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worty [1.4K]
2 years ago
10

Karina and perry are cleaning up litter in the park for community service hours. Karina and perry both claim they have covered t

he greatest area. Who is correct? Use mathematical reasoning

Mathematics
1 answer:
ddd [48]2 years ago
7 0

Answer:

Karina is correct

Step-by-step explanation:

<em>See attached</em>

<u>Area that Karina cleaned up:</u>

  • 1/2*(6-0)(9-2) = 1/2*6*7 = 21

<u>Area that Petty cleaned up:</u>

  • 2*9 = 18

As we see Karina cleaned up more area than Petty, so she is correct

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Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so
Georgia [21]
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution 


We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ +  v₂c₂
40(0.32) = 10(0.2) + 30c
6 0
2 years ago
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The area A of the rectangle shown is described with the inequality 100 ≤ A ≤ 1,000. Write and solve a compound inequality for x.
frutty [35]

Answer:

The correct answer is 1.5 to 5.5

Step-by-step explanation:

8 0
2 years ago
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The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 m
stellarik [79]

Answer:

330\ kg

Step-by-step explanation:

Remember that

1 kg=1,000 g

1 m= 100 cm

The volume of the granite countertop in cubic centimeters is equal to

V=(100)(300)(4)\ cm^{3}

The density in kg per cubic centimeter is equal to

D=2.75(\frac{1}{1,000}) \frac{kg}{cm^{3}}

Multiply the density by the volume

2.75(\frac{1}{1,000})(100)(300)(4)

2.75(120)=330\ kg

6 0
2 years ago
If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
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The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.

Answer: B. (3, -8)

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