In a sale the original price of a bag is reduced by 20% to $160. Calculate the original price of the bag​

The slope of a line often referred to as the ([tex]\frac{rise}{run}[/tex]) is the rate of change in a line. It can be found using the following formula.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line. For each problem, substitute the points on the line into the formula and solve for the slope.

1. [tex]\frac{1}{2}[/tex]

(0, 2), (-2, 1)

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

2. 2

(-2, -1), (0, 3)

[tex]=\frac{3-(-1)}{0-(-2)}\\\\=\frac{3+1}{0+2}\\\\=\frac{4}{2}\\\\=2[/tex]

3. 4

(1, 0), (2, 4)

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

4. 1

(6, 2), (2, -2)

[tex]=\frac{-2-2}{2-6}\\\\=\frac{-4}{-4}\\\\=1[/tex]

5.[tex]\frac{3}{5}[/tex]

(-1, 1), (4, 4)

[tex]=\frac{4-1}{4-(-1)}\\\\=\frac{3}{4+1}\\\\=\frac{3}{5}[/tex]

6. [tex]\frac{1}{3}[/tex]

(-7, 4), (2, 1)

[tex]=\frac{4 -1}{2-(-7)}\\\\=\frac{3}{2+7}\\\\=\frac{3}{9}\\\\=\frac{1}{3}[/tex]

7. 0

(5, -3), (-2, -3)

[tex]=\frac{-3-(-3)}{-2-5}\\\\=\frac{-3+3}{-7}\\\\=0[/tex]

8. [tex]\frac{7}{5}[/tex]

(-3, 2), (2, 7)

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

9. 8

(2, 16), (3, 24)

[tex]=\frac{24-16}{3-2}\\\\=\frac{8}{1}\\\\=8[/tex]

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

Answer:

[tex]19\text{ and }71[/tex]

Step-by-step explanation:

Let the smaller number be [tex]x[/tex]. The larger number can be represented by [tex]3x+14[/tex]

Solving, we get:

[tex]x+3x+14=90,\\4x+14=90,\\4x=76,\\x=\boxed{19}[/tex]

The larger number is therefore [tex]90-19=\boxed{71}[/tex]

Answer:

The distance from the house to the school is 500 units

Step-by-step explanation:

The distance we want to calculate represents the hypotenuse of the right triangle

So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse

The base side measures (350-50 = 300 units)

The measure of the height is (450-50 = 400 units)

Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

h^2 = 300^2 + 400^2

h^2 = 90,000 + 160,000

h^2 = 250,000

h = √250,000

h = 500 units

Answer:

Answer: d + n = 22 and 0.1 d + 0.05n = 1.9 Step-by-step explanation: Let d be the number of dimes and n the number of nickels. Total dimes = 22 Therefore, d + n = 22 1 dime = 10 cents = 0.1 1 nickel = 5 cents = 0.05 Value of 22 dimes = $ 1.90 So , 0.1d + 0.05n = 1.9 Therefore, d + n 22 and 0.1d + 0.05n = 1.9 models the given% D% 3D situation. Leave a comment Send It might interest you

Answer:

B. d + n = 22 and 0.1 d + 0.05n = 1.9

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

If both sides of the expression are equal, any number given as X would fit, meaning that there are infinitely many solutions.

Answer:

it is option 3

Step-by-step explanation:

-4(5p+3)

by opening brackets, you get

-20p -12

Answer:

4x⁴-3x⁴+5x³-3x²+1

Step-by-step explanation:

Given that p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5x^2

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - (3x^4-2-x+5x^2)

p (x) - q (x)​ = 3x^3+2x^2+4x^4+3 - 3x^4 + 2 + x - 5x^2

Collect the like terms

p (x) - q (x)​ = 4x⁴-3x⁴+3x³+2x²-5x²+x+3-2

p (x) - q (x)​  = 4x⁴-3x⁴+5x³-3x²+1

This givess the difference

Answer:

about 15.328 yrds

Step-by-step explanation:

two sides are 5 yrds, so 5+5= 10yrds. two sides are 8 ft, 8+8=16 ft. there are .3333 yrds in 1 foot so 16*.3333 = about 5.328yrds

10+5.328 = 15.328

Answer:

I think choose (c)

4x+1/x²-5

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

[tex]r=\frac{75.36in}{2\pi } = 11.99 in[/tex]

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

[tex]A=\pi r^2=\pi (11.99^2)=451.7in^2[/tex]

The area that covers the circular pizza is: 451.64 in.²

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

Learn more about the area of a circle on:

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4,756 rounded to the nearest thousand is 5,000.

Answer:

rounded to the nearest thousands 4,756 is 5,000 since 7 is higher then 4 so it rounds up

Answer:

13

Step-by-step explanation:

Product is multiply

h * 5 = 65

Divide 5 on both sides

h * 5 = 65

/5 /5

h = 13

Answer:

25.5 / 3 = 8.5

Step-by-step explanation:

8.5 times more student prefer basketball over soccer

Answer:

d

Step-by-step explanation:

Answer:

Part A

The width of the garden is approximately 3.987 meters

Part B

Please find attached the drawing of the solution

Step-by-step explanation:

Part A

The given parameters are;

The dimensions of the backyard of the home = 25 m by 30 m

The width of the garden to be built in the yard = Uniform width

The shape of the grass left inside = Rectangular

The area of the grass at the center = The area of the garden

Let 'x' represent the width of the garden, we have;

The length of the rectangular grass area at the center, l = 30 - 2·x

The width of the rectangular area of grass at the center, w = 25 - 2·x

The area of the rectangular backyard, A = 30 m × 25 m = 750 m²

The area of the rectangular backyard, A = (The area of the garden) + (The area of the rectangle of grass inside)

The area of the rectangle of grass, GA = (30 - 2·x)·(25 - 2·x) = The area of the garden

The area of the rectangular backyard, A = 750 = (30 - 2·x)·(25 - 2·x) + (30 - 2·x)·(25 - 2·x)  = 2 × (30 - 2·x)·(25 - 2·x) = 8·x² - 220·x + 1,500

∴ 750 = 8·x² - 220·x + 1,500

8·x² - 220·x + 1,500 - 750 = 0

8·x² - 220·x + 750 = 0

x = (220 ± √(220² - 4 × 8 × 750))/(2 × 8)

x ≈ 23.513, or x = 3.987

When x = 25.513, the width of the rectangle of grass inside, w = 25 - 2 × 23.513 = -22.026, which is not a natural (physically possible)

Therefore, the possible width of the garden, x ≈ 3.987

Part B

The drawing of the solution created with MS Visio is attached

Answer:

If Y was the center, it wouldn't be possible for a circle to pass through all 3 points; L, M and N. Statement 4 is the true answer, as it is possible for a circle to pass through all 3 points; D, E and F if Y was the center. Also, Y is the circumcenter of triangle DEF, so this statement must be true.

Answer:61

Step-by-step explanation:

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

Answer:

7.6 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

A hemisphere is 1/2 of  a sphere

V = 1/2 (4/3 pi r^3)

V = 2/3 pi r^3

920 = 2/3 pi r^3

Multiply each side by 3/2

920 * 3/2 = 3/2 * 2/3 pi r^3

1380 = pi r^3

Divide each side by pi

1380/pi = pi r^3 / pi

1380/ pi = r^3

Using pi as 3.14

1380/3.14 = r^3

439.4904459= r^3

Taking the cube root of each side

(439.4904459)^(1/3)= r^3^(1/3)

7.602967711=r

To the nearest tenth

7.6 = r

radius=7.6ft

Answer:

Solution given:

radius [r]=?

Volume of hemisphere=920ft³

⅔*πr³=920

r³=920*3/(2π)

r³=439.267

r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]

Answer:

6

Step-by-step explanation:

6(1×2) - 3(2)

6×2 - 6

12-6

= 6

here you go

please help with mine

Answer:

a) Price increased by 75%

b) Price decreased by 42.85%  (or 43% approximate)

Step-by-step explanation:

$ 40 increased by ____ % to $70

[tex]Percentage\ increase = \frac{difference}{ original} \times 100[/tex]

                             [tex]= \frac{70 - 40 }{40} \times 100\\\\=\frac{30}{40} \times 100\\\\= 75 \%[/tex]

$70 decreased by ______ % to $40

[tex]Percentage \ decrease = \frac{difference }{ original } \times 100[/tex]

                               [tex]= \frac{70 - 40 }{70} \times 100 \\\\= \frac{30}{70} \times 100\\\\=42.85 \%[/tex]

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

Answer:

12.2

Step-by-step explanation:

Answer:

They have no minimum y -value

The minimum value for y belongs to f(x) at x=0 and function f(0)=(-2), Option D is correct.

The given function f(x)= x⁵-2

Differentiating the function we get,

5x⁴=0

x=0

Therefore, f(x)=f(0)=0-2=(-2)

Now function g(x)=3x²+1

Differentiating the function we get,

6x=0

x=0

Therefore, g(x)=g(0)=0+1=1

The minimum value for y belongs to f(x) at x=0 and f(0)=(-2)

To learn more on Functions click:

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Answer:

42, 56, 70

Step-by-step explanation:

A right triangle must always have a ratio of side lengths that allow it to connect fully.

Answer:

B

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

(x + 1)(x + 4) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 1 = 0 ⇒ x = - 1

The x- intercepts are (- 4, 0 ) and (- 1, 0 )

Answer:

4^3 = 64

Step-by-step explanation:

Starting rabbit : 4

1st time counting : 4 x 4 = 16

2nd time counting : 16 x 4 = 64

Answer = 4^3 = 64

If this helps you, please mark brainliest!

Have a nice day!

Answer:

I think it is 20 but I'm not sure. Sorry if you get it wrong.

Step-by-step explanation:

It's definatly not 4 or 7 because those lengths are too short to be where the question mark is. And 45 is too big for the missing length side.

Thx.

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps