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Zanzabum
3 years ago
6

Select all the situations that can be modeled by the expression-80÷4. (multiple answers may be selected)

Mathematics
1 answer:
Masja [62]3 years ago
5 0

Answer:

Answer: C and D can be modeled using our expression

Step-by-step explanation:

The expression 80 / 4 is saying that you're splitting 80 into 4 equal parts.

80 / 4 = 20

Each part being 20.

Thus, you're looking for the situations where you're "splitting" 80 into 4 different things, all worth 20.

Option A.

Brady owed his mother 80, but repaid her 4. Brady is reducing his debt to his mom by 4. A good expression would be 80 - 4. You're not splitting up the debt, you're subtracting from it. Our expression doesn't fit.

Option B.

In total, the football team lost 80 yards across 4 plays. Our expression could be used here, but that would be assuming that they lost the same amount of yards (20) each play. This is unlikely, so we can't use our expression here. (E.g. they could lose 10, then 30, then 5, then 35 -- adding up to 80)

Option C.

Sam owed $80 to 4 friends, or, his $80 debt is split into 4 parts. Since he owes the same amount to each friend (all 4 parts are equal), we CAN use our expression here to find out how much he owed each friend.

Option D.

Taya received a total of 80, and divided it into 4 parts (one for each place she spent money at). Since we know she spent the same amount at each place (all parts are equal), our expression CAN be used here.

Option E.

Amanda withdrew $80 each day for 4 days. To find out the total, we'd have to multiply 80 by 4. $80 for each withdrawal, times four, as she did it 4 times. We are not splitting $80 up into parts, so our expression can't be used here.

Answer: C and D can be modeled using our expression

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Solve for x<br><br> (picture is included below)
Anna11 [10]

Solve for x:

1.

4x - 7 = 3

Add 7 to both sides

4x = 10

Divide both sides by 4

x = 10/4

Simplify:

x = 5/2

Answer for question 1: x = 5/2

2.

13 + 2x/3 = 15

Multiply both sides by 3

39 + 2x = 45

Subtract 39 from both sides

2x = 6

Divide both sides by 2

x = 3

Answer for question 2: x = 3

3.

10x + 7 = 15

Subtract 7 from both sides

10x = 8

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8 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST IF CORRECT!!
vfiekz [6]

Answer:

\displaystyle y=-0.927x+13.63

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

x=\{1,5,6,12,15\}

y=\{14,11,4,2,1\}

First, we find the sums

\displaystyle \sum x=1+5+6+12+15=39

\displaystyle \sum y=14+11+4+2+1=32

Then, we compute the averages values

\displaystyle \bar{x}=\frac{39}{5}=7.8

\displaystyle \bar{y}=\frac{32}{5}=6.4

We will also compute the sums of the cross-products and the sum of the squares

\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137

\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225

\displaystyle \sum x^2=431

We will compute Sxy and Sxx

\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}

\displaystyle S_{xy}=137-\frac{(39)(32)}{5}

\displaystyle S_{xy}=-117.6

\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}

\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8

The slope of the linear regression function is given by

\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927

The y-intercept ot the linear function is

\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)

\displaystyle b=13.63

Thus the best-fit line is

\displaystyle y=-0.927x+13.63

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2 years ago
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olganol [36]

Answer:

x = 29

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 17 + 2x + 5 + 3x - 16 = 180

6x + 6 = 180

6x = 180 - 6

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3 years ago
Twice the difference of a number and seven
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The difference of a number and seven is x - 7. So twice that, would be:

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