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3 years ago

8

Rewrite the equation 6 = 9(x + 3) using the Distributive Property

1 answer:

____ [38]3 years ago

5 0

The answers is 6= 9x+27

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Write a word problem that can be represented by the expression five sixths divided by one third.

vfiekz [6]

I have a lead pencil and only 2 pieces of lead left. One is 5/6 inches long and the other is 1/3 inches long. How many times longer is the 5/6 then the 1/3?

8 0

3 years ago

What is the similarity ratio of ΔABC to ΔDEF?<br> Tri ABC: AC=4 CB=5<br> Tri DEF: DF= 2

alekssr [168]

The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ $\frac{AC}{DF} =\frac{BC}{EF}$

⇒ $\frac{4}{2} =\frac{5}{EF}$

⇒ $4EF=5\times2$

⇒ $EF=\frac{5\times 2}{4}$

⇒ $EF=\frac{5}{2}$

Ratio of ΔABC to ΔDEF = $\frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}$

Similarly, ratio of ΔABC to ΔDEF = $\frac{BC}{EF} =\frac{5}{\frac{5}{2}}=\frac{2}{1}$

Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.

6 0

3 years ago

Mozart's Music Store rents trombones for $34 a month. Bach's Music Store rents trombones for $30 per month plus a yearly fee of

jeka94

Answer:

Step-by-step explanation:

Let $M(x)$ be the cost of renting from Mozart's Music Store for $x$ years, and $B(x)$ be the cost of renting from Bach's Music Store for $x$ years.

From the problem statement, we can come up with the following equations:

$M(x) = 34(12x)$

$B(x) = 30(12x) + 48x$

Plugging in $x = 9$ for each equation, we can get the answer:

$M(9) = 34(12 * 9)$

$M(9) = 34(108)$

$M(9) = 3672$

$B(9) = 30(12 * 9) + 48(9)$

$B(9) = 30(108) + 432$

$B(9) = 3240 + 432$

$B(9) = 3672$

From this, we can see that the value is equal for both stores.

4 0

3 years ago

The population of a town increased by 15% in 2016, and decreased by 5% in 2017. If the population of the town was 60,000 in the

nikdorinn [45]

Answer:

The population of the town at the end of 2017 was 65,550.

Step-by-step explanation:

The population of the town was 60,000 in the beginning of 2016.

In 2016, the total population is increased by 15%.

$60,000\times\frac{15}{100}=9000$

Therefore the population is increased by 9000 and the population of the town at the end of 2016 was

$60,000+9000=69,000$

In 2017, the total population is decreased by 5%.

$69,000\times\frac{5}{100}=3450$

Therefore the population is decreased by 3450 and the population of the town at the end of 2017 was

$69,000-3450=65,500$

Therefore the population of the town at the end of 2017 was 65,550.

3 0

3 years ago

PLEASSEEEEEE HELPPPPPP! WILL GIVE BRAINLIEST.

4vir4ik [10]

First replace x and y by 3 and 4.

(3*(x)+1)/(4*(y)^2)

((3*(3))+1)/(4*((4)^2)) = (9+1)/(4*16) = 10/64 = 5/32.

5/32 is your answer.

Please mark me as brainliest!

3 0

3 years ago