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bagirrra123 [75]
2 years ago
13

The Lamaster family is a family of five people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 7

,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.
5x − 4,885.78 ≤ 7,250.50
5x + 4,885.78 ≤ 7,250.50
5x − 4,885.78 ≥ 7,250.50
5x + 4,885.78 ≥ 7,250.50
Mathematics
1 answer:
oksian1 [2.3K]2 years ago
8 0

Let X be the amount of water one person can use.

Multiply that by 5 people to get 5X

That amount plus what they already used ( 4885.78) needs to be less than or equal to the amount they are limited to ( 7250.50 ).

Now write out the equation to get : 5x + 4885.78 ≤ 7250.50

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A company manufactures Handband, a wireless activity tracker. There are initial start up costs involved. Additionally, the compa
Mashutka [201]

Answer:

1. 21 represents the cost of manufacturing one handband.

3. The initial start up cost is $15000.

5. The company spends $57000 to manufacture 2000 handbands.

Step-by-step explanation:

We are given the cost function for manufacturing 'h' amount of handbands and it is provided that there was initial start up costs involved.

Now, as the cost function is given by, C(h) = 21h + 15000.

We can see that the initial start up cost is $15000.

As, 'h' is the number of handbands being made. So, 21h in C(h) is the cost of manufacturing 'h' handbands.

Therefore, 21 is the cost of manufacturing one handband.

Since, C(h) = 21h + 15000.

Substituting h = 2000, we get,

C(2000) = 21×2000 + 15000.

i.e. C(2000) = 42000 + 15000.

i.e. C(2000) = 57000.

The company spends $57000 to manufacture 2000 handbands.

Since, we are provided with only cost function, we can not talk about the profit.

Hence, option 1, 3 and 5 are correct.

8 0
2 years ago
An arrow is shot at an angle of θ=45∘ above the horizontal. The arrow hits a tree a horizontal distance D=220m away, at the same
Alborosie

Let us solve the Part A first. 

In order to find the time we use the formula for the range of a projectile:

R = v^2 multiply by sin(2θ) divided by g

220 = v^2 multiply by sin(2 multiply by 45) divided by 9.8

220 = v^2 divided by 9.8

V^2 = 2,156

v = 46.43 m/s

Now we will find the x component of the velocity:

vx = sin(θ) multiply by v

vx = cos(45) multiply by 46.43

vx = 32.83 m/s

So the time it takes for the arrow to travel 220 m is the same as the time it is in the air:

time = d divided by  v

time = 220 divided by 32.83

time = 6.70 seconds

6.70 s.

Now we will solve the part B.

We will start by finding the time it takes for the apple to fall 6.0 m

d = v0 multiply by t + 1 divided by 2 at 2 square

6 = 0 multiply by t + 1 <span>divided by </span>2 multiply by 9.8 multiply by t^2

6 = 4.9 multiply by t^2

<span>t^2 = 1.2245</span>

t = 1.1066 s

Thus the arrow needs 6.70 s to reach the tree, so we will just subtract for the difference:

wait = 6.70 – 1.1066

wait = 5.59 s

Hence the apple should be dropped 5.59 s after the arrow is shot.

I hope it helped

5 0
2 years ago
Read 2 more answers
What is the coefficient of each monomial?<br> a. 5pk<br> b. f<br> c. –9t<br> d. –j
Semenov [28]

Step-by-step explanation:

<em>Look at the picture</em>

a. 5pk → 5

b. f = 1f → 1

c. -9t → -9

d. -j = -1j → -1

5 0
2 years ago
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M&lt;2=34 find m&lt;4 and explain how you know
Naily [24]

Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent

6 0
2 years ago
What is the length of BC in the right triangle below?
dexar [7]

Answer:

D

Step-by-step explanation:

u can use Pythagorean theorem a2 + b2 =c2. c2 is the length of the hypotenuse. plug in 3 for a and 15 for b. 3 squared plus 15 squared equals c squared. 9+225= c2. 234=c2. answer is D. the square root of 234

8 0
2 years ago
Read 2 more answers
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