The electrician charges a $20 service fee, plus $60 per
hour for electrical repairs, shown by the equation below.
Solve the equation 60h + 20 = 140 and explain the
meaning of the solutions• (What does h represent?
What do the numbers in the equation represent, etc.)
Now let's change this equation into an inequality:
60h + 20 < 140
How does the change from an equation to an inequality
impact the meaning? Give one scenario that could
account for the less than sign.
Answers
Answer:
1a) h = 2
1b) "h" represents the amount of hours the electrician worked, so the electrician worked two hours. "60" represents the cost per hour. "20" represents the beginning service fee. "140" represents the total cost in the end.
2a) This impacts the meaning because instead of the equation, meaning that the customer of the electrician payed exactly $140, it is turned into an inequality, which means the customer payed $140 at most.
2b) The electrician charges a $20 service fee, plus $60 per hour for electrical repairs. The customer payed $140 at most. This is shown with the following equation: 60h + 20 < 140
Step-by-step explanation:
60h+20=140
60h=120
h=2
Related Questions
What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of
2 in, to the nearest tenths place?
Answers
Answer:
V=100.5
Step-by-step explanation:
hopes this helps
Please help with this problem.
Answers
Answer:
whats the problem it doesnt say anything
I don’t understand what to do and I’m having trouble with working it.
Answers
Answer:
y=112
Step-by-step explanation:
If x=3.5 and y=14, you would divide 28 by 3.5 to get 8. Since x and y are directly proportional, you would times 14 by 8 to get y=112.
I NEED HELP ANSWERING THIS QUESTION PLEASE HELP!!
Answers
2Answer:
a. 68%
b. 95%
c. 2.35%
Step-by-step explanation:
empirical rule is the
68–95–99.7 rule
a. 68%
b. 95%
c. 99.7 - 95 = 4.7 then 4.7/2 =
2.35%
Whats the rate of change for (0,3) and (2,-5)
Answers
Answer:
[tex]\boxed{\sf{-4}}[/tex]Step-by-step explanation:
Solve a slope using a rate of change.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
⇒ y2=(-5)
⇒ y1=3
⇒ x2=2
⇒ x1=0
Rewrite the problem down.
⇒ (-5)-3/2-0
Solve.
⇒ -8/2
Divide.
⇒ -8/2=-4
Therefore the slope is -4, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
convert the angle 3pi/5 radians to degrees
Answers
well, we know that π is 180°, so then what is 3π/5?
[tex]\begin{array}{ccll} radians°rees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]
Use the graph to answer the question.
On a coordinate plane, a circle has center (4, negative 1) and radius of 5.
Which equation describes the circle?
(x – 4)2 + (y + 1)2 = 25
(x – 4)2 + (y + 1)2 = 5
(x + 4)2 + (y – 1)2 = 25
(x + 4)2 + (y – 1)2 = 5
Answer: A
Answers
A town population was 6000 people last year. The population this year is expected to increase by 4%. By how many people is the population expected to increase this year?
Answers
the pop will increase by 240 people
If tanx = 0.75, find the value of
i. cos2x + sin2x
2tanx
ii.
for 0° < x < 90°
C0Sx-sinx
-
Answers
Answer:
i. 31/25
ii. 1/5
Step-by-step explanation:
you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.
I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answers
Answer:
the answer is 10.52547%
Step-by-step explanation:
You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of tangency on the fountain is
105 feet. Find the length of AC, the distance between you and your friend at point A.
Answers
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
How to determine the distance AC?To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
Read more about line of tangents at:
https://brainly.com/question/6617153
4.
Which point on the number line
represents 0.3?
Answers
It's C promise me it's C.
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST
What is the value of x in the figure?
Enter your answer in the box.
x =
Answers
Answer:
29 is the correct answer because subtract 90 from 61 we get 29
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
29°
Step-by-step explanation:
We know that both angle x and angle "61°" add up to a sum of 90° because it is a right angle.
So, we would have to subtract 61 from 90 to find the missing value.
90 - 61 = 29
Therefore, x equals 29°
-kiniwih426
John works at Klein’s Dry Cleaning. He earns $8. 45 per hour. If John worked 39 hours this week, what is his pay? *
Answers
Answer:
330.05
Step-by-step explanation:
because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05
A classic car is completely repainted, taking 120 hours total to finish the job. Using an
8-hour workday, how many days did it take to do the job?
Answers
Answer:
15 days
Step-by-step explanation:
120÷8=15
Are you sure it's high school math?
Find the area of the irregular figure.
Answers
Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
heeeeeeeeeeelllllllllppppppppppppp
Answers
Answer:
88
Step-by-step explanation:
The area of a triangle is calculated using the following formula:
1/2*b*h (b: base, h: height)
The height here is 11 and the base is 16
1/2*16*11 = 88 units square
Please help i really need help with this one
9.
about 5/7 of the earth's surface is covered with water.
about 88 957 440 km squared is land. in km², about how
much of the earth's surface is covered with water?
Answers
44478720=1/7 of the earths surface
222393600km^2 is how much water covers the earth
A line passes through the point (-1,-5) and has a slope of -5.
Write an equation in slope-intercept form for this line.
Answers
We're given a point that the line intersects and its slope.
Let's use Point-slope:-
[tex]\boxed{y-y1=m(x-x1)}[/tex]
y1 = -5
m=-5
x1=-1
[tex]\boxed{y-(-5)=-5(x-(-1)}[/tex]
[tex]\boxed{y+5=-5(x+1)}[/tex]
Convert to slope-intercept:-
[tex]\boxed{y+5=-5x-5}[/tex]
[tex]\boxed{y=-5x-5-5}[/tex]
Finally,
[tex]\bigstar{\boxed{\pmb{y=-5x-10}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Select all that apply. (30 points)
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answers
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.
5 = 60 and 7=120. 60+120=180
Find the sum of
−
3
7
and its opposite
Answers
Answer:0
Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).
And also
According to the line plot, how many tadpoles were measured?
10 tadpoles
3 tadpoles
4 tadpoles
9 tadpoles
Answers
Answer:
10 Tadpoles were mesured in the line plot
Answer:
10 tadpoles
Step-by-step explanation:
look at the diagram
count the x's
you get your answer
Michael bought 4 pairs of socks.
He paid $7.16 after using a $2-off
coupon. Write an equation that can
be used to find the regular price, p,
of a pair of socks.
Answers
Answer:
4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.
Step-by-step explanation:
The information that we know is...
- Michael purchased four pairs of socks.
- After utilizing a $2 off coupon, he spent $7.16.
We're expected to figure out what formula we should apply to get the standard price of a pair of socks so...
We start by writing 4p.
4 represents a pair of socks, and p represents the normal price of socks.
4p - 2
Then subtract 2 since he utilized a $2 off coupon.
4p - 2 = 7.16
Lastly, add = 7.16 because he paid in total $7.16.
So, 4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.
Hope this helps! :D
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.
Answers
Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?
Answers
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
Answers
[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]
Lindiwe is twice as old as Preeya and six years older than Sue . Their combined ages total 39 years . How old is Lindiwe
Answers
Answer:
Lindiwe is 18
Step-by-step explanation:
Lindiwe = L
Preeya = L/2
Sue = L-6
Their combined ages total 39 years
L+(L/2) + L-6 = 39
2.5L = 45
L=18
Lindiwe=18
Preeya= 9 (half of Lindiwe)
Sue = 12 (6 lessthan Lindiwe)
18+9+12 = 39
Express the first 10 terms of a sequence 2,5,8,11 in sigma notation
Answers
The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29
Explanation:
You can notice that to get to the next term, you have to add 3.
So we add 3 every next term
You can rewrite the trajectory equation as y = -16(x-1)^2 + 19
Answers
I believe the answer is -16x+35
The table represents a linear function that shows the number of stamps y that a student collects after x months. Complete the table.
Answers
Answer:
24
Step-by-step explanation:
a linear function has the form: y = ax + b
According to the table: b = 5 and a = (43 − 5)/(2 − 0) = 38/2 = 19
Then our function is of the form: y = 19x + 5
Now ,we replace x by 1 in the function to get the missing value :
Missing value = 19(1) + 5 = 19 + 5 = 24.