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Leona [35]
2 years ago
7

The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma

ny dimes are there in the jar
Mathematics
1 answer:
lilavasa [31]2 years ago
3 0
Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)
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A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill
SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

35d+45t=300...(1)

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

6d+8t=42...(2)

6d=42-8t...(2)

Therefore, our desired system of equation will be:

35d+45t=300...(1)

6d=42-8t...(2)  


8 0
3 years ago
find the perimeter and diagonal of a square whose area is equal to the area of a rectangle whose length is 9m and breadth is 4m
aalyn [17]
Area\ of\ a\ rectangle:A_{\fbox{ }}=9m\times4m=36m^2\\\\a-side\ of\ a\ square\\\\Area\ of\ a\ square:A_{\fbox{}}=a^2\\\\A_{\fbox{ }}=A_{\fbox{}}\Rightarrow a^2=36m^2\Rightarrow a=\sqrt{36m^2}\Rightarrow a=6m\\\\Perimeter\ of\ the\ square:P=4a\Rightarrow P=4\times6m=\boxed{24m}\\\\Diagonal\ of\ the\ square:d=a\sqrt2\Rightarrow d=\boxed{6\sqrt2\ m}
4 0
3 years ago
2 numbers are such that if 7 is added to the first number, a number twice the second number is obtained. If 20 is added to the s
Eduardwww [97]

Answer:

1st= 47/7 or 6.71

2nd= 48/7 or 6.857

Step-by-step explanation:

1st number =X and 2nd number = Y

According to question, X+7=2Y

20+Y=4X

X=2Y-7 (from 1st condition)

putting in it second

20+Y=4(2Y-7)

20+Y=8Y-28

20+28=8Y-Y

48=7Y

Y=48/7

so X=2(48/7)-7

=96-49/7

47/7

5 0
3 years ago
Least common denumertor of 11/3 9/10
Alisiya [41]
30 since that’s the lowest number both 3 and 10 can fit in
8 0
2 years ago
What is the area of the circle if XY = 5.4 mm? 5.4π mm2 7.29π mm2 10.8π mm2 14.58π mm2
Dafna1 [17]

Answer: 7.29π mm²

Step-by-step explanation:

First, I am assuming XY is the diameter of the circle :)

The formula for the area of a circle is πr² (r = radius)

So that means we need to divide the diameter by 2 to find the radius

5.4 / 2 = 2.7

Now we simply plug in our numbers!

3.14 · 2.7²

3.14 · 7.29

And that's it!

Hope this helped you :)

3 0
3 years ago
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