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nata0808 [166]
3 years ago
12

2(3x + 4) + 6 + 7x What is the answer

Mathematics
2 answers:
Paul [167]3 years ago
4 0

Answer:

13x + 14

Step-by-step explanation:

Use PEMDAS to first distribute out the terms in the parentheses:

2(3x+4) = 6x+8

Now that we have 6x + 8, we can just combien like terms with 6 + 7x:

6x+8+6+7x=13x+14

Thus, our answer is 13x + 14.

Colt1911 [192]3 years ago
3 0

Answer:

13x+14

Step-by-step explanation:

2(3x+4)+6+7x

Distribute:

=(2)(3x)+(2)(4)+6+7x

=6x+8+6+7x

Combine Like Terms:

=6x+8+6+7x

=(6x+7x)+(8+6)

=13x+14

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Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b
Rainbow [258]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

7 0
3 years ago
Ashley earned $20 babysitting in january. In February she earned $32. What is the percent of change in her earnings?
VARVARA [1.3K]

Answer:

Step-by-step explanation: her precent change is 12% because 32 - 20 = 12 and since 12 is a whole number that would make it 12%

3 0
3 years ago
An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 p
Zanzabum

Answer:

The answer is that both plans are equal.

Step-by-step explanation:

you start by putting the plans into an equation then you set them equal to each other. you need to assign a variable for the number of months. we'll call it M. It would look like this:

plan A - 25 + 8M

plan B - 5 + 12M

25 + 8M = 5 + 12M

Then you solve which looks like this:

25 + 8M = 5 + 12M

     -8M            -8M

25 = 5 + 4M

-5    -5

20 = 4M

/4       /4

5 = M

Now we aren't done after finding out what M equals. We still need to know what each plan will cost. So, we substitute what M equals into the equation. if they both end up equaling the same thing then its equal. if you get two different numbers they aren't. it would look like this:

25 + 8(5) = 5 + 12(5)

25 + 40 =  5 + 60

65 = 65

They are equal. Both plans will cost 65 dollars.

7 0
3 years ago
A marathon is 26.2 miles. What is the least number of times Miguel must run for his total distance run during training to exceed
ziro4ka [17]

Missing part of the question

Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.

What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?

Answer:

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

Step-by-step explanation:.

Given parameters

Miguel first run = 0.5 mile

Subsequent run = 0.2 mile

This question is an arithmetic progression.

We'll make use of arithmetic progression formula to solve this

Formula:.

Tn = a + (n - 1)d

Where a = first term

n = number of terms

d = common difference

In this case

a = first run = 0.5 mile

d = subsequent run = 0.2 mile

So, Tn = a + (n - 1)d become

Tn = 0.5 + (n - 1) 0.2

Tn = 0.5 + 0.2n - 0.2

Tn = 0.5 - 0.2 + 0.2n

Tn = 0.3 + 0.2n

The arithmetic series of an arithmetic progression is calculated using

Sn = ½(a + Tn) * n

By substituton, we have

Sn = ½(0.5 + 0.3 + 0.2n) * n

Sn = ½(0.8 + 0.2n) * n

Sn = 0.4n + 0.1n²

b.

Since the race is 26.2 miles then the least number of times is given as

Sn ≥ 26

0.4n + 0.1n² ≥ 26.2

0.1n² + 0.4n - 26.2 ≥ 0

Using quadratic formula

n = (-b ± √(b² - 4ac))/2a

Where b = 0.4 a = 0.1 and C = -26.2

So,

n = -0.4 ± √(0.4² - 4 * 0.1 * ,26.2)/2 * 0.1

n = (-0.4 ± √10.64)/0.2

n = (0.4 ± 3.26)/0.2

n = (0.4 + 3.26)/0.2 or (0.4 - 3.26)/0.2

n = 3.46/0.2 or -2.86/0.2

n = 17.3 or -14.3

Since n can't be negative

n = 17.3 miles

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

7 0
3 years ago
Read 2 more answers
Without using a calculator, choose the statement that best describes the value of
castortr0y [4]

Answer:

8

Step-by-step explanation:

i would say in between 8&9 bc the square root of 8 is 36 and 9 is 81 and that's right in the middle

4 0
3 years ago
Read 2 more answers
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