MATHEMATICS HIGH SCHOOL

Find the values of (x) for which the ball's height is 27
feet.
height (h)= 7+37x-16x^2

Answers

Answer 1
Answer: sett is to 27
27=7+37x-16x^2
multiply -1 both sides
-27=-7-37x+16x^2
add 27 both sides
16x^2-37x+20=0
use quadratic equation
if yo have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

1=16
b=-37
c=20

x=\frac{-(-37)+/- \sqrt{(-37)^(2)-4(16)(20)} }{2(16)}
x=(37+/- √(1369-1280) )/(32)
x=(37+/- √(89) )/(32)
aprox
x=0.861438 or 1.45106

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during a bike challenge, riders have to collect various colored ribbons. each 1/2 mile they collect a red ribbon, each 1/8 mile they collect a green ribbon, and each 1/4 mile they collect a blue ribbon. which colors of ribbons will be collected at the 3/4 mile marker?

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?

Answers

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

A pair of shoes is on sale for 80% of the original price the sale price is $60 what was the original price

Answers

You will set the equation up as part/whole = percent/100 and when you replace it with your numbers you get 60/x = 80/100 now you cross multiply and do 60*100 = 80 * x and you get 6,000 = 80x now you divide both sides by 80 then you get 75 was the original price

Find the slope between the two points: (9,9) and (12,15)

Answers

The slope formula is (Y2-Y1)/(X2-X1). For the two points, (x,y). You can pick any of the Y and X from these two points, but only once. (9-15)/(9-12) = (-6)/(-3) = 2 or (15-9)/(12-9) = (6)/(3) = 2 and both will equal to. The answer for the slope is 2.
Slope = Change in y / Change in x

Between (9, 9) and (12, 15).

We would use the coordinates from the second point minus that from the first point.

1st point = (9, 9),  2nd point = (12, 15)

Slope =  (15 - 9) / (12 - 9) 

         =  6 / 3

         =  2 

Slope = 2

Darius took a road trip to their grandmother's house. They drove at a constant speed of 60 miles per hour for 2 hours. They took a break and then finished the rest of their trip driving at a constant speed of 50 miles per hour for 2 hours. What was the total distance, in miles, of Darius' trip?

Answers

Answer: 220 miles

Step-by-step explanation:

Distance travelled is calculated as:

= Speed × Time

Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:

= (60 × 2) + (50 × 2)

= 120 + 100

= 220 miles

The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.Which are true statements when comparing the data in the box plots? Select three choices.

The data for elementary school are more consistent than those for middle school.

More of the data for middle school lie closer to the median than the data for elementary school.

About 50% of elementary school students watch between 4 and 7 hours of television each week.

About one-half of middle school students watch less than 2 hours of television each week.

On average, middle school students watch less television than elementary school students each week.

Answers

Answer:

i) The data for elementary school are more consistent than those for

  middle school.

iii) About 50% of elementary school students watch between 4 and 7  

    hours of television each week.

v) On average, middle school students watch less television than

   elementary school students each week.

Step-by-step explanation:

The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.

The true statements when comparing the data in the box plots

i) The data for elementary school are more consistent than those for

  middle school.

ii) More of the data for middle school lie closer to the median than the data

   for elementary school.

iii) About 50% of elementary school students watch between 4 and 7  

    hours of television each week.

iv) About one-half of middle school students watch less than 2 hours of

   television each week.

v) On average, middle school students watch less television than

   elementary school students each week.

Answer:

It's 1, 3, 5 Yw

Step-by-step explanation:

I am doing the test and that's what I got

What to numbers multiply to -100 but add up to -21?

Answers

-25 and 4

-25(4)=-100
-25+4=-21
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