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anyanavicka [17]
2 years ago
12

Vanessa earns a base salary of \$400.00$400.00dollar sign, 400, point, 00every week with an additional 5\%5%5, percentcommission

on everything she sells. Vanessa sold \$1650.00$1650.00dollar sign, 1650, point, 00 worth of items last week. What was Vanessa's total pay last week? \$\$ dollar sign, space
Mathematics
1 answer:
kifflom [539]2 years ago
5 0

Step-by-step explanation:

total pay = 400 + 1650×5/100

=482.5

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The table shows the portions of a family budget that are spent on several expenses.
Monica [59]

Answer:

  • a. 3,75
  • b. 20
  • c. 1/4

Step-by-step explanation:

<h3>Expenses.</h3>
  • Housing: 1/4
  • Food: 1/12
  • Automobiles: 1/15
  • Recreations: 1/40
<h3>Questions</h3>

a. How many times more is the expense for housing than for automobiles?

  • 1/4 : 1/15 = 1/4*15 = 15/4 = 3.75 times

b. How many times more is the expense for food than for recreation?

  • 1/2 : 1/40 = 1/2 * 40 = 40/2 = 20 times

c. The expense for automobile fuel is 1/60 of the total expenses. What fraction of the automobile expense is spent on fuel?

  • 1/60 : 1/15 = 1/60*15 = 15/60 = 1/4
5 0
2 years ago
A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov
Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

 \therefore \frac{15}{60}\ = \frac{1}{4}\  of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\  of\ the\ first\ mix\ is\ pure\ water

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\  \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\  \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water

3) and replaced it with 10 liters of water.

New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters

The final ratio of lemon juice to water:

\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

4 0
2 years ago
Evaluate 1/3 m - 1 - 1/2 n when m = 21 and n = 12
Dmitry_Shevchenko [17]

Answer:

0

Step-by-step explanation:

1/3(21)-1-1/2(12)

7-1-6=6-6=0

3 0
2 years ago
Sammie bought just enough fencing to border either a rectangular plot or a square plot, as shown. The perimeters of the plots ar
Gekata [30.6K]
Perimeter of square : p = 4a.....
p = 4(x + 2)
p = 4x + 8

perimeter of rectangle : p = 2(L + W)
p = 2(3x + 2 + x - 1)
p = 2(4x + 1)
p = 8x + 2

so if the perimeters are te same, lets set them equal to each other and solve for x

4x + 8 = 8x + 2
8 - 2 = 8x - 4x
6 = 4x
6/4 = x
1.5 = x

the square : p = 4x + 8.....p = 4(1.5) + 8.....p = 14 meters
the rectangle : p = 8x + 2....p = 8(1.5) + 2.....p = 14 meters

so she bought 14 meters of fencing <==
8 0
2 years ago
A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit
jolli1 [7]

Answer:

The chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101.  From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.  

Now I did 90·40%. I got $36

Then I did 11·40%. I got 4.4

I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.

7 0
2 years ago
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