MATHEMATICS HIGH SCHOOL

Simplify: 9(a + b) + 4(3a + 2b)A) 13a 13b
B) 21a + 17b
Eliminate
C) 21a + 2b
D) 38ab

Answers

Answer 1
Answer:

Answer:

Option (B) is correct.

The simplified form of the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right) is 21a+17b

Step-by-step explanation:

 Given: expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)

We have to simplify the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right) and choose the correct option from given options.

Consider the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)

Apply distributive rule, a\left(b+c\right)=ab+ac

We have,

=9a+9b+12a+8b

Adding like terms,

LIKE TERMS are terms having same variable with same degree.

9a+12a=21a\n\n \:9b+8b=17b

We have,

=21a+17b

Thus, The simplified form of the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right) is 21a+17b
Answer 2
Answer: b) 9(a+b)+4 (3a+2b)=21a+17b

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Richard klein works as an auto mechanic and earns the following commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales. He is guaranteed a minimum salary of $2,450.00 per month. Last month he brought in $2,500.00 in oil changes,$4,500.00 in tune ups and sold $28,200.00 in parts. What is his gross pay for the month?

Answers

Richard's gross pay for the month was $ 4,512.5.

It is required to find the gross pay for the month.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.

salary = $2,450.00 per month

Last month salary= $2,500.00 in oil changes,

tune ups=$4,500.00  

sold =$28,200.00 in parts.

According to given question we have,

2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X

2,450 + 75 + 225 + 1,762.5 = X

2,450 + 2,062.5 = X

4,512.5 = X

Therefore, Richard's gross pay for the month was $ 4,512.5.

Learn more details about arithmetic here:

brainly.com/question/11559160

#SPJ2

Answer:

21

Step-by-step explanation:

Which of the following statements is always true of similar polygons?A. Corresponding angles of similar figures have the same measure.

B. The lengths of corresponding sides form equivalent ratios.
C. The lengths of corresponding sides have the same measure.
D. both (a) and (b)

Answers

In this question, there are two correct choices. The corresponding angles of a similar figures have the same measure and the lengths of corresponding sides form equivalent ratios will be the correct choices. 

Solve by graphing
y= -4x+5
y=3x-2

Answers

y = -4x + 5
y = 3x - 2

  -4x + 5 = 3x - 2
+ 4x       + 4x
           5 = 7x - 2
        + 2        + 2
           7 = 7x
           7     7
           1 = x
           y = -4x + 5
           y = -4(1) + 5
           y = -4 + 5
           y = 1
     (x, y) = (1, 1)

In the function f (x)=(x-2)^2+4, the minimum value occurs when x is... (a) -2(b) 2
(c) -4
(d) 4

Answers

Hello,

y=a(x-h)²+k has the vertex (h,k)
If a>0 it is a minimum
if a<0 it is a maximum

Here h=2 and k=4

The minimum is 2
Answer B.

How many trizngles can make with a perimeter of 12 units?

Answers

Hello,


a infinity
===============
AC=a
BC=b
AC+BC+AB=p=12

What is the slope of a line passing through the points (2, 5)(2, 5) and (0, −4)(0, −4) ?

Answers

Slope between (2, 5) and (0, -4),  x₁ = 2, y₁ = 5   x₂ = 0, y₂ = -4

Slope = (y₂ - y₁) / (x₂ - x₁) = (-4 - 5) / (0 - 2) = -9/-2 =9/2 = 4.5

Slope = 9/2 = 4.5

Hope this helps.
The gradient (or the slope) would be 9/2.
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