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3 years ago

12

The camper to instructor ratio at a summer camp is 9 campers to 1 instructor. If the camp employs 13 instructors, what is the ma

ximum number of campers the camp can have at a time?

2 answers:

KatRina [158]3 years ago

6 0

117 I hope that helps you

Amanda [17]3 years ago

3 0

The maximum number is 117. Hope this helped!

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(2a+b)^2÷(3b-1) when a= -2 and b=5

WINSTONCH [101]

Evaluate (2 a + b)^2/(3 b - 1) where a = -2 and b = 5:
(2 a + b)^2/(3 b - 1) = (5 - 2×2)^2/(3×5 - 1)

3×5 = 15:
(5 - 2×2)^2/(15 - 1)

| 1 | 5
- | | 1
| 1 | 4:
(5 - 2×2)^2/14

2 (-2) = -4:
(-4 + 5)^2/14

5 - 4 = 1:
1^2/14

1^2 = 1:

Answer: 1/14

6 0

3 years ago

A cone is cut into a cube as shown below. If the cone has a diameter of

Butoxors [25]

Answer:

184.43in².

Step-by-step explanation:

Total surface area of the solid = volume of the cube - the volume of the cone

For the CUBE;

Volume of the cube = L³ where L is the length of one side of the cube.

Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.

Volume of the cube = 6³ = 216in³

For the CONE;

Volume of the cone = 1/3 πr²h

r is the radius of the cone = diameter/2

r = 6/2 = 3in

slant height l = 4.5in

the height h of the cone will be derived using the Pythagoras theorem.

l² = h²+r²

4.5² = h²+3²

h² = 4.5²-3²

h² = 11.25

h=√11.25

h = 3.35in

Volume of the cone = 1/3 × π × 3²× 3.35

= 31.57in³

Total surface area of the solid = 216in³-31.57in³

= 184.43in²

3 0

3 years ago

Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping.

djyliett [7]

Answer: She should sell each T-Shirt for at least $4.41

Step-by-step explanation:

First you need to figure out what the total cost of the 200 t shirts was plus shipping. so 200 t shirts for 2.8 would cost $560 + a 5% shipping fee ($28) = 588 if she wants to markup by 150. you would then multiply 588 * 1.5 = $882. This would be the final money she wants to make by the end of her school carnival. Divide 882/200 (amnt of t-shirts) to get $4.41 per shirt

4 0

3 years ago

Question 33(Multiple Choice Worth 1 points)

Rudiy27

Question 33

Answer:

f(x) = 40(1.1699)x

Step-by-step explanation:

Using the properties of exponents the term (1.04)^4x can be re-written as;

$(1.04^{4})^{x}$

The term in the brackets is equivalent to;

1.1699

Thus the function is equivalent to;

$f(x)=40(1.1699)^{x}$

Question 34

Answer:

x < the quantity negative 2 times b plus 8 all over negative 3; Choice A

Step-by-step explanation:

The first step is to subtract 2b from both sides of the inequality;

-3x > -2b+8

The final step is to divide by -3 to solve for x;

$x$

Question 35

Answer:

Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons; Choice C

Step-by-step explanation:

Time variable in any analysis is considered an independent or predictor variable since time is not influenced by the other variables under study.

In this case, the volume of water is the response or the dependent variable.

Question 36

Answer:

Commutative Property of Addition; Choice B

Step-by-step explanation:

The Commutative Property of Addition simply states that;

$a+b=b+a$

Question 37

Answer:

F = 9 over 5C + 32; Choice A

Step-by-step explanation:

To solve for F in the expression;

$C=\frac{5}{9}(F-32)$

We first multiply both sides by 9/5;

$\frac{9}{5}C=F-32$

The final step is to add 32 to both sides of the equation;

$F=\frac{9}{5}C+32$

5 0

3 years ago

A starfish's top speed is approximately 161 centimeters per minute. What is this speed to the nearest centimeter per second? plz

Papessa [141]

2.7 cm per second. Because it’s 161 divided by 60

6 0

4 years ago

Read 2 more answers