How is math used in making murals?(subject:Collage and Career readiness)

There is an automatic fee of $10 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional

nignag [31]

Answer:

$20

Step-by-step explanation:

$10+(2*5)=20$

7 0

3 years ago

I need help please with this 1 problem

Lyrx [107]

Answer:

See below, please

Step-by-step explanation:

We know

$f(x) = {x}^{2} + 3x - 7$

$g(x) = 3x + 5$

$h(x) = 2 {x}^{2} - 4$

Hence

$f(g(x))$

$= {(3x + 5)}^{2} + 3 \times (3x + 5) - 7$

$= (9 {x}^{2} + 30x + 25) + (9x + 15) - 7$

$= 9 {x}^{2} + 39x + 33$

$h(g(x))$

$= 2 \times {(3x + 5)}^{2} - 4$

$2 \times (9 {x}^{2} + 30x + 25) - 4$

$= 18 {x}^{2} + 60x + 50 - 4$

$= 18 {x}^{2} + 60x + 46$

$(h - f)(x)$

$= h(x) - f(x)$

$= (2 {x}^{2} - 4) - ( {x}^{2} + 3x - 7)$

$= {x}^{2} - 3x + 3$

$(f + g)(x)$

$= f(x) + g(x)$

$= ( {x}^{2} + 3x - 7) + (3x + 5)$

$= {x}^{2} + 6x - 2$

5 0

2 years ago

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −160 feet. Then she continued to hike down

RoseWind [281]

Ok so first, you need to figure out the change in elevation for each after one min. so we will write it as a ratio

10:-160 20:-300
So for the 10 min one, we will divide both sides by 10
1:-16 So the change in elevation per min. is -16
Now for the 20 one, we will divide by 20.
1: -15 So the change in elevation per min. is 15

So, the 10 min section of the walk the change of elevation was greater. Hope that helps! if you need me to explain something just ask!

8 0

3 years ago

An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.

vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

Calcium:

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

$20x+40y=2,200$