Complete the solution the equation. Find the value of y when x equals 15 .

Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per

Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 - $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

$n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11$

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

$n = \frac{848.98}{77.18}$

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0

4 years ago

7 over 21 in simplist form

Yuri [45]

1 over 3 is 7 over 21 in simplist form

7 0

3 years ago

Read 2 more answers

Two computers just scanned for viruses at the same time. Computer A runs a virus scan every 2.75 days. Computer B runs a virus s

Elis [28]

Let the time taken by computer for virus scan be, 'x' days

We are given that Computer A runs a virus scan in every 2.75 days and Computer B runs a virus scan in every 3.5 days.

<h3>Amount of work done by computer A⤵️</h3>

Amount of work done in one day = $\tt\frac{1}{2.75}$

Amount of work done in x days = $\tt\frac{x}{2.75}$

<h3>Amount of work done by Computer B⤵️</h3>

Amount of work done in one day = $\tt\frac{1}{3.5}$

Amount of work done in x days = $\tt\frac{x}{3.5}$

Since, They are doing the same work the amount of work done is 1.

$\sf \: \frac{x}{2.75} + \frac{x}{3.5} = 1$

Solve for x ~

$\sf \frac{x}{ \frac{11}{4} } + \frac{x}{ \frac{7}{2} } = 1$

$\sf \frac{4x}{11} + \frac{2x}{7} = 1$

$\sf \: 28x + 22x = 77$

$\sf \: 50x = 77$

$\sf \: x = \frac{77}{50}$

$\boxed{ \bf \: x = 1.54}$

➪ <em>Thus, the time taken when both computers run a virus scan at the same time again is, 1.54 days</em>

8 0

2 years ago

Christopher has breakfast at a cafe and the cost of his meal is $36.00. Because of the service, he wants to leave a 10% tip.

Fofino [41]

The <u>cost</u> of his meal at a cafe is $36.00 and Cristofer wants to leave a <u>10% tip</u>. So to find what is his <u>total bill</u>, you have to <u>count 10% from</u> $36.00.

Note that

$36.00 -- 100%,

$x -- 10%.

Write aproportion:

$\dfrac{\$36.00}{\$x}=\dfrac{100\%}{10\%}.$

Then

$\$x=\dfrac{\$36.00\cdot 10\%}{100\%}=\$3.60.$

Therefore, the total bill consists of $36.00 for the meal and $3.60 tip:

$36.00 + $3.60 = $39.60.

Answer: $39.60

8 0

4 years ago

Read 2 more answers

Which value or values for the variable c from the set below will make 5.6 + 0.4c

konstantin123 [22]

<span>a. only 2.5
By plugging in all three values, we will find that only 2.5 will create a correct solution of the choices.
</span>5.6+0.4(2.5) < 6(2.5) True
6.6 < 15
5.6+0.4(1) < 6(1) False
6 < 6
5.6+0.4(0.875) < 6(0.875) false
5.95<5.25

4 0

3 years ago