Ray is six years younger than Tom. John is three times as old as Ray. Let Tom be x years old. The three of them
have a combined age of 101. How old is each person?

Answers

Answer 1
Answer:

Ray = 19 yrs old
Tom = 25 yrs old
John = 57 yrs old

Explanation:

Let x be the years of Tom

R = x - 6
J = 3R = 3(x - 6)
T = x

R + J + T = 101
x - 6 + 3(x - 6) + x = 101
2x - 6 + 3x - 18 = 101
5x - 24 = 101
5x = 125
x = 125/5 = 25

R = 25 - 6 = 19
J = 3(25 - 6) = 57
T = 25

Related Questions

what is x when the tangent of 25 equals x over 11?

Answers

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

Please help!
Please explain your answer because I need to learn this!

Find the measure of angle theta. ​

Answers

Answer:

48.2

Step-by-step explanation:

We have a right angle so we can do our three trig ratios,

Sine Cosine Tangent

Remeber SOHCAHTOA.

We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.

[tex] \cos(theta) = \frac{36}{54} [/tex]

[tex] \cos(theta) = \frac{2}{3} [/tex]

Take the inverse of both sides

[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]

Theta is equal to

[tex]48.2[/tex]

Which of the following describes the correct process for solving the equation 2x − 6 = 22 and arrives at the correct solution?

Answers

Answer:

Subtract 6 from both sides and then divide by 2. The solution is x = 8.

                                                  Thank You

Answer:

x=8

Step-by-step explanation:

RS = 3y + 3, ST = 2y + 7, and RT=-10y-10

Answers

Answer: y = -4/3

Explanation:

RS + ST = RT
3y + 3 + 2y + 7 = -10y - 10
5y + 10 = -10y - 10
15y = -20
y = -20/15
y = -4/3

The reduce feature on a copy machine is set
at 84%. The picture being copied is 4.5
inches wide. What will be the width of the
reduced picture?

5.35 in.
2.9 in.
3.78 in.
0.72 in.

Answers

Answer:

c) 3.78

Step-by-step explanation:

find the distance between the two points in simplest radical form

Answers

2 over 17 is the answer to this problem

The distance between the two points (7, - 1) and (9, - 9) is,

d = √68

We have to given that,

To find the distance between the two points (7, - 1) and (9, - 9)

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

The distance between the two points (7, - 1) and (9, - 9) are,

d = √ (9 - 7)² + (- 9 + 1)²

d = √4 + 64

d = √68

Therefore, the distance between the two points (7, - 1) and (9, - 9) is,

d = √68

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ7

Katie and mina both commute to work. Katie's commute on train takes 10 minutes more then 1/2 as may minutes as Mina’s commute by car. It takes Katie 30 minutes to get to work which equation determines how many minutes it takes Mina to get to work. (9th grade Algebra 1)

Answers

Answer:

It’s A.

Step-by-step explanation:

Took the test and got it right

In the figure MX = NY
MX and NY are parallel.

i) Are the sides of ∠MPX equal to the sides of ∠NPY ?

ii) what is the special about the postion of P on MN

Answers

Answer:

i) yes

ii) it splits MN in half (bisector)

Step-by-step explanation:

We are given that MX and NY are parallel. This means, due to alternate interior angles, <XMN and <YNM are congruent as well as <MXY and <NYX. We are also given MX = NY. This is enough information to prove ΔMPX is congruent to ΔNPY due to ASA(two angles and a side between them).

(i) Now, because of this, we can say that all the sides of ΔMPX are congruent to those of ΔNPY. And, this means MP = NP. Since the point P divides the segment MN into two equal pieces, it's a bisector of MN(splits it in half).

Answer:

YesPoint of intersection

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Which expression is equivalent to 7.90 + 8.5 + 8.60 + 1.3?
O 16.4u + 9.9
0 -0.7u + 9.8
Submit Answer
O 16.54 + 9.8
0 -0.74 + 7.2
о

Answers

Answer:

[tex]⚪ \: \: 16.5u + 9.8[/tex]

Step-by-step explanation:

[tex]7.9u + 8.5 + 8.6u + 1.3 \\ = (7.9 + 8.6)u + 8.5 + 1.3 \\ = 16.5u + 9.8[/tex]

A motorboat travels 275 kilometers in 5 hours going upstream. It travels 405 kilometers going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Answers

Step-by-step explanation:

[tex]275 \times 5 = 1375 [/tex]

The rate of the motorboat on still water is 1375

[tex]405 \times 5 = 2025[/tex]

The current rate of the motorboat is 2025

Pls help me I’m not very smart

Answers

Answer:

39.90

Step-by-step explanation:

multiply 95x42, ur not smart if you think u arent.

39.90 is the answer keep up the work

Write 4/33 as a decimal step by step please

Answers

Answer:

0.12121212121212

Answer:

0.12121212...

Step-by-step explanation:

4÷33

a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter

Answers

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

Find the Product.
1.45 X 3.8-

Answers

Answer:

the answer for this question is 5.51

g(x) = f(x) +2
if f(x) is 2x

Answers

Answer:

You didn't put the question well but if I am right, the question is asking of g(x) if f(x) is 2x.

then g(x)=2x+2

can any one solve this problem ​

Answers

Answer:

sorry i can't

please mark me as brainlest

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Select one:
O a. 23
O b. 34
O c. 35
O d. 40

Answers

Answer:

34343434343434343434

YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Antonio circled 72, 78, 84, and 90 on a hundreds chart. If Antonio continues his pattern, what two numbers will be next in the pattern?

Answers

Answer:

96, 102

Step-by-step explanation:

We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.

It can be continued by adding 6 to the last number:

90 + 6 = 9696 + 6 = 102

72,78,84,90..are in AP

a=72d=6

[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]

[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]

What is the segment 7x+5=8

Answers

Step-by-step explanation:

7x - 5 = 8

7x = 8 + 5

7x = 13 (divide both sides by 7 to get x)

7x/7 = 13/7

x = 1.85714285714

even more math.......

Answers

Answer:

A

Step-by-step explanation:

We don't know the height of the building, and it's changeable because we multiplied it by 1/2, also, the rest of the values are revealed, so the answer is A.

Scils Practice convert the following factions into decimals. You must show your work.


How can I turn the fraction 3/12 into a decimal?

Answers

ANSWER:
0.25

work shown

What is 5 2/3 in radical form?



Answers

5^(2/3)=25^(1/3)
Third one ( the one below your selection)

Translate to an algebraic expression.
29 more than n

Answers

Answer: n+29
20 letters…

I need a step by step correct answer bc i need to get in this college please help :(

Answers

Answer:

please mark me brainliest

Step-by-step explanation:

-6÷3×2+3÷3

using Bodmas(bracket of division multiplication addition and subtraction)

-2×2+1

-4+1

-3

A box of cereal states that there are 90 calories in 3/4 cup serving. How many calories are there in 4 cups of the cereal

Answers

Answer:

480

Step-by-step explanation:

Let x be the calories in 4 cups

Set it up

[tex]\frac{90}{\frac{3}{4}}=\frac{x}{4}[/tex]

Step 1: Switch sides

[tex]\frac{x}{4}=\frac{90}{\frac{3}{4}}[/tex]

Step 2: Apply fraction rule

[tex]\frac{x}{4}=\frac{90\cdot \:4}{3}[/tex]

Multiply

[tex]\frac{x}{4}=\frac{360}{3}[/tex]

Divide

[tex]\frac{x}{4}=120[/tex]

Step 3: Multiply both sides by 4

[tex]\frac{4x}{4}=120\cdot \:4\\\\=480[/tex]

There are 480 calories in 4 cups of the cereal.

Please help with questions 4,5 and 6!

Answers

Answer:

Step-by-step explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 )  & (3 , 6)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]

             [tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

             = (2 , 4)

6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

                  [tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]

Solve 29 – 3:= 5x + 5 for x.​

Answers

Answer:

x=4.2

Step-by-step explanation:

29-3=5x+5

21=5x, x=21/5=4.2

X=4.2 because 29-3=5x +5 for d

I really need help because I’m so confused where to start and it’s due tomorrow :(

Answers

Answer:

1. 8t+4v

A.9v+7t+6

S.14v+7t

93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]

Answers

Answer:

a) 23 and b) 13

Step-by-step explanation:

I. If f(g(x)) is composit function

Find fog and gof

     fog = 3(g) - 1

           = 3(x+5) -1

           = 3x + 15 -1

           = 3x + 14

    gof = (f) + 5

          = (3x - 1) +5

          = 3x + 4

II. Fill in a) and b) question

            lim x -> 3 fog

           = 3(x) + 14

           = 3(3) + 14

          = 9 + 14

       a)  = 23

            lim x-> 3 gof

           = 3x + 4

           = 3(3) + 4

           = 9 + 4

        b)  = 13

Got more question or something to discuss, leave comment below

Find the sum of
2x^2- 8x– 6 and 9x^2-8

Answers

Answer:

11x^2-8x-14

Step-by-step explanation:

(2x^2- 8x– 6)+(9x^2-8) = 11x^2-8x-14

Answer:

11x^2-8x-14

Step-by-step explanation:

2x^2- 8x– 6 and 9x^2-8

solution:

2x^2- 8x– 6 +(9x^2-8)

=2x^2-8x–6+9x^2-8

=2x^2+9x^2-8x-6-8

=11x^2-8x-14

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