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4 years ago

How do I show the distributive property for 6x7

Mathematics

2 answers:

abruzzese [7]4 years ago

8 0

6*7

=6(1+1+1+1+1+1+1)

=6*1+6*1+6*1+6*1+6*1+6*1+6*1

=6+6+6+6+6+6+6

=42

wlad13 [49]4 years ago

5 0

the answer is 42 because there is no other numbers in parentheses

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While on a road trip, Steve drove 300 miles in 5 hours. After stopping for gas, he drove an additional 120 miles in 2 hours. Doe

bija089 [108]

Answer:

The given situation is in direct variation.

The dependent variable is the distance covered and the independent variable is the number of hours.

Step-by-step explanation:

We are given the following information in the question:

Steve drove 300 miles in 5 hours.

After stopping for gas, he drove an additional 120 miles in 2 hours.

We calculate the ratios and if these ratios are equal then, we can say that the situation represent a direct variation.

For direct variation, the equation is of the form y = kx that is , we can write,

$\displaystyle\frac{y}{x} = k$

To check the ratio:

$\displaystyle\frac{300}{5} = \frac{300+120}{5+2} =\frac{420}{7} = 60$

Thus, the given situation is in direct variation.

The dependent variable is the distance covered and the independent variable is the number of hours.

3 0

3 years ago

Can't figure out this problem can anyone help if so thank you

Virty [35]

Answer:

10th term of the sequence = 0.537

Step-by-step explanation:

First three terms of the sequence are → 5, 4, $\frac{16}{5}$ ..........

Ratio of 2nd and 1st term of the sequence = $\frac{4}{5}$

Ratio of 3rd and 2nd term of the sequence = $\frac{\frac{16}{5} }{4}$

= $\frac{4}{5}$

Therefore, ratio between every successive term to the previous term is common.

Common ratio 'r' = $\frac{4}{5}$

First term of the sequence 'a' = 5

nth term of a geometric sequence = $a(r)^n$

Therefore, nth term of the given term will be $T_n=5(\frac{4}{5})^n$

Now we have to find the 10 term of the given sequence.

For n = 10,

$T_{10}=5(\frac{4}{5})^{10}$

= 0.53687

≈ 0.537

Therefore, 10th term of the sequence is 0.537

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3 years ago

Find the size of angle q if it is five times it's supplement

tino4ka555 [31]

Answer:

q = 150

Step-by-step explanation:

Supplementary angles are angles that form a straight line and have a sum of 180 degrees, e.g. 120 and 60. If its supplement is thirty, and angle q is five times its supplement, it's 150. We know this is correct because 150 + 30 = 180, which is what we need for a supplementary angle.

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3 years ago

Solve the equation 5x-(2x-13)=40

Leokris [45]

Answer:

Step-by-step explanation:

open the bracket, you will have

5x-2x+13=40

collect like terms

5x-2x=40-13

3x=27

divide both side by 3