Mrs. Lopez found a dining table on sale for 45% off. If the
original price was $1,250, how much did she pay for it?

Answer:

y = (-3/5)x + 4

Step-by-step explanation:

Parallel lines have the same slope.

So the slope to the other line would be -3/5 as well.

Slope-intercept form is y = mx + b where m is the slope.

So you substitute the slope in making it y = (-3/5)x+b.

To find b, the y-intercept, you have to plug in the point for y and x in it. So you use the point (5,1) for it. That would get to 1 = (-3/5)5 + b.

To simplify that, it would get to 1 = -3 + b

Then you add 3 on both sides getting to b = 4.

Then you substitute b in, getting y = (-3/5)x + 4.

Hope this helped! If not, please let me know! <3

An equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

Given that, a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, the slope of a line parallel to given line is m1=m2

By comparing y= (-3/5)x -3 with y=mx+c, we get m= -3/5

So, the slope of parallel line is -3/5

Now, put m= -3/5 and (x, y)=(5, 1), that is

1=-3/5 (5)+c

c= 4

So, equation with m=-3/5 and c=4, we have y=-3/5 x+4

Therefore, an equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

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Answer:

6% of 530 is 31.8 hope this is what you ment

Answer:

y=12x

Step-by-step explanation:

According to the table

48=12(4) which is true

60=12(5) which is true

96=12(8) which is true

Answer:

12, 60/5 is 12, 48/4 is 12, 96/8 is 12

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

Answer:

Joy will need to use 9 cups of strawberries for 6 cups of blueberries.

Step-by-step explanation:

Given,

Cups of blueberries used for 3 cups of strawberry = 2

Ratio of cups of blueberry to strawberry = 2:3

Joy wants to use 6 cups of blueberries.

Let,

x be the cups of strawberry for 6 cups of blueberries.

Ratio of cups of blueberries to strawberries = 6:x

Using proportion;

Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries

Product of extreme = Product of mean

Dividing both sides by 2

Answer:

TSA=115.5cm²

Step-by-step explanation:

T.S.A=3πr²

Given r=3.5cm

eq.

3×22/7×3.5×3.5

=3×22×0.5×3.5

=115.5cm²

Answer:

[tex]19.25cm^{2} \\[/tex]

Step-by-step explanation:

Formula

[tex]\frac{\pi r^{2} }{2}[/tex]

Solve

[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=

[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]

Answer:

35

Step-by-step explanation:

4x=64

divide that: =16

x=16

2(16)+3

35

Answer:

Step-by-step explanation:

The Massachusetts Body of Liberties were technically the first ever legal code system established by the colonists, and established a central court that had full rights and jurisdictions over the citizens.

Answer:

3/5x + 4/5 = y

or

y = 3/5x + 4/5

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To find the y-intercept just need to put 0 instead of x in the equation.

[tex] - 3(0) - 4 = - 5y - 8[/tex]

[tex] - 4 = - 5y - 8[/tex]

Add sides 8

[tex] -4 + 8 = - 5y - 8 + 8[/tex]

[tex] 4 = - 5y[/tex]

Divide sides by -5

[tex] \frac{4}{ - 5} = \frac{ - 5}{ - 5} y \\ [/tex]

[tex]y = - \frac{4}{5} \\ [/tex]

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To find the x-intercept just need to put 0 instead of y in the equation.

[tex] - 3x - 4 = - 5(0) - 8[/tex]

[tex] - 3x - 4 = - 8[/tex]

Add sides 4

[tex] - 3x - 4 + 4 = - 8 + 4[/tex]

[tex] - 3x = - 4[/tex]

Negatives simplifies

[tex]3x = 4[/tex]

Divide sides by 3

[tex] \frac{3}{3} x = \frac{4}{3} \\ [/tex]

[tex]x = \frac{4}{3} \\ [/tex]

Done...

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Answer:

10, 8, 6, 4, 2

Step-by-step explanation:

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

Answer:

x = -15/-3

Step-by-step explanation:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

Answer:

the answer is -9 not 8

Step-by-step explanation:

Answer:

The values of y for which the inequality is true are;

-4,-3,-2,-1,1,0,1

Step-by-step explanation:

Here, we want to give all the values of y for which the given inequality is true

We have the inequality as;

-5 < y < 2

This can be read as -5 is less than 5 which is less than 2

This means that the correct y-values lie between -5 and 2 which are not inclusive

So the correct values of y in this case are;

-4,-3, -2, -1 , 0, 1

Answer:

$10.40

Step-by-step explanation:

Multiply $130 with 0.08 to get the sales tax. 0.08 is the same as 8%, just in decimal form.

$130 * 0.08 = $10.40

Answer:

A.

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

(x, y) = (3, 0)

0 = -2/3 (3) + b

0 = -2 + b

b = 2

y = -2/3 x + 2

Answer: A.

Answer:

y = - 2/3 + 2

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = - 2/3x + b   Input Slope

Step 3:

0 = - 2/3 ( 3 ) + b       Input x and y

Step 4:

0 = - 2  + b     Multiply

Step 5:

2 = b       Add 2 on both sides

Answer:

y = - 2/3 + 2

Hope This Helps :)

Answer:

6060 feet

Step-by-step explanation:

6371-311=6060

The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.

Answer:

where is the figure and without figure what to do

answer:1.935825×10 to the sixth power

step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.

Answer; c= -d/a + b

Step-by-step explanation:

Answer:

To find the value of x

1. Solve what it is in the parentheses

2. Combine like numbers on each side of the equation if is possible

3. Subtract 12 on both sides of the equation

4. Subtract 3x on both sides of the equation

5. Divide by 6 both sides of the equation

Step-by-step explanation:

9x + 12 =  3(x-8)

9x + 12 = 3x -24

     -12          -12

      9x = 3x -36

     -3x   -3x

      6x = -36

       6        6

        x = -6

The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Since the equation is

9x + 12 = 3(x-8)

So

9x + 12 = 3x -24

6x = -36

x = -6

So based on this, we can say that The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Learn more about an equation here: https://brainly.com/question/17599700

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[tex] {k}^{2} + 8k + 22 = 6 [/tex]

Subtract sides 6

[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]

[tex] {k}^{2} + 8k + 16 = 0[/tex]

[tex] ({k + 4})^{2} = 0[/tex]

Thus ;

[tex]k + 4 = 0[/tex]

Subtract sides 4

[tex]k + 4 - 4 = - 4[/tex]

[tex]k = - 4[/tex]

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Answer:

Since your answer needs to be in walls per gallon I would assume you divide 4/5 by 5/8 since that would tell you how many walls he can paint in an hour.

4/5 walls÷5/8 gallons=1.28walls/gallon.

Step-by-step explanation:I hope this helps.  Let me know if anything is unclear.

Answer:

y = -2x+4

Exp:

Slope (m) =

ΔY

ΔX

=

-2

1

= -2

θ =

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 2 – 1 = 1

ΔY = 0 – 2 = -2

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = -2x + 4

When x=0, y = 4

When y=0, x = 2

Answer:

Step-by-step explanation:

Sara is faster she got a longer distance to Jorge

Answer:1

Step-by-step explanation:

I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1

Answer: The greatest common factor is 1

Step-by-step explanation:

49 is not even like 38 so the only one they have together in 1.

Answer:

equation of the line: y=1/2x-1

slope :1/2x

y intercept: -1

Step-by-step explanation:

using y1-y2/x1-x2:

-1-0/0-2= -1/-2=1/2

the slope is 1/2.

plug in the numbers from the given points to find the y intercept:

-1=1/2•0+b

b= -1

the y intercept is -1.

with that, you've gotten the slope and the y intercept, which means you just have to plug them into y=mx+b.

so, the equation of the line is y=1/2x-1

Answer:

The answer is 15

Step-by-step explanation:

Thats what I got

Answer:

They intercept at (-4.5, -11.5)

Step-by-step explanation: