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1 year ago

Susan and Jim own a lawn care business. The amount Susan charges for a lawn care by the hour is shown in the table.

Mathematics

1 answer:

MrRa [10]1 year ago

8 0

Let's assume that Susan's graph is linear. Then, we can do linear interpolation. Let y be the amount charged for 10 hours of work done:

(7-10)/(7-11) = (168-y)/(168-264)
y = $240

For Jim's Lawn care, let's find the constant slope using points (1,20) and (2,40):

m = (20 - 40)/(1-2) = 20
Then, since the y-intercept is zero, the linear equation is:
y = 20x
Substituting x = 10 hours,
y = 20(10) = $200

The difference between the two would then be:
Difference = $240 - $200 = $40

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Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.

Zigmanuir [339]

Answer:

Step-by-step explanation:

Recommended for housing: 30%

X/100 = 612/1700

= 36%

Recommended for food: 10%

X/100 = 238/1700

= 14%

Recommended for transportation 15%

X/100 = 370/1700

= 21.8%

6 0

1 year ago

A newspaper vendor sells three papers to 135 customers, the papers are the daily times, the observer and the new Nigeria. 70 cus

IRINA_888 [86]

Answer:

3 customers brought all the three papers.

Step-by-step explanation:

Let, D, O and N represents the three newspapers.

D = The daily times

O = The observer

N = The new Nigeria.

According to the given information,

$n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50$

$n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16$

We know that,

$n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)$

Using this formula, we get

$n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)$

$135 =70+60+50-17-15-16 +n(D\cap O\cap N)$

$135 =132+n(D\cap O\cap N)$

$135 -132=n(D\cap O\cap N)$

$3=n(D\cap O\cap N)$

Therefore, 3 customers brought all the three papers.

5 0

1 year ago

The half life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for the drug to decay to 86% of th

nata0808 [166]

Answer:

8.1 hours

Step-by-step explanation:

A model of the fraction remaining can be ...

f = (1/2)^(t/37) . . . . t in hours

So, for the fraction remaining being 86%, we can solve for t using ...

0.86 = 0.5^(t/37)

log(0.86) = (t/37)log(0.5)

t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours

It takes about 8.1 hours to decay to 86% of the original concentration.

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1 year ago

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is

ryzh [129]

Answer:

The correct answer is C.

Step-by-step explanation:

I took the test

8 0

1 year ago

Read 2 more answers

Jeremiah and Tristan work at a dry cleaners ironing shirts. Jeremiah can iron 35 shirts per hour, and Tristan can iron 20 shirts

laiz [17]

The number of hours Jeremiah ironed = 10 hours

The number of hours Tristan ironed = 7 hours

Step-by-step explanation:

Jeremiah can iron = 35 shirts per hour
Tristan can iron = 20 shirts per hour
Total work done by both = 490 shirts

Let 'x' be the number of hours Jeremiah ironed.

Let 'y' be the number of hours Tristan ironed.

x+y = 17 ------(1)

35x + 20y = 490 -------(2)

Multiply (1) by 20 and subtract (2) from (1),

20x + 20y = 340

-(35x + 20y = 490)

-15x = -150

x = 150/15

x = 10

Substitute x=10 in (1)

10+y = 17

y = 7

5 0

1 year ago