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mash [69]
2 years ago
6

A cell phone company offers two plans.

Mathematics
1 answer:
Aneli [31]2 years ago
3 0

Answer:

80 minutes

Step-by-step explanation:

Represent Plan A as y = $26.50 + ($0.35/min)x, where x is the number of minutes consumed.  

Represent Plan A as y = $42.50 + ($0.15/min)x

We set these two equations equal to one another and solve for x, the number of minutes at which the costs of the two plans are momentarily equal:

y = $26.50 + ($0.35/min)x = y = $42.50 + ($0.15/min)x

Combining like terms, we get:             ($0.20/min)x = $16.00

                 

                  $16.00

Then x = -------------------- = 80 minutes

                 ($0.20/min)

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Robert is 10 years older than her brother. In 2 years, Robert will be three times as old as his brother. How old are they now?
valentina_108 [34]
Robert is 13 and his brother is 3 y.o.
X... brother’s age
X+10... Robert’s age
X+10+2... Robert’s age in 2 years
X+2...Brother’s age in 2 years
X+10+2/x+2=3
X=3
X+10=13
6 0
3 years ago
MIDDLE SCHOOL MATH- 4 QUESTIONS
Contact [7]

Answer:

( I am assuming that these are all fractions)

1. 14 \frac{4}{7}

2.  8

3. \frac{4}{15}

4. 5 \frac{8}{11}

Step-by-step explanation:

1. First you have to convert 15 into a fraction but it must have the same denominator causing the equation to look like 105/7 - 3/7= 102/7. But you cannot just leave the fraction like that it must be simplified 14 \frac{4}{7}

2. Three-fifths of an hour is 36 minutes. You would next multiply 5 by 60 which would the hours into minutes 5 x 60 = 300. You would then divide 300 by 36 which would give you 8.3333333333, which I just simplified it to 8

3. In order for you to multiply a fraction you would first multiply the top then the bottom. 12 x 6= 72, 15 x 18= 270. The fraction would look like 72/270 which is simplified to \frac{4}{15} .

4. First I changed the fractions into improper fractions causing the fraction to look like 36/8 x 14/11 (I got these answers by 8 by 4 then adding 4, then for the next fraction I multiplied 11 by 1 then added 3.) 36 x 14= 1224, 11 x 8= 88 the fraction would look like 1,224/88 you would simplify to 5 \frac{8}{11}

Hope this helps

Please tell me if I made any mistakes I enjoy learning from them.

6 0
3 years ago
Let f(x)=(x-2)^3+8 Find the inverse of f(x). Please show steps in written form would be gladly appreciated
Tatiana [17]

Hello from MrBillDoesMath!

Answer:

(x-8)^(1/3) +2

Discussion:

To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8  and solve for y.

y = (x-2)^3 +8          =>  original function. swap x and y values

x = (y-2)^3 + 8        =>  subtract 8 from both sides

x - 8  = (y -2)^3        =>  take cube root of both sides

(x-8)^(1/3) = y - 2     => add 2 to both sides

(x-8)^(1/3) +2 = y      => y is the inverse



Thank you,

MrB

4 0
3 years ago
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥
gregori [183]

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

6 0
2 years ago
19(-16)<br> helpppppppppppppppp
Anna71 [15]
The answer to your question is -304
8 0
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