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meriva
3 years ago
8

Help!!! Huge milestone!! I will give crown!!! The value of y is directly proportional to the value of x. If y=8 when x=10, what

is the value of y when x=25?
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:30

Step-by-step explanation:the initial statement is

y ∝ x

to convert to an equation multiply by k the constant

of variation

⇒ y = k x

to find k use the given condition

y = − 24 when x = 8 y = k x ⇒ k = y x = −22

∣

∣

∣22 y = − 3 x 22

∣∣∣

−−−−−−−−−−−−−−

when  x = 10

then y = − 3 × 10 = −30

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lisov135 [29]

Answer:

The total cost is $95.32.

Step-by-step explanation:

Given:

Total came to $76.75. There is an 8% sales tax and 15% tip.

Now, to find the total cost.

<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>

$76.75 + 8% of $76.75

76.75+\frac{8}{100}\times 76.75

76.75+0.08\times 76.75

76.75+6.14

82.89

The cost after sales tax is $82.89.

Now, <em>the cost after 15% tip:</em>

$82.89 + 15% of $82.89

82.89+\frac{15}{100}\times 82.89

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82.89+12.43

95.32

The cost after the tip is $95.32.

Therefore, the total cost is $95.32.

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3 years ago
Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 po
Hitman42 [59]

Answer:

14\ pounds

Below is the procedure that was used to find the answer.

Step-by-step explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is 10^3 times the weight of a cat. Based on this we can write the following equation:

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If the weight in pounds of the elephant is:

e=14,000

We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

Then we get:

14,000=10^3c\\\\\frac{14,000}{10^3}=c\\\\c=14

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