A theater has 25 rows of chairs. The first row has 18 chairs, second has 22, the third has 26, and so on in total the theater seats ___ people

There will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that a newsboy has $2.65, consisting of nickels, dimes, and quarters

From the condition, the number of dimes exceeded the number of nickels by 1, and the number of quarters was equal to the number of nickels decreased by one.

Let the number of nickels, dimes, and quarters will be n, d, and q respectively.

1 × n = 5 cents

1 × d = 10 cents

1 × = 25 cent

d = n + 1

q = n – 1

As a result,

$2.65 ×100 = 265 cents.

The obtained equations are,

5n + 10d + 25q =265

d = n + 1

q = n – 1

Replace d with n + 1 and q with n - 1 in the equation

5n + 10× (n + 1) + 25 × (n - 1) = 265

5n + 10n + 10 + 25n - 25 = 265

40n -15 = 265

40n = 280

n = 280/40

n = 7 nickels

Substituting the value of n in the equation we get

d = 8 dimes

q = 6 quarters

n + d + q = 265 cents

35 cents + 80 cents + 150 cents = 265 cents

Convert the units from cents to dollars as

265 /100 = $2.65

Thus, there will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels

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Answer:

m<EFG = [tex]69^{o}[/tex], and m<GFH = [tex]111^{o}[/tex]

Step-by-step explanation:

Linear pair angles are two supplementary angles.

Thus,

m<EFG + m<GFH = [tex]180^{o}[/tex]

2n + 21 + 4n + 15 = [tex]180^{o}[/tex]

collecting like terms, we have:

6n + 36 = [tex]180^{o}[/tex]

6n = [tex]180^{o}[/tex] - 36

6n = [tex]144^{o}[/tex]

divide both both sides by 6,

n = [tex]24^{o}[/tex]

Therefore,

m<EFG = 2n + 21

            = 2 x [tex]24^{o}[/tex] + 21

            = 48 + 21

            = [tex]69^{o}[/tex]

m<GFH = 4n + 15

             = 4 x [tex]24^{o}[/tex] + 15

            = 96 + 15

            = [tex]111^{o}[/tex]

Thus m<EFG = [tex]69^{o}[/tex], and m<GFH = [tex]111^{o}[/tex]

Answer:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Answer:

b,c and D

Step-by-step explanation:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Answer:

2

Step-by-step explanation:

First, find h(-4) by plugging in -4 as x in the function:

h(x) = x + 4

h(-4) = -4 + 4

h(-4) = 0

Then, add 2 to this:

0 + 2

= 2

So, h(-4) + 2 = 2

Answer:

Question 1, it was 4500 gallons of water in the tank

Question 2, it will take 70 minutes to fill the pool with water

Step-by-step explanation:

Question 1 explanation, just multiply 150 times the minutes

A tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.

Two or more expressions with an Equal sign is called as Equation.

Given that,

A tanker truck can fill the pool at a rate of 150 gallons per minute.

It took 30 minutes to empty the tank of the truck.

Now we need to find number of gallons of water in the tank.

So to find it we have to multiply 150 with 30

4500 gallons of water were in the tank.

and the pool holds 10,500 gallons of water

Let us formulate a equation

Apply cross multiplication

150/30=10500/x

150x=315000

=2100 minutes

So 2100 minutes will it take to fill the pool with water.

Hence if a tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.

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Answer:

17/30

Step-by-step explanation:

Atul-2/3

Jose- 3/5

Maria- 3/5-1/2=1/10

Now, you need to find how much MORE Atul has than Maria

2/3-1/10=17/30

Answer:

17/30

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, you need to find the slope of the line. To do this you need to choose two points on the graph. The points you are given are (-2, 1) and (4, 6). Then use these to find the slope.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{6-1}{4-(-2)}[/tex]

[tex]m=\frac{5}{6}[/tex]

You can then plug this and one of your chosen points into the slope-intercept formula

[tex]y-y=m(x-x)[/tex]

[tex]y-1=\frac{5}{6} (x-(-2))[/tex]

[tex]y-1=\frac{5}{6} x+\frac{5}{3}[/tex]

[tex]y=\frac{5}{6}x+\frac{8}{3}[/tex]

Answer:

9 weeks

Step-by-step explanation:

edge 2020

On solving the inequality, 9 weeks of exercise are necessary to lower the individual’s resting heart rate below 70 beats per minute.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]

where, x is the number of weeks of exercise is necessary to lower the individual's resting heart rate below 70 beats per minute.

This cubic inequality can be solved by hit and trial method.

when x = 7.

[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]

[tex]=-0.1*7^{3} + 0.6*7^{2} +85[/tex] = 80.1

80.1 > 70

Thus, x = 7 is not suitable.

when x = 8.

[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]

[tex]=-0.1*8^{3} + 0.6*8^{2} +85[/tex] = 72.2

72.2 > 70

Thus, x = 8 is not suitable.

when x = 9.

[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]

[tex]=-0.1*9^{3} + 0.6*9^{2} +85[/tex] = 60.7

60.7 < 70

Thus, x = 9 is suitable.

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Answer:

12. -5 and 4

13. -2 and -1

14. -5 and 6

15. -4 and -3

16. -2 and 8

17. -3 and 8

Step-by-step explanation:

Answer:

0.2 is the correct answer.

Answer:

-8.3 + 9.2 - 4.4 + 3.7

= -8.3 + 9.2 + (-4.4) + 3.7            {Additive inverse}

= -8.3 + (-4.4) + 9.2 + 3.7            {Commutative Property}

= [ -8.3 + (-4.4] + [ 9.2 + 3.7]       {Associative property}

=  - 12.7 + 12.9

= 0.2

answer is 0.2

Answer:

The only possible solutions are 4,5,8

Step-by-step explanation:

The domain is the input and the range is the output

The range  is {4,5,8}

The only possible solutions are 4,5,8

Step-by-step explanation:

Hey there!

The answer is (4,5,8).

Range: The range are generally knwon as y-coordinates.

In questions the function is; (1,4), (2,5), (3,8), the y-coordinates are: (4,5,8).

Hope it helps..

Answer:

10.6

Step-by-step explanation:

ok so, since 10 doesn't have any decimals you can just add the 0.6 to 10 so it makes 10.6.

Answer:

2.94

Step-by-step explanation:

multiply them like normal multiplication

remember that 2 negatives equal positive

Answer:

alternate exterior angles

Step-by-step explanation:

a and h are on opposite sides of the transversal and they are outside the parallel lines.

Answer:

The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.

Step-by-step explanation:

Answer:

If you multiply the 13×(11+15) it would give you 208

Therefore <<<B: 13×16>>> is equivalent to 13×(11+15) when multiplied because it gives you 208

Answer: It should be B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

New snowboard and boots for x days rent cost

Rent snowboards and boots for x days cost

If the costs are same, then:

Answer:

The distance formula can be written correctly in several different ways.

I hope this helps.

Cheers.^^

The True statement about distance formula is

The distance formula can be written correctly in several different ways.

Given:

We know that if we have to find speed, we use

Speed = Distance/Time

and, if we have to find distance, we use

Distance = Speed X Time

and, if we have to find time , we use

Time = Distance / Speed.

Hence, The distance formula can be written correctly in several different ways.

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Answer:

the gradient is 3

y- intercept is 4

Step-by-step explanation:

when you're asked the gradient, you can find it as a coefficient of"x" in equation where the coefficient of "y" is one.

y=mx+b

m=> gradient

b=> y- intercept

We want to find the gradient and y-intercept of a given line.

The solutions are:

a) gradient = 3

b) y-intercept = 4

A general line written in slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

The slope defines how the change in the variable y relates to the changes in the variable x, so the slope is also called the rate of change or gradient.

Thus, if we want to find the gradient, we must read the coefficient that multiplies the variable x, and the constant will be the y-intercept.

In the given line:

y = 3*x + 4

Comparing this with the general line, we can see that the gradient is 3 (the slope), and the y-intercept is 4.

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Answer:

y = 1/3x +5/3

The third one : )

Answer:

b = 30 degrees.

Step-by-step explanation:

Two angles are said to be complement of each other if their sum is 90 degrees

________________________

given

one angle is b

let other angle be x

given that  angle b is one-half the measure of its complement

thus, mathematically we can the above statement as

b = 1/2(x)

now sum of both the angle will be 90 degrees as they are complementary

b + x = 90

using b =  1/2(x)

=> 1/2(x) + x = 90

=> x/2 + x = 90

=> (x +2x)/2 = 90

=> 3x = 180

=> x = 180/3 = 60

thus,

b =  1/2(x) =  1/2(60) = 30

thus, measure of angle b is 30 degrees.

Answer:

- 7

Step-by-step explanation:

Step 1:

8 ÷ 2³ - 16 ÷ 2     Equation

Step 2:

8 ÷ 8 - 16 ÷ 2       Exponents

Step 3:

1 - 16 ÷ 2     Divide

Step 4:

1 - 8    Divide

Answer:

- 7

PEMDAS:

P: Parentheses

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Hope This Helps :)

Answer:

x = -y + 7

    or

x = 7 - y

Step-by-step explanation:

x + y = 7

Step 1: Subtract y from both sides to get x alone.

x + y = 7

   -y    -y

x = 7 - y

Since x is alone and y is a variable & not a number, there's nothing else to do to the equation.

Hey there!☺

[tex]Answer:\boxed{x=-y+7}[/tex]

[tex]Explanation:[/tex]

[tex]x+y=7[/tex]

The first/last step we have is to add -y to both sides.

[tex]x+y+-y=7+-y\\x=-y+7[/tex]

[tex]x=-y+7[/tex] is your answer.

Hope this helps!☺

Answer:

the volume is 40 cm

Step-by-step explanation:

to find the volume all you need is length times width times height and you multiply it and that is your answer

Answer:

A

Step-by-step explanation:

Because math

Answer:

27.625

Step-by-step explanation:

28.600

-0.975

_______

27.625

in words... 28.6-0.975. take away 1 from the 6 and make it five, carry it over to the zero in the hundredths place. Make that 10 a 9 and carry it over to the thousandths place and do 10-5 so in the answer, the thousandths place is 5. 9-7 in the hundredths place is 2 so your answer so far is __._25. take 1 away from 8 and that is now 7 so 15-9 is 6. So your answer so far is __.625. 27-0 is 27 so your answer is 27.625.

The expression for the operation w minus 3 is w - 3.

It should be noted that an expression simply shows the relationship between the variables given.

In this case, the information given is illustrated as w minus 3.

Therefore, the expression will be:

= w - 3.

Therefore, the expression for the operation w minus 3 is w - 3.

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Answer:

0.45

Step-by-step explanation:

4/10 is 0.4

and

5/100 is 0.05