1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iVinArrow [24]
3 years ago
13

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}

You might be interested in
Write the rate as a fraction in simplest form: 492 miles in 8 hours.
Lostsunrise [7]
123 miles 2 hours

Tanks
8 0
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]
<span>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
specific heat of iron = 450 J/ kg °C
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

The firs law of thermodynamics is conservation of energy => energy removed from inside of the refrigerator = energy released to the room

=> Answer = 492 J

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

Formula: heat = mass * specific heat * ΔT

specific heat of water = 4186 J / Kg °C

heat = 0.045 kg * 4186 J/kg °C * 63°C = 11,867.31 J
</span>
7 0
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]

<u>Answer:</u>

<h2>θ ≈ 81.37°</h2>

<u>Explanation:</u>

let the angle the ladder makes with the ground be θ

θ = cos⁻¹(3/20)

θ = cos⁻¹(0.15)

θ ≈ 81.37°

8 0
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.

5 0
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.

<u>Equidistant Chords Theorem</u>

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

All that is left is the Pythagorean Theorem in the right triangle.

<u>Pythagorean Theorem</u>

\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2

Hypotenuse in our case is the radius.

\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13

7 0
2 years ago
Other questions:
  • There are 76 boys in a sophomore class of 165 find the ratio
    5·1 answer
  • In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the di
    10·2 answers
  • A ball is dropped from a state of rest at time t=0.The distance traveled after t seconds is s(t)=16t^2 ft.
    12·1 answer
  • 4%of_____ days is 56 days
    14·1 answer
  • There are 8 chairs arranged evenly around t tables. Write an expression that shows how many chairs are at each table.
    10·2 answers
  • Island Rent-a-Car charges a car rental fee of $40 plus $5 per hour. Wayne's Wheels charges a car rental fee of $25 plus $7.50 pe
    12·1 answer
  • If two cars are 492.5 miles apart, the first car left at 1:00 at a constant rate of 55 mph and the second car left an hour later
    15·1 answer
  • James has 21 cups of flour. He will pour the flour equally into 4 containers. How many cups of flour will be in each container?
    7·2 answers
  • I give brainliest!!!!
    9·2 answers
  • CONSTRUCTION Carlos is building a screen door. The height of the door is I foot more than twice its width. What is the width of
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!