if Vera is 3 times as old as Zoe and 2 times as old as Paul. And the sum of their ages is 33. what is Zoe's age?​

Answers

Answer 1

Answer:

Zoe is 6 years old.

Step-by-step explanation:

Vera - V

Zoe - Z

Paul - P

V = 3Z

Z = [tex]\frac{1}{3}V[/tex]

V = 2P

P = [tex]\frac{1}{2}V[/tex]

V + Z + P = 33

[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]

[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]

[tex]\frac{11}{6}V = 33[/tex]

[tex]V = 33 * \frac{6}{11}[/tex]

[tex]V = 3 * \frac{6}{1}[/tex]

[tex]V = 18[/tex]

V = 3Z

18 = 3Z

Z = 6


Related Questions

measurement 6 is 126
find measurement 1 and 4

Answers

Step-by-step explanation:

just stop wasting ur pionts

A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1100 feet, what are the dimensions of the field?

Answers

Answer:

Length = 500, Width = 50

Step-by-step explanation:

EQUATION:

2(10x) + 2x = 1100

20x + 2x = 1100

22x = 1100

x=50

Solve the problem below by finding a common denominator.

5/6+1/8

Answers

Answer:

5/6+1/8 = 23/24

Step-by-step explanation:

The lowest common denominator here is the smallest denominator that can be divided evenly by both 6 and 8.  It is 24.  Note that 6 = 2·3 and that 8 = 2·2².  We use the factors 2³ and 3 to come up with the LCD 24.

Then 5/6 + 1/8 can be rewritten with this LCD as:

20/24 + 3/24 = 23/24

5/6+1/8 = 23/24


When thirteen is reduced by two-thirds of a number, the result is 7. Find the number.
The number is

Answers

Answer:

30

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

[tex] = \frac{2}{3} x[/tex]

Then, it is reduced by 13

[tex] = \frac{2}{3} x - 13[/tex]

After that,

The req. result we get is = 7

Therefore,

By the problem,

[tex] = > \frac{2}{3} x - 13 = 7[/tex]

(On putting like terms on one side)

[tex] = > \frac{2}{3} x = 7 + 13[/tex]

(On Simplification)

[tex] = > \frac{2}{3}x = 20[/tex]

(On multiplying both sides with 3/2)

[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]

(On Simplification)

=> x = 30

Hence,

The req. number is 30.

Given that :

Thirteen is reduced by two-thirds of a number. And their result is 7.

To Find :

The number.

Solution :

Let's assume the number as x

According to the question :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]

Adding 13 to both sides we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]

Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]

Therefore, The number is 30.

There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 play attack only. Represent the information on a Venn diagram and find number of players who play all the three positions

Answers

Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...

Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.

Please answer the question on the following screenshot

Answers

Answer:

E

Step-by-step explanation:

What is the value of v?

Answers

Answer:

34 degrees

Step-by-step explanation:

If you know the 2 interior angles of a triangle, you can find the 3rd.

This is useless since this is a right triangle.

In this case:

v + 46 = 90

v = 34 degrees

You are welcome!

Kayden Kohl

8th Grade Student

Ana is playing a quiz game and needs more than 500 points to advance to the next level. She earns 18 points for each correct answer loses 6 points foWhat is an inequality that represents all the possible combinations of c, the number of correct answers, and w, the number of incorrect answers that Ana can get and move to the next level?

Answers

if the words after " 6 points fo" is "r each incorrect answer" then the answer is

18c - 6w > 500

explanation:

if she answers one correct, she'll get 18 points, so if she gets 18 correct, she'll get 18c points, same goes for each she gets incorrect but loses 6 points is +-6w, or simplified, -6w

¿Cuál es la pendiente perpendicular a la pendiente m = 3 ?

Answers

Answer:

The slope of a line perpendicular to a vertical line is zero.

Step-by-step explanation:

The average of max's three tests is an 84 what must he get on a fourth test to raise his average to an 87

Answers

Answer:

He must get a 96% on the fourth test to raise his average to an 87

7. Sid has a board that is 8 5/6
feet long. He cuts a piece off of the board that
is 3 1/4 feet long. How long is the remaining piece of board

Answers

Answer:

5 7/12 feet left

Step-by-step explanation:  

Step 1:  8 5/6 - 3 1/4

Step 2:  = 67/12 (Put into proper fraction)

Step 3:  = 5 7/12

Hope that helps :)

Answer:

5 7/12

Step-by-step explanation:

Given that the board is 8 5/6 feet long.

Cuts off 3 1/4 feet.

8 5/6- 3 1/4

Change fractions into improper fractions.

8 5/6=53/6

3 1/4=13/4

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

53/6x2/2=106/12

13/4x3/3=39/12

106/12-39/12=67/12

=5 7/12

Hope this helps :)

Consider this expression x^2-(3x+y)+16

Answers

Answer:

x^2-3x-y+16?

Step-by-step explanation:

simplest form already, but can be converted into a proper polynomial.

x^2-3x-y+16

What is the inequality shown?
o
I
1
1
-9
-8 -7 -6 -5
-4 -3 -2 -1
I
0
| 1
1 2
1 1
3 4
T 1
5 6 7
00
8
9

Answers

Answer:

-4 < n ≤5

Step-by-step explanation:

The lower limit is -4.  It has an open circle, so there is no equal sign

-4 < n

The upper limit is 5.  It is a closed circle so there is an equals sign

-4 < n ≤5

I dare you to answer this ,’:)

I’m serious just help me already

Answers

9514 1404 393

Explanation:

Put the given value of x into the expression and evaluate it.

x, 10(x +6), y = 10x +60

2, 10(2 +6), y = 10(8) = 80

4, 10(4 +6), y = 10(10) = 100

6, 10(6 +6), y = 10(12) = 120

8, 10(8 +6), y = 10(14) = 140

can someone pls help me with dis ill give brainliest​

Answers

Answer:

274900

Step-by-step explanation:

Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.

To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.

Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.

Answer:

Yes it is written in scientific notation.

Step-by-step explanation:

Scientific notation is --> a x 10^b.    where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.

16 is 80% of what number?
O A. 20
O B. 12.8
O C. 500
O D. 128

Answers

Answer:

A. 20

Step-by-step explanation:

1. To solve this problem, instead of doing 80/100 times 16, we can do 100/80 times 16 (inverse of percentage, basically).

[tex]\frac{100}{80} *16[/tex] [tex]\frac{5}{4} *16[/tex] [tex]\frac{80}{4}[/tex] [tex]20[/tex]

Therefore, the answer is A. 20.

what is 4 1/6÷5 please help

Answers

Answer:

It is 5/6

Step-by-step explanation:

For questions like these use caculator soup you can use it for fractions and much more it shows u how to work the problem out also.

A family buys airline tickets online. Each ticket costs $208. The family buys travel
insurance with each ticket that costs $16 per ticket. The web site charges a fee of
$22 for the entire purchase. The family is charged a total of $1142. How many
tickets did the family buy

Answers

the family brought 2271 tickets.

Answer:

5 tickets

Step-by-step explanation:

Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.

Therefore, the equation is 224x + 22 = 1142

First, you have to subtract the 22 from both sides to amount to 224x = 1120

Now, you divide 224 from 1120 to get 5

The family bought 5 tickets.

Oliver and Eva are reading the same book. At the beginning of the month, Oliver was on page 43 and Eva was on page 21. Oliver will read 3 pages per day and Eva will read 5 pages per day. Let O represent the page of the book that Oliver is on at the end of tt days into the month, and let E represent the page of the book that Eva is on at the end of tt days into the month. Write an equation for each situation, in terms of t, and determine after how many days, t, Oliver and Eva will be on the same page of the book.

O=
E=
Answer: ____ days per page
days
pages
pages per day


when you answer the question plz put it how i seated put with the answer next to them with the answer just put one of them

Answers

The number of days that it will take Oliver and Eva to be on the same page of the book is 11 days.

Oliver's equation = 43 + 3tEva's equation = 21 + 5t

Based on the information given, the equation to solve the question will be:

43 + 3t = 21 + 5t

Collect like terms

5t - 3t = 43 - 21

2t = 22

t = 22/2

t = 11

Therefore, it'll take them 11 days.

Read related link on:

https://brainly.com/question/25700149

4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12

Answers

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

9:12=15:______

I need the answer pls!

Answers

Answer:

15:20

Step-by-step explanation:

We can simplify the ratio to 3:4

after doing that we can multiply both sides by 5 giving us

                          15:20   as our answer

Or you can cross multiply

9 : 12 = 15 : x

Now we have 9x = 180

divide both sides by 9 and we get

x=20

which would work giving us the ratio of                         9 : 12 = 15 : 20

if someone helps me with dis ill give u brainliest​

Answers

Answer:

4 different answers

Step-by-step explanation:

1.

[(24/3) + (5*2^2)] = 28

2.

[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3

3.

[(24/3 + 5)*2^2] = 52

4.

[(3 + 5*2^2)/24] = 23/24

Answer:

Step-by-step explanation:

1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.

The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?

Answers

Answer:

0

Step-by-step explanation:

Because Rory's higher average and Lane's higher average is 96 in Quiz 3.

96-96=0

Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?

Answers

Answer:

DE = 30

Step-by-step explanation:

Let X be the measure of side DE.

You can write this equation to represent the problem:

[tex]x *\frac{2}{3} =20[/tex]

The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.

Solve for x:

[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]

DE = 30

Which situation can be represented by this inequality 135 ≤ 10r + 15

Answers

[tex]135\leq 10r +15\\\\\implies 120 \leq 10r\\\\\implies 12 \leq r \\\\\implies r \geq 12 \\\\\text{Interval,}~~ [12,\infty)[/tex]

Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе ԁօmаіn іѕ {-3, 9, 15}.

Answers

Answer:

Range: {-5, 19, 31}

Step-by-step explanation:

Given the linear function, f(x) = 2x + 1, and the domain, {-3, 9, 15}.

In order to determine the range of the given linear function, simply substitute each domain value as inputs into the function.

x = -3

f(x) = 2x + 1

f(-3) = 2(-3) + 1

f(-3) = -6 + 1

f(-3) = -5

x = 9

f(9) = 2x + 1

f(9) = 2(9) + 1

f(9) = 18 + 1

f(9) = 19

x = 15

f(15) = 2x + 1

f(15) = 2(15) + 1

f(15) = 30 + 1

f(15) = 31

Therfore, the range of the function is: {-5, 19, 31}.

I need to answer the bottom question please help me ASAP

Answers

Answer:

60 degrees

Step-by-step explanation:

Because line ED exists, the sum of 100, 20, and x must be 180. So, just solve for x in the equation 100 + 20 + x = 180

20 + x = 80

x = 60

Write the prime factorization of 26.​

Answers

Answer:

The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.

Step-by-step explanation:

Answer:

2 and 13

Step-by-step explanation:

First, we can see that the last digit of

26

is even, and thus

26

is divisible by

2

. If we divide by

2

, we find

26

2

=

13

. As

13

is a prime number, there are no further prime factors of

26

, and so the prime factorization of

26

is

2

×

13

.

Determine the intercepts of the line.
Do not round your answers.
y = 4r +7

Answers

Answer:

(-7/4, 0) (0, 7)

Step-by-step explanation:

I'm assuming r is x

0=4r+7

r=-7/4

y=0r+7

y=7

please help :,) it’s due tomorrow and i’m so confused

Answers

I cant really interpret it for you, but here's what all the numbers mean in context:

Constant

Coefficient

This is the y-intercept of the regression line. With 0 wins, this model predicts that there will be 10834 attendants.

The other 3 values for the constant can usually be ignored.

Wins

Coefficient

This is the slope of the regression line. For every win, this model predicts that there will be an additional 235 attendants.

SE Coefficient

This is the standard error of the slope. If the data were to be collected again, you would expect the slope to vary by about 119. This also means about 68% of samples should be between 235 ± 119, or between 116 and 354. The same would apply for 95% between 2 standard errors away, and 99.7% between 3 standard errors away.

T-value

Quoting minitab's blog here, "The t-value measures the size of the difference relative to the variation in your sample data."This is equal to the coefficient divided by the standard error of the coefficient: [tex]\frac{235}{119} =1.98[/tex].This t-value is calculated only on this sample, and would differ on another sample from the same population.The t-value is also directly linked to the p-value below.

Before moving on, I'll use these hypothesis:

H₀ slope = 0 (null hypothesis, there is no relationship between the variables)H₁  slope ≠ 0 (alternative hypothesis, there is a relationship)

P-value

This is the probability of getting a t-value farther away from 0 than our t-value (1.98).The p-value can be calculated from the t-value and the degrees of freedom (number of samples) depending on if this is a one-tailed or two-tailed test.The p-value of 0.058 here is greater than the common alpha value of 0.05 (95%, below), so we cannot reject the null hypothesis, suggesting that there is no statistically significant relationship between wins and attendants. It's close though, and with a slightly lower confidence interval like 0.06 (94%), we can reject the null hypothesis and conclude that there is a statistically significant relationship.

Alpha value

The alpha value is a threshold used to judge if the test value is statistically significant.An alpha value of 0.05 is the most common, and this is a 95% confidence level, meaning you are 95% confident that the test results are accurate.

Other things

S

This is the standard deviation of the residuals. 68% would fall within 7377 away from the line, 95% would fall within 14754, etc

This is the proportion of the variance that can be explained by the predictor. r² = 12.29% means only 12.29% of the variation in attendance can be explained by the number of wins.

Adjusted R²

This one doesn't make too much sense to me in this context. An adjusted r² typically looks at whether any additional predictor variables are contributing to the predictions, but there are no additional predictors here, just wins.

Conclusion

Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.

However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.

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