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Pavlova-9 [17]
3 years ago
14

:( I Need help! Show work please! Aviva has a total of 52 coins, all of which are either dimes or nickels. The total value of th

e coins is $4.70. Find the number of each type of coin.
Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

42 Dimes, 10 Nickels.

Step-by-step explanation:

Dimes are worth $0.10, nickels are worth $0.05.

If D = number of dimes, and N = number of nickels, then the following equations are true:

0.10D + 0.05N = 4.70

D + N = 52

Next, let's multiply the first equation by 10 so that we can subtract the second one from it.

D + 0.50N = 47

(-) D + N = 52

Subtracting the second equation from the first one gives:

-0.5N = -5

-0.5N/-0.5 = -5/-0.5

N = 10

Finally, substitute N in the original second equation to find D.

D + 10 = 52

D + 10 - 10 = 52 - 10

D = 42

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If you can help please do! Thank you!
Aleks [24]

Answer:

see explanation

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , then

CO = OA = b

DO = OB = a

(a)

CA = CO + OA = b + b = 2b

(b)

DC = DO + OC = a - b

(c)

CB = CO + OB = b + a = a + b

7 0
3 years ago
Tracy had a bag of candies, and none of the candies could be broken into pieces. She ate $\frac{1}{3}$ of them and then gave $\f
Ymorist [56]

Answer:

72

Step-by-step explanation:

Let the number of candies = n

Tracy ate = 1/3 of n = n/3 remaining 2n / 3

she gave 1/4 of the remainder to her friend = 1/4 of ( n - n/3) = 2n / 12

the new remainder = (2n / 3) - (2n / 12) = n /2

she and her mom then ate altogether = 30

and the brother took from 1 to five, the number he took = x

and she has 3 left

( n/2) - 30 - x = 3

n = 2 ( 33 + x)

now we know that the candies could not be broken  and x is between 1 to 5

n = 2 (33 + 1), 2 (33+2), 2(33 +3), 2 (33+ 4) and 2 (33 + 5) this are the possible values of n, ( 68, 70, 72, 74, 76) and the multiple of 3 is 72

n therefore = 72

7 0
3 years ago
Your store Brown stock in 1 gallon batch is one serving of rice grains require 1.5 cups of brown stock how many servings of gree
sladkih [1.3K]

The number of servings of greens that can be made with one batch of route stock is 0.67 batches.

<h3>Conversion of gallons to cups</h3>

In order to determine the answer, the first step is to convert gallons to cups

1 gallon = 16 cups

<h3>Number of  servings of greens that can be made</h3>

The second step is to divide 16 cups by 1.5 cups.

16 / 1.5 = 10.67 batches

To learn more about division, please check: brainly.com/question/194007

3 0
2 years ago
2 fractions between 3/5 and 4/5
Tasya [4]
Convert the fractions to decimals:

3/5=0.6
4/5=0.8

You have to find 2 fractions between these 2 numbers. You could pick anything.

7/10= 0.7 = less than 0.8 but greater than 0.6

75/100=0.75 = less than 0.8 but greater than 0.6

Hope this helps

3 0
3 years ago
(30 POINTS AND BRAINLIEST) Show all work to solve 3x^2 + 5x − 2 = 0.
Dahasolnce [82]

Answer:

The answer to your question is:    (x + 2)(3x - 1) = 0

x1 = -2

x2 = 1/3

Step-by-step explanation:

                                           3x² + 5x − 2 = 0

Multiply 3 x -2 = -6

Find two numbers that added = +5 and multiply -6

These numbers are +6  and -1

Then:

                                           3x² + 6x -1x − 2 = 0

Factorize                           3x (x + 2) - 1(x + 2) = 0

Factorize again                (x + 2)(3x - 1) = 0

Finally

                         x + 2 = 0               3x - 1 = 0

                         x = -2                     x = 1/3

                                                   

5 0
3 years ago
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