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Zigmanuir [339]
3 years ago
8

) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer:

Quarters = 10

Dimes = 15

Step-by-step explanation:

d = number of dimes, q = number of quarters

d + q = 25 is the equation for number of coins

0.1d + 0.25q = 4 is the equation for value of coins

First, solve for d in terms of q:

d + q = 25

d = 25 - q

Then substitute that into the other equation:

0.1(25 - q) + 0.25q = 4

2.5 - 0.1q + 0.25q = 4

0.15q = 1.5

q = 10

And back to d = 25 - q, d = 25 - 10 = 15

Check the math:

0.1(15) + 10(0.25) = 1.5 + 2.5 = 4

LMK if you have questions

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In a school, 22% of the students are sixth graders. What is the probability that a randomly chosen student will not be a sixth g
svlad2 [7]
If 22% are sixth graders, then the rest must not sixths graders. 

100% of the school - 22% sixth grades = 78% are not sixths graders
8 0
3 years ago
Ron is slicing 5 pizzas each pizza slice is 1/8 of the pizza. How many pizza slices will be there in all
Goryan [66]

Answer:

there would be 40 slices of pizza

Step-by-step explanation:

If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices

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3 years ago
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Harry buys a TV priced at £1200 plus 20% VAT.
RoseWind [281]

Answer:

£ 114

Step-by-step explanation:

From the question given above, the following data were obtained:

Price of TV = £ 1200

VAT = 20%

Amount paid = £ 300

Amount paid monthly =.?

Next, we shall determine the VAT. This can be obtained as follow:

VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

VAT = £ 240

Total cost of TV =?

Total cost = Price + VAT

Total cost = 1200 + 240

Total cost = £ 1440

Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

Total cost = £ 1440

Amount paid = £ 300

Balance amount =?

Balance = Total cost – Amount paid

Balance = 1440 – 300

Balance = £ 1140

Finally, we shall determine the amount Harry will pay month.

Balance Amount = £ 1140

Number of months = 10

Amount paid monthly =.?

Amount paid monthly = Balance / number of month

Amount paid monthly = 1140 / 10

Amount paid monthly = £ 114

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4 0
2 years ago
The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. F
Gemiola [76]

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

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