what two numbers multiply to 6 and add to 31 ?

Answer:

150 boys were enrolled in 2012

Step-by-step explanation:

Let the number of boys enrolled in 2012 be x

Let the number of girls enrolled in 2012 be x + 200

Ratio of boys to girls in 2012 enrollment = 3/7

Now;

3/7 = x/x + 200

7x = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150 boys

Hence, 150 boys were enrolled in 2012

Answer:

Let's identify what we know and what we are looking for. To start off, the question states that there is a flat rate of 500. This is the y intercept, because you start off with 500. It also states that it charges a fee of 50 per hour, which is your slope. So what we have now is y=50x+500. We know that A is asking how much it will be for 20 hours. We simply plug 20 into x, so we do y=50(20)+500 which gives 1500. For C, we repeat the same step and just plug in 50.

Answer:

Step-by-step explanation:

$3600/1

+ 300 d ( debt )

please take the photos properly so all may understand and may give answer to this questions

Answer:

im confused also can we be friends im lonely i have no friends

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]

or

x = 19

So, she will need approx 19 boxes.

Answer:

a. 2/3

b. 3/2

c. 1

d. 1

Step-by-step explanation:

Answer:

GH= 65.75

x=44.25

Step-by-step explanation:

I'm not so sure don't take my word for it I just wanted to try because I'm also new to geometry.

Answer: bobux man location

Step-by-step explanation: Latitude: 48.30781, Longitude: -127.14321, Distortion: 2.26

Answer:

190 millimeters

Step-by-step explanation:

you didn't show the whole question so yeah

Answer:

128 ounces

Step-by-step explanation:

1 lb = 16 oz :) hope this helps!

Answer:

the answer is b(-7/4)

Step-by-step explanation:

2(x+5)-3=(2x=1)+1

2x+10-3=-(2x+1)+1

2x+7=-(2x+1)+1

2x+7-2x-1+1

2x+7=2x

2x+7-7+2x-7

x=-7/4    

Answer:

Step-by-step explanation:

Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

[tex]x_1=\dfrac13\[/tex]  , [tex]y_1=\dfrac34[/tex] ,  [tex]y_2=3[/tex]

Put these values in an equation we get

[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]

Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3= 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1 1/3 cups

Answer:

A = 25π cm²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( where r is the radius )

Here diameter = 10, thus r = 10 ÷ 2 = 5, then

A = π × 5² = 25π cm²

Answer:

4.6

Step-by-step explanation:

source; calculator .com

Answer:

0.528

Step-by-step explanation:

if you do the math youll get 0.528

Answer:

(-1, 3), (-5, -5), and (1, 2)

Step-by-step explanation:

To make this easier to solve, simplify the inequality:

12x - 3y < 12

= -3y < -12x + 12 (subtract 12x)

= 3y > 12x - 12 (multiply by -1, switch the inequality because it was a multiplication by a negative number)

= y > 4x - 4 (divide by 3)

Now, just go through each point and see if they are correct after you plug them into the inequality and solve:

(-1, 3): 3 > -8? yes

(-5, -5): -5 > -24? yes

(0, -4): -4 > -4? no

(1, 2): 2 > 0? yes

(4, 4): 4 > 12? no

(3, 8): 8 > 8? no

In conclusion, the points (-1, 3), (-5, -5), and (1, 2) fit the inequality.

Answer:

Domain - [0, 4]

Range - [100, 400]

Step-by-step explanation:

Function representing the amount of money 'y' and hours of babysitting 'x' is,

y = 10x + 100

a). The dependent variable is,

   Amount of money in the bank account.

    The independent variable is,

   Number of hours of babysitting

b). x       0        1         2         3        4

    y      100    110      120     130     140

   Since, x values of a function represent the domain and y-values represent the range,

   Domain - [0, 4]

   Range - [100, 140]

Answer:

this is what i got

plz brainly

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because they are all

Answer:

1

Step-by-step explanation:

And close your tabs we don’t want to see your stuff your watching

Answer:2 they can only have 2 full slices of pizza

Step-by-step explanation:

If they wanted to have 4 full slices there would have to be at least 24 slices

If they wanted to have 5 full slices there would have to be at least 30 slices

If they all have 2 there will only be 3 left over but not enough for each them to get another full slice

If they only all have 1 full slice there would be 9 slices left over allowing them to all have another full slice making it 2 full slices they can all eat.

Answer:

y = 6x + 9 :))))))))))((

Answer: Sara bought billboards with 4 lines for $20 (the quantity is 7)

We have to take the total cost (t) and divide that buy the 6 lines billboards and the 4 line billboards.

So, let's divide $140 by 20 and 30 (the cost for each type of billboard).

$140 ÷ 30 = 4.6

This can not be the answer because Sara bought 7 billboards, not 4.6

$140 ÷ 20 = 7

So, the answer is Sara bought billboards with 4 lines for $20.

Hope this helps you!

Answer: billboards with 4 lines for $20 (7 count)

140 divided by 30 is not 20.

140 divided by 20 is 7.

The answer to the question = 7

Answer:

13/20 of a mile

Step-by-step explanation:

2/5 x 4 = 8/20

1/4 x 5 = 5/20

8/20 + 5/20 = 13/20

Answer:

B

Step-by-step explanation:

Answer:

You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:

y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)

y - 6 = ( -9 / 3 ) (x - 0)

y - 6 = -3x

y = -3x + 6 This is: y = mx+b

Step-by-step explanation:

hope this will help you..

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

The given functions are:

f(0)  =  5

f(-3)  =  6

That is, x₁ = 0,  y₁ = 5, x₂ = -3, y₂ = 6

The slope of the linear function is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]

The equation of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

Learn more on linear function here: https://brainly.com/question/18201178

Answer:

12

Step-by-step explanation:

Answer:

x= 42

Step-by-step explanation:

Since the two lines are paralell we know that

(3x-20) + (2x-10) = 180

5x=210

x=42

566

664

865

866

574

087

467

678

Answer:

1/5 I really hope that helps have a good day

Answer:

let the number = x

two more than the number = ( x + 2 )  

product of the number and ⅞ = ⅞x

if you add 15 to ( x + 2 ) the result will ⅞x

( x + 2 ) + 15 = ⅞x

8x + 16 +  120 = 7x

x = -136

Step-by-step explanation:

Answer:

what do you need to figure out explain a little more so I can help you

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Y=2(5)+6

y=10+6

Y=16

Answer:

Answer: d) -310pi

Step-by-step explanation:

Instantaneous Rate of Change

Is the change in the rate of change of a function at a particular instant. It's the same as the derivative value at a specific point.

The surface area of a cylinder of radius r and height h is:

[tex]A=2\pi r^2+2\pi r h[/tex]

We need to calculate the rate of change of the surface area of the cylinder at a specific moment where:

The radius is r=8 mm

The height is h=3 mm

The radius changes at r'=-9 mm/hr

The height changes at h'=+2 mm/hr

Find the derivative of A with respect to time:

[tex]A'=2\pi (r^2)'+2\pi (r h)'[/tex]

[tex]A'=2\pi 2rr'+2\pi (r' h+rh')[/tex]

Substituting the values:

[tex]A'=2\pi 2(8)(-9)+2\pi ((-9) (3)+(8)(2))[/tex]

Calculating:

[tex]A'=-288\pi +2\pi (-27+16)[/tex]

[tex]A'=-288\pi +2\pi (-11)[/tex]

[tex]A'=-288\pi -22\pi[/tex]

[tex]A'=-310\pi[/tex]

Answer: d) -310pi