. Four would be the denominator, for instance, if the fraction was 3/4.Making ensuring your denominators are the same is always the first step when adding or subtracting fractions. This implies that you must identify the common factor. The numerators may then be easily added or subtracted after you have determined the common denominator.Equations with identical denominators are simple to solve because you don't need to identify their shared denominator. The lowest common denominator is known. For instance: 1/4 + 2/4 = 3/4The common denominator in this equation is 4, thus. As a result, you may add the numerators together and place 4 at the bottom of the fraction. You now have 3/4.From given details : 3:7= : __ 42
Here's a little tip for you. Any numbercan be converted to fraction if you
use 1 as the denominator: = 3 / 7 = 42 / 1
= 3 x 42 / 7 x 1 = 126 / 7
= 18
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Determine the value of x in the equation.
Four fifths times the quantity x plus 9 end quantity minus one fifth times x equals three fifths times the quantity x plus 12 end quantity.
A). No solution
B). Infinite solutions
C). x = 3
D). x = 1
Answer:
B) Infinite solutions
Step-by-step explanation:
[tex] \frac{4}{5} (x + 9) - \frac{1}{5} x = \frac{3}{5} (x + 12)[/tex]
[tex] \frac{4}{5} x + \frac{36}{5} - \frac{1}{5} x = \frac{3}{5} x + \frac{36}{5} [/tex]
[tex] \frac{3}{5} x = \frac{3}{5} x[/tex]
We have infinite solutions.
Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
a. Complete the table to model the situation.
The given table is completed.
Given,
Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
we are asked to complete the table to model the situation.
Month is represented by x.
Amount in savings, be y.
hence we frame:
x = 0, y = $125
x = 1, y = $(125+53.5) = $178.50
x = 2, y = $(178.50+53.5) = $232
x = 3, y = $(232+53.5) = $285.50
x = 4, y = $(285.50+53.5) = $339
hence we complete the table for 5 months,
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Please help me with this question
Answer:
1.5 cm
Step-by-step explanation:
Triangles WTY and UTV are similar. Segment WT corresponds to UT and segment YT corresponds to VT. Thus we can create an equation knowing that the ratio of WT to UT must equal to the ratio of YT to VT.
WT = 7.5 cm
UT = ?
YT = 15 cm
VT = 12 cm
WT / UT = YT / VT
7.5 / UT = 15 / 12
UT = 6
WT = WU + UT
7.5 = WU + 6
WU = 1.5
Let us consider the points with an integer y-coordinate from (-1) to 1 and with an integer x-coordinate from (-20) to 20. How many lines are there parallel to the line y=2x and passing through any of these points? PLEASE HELP I NEED THE ANSWER!!!!
There are infinite linear functions that are parallel to y = 2x passing through these two points.
What is a linear function?The slope-intercept representation of a linear function is presented by the equation shown as follows:
y = mx + b
The coefficients of the the linear function, along with their meaning, are described as follows:
m is the slope of the function, representing the unit rate of change of the output y in relation to the input x.b is the y-intercept of the function, which is value of y at which the linear function crosses the y-axis.What defines two parallel linear functions is that they have the same slope.
The slope of the line y = 2x is of 2, hence we will have an infinity number of linear functions in the following format:
y = 2x + b.
In which b is the y-intercept of the function.
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Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of Sprite to make 12 cups. He pays $3.00 for a 2-liter container of Sprite and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.
The $3.00 for 2 liters of Sprite and $16 for 1 gallon of raspberry sorbet indicates that the minimum amount Rafael should sell a cup of punch.
The minimum price at which Rafael should sell a cup of punch to make a profit of $10 is approximately $2.42 What is a profit?A profit is a financial gain from the revenue that exceeds the sum of expenses and the taxes.
The ingredients required to make 12 cups of punch are;
1 gallon of raspberry and 2 liters of Sprite
Amount he pays for 2-liter of Sprite = $3.00
Amount paid for a quart of sorbet = $4.00
The minimum amount to be charged so as to make a $10 profit is found as follows;
4 quarts is equivalent to one gallon
Therefore;
1 quart of sorbet costs $4
4 quart of sorbet = 1 gallon of sorbet costs 4 × $4 = $16
The cost of 2-liters of Sprite = $3.00
The cost of 12 cups of punch is therefore;
$3 + $16 = $19
The revenue when a profit of $10 is made is therefore;
Revenue = $19 + $10 = $29
The selling price per cup, p, is therefore;
p = $29 ÷ 12 $2.42
The price per cup to make a profit of $10 is approximately $2.42≈
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HELP SOLVE FOR 24 points
Answer:
Slope = -1/6
Step-by-step explanation:
Answer:
the correct one is Slope = -1/6
You estimate that there are 42 marbles in a jar. The actual amount is 67 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.
If the actual amount is 67 marbles. the percent error is 37%.
How to find the percent error?Using this formula to find the percent error
Percent error = Actual value -Estimated value/ Estimated value
Where:
Actual value = 67
Estimated value = 42
Let plug in the formula
Percent error = 67 - 42 /67
Percent error = 25/67 × 100
Percent error = 37%
Therefore the percent error is 37%.
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Which expressions are equivalent to g16? Check all that apply.
Answer:
I think you mean 6^16
if so, the right answers are
the 3rd one (6^-4)^-4
the 4th one (6^-2)^-8
last answer (6^8)^2
Step-by-step explanation:
you have to apply the Powers of a Powers Property:
(a^n)^m=a^(nm), basically you're multiplying the exponents (the powers)
Hope this helps.
The points (5, 4), (3, 2), and (-1, -2) all lie on the same line. Which is another
point that lies on the same line?
(-4,-5)
(7,5)
(-3, -3)
(0, 1)
Another point that lies on the same line is (-4,-5).
Given:
The points (5, 4), (3, 2), and (-1, -2) all lie on the same line.
if lines are on the same line there slopes are equal:
(5,4) and (3,2)
slope m = 2-4 / 3-5
= -2/-2
= 2/2
m = 1
The point that lies on the same line must have slope m = 1 with any given point.
suppose (5,4) and (-4,-5)
slope m = -5-4 / -4-5
= -9/-9
= 9/9
= 1.
Hence (-4,-5) is another point on the same line.
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