All categories

2 years ago

A store is having a 20% off sale. If the

Mathematics

2 answers:

Alik [6]2 years ago

7 0

Answer:

Step-by-step explanation:incorrect

Aleks [24]2 years ago

3 0

Answer:

$64.32

Step-by-step explanation:

What you do is:

$53.60×20% → $53.60×0.2

$53.60×0.2=$10.72

$10.72 is the amount of money taken off because of the sale.

Then what you do is:

$53.60+$10.72=_____

53.60

64.32

The original price was $64.32.

Hope this helps! Please mark my answer brainliest!

You might be interested in

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

2 years ago

A new gas- and electric-powered hybrid car has recently hit the market. The distance traveled on 1 gallon of fuel is normally di

Doss [256]

Answer:

a) P [ Z > 70 ] = 0.1075 or 10.75 %

b) P [ Z < 60 ] = 0.1038 or 10.38 %

c) P [ 55 ≤ Z ≤ 70 ] = 0.8882 or 88.82 %

Step-by-step explanation:

Normal Distribution μ = 65 and σ = 4

a) The probability of the car travels more than 70 miles per gallon is:

P [ Z > 70 ] = (Z-μ) ÷ σ ⇒ P [ Z > 70 ] = (70-65) ÷4 P [ Z > 70 ] = 1.25

the point 1.25 corresponds at values, from left tail up to 70 so we must go and look for the area for the point 1.24 which is 0.8925. Then we have the area or probability of all cars traveling up to 70 miles therefore we have to subtract 1 -0,8925

P [ Z > 70 ] = 0.1075 or 10.75 %

b)The probability of the car travels less than 60 miles per gallon is:

P [ Z < 60 ] = ( 60 - μ ) ÷ σ ⇒ P [ Z < 60 ] = (60-65)÷ 4 P [ Z < 60 ] = -1.25

Again -1.25 corresponds to 60 miles per gallon threfore we move to the left and find for point -1.26 which area is 0.1038 so

P [ Z < 60 ] = 0.1038 10.38 %

c) P [ 55 ≤ Z ≤ 70]

For point Z = 70 or 1.25 (case a above) P [ Z ≤ 70] = (70-65)÷4

P [ Z ≤ 70] = 1.25

In this case we got the whole area from the left tail up to 1.25

P [ Z ≤ 70] = 0.8944 (includes the area of the point from the left tail up to the point assocciated to 55 miles and for that reason we have to subtract that area)

P [ Z ≥ 55 ] = (55-65) ÷ 4 P [ Z ≥ 55 ] = -2.5 and the area is 0.0062

So P [ 55 ≤ Z ≤ 70 ] = 0.8944 - 0.0062 = 0.8882

8 0

2 years ago

Laura has 3.85 pounds of bananas. She goes to the store to buy 2.75 more pounds of bananas to make banana bread. Each loaf requi

Inessa [10]

Answer:

Step-by-step explanation:

3.85+2.75= 6.6

6.6÷0.30= 22

6 0

2 years ago

Read 2 more answers

Factorise 15x-5 <br> factorise x^2-5x+6

kotegsom [21]

5(3x-1) (x-3)(x-2) I don't know if you want working out or an explanation? Or if it's too late, sorry.

5 0

2 years ago

What is X equal to? PS it’s not 180

AVprozaik [17]

Answer:

x = 47

Step-by-step explanation:

86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka

86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)

2x = 94 (divide both sides by 2 to get x by itself)

x = 47

7 0

1 year ago