Zac is 18 years old.
The ratio of Zac's age to Ed's age is 2:1.
Tim's age is 2/3 Zac's age.
How old is Tim?

Answers

Answer 1

Answer:

Tim is 12 years

Step-by-step explanation:

Given that Zac is 18 years old and Tim's age is 2/3 Zac's age, to compute Tim's age, we would multiply Zac's age with the fraction.

Such that;

Tim's age = 2/3 * 18

= 2* 18/3

= 2 * 6

= 12 years

Hence Tim is 12 years old.


Related Questions

y
is directly proportional to
x
2
.
If
y
=
20
when
x
=
2
find
x
when y=45

Answers

Answer:

x=4.5

Step-by-step explanation:

so when y=20 and x=2, y is 10 times x so, 45/10=4.5

Answer:

3

Step-by-step explanation:

i said by accident but hegarty says it's right

What is the scale factor of this dilation?

A:2/3
B:1 1/2
C:3
D:5


Please hurry it’s timed

Answers

Answer:

1 1/2

B

Step-by-step explanation:

Haley's anole lizard has a tail that is 7.25 centimeters long. Caleb's anole lizard has a tail that is 6.17 centimeters long. An anole lizard's tail is half the length of the lizard. How much longer is Haley's lizard than Caleb's lizard? Show your work.​

Answers

Answer: 2.16 centimeters

Step-by-step explanation: You would multiply the tail lengths by two, since the tail length is half of the lizards body.

7.25 x 2 = 14.5 and 6.17 x 2 = 12.34

Then you would subtract Haley's lizard's length from Caleb's lizard's length. 14.5 - 12.34 = 2.16

Good luck! :D

Haley's lizard is 2.16 centimeters longer than Caleb's lizard

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We would multiply the tail lengths by two, since the tail length is half of the lizards body.

Thus,

7.25 x 2 = 14.5

6.17 x 2 = 12.34

Then we would subtract Haley's lizard's length from Caleb's lizard's length.

14.5 - 12.34 = 2.16

Therefore, Haley's lizard is 2.16 centimeters longer than Caleb's lizard

Learn more about multiplications;

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calcule el cociente de los siguientes ejercicios
(-8)/(+2)​

Answers

Answer:

-4

Step-by-step explanation:

!!!ANSWER IMEDDIATELY!!! What is the area of this trapezoid?​

Answers

Answer:

A

Step-by-step explanation:

I worked it out :)

Question 3
Describe the function between x=-4 and x = -1.

Answers

Answer:

liner increasing

Step-by-step explanation:

A small university has 200 first-year students. Historically at this university, 88% of first-year students graduate in four years. Assume that whether or not one student graduates is independent of whether or not another student graduates. Let X represent the number of first-year students who graduate in four years. What are the mean and standard deviation X?

Answers

Answer: c is the answer . 176, 4.60

Step-by-step explanation:

just trust me bro

Leona has a large bag of apples.
There are 320 apples in the bag.
She uses 1/4 of the apples to make some juice.
She uses 20% of the apples to make some pies.
How many apples are left

Answers

Answer:

176

Step-by-step explanation

1/4*320= 80

20%=1/5

1/5*320=64

64+80=144

320-144

the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?​

Answers

It is the place value in the hundreds

The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

The value of 5 in the given numbers can be written as,

The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.

Now, we can write the value of the two numbers as,

5 = 0.5 × x

x = 5/0.5

x = 10

Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

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An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.

Answers

Answer:

$7700

Step-by-step explanation:

As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700

$5000 initial + $2700 interest = $7700

EDIT:

It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.

6% interest is $300 per year

$300÷12= $25 per month

$25 x 9 months = $225

$5000 initial plus $225 interest = $5225 total

(20,-6)(6,5) find the slope

Answers

Slope (m) =
ΔY
ΔX
=
5
4
= 1.25
θ =
arctan( ΔY )
ΔX
= 51.34019174591°
ΔX = 6 – -6 = 12
ΔY = 20 – 5 = 15
Distance (d) = √ΔX2 + ΔY2 = √369
= 19.209372712299

Equation of the line:

y = 1.25x + 12.5

or
y =
5 x
4
+ 25
2
When x=0, y = 12.5
When y=0, x = -10

If you want your life to be color full eat crayons

Answers

Answer:

omg.... that makes absolute sense ty I never thougth of it like that

Step-by-step explanation:

what is the length of the diagnal of the rectangle- iready

Answers

Answer:the what:0

Step-by-step explanation:

the amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. the distribution is not normal many people pay about $76 for basic cable and about $160 for premium service but some pay much more. a sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. let x hat be the mean amount paid.
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Part b: what is the shape of the sampling distribution of x hat justify your answer.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143? show your work.

Answers

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean monthly fee is $142 and the standard deviation is $29.

This means that [tex]\mu = 142, \sigma = 29[/tex]

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is [tex]s = \frac{29}{\sqrt{1500}} = 0.7488[/tex]

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{143 - 142}{0.7488}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143


Jamil makes a drink by mixing
1 part of orange squash with 9 parts of water.
He uses 750 millilitres of orange squash.
Jamil is going to put the drink he has mixed into 1 litre bottles.
Work out the greatest number of 1 litre bottles that Jamil can completely fill.

Answers

Answer:

7 bottles

Step-by-step explanation:

first, calculate the volume of the total ammount of soloution

750ml + 9(750ml)=7500ml

then divide by 1000 to put the total into litres

7500/1000=7.5L

7.5L goes into 1L exactly 7 times with a remainder of 500ml as the bottles are required to be completely full

For this exponential function what is the output value (y) when the input value (c) is 3?

Answers

Answer:

y = 40

Step-by-step explanation:

Given, y = 5 * 2^x

If x = 3, y would be:

Substitute the value of x into the given function.

Thus,

y = 5*2³

y = 5*8

y = 40

Paige is a graphic designer who makes logos for companies. She makes a design for a logo, which is in the shape of a square. The design of this logo is drawn on the coordinate plane as square ABCD. She then dilates this logo by a scale factor of 2, forming square A'B'C'D'. She realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form A"B"C"D". What are the coordinates of vertex A' and vertex C"?

Answers

Answer:

c

Step-by-step explanation:

c because trust me i did it before im in 10th grade now

Match the equations to the lines below :

y = 1/2x - 1
y= -1/2x + 1
y= 1/2x + 1
y= -2x - 1
y= 2x - 1
y= -1/2x - 1

Answers

1.) y = 1/2x - 1 is F

2.) y = -1/2 + 1 is C

3.) y = 1/2x + 1 is E

4.) y = -2x - 1 is A

5.) y = 2x - 1 is B

6.) y = -1/2x - 1 is D

Can y’all help me a question 25?!

Answers

Answer:

19.8839 miles away

Step-by-step explanation:

:)

Find two consecutive numbers whose sum is 55

Answers

Answer:

27 and 28

Step-by-step explanation:

Answer and Step-by-step explanation:

27 and 28.

27 plus 28 equals 55.

To know which numbers to use, we have to find two numbers that would produce a number that would include the digit of the second number in 55. Then, we find numbers that add up to 5, then minus by 1.

#teamtrees #WAP (Water And Plant)

For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1

Answers

Answer:

The answers include

x + 2 =10

x - 4 = 4

3x = 24

Start Fraction x Over 8 End Fraction = 1

Step-by-step explanation:

x + 2 = 10; 8 + 2 = 10

x - 4 = 4; 8 - 4 = 4

3x = 24; 3(8) = 24

Start Fraction x Over 8 End Fraction = 1; 8/8 = 1

Equations with solution x = 8 are

x + 2 = 10,

x minus 4 = 4,

3x = 24,

Start Fraction x Over 8 End Fraction = 1

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given equations

x + 6 = 2

⇒ x = 2-6

⇒ x = -4

x + 2 = 10

⇒ x = 10 - 2

⇒ x = 8

x minus 4 = 4

x - 4 = 4

⇒ x = 4 + 4

⇒ x = 8

x minus 2 = 10

x -2 = 10

⇒ x = 10+2

⇒ x = 12

2x = 4

⇒ x = 4/2

⇒ x = 2

3x = 24

⇒ x = 24/3

⇒ x = 8

Start Fraction x Over 2 End Fraction = 16

x/2 = 16

⇒ x = 2(16)

⇒ x = 32

Start Fraction x Over 8 End Fraction = 1

x/8 = 1

⇒ x = 8(1)

⇒ x = 8

Hence, equations

x + 2 = 10,

x minus 4 = 4,

3x = 24,

Start Fraction x Over 8 End Fraction = 1

have 8 as solution.

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Could you help with this question?

(X-2)= -5.5

Answers

Answer:

-3.5 i believe

Step-by-step explanation:

Answer : X=-3.5

Step-by-step explanation:

Jen has one rope that is 13 1 8 feet long and another that is 21 3 4 feet long. Kelsey has a rope that is 35 1 2 feet long. Which of the following shows who has more rope and how much more? A. Jen has 5 8 feet more rope. B. Jen has 1 5 8 feet more rope. C. Kelsey has 5 8 feet more rope. D. Kelsey has 1 5 8 feet more rope. you will get 15 or more points 5 stars brainisit if you are quick

Answers

Answer:

Kelsey has 5/8 feet more rope

Answer: C

Step-by-step explanation:

Noah wrote that 6+6 =12. Then he wrote that

6+6 -n =12 - n. Are his equations balanced? Explain.

Answers

Answer:

Hs equations are balanced

Step-by-step explanation:

To check whether both equations are balanced, we will simplify

6+6 -n =12 - n

Add n to both sides of the equation using additive property

6+6-n+n = 12-n+n

6+6 +0 = 12+0

6+6 = 12 (This gives the other equation)

Since they are both equal, this shows that the equations are balanced

Which equation correctly demonstrates the distributive property?
A.- 2(3a + 1) = - 6a + 1
B.- 2(3a + 1) = - 6a - 2
C.- 2(3a + 1) = 6a + 1
D.- 2(3a + 1) = 6a + 2

Answers

Answer:

B)

Step-by-step explanation:

I hope this helps :)

In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row

Answers

Answer:

26

Step-by-step explanation:

2 squares + 3 circles = 31. So, the sum of the squares is divisible by two, and the sum of the circles is divisible by 3. Then, I used trial and error to figure out that the square's value is five, and the circle's value is seven. 5 + 7 + 7 = 19. 27 - 19 = 8. The triangle's value is eight. 5 + 7 + 12 = 24. It works. 15 + 7 + 4 = 26

The sum of the shapes in the fourth row is 24 and this can be determined by using the arithmetic operations and by forming the linear equations.

Given :

In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given.

Let the symbol of the circle be denoted by 'x', square be denoted by 'y', and triangle be denoted by 'z'.

Now, the linear equations that represent the given diagrams are:

2y + 3x = 31   --- (1)

y + 2x + 3z = 27   --- (2)

3y + x + z = 24    --- (3)

Now, evaluate equation (1) for 'y'.

[tex]\rm y=\dfrac{31-3x}{2}[/tex]  --- (4)

Now, substitute the value of y in equation (2).

[tex]\rm \dfrac{31-3x}{2}+2x+3z=27[/tex]

31 - 3x + 4x + 6z = 54

6z = 23 - x

[tex]\rm z = \dfrac{23-x}{6}[/tex]    --- (5)

Now, substitute the value of 'y' and 'z' in equation (3).

[tex]3\times \dfrac{31-3x}{2}+x+\dfrac{23-x}{6}=24[/tex]

[tex]279-27x+6x+23-x=144[/tex]

158 = 22x

[tex]x = \dfrac{79}{11}[/tex]

Now, substitute the value of x in equations (4) and (5).

[tex]\rm z = \dfrac{23-\dfrac{79}{11}}{6}[/tex]

[tex]z = \dfrac{29}{11}[/tex]

[tex]\rm y=\dfrac{31-3\times \dfrac{79}{11}}{2}[/tex]

[tex]y=\dfrac{52}{11}[/tex]

The last equation is written in terms of x, y, and z as:

= 3y + x + w

Now, substitute the value of known terms in the above equation.

[tex]=3\times \dfrac{52}{11}+\dfrac{79}{11}+\dfrac{29}{11}[/tex]

[tex]=\dfrac{156+79+29}{11}[/tex]

= 24

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Solve 2x + 5 = 12 please help ​

Answers

Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

Jessica is selling books during the summer to earn money for college. She
earns a commission on
each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(X) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors.
B. She will lose $10 per week if she does not knock on any doors.
C. If she does not knock on any doors at all during the week, she will
lose $30.
D. Her expenses are $30 per week.

Answers

It’s c I just took the test and got a hundred

4 + 1/5r = -1
r = ?

Answers

Answer:

 r= 25

Step-by-step explanation:

1/5r= -5

1= -25r

r= 25

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

Answer: B. 8

Step-by-step explanation: 3*2=6. What you have to do to the top you have to do to the bottom. So, 4*2=8

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