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3 years ago

A mother's age is three less than three times her daughter's age. The sum of their ages is 45. What is the daughter's age?

1 answer:

6 0

Given:
mother's age = 3x - 3
daughter's age = x
total of their ages = 45

Mother's age + daughter's age = 45
3x - 3 + x = 45
4x = 45 + 3
4x = 48
4x/4 = 48/4
x = 12 daughter's age. CHOICE B.

mother's age : 3x - 3 = 3(12) - 3 = 36 - 3 = 33

To check:
mother's age + daughter's age = 45
33 + 12 = 45
45 = 45

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Lerok [7]

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5 0

3 years ago

Maria bought g gallons of gasoline for $3.95 per gallon and c cans of oil for $4.45 per can. a. What expression can be used to

Furkat [3]

Answer:

a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.) Total amount spent by Maria = $ 74.02

Step-by-step explanation:

As given,

Cost of gasoline = $ 3.95 gallon

Cost of oil per can = $ 4.45

Also given,

Maria bought g gallons of gasoline and c cans of oil

⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g

Total cost of c cans of oil = c×4.45 = $4.45c

Now,

a.)

Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.)

As given ,

Maria buy gasoline , g = 8.6 gallons

Maria buy cans of oil , c = 6

So,

Total amount spent = $ 3.95(8.6) + 4.45(9)

= $ 33.97 + 40.05 = $ 74.02

⇒Total amount spent by Maria = $ 74.02

3 0

2 years ago

M∠Q = <br> m∠R = <br> m∠S = <br><br> 40 POINTS!!!!!!!

Marizza181 [45]

9514 1404 393

Answer:

∠Q = 89°

∠R = 123°

∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

arc QRS = 2·∠P = 114°

So, ...

arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

arc PQ = 360° -arc PS -arc QRS

arc PQ = 360° -137° -114° = 109°

∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

∠Q = 89°

∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

∠R = 123°

∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

∠S = 91°

7 0

3 years ago

What is the valuable of x in the equation 1.8-3.7x=-4.2x+0.3

Mumz [18]

Answer:

x = 3

Step-by-step explanation:

1.8 - 3.7x = -4.2x + 0.3

add -4.2x to both sides

1.8 - 0.5x = 0.3

subtract 1.8 from both sides

-0.5x = 0.3 - 1.8

-0.5x = -1.5

divide by -0.5 on both sides

x = 3

GREAT JOB!!!! YOU GOT IT!!! =)

4 0

3 years ago

The first number is 17 the difference between the two numbers on the number line in 9.

Juliette [100K]

Answer:

The second number would be 8 or 16

Step-by-step explanation:

Let x be the unknown number,

Since, first number = 17,

So, the difference between x and 17 = |17 - x |

According to the question,

|17 - x | = 9

17 - x = ± 9

17 - x = 9 or 17 - x = -9

17 - 9 = x or 17 + 9 = x

⇒ x = 8 or x = 26

Hence, the second number would be 8 or 26.

5 0

3 years ago