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3 years ago

Ben buys four 16 oz. cans of soda for 64 cents. He pays how much for the soda? The unit price is _ per oz.

Mathematics

1 answer:

choli [55]3 years ago

5 0

Answer:

one cent per ounce

Step-by-step explanation:

he buys 4 16 ounce cans, so the total number of ounces if 4 × 16 which is 64.

to find the price per ounce, you want to divide the price by the amount of ounces, which is 64/64 which just simplifies to one cent per ounce.

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igomit [66]

answer:

(bh) (hb)

explanation: this is because to be able to find the area of the triangle, you need to know at least the length of two sides and these are the formulas that you could use to get the area

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3 years ago

Read 2 more answers

A store has clearance items that have been marked down by 40%. They are having a sale, advertising an additional 45% off clearan

Olegator [25]

Answer:

$P_2 = (1-0.45) *0.6 P_o =0.55*0.60 P_o=0.33 P_o$

So the discount is 33% and we are paying 67% of the value. The reason is given by the relative change:

$\% Change = \frac{|0.33P_o -P_o|}{P_o}*100 =67\%$

Step-by-step explanation:

First we have a first discount of 40% so then using this condition and assuming that $P_o$ represent the initial price, the price after the first discount $P_1$ is given by:

$P_1 = (1-0.4) P_o =0.6P_o$

That means 60% of the original value.

Now we have another discount of 45% for the 60% reamining after a 2 discount so let's $P_2$ represent the price after the second disccount we can can express this price in terms of $P_1$ or $P_o$ liek this:

$P_2 = (1-0.45) P_1=0.55 P_1$

$P_2 = (1-0.45) *0.6 P_o =0.55*0.60 P_o=0.33 P_o$

So the discount is 33% and we are paying 67% of the value. The reason is given by the relative change:

$\% Change = \frac{|0.33P_o -P_o|}{P_o}*100 =67\%$

4 0

3 years ago

4.63 clark's country pet resort is fencing a new play area for dogs. the manager has purchased 130 yd of fence to enclose a rec

lubasha [3.4K]

Let W and L be width and length of the rectangular pen respectively.

Therefore,
Circumference, C = 2W+2L= 130 yd
Area, A = LW = 1050 yd^2=> L = 1050/W

Using the circumference expression and substituting for L;
130 = 2W + 2(1050/W) = 2W+2100/W
130*W = 2W*W + 2100
130W = 2W^2 +2100
2W^2-130W+2100 = 0

Solving for W;
W= [-(-130)+/- Sqrt ((-130)^2-4(2)(2100)]/2*2 = 32.5+/- 2.5
W = 30 or 35 yd

When W = 30, L = 1050/30 = 35
When W = 35, L = 1050/35 = 30

Therefore, W = 30 yd and L = 35 yd.

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3 years ago

Steven recorded the growth of a plant over 10 weeks for his science project. He made a graph that shows how much the plant grew

Natasha2012 [34]

Answer:

D. y = 6/5x + 2

Step-by-step explanation:

Initial height is 2 in
Height after 5 weeks is 8 in

<u>Rate of change is</u>

(8 - 2)/5 = 6/5

<u>So the equation is:</u>

y = 6/5x + 2

Correct option is D

6 0

3 years ago

It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally dis

AlexFokin [52]

Answer:

a) 0.18% of cold sufferers experience fewer than 4 days of symptoms

b) 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

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:

$\mu = 7.5, \sigma = 1.2$

a. What proportion of cold sufferers experience fewer than 4 days of symptoms?

This is the pvalue of Z when X = 4. So

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

$Z = \frac{4 - 7.5}{1.2}$

$Z = -2.92$

$Z = -2.92$ has a pvalue of 0.0018.

So 0.18% of cold sufferers experience fewer than 4 days of symptoms.

b. What proportion of cold sufferers experience symptoms for between 7 and 10 days?

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 7. So

X = 10

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

$Z = \frac{10 - 7.5}{1.2}$

$Z = 2.08$

$Z = 2.08$ has a pvalue of 0.9812.

X = 7

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

$Z = \frac{7 - 7.5}{1.2}$

$Z = -0.42$

$Z = -0.42$ has a pvalue of 0.3372.

So 0.9812 - 0.3372 = 0.644 = 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

8 0

4 years ago

Ben buys four 16 oz. cans of soda for 64 cents. He pays how much for the soda? ____ The unit price is _____ per oz.

Ben buys four 16 oz. cans of soda for 64 cents. He pays how much for the soda? The unit price is _ per oz.