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Oksana_A [137]
3 years ago
8

John bought a pair of basketball shoes for $70. The sales tax on the shoes was $5.60. Which represents the sales tax rate?

Mathematics
2 answers:
klio [65]3 years ago
7 0

Answer:

8%

Step-by-step explanation:

Divide 5.60 by 70 to find what percent of 70 it is:

5.60/70

= 0.08

So, this is 8% of 70

That means the sales tax rate was 8%

lisabon 2012 [21]3 years ago
5 0
8%

$5.60 x 100/ 70 = 8
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High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton
Mamont248 [21]

Answer:

361\dfrac{1}{9} tons of high steel and 138\dfrac{8}{9} tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

0.85x tons of iron

0.15x tons of magnese

In y tons of low grade steel there are

0.67y tons of iron

0.33y tons of magnese

NASA orders 500 tons of steel, so

x+y=500

and specifies that it must be in the proportion 80% iron and 20% magnese, so

0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400

From the first equation,

x=500-y

Substitute it into the second equation:

0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons

7 0
3 years ago
A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s
Naily [24]

Answer:

The mean is \mu = 131

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\sigma = 39

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?

This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.

Z = \frac{X - \mu}{\sigma}

2 = \frac{209 - \mu}{39}

209 - \mu = 2*39

\mu = 209 - 78

\mu = 131

The mean is \mu = 131

7 0
2 years ago
What is the equation, in point-slope form, of the line
mixas84 [53]

Answer:

y=-1x-1

Step-by-step explanation:

it should be this

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3 years ago
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Vinvika [58]
6x

x=10

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6(10)

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6 0
3 years ago
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Brilliant_brown [7]

6x-y+33=0

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6=y-y1/x-x1

6x-y+33=0

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2 years ago
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