Sam is 4 years younger than Linda. The sum of their ages is 28. Find both Sam and Linda’s age and show your work.

Answers

Answer 1

Answer:

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

combine like terms

5x = 28

find for x

x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

Linda is 4 years older so we multiply Sam's age by 4

4 × 5.6 = 22.4

Linda is 22.4 years

now let's round our answers to the nearest whole

5.6 ~ 6 years

22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

the answer is correct


Related Questions

every summand of an expression is called a???

Answers

Answer:

I think it's called a term.

Hope this helps :)

Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x))
a. 3x+3
b. 3-3x
c.-3-3x
d. 2x-3

Answers

Answer:  Choice B.  3 - 3x

Work Shown:

[tex]g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\[/tex]

Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.

The notation [tex]g(f(x))[/tex] is the same as writing [tex](g \circ f)(x)[/tex]

Please help!! I will mark brainliest with full detailed answer!!

Answers

Answer:

Step-by-step explanation:

26. -14

27. -4.732050808

Answer:

26.  (-14)

27.  −4.732050808

Step-by-step explanation:

26.  [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]

Multiplication can be transformed into difference of squares using the rule:

(a − b) (a + b) = a² - b²

[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]

The square of √2 is 2.

[tex]2 - 4^{2}[/tex]

Calculate 4 to the power of 2 and get 16.

2 - 16

Subtract 16 from 2 to get −14.

-14

27.  [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]

Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.

[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]

The square of √3 is 3.

[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]

Combine -3√3 and 2√3 to get -√3.

[tex]3-\sqrt{3} -6[/tex]

Subtract 6 from 3 to get −3.

-3 - √3

-3 - √3 ≈ −4.732050808

The ratio of red cars to blue cars in a parking lot was 9 : 7. If there were 72 red cars, how many blue cars were there?

Answers

Answer:

56

Step-by-step explanation:

We can mark the blue cars as x, so now, we have 9:7, and 72:x, we can use cross multiplication to get the value of x, 72*7 = 9x, which we can simplify into 504 = 9x, and can divide both sides by 9 to get 56 = x.

Hope it helped!

what is the gcf of 8 and 11?

Answers

To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.

With that being said, let's begin.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Simply add 8.

11: 11, 22, 33, 44, 55, 66, 77, 88

Simply add 11.

The greatest common factor of 8 and 11 is 88.

What will be the graph of the circle (x-4)^2+(y+3)^2=16

Answers

Answer:

x + y - 5 = 0

Step-by-step explanation:

(x-4)² + (y+3)² = 16

To remove the square on the left side, we square root both sides

√(x-4)² + √(y+3)² = √16

The square will cancel the square root on the left side, while the square root of 16 is 4

(X-4) + (y+3) = 4

open the brackets

x-4+y+3=4

x + y = 4 + 4 - 3

x + y = 5

x + y - 5 = 0

Pleaseeee Helpppp

Point M is located at 1.2 x 10-6. Plot Point M on the number line below

Answers

Plot point M is then ADDRESS in the next hour of tutorials

If your bill at the Olive Garden was $39.90 and you wanted to leave a 22% tip, how much tip would you leave? (round to the nearest hundredth)

Answers

Answer:

22

Step-by-step explanation:

it's 22 percent I don't get how do u need help

PLZZZ ASAPPPP

A youth group wenton trip to EXPO Dubai Travelling in two Vans. The number of people in each van and the total cost of admission are shown in the table.Find the adult price and student price of admission(Not Exact charges)

Answers

Refer to the attachment

A = Adult B = Student

Soo :

2a + 3b = 325

2a + 7b = 505 -

-4b = -180

4b = 180

b = 45

[tex] \: [/tex]

2a + 3b = 325

2a + 3(45) = 325

2a + 135 = 325

2a = 325 - 135

2a = 190

a = 95

Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2

Answers

Answer:

0.11<0.12<0.2<0.3

Step-by-step explanation:

Answer:

0.11, 0.12, 0.2, 0.3

Step-by-step explanation:

pls brainliesttt

Answer correctly and get brainless and 20 points

Answers

Answer:

D. x = 12.4

Step-by-step explanation:

A. (2.4) - 5 = 7.4

-2.6 = 7.4

B. (6.9) - 5 = 7.4

1.9 = 7.4

C. (7.9) - 5 = 7.4

2.9 = 7.4

D. (12.4) - 5 = 7.4

7.4 = 7.4

8

After a reflection over the line y=-2, which direction will the arrow be facing?

Down

Right

Up

Left

Answers

down because it will be positive two now.

Victor borrowed $18.50 from his mother to go to the theater. A week later, he paid her $18.50 back. How much does he still owe her? He owes her $

Answers

Answer:

0

Step-by-step explanation:

Evaluate 1/5 of 175 please

Answers

Answer:

35

Step-by-step explanation:

1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.

[tex]\frac{1}{5}*175[/tex] [tex]\frac{175}{5}}[/tex] [tex]35[/tex]

Therefore, the answer is 35.

help me please

A


B


C


D


E

F

Answers

Answer:

F because you cannot prove that any of the angles are the same with only one set of parallel lines

by what i have learned in math my 4 years this is e

Answer number 11 to see if your smarter than my students

Answers

the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+

what is the simplest form 2 sqrt 3 / sqrt 6

Answers

howdy the answer is A

sqrt 2

Using the area model divide, true or false, 79/7 is equal to 11 R 1.

Answers

Area models are used to evaluate products and divisions

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

The division equation is given as:

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]

Express 79 as 77 + 2

[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]

Split the expression on the left-hand side

[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]

Divide 77 by 7

[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]

2 divided by 7 is 0 with a remainder of 2

So, we have:

[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]

The equations above are not equal.

This is represented as:

[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]

Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

Read more about area models at:

https://brainly.com/question/18701102

the fiah population in crystal lake increased thisnyear by 30% last year population in crystal land was 3,500 how many fish are jn the lake this year​

Answers

Answer:

The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan

Step-by-step explanation:

name the coefficent 5x+10

Answers

Answer:

Coefficient is 5

Step-by-step explanation:

Coefficient means a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

Hope this is helpful.

If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y

4
x
)

Answers

20+3(3y-4x)

if x=4 y=6

20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26

answer: 26.

In AFGH, GH = FG and mZF = 10°. Find mZH.

Answers

Answer:

f(x)= 40x

Step-by-step explanation:

Hope this helps, have a nice day/night! :D

x+4x=
Какой ответ пожалуйста помогите x+4x= это задача

Answers

Step-by-step explanation:

5x

Добро пожаловать


Kameron has (4x + 10) toy cars. His
best friend Joey has (-5x + 20) toy
cars. How many more toy cars does
Kameron have than Joey has?

Answers

Answer:

9x-10

Step-by-step explanation:

(4x+10) - (-5x+20)

Open the brackets

4x+10+5x-20

Collect like terms

4x+5x+10-20

9x-10

Please help me I don’t know how to solve this

|5z+1| >14

Answers

Solve for is z>13/5 (52/6 *62736) ignore that it wouldn’t let me answer

the average attendance at a club fell by 7% in 2015. if 2030 fewer people, how many went in 2014?​

Answers

Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015

Step-by-step explanation:

Adnan drives 16.5 miles in 10 minutes. He passes a sign which gives the speed limit as 70 mph. By how much, in mph, did Adnan's average speed exceed the speed limit?​

Answers

Answer:  29 mph

=========================================================

Explanation:

10 minutes = 10/60 = 1/6 of an hour

Divide the distance over the time duration to find his speed

speed = distance/time

speed = (16.5 miles)/( 1/6 hr )

speed = 16.5*(6/1) mph

speed = 99 mph

Then subtract off the speed limit posted by the sign.

99 - 70 = 29 mph

Adnan is 29 mph over the speed limit.

Answer: 29 miles/hour (mph)

Step-by-step explanation:

10 minutes is 0.16667 hour (hr).

16.5 miles/0.16667 hr = 99 mph

99 - 70 = 29 mph

PLEASE HELP FOR BRAINLIEST

Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2

Answers

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's Simply ~

[tex]7x + 3(x - 2) - 4x + 8[/tex]

[tex]7x + 3x - 6 - 4x + 8[/tex]

[tex]7x + 3x - 4x - 6 + 8[/tex]

[tex]6x + 2[/tex]

Therefore, the correct choice is ~ A

X + 3 - 3=-6 show all work

Answers

Answer:

x = -6

Step-by-step explanation:

[tex]x+3-3=-6~(Given)\\x=-6~(Combine~like~terms)[/tex]

Use the information given to enter an equation in standard form. (6, 10) and (5, 7) are on the line.

Answers

Answer:

y=3x - 8

Step-by-step explanation:

first find slope

10 - 7/6 - 5 = 3

Point - slope

y = 3(x-6)+10

Simplify

y = 3x-18+10

y=3x - 8

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