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Troyanec [42]
3 years ago
13

A bag contains 24 coins. Some of these are 10 cent coins and all of the others are 5 cent coins.

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Step-by-step explanation:

i don't know rnerjarhdycsayhd

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ANSWER ASAP PLEASE!!!
Thepotemich [5.8K]

area of triangle = 1/2(3)(4) = 6 in^2

area of rectangle = 3 x 10 = 30 in^2

area of trapezoid = 1/2(3+5)(2) = 8 in^2


area of the figure: 6 in^2 + 30 in^2 + 8 in^2 = 44 in^2


answer

44 in^2

3 0
3 years ago
Read 2 more answers
Please help as soon as possible
MAVERICK [17]

Answer: Your Answer is: -8/17

7 0
3 years ago
A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the
Kay [80]

Answer:  The required number of quarters in the collection is 11.

Step-by-step explanation:  Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05,   1 dime = $ 0.10   and    1 quarter = $0.25.

Then, according to the given information, we have

x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)

and

y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Comparing the values of y from equations (iv) and (v), we get

47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.

Thus, the required number of quarters in the collection is 11.

7 0
3 years ago
Martha has 8 cubic feet ofputting soil in the three flowerpots she wants to put the same amount of soil in each pot how many cub
frozen [14]

Answer:

2\frac{2}{3}\text{ ft}^3\approx 2.67\text{ ft}^3

Step-by-step explanation:

We have been given that Martha has 8 cubic feet of putting soil in the 3 flowerpots. She wants to put the same amount of soil in each pot.

To find the amount of soil in each pot, we need to divide total soil (8 cubic feet) by number of pots (3) as shown below:

\text{Amount of soil in each pot}=\frac{8\text{ ft}^3}{3}

\text{Amount of soil in each pot}=2\frac{2}{3}\text{ ft}^3

\text{Amount of soil in each pot}=2.6666\text{ ft}^3

\text{Amount of soil in each pot}\approx 2.67\text{ ft}^3

Therefore, Martha needs to put approximately 2.67 cubic feet of soil in each flower pot.

8 0
3 years ago
A garden table and a bench cost $672 combined. The garden table costs $78 less than the bench. What is the cost of the bench?
KonstantinChe [14]

Answer:

b = $375

Step-by-step explanation:

b = cost of the bench

t = cost of the table

t = b - 78

b + b - 78 = 672

2b = 750

b = $375

7 0
3 years ago
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