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3 years ago

A piggy bank contains 35 coins.

Mathematics

1 answer:

stiks02 [169]3 years ago

8 0

Answer:

See below.

Step-by-step explanation:

Let d = number of dimes. Let q = number of quarters.

d + q = 35

A dime is worth 10 cents, or $0.1; d dimes are worth 0.1d.

A quarter is worth 25 cents, or $0.25; q quarters are worth 0.25q.

0.1d + 0.25q = 4.9

The system of equation is

d + q = 35

0.1d + 0.25q = 4.9

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Kryger [21]

Answer:

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Step-by-step explanation:

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3 years ago

Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3><u>Option 1</u></h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3><u>Option 2</u></h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

<u>Solution 1</u>

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

$\implies k=-\dfrac{6}{13}$

<u>Solution 2</u>

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

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2 years ago

You earn $5 for every friendship bracelet you sell. Write and solve an equation to find the numbers of bracelets you have to sel

swat32

$85 ÷ 5 = 17

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3 years ago

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mrs_skeptik [129]

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3 years ago

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svp [43]

Given:
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3 0

3 years ago

Read 2 more answers