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3 years ago

Check all the ordered pairs that satisfy the equation below. Y=6x

1 answer:

3 0

If $\frac{y}{x} = 6$ , then any ordered pair would satisfy the equation.
Since we're not given the ordered pairs, then this is the only information I can give to you.

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The company sold four more than three times as many cars this month compared to last month. If 37 were sold this month, how many

belka [17]

11 were sold last month

4 0

3 years ago

You went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items. How much is the final bill if you apply

Alina [70]

We have been given that you went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items.

Let us find the amount of taxable items by subtracting amount of non-taxable items from total bill.

$\text{Amount of taxable items}=\$75-\$45.50$

$\text{Amount of taxable items}=\$29.50$

We have been given that the rate of tax is 7.5% to the taxable items. To find the amount of tax, we will find 7.5% of $29.50.

$\text{Amount of tax}=\$25.50\times \frac{7.5}{100}$

$\text{Amount of tax}=\$25.50\times 0.075$

$\text{Amount of tax}=\$2.2125$

Final amount of bill would be amount of bill plus amount of tax.

$\text{Final amount of bill}=\$75+\$2.2125$

$\text{Final amount of bill}=\$77.2125$

Therefore, final amount of bill would be $\$77.2125$ .

5 0

3 years ago

A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calor

marin [14]

The net decrease in calories after walking for 5 hours is 50 calorie.

According to the statement

we have given that the

A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.

And we have to find the net decrease in calories after walking for 5 hours.

So, For this purpose,

We know that the

calories burns in one hour = 200−20t

calories burns in 5 hours = 5(200−20t)

calories burns in 5 hours = 1000 - 100t

Now,

Calorie intake in t hours = 110t

And

net decrease in calories after walking for 5 hours = 100t - 1000 + 110t

put t is 5 then

net decrease in calories after walking for 5 hours = 210(5) - 1000

net decrease is 50 cal.

So, The net decrease in calories after walking for 5 hours is 50 calorie.

Learn more about calorie here

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3 0

2 years ago

In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin

denpristay [2]

Answer:

a) $Z = -0.8$

b) $Z = 2.4$

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 210, \sigma = 25$

a) Find the z-score of John who scored 190

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

$Z = \frac{190 - 210}{25}$

$Z = -0.8$

b) Find the z-score of Bill who scored 270

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

$Z = \frac{270 - 210}{25}$

$Z = 2.4$

c) If Mary had a score of 1.25, what was Mary’s score?

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

$1.25 = \frac{X - 210}{25}$

$X - 210 = 25*1.25$

$X = 241.25$

Mary's score was 241.25.

3 0

3 years ago

Read 2 more answers

What’s the equation in vertex form?

pshichka [43]

Answer:

$\large\boxed{y=(x+5)^2-64}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64$

8 0

3 years ago