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Stells [14]
3 years ago
7

Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation

shows the price, y, as a function of the number of boxes, x, for the new brand.
y = 7x

Part A: How many more dollars is the price of a box of Yani's original brand of cereal than the price of a box of the super-saving cereal? Show your work.

Part B: How much money does Yani save each month with the change in cereal brand if he buys 5 cereal boxes each month? Show your work.
Mathematics
2 answers:
notka56 [123]3 years ago
8 0

Step-by-step explanation:

Part A: The price of the first cereal that Yani bought was $10 and he new cereal is $7.


$10 - $7 = $3. The original box of cereal was $3 more than the super- saving cereal.


Part B: Yani will save $15 each month.

With the $10 cereal he used to pay $50 per month. Now with the super-saving cereal, he will now pay $35 per month.

So we need to subtract $50 - $35 = $15

Keith_Richards [23]3 years ago
4 0
A) Original price : y =10.x
Cheaper brand : y = 7x
The original box is $3 more than the cheap one. 
Proof:Suppose 1 box is bought of each (x=1),Original will cost $10 & the Cheaper Price is $7

B) Each time he buys a cheap brand he save $3 ($10-$7).
 On 5 cheap boxes, He would save $3 x 5 boxes = $15.
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Which pair of words describes this system of equations 3y=9x-6 2y+6x=4
pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

3y = 9x - 6

2y + 6x = 4

Required

The words that describe the equations

Make y the subject in (2)

2y + 6x = 4

Collect like terms

2y = 4 - 6x

Divide through by 2

y = 2 - 3x

Substitute: y = 2 - 3x in (1)

3y = 9x - 6

3(2 - 3x) = 9x - 6

6 - 9x = 9x - 6

Collect like terms

9x+9x = 6+6

18x = 12

Solve for x

x = \frac{12}{18}

Simplify

x = \frac{2}{3}

Substitute x = \frac{2}{3} in y = 2 - 3x

y = 2 - 3*\frac{2}{3}

y = 2 - 2

y =0

So, we have:

x = \frac{2}{3} and y =0

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

6 0
3 years ago
The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?
Orlov [11]

Answer:

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Step-by-step explanation:

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The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard devia
atroni [7]

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use 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.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

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Standard deviation s is 2.5, for L is 1.5. So

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Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

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

Z = \frac{2.5 - 2}{2.915}

Z = 0.17

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

7 0
3 years ago
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elena55 [62]
I’m just saying this so I can get points but I think if u divide u should get da answer
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