Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2750.
What was the rate charged per hour by each mechanic if the sum of the two rates was $205 per hour?

-Whats the First mechanic: $ -----per hour

-Whats the Second mechanic: $ ---- per hour ​

Answers

Answer 1
I answer this question before this is the solution just change the total of $2750:

Two mechanics worked on a car, The first mechanic worked for 20 hours and the second mechanic worked for 5 hours together they charged a total of $1150.

Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr

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What is the vertex of f(x) = 3Ix-2I +4?

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Step-by-step explanation:

Vertex

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The graph is shifted 4 units up so therefore (2,4) is the vertex

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Answer:

-1/2

Step-by-step explanation:

Pick 2 points on the line, that are real whole numbers. I used (-3,-3) and (-1,-4)

Calculate the slope using rise over run. -4-(-3)=-1

                                                                  -3-(-1)=2

Or, after choosing the dots, you can make a triangle

The speed of a train is 90 km per hour so how much will it be in m /s .​

Answers

Answer:

90km/h in m/s will be

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Answer:

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How many time can 3/8 go into 12?

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Answer:

32

Step-by-step explanation:

This is a division problem.

12 divided by 3/8.

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Stacy is driving at a speed of 48 miles per hour. How many feet is she travelling per minute?

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48(miles/hour)*(1 mi/5280 ft)(1 hour/60 min)
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Step-by-step explanation:

A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for the population to grow to 700 organisms?

Answers

Answer:

between 1hr 30 and 1hr 45

Step-by-step explanation:

10*2=20                                 15

20*2=40                                 30

40*2=80                                 45

80*2=160                                 60

160*2=320                                 1hr 15

320*2=640                                 1hr 30

In 90 minutes the population to grow to 700 organisms.

Given that,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

We have to determine,

How long would it take for the population to grow to 700 organisms?

According to the question,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.

[tex]\rm = 10 \times 2 = 20 \ bacteria[/tex]

In 15 minutes 20 bacteria for the population to grow.

In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.

[tex]\rm = 20 \times 2 = 40 \ bacteria[/tex]

In 30 minutes 40 bacteria for the population to grow.

In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.

[tex]\rm = 40 \times 2 = 80 \ bacteria[/tex]

In 45 minutes 80 bacteria for the population to grow.

In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.

[tex]\rm = 80 \times 2 = 160 \ bacteria[/tex]

In 60 minutes 160 bacteria for the population to grow.

In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.

[tex]\rm = 160 \times 2 = 320 \ bacteria[/tex]

In 75 minutes 320 bacteria for the population to grow.

In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.

[tex]\rm = 320 \times 2 = 640 \ bacteria[/tex]

In 90 minutes 640 bacteria for the population to grow.

In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.

[tex]\rm = 640 \times 2 = 1280 \ bacteria[/tex]

In 120 minutes 1280 bacteria for the population to grow.

Hence, In 90 minutes the population to grow to 700 organisms.

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m​

Answers

Answer:

4

Step-by-step explanation:

Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.

Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.

If a function is restricted, is there no end behavior?

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Answer:

If a function is restricted, it still has an end behavior!!!

Step-by-step explanation:

Let's say we have f(x)=(x-4)^2, x≥4.

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However, just because this function is restricted doesn't mean it doesn't have an end behavior!

As we can see, the graph continues on into eternity. As a result, we can write the end behavior as:

x --> ∞, f(x) --> ∞

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Hope this helps!

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Answers

Answer:

8x2=h

Step-by-step explanation:

Answer:

8 ÷ 2 = h

Step-by-step explanation:

Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.

have a good day/night

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[tex]\sf\longmapsto x = 132[/tex]

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).


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Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Answers

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

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The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

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Answer:

9

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Answer:

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Step-by-step explanation:

Air is being pumped into a spherical balloon at the rate of 7 cm3/sec. What
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? The volume of
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Answers

Answer:

Step-by-step explanation:

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Can someone help me on this math problem please

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Answer:

  CPCTC

Step-by-step explanation:

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Answers

Answer:

x = [tex]\frac{bc}{a+2b}[/tex]

Step-by-step explanation:

x(a + b) = b(c - x) ← distribute parenthesis on both sides

ax + bx = bc - bx ( add bx to both sides )

ax + 2bx = bc ← factor out x from each term on the left side

x(a + 2b) = bc ← divide both sides by (a + 2b)

x = [tex]\frac{bc}{a+2b}[/tex]

It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?

Answers

Answer: Check explanation.

Step-by-step explanation: If Corinne did 12 pages in 3 hours, then for each hour we have 12 by 3. We get 4, which means that every 1 hour she does 4 pages of homework. Hope this helped!

Does anyone know how to do this?

Answers

Answer:

∠ GFC = 67°

Step-by-step explanation:

The sum of the 3 angles in Δ BCF = 180° , then

∠ FCB + 73° + 40° = 180°

∠ FCB + 113° = 180° ( subtract 113° from both sides )

∠ FCB = 67°

∠ GFC and ∠ FCB are alternate angles and are congruent , so

∠ GFC = 67°

Ok done. Thank to me :>

What is 29−−√?

What 2 numbers does it fall between when placed on a number line?

Question 5 options:

Between 5 - 5.5


Between 4 - 4.5


Between 4.5 - 5


Between 5.5 - 6

Answers

Between 5 - 5.5
Hope this helps.

How many solutions does this system have?
y = 2/3x + 3

2x - 3y = -9


A. one solution (what i think) ****

B. two solutions

C. no solutions

D. infinitely many solutions

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Answer:ONE solution.

Step-by-step explanation:

PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!

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Answer:

120

Step-by-step explanation:

5x6 = 30

30x4= 120



(2x + 3y)^2– (2x – 3y)^2

Answers

Hi,

(2x + 3y)² - (2x - 3y)²

(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²

= [(2x)² + 2x*3y + (3y)²] - [(2x)² - 2x*3y + (3y)²]

= (4x² + 6xy + 9y²) - (4x² - 6xy + 9y²)

= 4x² + 6xy + 9y² - 4x² + 6xy - 9y²

= 12xy

I hope it helped ✅(◠‿◕)

What is the probability that Tom, Ana, and Julio will all win if there are
four candidates chosen for four seats? There are still ten candidates
running.

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Answer:

1/30

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!! ASAPPP

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Answer:

JO !

Step-by-step explanation:

get he exponet out the way

\

that leaves you with 3+4x1

do 4x 1 that equals 4

3+ 4 = 7

Hey there!

3 + 4 × 1^2

= 3 + 4 × 1

= 3 + 4

= 7

[Jo is correct] whereas Mia is incorrect because she misunderstood the question.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line

Answers

three points would include (0,0), (6,10), (9,15) (-3,-5)

In one serving of a fruit smoothie, the ratio of the number of ounces of water to the
number of ounces of fruit is 3 to 4.
Drag the numbers into the table to show how many ounces of water and fruit are
needed for different numbers of servings.

Answers

i don’t believe you attached any pictures to this question so i don’t know exactly what kinds of different servings you want, however some examples would be

water:fruit
3:4
6:8
9:12

and such other multiples

The ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

What is a ratio?

A ratio is an ordered pair of numbers a and b.

It is written as:

a / b

where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

We have,

In one serving:

= 3/4

The ratio of ounces of water to the ounces of fruit is 3/4.

In every number of servings, the ratios must be in proportion so,

We have the following cases:

2 servings:

= 3x2 / 4x2

= 6/8

3 servings:

= 3x3 / 4x3

= 9/12

4 servings:

= 3x4 / 4x4

= 12/16

5 servings:

= 3x5 / 4x5

= 15 / 20

Thus the ratios of ounces of water and fruits for different servings are:

1 serving = 3/4

2 servings = 6/8

3 servings = 9/12

4 servings = 12/16

5 servings = 15/20

Learn more about ratios and proportions here:

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#SPJ5

Determine the quotient of 4/5 divided by 4

Answers

It would be 0.2

Mark as brainliest

Answer:

it will probably be 1/5

hope I am correct and sorry if not.

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