Paul spent 1/4 of his money on food and another 3/10 of his money on soda. If he had 5 dollars to begin , how much money does he have left?

Answer:  see below

Step-by-step explanation:

Step 1: Find the slope (m) using the formula:    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula.      y - y₁ = m(x - x₁)

1. (-2, 3) and (0, 2)

Step 1:  [tex]m=\dfrac{3-2}{-2-0}\quad =\dfrac{1}{-2}\quad =-\dfrac{1}{2}[/tex]

Step 2:  [tex]y-2=-\dfrac{1}{2}(x-0)[/tex]

             [tex]y-2=-\dfrac{1}{2}x[/tex]

                 [tex]\large\boxed{y=-\dfrac{1}{2}x+2}[/tex]

2. (2, 3) and (-3, 0)

Step 1:  [tex]m=\dfrac{3-0}{2-(-3)}\quad =\dfrac{3-0}{2+3}\quad =\dfrac{3}{5}[/tex]

Step 2:  [tex]y-0=\dfrac{3}{5}(x-(-3))[/tex]

                   [tex]y=\dfrac{3}{5}(x+3)[/tex]

                 [tex]\large\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]

3. (-4, 4) and (4, 5)

Step 1:  [tex]m=\dfrac{4-5}{-4-4}\quad =\dfrac{-1}{-8}\quad =\dfrac{1}{8}[/tex]

Step 2:  [tex]y-4=\dfrac{1}{8}(x-(-4))[/tex]

             [tex]y-4=\dfrac{1}{8}(x+4)[/tex]

             [tex]y-4=\dfrac{1}{8}x+\dfrac{1}{2}[/tex]

                 [tex]\large\boxed{y=\dfrac{1}{8}x+\dfrac{9}{2}}[/tex]

4. (5, 3) and (-1, 5)

Step 1:  [tex]m=\dfrac{3-5}{5-(-1)}\quad =\dfrac{3-5}{5+1}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}[/tex]

Step 2:  [tex]y-3=-\dfrac{1}{3}(x-5)[/tex]

             [tex]y-3=-\dfrac{1}{3}x+\dfrac{5}{3}[/tex]

                 [tex]\large\boxed{y=-\dfrac{1}{3}x+\dfrac{14}{3}}[/tex]

5. (-3, 3) and (0, -1)

Step 1:  [tex]m=\dfrac{3-(-1)}{-3-0}\quad =\dfrac{3+1}{-3-0}\quad =\dfrac{4}{-3}\quad =-\dfrac{4}{3}[/tex]

Step 2:  [tex]y-3=-\dfrac{4}{3}(x-(-3))[/tex]

             [tex]y-3=-\dfrac{4}{3}(x+3)[/tex]

             [tex]y-3=-\dfrac{4}{3}x-4[/tex]

                 [tex]\large\boxed{y=-\dfrac{4}{3}x-1}[/tex]

Answer:

0 .66

Step-by-step explanation:

Because they were big than other no

Answer:

y=2/3x−2  A. WOULD BE THE ANSWER

Step-by-step explanation:

Answer:

[tex]v^2-v+3[/tex]

Step-by-step explanation:

[tex](v^3-11v^2+13v-30)\div (v-10)\\\\\frac{v^3-11v^2+13v-30}{v-10}\\\\Factorize\:\:v^3-11v^2+13v-30\\\\=\frac{\left(v-10\right)\left(v^2-v+3\right)}{v-10}\\\\\mathrm{Cancel\:the\:common\:factor:}\:v-10\\\\=v^2-v+3[/tex]

Answer:

Yes it is a function

Step-by-step explanation:

Answer: 37.5 or 0.375

Step-by-step explanation:

to write 45/120 as a decimal you have to divide the numerator by the denominator of the fraction. we divide now 45 by 120 what we write down as 45/120 and get 0.375

Hope this helped!

Answer:

25:20 , the total is still 45

Answer:

= 7500 with line over 5.

Step-by-step explanation:

Answer:

it is 38.74

Step-by-step explanation:

kekdjfjaksodkfjaj

Answer:

131.63

Step-by-step explanation:

Sample method: Use properties of operations. Let x represent the markup.

​

            x98.75=33.3100                             Write the proportion.

            x98.75=0.333                              Divide 33.3 by 100.

98.75 · x98.75=(0.333)∙98.75               Multiplication Property of Equality

                      x=32.88                              Simplify.

​

Add the markup to the wholesale cost.

The selling price is  $98.75+$32.88  or $131.63.

Answer:

plS AWNSER MY QUESTION i WIIL  be GrEaTfUl FOrEvEr

Step-by-step explanation:

Answer:the answer would be 75

Step-by-step explanation:If you divide 105 by 7 you get 15 which mean there are 15 strawberries per box so just take 15 times 5 to get your answer -hope this helps!

Answer:

$6.52

Step-by-step explanation:

The price of the hat would be $13.48 after the discount.

So the amount of change he would receive would be 20-13.48 which is $6.52

Answer:

they are 27, 28, and 29.

Step-by-step explanation:

Answer:

The answer would be the first one.

Step-by-step explanation:

The first answer, any variable is not true because it would not be logical because when someone is checking your work, they wouldn‘t know what that variable is. And it is logical to list what the problem is asking, AND word problems CAN be solved using an equation.

Answer:

10

Step-by-step explanation:

Perform the said operations

Answer:

10

Step-by-step explanation:

16*2 = 32

32/8 = 4

4*15 = 60

60/6 = 10

10

Answer:

5/2

Step-by-step explanation:

5/2= 2 1/2

while 16/9=1 7/9

Answer:

You are correct!

Step-by-step explanation:

Hi!

You are right! If y is in the same spot as 58 degrees, then y is 58 degrees as well! Same goes for x. If z is 122 degrees, then x must be 122 degrees! Great job figuring this one out!

If you like my answer, please rate it! I'd also appreicate a Thanks!

Have a great day!

Answer:

The translation is left 1 unit, up 5 units ⇒ A

Step-by-step explanation:

Let us revise the rules of translation of a function

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  

If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  

If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  

If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h =   and k = f(h)

You will use the vertex form to find the translation

∵ g(x) = x² + 2x + 6

∴ a = 1 and b = 2

→ use the rule of h to find it

∴ h =  

∴ h = -1

→ Use it to find k

∵ g(h) = k

∴ k = g(-1)

→ Substitute x by -1 in g to find k

∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6

∴ k = 5

→ Substitute the values of h and k in the vertex form above

∴ g(x) = 1(x - -1)² + 5

∴ g(x) = (x + 1)² + 5

→ By using the 2nd and 3rd rules of translation above

∴ f(x) is translated 1 unit to the left and 5 units up

∴ The translation is left 1 unit, up 5 units

Answer:

it's A. left 1 unit

Step-by-step explanation:

there's a graphing tool on e d g  just copy and paste the equations in that and it'll give you the answer

Answer:

the was 60 boys in the group

Answer:

There are 60 boys.

Step-by-step explanation:

Multiply both by 10 and you get 60 boys and 10 girls. there are 50 more boys than girls.

Answer:

Y

Step-by-step explanation:

i think its Y

Answer: 2.4

Step-by-step explanation:

4/5 x 3 = 2 and 3/5

2 and 3/5 converted into decimal is 2.4

You're welcome!

Answer:

The most common measure of an angle is in degrees. Here is a brief introduction to the four types of angles: Right angle. With this angle, you can never go wrong. The right angle is one of the most easily recognizable angles. It’s in the form of the letter L, and it makes a square corner (see Figure 2). It has a measure of 90 degrees.

Step-by-step explanation:

Answer: We need more information. I can't solve this with no info.

Step-by-step explanation:

Answer:

1.03

Step-by-step explanation:

1.029 is closer to 1.03 than 1.02, so round it to 1.03.

Answer:

1.03

Step-by-step explanation:

Answer:

Brooklyn would get paid 16.30 hourly. So she will have to work 15 hours the next week to earn 244.50.

Step-by-step explanation:

Divide 179.30 by 11 and you would get 16.30 which is her hourly wage. Then you divide 244.50 by 16.30 to see how many hours she would have to work to earn 244.50.

Answer:

15 Hours

Step-by-step explanation:

179.30 / 11 = $16.3 an hour

244.5 / 16.3 = 15 hours

Answer:

The answer is C

Step-by-step explanation:

So, in A, the ratio is 5:3- understand? And in C, the ratio is 10:6. You multiply 5(2) and 3(2), and you get 10:6

-Hope this helped!

Answer:

Step-by-step explanation:

C 13:9

Answer:

Step-by-step explanation:

Answer:

The candle burns out 1 [tex]\frac{1}{4}[/tex] per hour. (or [tex]\frac{5}{4}[/tex])

Step-by-step explanation:

1. Convert 11 [tex]\frac{1}{4}[/tex] into an improper fraction ([tex]\frac{45}{4}[/tex])

2. Divide [tex]\frac{45}{4}[/tex] by 9 to find the rate

3. You should get 1 [tex]\frac{1}{4}[/tex] (mixed number) or keep it as an improper fraction( [tex]\frac{5}{4}[/tex] )

Hope this helps!