Tom is twice as old as andy. in 4 years' time, the sum of their ages will be 32 years. Find andy's present age. Don't forget to identify your variable and answer in a full sentence.?

Answers

Answer 1

Answer:

8 years old

Step-by-step explanation:

Andy = x

Tom = 2x

So..

2x + 4 + x + 4 = 32

3x + 8 = 32

3x = 24

x = 8

Answer 2

Answer:

8 years old

Step-by-step explanation:

If we put Tom's age as x, since Andy is twice as old, Andy's age is 2x. Therefore, since Tom's age + Andy's age in two years is 32,

(x + 4) ← Tom's age in 4 years

(2x + 4) ← Andy's age in 4 years

We can now create an equation:

x+4 + 2x+4 = 32

Combining like terms, x + 2x = 3x, so now we have

3x + 4 + 4 = 32                                

4+4=8, so

3x + 8 = 32

-8          -8

3x = 24

Divide both sides by 3, and you have your answer ;

x = 8

If you liked it, please mark it Brainliest.


Related Questions

What is the answer to 6.5% of 300?

Answers

Answer:

19.5

6.5% of 300

What should be done to solve the equation?
X- 17 = 11
Add 17 to both sides.
Add 17 to the left side and subtract 11 from the right side.
Add 17 to the left side and subtract 17 from the right side.
Add 11 to both sides.

Answers

Answer:

add 17 to both sides

Step-by-step explanation:

as it cancels itself

mark brainliest

Answer:

Add 17 to both sides

Step-by-step explanation:

i did the quiz

What is the ratio of X to O?

Answers

Answer:

x:o

Step-by-step explanation:

Answer:

X : O

Step-by-step explanation:

That's a ratio.

How far could you drive on 45 gallons of gas?

Answers

Answer:

depends on what car you are driving and its gas mileage

Honestly, it all depends on what car or truck you drive and it’s gas mileage on city or highway. So for example, 589.6 miles is how far you can go if your car contains 22 gallons of gas and your car gets 26.8 miles per gallon.

What number can be added to the right side of the equation to change it to a function with one real zero

Answers

Answer:

+3

Step-by-step explanation:

Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.

Determine the number of possible positive real zeros and the number of possible negative real zeros a. positive 1; negative 3 or 1 c. positive 3 or 1; negative 1 b. positive 1; negative 2 or 1 d. positive 2 or 1; negative 1 Please select the best answer from the choices provided

Answers

Answer:

its c on edg 2020

Step-by-step explanation:

Help Please, i will give all my points and mark brainliest!!!!!!!!!!!!

Answers

Answer:

strong

modern

weak

strong

Step-by-step explanation:

Find the surface of the figure :1ft,5ft,7ft

Answers

I don't know if this is going to be helpful but I think it is 94 ft squared

What do you use a pen for

Answers

Answer:

writing. a good pen of the type and point size that's most comfortable for you. Generally I find that fine-point pens are the best for taking notes. You can write smaller and get more on a page. If your handwriting tends to be small, you'll probably prefer a fine point.

HELPP!!! 18 POINTS
Thirty-five percent of what number is 10.5?
A. 18
B. 3.675
C. 48
D. 30

Answers

Answer:

30

Step-by-step explanation:

divide 10.5by 35/100

LOTS OF POINTS


It’s starting to get colder at night, so Sam decides to remove the goldfish from the pond in his backyard. He tries to catch the fish with a net; however, even though he can clearly see the fish in the water, he misses it. He infers that he missed because the light is being refracted. What is causing the refraction?



1: The air and the water are different colours.
2: The air and the water have different densities (and media).
3: The water is reflecting the light.
4: The air is reflecting the light.

EXPLAIN YOUR ANSWER

Answers

Answer:

Light refracts whenever it travels at an angle into a substance with a different refractive index (optical density). This change of direction is caused by a change in speed. For example, when light travels from air into water, it slows down, causing it to continue to travel at a different angle or direction. Which would make him see the fish in a spot that its not at. So 2 is the correct answer.

A pillow that usually cost $18 is marked down 25% what is the markdown and what's the new price

Answers

Markdown: $4.50
New price: $13.50

Answer:

a = 4.50

b = 13.50

Step-by-step explanation:

i did the quiz

What is the circumference and area of a circle with a radius of two

Answers

Answer:

The area and circumference is/are both 4π

Step-by-step explanation:

Formula for the circumference: 2πr

Formula for the area: πr²

2×π×2=4π

The circumference is 4π

π×2²= 4π

The area is 4π

-6(x + 7) = -4x - 2
Choose 1 answer:
No solutions
Exactly one solution
Infinitely many solutions

Answers

Answer:

-2x-44

Step-by-step explanation:

-6x-42=-4x-2

Answer:

one

Step-by-step explanation:

-6x -6×7 = -4x-2 :

-6x -42 = -4x -2 : (+4x)

-2x -42 = -2 : (+42)

-2x = 40 (/-2)

x = -20

A cellphone company collected data about students' texting skills. They collected the texting speed in words per minute according to time in minutes.Identify the data's independent and dependent variables.
The independent variable is ______.
The dependent variable is _______.​

Answers

Answer:

independent is the time. time does change throughout the experiment.

Dependent is texting speed as it can vary.

hope this helps :)

Using y=3x+9 Identify the slope (There is more than one answer)

Answers

Answer: 3

Step-by-step explanation:

Answer:

3 and 3/1! Why both you ask? Because they mean the same thing.

Step-by-step explanation:

9 is your y-intercept, and 9/1 is totally off.

Please help me with this questions!
Will mark brainliest!

Answers

Answer:

1a. 119

1c. 598

2a. 36

2c. 825

Step-by-step explanation:

1a. So to discount 15% you take 85% of 140. That is 119

1c. Take 92% of 650. That is 598

2a. So to markup 20% you take 120% of 30. That is 36

2c. Take 110% of 750. That is 825

Please Help!!! What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

Answers

Answer:

D. 27/16

Step-by-step explanation:

Volume of a cyclinder=πr^2h

Volume of cylinder A=πr^2h

r=3

h=3

π=3.14

=3.14×3^2×3

=3.14×9×3

=84.78

Volume of cylinder B

r=2

h=4

Volume of cylinder B=πr^2h

=3.14×2^2×4

=3.14×4×4

=50.24

Ratio of A to B

=84.78/50.24

Change to fraction

=84.78×100/50.24×100

=8478/5024

=27/16

Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.

Answers

Answer: $22.12

Step-by-step explanation:

I just did the compound interest formula which is

starting amount * (1. interst rate) ^ number of years

example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;

100 * (1.10) ^20 = 672.74$

but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;

I know the answer is right because I asked my teacher and it's correct.

REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$

The amount should be $22.12.

Important information:Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998

calculation:

[tex]= 18 \times (1.51) ^{.5}[/tex]

= $22.12

learn more about the percentage here: https://brainly.com/question/21678821

What’s the value for x? please help

Answers

Look at the attached picture

Hope it will help you....

Follow me for more.

-pragya~~

Can anybody help me solve this? You must solve for X first. I will mark as brainliest if there is an explanation.


(Click on image for full picture)

Answers

Answer:

106 degrees

Step-by-step explanation:

Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)

11x + 1 + 12x + 10 + 75 + 90 = 360

23x + 176 = 360

23x = 184

x = 8

when x = 8,

<VUX = 12x + 10 = 12(8) + 10 = 106 degrees

Answer:

∠VUX = 106º

Step-by-step explanation:

Once the Quadrilateral add up to 360,

[tex]360\º=90\º+11x+1+75\º+12x+10\\360\º=176\º+23x\\8\º=x[/tex]

The measure of ∠VUX is [tex]12x+10[/tex]

Once [tex]x=8\º[/tex]

[tex]12(8)+10\\106[/tex]

Determine the projection of vector w onto vector u. u=9i-6j, v=-3i-2j, w=19i+15j

Answers

Answer:

[tex]proj_uw=6.2i-4.2j[/tex]

Step-by-step explanation:

The projection of a vector [tex]v[/tex] onto a vector [tex]u[/tex] is defined as the projection of the vector [tex]v[/tex] on the line that contains the vector [tex]u[/tex]. It can be calculated  using the following formula:

[tex]proj_uv=\frac{u\cdot v}{||u||^2} u[/tex]

Where:

[tex]u\cdot v[/tex]

Is the dot product between [tex]u[/tex] and [tex]v[/tex] which is given by:

[tex]u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$[/tex]

and:

[tex]||u||[/tex]

Is the magnitude of vector which can be calculated as follows:

[tex]||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}[/tex]

In this sense, the projection of vector w onto vector u is:

[tex]proj_uw=\frac{u\cdot w}{||u||^2} u[/tex]

Where the dot product between [tex]u[/tex] and [tex]w[/tex] is:

[tex]u\cdot w =(9*19)+(-6*15)=171-90=81[/tex]

And the magnitude of [tex]u[/tex] is:

[tex]||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}[/tex]

Thus:

[tex]proj_uw=\frac{u\cdot w}{||u||^2} u=\frac{81}{117} \langle9,-6\rangle=\langle6.23,-4.15\rangle\approx6.2i-4.2j[/tex]

Answer:

A on edge

Step-by-step explanation:

Got it right on quiz (:

We gave a national verbal proficiency test that has a mean score of 500 with a standard deviation of 75. What raw score would correspond to the 60th percentile

Answers

Answer:

519

Step-by-step explanation:

Let's assume that the scores for the national verbal proficiency test follow a normal distribution.

Mean score (μ) = 500

Standard deviation (σ) = 75

According to a Z-score table, the score for the 60th percentile is roughly z = 0.253

For any score "x", the z-score is given by:

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

For z = 2.53:

[tex]0.253=\frac{X-500}{75}\\X=519[/tex]

The raw score to the 60th percentile is 519.

which is the graph of f(x) = x^2 -2x+ 3

Answers

Step-by-step explanation:

there is the graph

please help..ive got some of it but some of its so confusing

Answers

Answer:

12.5%

Step-by-step explanation:

its 1/4 the area of the bigger square, so half of the 1/4 is 1/8

Use the information provided to write the equation of each circle.

Answers

Answer:

( x - 8 )^2 + ( y + 16 )^2 = 4; Option C

Step-by-step explanation:

~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 provided r ⇒ radius of the circle, centered at ( a, b ) ~

1. With that being being said, we are given the center with coordinates (8, -16), that can be plugged into this circle equation as a and b, while x and y are kept such: ( x - 8 )^2 + ( y - ( - 16 ) )^2 ⇒ simplified to be ⇒

( x - 8 )^2 + ( y + 16 )^2

2. Given the radius 2, it is convenient for us that we can simply substitute this value of r into the circle equation: ( x - 8 )^2 + ( y + 16 )^2 = 2^2

3. Now let us square the radius 2, as to simplify to ⇒

Answer: ( x - 8 )^2 + ( y + 16 )^2 = 4

Which of the following is equivalent to 7-2(x+2)<-4-3(1 - x)?

Answers

Answer:

2 < x

Step-by-step explanation:

7-2(x+2)<-4-3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7 +3x

Add 2x to each side

3-2x +2x< -7+3x+2x

3< -7+5x

Add 7 to each side

3+7 <-7+7+5x

10 <5x

Divide each side by 5

10/5 <5x/5

2 < x

Find the base of the rectangle,when you know the area. 8+8+?+?=96

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

The area if base x height

8 x height = 96

Divide both sides by 8 to find the base size:

96 / 8 = base

base = 12

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The correct answer is 12 please give me brainlest

What is the following product? RootIndex 3 StartRoot 24 EndRoot times RootIndex 3 StartRoot 45 EndRoot RootIndex 3 StartRoot 69 EndRoot 4 (RootIndex 3 StartRoot 6 EndRoot) 6 (RootIndex 3 StartRoot 5 EndRoot) 6 (RootIndex 3 StartRoot 10 EndRoot)

Answers

Answer:

Answer is C

Step-by-step explanation:

The result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex].

The product is represented as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex]

Multiply the roots

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= \sqrt[3]{24\times 45}[/tex]

Rewrite the above expression as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (24\times 45)^{1/3}[/tex]

Expand 24

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 8 \times 45)^{1/3}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 2^3 \times 45)^{1/3}[/tex]

So, we have:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 45)^{1/3}[/tex]

Express 45 as 9 * 5

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 9 \times 5)^{1/3}[/tex]

Express 9 as 3^2

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 3^2 \times 5)^{1/3}[/tex]

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3^3 \times 5)^{1/3}[/tex]

So, we have:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2\times 3(5)^{1/3}[/tex]

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6(5)^{1/3}[/tex]

Rewrite as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6\sqrt[3]{5}[/tex]

Hence, the result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex]

Read more about products at:

https://brainly.com/question/10873737

can the sides of a triangle have lengths 6, 6 , 15

Answers

Answer:

I don't think it can, because the two smaller sides cannot have a sum of less than the third side. 6+6=12, and 12 is less than 15, so it cannot be possible. You can even test this out on a piece of paper and you will see that it is not possible.

Answer:yes

Step-by-step explanation:

because 6,6 can be /\ and 15 is __ so it would be /_\....it would be a triangle

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