George is twice the age of Mike minus 5. The sum of George and Mike's ages is 31. How old is George and write an equation to represent this situation.

Answers

Answer 1

Answer:

George is 19

Step-by-step explanation:

George is g and Mike is m

g = 2m - 5g + m = 31

Substitute g in the second equation

2m - 5 + m = 313m - 5 = 313m = 36m = 12

Finding g

g = 2*12 - 5 = 24 - 5 = 19

Related Questions

A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. Write an equation to represent the relationship between the total weight of the bowl in grams, and the tablespoons of sugar,

Answers

Answer:Total Weight of Bowl W = 340 + (12.5T) grams

Step-by-step explanation:

Alana bought some cans of paint and 1/2 of a liter of special paint additive formulated to reduce mildew. Before painting her house, she used all of the additive to put 1/8 of a liter of additive in each can. How many cans of paint did Alana buy?

Answers

Answer:

Alana bought 4 cans of paint additive

Step-by-step explanation:

Proportions

If a proportional amount of x is to be distributed between y elements, each one of them gets x/y portions.

For example, if we have 100 coins and distribute evenly between 20 boxes, each box will receive 100/20=5 coins.

Alana bought 1/2 of a liter of the special paint additive and evenly distributed it between an unknown number of cans, let's call it C. We also know each can received 1/8 of a liter of the additive. That is the proportion of the 1/2 liter of additive.

We can establish the following condition:

[tex]\displaystyle \frac{1/2}{x}=\frac{1}{8}[/tex]

Solving for x:

[tex]\displaystyle \frac{1/2}{\frac{1}{8}}=x[/tex]

Transform the division into a product:

[tex]\displaystyle x=\frac{1}{2}\cdot\frac{8}{1}=4[/tex]

Alana bought 4 cans of paint additive

HELP ME I NEED THIS ONE RIGHT

Answers

Answer:

x=8

Step-by-step explanation:

The diagonal lengths of three rectangles are shown . The rectangles are not drawn to scale . Which list shows the rectangles in order by their diagonal lengths from shortest to longest ?

Answers

Answer:

B. Rectangle T, Rectangle P, Rectangle S.

Step-by-step explanation:

To determine which list shows the correct order of the length of the diagonals of the rectangles from shortest to longest, let all the lengths be in decimal form:

Rectangle P = 6.7 cm

Rectangle S = [tex] \frac{34}{5} cm [/tex] = 6.8 cm

Rectangle T = [tex] \sqrt{36.5} cm [/tex] ≈ 6.04

Thus:

6.04 cm < 6.7 cm < 6.8 cm

Therefore, from the shortest to the longest, we have:

Rectangle T < Rectangle P < Rectangle S.

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what is 39/100 simplified

Answers

Answer:

0.39

Step-by-step explanation:

Answer:39/100

Step-by-step explanation: it can't be simplified

What’s the solution to f

Answers

Answer:

65

Step-by-step explanation:

Answer:

f = 65

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

201.5 = f + 136.5

Step 2: Flip the equation.

f + 136.5 = 201.5

Step 3: Subtract 136.5 from both sides.

f + 136.5 − 136.5 = 201.5 − 136.5

f = 65

PLEASE HELP I CANT GET THESE TYPE OF PROBLEMS


A racing car consumes a mean of 101 gallons of gas per race with a variance of 49.


If 43 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 2.4 gallons? Round your answer to four decimal place

Answers

Answer:

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is 0.86558

Step-by-step explanation:

The given parameters are;

The mean, [tex]\bar x[/tex] = 101 gallons

The population mean = μ

The variance, σ² = 49

The number of racing cars, n = 43

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is given as follows;

P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = P(2.4 > [tex]\left | \bar x - \mu \right |[/tex] >-2.4)

The formula for the test of the mean, Z₀, is given as follows;

[tex]Z_0 = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n} } }[/tex]

Therefore, we have;

[tex]P \left (\dfrac{2.4}{\dfrac{\sqrt{49} }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{\sqrt{49} } {\sqrt{43} } } \right) = P \left (\dfrac{2.4}{\dfrac{7 }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{7} {\sqrt{43} } } \right)[/tex]

Which gives;

P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 = P(2.25 > Z > -2.25)

(We round up to 2.25 because that is the accuracy of the z-table)

From which we have;

P(Z > -2.25) - P(Z > 2.25) = (1 - P(Z < -2.25)) -  (1 - P(Z < 2.25))

P([tex]\left | \bar x - \mu \right |[/tex]) >2.4 =  (1 - 0.1222) - (1 - 0.98778) = 0.86558

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons = 0.86558.

Whats the estimated answer for 3,178 + 1,452 ?

Thank you!

Answers

3,178+1,452≈4,600
hope this helped

Answer:

4,360

Step-by-step explanation:

      3,178

   +

      1,452        

   =

     4,360

a health club chargers a monthly fee of $99 plus $2 per visit. donny paid $121 for the month of october. how many times did he visit the gym

Answers

Can you submit a picture form for this, so I can further assist you. :)

7. Find the equation of a line in slope intercept form that is parallel to the line below that goes through the point (6, 4). y = fx-5

Answers

Answer:

y=3/2x-5

when finding the equation of a line, we use this formula

y=mx+b

where Y= a point on the y-axis

M= ∆y/∆x

x= a point on the x-axis

and b = intercept

Step-by-step explanation:

so to in this case, we are given y= 4, x=6 and y-int = -5

substitute the value in the given equation,

therefore, 4=6m-5

4+5=6m

9/6=M

3/2=m

Answer y=3/2x-5 that is the equation of the line

Determine the distance between (2,1) and (12,13)

Answers

Answer:

[tex]d = 15.620499[/tex]

Step-by-step explanation:

To solve this question, we must use the following distance equation:

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

Plug your coordinates into the equation. Remember, a coordinate is denoted as (x, y).

[tex]\sqrt{(12-2)^{2} + (13-1)^{2}}[/tex]

[tex]\sqrt{(10)^{2} + (12)^{2}}[/tex]

[tex]\sqrt{100+144}[/tex]

[tex]\sqrt{244} = 15.620499[/tex]

Each of the 17 guinea pigs needs its cage cleaned. If it takes 1 hour to clean 4 cages, how many hours will it take to clean all 17 cages?

It will take
6
hours to clean all the cages.

Answers

Answer: 4 1/4 hours

Step-by-step explanation:

Answer:

it will take 4 hours and 30 minutes

Step-by-step explanation:

first you have to divide 4 by 17 so you would get 4 with a remainder of one. Next, four will be the number of hours and  the 1 is the 30 minutes.

(02.03 MC) The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday. By Friday evening, the temperature was 3 degrees Celsius lower than it was that morning. What was the temperature at the base camp Friday evening? (1 point) −9 degrees Celsius −8 degrees Celsius −7 degrees Celsius −6 degrees Celsius

Answers

Answer:

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Step-by-step explanation:

To get the temperature at a mountain base camp on Friday evening, we must translate statement into a mathematical form:

(i) The temperature at a moutain base camp was - 2 degress Celsius on Thursday:

[tex]T_{o} = -2\,^{\circ}C[/tex]

(ii) Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday:

[tex]\Delta T_{1} = -1\,^{\circ}C[/tex]

(iii) Friday evening, the temperature was 3 degrees Celsius lower that it was that morning:

[tex]\Delta T_{2} = -3\,^{\circ}C[/tex]

The temperature at the base camp Friday evening is:

[tex]T = T_{o}+\Delta T_{1}+\Delta T_{2}[/tex]

[tex]T = -2\,^{\circ}C-1\,^{\circ}C-3\,^{\circ}C[/tex]

[tex]T = -6\,^{\circ}C[/tex]

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Answer:

D) -6 degrees Celsius

Find the slope of the line that connects the points (0,4) and (-4,1).

Answers

Answer:

3/4

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

1-4/-4-0

-3/-4

3/4

Best of Luck!

Which number has a repeated decimal form

Answers

Answer:

2/6 has a repeating decimal

6 is a repeating decimal number.

c. Tara needs 6 batteries for her remote-control car. Brianna needs 5 times as many batteries for her science experiment. How many batteries does Brianna need?

Joe's equation: 5 cross times b equals 6

Answers

Answer: Brianna needs 30 batteries

Step-by-step explanation: 5x6=30

Answer:

frbjefhkjfehu shut up

Step-by-step explanation:

jfjewhjehjef haueofg

Please, I really need it

Answers

Answer:

2      -1          -2

Step-by-step explanation:

The answers would be...

1.) 2
2.) -1
3.) 0
4.) -1
5.) -2

(5.8 × 105)(6.4 × 102)

Answers

Hi well you didn’t tell me weather your adding them, subtracting, dividing, or multiplying. So here is the answer for all 4 of them. Adding them you get 1261.8, subtracting then you get -43.8, multiplying them you get 397555.2, and dividing them you get 1015/1088. If you just need the answer for each one (5.8x105) is 609 and (6.4x102) is 652.8. Hopefully I helped in some type of way. Have a good night :)

Answer now get ur moneyy

Answers

You would combine like term then you want to subtract and u will get the same answer as (24x + 14)°
(44x+24) is the answer

Find the value of the expression 3a - 2b + c, when
a = 4, b = 2, and c= 3

Answers

Answer:

12 - 4 + 3 = 11

Step-by-step explanation:

3(4)-2(2)+(3)= 12-4+3 then you just finish the rest :)

Evaluate the expression.
10÷(

8–

7×1)

Answers

Answer:  -⅔

...................

The function f(x) = x^3 +2x^1/3 is a polynomial
true or false​

Answers

Answer:

not a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms

Answer:

False is a Non-polynomial

pls help!
Solve the following literal equation for y.
2x - 3y = 9

Answers

Answer:

y= -3+2x/3 ...i think

Step-by-step explanation:

Answer:

sorry don't know the answers and please follow me

m23 is 6x +118)" and m 25 is 1x + 78).
1
2
4
5 6
78
What is m26?

Answers

Answer:78

Step-by-step explanation:

help me for points please

Answers

Step-by-step explanation:

if x is real number then there are infinte numbers between 3 and 5.

if x is natural number then there is just one solution and that is number 4

the answer t
is 4 .......

what is 3x=15? If anybody knows

Answers

Answer:

5

Step-by-step explanation:

3 times what equals 15

Answer:

3x means to multiply so this question means 3x=15 that x is five i believe

Step-by-step explanation:

Line PQ is located in the coordinate plane with point P at(-2,-2)
and point Q at (0,7). Point R is located at (3, 0). For what coordinates of point S will lines PQ and RS be parallel?
(5,9)
(9,5)
(5. – 1)
(1-1,5)

Answers

Answer:

The coordinates of point S are (5, 9) will make line PQ // line RS ⇒ A

Step-by-step explanation:

Parallel lines have  the same slopes

The slope of a line = Δy/Δx, where

Δ y is the change of yΔ x the change of x

Let us first find the slope of the line PQ.

P = (-2, -2) and Q = (0, 7)

Δx = 0 - (-2) = 0 + 2 = 2

Δy = 7 - (-2) = 7 + 2 = 9

The slope of PQ = 9/2

∵ Line PQ // line RS

∴ The slope of line PQ = the slope of line RS

The slope of line RS =9/2

Point R = (3, 0) and point S = (x, y)

∵ The slope of line RS = 9/2

∵ The slope = Δy/Δx

∴ Δy/Δx = 9/2

→ That means Δy = 9 and Δx = 2

Δy = y - 0

∵ Δy = 9

9 = y

Δx = x - 3

∵ Δx = 2

∴ 2 = x - 3

→ Add 3 to both sides

∴ 2 + 3 = x - 3 + 3

5 = x

The coordinates of point S are (5, 9) will make line PQ // line RS

help me please!!!!!!!!!!!!!!!!!​

Answers

not rlly surw if you are supposed to be putting dots there but if you are, I would put one a little bit before the first line for the 82.4 and one in the middle of the 600 and the line in the middle

The sum of two numbers is 68. The difference is 12.

Answers

55,13 any set of numbers with a difference of 12 that combined equals 68
Yh it’s 55-13 and 12 so thx


Triangle XYZ and Triangle RST are similar
True
O False

Answers

Answer:

True!

Step-by-step explanation:

They both are the same shape just the scale size changed! They are the same because 6 ÷ 4 = 1.5 and 3 ÷ 2 = 1.5. Pls Brainliest! ;) It would mean a lot!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

At first glance I would say that they are similar but when you look at the proportions of this triangle you could tell that they aren't at all proportional so that makes them not similar to each other at all.

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