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crimeas [40]
3 years ago
15

Which statements are true about the expression 8 (a + 7)? Check all that apply.

Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

Step-by-step explanation:

We are given the following expression:

8 (a + 7)

We can simplify the expression by distributing 8 over (a+7).

Distributive property:

a(b+c)\\=(a\times b) + (a\times c)\\=a(b) + a(c)\\=ab + ac

Simplifying the expression, we get,

8(a+7)\\=(8\times a)+(8\times 7)\\=8a + 56

Thus, the correct options are:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

shepuryov [24]3 years ago
4 0

Answer:

Option 3.) 8(a+7) can be rewritten as b(a)+8(7)

Option 7.) An equivalent expression is 8a+56

Step-by-step explanation:

I’m really smart.

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A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank
Likurg_2 [28]

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

6 0
3 years ago
The hanger image below represents a balanced equation
irakobra [83]

Answer: B

Step-by-step explanation:

7 0
3 years ago
Which of the following represents the graph of f(x) = 2x + 2?
BARSIC [14]
The fourth option is correct.
7 0
3 years ago
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What is the x-intercepts of the function f(x)=-2x2-3x+20
Dmitry [639]
Hey,
The x-intercepts are the coordinates where the line intercepts the x-axis.

x-intercepts:( \frac{16}{3}, 0)

Cheers,
Izzy
5 0
3 years ago
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Find the unit rate for 405 miles in 8 hours. Rounded to the nearest tenth. Thx
yarga [219]

Answer:  

= 50.6 miles per hour

Showing Work:

This is a fraction equal to

405 miles ÷ 8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

405 miles ÷ 8

8 hours ÷ 8

=  

50.625 miles

1 hour

=  

50.625 miles

hour

= 50.625 miles per hour

rounding to the nearest tenth:

50.6 miles per hour

8 0
3 years ago
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