What is the final price if you get to take 25% off of $75 for a day of Go-cart racing?

x-3y=7 and 4x+2y=14

x=7+3y

using substitution method.

substitude x=7+3y in 4x+2y+=14

4(7+3y)+2y=14

28+12y+2y=14

28+14y=14

14y=14-28

14y=-14

y=-14÷14

y=-1

x=7+3y

x=7+3(-1)

x=7-3

x=4

ans. the solution to this system of linear equation is (4,-1)

PLEASE MARK BRAINLIEST

Answer:

Step-by-step explanation:

Your first equation is y=10x+20

Your slope is 10 and your y-intercept is 20 in this first equation

Your second equation after it has changed, your new equation is y=30x+45

Your slope is 30 and your y-intercept is 45 in this second equation

I hope this helps!

The equation of line is y = 30x + 45 , where x is the number of hours

The slope of the line = 30

The y intercept of the line = 45

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the initial amount of charge for the stable be = $ 45

Let the amount per hour for the stable be = $ 30

Let the total number of hours be = x

Now , the total amount for the stable in x hours = initial amount of charge for the stable + ( total number of hours x amount per hour for the stable )

Substituting the values in the equation , we get

y = 30x + 45

The equation is of the form y = mx + b , where m is the slope and b is the y intercept

Therefore, the value of A is y = 30x + 45

Hence , the equation of line is y = 30x + 45

To learn more about equation of line click :

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#SPJ2

Answer:

Factoring

Step-by-step explanation:

[tex]2x^2+7x+3=0\\x^2+7x+6=0\\(x+1)(x+6)=0\\(2x+1)(x+3)=0\\x=-\frac{1}{2} ,x=-3[/tex]

Answer:

The cost of 3 lessons would be $70, and Marlowe can have 4 lessons without exceeding $100.

Step-by-step explanation:

Number of Lessons & Costs

0- 10

2- 50

4- 90

6.- 130

The equation for this would be y = 20x + 10

To find the price for 3 lessons, plug 3 as x in the equation

y = 20(3) + 10 = 70

The cost for 3 lessons would be $70

20(4) + 10 = 90

20(5) + 10 = 110

5 lessons would be $10 over. With $100, Marlowe will be able to have 10 lessons with $10 left.
P.S., Sorry I can't graph it too, and sorry I didn't respond as  quickly as I would.

Answer:

9 [tex]\huge\checkmark[/tex]

Step-by-step explanation:

Hi there!

Plug in the value of a:

27÷a

27÷3

9 (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*}[/tex]

Answer:

9

Step-by-step explanation:

a = 3

27 / 3

= 9

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known.

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

∠ 13 and ∠ 14 are adjacent angles on a straight line and sum to 180° , then

4x + 11 + 3x + 1 = 180 , that is

7x + 12 = 180 ( subtract 12 from both sides )

7x = 168 ( divide both sides by 7 )

x = 24

Answer:

Step-by-step explanation:

The y-intercept falls at the point where x-coordinate is zero.

It means the y-intercept is the score when zero time spent on homework.

Correct answer choice is C

Answer:

ITS D GOOD LUCKKKK ON THE REST

Answer:

185490

Step-by-step explanation:

1st number 18

2nd number 18 x 3 =54

3rd number 18 x5 =90

Answer:

52

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·3+4·3+4·2)=52

Answer:

A=bxh

=3x4

=12

(12 x a total of 2 same sides =24)

A=bxh

= 3x2

=6

(6x2=12)

A= bxh

= 2x4

= 8

(8x2=16)

24 + 12 +16 =52

Total surface area is 52

Hope this helps!

Answer:

just do 19 +3+37 in and that all together you’ll get your answer

Step-by-step explanation:

Answer:

C)  3 feet

Step-by-step explanation:

P = 2l + 2w

14 = 2(4) + 2w

14 = 8 + 2w

6 = 2w

3 = w

Answer:

4x+5x=90

9x=90

x=90/9

x=10

4x=40

5x=50

hence the angles are 40 degree and 50 degree respectively.

Hope this may help you

Thank you

Answer:

3 1/2 × 1 2/3 = 5 5/6.

Answer:

= 4 2/3

Step-by-step explanation:

make fractions like that into improper

7/2 * 4/3

tthen multiply tops and multiply bottomes, anfd then reduce

Statement:

The base of a triangle is 3m and its height is [tex]10 \frac{1}{2} [/tex] m.

To find out:

The area of the triangle.

Solution:

[tex] \sf \: area \: \: of \: \: a \: \: triangle = \frac{1}{2} \times base \: \times height[/tex]

[tex] \sf = (\frac{1}{2} \times 3 \times 10 \frac{1}{2} ) {m}^{2} \\ \sf = ( \frac{1}{2} \times 3 \times \frac{21}{2} ) {m}^{2} \\ = \sf \frac{63}{4} {m}^{2} \\ = \sf 15\frac{3}{4} {m}^{2} [/tex]

Answer:

The area of the triangle is [tex] \sf \: 15 \frac{3}{4} {m}^{2} [/tex]

Hope you could understand.

If you have any query, feel free to ask.

Answer:

Area of triangle = [tex]\boxed{\sf{15\dfrac{3}{4}}}[/tex] m².

Step-by-step explanation:

Here's the required formula to find the area of triangle :

[tex]\longrightarrow{\pmb{\sf{Area_{(\triangle)} = \dfrac{1}{2} \times b \times h}}}[/tex]

Substituting all the given values in the formula to find the area of triangle :

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = \dfrac{1}{2} \times b \times h}}[/tex]

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = \dfrac{1}{2} \times 3 \times 10 \dfrac{1}{2}}}[/tex]

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = \dfrac{1}{2} \times 3 \times \dfrac{20 + 1}{2}}}[/tex]

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = \dfrac{1}{2} \times 3 \times \dfrac{21}{2}}}[/tex]

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = \dfrac{1 \times 3 \times 21}{2 \times 2}}}[/tex]

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = \dfrac{3 \times 21}{2 \times 2}}}[/tex]

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = \dfrac{63}{4} \: {m}^{2} }}[/tex]

[tex]\twoheadrightarrow{\sf{Area_{(\triangle)} = 15\dfrac{3}{4} \: {m}^{2} }}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Area_{(\triangle)} = 15\dfrac{3}{4} \: {m}^{2}}}}}}[/tex]

Hence, the area of triangle is [tex]\bf{15\dfrac{3}{4}}[/tex] m².

[tex]\rule{300}{2.5}[/tex]

Answer:

(0,1)

Step-by-step explanation:

Cause you move down 4 units and up 4 units

You just went down 4 units and came back to where you start at.

The Given Quadratic Equation is bx + c = 0

[tex] \sf \: so \: \: \: \: \: a = 9 \: \: \: \: \: \: \: \: \: \: b = 7 \: \: \: \: \: \: \: \: c = - 2[/tex]

We Know That Determinant (D) = b²– 4ac

The Determinant of The Equation is Positive So,

The Expression Contains Real Root.

The area of the sidewalk is the amount of space it occupies

The area of the sidewalk is 1296 square inches

The dimension of the carpet tile is 36 inches by 36 inches

So, the area is:

[tex]Area = 36 * 36[/tex]

Evaluate the product

[tex]Area = 1296[/tex]

Hence, the area of the sidewalk is 1296 square inches

Read more about areas at:

https://brainly.com/question/24487155

Answer:

$195.30

Step-by-step explanation:

8.5% of $150 = 85/1000 x 150

= 17/200 x150

= 17 x 3 / 4

= 51 / 4

= $12.75

Bill after tax = 12.75 + 150 = $162.75

20% of 162.75 = 1/5 x 162.75

= $32.55

Bill after tax and tips = 162.75 + 32.55 = $195.30

BRAINLIEST?

YEP, THAT'S IT.

Answer:

195.3 $

Step-by-step explanation:

In oder to find tax

     ( 150 ×8.5)÷100 = 12.75

In ordrr find tip

   ( 150 × 20) ÷ 100 = 32.55

So now add up

 150 + 12.75 +32.55 = 195.3

Answer:

Kane

Step-by-step explanation:

Answer:

lijah dyer

Step-by-step explanation:

L + i + j + a + h = Lijah

D + y + e + r = Dyer

equation = A + B = C

A = Lijah | B = Dyer | C = Lijah Dyer

Answer:

The total number of hardwood mulch is 48 and pine bark mulch is 128 and this can be determine by forming the linear equation in two variables.

Given :

A local boys club sold 176 bags of mulch and made a total of $520.

Sold two types of mulch : hardwood for $3.50 a bag and pine bark for $2.75 a bag.

Let the number of hardwood mulch be x and the number of pine bark mulch be y then the total number of mulch will be:

  --- (1)

And the total amount is given by the equation:

   ----  (2)

Substitute the value of y in equation (2).

y = 128

Now, put the value of y in equation (1).

x = 176 - 128

x = 48

So, the total number of hardwood mulch is 48 and pine bark mulch is 128

Step-by-step explanation:

Answer:

x = 7/4

Step-by-step explanation:

2 1/4 = 1 2/7 ÷ x

change mixed numbers to improper fractions:

9/4 = 9/7x

multiply each side by 7/9 to isolate 'x':

9/4(7/9) = x

63/36 = x

x = 7/4 (simplified)

Answer:

3 cups of flour.

Step-by-step explanation:

For 3 dozens of muffins we use 2.25 cups of flour. To find out how much flour we need for 4 dozens of muffins, we first need to know how much flour we need for 1 dozen of muffins.

3 dozens of muffins = 2.25 cups of flour

3/3 dozens of muffins = 2.25/3 cups of flour

1 dozen of muffins = 0.75 cups of flour.

Now that we know how much flour we need for one dozen of muffins, we can multiply it by 4 and get our answer.

1*4 dozens of muffins = 0.75*4 cups of flour

4 dozens of muffins = 3 cups of flour.

Hope this helps.

Answer:

3 cups of flour

Step-by-step explanation:

2.25/3 = 0.75
so one dozen muffins need 0.75 cups of flour

0.75 * 4 = 3

so 4 dozen muffins need 3 cups of flour

Answer:

1 and 8 are alternate exterior

8 and 5 are corresponding

3 and 2 are vertical

6 and 3 are alternate interior