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Viefleur [7K]
3 years ago
11

Steven solves 7 times 3 the break apart and distribute strategy. Shown An Example of what Steven’s work might look below.

Mathematics
1 answer:
Shalnov [3]3 years ago
3 0

Using break apart and distribute strategy, Steven's work can be the following steps:

  • 7 \times 3 = 7 \times (1 + 2).
  • 7 \times 3 = 7 \times 1 + 7 \times 2.
  • 7 \times 3 = 7 + 14.
  • 7 \times 3 = 21

The expression is given as:

7 \times 3

<u>Using the break apart and distribute strategy</u>

3 can be break into 1 + 2

So, we have:

7 \times 3 = 7 \times (1 + 2)

Distribute

7 \times 3 = 7 \times 1 + 7 \times 2

Simplify

7 \times 3 = 7 + 14

7 \times 3 = 21

Read more about break apart and distribute strategy at:

brainly.com/question/6037402

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Richard's cumulative GPA for 3 semesters_ was 2.0 for 42 credits. His fourth semester GPA was 4.0 for 14 course units. What is R
Phoenix [80]

Answer:

Richard's cumulative GPA = 2.5

Step-by-step explanation:

Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.

Average = 2

Total credits = 42

Average = sum of terms/total no of terms

2 = sum of terms/42

sum of terms = 84 ....(1)

His fourth semester GPA was 4.0 for 14 course units

Average = 4

Total credits = 14

sum of terms = 56 .....(2)

Average for 4 semesters,

A=\dfrac{84+56}{42+14}\\\\A=2.5

Hence, Richard's cumulative GPA for all 4 semesters is 2.5.

8 0
3 years ago
Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and ca
castortr0y [4]

The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft

<h3 />

<h3>Area of a rectangle:</h3>
  • area = lw

where

l = length

w = width

She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,

  • area = 1600 ft²

lw = 1600

Therefore,

perimeter = 160 ft

Then,

perimeter of rectangle = 2(l + w)

160 = 2(l + w)

l + w = 80

Let's combine the equations

lw = 1600

l + w = 80

l = 80 - w

Therefore,

w(80 - w) = 1600

80w - w² = 1600

Therefore,

w² - 80w + 1600 = 0

w² - 40w - 40w + 1600 = 0

w(w - 40) - 40(w - 40) = 0

(w - 40)(w - 40) = 0

w = 40 or 40

Therefore, the dimensions can be calculated as follows:

lw = 1600

40l = 1600

l = 1600 / 40

l = 40 ft

Therefore, the dimensions are 40ft by 40 ft

learn more on algebraic model here: brainly.com/question/4151078

4 0
3 years ago
A bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people
mihalych1998 [28]

Answer:

5 minutes.

Step-by-step explanation:

We have been given that a bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people per minute leave the bank after receiving service.

We will use flow time formula to solve our given problem.

\text{Flow time}=\frac{\text{Number of units produced}}{\text{Duration of time period}}

\text{Flow time}=\frac{10}{2}

\text{Flow time}=5

Therefore, on average bank customers wait in line for 5 minutes.

5 0
3 years ago
The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides
Ilya [14]

Answer:

8:4

Step-by-step explanation:

Given that,

The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16

We need to find the ratio of their sides. For similar polygons, the ratio of  the area is proportional to the square of the ratio of their corresponding sides.

Let sides are x₁ and x₂. So,

\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}

So, the required ratio is 8:4.

8 0
3 years ago
Keith has 3(1/12) week's worth of pay in a wallet and 3(5/12) week's of pay in the bank. Weeks ago, Keith spent 2(1/12) hours ch
hram777 [196]

Answer:

(1/3) weeks worth of pay.

Step-by-step explanation:

Keith has 3(1/12) weeks worth of pay in a wallet.

Keith has 3(5/12) weeks worth of pay in the bank.

How many more weeks of pay is in Keith's bank than Keith's wallet?

The number of weeks more of pay in Keith's bank than Keith's wallet

= (Number of weeks worth of pay in the bank) - (Number of weeks worth of pay in the wallet)

= 3(5/12) - 3(1/12)

= (4/12) = (1/3) weeks worth of pay.

Hope this Helps!!!

5 0
3 years ago
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