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creativ13 [48]
3 years ago
12

What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ? Enter your equation in the box.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

ANSWER

y = 5x + 6

EXPLANATION

The equation of the given line is

y=5x-7

This line is in the slope -intercept form,

y = mx + c

where

m = 5

is the slope.

The line which is parallel to this line and passes through (1,11) also has slope

m = 5

Let the equation of this line be

y = mx + b

This implies

y = 5x + b

We substitute x=1 and y=11 to get

11 = 5(1) + b

b = 11 - 5 = 6

The required equation is

y = 5x + 6

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2 years ago
The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lun
Luden [163]

Answer:

The expected value for a student to spend on lunch each day = $5.18

Step-by-step explanation:

Given the data:

Number of students______$ spent

2 students______________$10

1 student________________$8

12 students______________$6

23 students______________$5

8 students_______________$4

4 students_______________$3

Sample size, n = 50.

Let's first find the value on each amount spent with the formula:

\frac{num. of students}{sample size} * dollar spent

Therefore,

For $10:

\frac{2}{50} * 10 = 0.4

For $8:

\frac{1}{50} * 8 = 0.16 l

For $6:

\frac{12}{50} * 6 = 1.44

For $5:

\frac{23}{50} * 5 = 2.3

For $4:

\frac{8}{50} * 4 = 0.64

For $3:

\frac{4}{50} * 3 = 0.24

To find the expected value a student spends on lunch each day, let's add all the values together.

Expected value =

$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24

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Therefore, the expected value for a student to spend on lunch each day is $5.18

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3 years ago
What is the value of y?<br><br> Enter your answer in the box. <br><br> y= ??
kenny6666 [7]

Answer:

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Step-by-step explanation:

total of a triangle adds up to 180 degrees

so:

76+37=116

180-116=64

8 0
3 years ago
Read 2 more answers
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