Juanita wrote 3 x 47 as 3 x 40 + 3 x 7. Which property did she use to rewrite the expression?

Answers

Answer 1

Answer: distribute proporty
a(b+c)=ab+ac
3=a
b=40
c=7
3(40+7)=3*40+3*7

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Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is

a. 15
b. 5
c. 1
d. 1/15

Answers

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Distance traveled by Jesse's car = d

Number of gallons used = g

The relation between distance and number of gallons used is given by

$d=15g$

We need to find the constant of proportionality in terms of distance traveled per gallon of gas.

So, Constant of proportionality = $(Distance\ traveled)/(Gallon\ of\ gas)=(d)/(g)$

Since we have

$d=15g\n\n(d)/(g)=(1)/(15)=Constant\ of\ proportionality$

Hence, Option 'd' is correct.

Answer:

Step-by-step explanation:

I took the test and got it right.

Factor completely: 2x^3 – 32xA. 2(x + 4)(x – 4)
B. 2x(x + 4)(x – 4)
C. x(x – 4)(x – 4)
D. 2x(x – 16)

My progress so far:
2x^3 – 32x
x^3 - 16

Answers

$2x^3-32x= \n2x(x^2-16)= \n2x(x^2-4^2)= \n\boxed{2x(x+4)(x-4)} \Leftarrow\hbox{answer B}$

me John Doe was figuring out his federal income tax. his income was $26,800 but he was able to subtract $5,000 in deductions. he paid 15% of the remaining income in tax. how much did he pay?

Answers

1- Subtract: 26,800-5,000= 21,800 (remaining)
2-15% of 21,800 = 15/100 * 21,800 = 15*218 = $3,270

(30 POINTS + BRAINLIEST)A 102-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece!

Answers

The pipe is 17 inches long

Answer:

shorter = 17 longer = 85

Step-by-step explanation:

x = longer y = shorter

102 = x + y (whole pipe length, 102, = sum of the 2 pieces, x + y )

x = 5y (longer piece = 5 times length of shorter piece)

102 = 5y + y (substitute for x)

102 = 6y (solve for y)

y = 17

102 = x + 17 (sub what you got for y back into original equation + solve)

x = 85

A cruise ship has a large circular window. It has a diameter of 6 metersWhat is the windows area?

a. 29.55 m^2
b. 30.36 m^2
c. 31.25 m^2
D. 28.26 m^2

Answers

Answer:

the answer is D

Step-by-step explanation:

In two hours, Santa's elves packed 240 toys into a bag. At this rate, how many toys were packed per minute (what is the unit rate?)

Answers

240/2hrs or 120 mins.
the unit rate is 2toys/1 min

240 toys ÷ 2 hours = 120 toys

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