Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?

Answers

Answer 1

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]

Let's divide by 5 and play with the LHS of the first equation a bit:

[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.

[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]


Related Questions

2x + 6 = 6x - 22 how many solutions does this have

Answers

Answer:

This equation has one solution.

Step-by-step explanation:

2x + 6 = 6x - 22

=> 28 = 4x

=> x = 7

This equation has one solution.

Hoped this helped.

What is the simplest form of 4 sqrt 81 x^8y^5.

Answers

See image for answer.Hope it helps.

Choose the best compatible numbers to find an estimated product or quotient.

48 × 29
A. 50 × 30 = 1,500
B. 40 × 30 = 1,200
C. 50 × 20 = 1,000
D. 50 × 25 = 1,25

Answers

A. 48 rounds up to 50 and 29 rounds up to 30.

There is currently 9 inches of snow on the ground.
With the thunderstorms today the snow will melt at
a rate of 1.5 inches per hour.

1. Write an equation to represent this situation

2. What do the slave and y-intercept mean

3. After how many hours would all the snow be melted

4. Make a table of this situation to show when all the snow would be melted

Answers

Answer:cold weather pose, there are armies that have and can conduct large-scale, ... to one inch (2.5 centimeters) per hour accumulates.

Step-by-step explanation:

Answer:

1.5 × ? = 9

9÷1.5 = 6

so the answer would be 6 hours

I need the answer please and thank you

Answers

Answer: First do 145 - 25, which is 120. Then do 120 ÷ 15 = 8. Therefore the slope intercept is y ÷ 15 = x. Their voyage will last 8 days.

Explanation: Brainliest please

Write an equation in slope-intercept form for the line passing through the two points (0,-2) and (3,0)

Answers

Answer:

y = (2/3)x - 2

Step-by-step explanation:

This problem is interesting in that both the x- and the y-intercepts are given.  The y-intercept is (0, -2), and so 'b' in 'y = mx + b' must be -2:

y = mx - 2.  The x-intercept is (3, 0), so we know that y = 0 when x = 3:

0 = m(3) - 2

This latter result must be solved for m:  3m = 2, or m = 2/3.

Then the desired equation is y = (2/3)x - 2.

Write each phrase as a numerical or algebraic expression. 189 subtracted from t

Answers

Answer:

t-189

Step-by-step explanation:

Find the measures of angles x and y in the figure.

Answers

Answer:

y = 35

x = 75

Step-by-step explanation:

Angles on a straight line = 180, so 180 - 45= 135.

Angles in a triangle = 180, so 180-105 = 75.

wich statement is true about the graphs of the two lines y=-6 and ×=1/6?
No links ​

Answers

Is it multiple choice? If so please say the the possible answers in the comments

need help urgently vvvvvvv

Answers

Make a line that goes up 3 right 4 that passes through the coordinate (2,-3)

Yw ;)

Step-by-step explanation:

you understand coordinates and how to find them in the chart, yes ?

because I can't draw here, I can only give you the points through which the line has to go.

one point is, of course, (2, -3).

to find another good point we use the slope 3/4.

the slope is the ratio of y change/x change when going from one point to another.

so, we find another point with integer coordinates by e.g subtracting the slope units from the point (addition would also work) :

the other point on the line would be

(2 - 4, -3 - 3) = (-2, -6)

and then you draw a line that goes through both points.

What is the value of this expression?

​ 1.5(−2.4+(−5.3)) ​


−11.55

−4.35

4.35

11.55

Answers

Answer:

the answer is negative 11.55

Step-by-step explanation:

-2.4+-5.3=-7.7.

7.7(1.5)=-11.55

find the square root of each by division method:
a) 225 b) 961 c) 3969 d) 10404
If you can give the correct answer first, I'll mark the brainliest.

Answers

Refer to the attachment

Answer:

[tex]\sqrt[2]{225} =15[/tex], [tex]\sqrt[2]{961} =31[/tex], [tex]\sqrt[2]{3969} =69[/tex], [tex]\sqrt[2]{10404} =102[/tex]

Step-by-step explanation:

[tex]\sqrt[2]{225} =\sqrt{15*15}=15[/tex]

[tex]\sqrt[2]{961}=\sqrt{31*31} =31[/tex]

[tex]\sqrt[2]{3969} =\sqrt{69*69} =69[/tex]

[tex]\sqrt[2]{10404} =\sqrt{102*102}=102[/tex]

help ! which of the following are the roots of the given quadratic equation ?

[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6

b. -6

c. 3

d. -3..​

Answers

Answer:

The roots are {-6, -3}

Step-by-step explanation:

We are given four possible roots.  To determine whether or not a particular possible root is actually a root, we use synthetic division.  If the remainder is zero, we may conclude that this is actually a root.

Determine whether or not -3 is a root.  Setting up synthetic division, we get

-3  /  2    18     36

              -6    -36

     ---------------------

      2       12     0

Since the remainder is zero, -3 is a root.

Try -6:  Is this a root of 2x + 12?  Setting up synthetic division, we get

-6    /    2     12

                  -12

      ----------------

          2        0

The remainder is again zero, so -6 is also a root of the original equation.

The roots are {-6, -3}

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are ~

b and d

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex]

[tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex]

[tex]2x(x + 6) + 6(x + 6) = 0[/tex]

[tex](2x + 6)(x + 6) = 0[/tex]

There's two cases here,

Case # 1 - when 2x + 6 = 0

[tex]2x + 6 = 0[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Case # 2 - when x + 6 = 0

[tex]x + 6 = 0[/tex]

[tex]x = - 6[/tex]

Hence, the roots are -3 and -6 ~

PLZ HELP ME FAST Evaluate: 2–4 =

Answers

Answer:

-2

Step-by-step explanation:

Answer:

This is negative 2

or

-2

Step-by-step explanation:

46.8g of sugar is needed to make 6 cakes. How much sugar is needed for 11 cakes?

Answers

The answer would be 85.8

Answer:

85.8g of sugar

Step-by-step explanation:

It will be 85.8g.

Your welcome.

Find the surface area! Please I need it quick

Answers

Step-by-step explanation:

We first find the area of a trapezium and rectangular faceFourmula to find the are of a trapezium is:Area=1/2*(B+b)*h =1/2*3.7*1.9 =3.515m²Since every rectangular face is different we gotta find each of them

Area1=4.8*2.1 =10.08 m²Area2=4.8*1.4=6.72m²Area3=4.8*2.3=11.05m²Area4=4.8*1.9=9.12m²

Now we find the area of the whole prismArea=3.515*2+10.08+6.72+11.05+9.12Area=44m²

Sorry my wireless went down!!!Hope this helps and you already know what I would like to get

Where does the graph of y= sin x from x= 0 to x= 217 start?
O A.
at its minimum
O B.
at an x-intercept
O C.
at its maximum
OD.
between an x-intercept and its maximum

Answers

Answer:

at an x intercept

Step-by-step explanation:

You need to calculate sin 0 = 0. Which means it's crossing (or at least touching) the x axis.

Anyone got any ideas?

Answers

Answer: 36

Step-by-step explanation:

AB = 16 cm

BC = CA = 10 cm

so it's 16 + 10 + 10 = 36

36 is ur answer sorry if wrong

I need help on two questions here’s the first one!



Antawn wrote a decimal. The value of the 8 in Antawn’s decimal is equal to 8 x 1/10. Which of the following numbers could be Antawn’s decimal?

A. 86.05
B. 68.05
C. 60.85
D. 60.58

Here’s the second question!

Brooklyn rode her bike a total of 75.8 miles in 3 days. She rode 25.2 miles on Friday and 16.9 miles on Saturday. How many miles does she ride her bike on Sunday?

A. 33.7
B. 34.7
C. 42.1
D. 117.9

Answers

Answer:

these are what I ythink the answers are

1) C

2)A

For 1. the answer is B

hent "three squared times the sum of five and seven".

Answers

Answer:180

Step-by-step explanation:

16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.

Answers

Answer:

a)it is a 45 degree angle

b) Enzo saves 8 minutes if he takes the shortcut

Step-by-step explanation:

a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .

b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h

you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each

2.4 km=length of Rutherford and Orchard together

shortcut is 2 km

divide 2.4 by 0.4 or .4 and you get 6  

so if it takes him 20 min on the shortcut it should save him 8 minutes.

Use cross multiplication to figure this out. (What does xy = )
.78x/7 = 19/4y

Answers

Answer:

xy = 42.6282051282...

Step-by-step explanation:

0.78x/7 = 19/4y

0.78x * 4y = 3.12xy

19 * 7 = 133

3.12xy = 133

3.12xy/3.12 = 133/3.12

xy = 42.6282051282...

URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

I don't think soo that it make a function

No, as the graph fails the verticals line test

So the answer is A

7

Use synthetic division to divide and write the quotient.

(9x² + 22 x - 15)+(x+3)

Answers

Answer:
9x^2+23x−12

Hope this Helps!

hello guys I need help, the things in parenthesis is just me talking) Your friend writes 0.86 as a percent. 0.86 = 00.86=0.0086% 86 Is your friend correct? (picked no) Explain your reason ( I don't know how to explain it)​

Answers

Answer:

0.86 as a percent is 86%.

Step-by-step explanation:

Have a great rest of your day

#Nova

P.S

give the braineist to the other person pls

I NEED TO FINISH THESE BY NEXT WEEK

Answers

Answer:

Multiply both sides by 6:  4x - 42 = 5

Step-by-step explanation:

(2/3)x - 7 = (5/6)

Multiply both sides by 6:  

6*(2/3)x - 6*7 = 6*(5/6)

(12/3)x - 42 = 5

4x - 42 = 5

How do I know which region to shade for this inequality
y ≤ 2x + -4?

Answers

Answer:

You look at the sign between y and 2x

Step-by-step explanation:

To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)

Hopefully it does help though!!

what is the pathgoren therem

Answers

a^2 + b^2=c^2 Pythagorean theorem the well-known geometric theorem the the sun of the square on the legs of a right triangle is equal to a square on the hypotenuse

what is the solution to the equation 1/2a=7

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the answer to 4y/y?

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{4y}{y}[/tex] = 4 because the variable y on the numerator and the denominator can cancel out.

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