Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per hour is less than the amount Hamish earns per hour. How much does each of them earn per hour?

Answers

Answer 1

Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the  amount Harry earns 

y is the amount Hamish earns 

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y =  (26-1)*4/5

y = 20

the answer is

Harry earns $26 an hourHamish earns  $20 an hour

Related Questions

Which function has the greater slope and what does it indicate?

Answers

Answer:

The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.

OR B on edge

Step-by-step explanation:

The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is increasing at a faster rate than the cost per pound of broccoli.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

First, Slope for Broccoli

Slope = (3.6 - 3) / (3 - 2.5)

Slope = 0.6 / 0.5

Slope = 1.2

Second, Slope for Cauliflower

slope = (4.50 - 2.75) / (4.5 - 2.75)

= 1.75 / 1.75

= 1.000

Since the slope of the cauliflower function (1.0000) is greater than the slope of the broccoli function (0.8364), we can conclude that the cauliflower function has the greater slope.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ3

What is the value of x

Answers

Answer:

x=8 cm

Step-by-step explanation:

a + b2 = c2

6 squared  + b = 10 squared

36 + b = 100

b=100-36

b=64 squared = 8

Answer:

The answer is 8.

6 squared plus b is equal to 100 squared, and all you have to do is simplify the equation nd find the square root of the answer.

I need help! Algebra 2 homework and please explain the work :) (Part 2)

Answers

Answer:

3. 1/28

4. About 7.11%

Step-by-step explanation:

3.

Since two of the eight ads are by a local retailer, the probability of picking either one once is 2/8=1/4. However, the second time, since on of the ads has already been used and there are a total of 7 left, the new probability is 1/7. Multiplying these two together, you get 1/4*1/7=1/28.

4.

To find the probability, you need to find the area of the smaller triangle and the rest. The formula for the area of an equilateral triangle is [tex]\frac{\sqrt{3}}{4}a^2[/tex], meaning that the area of the big triangle is [tex]56.25\sqrt{3}[/tex] and the area of the little triangle is [tex]4\sqrt{3}[/tex]. [tex]\frac{4\sqrt{3}}{56.25\sqrt{3}}\approx 7.11\%[/tex]. Hope this helps!

6th GRADE MATH:
Noah bought 2.5 kilograms of colored tile chips for a mosaic art project. What is the mass of the chips in grams?

Answers

2,500

Kilo means a thousand so you multiply the 2.5 by 1,000

Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

x2 +8x+16=0 in factoring algorithm

Answers

Answer:

(x+4)^2 =0

Step-by-step explanation:

x2 +8x+16=0

What 2 numbers multiply to 16 and add to 8

4*4 = 16

4+4 =8

(x+4) (x+4) =0

(x+4)^2 =0

2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
help i need this what is it

Answers

Answer:

98

Step-by-step explanation:

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

96?

Step-by-step explanation:

i guessed i mean it has to be greater than 95 and less than 100

OK THIS IS THE LASTT ONE!!!

Answers

The mean for suspensions is 6.

A coin has heads on one side and tails on the other. The coin is tossed 12 times and lands heads 4 times. Which best describes what happens when the number of trials increases significantly.

Answers

Quick question: Is this a multiple choice question and if so, may you provide the multiple choice answers before I give you a proper answer?

I need someone to answer this as fast as possible

Answers

Answer:

4/8+1/8=5/8

Step-by-step explanation:

Answer:

4/8 + 1/8 = 5/8

Step-by-step explanation:

To be able to add these two fractions, we first need to get a common base. So we can multiply 1/2 by 4 so its base will be 8. When we multiply one part of the fraction, we also need to multiply the top so 4 times 1 equals 4. So 1/2 is changed to 4/8, which we can add to 1/8 and then we get 5/8!

The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the angle x

Answers

Answer:

x is 31.5°

Step-by-step explanation:

Here, we have each interior angle of a regular octagon = 135°

Each interior angle of a regular pentagon = 108°

Therefore, 135° + 108° + ∡B = 360°

Hence, ∡B = 360° - (135° + 108°) = 117°

Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))

Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB  from which we have;

∡x + ∡CFB + 117° = 180°

∴  ∡x + ∡CFB = 180° - 117° = 63°

Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives

2·∡x = 63°

Hence, ∡x = 63°/2 = 31.5°

∡x = 31.5°.

A Wallace's giant bee is 1 1/2 inches long. If this bee is four times longer than a worker bee, how
long is the worker bee?
3/8 in.
1/3 in.
1/8 in.
3/10 in.

Answers

Answer:

3/8 in.

Step-by-step explanation:

If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.

At a bake sale, there are 50 chocolate cupcakes and 30 vanilla cupcakes. Of these cupcakes, 15 chocolate and 5 vanilla have cream filling. What percentage of the cupcakes have cream filling?

Answers

Answer:

25%

Step-by-step explanation:

50+30 = 80

15 + 5 = 20

20/80 = 0.25, or 25%

Answer:

25% of cupcakes have cream filling

Step-by-step explanation:

15+5=20

50+30=80

20÷80=0.25

0.25×100=25

Circle P has a circumference of approximately 75 inches.

What is the approximate length of the radius, r? Use 3.14 for . Round to the nearest inch.

a
38 inches
b
24 inches
c
12 inches
d
46 inches

Answers

Answer:

C 12 inches

Step-by-step explanation:

you get the circumference formula C = 2 *pi *r

then divide 2 from 75 and then pi and then you get your radius

i hope this helped<3

Step-by-step explanation:

a 38 inches

The radius is half of the circumference.

Now lets figure out what we know.

1.Our circumference is 75 inches

We would have to divide 75 by two to get it in half.

75÷2=37.5

Now we round to the nearest inch.

And our answer is 38 inches (A)

IM DOIGN A MATH TEST AND I NEED HELP RN

In Circle P, DB and AC are diameters. The measure of angle APD is 50 degrees and PB = 9 cm.

Find the length of arc DC.



Answers

Answer:

its 43

Step-by-step explanation:

i had a test with the same question, i promise its right :)

HELLLPPP PLEASE WILL GIVE BRAINLIEST ​

Answers

Answer:

-3

Step-by-step explanation:

Convert every fraction to an improper fraction just to make it easier.

43/10 - (12/5x + 11/2) = 1/2 (-18/5x + 6/10)

Distribute.

= 43/10 -12/5x - 11/2 = -18/10x + 6/10

Simplify using the common denominator, which is 10.

43/10 - 24/10x - 55/10 = -18/10 + 6/10

Isolate the x.

-24/10x + 18/10 = -43/10 + 55/10 + 6/10

Simplify.

-6/10x = 18/10

Multiply by the reciprocal (basically dividing fractions)

18/10 x -10/6

= -3

Answer:

x= -3

Step-by-step explanation:

43/10-12/5x-11/2=9/5x+3/5

-6/5=12/5x=-9/5x+3/5

-6-12x=-9x+3

-3x=9

x=-3

please help i mark brainliest... Students in Mrs. Walsh’s math class wanted to know the favorite snacks of students in the school. How could they generate a random sample to survey?



Line up the students by height and choose the first 20 students



Use the school roster and randomly choose 50 boys.



Obtain an alphabetized list of all the students in the school and select every seventh student.



Place all the names of the students in Mrs. Walsh's math class in a hat and randomly select 10 students.

Answers

Answer:

Step-by-step explanation:

Yes, because the sample is random. If she had chosen the participants in any way other than randomly, it would not be representative of her entire school.

In a tiny house, an empty hot water heater requires 40 gallons of water. It takes 18 minutes to fill the hot water heater. Assuming a constant rate of flow, find the rate at which water flows into the tank. Express your answer to the nearest tenth of a gallon per minute. *

Answers

Answer:

A constant rate of flow, that would be 40/18 = 2.2 gallon per minute

Hope this helps!

:)

Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?

Answers

Answer:

She sold $1,711 in make-up.

Step-by-step explanation:

She sold x.

For the first $500, she gets 18% = 0.18.

For the balance(x - 500), she gets 22% = 0.22.

So her total earnings can be modeled by the following equation:

[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]

[tex]E = 90 + 0.22*(x - 500)[/tex]

She made $356.42 in commission. How much did she sell in make-up?

So

[tex]356.42 = 90 + 0.22*(x - 500)[/tex]

[tex]90 + 0.22x - 110 = 356.42[/tex]

[tex]0.22x = 356.42 + 20[/tex]

[tex]x = \frac{376.42}{0.22}[/tex]

[tex]x = 1711[/tex]

She sold $1,711 in make-up.

help me fill this out thanks

Answers

Answer:

multiply

Step-by-step explanation:

Answer:

[tex]c = 4 \sqrt{3} [/tex]

[tex] \\ [/tex]

Step-by-step explanation:

[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]

What value does the 3 represent n the number 16.344 ?

Answers

Answer:

Three hundred

Step-by-step explanation:

Because the whole number is sixteen thousand THREE HUNDRED forty four

1 ½ miles in ¾ hour
find the unit rate

Answers

Answer:

Unit rate = 2 mph

Step-by-step explanation:

Distance travelled = 1½ miles = [tex] \frac{3}{2} [/tex] miles

Time taken = ¾ hours

[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)[/tex]

If two pyramids have the same heights what must be true of the pyramids for them to also have the same volume

Answers

Answer:

It is possible, but you must first measure the width.

Step-by-step explanation:

It is possible, but you must be sure.

Answer:

they whould need diffrent width and length

Step-by-step explanation:

imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter

x y 3 12 5 20 6 24 8 32 The table shows a proportional relationship between x and y. What is the unit rate of y per x? A) 1 B) 2 C) 3 D) 4

Answers

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation:

Your very helpful my dude

Answers

Answer:

Angle 1 or Angle 3

Step-by-step explanation:

They are the only two that are immediately next to angle 2

Answer:

angle 1

Step-by-step explanation:

What is the slope of the line with the equation:

6x + 2y = 8

Answers

Answer:

Using the slope-intercept form, the slope is 3 .

Step-by-step explanation:

The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups

Answers

Answer:

Step-by-step explanation:

The answer is There are 3 gallons

what is the median of this data set? 14,16,18,21,34,60

Answers

Answer:

19.5

Step-by-step explanation:

there are two middle values in this data set so you have to add and divide them. 18+21=39

39/2= 19.5

hope this helps ! :)

Answer:

19.5

Step-by-step explanation:

middle is 18 and 21 so we need to take the average of these  2 numbers

18+21=39

39/2=19.5

-4x-y=24
Whats the missing value in the solution to the equation.
(__,8)

Answers

Answer: -8

Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.

                                             -4x - 8 = 24

                                             -4x - 8 + 8 = 24 + 8

                                             -4x = 32

                                             -4x/-4 = 32/-4

                                              x = -8

                                           

                                             

Fenyang got 666 rabbits to raise on his farm. From the following month forward, the rabbit population doubled every month.

Answers

Answer:

geometric sequence

Step-by-step explanation:

In Circle T, TM is a radius. If TM=14.5, find CD. Find the diameter.

Answers

Answer:

29

Step-by-step explanation:

multiply by 2

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