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2 years ago

The amount a gardener gets paid is directly proportional to the number of hours it takes for him to complete the job.

Mathematics

1 answer:

astraxan [27]2 years ago

8 0

Answer:

£105

Step-by-step explanation:

The pay is proportional to the time, so working 18/12 = 3/2 times as long will gain the gardener 3/2 times the pay:

3/2 × £70 = £105

He would get paid £105 for an 18-hour job.

Here are a couple of other solution methods.

<h3>as a proportion</h3>

pay/hours = ?/(18 hours) = £70/(12 hours)

Multiplying by 18 hours, we get ...

? = £70×(18 hours)/(12 hours) = £70×(18/12)

? = £105 . . . . pay for 18 hours

He would get paid £105 for 18 hours.

<h3>as direct proportion equation</h3>

The equation for a directly proportional relationship is ...

y = kx

If we let y represent pay and x represent hours, then we have ...

70 = k(12) ⇒ k = 70/12 = 35/6

Then for 18 hours, the pay is ...

y = (35/6)x

y = (35/6)(18) = 35(3) = 105

He would get paid £105 for 18 hours.

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If a car factory checks 360 cars and 8 of them have defects, how many will have defects out of 1260?

viktelen [127]

You should expect 28 defected cars.

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3 years ago

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

svet-max [94.6K]

Answer:

100.3 units²

Step-by-step explanation:

✅Find the area of the parallelogram:

Area of Parallelogram is given as base × height

base = 10

height = 5

Area of Parallelogram = 10*5 = 50

✅Next, find the area of the two semicircles:

The two semicircles = 1 circle

Area of circle = πr²

r = 8/2 = 4

Area = π*4² = 16π = 50.3 (nearest tenth)

✅Area of figure = 50 + 50.3 = 100.3 units²

3 0

3 years ago

John took all his money from his savings account. He spent $88 on a radio and 1/4 of what was left on presents for his friends.

gayaneshka [121]

Answer:

$968

Step-by-step explanation:

x= the money John originally had in his savings account

The statement says that John spent $88 on a radio and 1/4 of what was left on presents for his friends. This means that the remaining money is 3/4 of the total amount minus the money spent on the radio:

3/4(x-88)

Then, it says that of the money remaining, John put 4/11 into a checking account and the last remaining $420 was left to charity. Since, he spent 4/11 of the remining 3/4(x-88), the remaining is 7/11 of that and that remaining is equal to $420 that was the money left at the end:

7/11(3/4(x-88))= 420

21/44(x-88)=420

21/44x-42=420

21/44x=462

x=968

According to this, the money that John originally had in his savings account was $968.

He spent $88 on a radio: 968-88= 880

1/4 of what was left on presents for his friends: 880/4= 220

880-220=660

Of the money remaining, John put 4/11 into a checking account: 660*(4/11)=240

the last remaining $420 was left to charity: 660-240= 420

6 0

3 years ago

30 + 40 = <br> 40+10=<br> 50+0=<br> 40+10=

Oliga [24]

Answer:

The easiest way to do it is to add the first digits then add the zero.

Hope that helps and have a great day!

3 0

3 years ago

Read 2 more answers

n T = 456 − 3 The equation above is used to model the relationship between the number of cups, n, of hot chocolate sold per day

Svetradugi [14.3K]

Answer:

3 represents: For every decrease of 1°F, three more cups of hot chocolate will be sold.

Step-by-step explanation:

Consider the provided equation.

$N= 456-3 T$

The relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit.

The provided equation can be written as:

$N= -3T+456$

If we observe we can find that the above model is same as the slope intercept form $y=mx+c$ . Where m is the slope.

Therefore, -3 represents the slope of the function.

The "minus" sign represents the slope of line is downward.

If we Substitute T=0 in provided equation we get N=456

That means when temperature is 0 degrees Fahrenheit the number of cups (N), of hot chocolate sold per day in a coffee shop is 456.

If we Substitute T=1 in provided equation we get N=453

If we Substitute T=-1 in provided equation we get N=459

Therefore, If we increase temperature the number of cups decreases.

Hence, the meaning of 3 in equation is: For every decrease of 1°F, three more cups of hot chocolate will be sold.

7 0

3 years ago