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3 years ago

How many solutions are there to the equation below? 5x+48+7x=12(x+4)

1 answer:

6 0

Hi there! The answer is A.

$5x + 48 + 7x = 12(x + 4)$
Work out parenthesis.

$5x + 48 + 7x = 12x + 48$
Collect terms

$12x + 48 = 12x + 48$
Now we can see that both sides of the equation are exactly the same. Therefore, it doesn't matter whatever value of x you plug into the equation. Each value of x you plug into the equation makes the equation correct, because both sides are the same (both sides have the same outcome value).

The answer is A.

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3 years ago

(WILL GIVE BRAINLIEST)

weeeeeb [17]

Answer:

m<I=57

m<J=57

m<K=66

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

m<I= 3x+18

m<K= 5x+1

m<I is congruent to m<J.

We can plug the information we already know into the equation.

3x+18+3x+18+5x+1=180

11x+37=180

Subtract 37 from both sides.

11x=143

x=13

Now, we can find out what the angles are.

m<I= 3x+18

m<I=3(13)+18

m<I=39+18

m<I=57

We know that m<I=m<J, so they are both equal to 57 degrees.

m<J=57

Now for m<K:

m<K=5x+1

m<K=5(13)+1

m<K=65+1

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We know this is correct because 57+57+66=180.

4 0

3 years ago

A geometry class has a total of 27 students. The number of females is 13 less than the number of males. How many males and how m

boyakko [2]

Answer:

20 males and 7 females

Step-by-step explanation:

Let's say the number of females is x and the number of males is y.

We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.

There are 13 fewer females than males, so: x = y - 13.

Now, we can use substitution to solve this system of linear equations.

Since x = y - 13, we can plug in y - 13 for x in x + y = 27:

x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20

Then, we use this value of y to solve for x:

x = y - 13 = 20 - 13 = 7

Thus, there are 20 males and 7 females.

Hope this helps!

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3 years ago

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