The rate charged per hour by the first mechanic = $105,
And the rate charged per hour by the second mechanic = $110.
Use the concept of ratio defined as:
A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.
Where x and y are individual amounts of two quantities.
And, the Total quantity gives after combining as x + y.
Given that,
Two mechanics worked on a car.
The first mechanic worked for 10 hours.
The second mechanic worked for 5 hours.
Together, they charged a total of $1600.
The sum of the two rates charged per hour is $215.
Assume that,
The rate charged per hour by the first mechanic is = x dollars,
The rate charged per hour by the second mechanic is = y dollars.
The first mechanic worked for 10 hours,
The total amount earned by the first mechanic would be 10 times their hourly rate = 10x dollars.
Similarly,
The second mechanic worked for 5 hours,
The total amount earned by the second mechanic would be 5 times their hourly rate = 5y dollars.
Set up two equations based on the given information:
The first equation is the sum of the two rates, which is,
x + y = 215 ......(i)
The second equation is the total amount earned by both mechanics,
10x + 5y = 1600 .....(ii)
Use substitution to find the values of x and y:
From the first equation, we can express x in terms of y as,
x = 215 - y
Substitute this value of x into the second equation:
10(215 - y) + 5y = 1600
Expanding the equation, we get,
2150 - 10y + 5y = 1600
Combining like terms, we have:
-5y = 1600 - 2150
-5y = -550
Dividing both sides of the equation by -5, we get:
y = 110
Now that we have the value of y,
Substitute it back into the first equation to find x:
x + 110 = 215
Subtract 110 from both sides, and we get:
x = 105
Hence,
The rate charged per hour by the first mechanic is $105, & the rate charged per hour by the second mechanic is $110.
Learn more about the ratio visit:
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Answer pls
The hint part also
NEED HELP ASAP!!!!!The perimeter of a ractangle is 176 ft. If the ratio of the length to the width is 9 : 2, what is the length of each side?
(P = 2l + 2w)
P=2l+2w
l+w equals half of the perimeter
220/2=110
the ratio of the length to the width is 7:3
7x+3x=110
10x=110
x=11
7*11=77 for the length
3*11=33 for the width
A=l*w
A=77*33
A=2541 square inches for the area
maybe you are getting the formula mixed up ?!?!
find the length, width, area, and perimeter of a rectangle where the length is 5 units more than the width and the perimeter is 9 times the width
Step-by-step explanation:
L= W+5
P= 9W
P= 2L+ 2W
9W= 2(W+5) + 2W
9W= 2W +10 +2W
9W = 4W +10
5W = 10
W = 2
L=7
P= 9(2)
P= 18
A= LW
A= 7 x 2
A= 14
Find the measurement of the base.
3.5 in
Area = 12.6 in?
The weight of a newborn baby panda weights 2.2 x 10-1 pounds. If an adult panda can weigh up to 1.2103 times more than a newborn panda how many pounds does an adukt panda weigh
Answer: [tex]0.4862\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Weight of a newborn baby is [tex]2.2\times 10^{-1}\ \text{pounds}[/tex]
If an adult panda weighs up to 1.2103 times more than a newborn panda
Then weight of an adult is given by
[tex]\Rightarrow 2.2\times 10^{-1}+2.2\times 10^{-1}\times 1.2103\\\Rightarrow 2.2\times 10^{-1}+2.6626\times 10^{-1}\\\Rightarrow 0.4862\ \text{Pounds}[/tex]
2 7. Which numbers in the set {2,3,4,5} are solution(s) to the inequality 16 - 3x > 5?
A. 2 only
B. 3 only
C. 2 and 3
D.3,4, and 5
Francis is buying a new coffee table that is 45% off. The original price of the coffee table was $166. Which option gives the best estimate for the price after the discount?
A.$70
B.$85
C.$120
D.$100
Answer: D
Step-by-step explanation:
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(19x + 3)° is an exterior angle of the triangle, then
11x - 2 + 9x + 1 = 19x + 3
20x - 1 = 19x + 3 ( subtract 19x from both sides )
x - 1 = 3 ( add 1 to both sides )
x = 4
Answer in simplest from
Answer:
5 4/5
Step-by-step explanation:
Answer:
6 1/10
Step-by-step explanation:
Add 4 1/2 and 1 3/5. To add that, you need to multiply the denominators and the numerators, in this case that equals 10. So then add the fractions first 5/10+ 6/10=11/10. Since that is an improper fraction, add +1 to the hole numbers, so you answer would be 6 1/10
(Help!) I need somebody (Help!) Not just anybody (Help!) You know I need someone (Help!). Algebra question :)
Step-by-step explanation:
meetcome on (Help!) You know I need someone (Help!). Algebra question :)
Answer:
the 1st, 3rd, 6th and last one
Step-by-step explanation:
just use square roots
Help! I’ll give brainliest if I can!
Answer:
1) I can use the hours and number of packages to help solve the problem
2) I go to the number 3 and go up from there (answer 45)
3) the packages a driver can deliver in a 7 hour day is 105
4)divided 15 from 120
Step-by-step explanation:
1) question 4) you find out how much packages he deilivers in an hour
2) question 4) its 15
3) question 4) divided 10 from 120 :)
#1: Find the area of the triangle shown below.*
6 ft
14 ft
Answer:
42 Square feet
Step-by-step explanation:
A=(1/2)bh
A=(1/2)(14)(6)
A=42
1% of what number is 4?
Answer:
400.
Step-by-step explanation:
4 x 100 = 400
Which is the slope of the line that passes through the points (3,17) and (7,25)?
Answer:
The slope is 2.
Step-by-step explanation:
Please help ill make you the brainiest(please no link people)
‼️ PLEASEEE HELPPPP ‼️
Answer: answer is in the photo
Step-by-step explanation:
Answer:
x=7
Angle = 102
Step-by-step explanation:
Both angles are congruent, meaning they have the same measure.
Set your formula up as
15x-5=13x+9
15x=13x+9+5
15x-13x=9+5
2x=14
x=14/2
x=7
Now plug in 7 for x
15x-3
15*7-3
105-3
102
Simplify the expression.
12−3 ∙ 1210 ∙ 120
A: 367
B: 1
C: 17287
D: 127
Answer:
-435588
Step-by-step explanation:
12−3 ∙ 1210 ∙ 120
Multiply first
12-435600
Then subtract
-435588
Answer:
12^7
Step-by-step explanation:
I got it right in grandpoint
Please help me with all 6 questions ASAP DUE SOON AND SHOW WORK !!!!
Answer:
654 mutiply 78 plus is 28
Answer:
7. V = pi(r)^2(h)
V = pi(7)^2(20)
V = 3078.76
8. Same formula as 7.
V = 502.65
10. Same formula again
V = 62.83
11. V = 4/3*pi(r)^3
V = 4/3*pi(6)^3
V = 904.78
look at the attached question and answer it with steps and explanation pls...... best and correct answer will be marked brainliest.
Answer:
There ya go, gotta love mathaway :P
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answer:
B. 54°
Step-by-step explanation:
There are 360° in a circle and sector 4 consists of 15% of it.
We just have to multiply the 2 numbers.
15% = 0.15
0.15(360) = 54
HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.
Answer:
150% increase
what is the best choice for value y?
Answer:The answer is second option
[tex] {x}^{10 - 3} \\ {x}^{7} [/tex]
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A. 6
B. 15
C. 1
D. 2
PLEASE HELP ME I'M FALLING PLSSS
Answer:
the value of x equals 11.25°
Step-by-step explanation:
6x + 2x =90°
8x=90°
---------
x=90/8
x=11.25°
please help me out ill mark u brainlist
Answer:
a = 13
Step-by-step explanation:
Isolate the variables by dividing each side factors that do not contain the variable.
Find the area of the trapezoids. What is the Area of the trapezoids
A= Square units
Answer:
[tex]area = area \: of \: rectangle + area \: of \: triangles \\ = (6 \times 2) + ( \frac{1}{2} \times 6 \times 2) + ( \frac{1}{2} \times 6 \times 4) \\ = 12 + 6 + 12 \\ = 30 \: sq \: units[/tex]
Answer:
30
Step-by-step explanation:
can you help me with this problem please?
Answer:
PR = 2*36 = 72
SU = (1/2)54 = 27
RS = 36
Step-by-step explanation:
By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,
PR is the full side that corresponds to midpoint segment TU. Therefore it's twice the distance of TU.SU is the midpoint segment that corresponds to fill side PQ and therefore half the distance.RS is half the the length of PR since S is the midpoint.Todd bags fruit. He has
483 oranges, 822 apples,
199 pears, and 552
bananas. If he puts
8 pieces of fruit in each
bag, how many bags can
he make?
Answer:
60
Step-by-step explanation:
hope it helps!
A car salesman sold three hybrid cars last week. The cars come in red, white, and black. A sale is listed as RWB if a red car was sold first, a white
was sold second, and a black car was sold third.
A list of all possible outcomes is shown. Each outcome has equal probability.
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR,
WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB)
What is the probability that the cars sold last week included a white car or the first car sold was red?
Answer:
23 / 27
Step-by-step explanation:
Total possible outcomes :
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB) = 27
Required outcome : 23
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBW, BWR, BWW, BWB, BRW) = 23
Required outcome / Total possible outcomes
= 23 / 27
help fast please !!!!
Answer:
C=13
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\\\5^{2} +12^{2} =c^{2}[/tex]