Sherry was in charge of distributing 25 food items

Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef

Mashutka [201]

Answer:

Mrs. Wright's paycheck is $630

Step-by-step explanation:

Let x = Mrs. Wright's paycheck.

Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9

She spent 1/3 on rent. This means that the amount spent on rent is

1/3 ×x x = x/3

Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9

= 5x/9

The remainder is her pay check - the amount that she spent on food and rent. It becomes

x - 5x/9 = (9x- 5x)/9 = 4x/9

She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.

Amount left = 4x /9 - x/9= 3x/9

She had $210 left. Therefore,

210 = 3x/9

3x = 9×210 = 1890

x = 1890/3

x = $630

3 0

2 years ago

Nisha works at a bank. In her till 35% of the notes are £5 notes, 40% are £10 notes and the rest are £20 notes. If all the £20 n

podryga [215]

Answer:

£1290

Step-by-step explanation:

35%+40%= 75%

£600=25% £600÷20=30 25%of till = 30 notes 100%=120 notes

40% of 120 =48notes 48x10=£480

90notes-48notes=42notes

42x£5=£210

£600+£480+£210=£1290

8 0

1 year ago

Liner equation Melissa and Jane are planting trees Melissa plants 10 tree in 1 hour Jane plants 17 trees in 2 hours enter an equ

levacccp [35]

Answer:

6 hours

Step-by-step explanation:

What we must do is calculate the speed of each one,

Melissa in one hour plants 10 trees, that is 10/1 is her speed.

Jane in two hours plants 17 trees, that is 17/2 is her speed.

Now, we want to know the time it takes to plant 11 trees, so the sum of the previous speeds is equal to 111 / x

10/1 + 17/2 = 111 / x

18.5 = 111 / x

x = 111 / 18.5

x = 6

Which means that in 6 hours between the two they can plant 111 trees

8 0

1 year ago

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap

Bond [772]

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

$2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2$

The co-efficient of x is the slope of the line

So,

$m= -\frac{2}{5}$

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

$y=m_1x+b$

Putting the value of slope

$y=\frac{2}{5}x+b$

Putting (-5,1) in the equation to find the value of b

$1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1$

Putting the values of slope and b in equation

$y=-\frac{2}{5}x-1$

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

$y-y_1=m(x-x_1)$

Putting the values of slope and point in the equation, we get

$y-1=-\frac{2}{5}(x+5)$

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

I buy the same chips every week and my bill is normally $90.00. Why am I now being charged $108 for the exact same items? What p

Elden [556K]

Hi there! To find the percent of change, do change/original = x/100. The amount of change means to find the distance between two numbers and the original is the previous price. 108 - 90 = 18. Plug in the values in order to get 18/90 = x/100. Cross multiply the values in order to get 1,800 = 90x. Now, divide each side by 90 to isolate the variable. When you do, you get x = 20. The store increased their prices by 20%.

8 0

2 years ago

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