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4 years ago

If she spent a total of $44.25 on fabric, what was the cost per yard? She bought 14 3/4. Explain how you solved

Mathematics

1 answer:

Deffense [45]4 years ago

6 0

$44.25 \div 14.75 = 3$
$44.25 total divided by how many yards (14.75) = $3/yard

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4(x−1)−3(2x−5)<br> plz help

nikitadnepr [17]

First you distribute. 4 to x-1 and 3 times 2x-5 you should get 4x-4-6x+15 because -3 times -5 is positive 15. Combine like terms 6x-4x is 2x and 15-4 is 11

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3 years ago

Read 2 more answers

Please help! ive been stuck on this for so long and i just keep getting frustrated can someone help walkme through this?

bagirrra123 [75]

For firework launched from height 100ft with initial velocity 150ft/sec, equation made is correct

(a) equation will be $h(t) = -16t^2+150t+100$

(b) Now we have to see when it will land. At land or ground level height h will be equal to 0. So simply plug 0 in h place in equation made in part (a)

$0 = -16t^2 + 150t + 100$

Now we have to solve this quadratic. We will use quadratic formula method to solve this equation.

$t = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$

a = -16, b = 150, c = 100.

Plugging these values in quadratic formula we get

$t = \frac{-150 \pm \sqrt{150^2-4(-16)(100)}}{2(-16)}$

$t = \frac{-150 \pm \sqrt{22500+6400}}{-32}$

$t = \frac{-150 \pm \sqrt{28900}}{-32}$

$t = \frac{-150+170}{-32} = \frac{20}{-32} = -0.625$

time cannot be negative so we will drop this answer

then $t = \frac{-150-170}{-32} = \frac{-320}{-32} = 10$

So 10 seconds is the answer for this

(c) To make table simply plug various value for t like t =0, 2, 4, 6, 8 till 10. Plug values in equation mad in part (a) and find h value for each t as shown

For t =0 seconds, $h = -16(0)^2+150(0)+100 = 100 feet$

For t =2 seconds, $h = -16(2)^2+150(2)+100 =336 feet$

For t =4 seconds, $h = -16(4)^2+150(4)+100 = 444 feet$

For t =6 seconds, $h = -16(6)^2+150(6)+100 = 424 feet$

For t =8 seconds, $h = -16(8)^2+150(8)+100 = 276 feet$

For t =10 seconds, $h = -16(10)^2+150(10)+100 = 0 feet$

(d) Axis of symmetry is given by formula

$x = \frac{-b}{2a}$

$t = \frac{-150}{2(-16)} =\frac{-150}{-32} = 4.6875$

t = 4.6875 is axis of symmetry line

(e) x-coordinate of vertex is again given by formula

$x = \frac{-b}{2a}$

so t = 4.6875

then to find y coordinate we will plug this value of t as 4.6875 in equation made in part (a)

For t =4.6875, $h = -16(4.6875)^2+150(4.6875)+100 = 451.563$

so vertex is at (4.6875, 451.563)

(f) As the firework is launched so in starting time is t=0, we cannot have time before t=0 (negative values) practically. Also we cannnot have firework going down into the ground so we cannot have h value negative physically.

6 0

3 years ago

community group bought 30 tickets to an amusement park at a total cost of $810. They bought x student tickets for $25 each and y

Zina [86]

it would be 18 student tickets and 12 adult tickets

18x25= 450

12x30 = 360

360+450 = 810

4 0

3 years ago

Convert 0.827 to a fraction or in simplest form

dangina [55]

<span>0.827 = 0.827 / 1

Numerator = 0.827 × 10 × 10 × 10 = 827
Denominator = 1 × 10 × 10 × 10 = 1000

Numerator / Denominator = 827 / 1000

Simplifying our fraction

= 827/1000

= 827/1000</span>

7 0

3 years ago

Pls answer with real answers only thank you

aev [14]

Answer: 32.35 cm^2

Step by step:

Find the area of the rectangle first.

A= L • W
A= 11 • 4.2
A= 46.2 cm^2

Then find the area of the circle. The formula is A= pi (r)^2. The diameter of the circle is 4.2 cm because looking at the width of the rectangle it fits into the circle as well.

Half of the diameter is 2.1 cm which is the radius.

A= pi (r)^2
A= pi (2.1)^2
A= pi (4.41)
A= 13.85 cm^2

Then you would subtract 13.85 from 46.2 to find the shaded portion.

Hope this helps :))

4 0

3 years ago