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3 years ago

What is the equation of a line that is parallel to y=2/3x+4 and passes through the point (3,7)

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

Answer:

y=2/3x+5

Step-by-step explanation:

Parallel lines share the same slope so we already know the slope: 2/3.

Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.

To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.

7=2+b

5=b

Now we can put all the information we have together.

y=2/3x+5

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Membership in the Volunteers Club increased by 15% from last year. If the number of members last year was m, complete a simplifi

ad-work [718]

For this case what you can do is the following rule of three:
m ---> 100%
x ----> 115%
Clearing the value of x we have:
x = (115/100) * (m)
x = 1.15 * (m)
Answer:
a simplified expression to represent the number of members this year is:
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4 0

3 years ago

Y = 3/2x + 3 The slope and y-intercept

ra1l [238]

Answer:

Slope=3/2

Y-intercept=3

Step-by-step explanation:

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3 years ago

"If you subtract 12 from my number and multiply the difference by -15 , the result is -140." What is 's number?

Masteriza [31]

Answer:

The answer would be 2.7. Am not very sure though

Step-by-step explanation:

So what you do is

for example the unkown number is x and the answer you get is y

12-x=y * -15=-140

-140/-15=9.33 (this is y the answer)

12-x=9.3

12-9.3=2.7

To check your answer

12-2.7=9.3

9.3 * -15=-139.5 if you round it then it would be -140

6 0

3 years ago

Simplify 1/4-(-1/5)/3/5

IRINA_888 [86]

Answer:

exact form:37/100 Decimal Form: 0.37

Step-by-step explanation:

4 0

3 years ago

Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours. Mary would like to spend no mo

sveticcg [70]

Answer:

The system of inequalities is

$2x+10y\leq 40$

$x+y\geq 5$

The solution in the attached figure

Step-by-step explanation:

The question is

Write a system of linear inequalities.

x ---> number of scarves knitted per week

y ---> number of knitted sweaters per week

we know that

Mary would like to spend no more than 40 hours per week knitting

The word "No more" means "less than or equal to"

$2x+10y\leq 40$ ----> inequality A

Mary would like to knit at least 5 items per week

The word "at least" means "greater than or equal to"

$x+y\geq 5$ ----> inequality B

Solve the system by graphing

The solution is the triangular shaded area

see the attached figure

7 0

3 years ago