Tom is 8 years younger than John. Let j represent John's age in years. Write an algebraic expression to represent Tom's age in years.​

Answers

Answer 1

Answer:

(j-8)years is the answer to the question


Related Questions

At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase you save $ 0.20 $0.20dollar sign, 0, point, 20 on gas. Is your total savings on gas proportional to the number of beverages you purchase? Choose 1 answer:

Answers

Answer:

Yes! Our total savings on gas proportional to the number of beverages you purchase.

Step-by-step explanation:

Here, each liter of gas costs $3.

Every beverage you purchase you save $0.20.

So, if you purchase for $9, you will save 3*$0.20  = $0.60

So, this is proportional because when increase in purchase, there is proportional increase in savings.

- What transformation is described by the
notation (x, y) = (x-3, y)?
A translation left 3 units
B translation down 3 units
C translation right 3 units

Answers

A. Translation left 3 units

3
Answer!
Joan bought a personal stereo for $59.95. The sales tax rate was 6%.
What was her after-tax total?
a. $63.60
b. $64.55
c. $69.95
d. $63.55

Answers

Answer:

[D] $63.55

Step-by-step explanation:

GIven;

Joan bought a personal stereo for $59.95.The sales tax rate was 6%.

To FInd:

What was her after-tax total?

Note:

After-tax total = Include tax

Solve;

$59.95 × 6%=3.597

Round ⇒ 3.60

$59.95 + 3.60 = 63.55

Hence, Joan after-tax total is [D} $63.55

~Learn with Lenvy~

3/5 divided by 1 1/4

Answers

Answer:

[tex]\frac{12}{55}[/tex]

Step-by-step explanation:

To divide fractions, here are your steps:

1) Invert the fraction you are dividing by.

2) Multiply the numerators and denominators.

3) Simplify if necessary.

1)

[tex]\frac{3}{5}[/tex] / [tex]\frac{4}{11}[/tex]

2)

[tex]\frac{3 * 4}{5 * 11}[/tex] = [tex]\frac{12}{55}[/tex]

3)

Cannot be further simplified.

Answer:

12/55

Step-by-step explanation:

caculator

hello people ~
factorise: y² - 2y - 15​

Answers

Answer:

[tex](y+3)(y-5)[/tex]

Step-by-step explanation:

Given the following equation:

[tex]y^2-2y-15[/tex]

To factor any equation, we must first break the equation into different groups and then factor out common terms in till we reach our solution.

[tex]y^2-2y-15[/tex]
[tex](y^2+3y)+(-5y-15)[/tex]
[tex]y^2=yy=y(y+3)[/tex]
[tex]y(y+3)+(-5y-15)[/tex]
[tex](-5y-15)=-5(y-15)[/tex]
[tex]y(y+3)+-5(y-15)[/tex]
[tex]15\div5=3[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)=(y+3)(y-5)[/tex]
[tex]=(y+3)(y-5)[/tex]

Your answer is "(y + 3)(y - 5)."

Hope this helps.

Answer:

[tex](y-5)(y+3)[/tex]

Step-by-step explanation:

To factorize [tex]y^2-2y-15[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -15=-15[/tex]

[tex]b=-2[/tex]

Therefore, the 2 numbers that multiply together to give -15 and add together to give -2 are:  -5 and 3

[tex]\implies y^2-5y+3y-15[/tex]

[tex]\implies (y^2-5y)+(3y-15)[/tex]

Factor the parentheses:

[tex]\implies y(y-5)+3(y-5)[/tex]

Factor out the common term [tex](y-5)[/tex]:

[tex]\implies (y-5)(y+3)[/tex]

Mrs. Mueller writes an inequality on the board. The table shows the responses of four students for possible values of x.

3/5x > 6

Student:

Jacob 6

Kendra 8

Luke 10

Maya 12

Which student has a correct response to Mrs. Mueller’s inequality?

Answers

The possible value of x from the inequality 3/5x > 6 is 10; Luke got it right

How to solve inequality

3/5x > 6

divide both sides by 3/5

x > 6 ÷ 3/5

x > 6 × 5/3

x > 30/3

x > 10

Generally in mathematics, inequality in mathematics is a statement which shows or describes orders of relationship between two values with regards to greater than, less than or equals to.

Therefore, the student which has a correct response to Mrs. Mueller’s inequality is Luke

Learn more about inequality:

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The area of the triangle below is 28.8 square centimeters. What is the length of the
base?
7.2 cm

Answers

Answer:

8

Step-by-step explanation:

The length of the base of the triangle is, 8 cm.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The area of the triangle is 28.8 square centimeters.

The height of the triangle = 7.2 cm

We know that;

Area of triangle = 1/2 ( Height × Base)

Substitute all the values, we get;

⇒ Area of triangle = 1/2 ( Height × Base)

⇒ 28.8 = 1/2 ( 7.2 × Base)

⇒ 28.8 × 2 = 7.2 × Base

⇒ 57.6 = 7.2 × Base

⇒ Base = 57.6 / 7.2

Base = 8 cm

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One meaning of the word rigid is "not bendable", and another is "unable to be changed". How do those meanings correspond to the
definition of rigid motion?

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

If m 2 BOC = 27 and m ZAOC = 61, what is the measure of ZAOB?

Answers

The correct answer is D.

What is the greatest common divisor of 22021 + 22022, 32021+ 32022 ?

Answers

Answer:

2 may be the greatest one.

Answer:

12

Step-by-step explanation:

12

A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side? NO LINKS

Answers

Answer:

26.17

Step-by-step explanation:

a^2+b^2=c^2

Daisy keeps her stamp collection in a box that is 12 inches long, 10 inches wide, and 4 inches tall.

1. What is the volume of her box?

2. Daisy's friend Quinn keeps his stamp collection in a box that has the same volume as Daisy's box but different dimensions. What could be the dimensions of Quinn's box

Answers

Answer:

1. 480 inches^3

2. 6 inches tall, 8 inches wide, and 10 inches ong

Step-by-step explanation:

write at least 3 different expressions that are eqivalent to -1/2 (-12x + 30)

Answers

Answer:

6x-15 3(x-5) 3/2(2x-10)

Step-by-step explanation:

simplify

-1/2(-12x+30)

6x-15

factor in different ways

3(x-5)

3/2(2x-10)

13 divided by 7 is what in fraction form

Answers

Answer:

common fraction is written in the form of two whole numbers, one above the ... For example 3/7 would be 3 divided by 7 = 0.428 571 .

Answer: 1 and 6/7

Explanation: Because 7 goes once in 13 and 6 remains. To check you multiple 1 by 7 = 7 then add 6 = 13 and all divide by 7. Then it returns us to 13/7.

I hope it makes sense.

Find the volume of a cube with area of 1532m2

Answers

Answer:

4080.01

Step-by-step explanation:

V = 6 A2/3/36 square rooted = 6 × 1532 2/3/36 square rooted = 4080.01042

The right rectangular prism is made up of 12 cubes. Each cube has an edge length of
12 cubic inches.

Answers

Hey there!

Option answer: [tex]1 \frac{1}{2} \: \: cubic \: inches[/tex]

According to the title,

Volume = 12 × (1/2)[tex] {}^{3} [/tex]

=> 12 × 1/8

=> [tex] \frac{12}{8} [/tex]

=> [tex] \frac{3}{2} [/tex]

=> [tex]1 \frac{1}{2} [/tex]

Answer:

d

Step-by-step explanation:

first i do my formula which is length x width x height

the length is 3 the width is 2 and the height is 2 so 3x2x2 is 12

so the answer is d

solve using order of operations 6/5+8(5/8-3/5)^2​

Answers

Answer:

Step-by-step explanation:

Find the exact value using trigonometric identities.

Exact Form:

241

200

Decimal Form:

1.205

Mixed Number Form:

1

41

200

The area of a trapezoid is given by A=1/2(B+b) where A is the height B is the big base and b is the small base. We are going to plant a trapezoid shaped flower garden. What would the height of the garden be if the area was 27 ft squared and the big base was 10 and the small base was 8? Include units

Answers

Answer:

The height of the garden will be 3 ft.

Step-by-step explanation:

Given;

area of trapezoid, A = 1/2(B+b)h

Where;

A is the area

h is the height

B is the big base

b is the small base

If; A = 27 ft²

B = 10 ft

b = 8 ft

h = ?

[tex]A= \frac{1}{2} (B+b)h\\\\27= \frac{1}{2} (10+8)h\\\\27*2 = 18h\\\\54 = 18h\\\\h = \frac{54}{18}\\\\ h = 3 \ ft[/tex]

Therefore, the height of the garden will be 3 ft.

The sum of a number and fourteen is less than or equal to three times the number.

Answers

Answer:

x=7

Step-by-step explanation:

x+14=3x

shift x to the other side

14=3x-x

14=2x

2x=14

x=14/2

x=7

Checking:

x+14=3x

7+14=3(7)

21=21

The sum of a number and fourteen is less than or equal to three times the number x + 14 = 3x, x = 7.

Given Information:

The sum of a number and fourteen is less than or equal to three times the number.

Let' consider the number is x, then w get this equation,

x + 14 = 3x

shift x to the other side

14 = 3x - x

14 = 2x

2x = 14

Divide 2 on both side,

x = 14/2

x = 7

For checking this value,

x + 14 = 3x

7 + 14 = 3(7)

21 = 21

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College Alisha is putting cheese cubes and crackers onto small plates. She has 24 cubes of cheese and 40 crackers. She want both cheese and crackers on each plate and each plate must have the same number of cheese cubes and the same number of crackers. What is the greatest number of plates she can make using all the cheese and crackers.

Answers

Answer:

there will be 8 plates each having 3 cubes of Cheese and 5 crackers

Step-by-step explanation:

To determine the greatest number of plates she can make using all the cheese and crackers, find the highest common factor of 24 and 40

24 = 2, 3, 4, 6, 8, 12, 24

40 = 2, 4, 5, 8, 10, 20, 40

Highest common factor of 24 and 40 is 8

24 cubes of cheese / 8 plates = 3 cubes of cheese per plate

40 crackers / 8 plates = 5 crackers per plate

So, there will be 8 plates each having 3 cubes of Cheese and 5 crackers

Un contador determina que el ingreso mensual " I ", en pesos chilenos, que obtiene un relojero con experiencia, por la reparación de un número "x" de relojes, está dado por la función ingreso: I ( x ) = 20.000x - 50x2 ¿Cuál es el ingreso en pesos chilenos de fabricar 15 relojes ? * 1 punto $345.780 $288750 $475.580 Otro:

Answers

Responder:

$ 288750

Explicación paso a paso:

Dados los ingresos mensuales de los pesos chinos expresados ​​como;

I (x) = 20.000x - 50x² donde;

x es el número de relojes reparados.

Para calcular los ingresos obtenidos si se reparan 15 relojes, simplemente sustituiremos x = 15 en la ecuación modelada como se muestra;

Yo (15) = 20.000 (15) - 50 (15) ²

Yo (15) = 300 000-50 (225)

Yo (15) = 300.000-11250

I (15) = $ 288,750

Write an equation of a line that has an undefined slope and goes through the point (9,-5)

Answers

Answer:

x=9

Step-by-step explanation:

a undefined line is a straight line so the y value does not matter sence it goes through all the y values

Answer:

x= 9

Step-by-step explanation:

Slope formula is

m = Δy/Δx

When Δx = 0 the denominator of the fraction is zero, hence it is undefined

So this is a vertical line

A vertical line passing through the point (9, -5) is x= 9

So the answer is x= 9

3/12 + 5/6 Convert the Improper fraction to a mixed number

Answers

it would be 13/12 because you times 6 by 2 so there is a common denominator

Mrs. Lia deposited $4000 at Big Bank. If her money earned 4% simple interest annually. How much interest did she received at the end of 24 months?

Answers

Answer:

320$

Step-by-step explanation:

Since it's 4%
4000 * 0.04 = 160

24 months = 2 years

annually = 1 year

160 * 2 = 320$

Hope this helps!

Answer:

4000*0.04 = 160

24/12=2

160*2 = 320 interste receveid after 24 mounths

4000+320=4320

Step-by-step explanation:

Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths.. Her budget is $85. Describe the constraints.
She can order a maximum of washcloths or bath towels.

Answers

Given:

The total cost of the order is

[tex]T=6b+2w[/tex]

where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.

Her budget is $85.

To find:

The constraints, so that she can order a maximum of washcloths or bath towels.

Solution:

We have,

[tex]T=6b+2w[/tex]

Her budget is $85. So, total cost is less than or equal to 85.

[tex]6b+2w\leq 85[/tex]       ...(i)

For maximum number of bath towels, the number of wash cloths is 0.

[tex]6b+2(0)\leq 85[/tex]

[tex]6b\leq 85[/tex]

Divide both sides by 6.

[tex]b\leq \dfrac{85}{6}[/tex]

[tex]b\leq 14.167[/tex]

For maximum number of wash cloths, the number of bath towels is 0.

[tex]6(0)+2w\leq 85[/tex]

[tex]2w\leq 85[/tex]

Divide both sides by 2.

[tex]w\leq \dfrac{85}{2}[/tex]

[tex]w\leq 42.5[/tex]

Therefore, the required constraints for maximum of washcloths or bath towels are [tex]w\leq 42.5[/tex] and [tex]b\leq 14.167[/tex] respectively.


Add another set of points that are 8 units below points A, B, C, and D. This time, you'll need to rotate the lines into a different orientation. Connect
the points you created to form another polygon that is congruent to ABCD. When you're done, you'll have translated polygon ABCD down by 8
units.
Measure the slopes of the line segments (i.e., construction paths) you created. Record the measurements in the table.

Answers

Yupppppppppppppppppppppppppppppp

Answer:

Lines segments:I         Slope:

AI                        I          Undefined

BJ                        I         Undefined

CK                       I          Undefined

DL                        I          Undefined

Step-by-step explanation: ye

HELP ASP!!!!!!



The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n +3.75; 20
20 is the
th term.

Answers

Answer:

the 13th term, if you plug in 13 for n and solve you would get 20 :)

Answer:

13th term

Step-by-step explanation:

what is the slope of the line that passes through the points (3,5) and (1-5)

Answers

Answer:

the slope is 5

Step-by-step explanation:

what is an right angle and obtuse angle?

Answers

Answer:

Right angle is an angle of 90°

Obtuse angles is an angle greater than 90°

Answer:

A right angle is an angle of 90°

An Obtuse angles is an angle greater than 90°

Show work if there is any please​

Answers

R1 and R2 and also l1 and l2
Parallel means they can never touch/ intercept
Hope this helps!
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