John is twice as old as Mary. The sum of thelr ages is 21. How old Is Mary?

Answers

Answer 1

Answer:   7 years

Step-by-step explanation:

let x be the age of Mary

so John's age will be 2x

the equation becomes

2x+x=21

3x=21

x=21/3

x=7

Answer 2

Answer:

Step-by-step explanation:

Let Mary's age = x years

John's age = 2 * x = 2x

The sum of their ages = 21

x + 2x = 21

3x = 21

Divide both sides by 3

x = 21/3

x = 7

Mary's age = 7 years


Related Questions

Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. If the side length of Square P is 3.5 inches, the perimeter of Square Q is?

Answers

Answer:

49 inches

Step-by-step explanation:

since we are talking about squares, and each side in a square has the same length, and all 4 angles are 90 degrees, "similar" did not mean much. every square is similar to every other possible square.

they all are bigger and smaller copies of themselves.

but how much bigger ?

in our case here P is the smaller square and Q the bigger one.

x = side length of P = 3.5"

y = side length of Q

x/y = 2/7

3.5/y = 2/7

7×3.5 = 2y

y = 3.5×3.5 = 12.25"

the perimeter of Q is

4×y = 4×12.25 = 49"

Fill in the blank with <,> or = . 11.01-----11.001

Answers

Answer:  Greater than sign

In other words, 11.01 > 11.001

========================================================

Explanation:

For each given number, move the decimal point 3 spots to the right.

The value 11.01 becomes 11010

The value 11.001 becomes 11001

Since 11010 > 11001, this means 11.01 > 11.001

---------------

As an alternative method, you can subtract the values to see which is larger

The rule or idea is that

(large) - (small) = positive(small) - (large) = negative

For example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.

In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?​

Answers

error = 62-60 = 2°

% = (2×100)/60 = 100/30 = 10/3 = 3.333%

please help :DDDDDDD

Answers

Answer:

B 5/6 * -11/-7

Step-by-step explanation:

-5 / -7 = 5/7

-11/-6 = 11/6

Multiply

5/7 * 11/6

Rewriting

5/6 * 11/7

We can make  the 11 and the 7 negative (-11/ -7 = 11/7)

5/6 * -11/-7

What are the coordinates of the point on the directed line segment from ( − 10 , 2 ) (−10,2) to ( − 10 , − 5 ) (−10,−5) that partitions the segment into a ratio of 6 to 1?

Answers

Answer: [tex](-10,-4)[/tex]

Step-by-step explanation:

Given

The points joining line segment are (-10,2) and (-10,-5)

Using section formula, a point joining segment  [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1  has coordinates

[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]

Ratio is 6:1

Coordinates are

[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]

[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]

Thus, the coordinates are [tex](-10,-4)[/tex]

In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
1,200
2,880
3,280
4,200

Answers

Answer:

Option B  

(B) 2880   Hope this helps <3

Step-by-step explanation: the total number of people affected by flu during  

the 2nd and 3rd week of January, 1200 + 1680  = 2880

Answer:

1,200

Step-by-step explanation:

40%=.4

(3,000)x(.4)=1,200

1,200 more people were more affected in the third week then the first week

the koala bear is 21 inches tall. the elephant is 9 times as tall as the koala. How tall is the elephant?

Answers

9 times 21 is 189
the answer is 189 inches

Answer:

189 inches tall

Step-by-step explanation:

Help please!! Worth 14 points!

Answers

Answer:

6 days

Step-by-step explanation:

Hi there!

Let d be equal to the number of days that pass.

1) Form expressions

We're told that our sister earns $30 a day, but needs to pay $60 at first:

[tex]30d-60[/tex]

We're also told that we earn $20 a day:

[tex]20d[/tex]

2) Form an equation

We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.

For our income and our sister's income to equal each other, the following must be true:

[tex]30d-60=20d[/tex]

Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.

3) Solve for d

[tex]30d-60=20d[/tex]

Subtract 30d from both sides to isolate d on one side

[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]

Divide both sides by -10 to isolate d

[tex]6=d[/tex]

Therefore, for both our income and our sister's income to become equal, 6 days would pass.

I hope this helps!

In a right triangle, Sin (4x + 10) º = Cos (6x) º. What is the value of x?

Answers

Answer:

Step-by-step explanation:

These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that

sin(4x + 10) = 45 and cos(6x) = 45

If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,

4x + 10 + 6x = 90 and

10x = 80 so

x = 8. Let's try it out:

sin(4(8) + 10) = sin(42) = .6691306064 and

cos(6(8)) = cos(48) = .6691306064

Yay!!!!!

In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?

Answers

4 tables = 1 group. So in 10 groups of tables, there are 40 tables. Each table seats 8 students, so you multiply 8 by 40, and that leaves your answer as 320 students. :)

Please help meee I need this done ASAP

Answers

Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ

what fraction of 3 hours is 30 minutes?​

Answers

Answer:

7/2

Step-by-step explanation:

Helpppppppppppp meeeeeeeeee

Answers

Answer:

X=-1

Step-by-step explanation:

X=-1 is just a vertical line since it only tells where the x point is.

what are the two greatest common factors in 28 and 10

Answers

1 and 2 are the greatest common factors

The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?

Answers

Answer:

$45.07

Step-by-step explanation:

46.91-1.84= 45.07

Given d= 4t+1 can you determine the value of the y-
intercept?

HELP!! asap!

Answers

Yes. The y-intercept is 1 since the equation for a line is equal to y=mx+b, where b is the y-intercept.

se
4 Shonda is hanging pictures on a
wall in her home. She has pictures
with areas of 16 square inches and
25 square inches. She hangs a total
of 7 pictures which covers 148
square inches of wall space. Let x be
the number of pictures with an area
of 16 square inches and y be the
number of pictures with an area of
25 square inches.

Answers

X+y=7 and 16x+25y=148

Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?

Answers

Answer:

12600 (ZAR)

Step-by-step explanation:

4.2*3000

Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____​

Answers

Answer:

La primera es la respuesta la segunda parte es la

Step-by-step explanation:

La que te muestra como va el procedimiento

Answer:

-57x^2-10x+8

Step-by-step explanation:

i just did the test on edmentum

3. If a + b = C, which of the following statements is true?

Answers

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Please help me on this!! 11 points!!!

Answers

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]

SIMPLIFY THE EXPRESSION [tex] \blue{\frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } } }[/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex] \pink{ \frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } }} \\ m^{ \frac{2}{3} - \frac{1}{5} } \\ m^{ \frac{(2 \times 5) - (1 \times 3)}{3 \times 5} } \\ m^{ \frac{10 - 3}{15} } \\ m^{ \frac{7}{15} } [/tex]

[tex] \green{SECOND \: \: OPTION->}\purple{ m^{ \frac{7}{15} } }[/tex]

Solve the following problem. It may be helpful to use a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.

A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Answers

Answer:

If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Step-by-step explanation:

Weegy: x + y = 1 (we want one pound total) 5.60 * x + 2.30 * y = 3.29 (we want 3.29 per pound) Answer: x = . 3, y = . 7 per one pound To get 10 pounds: cashews - 10x = 3 pounds, peanuts - 10y = 7 pounds.

Please help
Solve this system of inequality by graphing.

Answers

Answer: Thats what the graph would look like hope this helps :)

Step-by-step explanation:

Answer:

see graph.

[tex]\leq[/tex] and [tex]\geq[/tex] are solid lines

< and > are dotted lines

graph inequalities same as regular equations

< shade below

> shade above

Help me pls look at this PHTOo Bc I don’t know how to explain

Answers

Answer:

42.1

Step-by-step explanation:

15.2% = 0.152

277 * 0.152 = 42.104

42.1 megabytes have been downloaded.

Hope this is helpful.

Answer:

42.1

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

A regular hexagon is to be cut out of a circular sheet of metal that has a radius of 6
inches.

Approximately how many square centimeters of sheet metal will be left over as
scraps?
A. 32.9 square centimeters
B. 93.5 square centimeters
C. 113.1 square centimeters
D. 126.2 square centimeters

Answers

The correct answer to your problem would be “d”

What is the growth factor associated with the following growth rate: 30% decrease

Your answer should be typed as a decimal.

Answers

Given:

Growth rate = 30% decrease

To find:

The growth factor associated with the given growth rate.

Solution:

The general exponential function is:

[tex]y=a(1+r)^x[/tex]

[tex]y=a(b)^x[/tex]

Where, a is the initial value, r is the growth rate in decimal and [tex]b=1+r[/tex] is the growth factor.

It is given that the growth rate is 30% decrease. So,

[tex]r=-30\%[/tex]

[tex]r=-\dfrac{30}{100}[/tex]

[tex]r=-0.3[/tex]

Now,

[tex]b=1+r[/tex]

[tex]b=1+(-0.3)[/tex]

[tex]b=1-0.3[/tex]

[tex]b=0.7[/tex]

Therefore, the growth factor is 0.7.

Help ASAP please thank u

Answers

Answer:

(A). F(x) = (x+1)^2

Step-by-step explanation:

If you replace x with the values of the axis, you get all the coordinates of the graph.

If this helps you, please give brainliest!

The answer is A)

Because you should horizontal shift 1 point to the left and I think the graph should parabola, so yeah hope that answers your question and good luck!!

If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!

Answers

Answer:

[tex]34^{\circ}[/tex]

Step-by-step explanation:

The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.

By definition, an angle bisector divides an angle into two equal smaller angles.

Therefore:

[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]

What we're given:

[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]

The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:

[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]

Substituting given values:

[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]

Since [tex]\angle JKP=\angle LKP[/tex],

[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]

Pls someone help me with this it's urgent!

Answers

Answer : square root of x - 5 ,

the answer the the last option choice.

Answer:

I think it is y=√x -5

Step-by-step explanation:

if clt 5wont go with √x

Help is needed please!!!!

Answers

Answer:

31/20

Step-by-step explanation:

You need to plug in x as y-3.

so instead of 10x+10y=1 it is 10(y-3)+10y=1

Then just simplify the equation to find the value of y

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