50 POINTS QUICK Mary is three times as old as her son . In 12 years Mary will be twice as old as her son. How old is each of them now?

Answers

Answer 1

Answer: Mary is 36 and her son is 12; in 12 years her son will be 24 and she will be 48

Step-by-step explanation:

Answer 2

Answer:

Mary's age = 36

Son's age = 12

Step-by-step explanation:

Let x be age of Mary and y be age of her son.

According to question,

x = 3y...........(1)

And,

x + 12 = 2(y + 12)

x + 12 = 2y + 24

Replacing value of x from (1),

3y + 12 = 2y + 24

3y - 2y = 24 - 12

y = 12

And x = 3 x 12 = 36


Related Questions

If 65% of Americans are overweight, how many people would be overweight in a city of 1.5 million?

Answers

Answer:

hey There

Step-by-step explanation:

This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).

Answer:

66.9%

i hope thats right

Simplify the following expression completely, where x 20.
x5xy* + 405x’y* - 180x’y4
O xy2 5x + xy? V405x – xy2/80x
0 6xyV5x
-3xy 5x + xy? J405x
O 6xy ſ5x}

Answers

Answer:

Option B is your answer

Step-by-step explanation:

hope it helps

have a great day!!

Answer:

A.) -80X^8 + 40x^7 -5x^6 -3x^2

Its OPTION A

Step-by-step explanation:

Please help me on this

Answers

Answer:

(b) 60.21ft^2

Step-by-step explanation:

Given

The attached triangle

Required

Number of square feet materials needed

This simply means that we calculate area;

[tex]Area = 0.5 * base * height[/tex]

[tex]Area = 0.5 * (14ft\ 2in) * (8ft\ 6in)[/tex]

Convert to ft [divide by 12]

[tex]Area = 0.5 * (14+ 2/12) * (8+ 6/12)[/tex]

[tex]Area = 0.5 * (14.17) * (8.5)[/tex]

[tex]Area = 60.23ft^2[/tex]

(B) is correct

2/6+1/4
Show work please
And no links

Answers

Answer:

7/12

Step-by-step explanation:

1/3+1/4

convert to twelfths

4/12+3/12

7/12

Answer:

7/12

Step-by-step explanation:

2/6 + 1/4

Change the denomintors to be alike  (Change the denominators to 12) 4/12 + 3/12

Multipy the top and bottom  

Add

Get 7/12

Brainliest?

Ralph opened up his checking account with $100. On Monday, he withdrew $45 to purchase a pair of jeans. On Wednesday, he deposited a $25 check he received for his birthday from his uncle. On Friday, he used his debit card to buy a $98 football ticket. What is the balance in Ralph's checking account?

Answers

Answer:

The answer is -18

Step-by-step explanation:

He starts off with $100 in his account. He then take so $45 to purchase a pair of jeans, so we have to subtract 45 from 100 and that gives us $55. He now has $55 in his account, he then adds another $25 to his account, so we have to add 25 to 55 and that will give us $80 in his account. Finally on Friday he takes out $98 of his checking account. He takes out more than he has in his checking account so we have to subtract $80 from $98 and we will get $18, but since he takes out more than what he has in his account the answer will be negative and we end up with -18 dollars in his checking account.

Answer:72

Step-by-step explanation:

HELP! 50 POINTS!

A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = −3/4 x + 2.
What is the solution to this system of linear equations?

Answer form: ( __ , __ )

Answers

(4, -1) ---> x = 4 and y = -1

If you look at the graph you can se this

Mark points (0, 2) and (8, -4) in the coordinate plane

Plot the line going through both of these points.

Read the coordinates of the intersection of the line so you can see the solution!

ANSWER THIS PLZZ I WILL GIVE TOP COMMENT :)!!!!!

Answers

Answer:

D, -42 multiply 6 on both sides

D. because when it is multiplied, the inequality is no longer true.

I need help quick !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

192ft squared. But remember it says don't put the square feet so just type in: 192.

Step-by-step explanation:

The top triangle is 42 ft squared.

The rectangle below it is 150 feet squared.

You add them together and get 192 ft squared hope this helps!

Its 192ft I agree with Ethel

A marketing manager wishes to determine whether a relationship exists between the number of cereal boxes (Y) sold at the company's retail store and the number of clerks on duty (X) per day. The sample data below will be used to examine this empirical problem. Calculate the slope of the regression line.

X Y
3 4
2 4
2 2
1 2

a. 0
b. 1
c. 2
d. None of the above

Answers

Answer:

I’m very unsure but I think it is b

Step-by-step explanation:

3x-2y=8 2x+y=10 solve system of equations

Answers

Answer:

x=4,y=2

Step-by-step explanation:

3x-2y=8 ..........1

2x+y=10...........2

multiply equation 2 by 2 and adding equation 1 and 2 ,we get

3x-2y=8

4x+2y=20

+_________

7x=28

x=28/7=4

:.x=4

again substituting value of x in equation 1 we get

3×4-2y=8

12-8=2y

y=4/2=2

:.y=2

please help sarie this is the rest of the questions and i need help

Answers

Well what's the question? I got a buncha graphs and no question!

What is the value of x in the equation 2/3x = 12

Answers

Answer:

x = 8

The value of 'x' is 8

Step-by-step explanation:

2/3(8)=12

2/(24)=12

Good luck!!

Suppose the probability that it will rain tomorrow is 0.59. What is the probability that it will not rain tomorrow?

Answers

Answer:

0.41

Step-by-step explanation:

All probability equals 1. So if the probability that something will happen is x, then the probability that it will not happen is 1-x

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate. Do not round your intermediate computations, and round your answer to three decimal places.

Answers

Complete question:

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.

Answer:

[tex]P(x = 4) = 0.1376[/tex]

Step-by-step explanation:

Given

[tex]n = 9[/tex]

[tex]p = 63\%[/tex] --- proportion that germinates

[tex]p = 0.63[/tex]

Required

P(x = 4)

This question follows a binomial distribution:

[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]

When x = 4;

[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]

[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]

[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]

[tex]P(x = 4) = 0.13763895392[/tex]

[tex]P(x = 4) = 0.1376[/tex]

Anybody can tell me How to solve |8|+|-6|?​

Answers

to solve this first make sure to look at the signs. since 8 is the bigger number you know your answer will be positive. now do 8-6 and your answer will be 2. or you can look at it by breaking down the 8 like: -6 + 6 +2, whichever helps you.

The radio of boys to girls at a middle school is 3 : 2 what is the ratio of girls to all students.

Answers

Answer:

2:5

Step-by-step explanation:

because the total students are 5 and just girls are 2  

also u wrote radio but i think its ratio

pls mark brainlest let me know if u got it right?

Mari left a tip of $14.00 for a meal that cost $69.00. Approximately, what percent of the tip did she leave?

Answers

14/69*100=20.29% this is the Answer

x
What is the angle of elevation of the sun when a 50-ft
mast casts an 18ft shadow? Round to the nearest
whole number.
Tano
50
Tan 0 =
18
0=
Opposite Leg
Adjacent Leg
Submit
50ft
How do I solve this please it’s the last problem

Answers

Answer:

[tex]\theta \approx 1.23^\circ[/tex]

Step-by-step explanation:

The expression has been given as:

[tex]tan(\theta) = \frac{50}{18}[/tex]

Required: Find [tex]\theta[/tex]

Simplify the fraction

[tex]tan(\theta) = 2.7778[/tex]

Take arc tan of both sides

[tex]\theta = tan^{-1}(2.7778)[/tex]

[tex]\theta \approx 1.23^\circ[/tex]

Helpppp!!!!!! I need this nowwwww

Answers

the correct answer is number one

A rectangle has vertices at P (16,16), Q(16,-16), R(-16,-16) and S(-16,16). The origin is the center of dilation and the rule of a dilation is (x,y)→(1/4x, 1/4y) What is P' of the dilated image, PQ’R’S’?

Answers

Answer:

(4, 4)

Step-by-step explanation:

So you're trying to find what P' is, and P' would be the dilation of P. This means that you apply the rule (x, y) --> (1/4x, 1/4y) with the coordinate point (16, 16). This would be:

(16, 16) --> (1/4 * 16, 1/4 * 16) = (4, 4)

a Carver begins work on the following block of granite that weighs 2700g what is the density of the granite ​

Answers

Density" of the given granite block is 2.7g/cm

3

.

Explanation:

Density of an object is defined as the mass occupied per unit volume. “Density” is represented by “ρ”. Mathematically, \rho=\frac{m}{v}ρ=

v

m

where, “m" mass of an object and "v" is volume of an object.

Given that,

Dimensions of the block are 20 cm, 5 cm and 10 cm.

\text { Volume of the block is } l \times b \times h Volume of the block is l×b×h

\text { Volume of the block is } 20 \times 5 \times 10 Volume of the block is 20×5×10

\text { Volume of the block is } 1000 \mathrm{cm}^{3} \text { . } Volume of the block is 1000cm

3

.

Mass of the block is 2700 g.

Substitute the given values in \rho=\frac{m}{v}ρ=

v

m

to find density of a block.

\rho=\frac{2700}{1000}ρ=

1000

2700

\rho=2.7 \mathrm{g} / \mathrm{cm}^{3}ρ=2.7g/cm

3

\text { "Density" of the given granite block is } 2.7 \mathrm{g} / \mathrm{cm}^{3} "Density" of the given granite block is 2.7g/cm

3

Which set of three angles could represent the interior angles of a triangle?
49, 59º. 72
O 34, 45°, 11°
O 24.51, 15°
O 45°, 70°, 85°

Answers

A. 49°, 59°, 72°

Because this is the only one that equals 180° which is the sum of a triangle

A science teacher fills a spherical bubble

Answers

ksnskndjdosnsnabdnejw

If one pair of supplementary angles is a right angle, the other angle must also be a right angle true or false?

Answers

Answer: True

Step-by-step explanation:

A supplementary angle refers to the angles that has a sum of 180° when they're added together.

We should note that a right angle equals to 90°, therefore the other angle in the supplementary angle will be:

= 180° - 90°

= 90°

Since a right angle equals 90°, then the other angle must be a right angle.

Therefore, the answer is TRUE.

Need help 15 points pls help me

Answers

5 1/2 feet is the base of window.

Answer:

area of parllelogram =base×height

25 2/3=base×4 2/3

77/3=base×14/3

77/3×3/14=base

base=77/14=11/2=5 1/2feet

PLS HELP AND ANSWER QUICK PLZ

Answers

Answer:

X = 90° , Y = 45°,  Z = 45°

Step-by-step explanation:

HELPPP PLEASE YOU’LL GET 10 POINTS

Answers

Answer:

angle y and angle x

Step-by-step explanation:

Y and X hope this helps

Hello! I was trying to Do 69x24 but it is sadly not giving helpful tips so I was wondering if you can help me step by step?​

Answers

the answer is 1,656 .

Can you help me, please please!!!

Answers

Answer:

1.4/10=2/5

2.4/8=1/2

3.8/12=2/3

4.7/5=14/10

5.1/3=2/6

what is the leading coefficient of 5z^5-2z^6+z

Answers

Answer:

3

Step-by-step explanation:

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