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fiasKO [112]
3 years ago
8

Use distributive law to factor the given expression: 3+21a+15b

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

3(1+7a+5b)

Step-by-step explanation:

The distributive law states that

a\cdot (b+c)=a\cdot b+a\cdot c.

The expression 3+21a+15b consists of three terms:

  1. 3=3·1;
  2. 21a=3·7a;
  3. 15b=3·5b.

You can see that 3 is the common factor of these three terms, thus

3+21a+15b=3(1+7a+5b).

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What are two solutions to x>29
Mamont248 [21]

Answer:

43 and 56/12

Step-by-step explanation:

5 0
3 years ago
Find the measure of the missing angle.<br> a<br> 66°
yanalaym [24]

Answer:

24°

Step-by-step explanation:

the total angle, made up from both a and 66°, is a mini-square, as you can see. this represents a right angle of 90°

thus, a and 66° combine to make 90°

a + 66° = 90°

subtract 66 from both sides to get a

a = 24°

7 0
2 years ago
Solve for x: three fourths times x plus five fourths equals four times x
Nostrana [21]

Answer:

x equals  five thirteenths

Step-by-step explanation:

To solve this, we will follow the steps below;

\frac{3}{4} ×  x  + \frac{5}{4}  =  4 × x

\frac{3x}{4} + \frac{5}{4}   = 4x

\frac{3x + 5}{4} =  4x

Multiply both-side of the equation by 4

\frac{3x + 5}{4} × 4=  4x × 4

On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;

3x + 5 = 16x

subtract 3x from both-side of the equation

16x - 3x = 5

13x = 5

Divide both-side of the equation by 13

\frac{13x}{13} = \frac{5}{13}

(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)

x = \frac{5}{13}

x equals  five thirteenths

7 0
3 years ago
A stack of 6 bricks is 2 feet high. How high is a stack of 20 bricks?
Korolek [52]
60.

The question gives you the fact that 6 bricks is 2 feet high.

What do you do to get from 2 to 20?
You multiply by 10.

Since you multiplied one thing by 10, you must do it to the other side so it remains balanced.

2 ft x 10ft = 20ft

6 bricks x 10 bricks = 60 bricks
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=0.2%2810-5c%29%20%3D%205c%20-%2016" id="TexFormula1" title="0.2(10-5c) = 5c - 16" alt="0.2(10-
san4es73 [151]

We are given,

\longrightarrow 0.2(10 - 5c) = 5c - 16

Solving the parenthesis

{ \longrightarrow 0.2 \times 10 - 0.2 \times 5c = 5c - 16 }

{ \longrightarrow 2 - 1c = 5c - 16 }

{ \longrightarrow 2  + 16 = 5c + 1c }

{ \longrightarrow  18  = 6c }

Dividing both sides by 6

{ \longrightarrow  3 = c }

Hence c = 3.

8 0
3 years ago
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