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2 years ago

20 POINTS!!!!

Mathematics

2 answers:

Taya2010 [7]2 years ago

8 0

Answer:

9(4 + x)

Step-by-step explanation:

the product of 9

9 *

the sum of a number (x) and four

x + 4

the product of 9 and the sum of a number and four

9 * (x + 4)

nevsk [136]2 years ago

3 0

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

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The volume of a box, a rectangular prism, is represented by the function f(x) = x3 + 5x²-8x-12. The length of the box is (x + 6)

OlgaM077 [116]

The expression representing the height of the box is x+1.

<h3>What is volume of cuboid?</h3>

The volume of the box is the product of length, breadth and width.

The volume of the box = l x b x h

x³ + 5x² -8x - 12 = (x + 6) . (x -2) .h

= (x²+ 4x -12) .h

h = (x³ + 5x² -8x - 12) / (x²+ 4x -12)

On dividing we get

h = x +1

Therefore, the expression representing the height of the box is x +1.

Learn more about volume of cuboid.

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3 0

2 years ago

The school gym can hold no more than 650 people. The bleachers will seat 176 people. The PTA is setting up 25 rows of chairs for

vivado [14]

19 chairs.
650-176 is 474 and 474 divided by 25 is 18.96 so round up and 19 or 18 per row

8 0

3 years ago

If a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month, wha

Rina8888 [55]

Answer:

A. $7.17

Step-by-step explanation:

We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nT}$ where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Periods of compounding,

T = Time in years.

Let us multiply our given rate by 12 to get APR and convert it in decimal form.

$APR=12\times 1.5\%$

$APR=18\%$

$18\%=\frac{18}{100}=0.18$

Since 1 year equals 12 months, so 1 month will be 1/12 year.

Upon substituting our given values in above formula we will get,

$A=477.95(1+\frac{0.18}{12})^{12\times\frac{1}{12}}$

$A=477.95(1+0.015)^{1}$

$A=477.95(1.015)$

$A=485.11925$

Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.

$\text{The monthly interest charge be at the end of the first month}=485.11925-477.95$

$\text{The monthly interest charge be at the end of the first month}=7.16925\approx 7.17$

Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.

4 0

3 years ago

The ages of Jamal, Wesley, an John are consecutive integers.the sum of thier ages is 108.what are thier ages .

hodyreva [135]

Answer:

Step-by-step explanation:

We have three people

jamal = x (since im guessing hes the youngest)

wesley= x+1

John= x+2

the formula you would use is x+x+1+x+2=108

when you simplify that you get 3X+3=108

you subtract the 3 from 108 which leaves you with 3X=105

divide that by 3 which makes x=35

jamal is 35

wesley is 36

john is 37

3 0

3 years ago

The product of a number and four is subtracted from three to give forty seven

Ivan

Answer:

the number is -11

Step-by-step explanation:

let the number be written as x

so 3-4x=47

collect like terms

-4x=47-3

-4x=44

divide both sides by -4

-4x/-4=44/-4

x=-11

8 0

3 years ago