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3 years ago

8

John has 50 missing assignments in his history and science class. He only has 15 days to turn everything in. How many assignment

s will John have to do everyday?

2 answers:

Leto [7]3 years ago

7 0

Answer:

3.333333333333333

Step-by-step explanation:

You will have to divide 15 by 50 to get the answer. That will give you 3.333333333333333 which is your answer.

Nadusha1986 [10]3 years ago

3 0

Answer:

3.3333 (repeating)

Step-by-step explanation:

He has 50 missing assignments and 15 days to do them.

So you do 50 missing assignments divided by 15 days, to see how many assignments a day he would have to do.

50 / 15 = 3.33 (repeating)

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Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

artcher [175]

<em><u>The system of linear inequalities are:</u></em>

$a + b \geq 20\\\\2.50a + 7b\leq 80$

<em><u>Solution:</u></em>

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

<em><u>He needs to buy at least 20 candles</u></em>

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

Cost of 1 large candle = $ 7

<em><u>He can spend no more than 80 dollars</u></em>

Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

<em><u>Thus, we frame a inequality as:</u></em>

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

$a \times 2.50 + b \times 7 \leq 80\\\\2.50a + 7b\leq 80$

<em><u>Thus the system of linear inequalities are:</u></em>

$a + b \geq 20\\\\2.50a + 7b\leq 80$

3 0

3 years ago

Solve for x.<br><br> Captionless Image<br> x= 6<br> x = 0<br> x= 5<br> x= 10

Pachacha [2.7K]

Answer:

You cannot solve for x on any of these. it will just be the same answer.

Step-by-step explanation:

4 0

3 years ago

An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t

erastova [34]

Answer:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

$\bar X=46.5$ represent the mean

$\sigma=1.1$ represent the population standard deviation

$n=150$ sample size

$\mu_o =46.7$ represent the value to verify

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:

Null hypothesis: $\mu = 46.7$

Alternative hypothesis: $\mu \neq 46.7$

Since we know the population deviation the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23$

The p value would be given by:

$p_v =2*P(z$

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0

3 years ago

June made a design with 6 equal tiles. One tile is yellow, 2 tiles are blue, and 3 tiles are purple. What fraction of the tiles

ludmilkaskok [199]

Answer: $\frac{2}{3}$

<u>Step-by-step explanation:</u>

yellow or purple

$\frac{1}{6}$ + $\frac{3}{6}$

= $\frac{4}{6}$

= $\frac{2}{3}$

6 0

3 years ago

)The ratio of X's to O's is 15 over 10. . Use the image below to determine another ratio for X's to O's: Image with 15 Xs and 10

luda_lava [24]

Answer:

2:3

Step-by-step explanation:

The common factor between 10 and 15 is 5.

5 goes into 10 twice and 15 three times.

$\frac{15}{10}$ ÷ $\frac{5}{5} = \frac{2}{3}$

4 0

2 years ago