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ludmilkaskok [199]
3 years ago
13

You have quarters and dimes that total $2.80. your friend says it is possible that the number of quarters is 8 more than the num

ber of dimes. is your friend correct? explain. let dd represent the number of dimes.an equation that models this situation is?
Mathematics
1 answer:
ss7ja [257]3 years ago
4 0
To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D

The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.  
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3

Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.
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Matching quantities with units
Mrrafil [7]

Answer:

1. Volume = length x width x height => cubic centimetres.

2. Perimeter = 2(length) + 2(width) => metres.

3. Speed = Distance /time => metres per second.

4. Area = length x width => square metres.

Step-by-step explanation:

1. Volume = length x width x height

If the length, width and height are measured in centimetre (cm) , then, the unit of the volume will be:

Volume = cm x cm xcm = cm3 i.e cubic centimetres.

2. Perimeter = 2(length) + 2(width)

If the length and width are measured in meter (m), then, the unit of the perimeter will also be in metre (m).

3. Speed = Distance /time

If the unit of distance is measured in metre (m) and the time is measured in second (s), then , the unit of the speed will be:

Speed = Distance /time = m/s i.e metres per second.

4. Area = length x width

If the length and width are measured in metres (m), then, the unit of the area will be:

Area = m x m = m2 i.e square metres

8 0
3 years ago
78 ÷ 8 is equivalent to 78.00 ÷ 8. We can write zeros in the tenths place and hundredths place without changing the value. Use t
ahrayia [7]

Answer: 9.75

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many solutions does the following equation have?<br> 5x + 8 - 7x = -4x + 1
JulsSmile [24]
-2x + 8 = -4x + 1
- 1 -2x
7 = -6x
—
-6x


7/-6 or -7/6
3 0
3 years ago
If y varies inversely with the square of r, what is the constant of proportionality when y - 10 and 1 = 5?
Anvisha [2.4K]

<em><u>Question:</u></em>

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

<em><u>Answer:</u></em>

The constant of proportionality is 250

<em><u>Solution:</u></em>

Given that,

y varies inversely with the square of r

Which means,

y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250

Thus the constant of proportionality is 250

6 0
3 years ago
Solve<br> y=2x2-3x-1<br> y=x-3
4vir4ik [10]

Answer:

The value of x is 1 and y = -2

Step-by-step explanation:

y = 2x²- 3x - 1;

y = x - 3

2x²- 3x - 1 = x - 3

2x² - 3x - 1 - x + 3 = 0

2x² - 4x + 2 = 0

take 2 as common

2(x² - 2x + 1) = 0

x² - 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) - 1(x - 1) = 0

(x - 1) (x - 1) = 0

x - 1 = 0 or x - 1 = 0

x = 1 or x = 1

Now,

y = x - 3

y = 1 - 3

y = - 2

Thus, The value of x is 1 and y is -2

<u>-TheUnknown</u><u>Scientist</u>

4 0
2 years ago
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