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Nimfa-mama [501]
3 years ago
11

The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that r

epresents the situation?
A) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
B) It is linear because the function is continuous.
C) It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
D) It is nonlinear because the price tag and final cost columns do not have the same common difference.

Mathematics
2 answers:
Lelechka [254]3 years ago
5 0

Answer:

Option A) is correct.

Step-by-step explanation:

The final cost of a sale item is determined by multiplying the price on the tag by 75%.

So. if the final cost is represented by $F and the price on the tag is $t, then the relation between  F and t will be  

F = 0.75t.

This relation is linear since the ratio of the change in the final cost compared to the rate of change in the price tag is constant.  

Therefore, option A) is correct. (Answer)

jek_recluse [69]3 years ago
4 0

Answer:

the answer is A

Step-by-step explanation:

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Black_prince [1.1K]

Answer:

a) false

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d) false

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8 0
3 years ago
How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?
tatyana61 [14]

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}

\frac{42}{sin117}=\frac{34}{sinB}

sinB=\frac{34}{42}\times sin(117)

sinB=0.7212

B=46.161 ^{\circ}

and A+B+C=180

C=16.839^{\circ}

Thus 2 triangles can be formed with given value

8 0
3 years ago
A tree that is 6 feet tall is growing at a rate of 2 feet every year. A tree that is 12 feet tall is growing at a rate of foot e
kompoz [17]

Answer:

6 years

Step-by-step explanation:

let x = # of years

6 + 2x = 12 + x

x = 6

6 0
3 years ago
Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day
Goshia [24]

Answer:

The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

v+g=21              ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of  per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

10v+12g =240     ⇒ equation 2

Hence The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

On Solving above equations we get;

First we will multiply equation 1 by 10 we get;

10(v+g)=21\times10

10v+10g =210     ⇒ equation 3

Now Subtracting equation 3 from equation 2 we get;

10v+12g -(10v+10g)=240-210\\\\10v+12g-10v-10g=30\\\\2g =15

Dividing both side by 2 we get;

\frac{2g}{2}=\frac{30}{2}\\\\g =15\ hrs

Now Substituting the value of g in equation 1 we get;

v+g=21\\\\v+15=21\\\\v=21-15 =6\ hrs

Hence Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

7 0
3 years ago
Hasan is painting a spherical model of a human cell for his science class. He uses 100π square inches of paint (in one coat) to
babymother [125]

Answer:

10 in

Step-by-step explanation:

So we want to consider the surface area of this sphere.

The formula for surface area of a sphere is A=4 \pi r^2.

So we have that the surface area is 100 \pi.

So I'm going to replace A in A=4 \pi r^2 with  100 \pi.

100\pi=4\pi r^2

Now our main objective here is to solve for r:

Divide both sides by 4 \pi:

\frac{100\pi}{4 \pi}=\frac{4\pi r^2}{4 \pi}

This gets us r^2 by itself:

25=r^2

What number squared gives you 25? If you don't know, just take the square root of both sides giving you:

\sqrt{25}=r

Now you can just put \sqrt{25} in your calculator.  You should get 5.

5 is the radius

The diameter is twice the radius.

So 2(5) is 10, so the diameter is 10 in.

4 0
3 years ago
Read 2 more answers
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