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2 years ago

(!!WORD PROBLEM!!)

Mathematics

1 answer:

Ivan2 years ago

5 0

Answer: a package of cookies cost $ 5 and each bag of chips cost $5

Step-by-step explanation:

Let x represent the cost of a package of cookies and y represent the cost of a bap of chips ,then from the first statement :

4x + 4y = 40

dividing through by 4 , we have

x + y = 10 ........................... equation 1

From the second statement

3x + 5y = 40 ..................... equation 2

Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is

x = 10 - y ................... equation 3

substitute x = 10 - y into equation 2 , we have :

3 (10 - y ) + 5y = 40

30 - 3y + 5y = 40

30 + 2y = 40

subtract 30 from both sides

2y = 40 -30

2y = 10

y = 5

substitute y = 5 into equation 3 , equation 3 becomes

x = 10 - 5

x = 5

Therefore ; a package of cookies cost $ 5 and each bag of chips cost $5

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Considering that each student has only one birthday, each input will be related to only one output, hence this relation is a function.

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A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

The input is the student's name.

The output is the student's birthday.

Each student has only one birthday, hence each input will be related to only one output, hence this relation is a function.

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8 months ago

A parabola intersects at x-axis at x= 2 and x= 6. What is the x-coordinate of the parabolas vertex?

charle [14.2K]

Answer:

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Step-by-step explanation:

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2 years ago

Diane has the following data:

Vladimir [108]

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2 years ago

Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and

lara31 [8.8K]

*see attachment below showing the dot plot and box plot created by Tia

Answer:

Dot plot

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This dot plot display makes it easier to find how many days had a temperature that is higher than 15°.

Thus, from the dot plot, we have:

2 dots representing 2 days having a temperature of 16°C each

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2 days have temperature of 18°C as well, and

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2 years ago

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The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard

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$z=\frac{x-\mu}{\sigma}$ , where,

z = z-score,

x = Random sample score,

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$z=\frac{10.1-12.5}{2.4}$

$z=\frac{-2.4}{2.4}$

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We know that approximately 68% of data points lie between one standard deviation from mean.

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To find the probability of a data point with z-score $-1$ , we will subtract half of 68% from 50%.

$\frac{68\%}{2}=34\%$

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Therefore, the probability of a lion living longer than 10.1 years is approximately 16%.

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2 years ago