Twelve more than the product of a number and 5 is 52.Which equation models the sentence?

12−n⋅5=52 

n÷5+12=52  
12−n÷5=52  
n⋅5+12=52

Answers

Answer 1
Answer:

Final answer:

The equation 'n⋅5+12=52' correctly models the sentence 'Twelve more than the product of a number and 5 is 52'. This equation states that when a number is multiplied by 5 and 12 is added to the resulting product, the total is 52.

Explanation:

The question provides a phrase which can be expressed as an equation in mathematics. Given the phrase 'Twelve more than the product of a number and 5 is 52', we understand that 'product' refers to multiplication, 'number' is the unknown we are solving for, typically denoted by 'n', and 'twelve more than' means adding 12. Consequently, the mathematical equation that models the sentence is: n⋅5+12=52. This equation implies, the product of a number and 5, to which 12 is added, results in 52.

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Answer 2
Answer:

Final answer:

The equation that models the sentence is n⋅5+12=52 which has a value of 8.

Explanation:

The correct equation that models the given sentence is n⋅5+12=52.

To solve this equation, we need to isolate the variable n.

We can start by subtracting 12 from both sides of the equation:

n⋅5 = 52 - 12

n⋅5 = 40

Next, we divide both sides of the equation by 5 to solve for n:

n = 40 ÷ 5

n = 8

Therefore, the value of the number is 8.

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Shaila and her sister Sarah are babysitting three Kids for 5 hours. If the parents pay $2.50 per hour for each kid,how much will Shaila an sharah each make

Answers

3 times 5 times 2.5 = $37.5

3 x 5 =15

15 x 2.5 =37.5

37.5 x 2 = 75 for both of them

I don't know if this is right or not, but that's how I would solve it!

Solving a polynomial equation by factoring 36d^3-121d=0

Answers

For this case we must factor the following equation:

36d ^ 3-121d = 0

It is observed that both terms contain the variable "d", so we can take it out as a common factor:

d (36d ^ 2-121) = 0

On the other hand, we look for the factors of 36 and 121:

36: 1,2,3,4,6,9,12,18,36

121: 1, 11,121

The greatest common factor between both numbers is 1.

Thus, the expression is factored as:

d (36d ^ 2-121) = 0

Thus, one of the roots of the polynomial is 0.

36d ^ 2-121 = 0\n36d ^ 2 = 121\nd ^ 2 = \frac {121} {36}\nd = \pm \sqrt {\frac {121} {36}}\nd = \pm \frac {11} {6}\n

Answer:

d (36d ^ 2-121) = 0\nd_ {1} = 0\nd_ {2} = \frac {11} {6}\nd_ {3} = - \frac {11} {6}

Ty Is planning A triangular garden. Which of the following sets of side lengths can create a garden in the shape of a triangle? A. 2ft, 4ft, 7ft

B. 3ft, 8ft, 12ft

C. 4ft, 9ft, 15ft

D. 8ft, 11ft, 17ft

Answers

Set ' D ' is the only set of numbers that can be the
lengths of a triangle's sides.  A, B, and C can't.

Which of the following is equivalent to the expression below?4x + 3(2x -1) - 4x

Group of answer choices

14x - 3

6x + 3

14x + 3

6x - 3

Answers

Answer:

6x - 3.

Step-by-step explanation:

4x + 3(2x -1) - 4x

= 4x + 6x - 3 - 4x

= 6x - 3.

Final answer:

The correct equivalent expression for 4x + 3(2x -1) - 4x is 6x - 3. This result is achieved by distributing, combining like terms, and simplifying.

Explanation:

The subject of this question is Mathematics, with the problem concerning simplifying expressions in algebra. To handle this problem, first expand the expression 4x + 3(2x -1) - 4x.

From this initial question, follow these steps:

  1. Distribute the 3 in the parenthesis to both the 2x and -1, yielding 3 * 2x and 3 * -1, which are 6x and -3, respectively.
  2. The expression now reads 4x + 6x -3 -4x.
  3. Add the like terms(4x, 6x, and -4x) together: 4x + 6x - 4x = 6x.
  4. The final equivalent expression is 6x - 3.

The correct choice from the given list is therefore 6x - 3, which implies that the equivalent expression for 4x + 3(2x -1) - 4x is 6x - 3.

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One batch of fruit salad has equal amount of which kinds of fruit? Explain how you decided

Answers

If this is what your talking about this is your answer:

The batch of fruit salad has an equal amount of apples and cherries. This is because there are 1 1/2 c of apples and 1 2/4 c of cherries. the 1 1/2 is already simplified but the 1 2/4 is not. 1 2/4 is the same as 1 1/2, therefore apples and cherries have equal amounts.

Find the area of the shaded region in the figure below. 5in. 8in.

Answers

Hi there!

Answer:

The area of the shaded region is 28 in²


Step-by-step explanation:

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches


A = 8 × 5

A = 40 in²


Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches


A = (8 × 3) ÷ 2

A = 24 ÷ 2

A = 12 in²


Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = 40 in² - 12 in²

Area shaded region = 28 in²


There you go! I really hope this helped, if there's anything just let me know! :)