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Rasek [7]
3 years ago
13

Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of

quarters. Write an equation in standard form that represents the situation
____x+____ y=____

Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______
Mathematics
1 answer:
Alik [6]3 years ago
8 0
Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
Therefore you have 3 dimes
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A bird's nest is 12 feet above the ground. A mole's den is 12 inches below the ground. What is the difference in height of these
zysi [14]

Answer:

13ft

Step-by-step explanation:

12in = 1ft the difference in height is 13ft

8 0
2 years ago
The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas i
andre [41]
The answer is 12.8 cm³

<span>The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p):
v = k/p
p * v = k  (k - constant)

p1v1 = k
p2v2 = k
So, p1v1 = p2v2

v1 = 24 cm</span>³
p1 = 16 lb
v2 = ?
p2 = 30 lb

24 * 16 = x * 30
384 = x * 30
x = 384 / 30
x = 12.8 cm³
3 0
3 years ago
What value of x is in the solution set of 2x – 3 &gt; 11 – 5x?
Alla [95]

2x-3>11-5x

Simplify both sides of the equation

2x-3>-5x+11

Add 5x to both sides

2x-3+5x>-5x+11+5x

7x-3>11

Add 3 to both sides

7x-3+3>11+3

7x>14

Divide both sides by 7

7x/7>14/7

x>2


I hope that's help !

5 0
3 years ago
Read 2 more answers
Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. Describe the
taurus [48]

Answer:

The distribution of sample proportion Americans who can order a meal in a foreign language is,

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

The sample size of Americans selected to disclose whether they can order a meal in a foreign language is, <em>n</em> = 200.

The sample selected is quite large.

The Central limit theorem can be applied to approximate the distribution of sample proportion.

The distribution of sample proportion is,

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})

3 0
3 years ago
What is 4 2/3 divided by 7
viktelen [127]

Answer:

0.66666666666

7 0
3 years ago
Read 2 more answers
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