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3 years ago

Explain how to use the distributive property to find the product (3) 4 1/5

Mathematics

2 answers:

vlada-n [284]3 years ago

8 0

Answer:

Rewrite 3 ( 4 1 /5 ) as 3 ( 4 + 1 5 ) . Distribute the 3 to get 3(4) + 3 ( 1 /5 ) . Multiply to get 12 + 3 /5 . Then add to get 12 3 /5

Step-by-step explanation:

Artist 52 [7]3 years ago

4 0

Answer:

$\frac{63}{5}$

Step-by-step explanation:

Given expression:

(3) 4 $\frac{1}{5}$

The distributive law is mostly applied to multiplication and division which helps to expand a parentheses;

4 $\frac{1}{5}$ can be written as $\frac{21}{5}$

Now;

(3) $\frac{21}{5}$

With distributive property, we simply multiply the two terms;

3 x $\frac{21}{5}$ = $\frac{63}{5}$

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Write the rate as a fraction in simplest form: 492 miles in 8 hours.

Lostsunrise [7]

123 miles 2 hours

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3 years ago

1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules

hoa [83]

1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules

Formula: Heat = mass * specific heat * ΔT

Data:
mass = 50 g = 0.050 kg
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ΔT = 124°C - 10°C ¿ 114 °C

=> heat = 0.050kg * 450 J / kg°C * 114°C ≈ 2.6 J

2. If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 492J of energy to the room? Joules

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=> Answer = 492 J

3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules

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specific heat of water = 4186 J / Kg °C

heat = 0.045 kg * 4186 J/kg °C * 63°C = 11,867.31 J

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3 years ago

A 20ft ladder leans up against the wall. if the ladder is 3ft from the wall, what angle does the ladder make with the ground

RoseWind [281]

Answer:

Explanation:

let the angle the ladder makes with the ground be θ

θ = cos⁻¹(3/20)

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2 years ago

If x = 10, which lines are parallel? Check all that apply.

mart [117]

Answer:

c is parallel to d

Step-by-step explanation:

the degrees need to be equal in order for them to not intersect at any point, if you set x = 10 as given.

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3 years ago

Read 2 more answers

What is the radius of circle c

Oxana [17]

Answer:

radius = 13

Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

First let's find the shorter leg.

Equidistant Chords Theorem

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

Let's calculate the distance. But to get the distance we have to find x first.

Since the distances are the same:

$x + 3 = 2x + 1\\2 = x$

Therefore:

$\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5$

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.

Therefore:

$\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12$