MATHEMATICS HIGH SCHOOL

An electrician charges a rate of $65 per hour plus a fee of $75 for a job done during the weekend. She earned $465 for a weekend job.Part A. Enter an equation to find the number of hours, h, the electrician worked on this job.

Part B. How many hours did the electrician work?

Answers

Answer 1
Answer:

Answer:

(465 - 75) ÷ 65

She worked for 6 hours

Step-by-step explanation:
Answer 2
Answer:

Answer:

Step-by-step explanation:

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2. A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles. To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

Answers

given:
angle of 6 : i'm assuming this is 6 degrees.
distance of 5 miles.

tan(6) = rise/5 mi
rise = 5 mi * tan(6)
rise = 5 mi * 0.10510423526
rise = 0.52552117632

rise = 0.53 miles.

3.81 as a mixed number

Answers

In a mixed number, there is a whole number representing the complete parts and a fraction representing the fracitonal part. The whole number remains the same as in a decimal, so that will be 3. Next, the fraction will be 81/100, which can not be simplified any further. Thus, as a mixed number, 3.81 is 3 81/100.Hope this helps. Let me know if you need additional help!

70. pts2x + 6 ≥ –4

A.
x ≤ –5

B.
x ≥ –8

C.
x ≥ –5

D.
x ≤ –8

Answers

2x+6 > -4
trate it as a temporary equals sign
2x+6=-4
subtract 6 rom both sdies
2x=-10
divide both sides by 2
x=-5

put it back
x > -5
so the answer is C
2x+6\geq-4 \n\n 2x\geq-4-6 \n\n 2x\geq-10 \ \ \ |:2 \ \ \ \hbox{divide all the inequality with 2} \n\n x\geq-5 \n\n \hbox{The answer is variant C. x\geq-5}

Sketch a graph of the following inequality and the choose the correct description of the graph: x + y - 5 ≥ 0 Slope is -1, y-intercept is -3, dashed line, shaded below
Slope is -1, y-intercept is -3, dashed line, shaded above
Slope is 1, y-intercept is -3, dashed line, shaded below
Slope is 1, y-intercept is -3, dashed line, shaded above

Answers

Answer:

Slope -1, y intercept +5.

Bold line, shaded above

Step-by-step explanation:

x + y - 5 ≥ 0

y ≥ -x + 5

Write an equation of a line with the given slope and y-intercept. m = –2, b = 4

Answers

Answer:

y=-2x+4

Step-by-step explanation:

The given data is

m=-2

b=4

Where m is the slope of the line and b is the y-intercept. So, basically this line has a slope of -2 and y-intercept at 4.

To find its equation, we use the slope-interception form

y=mx+b

Then, we replace each given value

y=-2x+4

Therefore, the equation for the given line is

y=-2x+4
y= -2x+4 m represents the x value and b the y intercept

Four less than the sum of a number and 7 is eight more than twice that number. find the number.

Answers

Answer:

-5

Step-by-step explanation:

To find the number, let's break down the problem step by step.

First, let's assign a variable to represent the unknown number. Let's call it "x."

According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."

Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."

Now, we can set up an equation based on the information given:

(x + 7) - 4 = 2x + 8

Let's solve this equation to find the value of x.

First, let's simplify the left side of the equation:

x + 7 - 4 = 2x + 8

x + 3 = 2x + 8

Next, let's isolate the variable by subtracting x from both sides:

x - x + 3 = 2x - x + 8

3 = x + 8

To isolate x, we need to get rid of the 8 by subtracting it from both sides:

3 - 8 = x + 8 - 8

-5 = x

Therefore, the number is -5.

To check our answer, let's substitute -5 into the original equation and see if it holds true:

( -5 + 7) - 4 = 2(-5) + 8

2 - 4 = -10 + 8

-2 = -2

The equation holds true, which confirms that the number is indeed -5.
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