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baherus [9]
3 years ago
8

The archway to the entrance of an art gallery can be

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

Answer:

10 units

Step-by-step explanation:

if we're trying to find the width of the arch, then essentially we're trying to find where the arch ends so we can calculate that width right.

you can do this by find the zero's

0 = - (x-5)(x+5)

x = -5,5

simply find the difference between these two values to get width = 10

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(From Textbook) A company makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce,
Doss [256]

Answer:

The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

Step-by-step explanation:

Let x be the number of ounces of chicken

let y be the number of ounces of grains

We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.

Chicken has protein in 1 ounce = 10

Chicken has protein in x ounces = 10x

Chicken has fat in 1 ounce = 5

Chicken has fat in x ounces = 5x

We are also given that grain has 2 grams of protein and 2 grams of fat per ounce

Grain has protein in 1 ounce = 2

Grain has protein in y ounces = 2y

Grain has fat in 1 ounce = 2

Grain has fat in y ounces =2y

Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.

So, equation becomes:

10x+2y\geq 200 ---A

5x+2y\geq 150  ---B

Since x and y represent the ounces .

So, x\geq 0 ---C and y\geq 0 ----D

Plot A ,B ,C and D on the graph

Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)

We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce

So, Cost function becomes : c=10x+y

At(0,100)

c=10x+y

c=10(0)+100

c=100

At(10,50)

c=10x+y

c=10(10)+50

c=150

At(30,0)

c=10x+y

c=10(30)+0

c=300

Minimum cost is 100 cents at (0,100)

So,  the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

3 0
3 years ago
What is 3 x 4/5 equal too?
sineoko [7]
12/5 is the answer!

Hope I helped!
Ps: symbolab.com is a great calculator to help solve those type of problems :-)
5 0
3 years ago
Read 2 more answers
A bus driver drives a bus 72 miles. the bus uses 6 gallons of gas to make the trip. how many miles can the bus travel with just
pentagon [3]
Do 72 divided by 6 to get 12 so the answer is D
6 0
3 years ago
Can someone please help me with one and make sure to explain please it an Emergency. Also please answer it correctly.
ivann1987 [24]

Answer:

Step-by-step explanation:

Surface area of a cylinder:

S. A. = 2πrh + 2πr²

Volume of a cylinder:

V = πr²h

~~~~~~~~~~~

2(π)(2.5)(x) + 2(π)(2.5)² = π(2.5)²(x)

5x + 12.5 = 6.25x

1.25x = 12.5

x = 10

4 0
2 years ago
If there is a test with 32 questions and I need a 70% to pass how many can I get wrong and explain why please help 10 POINTS!!!!
maks197457 [2]
WELL 22.5/32 is 70% so to just get that you need to get roughly 9.5 questons wrong
8 0
3 years ago
Read 2 more answers
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