At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?

Answers

Answer 1

Answer:

15

Step-by-step explanation:

3 counselors for every 20 girls

Answer 2

Answer:

15 counselors

Step-by-step explanation:

The ratio of counselors to girls is 6:40. Set this as a proportion:

[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]

Cross multiply to solve: 6×100=40x

600=40x

x=15

To satisfy the ratio, there needs to be 15 counselors for 100 girls.


Related Questions

The sum of two numbers is 544. One of the numbers is 300. What is the other number?

Answers

Answer:

244

Step-by-step explanation:

[tex]544 - 300 = \\ 244[/tex]

9. Identify the marked measurement


Answers

Answer:

9.   3.4

10.  4.4

Step-by-step explanation:

Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?

Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000


$200.00
$260.00
$2,000.00
$2,600.00

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

 D.) $2,600.00

Step-by-step explanation:

You bought 6 flowers for your valentine and spent 44$. You bought a combination of carnations for 2$ each or roses for 10$ each. How many of each type of flower did you buy.

Answers

Answer:

4 roses & 2 carnations

Step-by-step explanation:

What is the polar form of Negative 2 StartRoot 3 EndRoot minus 6 i?

Answers

Answer:

4√3 [cos (2π/3) + isin(2π/3)]

Step-by-step explanation:

We are to write out the polar form of:

-2√3 - 6i

In Mathematics:

The polar form of a given complex number a + bi is given as r[cos(θ)+isin(θ)],

where r =√a²+b²and

θ = arc tan (b/a) when a is > 0

or arc tan (b/a) + π or arc tan (b/a) + 180 when a is < 0

From the above question:

-2√3 - 6i

We have that

a = −2√3 and b = −6

Hence:

r =√a²+b²

r = √(-2√3)² + (-6)²

r = √(4 × 3) + 36

r = √12 + 36

r = √48

r = √16 × 3

r = 4√3

a is < 0

Hence,

θ = arc tan (b/a) + π

θ = arc tan (-6/-2√3) + π

θ = 2π/3

Substituting 4√3 for r and 2π/3 for θ in:

r[cos(θ)+isin(θ)]

-2√3 - 6i = 4√3 [cos (2π/3) + isin(2π/3)]

Answer:

its d

Step-by-step explanation:

i just did the test

The temperature is dropping at a rate of five degrees per hour.

Let d represent the number of degrees the temperature drops.
Let t represent the number of hours that pass.

Which is the independent variable?
A. the number of hours
B. the number of degrees the temperature drops
C. the rate at which the temperature drops
D. the day of the week

Answers

Answer: A

Step-by-step explanation: Because in a equation there will be an independant variable and the number of hours would be the independent which is t.

Answer the number of degrees the temperature drops

Step-by-step explanation:

Which number replaces the question mark?

Answers

Answer:

13

Step-by-step explanation:

9+6-3+7-2=17

10+4-2+5-6=11

7+-4+9-5=13

I NEED THE CORRECT ANSWER PLEASE 77 POINTS NO WEBSITES
Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?

Answers

Answer: 102.144

Step-by-step explanation:

128 times 0.25 = 32

128 - 32 = 96

96 times 1.064 = 102.144

So, she will pay 102.144

HELP !!
In order to graph y= 2/3x + 4, start at (2,3,or 4?) on the y-axis then move (2,3,or 4?) units up and (2,3,or 4) units right.

Answers

start at 4 on the y axis

move 2 units up and 3 units right

Is this table linear?

Answers

Answer:

Yes I guess .............

What is the equation of the line in slope-intercept form that passes through (-5, 3) and (2, -4)?
.
Write an equation in slope-intercept form.

Answers

Answer:

m= y2- y1 / x2 - x1= Slope

Can someone please help
Smamsnsnjaka

Answers

Answer:

2.25 is thhe slope

Step-by-step explanation:

The slope is 2.25 since it changes it the increase of the X, which will later create a slope, in this case an increasing slope.

1+2=? may be 3
plz help me

Answers

Answer:

I'm pretty sure it is 3

Step-by-step explanation:

Not too sure though

What are the key features of function f? f(x)=log x

Answers

Answer:

(1,0)-------Increases------X=0-----Decreases to negative infinity

Step-by-step explanation:

Value of function f(x) = logx at axis (1,0) is zero.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graph of the logarithmic function y=logx is shown.

The domain of function f(x) = logx is the set of all positive real numbers.

1. f(x)=logx domain of the logirthimic function is (0, ∞).

2. The range is the set of all real numbers.

3. The function is continuous and one-to-one.

4. The y-axis is the asymptote of the graph.

5. The graph intersects the x-axis at (1,0). That is, the x-intercept is 1.

Value of function f(x) = logx at axis (1,0)

f(x) = 0

Thus, value of function f(x) = logx at axis (1,0) is zero.

Learn more about graph

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Which of the following is an irrational number: 0.333, 7, 5/22, square root of 8

Answers

Answer:

The square root of 8 is an irrational number

Step-by-step explanation:

[tex]\sqrt{8}[/tex] is irrational because it continues on and does not end. It cannot be turned into a fraction nor does it have a pattern that continues to repeat.

Someone please help me , I really need help

Answers

Answer:

b

Step-by-step explanation:

The density of gold is 19.3 g/cm3. A weight of 1 ounce is equivalent to a mass of about 28.35 g. Which of these is closest to the side length of a cube-shaped block of gold that has a weight of 8 ounces?

Answers

Answer: 10000099

Step-by-step explanation: bc i need points

Write a quadratic function whose graph has the given characteristics.

x-intercepts: (4, –1)
point: (1, –2)

Answers

Answer:

here you go

Step-by-step explanation:

Geometry (congruent triangles ) help please idk what to do

Answers

Answer:

H

PLEASE MARK BRAINLIEST

The following triangle shows the length of each side using expressions.

2n +7
2n +7
3n
a. Write an expression in simplest form to represent the perimeter of the triangle above. Show all work.

b. If n = 8, find the perimeter of the triangle. Show all work.

Answers

Answer:

A). 2(2n+7)+3n

B). 2(2(8)+7)+3(8)
2(16+7)+ 24
2(23)+24
46+24
70

1. The approximate diameter of five planets are listed in the

chart below.

Mars, Neptune, Earth, Saturn

Planet

Diameter

in kilometers!

Earth

11,800

1.2 x 104

Saturn

Mars, Saturn, Neptune, Earth

5.0 x 10°

Neptune

Mars

4,800

Mars, Earth, Neptune, Saturn

Mars, Earth, Saturn, Neptune

Which list shows the planets in order from the least diameter.

to the greatest diameter.

CLEAR ALL

Answers

Answer:

Mars, Earth, Neptune, Saturn

Step-by-step explanation:

Planets                   Mars,       Neptune,        Earth,      Saturn

Diameter (km)        6770         49244             12742     116460

The least diameter is of mars, then is of the earth, then Neptune and the greatest in the list is of Saturn.

The list of least to greatest would be

Mars, Earth, Neptune, Saturn

The mars is farther to the sun as compared to the earth. As the planet moves away from the Sun it's orbit becomes bigger and bigger. Neptune is the eigth planet and saturn is the sixth planet.

Raj and his friends went to the movies today and ate 875 pieces of popcorn, or 125% more than they ate when they went to the movies last week.

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 125 Over 100 EndFraction = StartFraction 875 Over question mark EndFraction.

Which steps can be used to find how much popcorn Raj and his friends ate at the movies last week?

Check all that apply.
125 + 750 = 875
125 × 7 = 875
100 × 7 = 700 pieces of popcorn
100 + 750 = 850 pieces of popcorn
125 + 875 = 1000 pieces of popcorn

Answers

Answer:

It's B and C

Step-by-step explanation:

Answer:

it is b and c

Step-by-step explanation:

1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997

Answers

Answer:

June 7th, 1979

Step-by-step explanation:

1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.

June 7, 1979, is the earliest date. Option A is correct.

How to represent the date?

The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.

Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.

The earliest date is June 7, 1979.

Hence option A is correct.

To learn more about the dates refer;

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Can somebody help me with this please?

Answers

its an eqilateral triangle. they are always “positioned” at 180 degrees.

Jackson's rectangular bedroom has an area of 80 square feet. The area of his bedroom is 10 times that of his rectangular closet. If the closet is 2 feet wide, what is its length? BE SURE TO ADD A LABEL TO YOUR ANSWER.

Answers

Answer:

Length of the rectangular closet = 4 feet

Step-by-step explanation:

Area of his bedroom = 80 square feet.

The area of his bedroom = 10 times that of his rectangular closet.

Let x = area of his rectangular closet.

80 = 10 * x

80 = 10x

x = 80/10

= 8

x = 8 square feet

If the closet is 2 feet wide, what is its length?

Area of the rectangular closet = length × width

Let y = Length of the rectangular closet

8 Square feet = y feet × 2 feet

8 = 2y

y = 8/2

= 4

y = 4 feet

Length of the rectangular closet = 4 feet

Given the definitions of f(x) and g(x) below, find the value of (f(g(-3)).

f(x) = -4x + 7
g(x) = 2x^2 + 5x – 8

PLEASE HELP

Answers

Answer: the answer is A my friend ✨

Step-by-step explanation: I got it right, hope it helps

I need help! MATH (10 Points+Brainliest if correct)


Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?

Answers

the one you have selected is correct ! the first option: the multiplication that takes place..

Answer:

it's the top one

Step-by-step explanation:

the multiplication that takes place while distributing comes before addition and subtraction in the order of operations

help asap! ill give the best to person who explains it clearly

Answers

Answer:

The answer is D.

Step-by-step explanation:

First, you have to find the area of circle using the formula :

A = π × r²

A = π × 3²

A = 9π

Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :

A = (θ/360) × π × r²

A = (60/360) × π × 3²

A = 1.5π

Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :

A = (9π × 2) - (1.5π × 2)

A = 18π - 3π

A = 15π

Kaya had a string 6 1/8 inches long. She cut off a piece 2 3/4 inches long. How long is the remaining piece of string? Show your work. Write your answer as a mixed number.

Answers

Answer: 3 3/8

Step-by-step explanation:

We know that for example 2/4=4/8 so it is multiplied by 2. In this problem the fractions are 2 2/4 and 6 1/8. We are subtracting so you would first multiply the fraction that’s going to subtracted from the other fraction 2 3/4= 2 6/8. Now that we have our fractions we can subtract 6 1/8-2 6/8 this would leave us with 3.375 which is equal to 3 3/8.

Answer:

3 3/8

Step-by-step explanation

If you take away 2 3/4 from 6 1/8 it would equal 3 3/8 how you get that answer I'm not really sure but I used google 0_0 but there you go I hope it helped-

Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?

Answers

Answer:

time in years = 2.5 years

Step-by-step explanation:

time = interest / (principal amount x rate)

time = 750 / 5000 x 0.06

time = 750 / 300

time = 2.5 years

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