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Iteru [2.4K]
3 years ago
10

If 5 slices of pizza cost $5:50 how much does 

Mathematics
1 answer:
kupik [55]3 years ago
6 0

The first thing we must do for this case is to define variables.

We have then:

x: number of slices

y: total cost

We write the linear function that relates the variables.

We have then:

y = (\frac{5.50}{5}) * x

Then, we evaluate the number of slices to find the total cost.

-two slices cost:

We substitute x = 2 in the given equation:

y = (\frac{5.50}{5}) * 2\\y = 2.2

Answer:

two slices = 2.2 $

-ten slices cost:

We substitute x = 10 in the given equation:

y = (\frac{5.50}{5}) * 10\\y = 11

Answer:

ten slices = 11 $

-half a slice cost:

We substitute x = 1/2 in the given equation:

y = (\frac{5.50}{5}) * \frac{1}{2}\\y = 0.55

Answer:

half a slice = 0.55 $

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Let

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y--------> the amount of 7\% solution

we know that

2\%=0.02\\7\%=0.07\\3.5\%=0.035

so

x+y=1

y=1-x -------> equation A

0.02x+0.07y=0.035 -------> equation B

substitute equation A in equation B

0.02x+0.07(1-x)=0.035

0.02x+0.07-0.07x=0.035

0.05x=0.035

x=0.7\ liters

find the value of y

y=1-x

y=1-0.7=0.3\ liters

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<u>the answer is</u>

A) The percent values were written incorrectly in the equation

B) The amount of 7% solution should be written as 1 – x, not x – 1.

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3 years ago
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a university is comparing the grade point averages of biology majors with grade point averages of engineering majors. the univer
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Answer:

H0 : μEng = μBio

H1: μEng ≠ μBio

Step-by-step explanation:

μEng = Engineering average gpa

μBio = Biology average gpa

To test for difference between two sample means , in this case grade point average of biology majors and Engineering major.

Null hypothesis is the initial truth, which is that ; there is no difference in the mean grade point average of both biology and engineering majors

H0 : μEng = μBio

The Alternative hypothesis is the opposite of the null, which is stated has ; there is difference between the average GPA of both Engineering and Biology majors

H1: μEng ≠ μBio

7 0
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Solve for x: 8x - 2 - 5x = 8
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Answer:

3 1/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = 10 /3

Decimal Form:

x = 3. 3 3

Mixed Number Form:

x  =  3  1/3

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Someone help me with this please
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Answer:

4 number

Step-by-step explanation:

16p+32q=1,280

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Convert rectangular equation to polar equation
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