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3 years ago

Can someone help me by please

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

<h3>Answer: Choice A) 2 oranges, 5 apples, 13 pears</h3>

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Explanation:

10% in decimal form is 0.10

25% in decimal form is 0.25

The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5

This means that we have 2.5 times as many apples compared to oranges.

If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.

Based on this, the answer is either A or B.

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65% turns into 0.65

The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5

So we have 6.5 times as many pears as oranges.

If we had 2 oranges, then we have 2*6.5 = 13 pears

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To summarize, we have:

2 oranges, 5 apples, 13 pears.

The answer is therefore choice A

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A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to cool in a 65°F room. After fift

s344n2d4d5 [400]

86.34 minutes was used to cool the soup to 80 °F

<h3></h3><h3>How can we calculate this using Newton's Law of Cooling?</h3>

Newton's Law of Cooling can be computed as :

$T=T1+(T0- T1) e^{kt}$

The initial temperature is been represent by T0 which is ( 100 F)

The temperature of surrounding is been given as (69 F)

The final temperature is been given as T

t = time

we were told that the temperature of the soup move to 95 F, using 15 minutes.

Hence, T = 95 F

t = 15 min

Then we can input the values into the above equation as :

$95= 69 + (100-69)e^{15k}$

if we simplify this , we have

$26= 31e^{15k}$

Then $e^{15k} =0.8387$

Then we can find the value of k as :

k= -0.012

Then we have the new equation as

$T= 69 + (100-69)e^{-0.012t}$

$T= 69 + 31e^{15k}$

Then at T=80F

we have,

$80= 69 + 31e^{15k}$

t=86.34

Then if we simplify , we have t=86.34 which implies that 86.34 minutes was used to cool the soup to 80 °F

Learn more about Newton's Law of Cooling at:

brainly.com/question/17051432

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1 year ago

DeRay bought 2 1/4 ` pounds of raisins and divided them into snack packs with `1/8 pound in each snack pack. How many snacks pac

Firlakuza [10]

Answer:

18 snack packs

Step-by-step explanation:

2 1/4 = 9/4 = 18 / 8

18/8 divided by 1/8 = 18

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3 years ago

there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured

Nuetrik [128]

Answer:

27.5%

Step-by-step explanation:

Given:

1 Liter In Teapot
Alex poured 275 milliliters of the tea into a cup

Review:

1,000 Milliliters = 1 Liter

Concepts:

A liter is a noun meaning a unit of capacity redefined in 1964 by a reduction of 28 parts in a million to be exactly equal to one cubic decimeter. It is equivalent to 1.0567 U.S. liquid quarts and is equal to the volume of 1 kilogram of distilled water at 4°C.

A millimeter is a noun meaning a unit of capacity equal to one thousandth of a liter, and equivalent to 0.033815 fluid ounce, or 0.061025 cubic inch.

Formula:

The mℓ to ℓ formula is [L] = [mL] / 1000.

Now we must convert 275 milliliters to liters.

1. Divide the volume by 1,000.

275 ÷ 1000 = 0.275

2. Add the Unit Symbol for Liter.

0.275 ⇒ 0.275 L

Now we have to find how much of 1 liter- 0.275 liters as a percentage is.

To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.

7 0

1 year ago

Complete the factoring, 5x^2 - 40x = 5x( ) HELP ASAP PLS!

Aleksandr-060686 [28]

Answer:

$5x(x-8)$

Step-by-step explanation:

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3 years ago

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taurus [48]

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cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ

π/2 = 90°
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cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ

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Therefore cos(π/2 - θ) = sinθ

QED

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3 years ago