Linda is twice as old as Vera. Tanya is four less than four times the age of Linda. Their total age is two more than nine times the age of Vera. How old is Tanya, in years?

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let the age of Vera be x,

Linda's age = 2x

Tanya's age = (4 × 2x) - 4 = 8x - 4

Total Age = 9x + 2

so, let's Solve for x :

[tex]x + 2x + 8x - 4 = 9x + 2[/tex]

[tex]11x - 4 = 9x + 2[/tex]

[tex]11x - 9x = 2 + 4[/tex]

[tex]2x = 6[/tex]

[tex]x = 3[/tex]

Age of Tanya :

[tex]8x - 4[/tex]

[tex](8 \times 3) - 4[/tex]

[tex]24 - 4[/tex]

[tex]20[/tex]

Tanya's age is 20 years.


Related Questions

supose that the half-life of a cesium is 30 years. If there were initially 1000g of the substance,

a) give an exponential model for the situation
b) how much will remain after 200 years​

Answers

After 200 years, 9.84 grams of Cesium would remain.

Let N represent the amount of substance after t years

The half-life of a cesium is 30 years., hence, this can be represented by exponential function:

[tex]N(t)=ab^t[/tex]

where a is the initial value and b is the multiplier.

There were initially 1000g of the substance

a) The exponential model for this situation is:

[tex]N(t) =1000(\frac{1}{2} )^{\frac{1}{30} t}\\\\N(t) =1000(\frac{1}{2} )^{\frac{t}{30}[/tex]

b) After 200 years (t = 200), the amount of Cesium remaining is:

[tex]N(200)=1000(\frac{1}{2} )^\frac{200}{30} \\\\N(200) = 9.84g[/tex]

Hence after 200 years, 9.84 grams of Cesium would remain

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Find m∠XYZ, best answer gets Brainliest

Answers

Answer:

162

Step-by-step explanation:

theorem <w+<x=<y

5x+2+8x+4=15x-18

13x+6=15x-18

6+18=15x-13x

24=2x

12=x

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

xyz=15x-18

15(12)-18

180-18

=162

Help me!! Multiply: 20w(w-18)

Answers

Answer:

2

0

(

1

8

)

20w(w-18)

20w(w−18)

Simplify

1

Distribute

2

0

(

1

8

)

{\color{#c92786}{20w(w-18)}}

20w(w−18)

2

0

2

3

6

0

{\color{#c92786}{20w^{2}-360w}}

20w2−360w

Solution

2

0

2

3

6

0

Step-by-step explanation:

Answer:

[tex]20w(w - 18) \\ 20w ^{2} - 360w \\ \\ \\ \\ \\ \\ \\ \\ \\ hope \: it \: helps \: \\ stay \: safe \: healthy \: and \: happy[/tex]

Write an algebraic expression for each phrase?

Don’t know if those are right also

Answers

Answer & Step-by-step explanation:

1) 4x

2) y-8

3) 6/x

4) 12-y

5) y+9

6) 5^2

7) x^4

8) 9+n

9) 64-y

10) 12/n

11) x^2/7

12) x-8=22

13) 2a-b^2

14) 12-ab

Answer:

4xy - 86 / x12 - y9 + y5^2x^49 + x64 - y12 / xx^2 / 7x - 8 = 222a - b^212 - ( a × b )

Hopefully this helped!

Brainliest please?

your video game scores are 64, -13, 73, -5, and 36. what were your lowest and highest scores

Answers

Answer: -13 and 64

ghjfgkhkf

Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

Fred spent half of his allowance going to the movies. He washed the family car and earned 6 dollars. What is his weekly allowance if he ended with 16 dollars

Answers

Answer:

His weekly allowance is 20 dollars

Step-by-step explanation:

the full equation would be (with x equaling weekly allowance):

(x÷2)+6=16

subtract 6 from each side to get

(x÷2)=10

then multiply each side by 2

x=20

Weekly allowance is $10. He ended with $16, so subtract 6 from 16 to get 10. $10 was the amount he still has left, and since he spent half multiply 10 by 2 to get $20

Find the value of x with all work, parallel lines and transversal lines

Answers

Answer: no idea

Step-by-step explanation:

Factor the algebraic expression. 7x+63

Answers

Step-by-step explanation:

7x+63

= 7 (x +9)

Hope it helps ya

Answer:

7(x+9)

Step-by-step explanation:

7 times what = 63?

7*9 = 63 so lets pull out a 7 from the expression

7x+63 = 7(x+9)

pls helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

A inbetween 4/10 and 5/10

B inbetween 30 and 40

C closer to the 8/10 but inbetween 9/10

D inbetween 20 and 30

E inbetween 2/10 and 3/10

F on the 5/10

Factor this please and thank you for the help

Answers

Answer:

(x−2)(x+5)

Step-by-step explanation:

Answer:

(x - 2) (x + 5) are the factors.

Step-by-step explanation:

= > 3x + x^2 - 10

= > x^2 + 3x - 10

= > x^2 + (5 - 2)x - 10

= > x^2 + 5x - 2x - 10

= > x(x + 5) - 2(x + 5)

= > (x - 2) (x + 5) ... factors

HOPE IT HELPS YOU!!

Find the new amount increase
700 by 40%

Answers

The answer is 980

40% of 700 is 280, you then add that to 700.

Help please thank you so much!

Answers

Answer:

4g + 5h

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

   x

Step-by-step explanation:

V
Calculate the length of Mary's trip.
10 miles
14 miles
24 miles
28 miles

Answers

76

Step-by-step explanation:

10+14+24+28=76 miles long

Help please!!!!!!!!!!

Answers

Answer:

the measure of angle 2 is 50 degrees

Step-by-step explanation:

vertical angles are always congruent which basically means they are on opposite sides from each other so they are the same measurement, like a mirror

How many petals p would there be in a group of 11 flowers ? Write an equation to find the unknown. Then find the unknown.

Answers

Answer:

11

Step-by-step explanation:

The required expression that represents the total number of petals is P = n11, where n is the number of petals per flower.

Given that,
To determine how many petals p would there be in a group of 11 flowers.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of petals in the single flower is n,
The total number of petals among the 11 flowers is p,
p = n11

Thus, the required expression that represents the total number of petals is P = n11, where n is the number of petals per flower.

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452.16 rounded to the nearest tenth

Answers

Answer: 452.2

Step by Step Explanation: Find the number in the tenth place 1 and look one place to the right for the rounding digit 6 round up if this number is greater than or equal to 5 and round down if it is less than 5

.

Rounding 452.16 to the nearest tenth gives us: 452.1.

Given that we need to round 452.16 to the nearest tenth,

We look at the digit in the hundredth place, which is the second decimal place, and round 452.16 to the nearest tenth.

One is the digit at the hundredth position.

We round down because 1 is less than 5, therefore.

Simply drop all the digits following the tenths place and leave the tenths place digit alone if you want to round down.

Rounding 452.16 to the nearest tenth, we obtain: 452.1.

Hence rounding 452.16 to the nearest tenth gives us: 452.1.

Learn more about rounding figures click;

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which is bigger 3/11 or 3/12​

Answers

Answer:

3/11

Step-by-step explanation:pls mark me brainliest

3/11 one uses they have the same numerator you have to look at the denominator which if things are divided into 11ths rather then 12ths, the 11ths pieces are going to be bigger therefore making 3/11 bigger then 3/12

answerrrrrrrrrrrrrrrrrr plzzzzzzz

Answers

Answer:

X=24

Step-by-step explanation:

55-31 is 24

Answer:

x+31°=55°[alternate angle]

x=55°-31°

x=24°

answer

can someone pls tell me what 3/7 times negative 9/5

Answers

Answer:

-27/35, and the decimal answer -0.77142857142

Step-by-step explanation:

multiply the fractions- 3 x 9 equals 27, 7 x 5 equals 35. The answer is negative.

i need help, can someone show me how to solve it

Answers

Answer:

9

Step-by-step explanation:

Simply plug -3 in for x.

-2(-3)^2-7(-3)+6

(-3)^2=9

9*-2= -18

-7*-3=21

-18+21=3

3+6=9

Answer:

f(-3) = 9

Step-by-step explanation:

Here we have a quadratic function in x:  and we want to know the value of this function when x = -3.

Substituting -3 for x in f(x) = -2x^2 - 7x + 6, we get f(-3) = -2(-3)^2 - 7(-3) + 6, which works out to                                                    f(-3) = -2(9) + 21 + 6, or

                                                                                    f(-3) = -18 + 27 = 9

Thus, f(-3) = 9

Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?

Answers

Answer:

$4.56

Step-by-step explanation:

It would be $4.56
You would do 54.79-50.23

Given m∠14+m∠3=180° .

Which lines are parallel, if any must be parallel, based on the given information?


a∥b by the converse of the same-side interior angles theorem.

a∥b by the converse of the alternate interior angles theorem.

c∥d by the converse of the corresponding angles theorem.

Not enough information to make a conclusion.

Answers

Answer:

C) - a∥b by the converse of the corresponding angles theorem

explanation:

k12 test 100

Answer:

c

Step-by-step explanation:

Please help me with this!!

Answers

Answer:

15.6

Step-by-step explanation:

1 times 12 is 12 3/10 of 12 is 3.6 12+3.6=15.6

Answer:

$15.60

Step-by-step explanation:

multiply 1.3 (which is the same as 1 3/10) and 12

The endpoint coordinates of AB are A(2, -10) & B(12, 5). Find the coordinates of the point that is 2/5 from A to B.

Answers

Answer: [tex]\large \boldsymbol {\sf 2\sqrt{13} \approx7,2}[/tex]

Step-by-step explanation:

Find the distance between points A and B by the formula:

[tex]\large \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }[/tex]

[tex]\large \boldsymbol{} \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13} }[/tex]  

By the condition we are told to find 2/5 the distance between points A and B

[tex]\sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13} \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}[/tex]

We can also find the distance between them through the  Pythagorean theorem we will complete a right triangle AB²=AC²+BC² AB=√AC²+BC² Where AC=10  ; BC=15  AB=[tex]\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13} }[/tex] Then 2/5* AB=2[tex]\sqrt{13}[/tex]

Determine the value of x.

Answers

Answer:

Step-by-step explanation:

find a number that can go into 30 and go and then what ever you get multiply it with five and X will be your answer

I'm a 6th grader, does anyone know helpful ways to subtract mixed numbers and divide them?

Answers

Answer:

Are you asking how to break down a Fraction?

Answer:

I don't know

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE BRAINLYEST!!

Answers

It's on the picture

It's on the picture

Sara read 1/6 of the newspaper in 1/3 of an hour. How long did it take her to read the whole paper?​

Answers

6*1/3=6/3=2 hours

hope it helped

5−4+7x+1 no solution, one soultion, infinte soulition

Answers

Answer: 7 + 2

Step-by-step explanation:only one solution

Solve for x using the figure to the right.

Answers

Answer:

Step-by-step explanation:

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