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Answer:

x =53.85

Step-by-step explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form

.78x = 42

Divide each side by .78

.78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

So the equation you want to use is this:   [tex]\frac{y2-y1}{x2-x1}[/tex]

1.) Plug in

[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]

This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)

-6 = 0(2) + b (b represents y-intercept) (0*2=0)

-6 = b

So the equation is y = -6

2.) Do the same thing.

[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]

It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)

3 = 5/3(6) + b (5/3*6 = 10)

3 = 10 + b (subtract 10 on both sides)

-7 = b

y = 5/3x - 7

3.) For this one you are just going to point slope form. y - y1 = m(x - x1)

Plug in

y - 5 = 0(x - (-8))

y - 5 = 0 (add 5 to both sides)

y = 5

4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one

Plug in

[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]

So the slope is -3. Plug into y = mx + b with the point (2, -5)

-5 = -3(2) + b (b represents y-intercept)

-5 = -6 + b (add 6 to both sides)

1 = b

The equation is y = -3x + 1

5.) Do the same thing as #4

[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]

This slope is undefined

Since you can't divide by 0 the equation would be

x = -3

Hope this helps ya!!

Answer:

1. If you're taking square roots, the number must be a perfect square to give a rational root.

64 = 8^2, so √64 = 8 is rational

Similarly, since

64 = 4^3, ∛64 = 4 is rational.

For small numbers, it's easy to check for possible roots, as there aren't that many candidates. In general, it's much more difficult.

2.

Step-by-step explanation:

Answer:

I believe volume is three dimensions. And thus three terms, so I don't believe you have the right setup. Or you need to clarify something somewhere.

Step-by-step explanation:

Answer:

r=0

Step-by-step explanation:

the line passes through the origin which means there is no y-intercept

Answer:

Step-by-step explanation:

5.23x+3.76-3.67x+6.39

x(5.23-3.67) +(3.76+6.39)

1.56x + 10.15

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

Answer:

44$

Step-by-step explanation:

Answer:

Answer

5.0/5

7

PiaDeveau

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22.1M people helped

The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Step-by-step explanation:

Answer:

$4.80

Step-by-step explanation:

6 oranges for 1.80

sp 6 divided by 1.80 comes out to 0.3 per orange

0.3 times 16 comes out to 4.80

therefor $4.80

Answer:

$4.80

Step-by-step explanation:

1.80/6=0.3

0.3=$0.30 for each orange

16×0.3=4.8

4.8=$4.80 for 16 oranges

Answer:

f(3)= 4

Step-by-step explanation:

x= -3=0

x= 3

f(3)=(3+3)-2

f(3)= 6-2

f(3)= 4

4+1+1=6

Step-by-step explanation:

she already has 4 necklaces so than she got 2 for a dollar so that equals 6.

Answer:

Length of rectangle = 36 yd and width of rectangle = 9 yd

Step-by-step explanation:

Let width of rectangle = w

Length of rectangle = 4w (four times the width)

Perimeter of rectangle = 90 yd

We need to find length and width of rectangle.

The formula used will be: [tex]Perimeter \ of \ rectangle=2(l+w)[/tex]

Where l is length and w is width

Putting values and finding length and width of rectangle

[tex]Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9[/tex]

So,width (w) of rectangle is w= 9 yd

Finding length of rectangle = 4w = 4*9 = 36 yd

So, length of rectangle = 36 yd and width of rectangle = 9 yd

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

Answer:

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Step-by-step explanation:

From Physics we understand that conversions are represented by the following linear equation:

[tex]u' = r\cdot u[/tex] (1)

Where:

[tex]u[/tex] - Original value, measured in original unit. (pounds)

[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)

[tex]u'[/tex] - Final value, measured in final unit. (gallons)

If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:

[tex]A = \frac{W}{8.34}[/tex]

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Answer:

After 5 hours of service, both babysitting services would cost the same.

Step-by-step explanation:

Babysitter's Block: y = 15x + 25

Super Sitters: y = 20x

15x + 25 = 20x

Subtract 15x from both sides;

25 = 5x

Divide both sides by 5;

x = 5

For 5 hours of service, both babysitting services would cost the same.

The fractional equivalent of the repeating decimal 0.5 is 5/9.

To convert the repeating decimal into a fraction, we can assign a variable, let's say x, to the repeating decimal. In this case, x = 0.5555...

Next, we multiply both sides of the equation by a power of 10 that will eliminate the repeating part.

10x = 5.5555...

Now,we subtract the original equation from the new equation to eliminate the repeating part:

10x - x = 5.5555... - 0.5555...

9x = 5

Simplifying the equation, we get:

x = 5/9

Therefore, the correct answer is A. 5/9.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

The complete question is

What is the fractional equivalent of the repeating decimal 0.5?A.5/9B.1/2C.5/99D.5/100

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

Answer:

%62.5

Step-by-step explanation:

Im pretty sure you jsut divide 5/8 and then multiply by 100 to get a percent

5/8=.625

.625*100=62.5

%62.5

Answer:

3 percent because 8-5=3

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

i took the test

y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).

The slope-intercept form of a straight line is y = mx + c.

Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.

Given, two points are C(1, 1) and (3, 5).

Therefore, equation of the line CD is:

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

⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{1-3}{1-5}}[/tex]

⇒  [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{-2}{-4}}[/tex]

⇒2(x - 1) = (y - 1)

⇒ y = 2x - 1

Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).

Therefore, slope of the line CD is = 2.

We know, slope of CD × slope of AB = -1

Therefore, slope of AB = -1 / slope of CD = [tex]-\frac{1}{2}[/tex].

Now, line AB has a slope of [tex]-\frac{1}{2}[/tex] and passes through the point (-1, 6).

Therefore, equation of the line AB is:

(y - y₁) = m(x - x₁)

⇒ [y - (6)] = [tex]-\frac{1}{2}[/tex][x - (- 1)]

⇒ 2(y - 6) = (-x - 1)

⇒ 2y - 12 + x + 1 = 0

⇒ x + 2y = 11

⇒ y = - 0.5x + 5.5

Learn more about slope-intercept form of a straight line here: https://brainly.com/question/12763756

#SPJ2

Answer:120/2.5%

Step-by-step explanation:

Let's simplify step-by-step.

7x−2+10x+x+6x

=7x+−2+10x+x+6x

Combine Like Terms:

=7x+−2+10x+x+6x

=(7x+10x+x+6x)+(−2)

=24x+−2

Answer:

=24x−2 <----

Answer:

probably 24x-2

Step-by-step explanation:

combine like terms

Answer:

2) 8x^2 -6x-7 hope this helps

Answer:

The Trench or The Mariana Trench is the deepest part of the ocean.

Answer:

B) trench

Step-by-step explanation:

The deepest part of the ocean is called the Challenger Deep and is located beneath the western Pacific Ocean in the southern end of the Mariana Trench

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Answer:

x=242/3

alternative form= 80 2/3, x=80.6

Step-by-step explanation:

3x-4y=242

substitute y = 0

3x-4x0=242

calculate the product

3x-0=242

remove 0

3x=242

divide both sides (by 3 in order to leave x by itself)

done

Answer:

-3x^2-18x-40

Step-by-step explanation:

(x+3)^2: x^2+6x+9

= -3(x^2+6x+9)-13

Expand:

-3(x^2+6x+9): -3x^2-18x-27

= -3x^2-18x-27-13

Final Answer: -3x^2-18x-40

Answer:

-3x^2-18x-40

Step-by-step explanation:

-3(x+3)^2-13

-3(x^2+6x+9)-13

-3x^2-18x-27-13

-3x^2-18x-40

Answer:

That the graph of (f+g)(x) is a parent graph of f(x) and g(x)

Answer:

A. The leading coefficients of f(x) and g(x) are opposite

Step-by-step explanation: