Sam is 34 years younger than Ashton. 4 years ago, Ashton's age was 3 times Sam's age. How old is Sam now?

Answers

Answer 1

Answer:

21years old

Step-by-step explanation:

Let Sam's age be x

Let Ashton present age be y

If Sam is 34 years younger than Ashton then;

x = y - 34 .... 1

If by 4 years ago, Ashton's age was 3 times Sam's age then;

Sam = x - 4

Ashton = y - 4

y-4 = 3(x-4)

y-4 = 3x - 12 ....2

Substitute 1 into 2;

y-4 = 3(y-34)-12

y-4 = 3y-102-12

y-4 = 3y - 114

y-3y = -114 + 4

-2y = -110

y = 110/2

y = 55

Since x = y- 34

x = 55-34

x = 21

Hence Sam will be 21years old now


Related Questions

17/18 dived by 2/4 as a reduced fraction

Answers

Answer:

1 8/9

Step-by-step explanation:

Hope you enjoy :)

Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line? ​

Answers

Answer:

y-3=2(x-10)

Step-by-step explanation:

y-3=2(x-10)

Help me down below

PLEASE

Answers

Answer:

there is one more zero

Step-by-step explanation:

now it's 8 million rather than 800 thousand.

wahat is 3556+55432

plaease fast

Answers

Answer:

58988

Step-by-step explanation:

3556+55432

=58988

.Find x in the following figure. plss helpp need ans asap!​

Answers

Answer:

80

Step-by-step explanation:

This is a pentagon (5 sides), n=5

The sum of internal angles equals (n-2)*180 = 540°

We have

A = 90

B = 180-40

C = 180-x

D = 180-60

E = 180-90

Sum all the angles to equal 540°

90 + 180-40 + 180-x + 180-60 + 180-90 = 540

620-x = 540

solve for x

x = 620 - 540 = 80

Answer:

80

Step-by-step explanation:

the answer should be 80 just as mathmate explained

Bye !

When 2(3/5x+2 3/4 is simplified what is the resulting expression

Answers

Answer:

A. 1 7/10x+2 1/2y+6

B. 7/10x+2 1/2y+6

C. 7/10x+8 1/2y+6

D. 1 7/10x+4 1/4y+3

Work out the surface area of this cylinder.
Height=25
Diameter=12

Answers

A=2πrh+2πr2=2·π·6·25+2·π·62≈1168.6724

Which is an equation of the line with
slope that contains the point (6, 4)?

Answers

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]

Convert each measurement to a more appropriate unit. State why you think this is a better
unit to use.
a) Mount Logan, in southwestern Yukon, is 595 900 cm tall.
b) The diameter of an apple is 0.064 m.
c) The largest brown bear, the Kodiak, is 2440 mm in length.

Answers

Step-by-step explanation:

a) Mount Logan, in southwestern Yukon, is 5959 m tall.

b) The diameter of an apple is 6.4 cm.

c) The largest brown bear, the Kodiak, is 2.44m in length.

The reason is that we need to use appropriate estimation method and approximation to present a meaningful figures in our life. Take the size of the apple as an example, we won't care it is one mm bigger or smaller.

4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*​

Answers

Answer:

x>6

Step-by-step explanation:

I know I’m not good at writing.

find the value of unknown angles​

Answers

Step-by-step explanation:

x=y=75°

y+30=z

105=z

!!!!!!!!!!

Answer:

x = 75 degree , y = 75 degree , z = 105 degree

Step-by-step explanation:

x = 75 degree (being corresponding angles)

x=y (being corresponding angles)

75 = y

substituting the value

y + 30

75 + 30

105 degree

z = y + 30 (being corresponding angles)

z = 105 degree

PLEASE HELP MEEEEEEEEEEEEE

Answers

Answer: 20 ft

Step-by-step explanation:

The mirror is set away from the flagpole on the same scale set away from her.

The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.

This means her size x4 is the size for the flag pole. This checks out because 12x4=48

So to find the height we must do 5x4

5x4=20

Find an equation of a line that is perpendicular to y = -4x + 3 and passes through the point (4, -1).

Answers

Answer:

y = 1/4x - 2

Step-by-step explanation:

y = 1/4x + b

-1 = 1/4(4) + b

-1 = 1 + b

-2 = b

Please help 50 points!
Simplify the expressed

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex]  rewrite as multiplication

[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex]  look to factor

[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex]  , difference of 2 squares and perfect square

[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify

2(x+3)

Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm and the base one is 40cm and the base two is 35 cm. Ahmed is finding the area of the building model. What is its area?
PLSSS HELPP

Answers

Answer:

Area = 1500 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area= height ×(Base 1 +base 2)

Area = 20 × (40+35)

Area = 20×75

Area = 1500 [tex]cm^{2}[/tex]

What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin?​

Answers

Answer:

45

Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.

9

I have a lot of questions;-; help!

Answers

Mean: 6,6,7,7,8,8,8,8,9,9,9,10,10,10
8+8=16/2= 7

The maximum number of students in a classroom
is 26. If there are 16 students signed up for the
art class, how many more students can join the
class without exceeding the maximum?

Answers

10 students can join the class without exceeding the maximum

Answer:

10 students

Step-by-step explanation:

The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10

Minke earned $100 working for h hours in a resuarant. He earns $10 an hour, and recieved $30 in tips. Write an equation using this information.​

Answers

Answer:

10h + 30 = 100

Step-by-step explanation:

10h + 30 = 100

Answer:

140$

Step-by-step explanation:

So Mike earned 100$ right. So he earns 10$. And got 30$ by Tips The answer is 140$ I hope it helps :)

what expressions are equivalent to 3-b​

Answers

Answer:

hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol


A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd
scores a 55 on the test.
Select the answer from the drop-down menu to correctly complete the statement.
Based on the mean of 70 and his raw score of 55, Todd's z-score must be Choose

Positive
negative

Answers

Answer:

negative

Step-by-step explanation:

calculating the z score by subtracting the mean and dividing by the standard deviation

(55-70)/10= -1.5

It's negative

The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?

Answers

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

And, The first and last rung should be 6 inches from the respective ends.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.

Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 27.
Use the variable b for the unknown number.

Answers

Answer:

2b-10≤27

Step-by-step explanation:

In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.

[tex]2(b-5)\leq 27\\2b-10\leq 27\\[/tex]

If you wish to solve for b from here, simply isolate the term containing b and solve from there.

I hope this helps! Let me know if you have any questions :)

Answer:

2(x - 5) < 27

Step-by-step explanation:

Equation

2(b - 5)<27

Explanation

Break this down

difference means subtract.

The number is b

and finally for now, the difference between a number and 5 is

x - 5

Twice that difference is

2(x - 5)

And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.

26.999999999999 < 27

So the final result is

2(x - 5) < 27

What are the coefficients in the problem 7a + 5b =c

a and b

5 and c

a,b,and c

7 and 5

Answers

Answer:

7 and 5

Step-by-step explanation:

they have variables with them

Answer:

D

Step-by-step explanation:

what is the answer for 10(x-7)=y

Answers

x intercepts- (7,0)
y intercepts- (0,-70)

pls help ill give brainleiesr​

Answers

Answer:

<1 and <3 are vertical angles

Step-by-step explanation:

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

<1 and <3 are vertical angles

<2 and <4 are vertical angles

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

● <1 and <3 are vertical angles● <2 and <4 are vertical angles

Help. Direct answers pls

Answers

Answer:

a₄ = 256

Step-by-step explanation:

Using the given definition , then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Answer:

256

Step-by-step explanation:

a₁ = 2

a₂ = (a₁)² =  2 ² = 4

a₃ = (a₂)² = 4² = 16

a₄ = (a₃)² = 16² = 256

Need quick help with this math

Answers

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Both of them are correct in my opinion

Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!

Answers

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Solve the system of equations. Simplify your answer. Write the solution as an
ordered pair. *
2p+59 = 1
5p + 139 = 2

Answers

Answer:

(-29,-27.4)

Step-by-step explanation:

2p+59=1

     -59 -59

2p=-58

/2     /2

p=-29

5p+139=2

     -139 -139

5p=-137

/5      /5

p=-27.4

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