Use the fact that 133 divided by 9 = 14 R7 to solve Problems a and b. Explain what you do with the remainder in each case. a. There will be 133 children attending summer camp. Nine children can sleep in each cabin. How many cabins will be needed?

b. Freya has $1.33. She buys as many pencils as she can for 9 cents each. How many pencils does she buy?

Answers

Answer 1

Answer: a. Carry the remainder into an extra cabin because 7 kids are not supposed to sleep in the woods

b. Leave the remainder as is considering there isn't enough money to buy another pencil.

Answer 2

Answer: a. 133 / 9 = 14 r.7
15 cabins as the remaining children need a cabin too.
b. $1.33 / 9 = 14 r.7
14 pencils and have $0.07 remaining

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What is x squared minus 14x plus 49

Answers

$x^(2) -14x+49=x^2-7x-7x+49=x(x-7)-7(x-7)=\n\n=(x-7)(x-7)=(x-7)^2$

X^2-14x+49 factored:
(x-7)(x-7)

-7 x -7 is 49 and
-7 + -7 is -14

Find the minimum value of 1 + 3(3 −x)²

Answers

$for\ every\ x\in R\ is\ (3-x)^2 \geq 0\n\n (3-x)^2 \geq 0\ \ \ \Rightarrow\ \ 3 (3-x)^2 \geq 0\ \ \ 1+ (3-x)^2 \geq 1\n \nAns.\ The\ minimum\ value\ is\ 1$

1 + 3(3 −x)² >= 1, because 3 > 0 and (3 −x)² >=0 =>
the minimum value of 1 + 3(3 −x)² is 1.

16. In the figure below, what is the area of the
shaded square in square units?

Answers

Answer:

9 sq units

Step-by-step explanation:

The square would reach about 3 units so you do 3 times 3 equal 9

What is the simplest form of 18/24?

Answers

The simplest form of 18/24 is 3/4.
18 can be divided by 6 to get 3.
24 can be divided by 6 to get 4.
The answer should be 3/4.

$(18)/(24)=(3 * 6)/(4 * 6)=\boxed{(3)/(4)}$

In a police chase on the interstate, the suspect’s car reached a speed of 88 miles per hour for a total 15 minutes. In that time, how many miles did the chase last?