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2 years ago

N is the midpoint of AC; AN = 4x - 7 and NC = 5x - 15 Find NC=

Mathematics

1 answer:

coldgirl [10]2 years ago

4 0

Answer:

A____N____C

AN= NC

4x-7=5x-15

5x-4x= 15-7

x= 8

NC = 5x-15=5(8) – 15 = 40 – 15 = 25

I hope I helped you^_^

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The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individual

Lerok [7]

$\Huge\bf{\underline{\red \dag { Aиѕωєя }}} \red \dag$

4 Packs of water and 7 Packs of candy bars.

So, we wanna know the smallest number that both 35 and 20 will go into.

Find the Least Common Multiple (LCM), but to find the LCM we need to find the prime factorization of each of the following number :-

$\sf {35 = 5(7)}$

$\sf \red {20 = 5(4)}$

$\sf {4 = 2(2)}$

$\sf \red {20 = 5(2)(2)$

~Now multiply all the numbers by 5 :-

$\sf \pink{5(7)(2)(2) = 35(2)(2) = 70(2) = 140}$

This means she needs 140 bottles of water and 140 candybars.

Water is sold in packs of 35, this means that she needs :

$\sf \orange{ \frac{140}{35} = 4\: packs \: of \: water}$

Candy bars are sold in packs of 20, this means she needs :

$\sf \green{ \frac{140}{20} = 7 \: packs \: of \: candy \: bars}$

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2 years ago

Simplify (tan(θ)+cot(θ))/(sec(θ)•csc(θ)) completely

AlekseyPX

$\dfrac{\tan\theta+\cot\theta}{\sec\theta\csc\theta}=\dfrac{\dfrac{\sin\theta}{\cos\theta}+\dfrac{\cos\theta}{\sin\theta}}{\dfrac1{\cos\theta}\dfrac1{\sin\theta}}=\dfrac{\sin^2\theta+\cos^2\theta}1=1$

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3 years ago

Bottled apple juice is sold in four different sizes. Which is the best buy?

TiliK225 [7]

Answer:

A. 0.25 (rounded)

B. 0.19 (rounded)

C. 0.17 (rounded)

D. 0.17 (rounded)

Step-by-step explanation:

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2 years ago

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maks197457 [2]

Answer:

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Expand

That's

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we have the answer as

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Expand

That's

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3 years ago

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deff fn [24]

The answer will be 24 23/100

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2 years ago

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