Which expression is equivalent to 5(4x+3)-2x
How is the work shown?

The residual of a theatre performance with a revenue of $700 and 70 seats occupied is 45.

From the information illustrated, the theater director recorded the number of seats occupied at past performances and the total revenue per performance.

The equation is given as:

y = -325 + 14x

y = actual performance for 70 seats occupied

For x = 70

y = -325 + 14x

= 325 + 14(70)

= -325 + 980

= 655

Therefore, the residual will be:

= 700 - 655

= 45

The residual is 45.

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The area of tin sheet needed to make the roof is 25,136.3 square feet.

The roof of a farm silo is in the shape of a hemisphere. The roof is made of a sheet of tin. The diameter of the silo is 126.5 feet. Hence, the radius of the hemisphere is half the diameter. The radius is 126.5/2 = 63.25 feet. We need to find the amount of tin sheet required to make the roof. The amount of tin sheet is equal to the area of the roof. The formula for the curved surface area of a hemisphere is given below :

A = 2πr² = 2*3.1416*(63.25)² = 25,136.3

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Answer:

496.5714285714

Step-by-step explanation:

82+79+85+100+46+92+88

7

=496.5714285714

Answer: 1/12

Step-by-step explanation: If the candy jar is only 1/4 full, and there's 3 brothers, they would each receive 1/3 of 1/4. THis would be 1/12 of the jar.

The slope of the line is Positive

What is the Slope of a line:

The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”

The slope of the line at different positions:  

When we go from left to right on the graph if the line moves up then the slope of the line will be positive  

When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero  

The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined

From the given picture,

We can say that from left to right the given line is moving upwards

Therefore

From the above observation slope of the line is Positive

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The slope-intercept form of the equation of the line is y = 2/3(x) - 4

Given that: the unknown line passes through (0, -4) and it is perpendicular to  y= -3/2(x) + 1

The slope-intercept form of a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ × m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be  m₂

Line1(given):

y = -3/2(x) + 1   and m₁ = -3/2

m₁ × m₂ = -1

-3/2 × m₂= -1

m₂ = 2/3

Line 2(unknown) with the point ​(0, -4​):

y = mx + c     (x = 0 and y = -4)

-4 = 3/2(0) + c

c = -4

y = 2/3(x) - 4

Therefore, the slope-intercept form of the equation of the line that passes through (0, -4) and is perpendicular to y= -3/2(x) + 1 is y = 2/3(x) - 4

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The graph shows the absolute value function.

y = |x - 3| + 5

First, we can see that the shape of the graph is a "V", so we have an absolute value function.

We can see that the slope is 1 (for each horizontal square that the line moves, it also moves one vertically) , so our function will be of the form

y = |x - a| + b

Notice that the above function has a vertex at (a, b)

And the graphed one ahs a vertex at (3, 5), with that we can conclude that the graphed function is:

y = |x - 3| + 5

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The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.

Given that, a state offers specialty license plates that contain 3 letters followed by 2 numbers.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

The number of possible license plates

= 26×26×26×10×10

= 1757600

The number of possible license plates that can be issued using this system is 1757600. Therefore, option B is the correct answer.

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For the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .

As given in the question,

In the given triangle STU,

TU = 11

US = 17

ST = 18

we can see that

     TU < US < ST

⇒   11 < 17 < 18

⇒   11 + 17 = 28

⇒   28  > 18

All the sides of the triangle are not equal to each other.

This implies that all the angles opposite to the unequal sides are also not equal to other.

Therefore, for the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .

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Answer:

None

Step-by-step explanation:

When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.

The fraction of coal left in the bag was zero or none since Tom used the remaining coal.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.

As per the given,

After one week the bag was 2|3 full

Now remaining coal = 1 -2/3 = 1/3 part

Now, Tom used this remaining amount.

So, 1/3 - 1/3 = 0 part.

Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".

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Answer:

I think it's 187.5

Step-by-step explanation:

I divided 150 by 20 and got 7.5.

i multiplied 7.5 by 25 and got 187.5

Hop this is correct and helps you.

The missing terms for the congruent angles are;

Complementary angles

m∠1 + m∠3 = 90°

Transitive property of equality

Subtraction property of equality;

Congruent angles.

Congruent angles are defined as the angles that have equal measure. Therefore, all the angles that have equal measure are called congruent angles.

We are given that;

∠1 and ∠2 are complementary

∠1 and ∠3 are complementary

Now, we are told that m∠1 + m∠2 = 90°. Complementary angles are defined as the 2 angles that sum up to 90 degrees. Thus, ∠1 and ∠2 are complementary by definition.

Similarly, m∠1 + m∠3 = 90°

By the transitive property of equality, we can say that;

m∠1 + m∠2 = m∠1 + m∠3

By the subtraction property of equality;

m∠2 = m∠3

Thus;

∠2 = ∠3 by definition of congruent angles.

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Answer:

5

Step-by-step explanation:

divide.

Addition of the given is (a) [tex]9x^{3} +x^{2}-6x+5[/tex]

Equation given,

Eq 1 = [tex]7x^{3} - 2x^{2}-5x+6[/tex]

Eq 2 = [tex]2x^{3}+ 3x^{2}-x-1[/tex]

Adding Eq 1 + Eq 2,

[tex](7x^{3} - 2x^{2}-5x+6) + (2x^{3}+ 3x^{2}-x-1)[/tex]

[tex](7x^{3} + 2x^{3}) + (- 2x^{2}+ 3x^{2})+(-5x-x)+(6-1)[/tex]

[tex]9x^{3}+ x^{2}-6x+5[/tex]

Hence, the answer.

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The answer average speed is120KM/h

What is speed?

The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.

Given in the question a car travels in 40Km/h

Total distance will be 's' = speed * time.

The total round trip avg speed is 60km/h

So time is taken to reach = s/40 hr

And time is taken to return back = s/x hr

The total time is given = 2s/60

We can write 2s/60 = s/40+s/x

⇒ 1/x = 1/30-1/40

⇒1/x = 1/120

⇒x = 120 KM/hour

Hence the, the average speed in the return journey is 120KM/hour.

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If  he has 7 more nickels than dimes. The number of quarters that Warren have is 7.

Let coins be:

n + d + q = 40

Where;

n = nickels

d =dimes

q = quarters

Hence,

.05n + .10d + .25q = 4.05

n = d + 7

Substitute (d+7) for n

(d+7) + d + q = 40

2d + q = 40 - 7

2d + q = 33

q = (33-2d)

So,

.05(d+7) + .10d + .25q = 4.05

.05d + .35 + .10d + .25q = 4.05

15d + .25q = 4.05 - .35

.15d + .25d = 3.70

Substitute (33-2d) for q

.15d + .25(33-2d) = 3.70

.15d + 8.25 - .5d = 3.70

.15d -.5d = 3.70 - 8.25

-.35d = -4.55

Divide both side by -/35d

d = -4.55 / -.35

d = 13 dimes

Nickels

n = d+7 where d is 13

n = 13 + 7

n = 20 nickels

Quarters

q = (33-2d)

q = 33 - 2(13)

q = 33 - 26

q = 7 quarters

Therefore 7 is the quarters.

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The absolute value equation graphed is defined by the rule given as follows:

y = |x - 3| + 6.

The function graphed is an absolute value equation, due to it's v format.

The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:

y = |x - h| + k.

On the graph, this vertex is the turning point of the absolute value function.

For the graphed function, the coordinates of the vertex are given as follows:

Then the coordinates of the vertex are:

(3,6).

The equation of the graphed absolute value function is:

y = |x - 3| + 6.

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The simple reason why streets are usually designed parallel or perpendicular to each other is because that pattern makes it easy for users to connect people easily.

A perpendicular street can simply be defined as a street which intersect another streets. However, on the other end, two streets are said to be parallel to each other when they are in the same distance apart. The same is applicable in mathematics as a perpendicular line intercept another line and parallel lines don't meet.

That being said, when streets are parallel or perpendicularly designed, residents of the environment find it easy to communicate with each other. Business owners use this easy accessibility to easily describe their addresses to customers.

So therefore, it can be deduced from the given explanation above that when streets are designed with good planning, it makes people access it easily.

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Answer:

KentuckyCriedChickens

Answer:

The coefficient is 9 in 9b.

Step-by-step explanation:

A coefficient is a number before a variable.

Examples: 9 in 9b, 5 in 5y, 3 in 3x.

Practically anything before a variable is declared                                                          a coefficient.

Pls vote brainliest if this was helpful!

It helps a lot :)

Answer: D) 7

Step-by-step explanation:

First put this into an equation as shown

f(x)=10x

The 10 is for the money he makes and the x is the amount of weeks

then take the 35 dollars he already saved and put it into an equation as shown

35+f(7)

the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)

7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.

Hope that helped. It may have been a bit complicated.

Answer:5

Step-by-step explanation:

10x7=70

35+70=105

Answer:-3

Step-by-step explanation:

The greatest number of costumes the dance group can make is 15.

The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The first step is to determine the number of costumes that can be made given the total yards of black material.

Total costumes that can be made = total length available / length required for each costume

30 / 2= 15

The second step is to determine the number of costumes that can be made given the total yards of red material.

Total costumes that can be made = total length available / length required for each costume

60 / 3 = 20

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Answer: It is b

Step-by-step explanation:

Answer: 126.5

Step-by-step explanation:

This is Pythagoras theorem so a² + b² = c²

c² is always the diagonal bit

The soccer field is rectangle and draw the route of the players on and you get the triangle

a = 120

b = 40

c² = a² + b² (square root after)

120² + 40² = 16000

Then square root that to get 126.5

I hoped this helped so please thank and rate :)

The proportion of the 30 sampled bottles are more than 12 ounces is 0.30. The value is most affected by the error will be mean.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint.

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The probability is 0.061 to record his or her age for her favorite music genre is pop.

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event or statement is to occur. An event's probability is a number between 0 and 1, where 0 indicates impossibility and 1 represents certainty. The more likely an occurrence is, the more likely it will occur. A simple example is tossing a fair (unbiased) coin. Because the coin is fair, all outcomes are equally likely; the probability of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of "heads" or "tails" is 1/2.

Given,

Age       Users     Pop-music

13-24     47%        85%

25-34     25%        59%

35-more  28%       23%

Let the total population be 100 then

Age    Users    Pop-music

13-24    47%        85% of 47=39.95

25-34    25%       59% of 25=14.75

35-more  28%      23% of 28=6.44

Persons having favorite music game as pop=34.95+14.75+6.44

=61.14

Probability=61.14/100c₁

=0.061

Therefore, the probability is 0.061.

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The length of the missing ,line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

In the question ,

a figure is given , we have to find the length of the missing line segments .

From the given figure

the Δ ACD is a right triangle ,

given that ∠A and ∠D are equal

so ,  their corresponding length AC and CD will be equal , that is AC = CD

So , By Pythagoras Theorem

AC² + CD² = AD²

2*AC² = AD²

2*AC² = (20)²

2*AC² = 400

AC² = 400/2 = 200

AC = √200

AC = CD = 10√2

The triangle ABC is also right triangle

and ∠A and ∠C are equal

so , their corresponding length AB and BC will be equal , that is AB = BC

So , By Pythagoras Theorem

AB + BC = AC

2*AB² = AC²

2*AB² = (10√2)²

2*AB² = 200

AB² = 200/2 = 100

AB = √100

AB = 10 = BC

Therefore , The length of the missing line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

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