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Answer: $49,000

Step-by-step explanation:

Total earnings = Basic salary + commission

Commission = 175,000 * 4%

= $7,000

Total earnings = 42,000 + 7,000

= $49,000

Answer: (10 2/3, 5)

Step-by-step explanation:

Answer:

1/3 divided by 5/4

So we divide both the top by 3 and the bottom by 3 and so our final answer would be 4 over 7. So that's our simplified fraction

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Invert and multiply:

Take the reciprocal of the divisor and multiply the dividend. The top and bottom are being multiplied by the same number. Since that number is the reciprocal of the bottom part, the bottom becomes one.

Find the biggest common number:

It could be said to be a "more correct" method. This is the correct way since, you can’t divide apples by oranges in the same way as you can’t divide fifths by fourths.

Answer:

Step-by-step explanation:

You find the biggest common number you can divide the numerator and denominator.

For example, we have our answer is 8/12 so you can divide it into 1,2, and 4. 8/12 divide by 1/1 =   8/12. 8/12 / 2/2 = 4/6. 8/12 / 4/4 = 2/3.

So the answer is 2/3.

Answer:

5/6

Step-by-step explanation:

Answer:

20 ; $135 ; service charge for 3 hours spent is $135

Step-by-step explanation:

Given that :

Service fee equation model :

C(h)= 75 + 20h

C = total cost of the service call

h = number of hours the plumber spends working on the problem

The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours

bx = 20h

b = 20

Charge per hour = 20

C(3) = 75 + 20(3)

75 + 60 = 135

This means that total service call charge for a plumber who spends three hours fixing a problem is $135

Answer:

A

Step-by-step explanation:

Area of shape A:  (3x² + 2)(7x² + 4x + 8) = 21x^4 + 12x³ + 38x² + 8x + 16

Area of shape B: (3x² + 2)(3x² + 2) = 9x^4 + 12x² + 4

Difference:  12x^4 + 12x³ + 26x² + 8x + 12

Answer:

86 degrees

Step-by-step explanation:

94+86=180

Answer:

A supplementary angle is an angle that completes 180 degrees.

Thus, an 86 degree angle would be supplementary to a 94 degree angle.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The absolute value of any number is the value of the number when it's positive.

So...

I-8I = 8

and  I8I = 8

Answer:

I belive It would be Quadant IV (d) if I did everything right sorry if I am not correct.

Please tell me if im not correct thank you.

Answer:

123

Step-by-step explanation:

100 ÷ 5 × 4 + 43 = 123

Answer:

123

Step-by-step explanation:

Lets use the PEMDAS method.

100 ÷ 5 × 4 + 43

(20) × 4 + 43

(80) + 43

123

Hence, the answer is 123.

Answer:

B: 1 to 5

Step-by-step explanation:

3 hours is to 15 miles as 1 hour is to 5 miles (division by 3)

Answer:

20, 16, 6 can be side lengths

7, 7, 3 can be side lengths

3, 7, 14 cannot be side lengths

9.9, 25.0, 15.6 can be side lengths

Step-by-step explanation:

The rule for determining if three length can make up a triangle is to consider the length of any of the two and compare with the third length to check if it's greater.

mathematically, assume that a, b, c are three lengths. they will only form a triangle if these three conditions are true.

a + b > c;

b + c > a;

a + c > b;

That is the reason the only 3,7,14 cannot form a triangle because 3 + 4 < 14

Answer:

y=x^2 +10x+6 should be the answer

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

   /4        /4

x - 7 = 25

   +7     +7

x = 32

Answer:

yes

Step-by-step explanation:

its a straight line and does not touch each other

Answer:

y=-3x+2

Step-by-step explanation:

Slope-intercept form is given by the equation y=mx+b, where m is defined as the slope and b is defined as the y-intercept (the value on the y-axis that the line crosses). First we can determine the slope by using the slope formula.

m=(y2-y1)/(x2-x1), given two points (x1, y1) and (x2, y2). Keep in mind you can choose which point is (x1,y1) and which is (x2,y2) as long as you are consistent.

Plugging in for (-1,5) and (1,-1), you will get:

m=(-1-5)/(1-(-1))=-6/2=-3

Next, we need to find the y-intercept. For this problem, you can determine it is 2 by looking at the graph of the line. We now have both components to create the slope-intercept form.

m=-3, b=2

y=-3x+2

Answer:

D

Step-by-step explanation:

Answer:

$11.30

Explanation : 11.3= 1.10(8)+2.5

Answer:

1 hour= 45 miles

1/2 hour=22.5 miles

3 hours= 135

Step-by-step explanation:

just work out one hour by halving 90 miles which is 45. Then work out the rest by halving again and multiplying by 3.

Answer:

1st way:

90/2=45

1 hour = 45 miles

45/2=22.5

0.5 hour = 22.5 miles

45+22.5=67.5

1.5 hour = 67.5 miles

67.5x2=135

3 hours = 135 miles

2nd way:

90 miles - 2 hours

1 hour - 60 minutes

60x2=120

90/120=0.75

1 minute - 0.75 miles

0.75x60=45

1 hour = 45 miles

60:2=30

60+30=90

0.75x90=67.5

1.5 hour = 67.5 miles

60x3=180

0.75x180=135

3 hours = 135 miles

Step-by-step explanation:

By Pythagoras' Theorem, we have

Hypotenuse = √[(13.9)² + (10.2)²] = 17.2. (B)

Answer:

13 + 2n

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

we don't know each other but i love u and your amazing. keep being u and im so proud of u.

jeez i would like a mom-

Answer:

A. 60 degrees

Step-by-step explanation:

The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.

so we will subtract the given values from 180 to find the third angle

180-(96+24)=180-120=60°

The answer is A. 60°

Answer:

[tex]y-9=-\frac{3}{7} (x+4)[/tex]

Step-by-step explanation:

Slopes are negative reciprocals when two lines are perpendicular

[tex]m= - \frac {3}{7}[/tex]

Equation of straight line in point-slope form is given as

[tex]y-y_1=m(x-x_2)[/tex]

Here [tex](x_1, y_1)= (-4, 9)[/tex]

[tex]y-9=-\frac{3}{7} (x+4)[/tex]

The equation of line passes through the point (-4, 9) will be;

⇒ y - 9 = - 3/7x - 12/7

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, 9).

And, The perpendicular line is,

⇒ y - 2 = 7/3 (x + 5)

Now,

Since, The equation of line passes through the point (- 4, 9).

So, We need to find the slope of the line.

Since, The product of the slope of perpendicular line is - 1.

Hence, Slope of the perpendicular line is,

⇒ y - 2 = 7/3 (x + 5)

m = dy/dx = 7/3

m = 7/3

Thus, The equation of line with slope - 3/7 is,

⇒ y - 9 = - 3/7 (x - (-4))

⇒ y - 9 = - 3/7 (x + 4)

⇒ y - 9 = - 3/7x - 12/7

⇒ y = - 3/7x + 9 - 12/7

⇒ y = - 3/7x + 51/7

Therefore, The equation of line passes through the point (-4, 9) will be;

⇒ y - 9 = - 3/7x - 12/7

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

45/13 in decimal form rounded to the nearest tenth:

[tex] \frac{45}{13} = 3.46 ≈\boxed{3.5}(approx) \\ [/tex]

Answer=3.5

Step by step: 45/13=3.5