rewrite this expression as an addition equation 2/5 - 3/5​

Divide the discount amount by original price:

12/80 = 0.15

Multiply by 100 to get percent:

0.15 x 100 = 15%

The discount is 15%

Answer:

y = 1x - 80

Step-by-step explanation:

Formula: y = mx + b

m = slope

b = y-intercept (where the line intersects the y-axis)

m = rise over run or y/x

r/r = 10/10 = 1

b = -80

y = mx + b

y = 1x - 80 or y = x - 80 (same thing)

y = 1x - 80

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Since the cross section is constrained to be perpendicular to the base, the shape of it is constrained to be a  Rectangle

Step-by-step explanation:

That rectangle may be a square, but is not required to be.

Answer:

Step-by-step explanation:

Any cross section that is perpendicular to the base will result in rectangular shape

Correct choice is C

Answer:

x=-5

Step-by-step explanation:

x/12-1=-6

  12-1

x/11=-6

 -11  -11

========

  x=-5

Hope that helps

Answer:two dimensional shapes

Step-by-step explanation:

Answer:

as the two lines are parallel to one another, they do not intersect (connect) at any point. therefore there is no solution and it is an INCONSISTENT SYSTEM.

Step-by-step explanation:

Answer:

250 berries

Step-by-step explanation:

We know that the ratio of berries to oranges is 10:1. This ratio tells us, for every one orange, there should be ten berries. But, now we have 25 oranges:

For every orange there are ten berries, and since we have 25 oranges, we can write an expression:

25 oranges * 10 = 250 berries

There are 250 berries.

I hope this helps! Please let me know if you have any further questions :)

Answer:

$478.06

Step-by-step explanation:

let's first start out by figuring out the present value of the loan

((20540*1.0825)+955+57)-3900

Which gives me a value of 23246.55

I'm then going to assume that the 8.6% is a nominal interest rate meaning that the effectively monthly rate is equal to .086/12=.0072

Which means we have

23246.55=X(a angle 60 at .0072) (i'm using annuities to solve this if you don't know what this is just ask)

Solve this and get $478.06

Answer:

C

Step-by-step explanation:

y is proportional to x, and constant of proportionality is ⅓:

y = ⅓x

Answer:

x=1 y=-9

Step-by-step explanation:

plug the given x and y values into the equation

y=-2(4)-1

y=-8-1

y=-9

1=-2x-1

+1 +1

2=-2x

/2 /2

1=x

Answer:

x = -81 / 19

Step-by-step explanation:

y = kx

-57 = 9k

k = -57/9 or -19/3

27 = [tex]\frac{-19x}{3}[/tex]

-19x = 81

x = -81 / 19

[tex]\\ \rm\bull\longmapsto x\propto y[/tex]

[tex]\\ \rm\bull\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \rm\bull\longmapsto x_2=x_1y_2\div y_1[/tex]

[tex]\\ \rm\bull\longmapsto x_2=\dfrac{9(27)}{-57}[/tex]

[tex]\\ \rm\bull\longmapsto x_2=\dfrac{243}{57}[/tex]

[tex]\\ \rm\bull\longmapsto x_2=-4.26[/tex]

[tex]\\ \rm\bull\longmapsto x_2\approx 4[/tex]

Answer:

8

Step-by-step explanation:

on usatestprep 2021

Answer:

no its an irrational number

Step-by-step explanation:

hope it helps im not 100%

Answer:

C. There are no factors of 3 that add up to -15

Step-by-step explanation:

N/A

Answer:

8.9 units

Step-by-step explanation:

Distance between (3, -2) and (7, 6) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].

Let,

[tex] (3, -2) = (x_1, y_1) [/tex]

[tex] (7, 6) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(7 - 3)^2 + (6 - (-2))^2} [/tex]

[tex] d = \sqrt{(4)^2 + (8)^2} [/tex]

[tex] d = \sqrt{16+ 64} [/tex]

[tex] d = \sqrt{80} = 8.9 [/tex] (nearest tenth)

Answer:

8 point 9  

i know

Answer:

Blueprint width of window = 1.5 in

Step-by-step explanation:

Missing;

Ratio model

3 in : 5 ft

Given:

Actual width of window = 2.5 feet

Find:

Blueprint width of window

Computation:

Blueprint width of window = Actual width of window x (3 in / 5 ft)

Blueprint width of window = 2.5 ft x (3 in / 5 ft)

Blueprint width of window = 1.5 in

Answer:

The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

64 + 16 = 80 children, of which 80 are girls. So

[tex]n = 80, p = \frac{64}{80} = 0.8[/tex]

92% confidence level

So [tex]\alpha = 0.08[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.08}{2} = 0.96[/tex], so [tex]Z = 1.75[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.722[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.878[/tex]

The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).

Answer:

y=2.5x+6

Step-by-step explanation:

y= weight

6 is the weight that the baby is born so you would add it to the end making it the b

5 pounds every 2 months so 2.5 pounds every 1 month.

The linear equation model is y = 2.5x+6.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.

Given that mother gives birth to a 6-pound baby. Every 2 months, the baby gains 5 pounds

We have to determine an equation of a line in the form y = mx + b that describes the baby's weight.

If x is the age of the baby in months, then y is the weight of the baby in pounds.

Since 5 pounds every 2 months

Therefore 2.5 pounds every 1 month.

We would add 6 at the end of the equation, which would result in the birth weight.

Thus, the linear equation model is y = 2.5x+6.

Learn more about the Linear equations here:

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Answer:

x = 15  over4 ,  y≈ 9.8  units

Step-by-step explanation:

Since triangles ABC and DEF are similar, their corresponding sides are in the same ratio.

hope this helps!

Answer:

91

Step-by-step explanation:

This is the answer, I took a pic of the work

Answer:

91

Step-by-step explanation:

2

13x

7

-------

9 1

7 X 3 = 21

7×1 =7

7+2 =8

8+1 = 9

Answer:

You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then

5 g - 12%,

x+5 g - 100%.

mathematically you can write a proportion;

5/x+5=12/100

=>500=12(x+5)

,500=12x+60

,12x=400,

x=440/12

=110/3

36.66 grams of water is added  to make 12% sugar syrup using 5g sugar.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

5/5+x=12/100

Apply cross multiplication

5×100=12(5+x)

500=60+12x

Subtract 60 from both sides

440=12x

Divide both sides by 12

x=36.66

Hence, 36.66 grams of water is added  to make 12% sugar syrup using 5g sugar.

To learn more on Ratios click:

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