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IgorC [24]
1 year ago
13

Which of the following demonstrates the Distributive Property?

Mathematics
2 answers:
Murrr4er [49]1 year ago
6 0

Answer:

\fbox {3(4a + 2) = 12a + 6}

Step-by-step explanation:

⇒ 3(4a + 2)

⇒ 3(4a) + 3(2)

⇒ 12a + 6

Gelneren [198K]1 year ago
6 0

Answer:

A) 3(4a + 2) = 12a + 6

Step-by-step explanation:

This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.

3 * 4a = 12a

3 * 2 = 6

So then, as you can see, the answer would be 12a + 6.

This is another explanation, even though they are LITERALLY the same.

Apply the distributive property.

3 (4a) + 3 ⋅ 2

Multiply 4 by 3.

12a + 3 ⋅ 2

Multiply 3 by 2.

12a + 6

Brainliest pls

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A tea that is 22% jasmine is blended with a tea that is 13% jasmine. How many pounds of the 22% jasmine tea are used to make 10l
tatiyna

Given

A tea that is 22% jasmine is blended with a tea that is 13% jasmine

Find out the how  many pounds of the 22% jasmine tea are used to make 10lb of tea that is 19.3% jasmine.

To proof

Let us assume that the a tea that is 22% jasmine is blended = a

Let us assume that the a tea that is 13% jasmine is blended = b

Total amount of tea made = 10lb

the equation be

a + b = 10

as given

jasmine tea are used to make 10lb of tea that is 19.3% jasmine.

write 22%  in the decimal form

= \frac{22}{100}

= 0.22

write 13%  in the decimal form

=\frac{13}{100}

= 0.13

write 19.3%  in the decimal form

=\frac{19.3}{100}

= 0.193

than the equation be

0.22a + 0.13b = 0.193 × 10

on simplify

22a + 13b = 193

two equation becomes

22a + 13b = 193 and a + b = 10

multiply a + b = 10 by 13 and subtracted from the 22a + 13b = 193

we get

22a - 13a + 13b -13b = 193 - 130

9a = 63

a = 7lb

put this value in the a + b = 10

we get

7 + b = 10

b = 3lb

Therefore the 22% jasmine tea are used to make 10lb of tea that is 19.3% jasmine is 7 lb .

Hence proved


4 0
3 years ago
If a 12-student class averaged 90 on a test, and a 20-student class averaged 80 on the test, then all 32 students averaged
Alexxx [7]
Let the marks of the students in class 1 be

m_1, m_2, ....., m_1_2

the average of these 12 marks is 90, so 

\frac{m_1+ m_2+ .....+ m_1_2}{12}=90

which means

m_1+ m_2+ .....+ m_1_2=90*12=1080


similarly, let n_1, n_2, ....., n_2_0 be the marks of the students in the second class, 

so \frac{n_1+ n_2+ ..... n_2_0}{20}=80

which means n_1+ n_2+ ..... n_2_0=80*20=1600


The 32 students averaged:

\frac{(m_1+ m_2+ .....+ m_1_2)+(n_1+ n_2+ ..... n_2_0)}{12+20}= \frac{1080+1600}{32}= \frac{2680}{32}=   83.75
5 0
3 years ago
Read 2 more answers
Find x and y. <br><br> pls pls help
Anna [14]

Answer:

x = 65 , y = 64

Step-by-step explanation:

y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is

y - 16 + 2y + 4 = 180

3y - 12 = 180 ( add 12 to both sides )

3y = 192 ( divide both sides by 3 )

y = 64

then

2y + 4 = 2(64) + 4 = 128 + 4 = 132

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2y + 4 is an exterior angle of the triangle , then

x + 67 = 132 ( subtract 67 from both sides )

x = 65

7 0
1 year ago
1. Latoya baked b cookies, her family ate 13 of them. Using b write an expression for the number of cookies that remained :)
fiasKO [112]

Answer:

b-13

Step-by-step explanation:

I'm pretty sure this is right? Unless I'm missing something, if I am I am terribly sorry.

5 0
2 years ago
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evablogger [386]

Answer:

B

Step-by-step explanation:

The answer is b because the lines outside -65 are symbols for absolute value. Absolute value means the distance away from 0, so b would be an appropriate choice.

5 0
3 years ago
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