Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of
$3225. What was the rate charged per hour by each mechanic if the sum of the two rates was $190 per hour?
haue
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Answers
The rate charged per hour by each mechanic was: x = 75 $ / hr and y = 115 $ / hr.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.
Together they charged a total of $3225.
For this case we have the following variables:
x be the amount of $ / hr that the mechanic obtains 1.
y be the amount of $ / hr obtained by mechanic 2.
An equation to express this would be:
x + y = 190
20x + 15y = 3225
Solving the system of equations we have:
20x + 15(190 -x) = 3225
20x + 2850 - 15x = 3225
5x = 375
x = 75
simililary
y = 190 - x
y = 115
Hence, the rate charged per hour by each mechanic was:
x = 75 $ / hr
y = 115 $ / hr
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Related Questions
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Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure
A'B'C'DE" using a series of two different transformations. They give two different
answers.
Answer the questions to investigate ways to transform ABCDE.
1. Olivia finds a combination of two different transformations that moves ABCDE
onto A'B'C'DE". What is one way she might have done this? (3 points)
Answers
Olivia could have used a translation and a rotation to move ABCDE onto A'B'C'DE".
What is distance?Distance in numerical measurement of how far apart to 16 places in point are in space age is often measured in unit like came miles with as for free system also can be conceptualized in the term of time as Indian distance between two points in the time.
A translation would involve shifting the figure ABCDE along some axis by a certain distance, while a rotation would involve rotating the figure ABCDE around a fixed point. By combining the two transformations, Olivia could move ABCDE onto A'B'C'DE".
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How to solve 52+ 58+ q=180 for q.
Answers
Answer:
70
Step-by-step explanation:
180 - 52 - 58 = q
q = 70
hope this helps...
Which is more, 6 ounces or
1 / 2
of a pound?
Answers
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Answer: 1/2 a pound is more, because 1/2 a pound is 8 ounces
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
1/2 of a pound.
Step-by-step explanation:
Its because 16 ounces = 1 pound, and 16/2 = 8, which is bigger than 6.
9. Which of the following could be the areas
of the three squares below?
A. 12 f12, 16 f12 and 20 f12
B. 10 f12, 18 ft2 and 30 ft2
C. 4 ft2, 5 ft2 and 12 ft2
D. 8 f12, 16 f12 and 24 ft2
Answers
Answer:
letter A po angsagot terror
How much money will you have in 6 months if you invest $1000 at 3%
compounded monthly?
A $1014.89
B. $1194.05
C. $2014.89
D. $14.05
Answers
Answer:
A
Step-by-step explanation:
I did the math, and the calculator does not lie
Which one is the answer choice ????????
Answers
f(x) = (x+8)(x-2)(x+1)
all the best.
Identify the rational numbers as positive or negative.
Answers
Answer:
Step-by-step explanation:
We have to follow these rules:
+/+ = +
-/- = +
+/- = -
-/+ = -
so
positive numbers:
+2/+3 ; -2/-3 ; -1/-3 ; +1/+3
negative numbers:
+2/-3 ; -2/+3 ; -1/+3 ; +1/-3
What is 12 divided by 3/5
Answers
Answer:
20
Step-by-step explanation:
12 / 3/5
12 / 0.6
20
Answer:
12 divided by 3/5 = 20
2. A 12ft tall painting next to a bookshelf casts a 20 foot shadow. If the
book shelf casts a shadow that is 8ft long then how tall is it?
Answers
Answer:32
Step-by-step explanation:
A water cooler has a storage capacity of 50 litres . If each student on an average consumes 750ml of water. Then how many times cooler tank has to be filled to quench the thirst of 1200 student of school
Answers
The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
We have
Number of students= 1200
Water consumption per student= 750 ml
So, Total water consumption
= Number of students × Water consumption per student
= 1200 × 750 ml
= 900000 ml
= 900 Liter
Now, the time cooler tank has to be filled to quench the thirst
= 900 / 50
= 18 times
Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
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Help math math ASAP pelass
Answers
Answer:
\(\displaystyle [0, 8]\)
Explanation:
This is an automatic give-away. If you look clocer, you will see that both equations have identical b-values of 8, telling you that both equations have identical y-intercepts. So, by definition, x is zero, which means you are left with the b-value of eight, giving you the solution to the system.
I am joyous to assist you at any time.
list seven advantages that aluminum parallel-flow plate-and-fin evaporator has over a standard round copper tube plate-and-fin evaporator.
Answers
The aluminum parallel-flow plate-and-fin evaporator has several key advantages over the standard round copper tube plate-and-fin evaporator are Lighter Weight, Improved Heat Transfer Efficiency.
An evaporator is a device used in air conditioning and refrigeration systems to remove heat from the refrigerant, which helps to cool down the air. There are two main types of evaporators: the aluminum parallel-flow plate-and-fin evaporator and the standard round copper tube plate-and-fin evaporator.
The parallel-flow design of the aluminum evaporator provides a larger surface area for heat transfer, which results in more efficient cooling. This means that less energy is required to achieve the same cooling effect.
Reduced Pressure Drop: The parallel-flow design also reduces the pressure drop in the refrigerant, which can improve the overall efficiency of the air conditioning or refrigeration system.
Aluminum is lighter than copper, which makes the aluminum evaporator easier to handle and install. This can be especially important in large air conditioning or refrigeration systems where weight and handling can be a significant concern.
Increased Durability: Aluminum is a more durable material than copper, which means that the aluminum evaporator is less likely to suffer from corrosion or other types of damage over time.
Better Resistance to Leakage: The parallel-flow design of the aluminum evaporator provides a tighter seal, which reduces the risk of refrigerant leakage. This helps to maintain the efficiency of the air conditioning or refrigeration system.
Lower Maintenance Costs: The increased durability and better resistance to leakage of the aluminum evaporator can help to lower maintenance costs over time.
Improved Environmental Performance: The improved efficiency and reduced pressure drop of the aluminum evaporator can help to lower the energy consumption of the air conditioning or refrigeration system. This can result in a reduction in greenhouse gas emissions and other environmental impacts.
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3x-30 =1.5 plz help me
Answers
Answer:
x = 10.5
Step-by-step explanation:
3x - 30 = 1.5
3x = 31.5
x = 10.5
In a taste test, each sample serving of a new drink is about 50 milliliters The drink comes in a 1 liter
bottle About how many sample servings are in a bottle?
Answers
Answer:
Step-by-step explanation:
it is 25 \(25+125=50\)
Answer:
20
Step-by-step explanation:
i had same test and got it wrong
Express the area of the shaded region in the room shown algebraically
Answers
the larger rectangles area (L) is found by multiplying base by height:
(x+3) • 2x = 2x^2 + 6x
the smaller rectangles area (S) is also found by multiplying base by height:
x • 5 = 5x
then to find the unshaded area take the largest rectangle area and subtract the smaller rectangle (L-S):
2x^2 + 6x - 5x = 2x^2 + x
answer: 2x^2 + x
Given that 58% of all gold dealers believe next year will be a good one to speculate
in South African gold coins, in a simple random sample of 150 dealers, what is the
probability that between 55% and 60% believe that it will be a good year to
speculate?
Answers
The normal distribution is a continuous probability distribution that is symmetrical around the mean. The mean in this case is 58%, and the standard deviation can be calculated using the formula:
standard deviation = sqrt( (p * (1 - p)) / n )
where p is the proportion of all gold dealers who believe that it will be a good year to speculate (58% in this case) and n is the sample size (150 in this case).
Plugging in the given values, we get:
standard deviation = sqrt( (0.58 * (1 - 0.58)) / 150 ) = 0.042
To find the probability that between 55% and 60% of the sample believe that it will be a good year to speculate, you can use a z-score table to find the z-score for 55% and 60%, and then use these z-scores to find the probability.
The z-score for 55% is (55 - 58) / 0.042 = -7.14, and the z-score for 60% is (60 - 58) / 0.042 = 2.38.
Using a z-score table, you can find that the probability of a z-score between -7.14 and 2.38 is approximately 0.45.
Therefore, the probability that between 55% and 60% of a sample of 150 gold dealers believe that it will be a good year to speculate in South African gold coins is approximately 0.45.
−12x+y=10 in slope-intercept form
Answers
Answer:
y=12x+10
Step-by-step explanation:
Slope-intercept form is y=mx+b
1. Add -12x to both sides of the equation
For each expression build a rectangle using all of tiles,....
Answers
a.
\(\begin{gathered} y^2+xy+2x+2y \\ Factor_{\text{ }}as\colon \\ (y+2)(x+y) \end{gathered}\)i) Sketch each rectangle:
ii) Find its dimensions
iii)
\(\begin{gathered} y^2+xy+2y+2x \\ \text{grouping terms:} \\ (y^2+xy)+(2y+2x)=y(y+x)+2(y+x)=(y+x)(2+y) \end{gathered}\)
The ratio of berries to oranges is 10:1. If there are 9 oranges, how many berries are there?
Answers
Answer:
90 berries
Step-by-step explanation:
What number should be added to −96 to get a sum of 9 ?
Answers
The number 105 should be added to - 96 to get a sum of 9.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now,
Let the value of number = x
So, We can formulate;
⇒ x + (-96) = 9
Solve for x;
⇒ x - 96 = 9
Add 96 both side,
⇒ x - 96 + 96 = 9 + 96
⇒ x = 105
Thus, The number 105 should be added to - 96 to get a sum of 9.
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Write the equation of this circle in standard form
Answers
Answer:
c
Step-by-step explanation:
because if you solve the problem it is equal to c
Which type of line should Allen use for the given scenario?
Allen is a civil engineer and wants to represent titles and labels in the plan. He should use _______ lines for this purpose.
Answers
Allen should use a dashed or dotted line for representing titles and labels in the plan.
Allen should use a type of line called "leader lines" for this purpose. Leader lines are used in technical drawings, engineering plans, and maps to connect a note or label with the feature being identified.
They are typically thin lines with an arrowhead or dot at one end, and the other end connects to the label or note.
Leader lines can be used to indicate dimensions, callouts, notes, or labels for specific features in the drawing or plan.
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The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass? F = 16.1m F = F equals StartFraction 16.1 Over m squared EndFraction. F = 32.2m F = F equals StartFraction 32.2 Over m squared EndFraction.
Answers
Answer:
F = 32.2mStep-by-step explanation:
According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e
F = mg where;
F is the force of gravity
m is the mass of the body
g is the proportionality constant known as the acceleration due to gravity.
If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;
F = m*32.2
F =32.2m
Hence the required equation is F = 32.2m
Use factoring to solve the polynomial equation. Check by substitution or by using a graphing utility and identifying
x-intercepts.
8x4-32x² = 0
Rewrite the equation in factored form.
(Blank)=0
Then what is the solution pair?
Answers
The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2
Using factoring to solve the polynomial equationTo solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:
8x²(x² - 4) = 0
Now we can use the difference of squares identity to factor the quadratic expression:
8x²(x + 2)(x - 2) = 0
Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.
Therefore, we can set each factor equal to zero and solve for x:
8x² = 0 or x + 2 = 0 or x - 2 = 0
Solving for x, we get:
x = 0 or x = -2 or x = 2
So the solution set for the equation is {0, -2, 2}.
To check the solution, we can substitute each value into the original equation and verify that it equals zero.
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ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale
Answers
it’s 63 because the sides are equal on both sides
Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle
Answers
Answer:
4x + 7x - 2 + 5x - 10 = 180
16x - 12 = 180
16x = 192
x = 12
m<A= 4x = 4(12) = 48
m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82
m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50
Step-by-step explanation:
.
A store sold 200 cell phone covers in April. The circle
graph shows the
percent of each color sold in that month. How many
more black covers
were sold than blue covers?
Answers
Answer:
24
Step-by-step explanation:
Given
\(Total = 200\)
From the attachment, we have:
\(Black = 35\%\)
\(Blue = 23\%\)
Required
How many more of black than blue were sold
First, calculate the difference in percentage sold
\(d = 35\% - 23\%\)
\(d = 12\%\)
Multiply by the total phones sold;
\(d * 200 = 12\% * 200\)
\(d * 200 = 24\)
Hence, 24 more blacks were sold than blue
Figure ABCD is plotted on a coordinate plane. The figure transforms to create figure A'B'CD'. Which transformation took place
Answers
Answer: The answer is a reflection transformation took place
Step-by-step explanation:
Answer:
Translation
Step-by-step explanation:
All of the points on the graph moved equally, which is a translation.
Please mark as Brainliest!!!You buy tomatoes in 25 lb cases one portion of salad requires. 75 oz of tomatoes how many portions can be made with one case
Answers
so 25 lbs = 400 oz
if each salad requires 75 oz and you have 400 oz, divide 400/75
400/75 = about 5.3
since you can’t really have a third of a salad, you will be able to make 5 FULL portions with one case
final answer: 5 portions
hope this helped!!
I need help! How do you put this into factored form?
y= 6x^2 - 11x - 7
Answers
\(6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)\)