Solve the system by substitution.
y = 10x
Y = -3x + 39

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

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:

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:

I think of having 81inches

Answer:

the answer is D

Step-by-step explanation:

Do rise over run and y intercept is 3

Answer:

12

Step-by-step explanation:

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:

12 treat bags

Step-by-step explanation:

Answer:

a)80

b)250

c)130

Step-by-step explanation:

Answer:

a)

Step-by-step explanation:

83 = 3 is less than 5

so,83-3=80

b) l27 = 7 is more than 5

so 127 + 3 =30

c) 245 = 5 is equal to 5

so 245+5=250

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

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

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

If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that,a =-5i and b = -4x

We have to find the value of a+b in a fully simplified form.

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

=a+b

= -5i-4x

Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ2

Answer:

addition

Step-by-step explanation:

in this case its addition , but the only reson it is going first is bc it sin the parenthasies

Answer:

X.

Step-by-step explanation:

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

Answer:

the correct answer to the problem is 9

Answer:

9

Step-by-step explanation:

3x - 1 = 26

3x = 27

x = 9

Answer:

540

Step-by-step explanation:

(n-2)×180

(5-2)×180

3×180

540

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:

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:

9.42m , $423.9

Step-by-step explanation:

C = 2πR

so, 2*3.14*1.5

=9.42478m

9.42*$45

= $423.9

Answer:

Step-by-step explanation:

quadratic formula

x = -(-5)+

Answer:

24 yard of the water fountain

Answer:

x= 1.125

Step-by-step explanation:

0.5 + 4x = 5

4x = 5 - 0.5

4x = 4.5

x = 4.5/4

x= 1.125

Answer:

x=1.125

Step-by-step explanation:

1/2+4x=5

5-1/2=4.5

4.5/5=1.125

-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..