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3 years ago

Expand each expressions and combine like terms if possible-12(5/6x - 5) + 2x

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

The answer is

Step-by-step explanation:

$- 12( \frac{5}{6} x - 5) + 2x$

Using FOIL multiply the terms in the bracket

That's

$- 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x$

Group like terms

That's

$60 + 2x - 10x$

We have the final answer as

Hope this helps you

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I need help Nika baked three loaves of zucchini bread. Each cake needed StartFraction 17 over 4 EndFraction cups of flour. Which

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Answer:

B..

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Step-by-step explanation:

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3 years ago

Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

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The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

First part: The amount of loan Molly needs is $22,495

Second part: Molly's monthly payment will be approximately $286.2

Third part: The total interest Molly will pay using the plan is approximately $1,545.8

Fourth part: The amount the car costs Molly using the plan is approximately $26,540.8

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, r = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = $22,495

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be M ≈ $286.2

Third part:

The total interest, I = Sum of payment - Loan amount

∴ The total interest, I ≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, I ≈ $1,545.8

Fourth part:

The cost of the car, C, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ $26,540.8

The question parameters obtained from a similar question are;

Selling price of the car = $25,495

Financing = 1.9% APR for 84 months with a cash allowance of $500

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3 years ago

The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The

ikadub [295]

Answer:

$Base = 57$

Step-by-step explanation:

Given

$Length = 2x + 4$

$Base = 3x$

$Perimeter = 141$

Required

Determine the length of the base

The perimeter of an isosceles triangle is:

$Perimeter = 2*Length + Base$

$141 = 2 (2x + 4) + 3x$

$141 = 4x + 8 + 3x$

Collect Like Terms

$4x + 3x = 141 - 8$

$7x = 133$

Divide both sides by 7

$x = 19$

To get the base, we substitute 19 for x in $Base = 3x$

$Base = 3 * 19$

$Base = 57$

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3 years ago

noname [10]

Answer:

The simultaneous inequation representing the recomended storage temperature is:

$50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F$

Step-by-step explanation:

In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.

Bounds can be converted into Fahrenheit degrees from Celsius degrees:

$T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F$ (Eq. 1)