Ken and Vincent each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Ken has 10 signatures, and Vincent has 30. Ken is collecting signatures at an average rate of
3 per day, whereas Vincent is averaging 2 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take?
00
Write a system of equations, graph them, and type the solution.
Sn

Answer:

1st: y=-2x-3

2nd:y=-2x-13

Step-by-step explanation:

Since the line is parallel to y = -2x-4, its slope is -2. Therefore, we have the equation y=-2x

But when we evaluate that equation at -1, we get -2(-1)=2, but we want to make it equal to -1 when evaluated at -1. Therefore, we can subtract 3, as 2-3=-1.

Therefore, the equation is y=-2x-3.

For the second question, we can use a similar concept. The slope will be -2, but if you directly evaluate it at -4, it's going to be 8, but we want it to be -5, so we subtract 13.

Therefore, the equation is y=-2x-13

Problem 1

--------------

Explanation:

Parallel lines have equal slopes but different y intercepts.

Linear equations in the form y = mx+b have slope m and y intercept b.

The slope of y = -2x-4 is m = -2

So any parallel line to this will also have m = -2

Plug (x,y) = (-1,-1) along with the value of m, into y = mx+b and solve for b

y = mx+b

-1 = -2(-1)+b

-1 = 2+b

2+b = -1

b = -1-2

b = -3

The parallel line is y = -2x-3

==============================================

Problem 2

--------------

Explanation:

We'll use the same ideas and steps as problem 1.

y = -2x-5 has slope m = -2

The parallel line also has slope m = -2

We want the parallel line to go through (x,y) = (-4,-5)

So,

y = mx+b

-5 = -2(-4)+b

-5 = 8+b

8+b = -5

b = -5-8

b = -13

The parallel line is y = -2x-13

Answer:

Quest 1. is C, i.e 8. besides thier base are equal.

Quest 2. is D

Wuest 3. is C

Answer:

Constant of proportionality; k = 20/3

Step-by-step explanation:

Let running be A and sprinting be B.

Now, we are told that you run 20 seconds for every 3 seconds you sprint.

This means that is directly proportional to B and written as; A ∝ B.

Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.

Thus, A = kB

Where k is the constant of proportionality

Plugging in the values of A and B we are given, we have;

20 = 3k

Divide both sides by 3 to get;

k = 20/3

Answer:

B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).

Step-by-step explanation:

Answer:

967.74

Step-by-step explanation:

The average daily balance of the credit card for the August 1 - August 31 billing period is $943.55.

The average daily balance can be determined by dividing the total daily balaces for August by the number of days in August.

The average daily balance = total balance / total number of days in Augst.

Total balance = (1500 x 3 days) + (1100 x10 days) + (850 x 10 days) + (750 x 7 days)

Total balance = 4500 + 11,000 + 8,500 + 5,250 = 29,250

The average daily balance = 29250 / 31 = $943.55

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Answer:

approximately $0.33

Step-by-step explanation:

you just do 178/5.34

Answer:

[tex] h = \dfrac{A - 9}{6} [/tex]

Step-by-step explanation:

A=b^2+2bh

b = 3

A = 3^2 + 2(3)h

A = 9 + 6h

6h = A - 9

[tex] h = \dfrac{A - 9}{6} [/tex]

The required expression for the slant height is h = [A - 9] / 6 .

Given that,
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A=b²+2bh
According to the condition,
put b = 3
A = 3² + 2 * 3 h
A = 9 + 6h
h = [A - 9] / 6

Thus, the required expression for the slant height is h = [A - 9] / 6 .

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Answer:

4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find what y equals, x has to be 0.

3x-y=12

3(0)-y=12

-y=12        (multiply by -1 so y is not negative)

y=-12

Because y=-12 you need to do -12/3 to get your answer to y/3

-12/3=-4

Answer:

The answer is 8x^5 + 5x^2 + 9x − 31

Answer:

0

Step-by-step explanation:

60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

60 percent of 92

Let x be the 60 percent of the 92

x = 60 % of 92

x = (60/100)92

x = 55.2

Thus, 60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

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Answer:

3.5

Step-by-step explanation:

add 4

6x=21

divide by 6

x=3.5

Answer:

13 days

Step-by-step explanation:

51-25=26

26/2=13

Answer: measurement 1, and 3 is 147. Measurement 4 is 33

Answer:

yes i also poop on poop though so it is fun

Step-by-step explanation:

1/3= poop

Answer:

Yes.

Step-by-step explanation:

1/3 = 0.333333333

Answer:

91

Step-by-step explanation:

Using the PEMDAS method (parentheses exponenets multiplication division addition subtraction), we know that since 3-5 is not in parentheses, we have to multiply before we subtract. So first, we must multiply 32 x 3 to get a product of 96. Then we must subtract, 96 - 5 = 91. Therefore, your answer is 91.

Hope this helped! Good luck!

Answer:

$4.54

Step-by-step explanation:

Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.

Answer:

3/5

Step-by-step explanation:

when you multiply powers by a zero it = 0 so you would just end up with 3/5

Answer:

4

Step-by-step explanation:

Answer:

Her unit rate remained the same

Step-by-step explanation:

80 is twice as much as 40. 5 minutes is twice as long as 2 1/2 minutes. Her unit rate never changed.

Answer:

her unit rate remained the same

Step-by-step explanation:

Answer:

y=-1/2x

Step-by-step explanation:

Answer:

y=-1/2x

Step-by-step explanation:

shown in graph

Step-by-step explanation:

install microsoft math and do something like this...

Answer:

-1.9

Step-by-step explanation:

Hope this helps!

Answer:

-1.9

Step-by-step explanation:

0.2 x -9.5 = -1.9

Answer:

all of the answers should be in the back

Step-by-step explanation:

The solution is :

We conclude that the slope of line 'n' is: m₂ = 10

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given

The slope of line m is: m₁ = 10

It is stated that another line is parallel to line m.

Let m₂ be the slope of the 'n' line.

We know that when two lines are parallel, they have equal slopes.

i.e.  m₁ = m₂

as

The slope of line m is: m₁ = 10

and

The lines are parallel

so

The slope of line 'n' is: m₂ = 10

Therefore, we conclude that the slope of line 'n' is: m₂ = 10.

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complet question:

Line m has a slope of 10. Another line n is parallel to line m. What is the slope of line n ?

Answer:

5184 ??

Step-by-step explanation:

18 boxes times 24 in them

then times that by the students and you get that number +_+

Answer:

A

Step-by-step explanation:

if its negative its going to face downwards

also, the +3 means you go up on the y axis

if its just x its 1/1

The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?

5 sticks / 2 bottles

25 sticks / x bottles

10 bottles

Answer:  10 bottles

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?

8 finished

4 finished / 1 left

8 finished / 2 left

10 total

Answer:  10 total problems

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?

7 sugar / 3 flour

63 oz sugar / x oz flour

27 oz flour

Answer:  27 oz flour

Write an equation for each using the variables provided.

For each pound there are 16 ounces.

Write an equation to express the total number of ounces (Z) in (Y) pounds.

1 lb / 16 oz

Z = 16Y

Equation:  Z = 16Y

Every dollar is 4 quarters.

Write an equation to express the total number of quarters (Q) in dollars (D).

1 dollar = 4 q

Q = 4D

Equation:  Q = 4D

Word Problems. You must show your work and answer to get full credit.

Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.

(copy & paste)

( H - 28 ) / ( G - 16 ) = 2 / 5

H - 28 = 2

H = 30

G - 16 = 5

G = 21

Henry:  30

Grace:  21

Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

3 clerks take 12 days to write 6 docs

1 clerk takes 4 days to write 2 docs

2 clerks take 8 days to write 4 docs

8 : 4

3/4 * ( 8 ) : ( 4 ) * 3/4

6 : 3

6 days

Answer:

Cell phone monthly 271 X 12 = 2,052

water and gas yearly 1270 + 2,052 =3,320

3,320 is you're answer.

Step-by-step explanation: