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Ede4ka [16]
3 years ago
5

A piggy bank contains a total of 84 coins in nickels and quarters worth $12.80.

Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Let's make a system of equations to solve for this:

n + q = 84

0.05n + 0.25q = 12.80

where n = nickels and q = quarters.

---

Solve for n in the first equation by subtracting q from both sides.

n = 84 - q

---

Plug n into the second equation.

0.05(84 - q) + 0.25q = 12.80

Distribute 0.05 inside the parentheses.

4.2 - 0.05q + 0.25q = 12.80

Combine like terms.

4.2 + 0.2q = 12.80

Subtract 4.2 from both sides.

0.2q = 8.6

Divide both sides by 0.2.

q = 43

---

Plug 43 for q in the first equation.

n + (43) = 84

Subtract 43 from both sides.

n = 41

---

There are 41 nickels and 43 quarters in the piggy bank. ✅

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Three of these fractions are equivalent: B. 12 C . 21 D. 74 30 A. . 70 Which one is the odd one out?
IrinaVladis [17]

Answer:

12/30

Step-by-step explanation:

Here is the complete question

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

to determine the equivalent fractions, convert the fractions to percentage

\frac{30}{70} × 100 = 42.86%

\frac{12}{30} × 100 = 40%

\frac{9}{21} × 100 = 42.86%

\frac{6}{14} x 100 = 42.86%

Another method is to convert the fraction to its simplest form

30/70

To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7

12/30

To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5

9/21

To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7

Using either methods, 12/30 is the odd one out  

4 0
3 years ago
I need help with what is 0.09 1/10th of? I would like some one to tell me how I calculate this so I may use it for future math p
Gemiola [76]
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5 0
3 years ago
8. Caitlyn wants to build a fence around her flower garden,
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Answer:

B

Step-by-step explanation:

5 0
3 years ago
What is the difference of polynomials (8r6s3-9r5s4+3r4s5)-(2r4s-5r6-4r5s4)
Alinara [238K]
If you would like to solve <span>(8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4), you can do this using the following steps:

</span>(8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4) = 8r^6s^3 – 9r^5s^4 + 3r^4s^5 – 2r^4s^5 + 5r^3s^6 + 4r^5s^4 = 8r^6s^3 – 5r^5s^4 + r^4s^5<span> + 5r^3s^6
</span>
The correct result would be 8r^6s^3 – 5r^5s^4 + r^4s^5<span> + 5r^3s^6.</span>
7 0
3 years ago
Whats the quotient of<br><br> -8 divided by 2
malfutka [58]

Answer:

-4

Step-by-step explanation:

Dividing by two is the same as splitting in half. Half of -8 is -4

8 0
3 years ago
Read 2 more answers
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