A club rent a bus for a trip the cost c in dollars that each person pays to cover the cost of the bus varies inversely with the number of people p who go on the trip it will cost $30 per person if 50 people go on the trip how much will it cost per person and 40 people go on the trip.

Answer:

x = 5

How?:

15 - 3(5) = 0

15 - (3 × 5) = 0

15 - 15 = 0

Answer:

4 goals short

Step-by-step explanation:

To find how many shots Talia made - multiply the total number of shots (35) by 60% (or 0.60)

    35*.60 = 21 shots made

Subtract her goal (25) by the shots actually made (21)

    25-21 = 4 shots from her goal

Answer:

2W=9

Step-by-step explanation:

You must first get the Length, which is 15, and multiply it by 2 and you get 30. You then subtract 30 from 48 and get 18. Since the equation has 2W, you have to divide 18 by 2, which gets you the answer 9.

Answer:

width = 9 feet

Step-by-step explanation:

Here we are given that total length of the wood for the garden is 48 feet only.

The length in represented in the equation given below. In geometry we call it Perimeter.

2l+2w=48

Where l is the length of the garden and the w is width of the garden.

Here also given that , if Manny wants the length to be 15 feet, what will be width of the garden.

In order to find this we put the value of l as 15  in 2l+2w=48 and solve for w

Let us see how

2l+2w=48

2(15)+2w=48

30+2w=48

subtracting 30 from both sides

30+2w-30=48-30

2w=18

Dividing both sides by 2 we get

w=9

Hence the width will be 9 feet

Answer:

60 cm, 60 cm, 32 cm, 32 cm

Step-by-step explanation:

Multiply each length by the scale factor.

15 cm * 4 = 60 cm

8 cm * 4 = 32 cm

The dilated sides AB and CD will have a length of 60 cm.

The dilated sides AC and BD will have a length of 32 cm.

Answer:

Step-by-step explanation:

[tex]14m-13m=17\\\\(14-13)m=17\\\\1m=17\to\boxed{m=17}[/tex]

[tex]\bold{Hey\ there!}\\ \bold{Simplify\ both\sides\ of\ your \ equation} \\ \bold{Like\downarrow} \\ \bold{14m-13m=17} \\ \bullet{\bold{14m+(-13m)=17}} \\ \\ \\ \bold{Combine\ your\ terms}\\ \bold{Like\downarrow}\\ \bold{14m \ \& -13m} \\ \\ \bold{14m+(-13m)=1} \\ \bold{1=17} \\ \\ \bold{1\times17=17}[/tex]

[tex]\boxed{\boxed{\bold{Answer:m=17}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

34 inches

Step-by-step explanation:

Area is base times height time half

Then plug in the values: 136= 0.5 x 8x

Then solve for x

Answer:

4

Step-by-step explanation:

If it look like tihs for your shape it will be 4

Answer:

C

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

It is impossible to get blue cards. Then the correct option is C.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

There are 4 red cards and 8 black cards in a bag.

In the bag, the number of blue cards will be zero.  

Thus, it is impossible to get blue cards. Then the correct option is C.

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

64 oz. were consumed and 16 oz. were left.

Step-by-step explanation:

8*10 = 80 oz. of juice total.

10-2=8 boxes consumed

8*8(number of oz. per box)=64 oz. consumed

2*8=16 oz. left

64+16=80 checks out.

Answer:

The second option.

Step-by-step explanation:

The reasoning behind this is because it is a mixed fraction and the rest aren't.

Hope that helps!

The cost of each song is $1.25.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Amelia used a $50 gift card to buy digital music online after playing for 16 songs her balance on the gift card was $30.

So, the cost of 16 song is 50-30=$20

Now, the cost of each song = 20/16

= 5/4

= $1.25

Therefore, the price of each song is $1.25.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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ANSWER

2160 cubes

EXPLANATION

The given rectangular prism has edge lengths,

9 inches,9inches and 3⅓ inches.

The volume of this rectangular prism is

[tex]V = 9 \times 9 \times \frac{10}{3} [/tex]

[tex]V = 3 \times 9 \times 10 = 270 {in}^{3} [/tex]

A cube with unit edges of length

[tex] \frac{1}{8} [/tex]

has volume.

[tex]v = {( \frac{1}{8}) }^{3} = \frac{1}{8} [/tex]

The number of unit cubes that can go into the prism is

[tex] = \frac{270}{ \frac{1}{8} } = 2160[/tex]

[tex] {x}^{3} + 7 {x}^{2} + 10x \\ = x( {x}^{2} + 7x + 10) \\ = x( {x}^{2} + 5x + 2x + 10) \\ = x(x + 5)(x + 2)[/tex]

your answer is x(x+2)(x+5)

x3+7x2+10x

x3+7x2+10x

=x(x+2)(x+5)

answer A , that could not be point

Answer:

Options a and c

Step-by-step explanation:

A unit circle is one which has origin as centre and radius as 1.

The equation of the unit circle would be

[tex]x^2+y^2 =1[/tex]

Thus we find that any point satisfying the above equation lies on the unit circle

Let us try the given points one by one

a) [tex](0.8)^2+(-0,6)^2 =1[/tex]. Hence lies on the circle

b) (1,1)

Cannot lie on circle since [tex]1^2+1^2 \neq 1[/tex]

c) [tex](\frac{-2}{3} ,\frac{\sqrt{5} }{3} )\\(\frac{-2}{3})^2+(\frac{\sqrt{5} }{3} )^2 =1[/tex]. Hence lies on the circle

d) [tex](\frac{\sqrt{3} }{2} ,\frac{1}{3} )\\(\frac{\sqrt{3} }{2})^2+(\frac{1}{3} )^2\\\neq 1[/tex]

Hence does not lie on the circle

Only option A,C are right

Answer:41/8 - 1/3= 115/24

Step-by-step explanation:

Answer:

it is the subtraction property of equality

The average distance from the sun to Mars can be found by setting up an equation based on the given information. Subtracting 550 from the average distance to Jupiter gives the average distance to Mars, which is 228 million km.

We know that the average distance from the sun to Jupiter is 778 million km, which is 550 million km more than the distance from the sun to Mars. We could express it in the form of an equation and solve to find the average distance that Mars is from the sun. Let's denote that Mars is 'x' million km from the sun. Then we can write it as:

x + 550 = 778

To find x, we need to subtract 550 from both sides of the equation, which gives us:

x = 778 - 550

And so, the distance from the sun to Mars is x = 228 million km.

https://brainly.com/question/29050831

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Answer:

s > 5

Step-by-step explanation:

s is the number of cookies Sue has.

Since she has more than 5 cookies, the number of cookies she has is greater than 5.

Hello there! An inequality modeling this could be x > 5.

When setting up this equation, we can use x to model the number of cookies that Sue has.

Remember that these are the symbols we use to represent inequalities:

< - greater than

> - less than

≤ - greater than or equal to

≥ - less than or equal to

Since the number of cookies Sue has is greater than 5 (but not equal to), we use the symbol.

We can represent her having x amount of cookies, which is more than 5, like this: x > 5,

I hope this helps and have a great day! :)

Answer:

The amount he will have at the end of 3 years is $3742.73

Step-by-step explanation:

* The formula for annual compound interest is:

A = P (1 + r/n)^(nt)

Where:

A = Total money after t years

P = the investment amount (the initial deposited amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years the money is invested

∵ P = $2860 ⇒ deposited

∵ r = 9% = 9/100 = 0.09 ⇒ annual rate

∵ n = 12 ⇒ compounded monthly

∵ t = 3 years

∴ A = 2860(1 + 0.09/12)^(12 × 3)

∴ A = 2860(1.0075)^36 = $3742.73

* The amount he will have at the end of 3 years is $3742.73

Answer:

The amount he will have at the end of 3 years = $3742

Step-by-step explanation:

Formula for compound interest

A = P[1 + R/n]^nt

A - Amount

P - Principle amount

R - rate of interest

n - Number of times in which the amount compounded

t - Number of years

To find the amount

Here,

P = $2,860, R = 9% = 0.09

n = 12 and t = 3 years

A = P[1 + R/n]^nt

 =2860[1 + 0.09/12]^(12*3)

 = 2860[1 + 0.0075]^36 = 3742.7257 ≈ $3742

Answer:

A rectangle.

Step-by-step explanation:

To graph the points find their pairs on a graph and leave a mark in so area. Eventually, it'll reveal the shape.

Hope this helps,

Davinia.

Answer:

a. how old are the people living in ______(where you are)?

b. What is the people living in _____ (where you are) favorite color?

c.  What is the age of the principals in the schools that are in ____ county?

3. How far do the students at _____ school live from school?

4. Do the students at ___ school enjoy to write with pencils, pens, markers, or crayons the most?

5. What is the age of the math teachers in the schools that are in ____ county?

Step-by-step explanation:

Answer:

162.5

Step-by-step explanation:

subtract 35 away from 180 then divide it by 2 = 162.5

Check the picture below.

recall that a flat-line has 180°.

Answer:

b² - 7b - 18

Step-by-step explanation:

To multiply the factors.

Each term in the second factor is multiplied by each term in the first factor, that is

b(b - 9) + 2(b - 9) ← distribute both parenthesis

= b² - 9b + 2b - 18 ← collect like terms

= b² - 7b - 18

Answer:

2160 cm³

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula

V = lbh ( l is length, b is breadth, h is height )

here l = 18, b = 10 and h = 12, hence

V = 18 × 10 × 12 = 2160 cm³

Volume = l × b × h

= 18 × 10 × 12

= 2160cm³

Answer:

The answer is

g(x) = (x-3)^3

Step-by-step explanation:

We can easily solve this problem by plotting each equation with a graphing tool or calculator.

Please see attached graph

The correct answer is

g(x) = (x-3)^3

Answer:

The error is:

He multiplied the dividend by 100 instead of 10

Step-by-step explanation:

∵ 1.926 ÷ 0.9 ⇒ means

  1.926 = 1926/1000 ⇒ dividend

  0.9 = 9/10 ⇒ divisor

* [tex]\frac{1926}{1000}[/tex] ÷ [tex]\frac{9}{10}[/tex]

 [tex]\frac{1926}{1000}[/tex] × [tex]\frac{10}{9}[/tex]

 [tex]\frac{1926}{100}[/tex] × [tex]\frac{1}{9}[/tex]

∵ 1926/100 = 19.26 ⇒ dividend

∴ 19.26 ÷ 9 = 1926/100 ÷ 9

  19 ÷ 9 = 2 with remainder 1/9

  12 ÷ 9 = 1 with remainder 3/9

  36 ÷ 9 = 4 no remainder

∴ The quotient is 214/100 = 2.14

Answer:He multiplied the dividend by 100 instead of 10

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

The given expression is:

[tex]\frac{\frac{a-3}{7} }{\frac{3-a}{21} }[/tex]

We can rewrite this as:

[tex]\frac{a-3}{7}\div \frac{3-a}{21}[/tex]

[tex]\frac{a-3}{7}\times \frac{21}{3-a}[/tex]

Factor -1 out of the first numerator:

[tex]\frac{-(3-a)}{7}\times \frac{21}{3-a}[/tex]

Cancel out the common factors;

[tex]\frac{-1}{1}\times \frac{3}{1}=-3[/tex]

Answer:

-3

Step-by-step explanation:

that's just the way it be.

Answer: 480 patients

Step-by-step explanation:

If each nurse can treat for patients and there are 120 nurses, you need to multiply 120 nurses x 4 patients each.

120 x 4 = 480

120 nurses can treat 480 patients.

Answer:

Please, refer to the images below

Step-by-step explanation:

We need to solve for x in the equation

cos (x+ pi) ^2 = sin (x)

cos (x+ pi) = - cos(x)

(-cos (x)) * (-cos (x)) = sin(x)

cos(x) ^2 = sin(x)

We know that

cos(x) ^2  + sin(x) ^2  = 1

cos(x) ^2 = 1 - sin(x) ^2

1 - sin(x) ^2 = sin(x)

sin(x) ^2 + sin (x) -1 = 0

Let A = sin(x)

A^2 + A - 1 = 0

(solutions attached in picture 1)

This means that

x = arcsin(A)

(solutions attached in picture 2)

Answer:

[tex]\large\boxed{\dfrac{f(3)}{g(2)}=\dfrac{7}{8}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+1,\ g(x)=3x+2[/tex]

[tex]f(3)\to\text{put x = 3 to the equation of}\ f(x):\\\\f(3)=2(3)+1=6+1=7[/tex]

[tex]g(2)\to\trext{put x = 2 to the equation of}\ g(x):\\\\g(2)=3(2)+2=6+2=8[/tex]

[tex]\dfrac{f(3)}{g(2)}=\dfrac{7}{8}[/tex]