Solve. Use the strategy "work backward."

Larissa said, "If you multiply my age by 3, subtract 6 from the product, then divide the difference by 5, the result is 9." What is Larissa"s age?

Answers

Answer 1

Let that be x

ATQ

[tex]\\ \rm\Rrightarrow 3x-6/5=9[/tex]

Arrange accordingly to work backwards(Every thing is reversed)

[tex]\\ \rm\Rrightarrow 9(5)+6/3=x[/tex]

[tex]\\ \rm\Rrightarrow 45+6/3=x[/tex]

[tex]\\ \rm\Rrightarrow 51/3=x[/tex]

[tex]\\ \rm\Rrightarrow x=17[/tex]

.


Related Questions

∠A and \angle B∠B are supplementary angles. If m\angle A=(8x-27)^{\circ}∠A=(8x−27)

and m\angle B=(4x+3)^{\circ}∠B=(4x+3)

, then find the measure of \angle A∠A.
i

Answers

Answer:I don know

Step-by-step explanation:

Yor welcome

At Hippo Burger, Ava and Mia's meal cost $25.60. They left a 20% tip. how much tip did they leave? whats the total?

Answers

Answer:

5.12$

Step-by-step explanation:

I know this because when your dealing with 20% think of it like 1/5.

Know 1/5 of 25.60 is 5.12 how I can calculate this is by timesing 5.12 by 5.

Here is what is would look like.

5.12 x 1=5.12$

5.12 x 2=10.24$

5.12 x 3=15.36$

5.12 x 4=20.48$

5.12 x 5=25.60$

And there's your answer(the last one by the way:))

If you want another example based upon 1/5 and 20% then say they were

30 cows and 30 horses 1/5 of them or 20% of them are sitting how many are sitting.

And since it is 1/5 what times 5 would=60 ?

It would be 12 so 20% of 60 is 12, do you understand what I am saying.

Hope this helps have a great day:)

In the adjoining figure curved surface area and length of side of equilateral triangle are 1080cm ^ 2 and 12cm. Find the height of triangular prism.

no-one can do this! if you can ,,do it ,,​

Answers

Perimeter of base=12(3)=36cmHeight be h

[tex]\\ \rm\rightarrowtail 36h=1080[/tex]

[tex]\\ \rm\rightarrowtail h=1080/36[/tex]

[tex]\\ \rm\rightarrowtail h=30cm[/tex]

Given: CSA⇢ 1080cm²Length of side⇢ 12cmTo find:⇢Height of triangular prismSolution:

we know that,

CSA of a Triangular prism

CSA⇢ perimeter of base x height

1080cm²⇢12+12+12 x height

1080cm²⇢36cm x height

height⇢ 1080cm²/ 36cm

height ⇢ 30cm

Hence ,the height of the given triangular prism would be 30cm

The pyramid below has a square base. Work out the volume of the pyramid

Answers

Answer:

17.2 x 17.2 =area of base. ( B x H) = 295.84

295.84 x 24.4 (perpendicular height) = 7218.496

7281.496 x 1/3 ( or divide by three) = 2406.1653

Not sure how many dp you need.

If u get it right I guess brainliest and 100 points and 5 star

Answers

Answer:

Point C

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

The answer is Point C

Step-by-step explanation:

Where they first intersect is point C  A intersection is a point or line common to lines or surfaces that intersect.

Hope this helps mark brainiest please :)

1. An airplane moves at a constant speed of 120 miles per hour for 3 hours. How many miles does it go?

2. A train moves at a constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?

3. A car moves at a constant speed of 50 miles per hour. How many hours does it take the care to go 200 miles?

Answers

Answer:

1. 360 miles

2. 1.5m/m

3. 4 hours

Step-by-step explanation:

1. d (distance) = v (speed) x t (time)

d = 120 x 3

d = 360

2. v = d/t

v = 6/4

v = 1.5

3. t = d/v

t = 200/50

t = 4

Solve 3 x 4/5 pls help me

Answers

The answer to you’re question is 12/5

Answer:

2.5 OR 2 1/2

Step-by-step explanation:

PEMDAS

P: PARENTHESES

E: EXPONENT

M: MULTIPLICATION

D: DIVISION

A: ADD

S: SUBTRACT

3X4 15

12÷5= 2.5

ANSWER:2.5

a rectangular parking lot that is 3 feet longer that is wide has an area of 550 square feet how many feet long is the parking lot?

Answers

Answer:

The parking lot is 25 feet long and 22 feet wide

Step-by-step explanation:

Let's say the rectangle is [tex]x[/tex] feet long. It means it has to be [tex]x+3[/tex] feet wide.

Knowing it's area we can write an equation for the unknown:

[tex]x(x+3) = 550\\x^2+3x-550 = 0\\x= \frac12(-3\pm\sqrt{2209})\\x_1=-25: x_2=22[/tex]

Since we're talking about measures of length, the negative answer is obviously not interesting, so we're left with [tex]x=22[/tex]

I am really bad at math so I need help

Answers

Answer:

What are we supposed to find

When the polynomial p(x) = x^3+ ax^2+ bx+ 3 is divided by x+3, the remainder is 9.
a. Given that p(1) = 1. find a and b
b. Find the remainder when p(x) is divided by x-4

Answers

Answer:

a = 3, b = 8

Step-by-step explanation:

Since x+3 is a factor, x=-3 is a root. =>  f(−3)=2(−3)3+a(−3)2−b(−3)+3=0

=>  9a+3b=51   =>  3a+b=17 — (1)

x-2 leaves a reminder of 15 =>  f(2)=2(2)3+a(2)2−b(2)+3=15

=>4a−2b=−4=>2a−b=−2 —- (2)

Adding (1) & (2),  5a=15=>a=3

Substituting the value of a in (1),  b=8

Determine the type of fee that will be charged in each situation. Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade. Reggie’s broker charged him a front-end load of 2. 75% when he purchased a fund. John’s broker provided him with stock-trading software to manage his trading. Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year. Joanne’s brokerage firm charged her for providing investment information

Answers

Answer:

Transaction Fee

- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-Transaction Fee

- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

- John’s broker provided him with stock-trading software to manage his trading.

Step-by-step explanation:

Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?

Answers

Answer:

564 patrons.

Step-by-step explanation:

20,304/36 = 564

A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3. 14 for π and round to the nearest hundredth.

Answers

The radius of the cylinder will be  [tex]r=2.25ft[/tex]

What will be the radius of the cylinder?

It is given that

[tex]Volume of the cylinder = 400 ft^{3}[/tex]

[tex]height of the cylinder= 25 ft^{3}[/tex]

Now we know that

[tex]Volume of the cylinder = \pi r^{2} h[/tex]

putting values in the formula

[tex]400= \pi \times r^{2} \times25[/tex]

[tex]r= \dfrac{4}{\sqrt{3.14} }[/tex]

[tex]r=2.25 ft[/tex]

Thus the radius of the cylinder will be  [tex]r=2.25ft[/tex]

To learn more about the Volume of the cylinder follow

https://brainly.com/question/9554871

A farm lets you pick 3 pints of raspberries for $12.00.
A. what is the cost per pint?
B. How many pints do u get per dollar
C. At this rate how many pints can you afford for 20.00
D. At this rate how much will 8 pints raspberries cost

Answers

A- $4 per pint
B- 1/4 pint per $1
C- 5 pints
D- $32

General Sherman led his army 425 miles in 50 days. Calculate the rate his army traveled in miles per day.

Answers

8.5 miles per day

425/50 = 8.5

Answer:

8.5 miles per day

Step-by-step explanation:

divide 425 by 50 and boom u got the answer

I need help with this question please.

Answers

Answer:

the second one

Step-by-step explanation:

It’s the first one or the middle one

What was the difference in profits between the two companies for the year 2000?

Profits

Dollars

70,000

60,000

50. 000

40,000

30,000

20,000

10. 000

Key

Company A

• Company B

0

2000

2001

2002

2003

2004

2005

2006

2007

Year


Pick one of these

$70,000

$10,000

$60,000

$80,000

Please please help me please please help me

Will give brainly

Answers

Answer:

10,000

Step-by-step explanation:

I think it is the right answer

Answer:

60,000

Step-by-step explanation:

HELP I NEED THIS BY 9:30
Angel is 3 years younger than seven times Nancyś age. If Angel is 25, how old is Nancy?

Answers

Answer: Look at description please

Step-by-step explanation:

Nancy would be 4 years old

Make the equation

7n-3=25

add 3 to both sides

7n=28

n = 4

Therefore making Nancy 4 years old.

*Let me know if I am worng*

Hope this helps :)

Angel is 3 years younger than seven times Nancyś age and if Angel is 25 then Nancy is 4 years old.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Angel is 3 years younger than seven times Nancyś age.

Let N be Nancy's age.

We know that Angel's age is 7N - 3.

We also know that Angel is 25.

So we can set up the equation: 7N - 3 = 25.

7N-3=25

Add 3 on both sides to isolate N

7N=28

Divide both sides by 7

N=4

Hence, if  Angel is 25 then Nancy is 4 years old.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

What is the value of the 24th term is the fourth term is 6 and the eighth term is 8
A. 24
B. 16
C. 8
D. 4.5

Answers

The value of the 24th term is 16.

Arithmetic progression:aₙ = a + (n -  1)d

where

a = first term

d = common difference

n = number of terms

Therefore,

6 = a + 3d

8 = a + 7d

let's find a and d

2 = 4d

d = 2 / 4

d = 1 / 2

6 = a + 3 / 2

a = 6 - 3 /2

a = 4.5

Therefore, the 24th term can be found as follows;

24th term = 4.5 + 23(0.5)

24th term = 4.5 + 11.5

24th term = 16

learn more on arithmetic progression here; https://brainly.com/question/9882454

what does y = x - 20 tell you about the relationship between x and y?

Answers

Answer:

LINEAR

Step-by-step explanation:

y depends on x.  x is considered to be the independent variable.

the relationship is LINEAR

Can someone help me with this please???

Brainlyest if you help me lol

The mass of a freight train is 9.98 • 106 kilograms. The mass of an aircraft carrier is 7.3 • 107 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)

Answers

Expand the mass of each:

Freight train: 9.98 x 10^6 = 9,980,000 kg


Aircraft carrier: 7.3x10^7 = 73,000,000 kg


Now subtract:

73,000,000 - 9,980,000 = 63,020,000 kg

Convert to scientific notation: 6.302 x 10^7 kg

Find the length of WY

Answers

Answer:

WY = 180

Step-by-step explanation:

the diagonals of an isosceles trapezoid are congruent , so

ZX = WY , that is

8y - 4 = 7y + 19 ( subtract 7y from both sides )

y - 4 = 19 ( add 4 to both sides )

y = 23

Then

WY = 7y + 19 = 7(23) + 19 = 161 + 19 = 180

Mrs.Burns purchased 12 ears of corn for $5.76.What is the price per eat of corn?

Answers

Answer:

$0.48 or 48 cents

Step-by-step explanation:

12 ears of corn = $5.76

1 ears of corn = $5.76 ÷ 12 = $0.48

find the slope between (6,10) and (4,-2)

Answers

Answer:

6

Step-by-step explanation:

y2 - x1 / x2 - x1

10 - (-2) / 6 - 4

10 + 2 / 2

12 / 2

6

Solve the inequality and graph the solution on the line provided.
3 + 2x > 5

Answers

Answer:

x>1

Step-by-step explanation:

In order to do this, we can take the inequality:

3+2x>5

now there are constants on both sides meaning we can combine them like the following:

3+2x>5

-3      -3

------------

2x>2

Now we can simplify

2x/2>2/2

therefore, the answer is x>1

In order to graph this on a line you would need to put in a circle which is not filled in because x isn't equal to and greater than 1 so we put in a blank circle and since x is always going to be greater than 1, we would put a line that keeps going on.

You would put this line to the right of 1

o----------->

1 2 3 4 5 6

that is how the line would look like

Carrot is 5 in his but every minute gangs a inch how big would it be in 10 minutes

Answers

15 inches.

Step-by-step explanation:

If the angle of elevation of the sun is 63° and the flagpole casts 27-foot shadow, how tall is the flagpole?

Answers

Answer:

Step-by-step explanation:

To help you solve

Use the fact that (height of flagpole)/(length of shadow) = tan(angle of elevation).

A farmer sells 8.9 kilograms of pears and apples at the farmer's market.
3
4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples

pears = 8.9 - 3.56 = 5.34 kilos

Step-by-step explanation:

I asked my teacher and she said it was correct.

Josie is looking for a new part time job as a painter. She responds to a classified ad for a position that pays 38.2K. What would her weekly salary be to the nearest cent if she gets this job? Show work

Answers

Fairly simple if it’s 38.2k per year
You would just divide by how many weeks there are in a year so 52
Then round
38.2k/52
734.615385
Answer:735

Answer:

73461.53 Cents

Step-by-step explanation:

There are 52 weeks/yr

1k = 100,000 cents

Salary/week:

[tex] \frac{38.2}{52} \times 100000[/tex]

= 0.7346153 x 100000

Salary/Week = 73461.53 Cents

solve the equation 3y/2 - 4 > 4/5 + 7y/10.

Answers

Answer:

y>6

Step-by-step explanation:

^^

Answer:

y > 6

Step-by-step explanation:

3 x [tex]\frac{y}{2}[/tex] - 4 > [tex]\frac{4}{5}[/tex] + 7 x [tex]\frac{y}{10}[/tex]

---

Subtract 7 [tex]\frac{y}{10}[/tex] from both sides

3 x [tex]\frac{y}{2}[/tex] - 4 - 7 x [tex]\frac{y}{10}[/tex] - 7 x [tex]\frac{y}{10}[/tex] (simplify) -> [tex]\frac{4y}{5}[/tex] - 4 > [tex]\frac{4}{5}[/tex]

Add 4 to both sides

[tex]\frac{4y}{5}[/tex] - 4 + 4 > [tex]\frac{4}{5}[/tex] + 4 (simplify) -> [tex]\frac{4y}{5}[/tex] > [tex]\frac{24}{5}[/tex]

Mulitply both sides by 5

[tex]\frac{5x4y}{5}[/tex] > [tex]\frac{24 x 5}{5}[/tex] (simplify) -> 4y >24

Divide both sides by 4

[tex]\frac{4y}{4}[/tex] > [tex]\frac{24}{4}[/tex] (simplify) -> y > 6

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