The value of y varies directly with x, and y=-2 when x=5. Find y when x=15.

A. -6

B. 6

C. 37.5

D. -37.5

Answer:

see explanation

Step-by-step explanation:

(10)

let x represent blueberry pie and y blackberry pie, then

x + 2y = 53 → (1)

10x + 3y = 224 → (2)

Multiplying (1) by - 10 and adding to (2) will eliminate x

- 10x - 20y = - 530 → (3)

Add (2) and (3) term by term to eliminate x

0 - 17y = - 306

- 17y = - 306 ( divide both sides by - 17 )

y = 18

Substitute y = 18 into either of the 2 equations and solve for x

Substituting into (1)

x + 2(18) = 53

x + 36 = 53 ( subtract 36 from both sides )

x = 17

Then

the cost of 1 blueberry pie is $17 and 1 blackberry pie is $18

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The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

(11)

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (0, 3)

m = [tex]\frac{3-2}{0-4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

y = - [tex]\frac{1}{4}[/tex] x + 3 ← equation of line

(12)

(x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (4, 2)

m = [tex]\frac{2-1}{4+3}[/tex] = [tex]\frac{1}{7}[/tex] , then

y = [tex]\frac{1}{7}[/tex] x + b ← is the partial equation

To find b substitute either of the 2 points into the partial equation

Using (3, 1 ), then

1 = [tex]\frac{3}{7}[/tex] + b ⇒ b = 1 - [tex]\frac{3}{7}[/tex] = [tex]\frac{4}{7}[/tex]

y = [tex]\frac{1}{7}[/tex] x + [tex]\frac{4}{7}[/tex] ← equation of line

Answer:

Step-by-step explanation:

[tex]V=\pi R^2\cdot H\\\\V=45\pi\\R=3\\H=??\\\\45\pi=\pi\cdot3^2\cdot H\\\\45=9H\\\\H=5[/tex]

Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?

178.18 x 0.25 = 44.55

178.18 - 44.55 = 133.63 = sales price

133.63 x 0.05 = 6.68

133.63 + 6.68 = 140.31 = total price

Step-by-step explanation: That's how I solved it...

Answer:

We have the inequalities:

y > 2*x + 2/3

y < 2*x + 1/3

First, we need to understand how to see the solutions of each one of these.

y > 2*x + 2/3

The solution set of this inequality will be ALL the points above the line:

y = 2*x + 2/3

And the solution of the inequality:

y < 2*x + 1/3

Will be the set of all the points below the line:

y = 2*x + 1/3

Notice that line "y = 2*x + 2/3" is above than the line "y = 2*x + 1/3"

Then the system:

y > 2*x + 2/3

y < 2*x + 1/3

Has no solutions.

If we reverse both inequalities, we will get:

y < 2*x + 2/3

y > 2*x + 1/3

Now the solution of the first inequality will be all of the region below the line, and the solution for the second will be all the region above the line.

In this case, the solution of the system will be all the region between both lines, as we can see on the graph below. Where the solution of the system is the doubled shaded area.

Answer:

X.

Step-by-step explanation:

-8

5*3=15

7-15=-8

i have to add charcters so i can post

Answer:

[tex]the \: \: product \: \: of \: \: 5 \: and \: 3 = 5 \times 3 = 15 \\ less \: than \: 7 \\ \\ it \: \: meam \: 7 - 15 = - 8[/tex]

I ᴛʜɪɴᴋ - 8 ᴛʜɪs ɪs ᴛʜᴇ ʀɪɢʜᴛ ᴀɴsᴡᴇʀ...

Just confusing..

Answer:

Let's solve your equation step-by-step.

27+9x=12x−6

Step 1: Simplify both sides of the equation.

27+9x=12x−6

27+9x=12x+−6

9x+27=12x−6

Step 2: Subtract 12x from both sides.

9x+27−12x=12x−6−12x

−3x+27=−6

Step 3: Subtract 27 from both sides.

−3x+27−27=−6−27

−3x=−33

Step 4: Divide both sides by -3.

−3x

−3

=

−33

−3

x=11

Answer:

x=11

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

12 treat bags

Step-by-step explanation:

Answer:

If I am correct, the answer should be 70.1 degrees.

Answer: 4x-12x

Step-by-step explanation:

Distributive preoperty so -6*-2/3=4 and  -6*2x= -12x together 4x-12x equals option c

Answer:

You're going to myltiply -6 ×-2/3 which will equal positive 4 and -6 ×2x which is going to equal-12. So your answer is 4-12x

Answer:

Do you mean to multiply? you don't have any sign. if you meant multiply its 15, if you meant divide it's 1 2/3, if it's addition it's 8, if its subtraction it's 2

Answer:

4(n-8)

Step-by-step explanation:

take out 4 from 4n-32

so it's 4(n-8) coz 32÷4=8 so yeah

Step-by-step explanation:

7x + 4x = -23 - 10

or, 11x = -33

or, x = -33/11

or, x = -3

Therefore, x = -3.

Hope you got the answer.

Answer:

I believe 6/7 times 3/4 in the simplest form is 9/14 because you aren't able to put anything in both of those numbers

Step-by-step explanation:

The value of x in the equation (6/7) × (3/4) = x is 9/14.

To find the value of x in the equation (6/7) × (3/4) = x.

We can simply multiply the two fractions together.

Multiplying the numerators and denominators gives us:

(6 × 3) / (7 × 4)

= 18/28

The fraction 18/28 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.

(18/2) / (28/2)

= 9/14

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

Step 1

Step-by-step explanation:

they forgot the negative

Answer:

The answer is x=4.

Step-by-step explanation:

Have a great day!

Answer:

2.9 miles

Step-by-step explanation:

If she ran a total of 6.1 miles then you just do 6.1 - 3.2 = 2.9 miles

Answer:

Sara ran 3.2 miles on Monday and another distance on Tuesday.

She ran a total of 6.1 miles on Monday and Tuesday.

How many miles did Sara run on Tuesday?

Enter your answer as the correct value, like this: 4.2

Step-by-step explanation:

Correct value: 3.1?

I think its right

Answer:

63 Days

Step-by-step explanation:

Add my discord kisS_My_Axe101#8338

Answer:

8 cups of water

Step-by-step explanation:

63/7=9

72/9=8

Answer:

Step-by-step explanation:

quadratic formula

x = -(-5)+

Answer:

y = 8 and x = 8 sqrt(3)

Step-by-step explanation:

sin(60)=x/16

16sin(60)=x

x=8 sqrt(3)

cos(60)=y/16

16cos(60)=y

y=8

Answer:

y =5(x+2)2−6 is the correct ans

The vertex form of quadratic equation is expressed as:

y = a (x - h) + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x+ 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x + 4x +4)

We simplify the right-hand side as:

y =5(x+2)2−6

(hope that helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The vertex form is one of the most commonly used forms for quadratic functions, as it emphasizes the dimensions of the substring graph's vertex.

[tex]\to y= 5x^2+20x+11\\\\[/tex]

Solving the equation:

[tex]\to y= 5(x+2)^2-9\\\\\to y= 5 (x^2+2^2+ 2\times 2 x)-9\\\\\to y= 5 (x^2+4+ 4x)-9\\\\\to y= 5x^2+ 20+ 20x-9\\\\\to y= 5x^2+ 20x +11\\\\[/tex]

So, the value is "5(x+2)²-9".

Find out more about the vertex form here:

brainly.com/question/13921516

9514 1404 393

Answer:

  2

Step-by-step explanation:

The recommended way to multiply mixed numbers is to convert them to improper fractions. Where there are factors that cancel, this works nicely.

  [tex]1\dfrac{2}{3}\times1\dfrac{1}{5}=\dfrac{5}{3}\times\dfrac{6}{5}=\dfrac{5\cdot3\cdot2}{5\cdot3}=\boxed{2}[/tex]

Answer:

9.42m , $423.9

Step-by-step explanation:

C = 2πR

so, 2*3.14*1.5

=9.42478m

9.42*$45

= $423.9