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

Please can I have help on this?

Answers

Answer:

9 :)

Step-by-step explanation:its 9

-3(u+4)-2u=2(u+1)
a) no solution
b) u=
c) All real numbers are solution

Answers

Answer: u = -2

Step-by-step explanation:

-3(u+4)-2u=2(u+1)

-3u-12-2u=2u+2

-5u-12=2u+2

-7u = 14

u = -2

Urgently please it is due today

Answers

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price

Answers

Answer:

$19.25

Step-by-step explanation:

Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75

Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.

An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.

Write 9 2/3 as a inpropper fraction

Answers

29/3

9/1 x3/3 = 27/3
27/3 + 2/3 = 29/3

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8

Answers

Answer:

B, D and E

Step-by-step explanation:

The first triangle inequality theorem states:

the lengths of any two sides of a triangle must add up to more than the length of the third side.

So as long as the sum of the two shortest is greater than the longest side a triangle is possible

А

7 + 9 < 17  NO

B

2 + 7 > 8   YES

C

1 + 3 < 5   NO

D

3 + 5 > 6   YES

E

12 + 12 > 13  YES

F

3 + 8 = 11    NO

What are the terms in the following expression? Choose all that apply.

c + 4a + 2b + 7

Answers

Answer:

C, 4a, 2b and 7

Step-by-step explanation:

f(1) = 4
f(x) = f(x-1) + 3
Find f(2)

Answers

f(2)= f(2-1)+3

f(2)=f(1)+3

[ READ ATTACHMENTS ] !!! [ HELP ME ASAP PLEASE!! ]

A.) $4,000

B.) $5,100

C.) $4,100

D.) $3,900

Answers

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....

Answers

Answer:

A: 720 miles

Step-by-step explanation:

Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2

1 hour he will have driven 60 miles

Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours

Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.

Answers

Answer:

£30000

Step-by-step explanation:

I used a couculator

ples help meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

po 989r9  vcmc cohol,j

Step-by-step explanation:

Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2

Answers

Answer:

2^2 + i^2  or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.  

Solve the system of linear equations by elimination.

3x−30=y
7y−6=3x

























Solve the system of linear equations by elimination.

3x−30=y
7y−6=3x

Answers

Hey! Hopefully this helped :)

Answer this -
also can you answer faster kid?

Answers

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)

We know that the angles opposite to equal sides of a triangle are equal.

AB = AC B = C

Now, Side BA of Triangle ABC has been produced to D.

∴ ∠CAD = B + C (Exterior angle = sum of int. opp. angles)

3x - 10 = 25 + x + 15

3x - 10 = 40 + x

3x - x = 40 + 10

2x = 50

x = 50/2

x = 25

∴ The value of 'x' in the given figure is 25!

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV

Answers

Answer:

III

Step-by-step explanation:

go 14 left and 5 down, and you're in the third quadrant

Answer:

III (Third quadrant)

Step-by-step explanation:

Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant.  Hope this helps! :)

93 is what percent of 300

Answers

[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]

[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]

[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]

[tex]\sf \longmapsto \: 31\%[/tex]

20 decreased by the product of 5 and a number x

Answers

20 - 5x should be correct

miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following​

Answers

Answer:

x = -10 or 2

Step-by-step explanation:

In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?

Answers

Answer:

34 boys

Step-by-step explanation:

you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34

if a ll b and line c is perpendicular to line a then line b and c are?​

Answers

Answer:

perpendicular

Step-by-step explanation:

Answer:

Perpendicular

Find the slope of the line that passes through (7, 1) and (2, 3).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Slope formula: (y2-y1)/(x2-x1)
Plug in the values
(3-1)/(2-7) = 2/-5 = -2/5

The slope is -2/5

Answer:

-2/5

Step-by-step explanation:

slope equation is as follows -

(y1-y2)/(x1-x2)

now we just put (7,1) and (2,3) into the formula

(1-3)/(7-2)

-2/5

Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?

Answers

Answer:

$382.5

Step-by-step explanation:

First get the 4.25% of $3000. then multiply it by 3-representing 3 years.

hope it can help you lovelots

sales tax is 7% what is the amount of sales tax you would pay this bill​

Answers

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

If f(x)=X^2+1, g(x)=9x_1

Answers

Answer:

I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)

Step-by-step explanation:

solve by factoring x^2+5-14=0

Answers

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

6)$$;6?6?6?6gvhxhtfi

answer and please show work.​

Answers

For the equation y=3x−5 , the slope is 3 and the y-intercept is −5 .

Slope is equal to the change in y over the change of x, or rise over run.m=change in y / change in x

The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m= y2-y1/x2-x1.
Substitute in the values of x and y into the equation to find the slope.
m =-4 -(7)/ -6 -(-4)

Simplify.

m=11/2.

PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.

When graphed, all of the points in the table lie on the same line.

Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?

Question 1 options:

Slope = 2, y-Intercept = -4


Slope = -2, y-Intercept = -4


Slope = 1, y-Intercept = 2


Slope = -1, y-Intercept = 2

Answers

Answer:

Y-Intercept would be 2, Slope would be 1

Step-by-step explanation:

Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.​

Answers

Answer:

its 19 ur welcome byeeee

Step-by-step explanation:

the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area

Answers

Answer:

perimeter =20cmbreadth=2cmlength=?

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

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