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2 years ago

Write an expression that shows how to multiply 7 x 256 using expanded form and Distributive property.

1 answer:

6 0

To multiply any number <span>using expanded form and Distributive property, we need two steps:
1. Write the greater factor in expanded form, and
2. Record partial products by using Distributive property.

Step 1.
</span><span>7 x 256 = 7 x (200 + 50 + 6)
</span>
Step 2.
7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

Hence, the complete expression should look like:
7 x 256 = 7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

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Reggie wrote a total of 48 political articles for the town newspaper this year. The number of political articles he wrote is 3 l

soldier1979 [14.2K]

Option B

48 = 2s - 3 shows an equality between number of political articles that Reggie wrote this year

<h3><u>Solution:</u></h3>

Given that, Reggie wrote a total of 48 political articles for the town newspaper this year

Number of political articles = 48

Let s represent the number of sports articles he wrote

The number of political articles he wrote is 3 less than twice the number of sports articles he wrote

Number of political articles = twice the number of sports articles - 3

Number of political articles = (2 x number of sports articles) - 3

Number of political articles = 2s - 3

We know that, number of political articles = 48

48 = 2s - 3

Thus above equation shows an equality between number of political articles that Reggie wrote this year

6 0

2 years ago

Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t

MAXImum [283]

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

8 0

2 years ago

ms.lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet. What is the length of the new roo

dexar [7]

Length of the new room is 17ft

5 0

2 years ago

Read 2 more answers

Kyle works at a donut factory, where a 10-oz cup of coffee costs 95cents, a 14-oz cup costs $1.15, and a 20-oz cup costs

lianna [129]

Answer:

10Oz = 7 , 14Oz = 16, 20 OZ = 6

Step-by-step explanation:

There three equations that can be made here based on given data

Let number of 10 Oz cup be x

Let number of 14 Oz cup be y

Let number of 20 Oz cube be z

we can see that

x+y+z=29 ----- (i)

.95x + 1.15y + 1.5z = 34.05 ---- (ii)

10x+ 14y + 20z = 414 ---- (iiI)

We can solve these equations together to get the value of x and y and z (Done through calculator 3 variable equation function)

x= 7

y=16

z=6

5 0

2 years ago

Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. S

Georgia [21]

Answer:

Step-by-step explanation:

Total number of boxes of cookies that Kendal bought to bring to the party is x.

Each box contains 12 cookies. This means that total number of cookies in x boxes would be

12 × x = 12x

She decides to keep two boxes for herself. This means that the total number of cookies that she kept for herself would be

12 × 2 = 24 cookies

She brings 60 cookies to the party.

The equation that can be used to find the number of boxes, x, Kendal bought would be

12x = 24 + 60

12x = 84

x = 84/12 = 7 boxes

6 0

2 years ago