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vodka [1.7K]
3 years ago
15

In Buffalo, New York, the temperature was 10°F in the morning. If the temperature rose 10°F, what is the temperature now?

Mathematics
1 answer:
Bond [772]3 years ago
4 0

Answer:

20 degrees F

Step-by-step explanation:

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Frank has a 2-digit number on his baseball uniform. The number is a multiple of 10 and has 3 for one of its factors . What three
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Frank could have 30, 60 , 90 on his uniform

<em><u>Solution:</u></em>

Given that, Frank has a 2-digit number on his baseball uniform

The number is a multiple of 10 and has 3 for one of its factors

To find: Three numbers that Frank have on his uniform

Given that,

It's a multiple 10 and has 3 for one of its factors and its a 2-digit number

Let us first find the multiples of 10

<em><u>The two digit multiples of 10 are:</u></em>

{10, 20, 30, 40, 50, 60, 70, 80, 90}

From the above list, find the numbers which has 3 as one of its factors

Which means, find the numbers which are divisible by 3

The possible numbers = 30, 60, 90

Thus frank could have 30, 60 , 90 on his uniform

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What is a reciprocal?
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Let z be inversely proportional to the cube root of y. When y =.064, z =3
zhuklara [117]

Given:

z be inversely proportional to the cube root of y.

When y =0.064, then z =3.

To find:

a) The constant of proportionality k.

b) The value of z when y = 0.125.​

Solution:

a) It is given that, z be inversely proportional to the cube root of y.

z\propto \dfrac{1}{\sqrt[3]{y}}

z=k\dfrac{1}{\sqrt[3]{y}}              ...(i)

Where, k is the constant of proportionality.

We have, z=3 when y=0.064. Putting these values in (i), we get

3=k\dfrac{1}{\sqrt[3]{0.064}}

3=k\dfrac{1}{0.4}

3\times 0.4=k

1.2=k

Therefore, the constant of proportionality is k=1.2.

b) From part (a), we have k=1.2.

Substituting k=1.2 in (i), we get

z=1.2\dfrac{1}{\sqrt[3]{y}}

We need to find the value of z when y = 0.125.​ Putting y=0.125, we get

z=1.2\dfrac{1}{\sqrt[3]{0.125}}

z=\dfrac{1.2}{0.5}

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Therefore, the value of z when y = 0.125 is 2.4.

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