Problems on a Test

Mathematics

1 answer:

patriot [66]3 years ago

6 0

G = 4n is the correct equation to use. Eg 10 x 4 = 40, 18 x 4 = 72 and 21 x 4 = 84

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What is the sum of the multiples of 6 between 6 and 999?

riadik2000 [5.3K]

Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166

8 0

3 years ago

Parallelogram PARL is similar to parallelogram WXYZ. If AP = 15, PL = 40, and WZ = 120, find the value of c .50 110 6 45

vova2212 [387]

Answer:

Option D. c = 45 will be the answer.

Step-by-step explanation:

In the figure attached there are two similar parallelograms PARL and WXYZ.

In which AP = 15, PL = 40, WZ = 120 and WX = c

By the property of similarity, corresponding sides of the given parallelograms will be in the same ratio.

$\frac{PL}{WZ}=\frac{PA}{WX}$

$\frac{40}{120}=\frac{15}{c}$

c = $\frac{15\times 120}{40}$ [By cross multiplication]

c = 45

Therefore, Option D. c = 45 will be the answer.

4 0

3 years ago

Answer with work plssss

Inessa05 [86]

Answer:

$2a^4b^6$

Step-by-step explanation:

$a^2(ab^3)^2+b^2(a^2b^2)^2\\\\=a^2(a^2b^{2*3})+b^2(a^{2*2}b^{2*2})\\\\=a^2(a^2b^6)+b^2(a^4b^4)\\\\=a^{2+2}b^6+a^4b^{4+2}\\\\=a^4b^6+a^4b^6\\\\=2a^4b^6$