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3 years ago

Sarah has three more than four times the money that Jessica has. Together they have $72. How

Mathematics

1 answer:

hoa [83]3 years ago

3 0

Answer:

Jessica has $13,80 and Sarah has $58.20.

Step-by-step explanation:

Let j be the amount of money that Jessica has.

Let s be the amount of money that Sarah has.

s + j = 72

Since Sarah has 3 more than 4 times what Jessica has...

s = 4j + 3

So 4j + 3 + j = 72

5j = 69

j = 13.8

So Jessica has $13,80.

Therefore Sarah has $58.20.

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On Monday billy spent 4 1/4 hours studying.On Tuesday he spent another 3 5/9 hours studying what is the combined time he spent s

Amanda [17]

Answer:

$7\frac{29}{36}\ hours$

Step-by-step explanation:

Given:

Time spent on Monday (M) = $4\frac{1}{4}\ hours$

Time spent on Tuesday (T) = $3\frac{5}{9}\ hours$

Now, the total combined time spent on study is equal to the sum of the times spent on Monday and Tuesday.

So, we need to add both the times to get the combined time spent on studying.

The combined study time is given as:

Total time spent = Time spent on Monday + Time spent on Tuesday

$Total\ time=4\frac{1}{4}+3\frac{5}{9}\\\\Total\ time = \frac{4\times 4+1}{4}+\frac{3\times 9+5}{9}\\\\Total\ time = \frac{17}{4}+\frac{32}{9}\\\\\textrm{Taking LCD of 9 and 4 as 36, we get:}\\\\Total\ time = \frac{17\times 9}{4\times 9}+\frac{32\times 4}{9\times 4}\\\\Total\ time = \frac{153}{36}+\frac{128}{36}\\\\\textrm{Since the denominators are same, we add the numerators.}\\\\Total\ time = \frac{153+128}{36}\\\\Total\ time = \frac{281}{36}\ hours$

Divide 281 by 36. The quotient is the whole number part, the remainder is the numerator part and the denominator remains the same.

So, on dividing, we get 7 as quotient and 29 as remainder. So, converting to mixed fractions, we get:

$Total\ time = 7\frac{29}{36}\ hours$

Therefore, the the combined time he spent studying is $7\frac{29}{36}\ hours$

6 0

4 years ago

Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.Who earns more money per hour? How

Fantom [35]

Answer:

Danielle earns $1.20 more than Mackenzie (per hour)

Step-by-step explanation:

To find out how much money per hour each person earns, you would divide the earinings by the number of hours;

Danielle: $36.80/4 = $9.20 per hour

MackKenzie: $50.40/6 = $8.40 per hour

To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;

9.40 - 8.20 = $1.20

Thus, Danielle earns $1.20 more than Mackenzie per hour.

6 0

3 years ago

X2 – 6 3x + 10 ? g(4) = Be sure to simplify your answer. g(x) =

Triss [41]

5/11

((4)^2 - 6) / 3(4)+10
16 - 6 / 12 + 10
10/22 we can simplify this further
10 divided by 2
22 divided by 2

You get 5/11 which is the same as 10/22

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2 years ago

What is a wvgsa test? and how can I study

Dvinal [7]

Answer:

http://wv.portal.airast.org/training-tests.stml

Step-by-step explanation:

copy this link into your url search that should help.

4 0

3 years ago

Use the table and the graph to answer the questions.

NeX [460]

A) Function A (table): rate of change = 2.5/1 = 2.5

Function B (graph): rate of change= -4/1 = -4

You should use change in y over change in x for the table

For the graph: move 4 down to get to the center (0,0) =-4 and then the same for -1 to 0

b) Function A should have a greater rate of change

**I hope this is right!

4 0

3 years ago