Anna and Sam 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, Anna
has 20 signatures, and Sam has 25. Anna is collecting signatures at an average rate of 6 per
day, whereas Sam is averaging 5 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?
Time
elapsed
Write a system of equations, graph them, and type the solution.

Answer:

Train A is 294 tons and Train B is 84 tons

Step-by-step explanation:

You can create a system of equations

A+B=378

A-B=210

Adding both would get

2A=588

2A/2=588/2

A=294

Now plug that in to the second equation (either is fine)

294-B=210

B=84

Check

294+84=378

Step-by-step explanation:

Let,

Weight of train A = x

Weight of train B = y

x + y = 378 (1)

x - y = 210 (2)

Now,

On adding 1 and 2

x + y + x - y = 378 + 210

2x = 588

x = 588/2

x = 294 tons

From 1

294 + y = 378

y = 378 - 294

y = 84 tons

Answer:

Step-by-step explanationcvm

Answer:

25

25+1.25x

Step-by-step explanation:

At least you got an actual answer this time hope this helps

Answer:

Very sorry if this is no help

Step-by-step explanation:

Answer:

i think A. 16p+6 is answer

Answer:

y = 0.25x+1

Step-by-step explanation:

Y= mx+b

m= 0.25

b= 1

hope this helps

Answer:

-1/2

Step-by-step explanation:

The first point is (-3,0) and the second point is (-1,-1). To find slope you do change in y over change in x. So (-1-0)/(-1--3) or -1/2 which is your slope.

Answer:

[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]

To find - sum of the given two terms.

[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]

[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]

we basically added the like terms together..

like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...

since there's none other term having "x²" as the coefficient.. so 2x² will be left as it is!

hope helpful~

The sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9

Given:

4+3x

5-4x+2x²

(4+3x) + (5-4x+2x²)

= 4 + 3x + 5 - 4x + 2x²

= 2x² + 3x - 4x + 5 + 4

= 2x² + 7x + 9

Therefore, the sum of the expression is 2x² + 7x + 9

Learn more about sum:

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Answer:

7

Step-by-step explanation:

im pretty sure at least. since x is on a midpoint, it'd half of 14.

See those similar lines

The line.of length x passes through midpoint of the traingles on opposite sides

At this case according to BPT theorem

Answer:

5 + 5 = 10

10 + 10 = 20

20 + 20 = 40

40 + 40 = 80

80 is the answer.

Answer:

25%

Step-by-step explanation:

alex paid:

8x3 = 24

he saved:

2.50x12-24 = 30 - 24 = 6

percent:

(6/24)x100 = 25%

Answer:

10\frac{7}{12}

Step-by-step explanation:

First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.

Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.

Now you are left with \frac{4][12] and \frac{9}{12}.

Add those back to your numbers

16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}

2q

Answer:

solution given:

[tex]log_{10} n=q[/tex]

now

[tex]  Log_{10 }n^2=?[/tex]

by using property of logarithms

[tex]log_{a} n^p=p log_{a}n [/tex]

now

[tex]  Log_{10 }n^2=2 Log_{10 }n[/tex]

=2q

since [tex]log_{10} n=q[/tex]

Step-by-step explanation:

Answer: 420 dollars.

Step-by-step explanation:

Answer:

Total income, $420.

Step-by-step explanation:

if $84 is 20% of freds income, then freds income could be modeled by the equation

Income = 84/.2 which equals $420 ((((ganggang)))

to check this, you can take his total income (420) and multiply it by 20%, and if we get 84, we are correct, 20% of freds income($420) IS in fact $84.

420*.2 = $84 proving ourselves to be correct.

The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.

The given parameters are:

In regression, the variable s represents the average distance that the observed values fall from the regression line

In this case, we have:

Hence, 0.67 represents the typical distance between the observed grade points and predicted grade points.

Read more about regression at:

https://brainly.com/question/25472374

Step-by-step explanation:

-2a + x

Putting values of a = - 2 and x = 7

-2(-2) + 7

4 + 7

= 11

Answer:

20z

Step-by-step explanation:

just times 20*z which give you 20z

Answer:

equation : P(x) = 5x+60

Table :

If x (levi sells this many computers)

then y (levi makes this much money)

x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...

y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...

Step-by-step explanation:

This equation can be modeled by P(x) = 5x+60

P= levi's total pay

x = number of computers sold

This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.

Answer:

y=1.58

Step-by-step explanation:

7=4(3y-3)

Simplify the distributive property.

7=12y-12

Add 12 to both sides.

19=12y

Divide 12 on both sides.

1.58=y

-hope it helps

Answer: $0.55

Step-by-step explanation:

$4.95/9=$0.55 ( 1 ounce frozen yogurt)

A shop charges $4.95 for 9 ounces frozen yogurt, then the cost of per ounce yogurt is $0.55.

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data in the question,

Price of 9 ounce yogurt = $4.95

Then,

The cost of per ounce of yogurt = 4.95/9 = $0.55.

To know more about arithmetic operations:

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#SPJ2

Answer:

Answers are below.

Step-by-step explanation:

Hope this helps:)

Answer:

65,754.6

Step-by-step explanation:

When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.

The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

The points on the graph are given as:

[tex](x,y) = (-3,3)[/tex] --- the inflection point

[tex](x,y) = (0,4.5)[/tex] --- the y-intercept

The function that satisfy the above points is:

[tex]y = \sqrt[3]{x+3} + 3[/tex]

The proof is as follows:

At the inflection point, we have the x value to be -3.

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{-3+3} + 3[/tex]

[tex]y = \sqrt[3]{0} + 3[/tex]

[tex]y = 0+ 3[/tex]

[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3

Also, at the y-intercept, we have the x-value to be 0

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{0+3} + 3[/tex]

[tex]y = \sqrt[3]{3} + 3[/tex]

[tex]y = 1.45+ 3[/tex]

[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0

Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

Read more about graphs and functions at:

https://brainly.com/question/25918641

Answer:

D

Step-by-step explanation:

Answer:

Bonds are among a number of investments known as fixed-income securities. They are debt obligations, meaning that the investor loans a sum of money (the principal) to a company or a government for a set period of time, and in return receives a series of interest payments (the yield).

Step-by-step explanation:

Answer:

I am going to guess that shape you are trying to find is an triangle

30˚

Step-by-step explanation:

A triangle angle is 180˚

So add 121 and 29

Which is 150

180 - 150 which is 30

So the missing angle is 30˚

Hope this helps!

[tex]\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\[/tex]

Answer:

  the top two

Step-by-step explanation:

For a function to be invertible, it must pass the "horizontal line test." That is, there can be no horizontal line that will intersect the graph in more than one place. The bottom two graphs fail this test, so do not represent invertible functions.

The two top graphs show invertible functions.

Answer:

4000 sqft

Step-by-step explanation:

you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft