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finlep [7]
1 year ago
12

If x = 12, which equation is true?A-27 + 2x = 51B5(x + 7) = 45C 3(25) - x = 39D 3(25 - x) = 39

Mathematics
1 answer:
Assoli18 [71]1 year ago
5 0

To determine which equation is true, let's replace "x" with "12" in each equation and solve.

Let's start with Option A.

\begin{gathered} -27+2(12)=51 \\ -27+24=51 \\ -3\ne51 \end{gathered}

For Option A, at x = 12, the value is not equal to 51 hence, Equation A is not true.

For Option B:

\begin{gathered} 5(x+7)=45 \\ 5(12+7)=45 \\ 5(19)=45 \\ 95\ne45 \\  \end{gathered}

As we can see, Option B is not also true.

Let's check Option C.

\begin{gathered} 3(25)-x=39 \\ 3(25)-12=39 \\ 75-12=39 \\ 63\ne39 \end{gathered}

Option C is also not true.

Let's check Option D.

\begin{gathered} 3(25-x)=39 \\ 3(25-12)=39 \\ 3(13)=39 \\ 39=39 \end{gathered}

As we can see, at x = 12, Equation D is equal to 39. Hence, Equation D is true.

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3 years ago
PLEASE HELP <br> IS IT LINEAR OR EXPONENTIAL
prohojiy [21]

Answer:

Linear

Step-by-step explanation:

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8 0
2 years ago
Can someone please help?
Kaylis [27]

Hey there!

The answer is C.

First of all, let's assign variables. We can use t for tricycles and b for bicycles.

Next let's look at the first statement:

"There are at most 12 bicycles and tricycles in a school playground."

"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.

We can write this as b + t ≤ 12.

Now we can look at the second statement:

"There are at least 17 wheels altogether."

"At least" means the number 17 will be included in the inequality.

Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.

That can be written as 2b + 3t ≥ 17.

Our final system of inequalities:

b + t ≤ 12

2b + 3t ≥ 17

This matches option C.

Hope this helps!

8 0
3 years ago
The post office is now calculating the volume of packages to determine the shipping cost. If a box measure 8 1/2 inches long, 5
sladkih [1.3K]
Answer:
volume of box = 312.375 in²

Explanation:
The volume of a rectangular box can be measured as follows:
volume = length* width * height

From the givens we have:
length = 8.5 in
width = 5.25 in
height = 7 in

Substitute with the givens in the above equation to get the volume as follows:
volume = length * width * height
volume = 8.5 * 5.25 * 7
volume = 312.375 in²

Hope this helps :)
3 0
3 years ago
Toms parents let him choose whether to play his favorite board games for 7/8 hours or 8/8 hours explain which amount of time you
Stells [14]
8/8 hours because he can play for a longer amount of time
4 0
3 years ago
Read 2 more answers
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