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3 years ago

What is 4x-7y=3 x-7y= -15

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer:

-3/4 and y= 3/7

Step-by-step explanation:

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Use greatest common factor and the distributive property to write an equivalent expression in factored form for the following Ex

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To solve this find the common number that can be divided by both and use that number.

In this case, 4 is divisible by both 4 and 12, and thus the final expression would be

4(d + 3e).

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3 years ago

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Gina works at a diner. She earns $6 each hour plus tips.In one week,she worked 37 hours a week and earned $43 in tips.How much d

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The answer is $265 (how much did she make altogether)

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4 years ago

mandy's square quilt measures 99 inches on each edge. how many yards of trim does she need to buy to go around the entire quilt?

stira [4]

There are 36 in in a yard

36 in ------> 1 yd

99 in ------> x

x = (99)(1)/36
x = 2.75
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3 years ago

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Find the probability of each event. A class has five boys and nine girls. If the teacher randomly picks six students, what is th

kumpel [21]

Answer: $\dfrac{60}{143}$

Step-by-step explanation:

Given, A class has five boys and nine girls.

Total students = 5+9=14

Number of ways to choose 6 students out of 14= $^{14}C_6$ [Using combinations]

Number of ways to choose 4 girls out of 6 (4 girls + 2 boys = 6 ) = $^{9}C_4\times\ ^{5}C_2$

If the teacher randomly picks six students, then the probability that he will pick exactly four girls:-

$\dfrac{^{9}C_4\times \ ^{5}C_2}{^{14}C_6}$

$=\dfrac{\dfrac{9!}{4!5!}\times\dfrac{5!}{2!3!}}{\dfrac{14!}{6!8!}}\\\\=\dfrac{1260}{3003}\\\\=\dfrac{60}{143}$

hence, the required probability = $\dfrac{60}{143}$ .

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3 years ago

Prove Theorem 3: Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of si

RoseWind [281]

Answer:

The proof is given below.

Step-by-step explanation:

Given the two triangles which are similar we have to prove that the ratio of their angle bisectors and the side or we can say that the ratio of their altitude are proportional.

In ΔABP and ΔDEQ

∠1=∠2 (Given)

∠3=∠4 (each 90°)

By AA similarity rule ΔABP≅ΔDEQ

As if the two triangles are similar then their corresponding sides are proportional

⇒ $\frac{AB}{DE}=\frac{AP}{DQ}=\frac{BP}{EQ}$

Hence, Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of altitude.

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3 years ago