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4 years ago

Translate the sentence into an equation. Four times the difference of a number and 5 is 24.

1 answer:

3 0

$4\ times\to4\times\\difference\ of\ a\ number\ "c"\ and\ 5\to c-5\\is\ equal\ 24\to=24\\\\4\times(c-5)=24\\\\Answer:\boxed{a.}$

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The sum of two numbers is 42, and one of the numbers is 5 times the other. Find the two numbers.

PolarNik [594]

5x+x=42
6x=42
x=7
So the numbers are 7 and 35 (5*7)

8 0

3 years ago

Find the future value of 1000 at 7 % interest compounded annually for 10 years.

ser-zykov [4K]

The future value of 1000 with annual compounding for 10 years is $1967.15.

The formula for calculating with annual compounding is:

FV = P (1 + r)^n

FV = Future value
P = the amount deposited
R = interest rate
N = number of years

1000 x (1.07)^10 = $1967.15

To learn more about future value, please check: brainly.com/question/18760477

8 0

2 years ago

Read 2 more answers

The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, w

stepladder [879]

Answer:

$\frac{9}{22}$

Step-by-step explanation:

add all qestions together 10+3+9=22

and put the number of free responces on top of the total number of qestions

$\frac{9}{22\\}$

and you cant simplify it so its in its simplist form

3 0

3 years ago

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

Nady [450]

Answer:

a. 19.68 miles per gallon.

b. 26.32 miles per gallon.

Step-by-step explanation:

Mean gas mileage (μ) = 23.0 mpg

Standard deviation (σ) = 4.9 mpg

In a normal distribution, for any length X, the z-score is determined by the following expression:

$z=\frac{X-\mu}{\sigma}$

In a normal distribution, the 25th percentile (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile has a corresponding z-score of z = 0.677

a. The first quartile of the distribution of gas mileage is

$-0.677=\frac{X_{25}-23}{4.9}\\X_{25}=19.68\ mpg$

19.68 miles per gallon.

b. The third quartile of the distribution of gas mileage is

$0.677=\frac{X_{25}-23}{4.9}\\X_{25}=26.32\ mpg$

26.32 miles per gallon.

5 0

3 years ago

URGENT HELP PLEASE! Write the equation of the line fully simplified in slope-intercept form.

nekit [7.7K]

Answer:

y=-1/2x-3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers