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zheka24 [161]
3 years ago
8

Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, do

t, 2 ?
Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

C  None of the above

Step-by-step explanation:

Here are the required options

Choose all answers that apply

A  (5g+3h).8  

B  (5g+3h).6  

C  None of the above

Given the expression;

(5g+3h+4).2

Expand

(5g+3h+4).2

= 2(5g+3h+4)

= 2(5g) + 2(3h) + 2(4)

= 10g+6h+8

Checking option A;

(5g+3h).8

Expand

= 8(5g+3h)

= 8(5g) + 8(3h)

= 40g+24h

Checking option B:

(5g+3h).6

Expand

= 6(5g+3h)

Using the distributive law;

= 6(5g) + 6(3h)

= 30g+18h

Since none of the expressions for A and B is equivalent to 10g+6h+8, hence <u>NONE of the options are correct</u>

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Boris drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 216 miles?
satela [25.4K]
Use proportion to solve this.
240 miles needs 9 gallons
216 miles needs (9÷240) × 216 = 8.1 gallons

Hope it helped!
6 0
3 years ago
Read 2 more answers
What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 2.76 x 10 pw12 the width is 4.6 x
Elanso [62]
The caret (^) is the symbol conventionally used to indicate an exponent.

You have
  area = 2.76·10^12
  width = 4.6·10^5

You want to find the perimeter of the rectangle with these dimensions.

The perimeter of a rectangle is twice the sum of length and width.
  perimeter = 2*(length + width)
The length can be figured from the area using the formula for area.
  area = length*width
  area/width = length . . . . . . . . . divide by width
Filling in the numbers, we have
  perimeter = 2*((2.76·10^12)/(4.6·10^5) +(4.6·10^5))
  perimeter = 2*(6.0·10^6 +0.46·10^6)
  perimeter = 2*6.46·10^6 = 1.292·10^7

The perimeter of the rectangle is ...
  1.292·10^7
6 0
3 years ago
Write 56/90 as a decimal.
gizmo_the_mogwai [7]
56/90

" / " means divide

56 divided by 90 = 0.62 with a line over the 2 because it is repeating
5 0
3 years ago
Read 2 more answers
Given that a*b = 2ab - 3b. Determine 2*(3*5)​
Oksanka [162]

Answer:

15

Problem:

Given that a*b = 2ab - 3b. Determine 2*(3*5)​

Step-by-step explanation:

First we find 3*5 using rule a*b = 2ab - 3b.

3*5=2(3)(5)-3(5)

3*5=30-15

3*5=15

Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.

2*15=2(2)(15)-3(15)

2*15=60-45

2*15=15

Therefore, 2*(3*5)=15.

3 0
3 years ago
I need help with this
Nostrana [21]

Answer:

28 times

Step-by-step explanation:

2.8414 x 10^9 ÷ 1.0127 x 10^8

(2.8414 ÷ 1.0127) · (10^9 ÷ 10^8)

2.8 x 10

28

4 0
3 years ago
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