Tanya is 6 times younger than her great-grandfather. If a zero is placed between the digits of her age, it will read as the age of her great-grandfather. How old is Tanya?

Answers

Answer 1

Answer:

Tanya is 18 years old.

Step-by-step explanation:

In order to determine this, we assume the following

x =  tens digit of the age of Tanya, and also the hundreds digit of Tanya's great-grandfather age

y = units digit of the age of Tanya, and also the units digit of Tanya's great-grandfather age

Therefore, we have:

10x + y = (1 / 6) * (100x + y)

Multiply both sides by 6, we have:

[10x + y] * 6 = [(1 / 6) * (100x + y)] * 6

60x + 6y = 100x + y

Collect the like terms, we have:

6y - y = 100x - 60x

5y = 40x

Divide through by 5, we have:

y = 8x

That is,

8x = y

Note that x and y has to be single digits. This can only be obtained only when x = 1 and y = 8. And given how x and y is defined above, we have:

The age of Tanya = 18

This can be verified as follows:

18 = 108 / 6

18 * 6 = 108

108 = 108

Therefore, Tanya is 18 years old.


Related Questions

Pls help I don’t understand

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Answer

B) a bisector
Answer
B) bisector!!!

Would someone mind giving me the answer?

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howdy! the answer would be deductive!

If a = 2 and b = 4, then 27 - b 2 ÷ a + (11 - 5) is equal to _____.

29
25
11.5
23​

Answers

Answer: 29

27 - 4 • 2 / 2 + (11 - 5)
27 - 4 • 1 + 6
27 - 4 + 6
27 + 2
29

PLEASE HELP

Factor the common factor out of each expression.
1) 16x -6

Answers

Answer:

8x-3

Step-by-step explanation:

take a 2 out of each of them

help me plz i will mark

Answers

Answer: I think it's the 2nd one

and I'm not guessing but yea it's probably the 2nd one

Step-by-step explanation:

5+3(-x-9)+ 4x – 2(5x-1)

Answers

Answer:

=20 -9x

Step-by-step explanation:

5+3(-x-9)+ 4x – 2(5x-1)

=5 -3x -27 + 4x – 10x + 2

=5 + 2 -27 -3x + 4x – 10x

=20 -9x

Order 5/8 , 0.5 , 58.3% greatest to least

Answers

Answer:

0.5,5/8, 58.3

Step-by-step explanation:

0.5 is 1/2, and 5/8 is 1/8th larger than 1 half, and 58.3 is the only one with a whole number, so its the largest. Hope this helped, can i maybe get brainliest :D

The required ascending order is given as 0.5, 58.3%, and 5/8.

Given that,
To arrange the given number in ascending order,
5/8 , 0.5 , 58.3%

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,
5 / 8 = 0.625
58.3% = 0.583

So,
0.5 < 58.3% < 5/8

Thus,the required ascending order is given as 0.5, 58.3%, and 5/8.

learn more about ascending order here,
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HELPP MEEE IO PRAY THE LORD FOR SOMEONE TO HELPP

Answers

answer 3(n+4)=(n/2)-8

Step-by-step explanation:

...idk hope this one helps

i’d george washington is on the quarter and the $1 bill and Abraham lincoln is on the penny and the $5 bill which of the following is true

Answers

Answer:

Both of them are true?

Kelly can draw 15 shapes in 2 minutes how long does it take kelly to draw 120 shapes in the same rate

Answers

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

please help i can’t figure it out :)

Answers

divide 18 with three18 divided by three is six6 x 4bam

Answer:

24

Step-by-step explanation:

18/3=6

6*4=24

or 4/3*18=24 4/3 would be your scale factor

Blanca earns a yearly salary of $55,000. Isabel earns a yearly salary of $63,000. Blanca will receive a salary increase of $3,700 per year, and Isabel will receive a salary increase of $2,900 per year.

Which equation can be used to find n, the number of years it will take Blanca to earn the same salary as Isabel?


55,000n + 3,700 = 63,000 + 2,900n

55,000n + 3,700n = 63,000n + 2,900n

55,000n + 3,700n = 63,000n + 2,900

55,000 + 3,700n = 63,000 + 2,900n

PLSS ANSWER ILL MAKE MOST BRAINLIEST!!!!

Answers

Answer:

last choice: 55,000 + 3,700n = 63,000 + 2,900n

Step-by-step explanation:

Blanca's salary now: 55,000

Adding $3,700 per year will add 3,700n in year n.

Her salary in year n will be 55,000 + 3,700n

Isabel's salary now: 63,000

Adding $2,900 per year will add 2,900n in year n.

Her salary in year n will be 63,000 + 2,900n

We set the two total salaries equal:

55,000 + 3,700n = 63,000 + 2,900n

Answer:

the answer is D i did and made a 100 good luck on rest of the test

Step-by-step explanation:

Find the distance between the points (3,6) and (10,4). The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The answer is

[tex]\sqrt{53} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,6) and (10,4).

The distance is

[tex]d = \sqrt{ ({3 - 10})^{2} + ({6 - 4})^{2} } \\ = \sqrt{ ({ - 7})^{2} + {2}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{53} \: \: \: units[/tex]

Hope this helps you

The graph of the ellipse below (passes/does not pass) the______ so the graph (is/is not) that of a function. please help fast​

Answers

Answer:

does not pass the vertical line test so the graph is not a function

Step-by-step explanation:

Please help me :( this is eighth grade math and it’s hard for me cause I’m dumb

Answers

Answer:

b when b³ = 8

Step-by-step explanation:

Value of c when c² = 8 :-

[tex]c^2 = 8\\=> c = \sqrt{8} = 2\sqrt{2} = 2.828[/tex]

Value of d when d³ = 9 :-

[tex]d^3 = 9 \\=> d = \sqrt[3]{9} = 2.080[/tex]

Value of b when b³=8

[tex]b^3 = 8\\=> b = \sqrt[3]{8} = 2[/tex]

Value of a when a² = 9

[tex]a^2 = 9\\=> a = \sqrt{9} = 3[/tex]

Comparing all the values of a , b , c , & d ..... we find that value of b is the least

Answer:

smart

Step-by-step explanation:



At the aquarium there are 840 sharks and 630 lion fish, for a total of 1470 fish all together. What is the ratio of fish to sharks?

(Reduce your ratio to lowest terms, for example reduce 15:6 to 5:2

Answers

Answer:

7:4

Step-by-step explanation:

The number of sharks at the aquarium is 840

The number of lion fish is 630

The total number of fish is 1470

Therefore the ratio of fish to sharks can be calculated as follows

= 1470/840

= 7:4

Hence the ratio of fish to sharks is 7:4

1 USD is equal to 1.03069 Canadian dollars Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?

Answers

Answer:

130$

Step-by-step explanation:

Answer:

Mitchell will have 130.66 USD remaining.                                                              

                                                                                                                                                                                     

-2x+4y=-28 solve for y please and how do I show my work could u pls do it on paper and show me ?:)

Answers

the x in -2x gets substituted with 0 since we don’t know what x equals

Hope this helped !!

Is it B or C? I forgot for when you simplify if you either multiply or add.

Answers

Answer:

B

Step-by-step explanation:

[tex](w^8)^8=w^{8\times8}=w^{64}[/tex]

But,

[tex]w^8\times w^8=w^{8+8}=w^{16}[/tex]

b) aº – 49
f) 2a? - 72
j) 8xy - 18xy​

Answers

Answer:

b) -49

f) -73a

j) -10xy

don't knw may be wrong

Answers:
b) -48
f) 2(a-36)
j) -10xy

14 – (2y + 5) = -2y + 9

Answers

Answer:

The answer is all real numbers

Step-by-step explanation:

Simpify both sides of the equation: 14−(2y+5)=−2y+9

14+−1(2y+5)=−2y+9(Distribute the Negative Sign)

14+−1(2y)+(−1)(5)=−2y+9

14+−2y+−5=−2y+9

(−2y)+(14+−5)=−2y+9(Combine Like Terms)

−2y+9=−2y+9

−2y+9=−2y+9

Then add 2y to each side. −2y+9+2y=−2y+9+2y

9=9. Then subtract 9 from each side. 9-9=9-9=0. That means that all real numbers is the answer.

Hey there!

[tex]Answer:\boxed{\text{All are solutions}}[/tex]

[tex]Explanation:[/tex]

[tex]14-(2y+5)=-2y+9[/tex] Equation

14−(2y+5)=−2y+9 Simplify both sides

14 + -1(2y + 5) = −2y + 9 Distribute Negative

14 + -1(2y) + (-1)(5) = -2y + 9

14 + −2y + −5 = −2y + 9

(−2y) + (14 + −5) = −2y + 9 Combine the like terms

−2y + 9 = −2y + 9

-2y + 9 + 2y = -2y + 9 + 2y Add 2y to both sides

9 = 9

9 - 9 = 9 - 9 Subtract 9 from both sides

0 = 0

All are solutions.

Hope this helps!

2x+4(7−x)
HELP me plz :c

Answers

Step-by-step explanation:

2x + 4(7-x)

= 2x + 28 -4x

= 28 - 2x

Hannah took six quizzes in math. She scored 4 twice, 6 once, and 8 three times. What ja Hannah’s average for the six math quizzes?

Answers

Answer:

Option H. 6⅓

Step-by-step explanation:

Let X be the score.

Let F be the number of scores (i.e the frequency)

From the question given above, the following data were obtained from:

X >>>>>>>>> F

4 >>>>>>>>> 2

6 >>>>>>>>> 1

8 >>>>>>>>> 3

Thus, we can obtain the average as follow:

X >>>>>>>>> F >>>>>>> FX

4 >>>>>>>>> 2 >>>>>>> 8

6 >>>>>>>>> 1 >>>>>>> 6

8 >>>>>>>>> 3 >>>>>>> 24

Summation (FX) = 8 + 6 + 24

Summation (FX) = 38

Summation (F) = 2 + 1 + 3 = 6

The average = summation (FX) /Summation F

The average = 38/6

The average = 6⅓

Therefore, Hannah's average for the six math quizzes is 6⅓.

what type of angle is <CEB? ​

Answers

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

what's -2 divided by -2

Answers

Answer:

1

Step-by-step explanation:

simple math..

-2/(-2) = 1
2/2=1 if you have one - is -1, but if you have both negative than two minuses make positive

6²-26+3
A) quadratic monomial
B) cubic binomial
C) quartic trinomial
D) quadratic trinomial

Answers

I’m pretty sure it’s d
The answer would be D

WORTH 85 POINTS!!
explain in FULL sentences!!!

A student conducted an experiment to test whether talking to plants would help them to grow faster. He set up the following two groups: Group 1: spoken to and hand watered Group 2: not spoken to and hand watered After three weeks, the plants in Group 1 showed much more growth than those in Group 2.

Name the independent and dependent variable.

Answers

Answer: Group 1 is the dependent variable, and group 2 is the independent

Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.

The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.

find the first five terms of each sequence an = -2(n-7)

Answers

Answer:

when n=1

= -2(1-7) = 12

when n=2

= -2(2-7) = 10

when n=3

= -2(3-7) = 8

when n=4

= -2(4-7) = 6

when n=5

= -2(5-7) = 4

Step-by-step explanation:

If ST has endpoints S(-6, -1) and T(0, 1), then the midpoint M of ST lies on the x-axis.
SOMEONE PLEASE HELP!!!

Answers

Answer:

formula: M (x1 +x2/2 , y1+y2/2 )

M(-6+0/2 , -1+1/2)

M(-6/2 , 0/2)

M=(-3,0)

Step-by-step explanation:

The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)

What is a midpoint?

A midpoint is the center of two points, It lies at the same distance from the two endpoints.

The coordinates of the endpoints of a line ST are as follows:

The coordinate of S is (-6, -1)

The coordinate of T is ( 0, 1)

The midpoint of the line ST is M

The coordinates of M is given as,

M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2

x₁ = -6

x₂ = 0

y₁ = -1

y₂ = 1

The coordinates of M is,

( -6 +0) / 2 , ( -1 +1) /2

-3, 0

The coordinates of the midpoint of the line are ( -3, 0).

To know more about Midpoint

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Explain why the ratio 3ft./1yrd. has a value of one

Answers

Answer:

Down below

Step-by-step explanation:

There are 3 feet in 1 yard which makes it have a value of one.

3ft = 1yd

Best of Luck!

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