William says that 15 years from now, his age will be 3 times his age 5 years ago. if x represents William's present age, what equation represents his claim? What is Willaim's current age?

Answers

Answer 1

Answer:

x + 15 = 3 (x - 5)

William’s current age: 15. Years old

Step-by-step explanation:

x + 15 = 3(x-5)

x + 15 = 3x - 15

15 + 15 = 3x - x

30 = 2x

x = 15


Related Questions

Solve this one following the linear equations beow agebricaly.Express your answer in simplest form.3(6x-4)=24

Answers

Divide 3 by both sides
6x-4=8
Add 4 on both sides
6x=12
divide 12 by 6
Answer: x=2
3(6x-4)=24
Expand:
3(6x)=18x
3(-4)=-12
That gives, 18x-12=24
Subtract 12 from both sides to get 18x=12
x=12/18
Divide the numerator and the denominator by 6 to get:
x=2/3 which is the simplest form.

Hope this helped

A car travels the first 50km of its journey at an average speed of 25m/s and the next 120km at an average speed of 80km /h . The car completes the last part of its journey at an average speed of 90Km/h in 35 minutes . Find the average speed for its entire journey , giving your answer in km/h
Step by step

Answers

Answer:

What do you need me to do

Step-by-step explanation:

A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50

11x + 14y = 84.50

The variable x represents the
.

The variable y represents the
.

The deli charges $

Answers

Answer:

The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

Step-by-step explanation:

Let the cost of 1 pound of meat be x

Let the cost of 1 pound of cheese be y

Cost of 4 pounds of meat = 4x

Cost of 5 pounds of cheese = 5y

Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.  

So, equation becomes :

Cost of 11 pounds of meat = 11x

Cost of 14 pounds of cheese = 14y

Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.

So, equation becomes :

Thus the system of equations are :

-1   (Red line)

-2   (Black line)

Solving these equations graphically we get the solution

x = $4.5

y = $2.5

Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

PLEASE HELP THIS IS GOING TO BE MY FIRST GRADE!!!!!!

Answers

The rate of change is 3/4.

Explanation:

The rise is 3 and the run is 4.

The slope, or rate of change, is rise/run.

Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°


find m<QRS, m<PQS, m<RPS and m<PSQ​

Answers

The shape PQRS is a parallelogram

The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degrees

The given parameters are:

[tex]\mathbf{\angle PQR = 106}[/tex]

[tex]\mathbf{\angle QSR = 49}[/tex]

[tex]\mathbf{\angle PRS = 35}[/tex]

(a) Find QRS

This is calculated as:

[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]

So, we have:

[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]

[tex]\mathbf{\angle QRS = 70}[/tex]

Hence, the measure of angle QRS is 70 degrees

(b) Find PQS

This is calculated as:

[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]

So, we have:

[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]

[tex]\mathbf{\angle PQS = 53}[/tex]

Hence, the measure of angle PQS is 53 degrees

(c) Find RPS

This is calculated as:

[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]

Where:

[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]

So, we have:

[tex]\mathbf{\angle RPS = 35}[/tex]

Hence, the measure of angle RPS is 35 degrees

(d) Find PSQ

This is calculated as:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]

Where:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]

So, we have:

[tex]\mathbf{\angle PSQ =53}[/tex]

Hence, the measure of angle PSQ is 53 degrees

Read more about angles in a parallelogram at:

https://brainly.com/question/12186483

is 5(1/5^3) = 5(5^3)

Answers

Answer:

5(1/5^3) ≠ 5(5^3)

Step-by-step explanation:

5(1/5^3) = 5(5^3)

5/27 = 625

5(1/5^3) ≠ 5(5^3)

The sides aren't equal, so this equation is FALSE.

Answer:

Step-by-step explanation:

Short answer: No they are not the same.

5 * 1/5^3 = 1/5^2. One of the 5s in the denominator cancels out.

5^1 * 5^3 = 5^(1 + 3) = 5^4. Nothing cancels here. The powers add.

Pleasehelp!!!!!!!!!! I'll mark Brainliest!!!!!!!!!!!!!!!!
Explain if possible!

A physicist working in a large laboratory has found that light particles traveling in a particle accelerator increase velocity in a manner that can be described by the linear function -4x+y=15, where x is time and y is velocity ion kilometers per hour. Use this function to determine when a certain particle will reach 30 km/hr.

Answers

Answer:

it will take the certain particle 15/4 (unit of time) to reach 30 km/hr

Input 30 as for y and solve the equation.

Step-by-step explanation:

Since y is kilometers per hour and the question is asking for how long it takes for a certain particle to reach 30 km/hr, you input 30 for y and solve for x.

-4x + y = 15

-4x + (30) = 15

subtract 30 from both sides

-4x = -15

divide -4 from both sides

x = 15/4

it will take the certain particle 15/4 (unit of time) to reach 30 km/hr

Please help meeeee how do you reflect this?????

Answers

Answer:4 units down and 2 units right if I’m wrong I’m sry

Step-by-step explanation:

Answer:

Please I can't see the question well

2
What is the value of f(x) = 23.22 + 2.5 at x = -4.22
=

Answers

Answer:

yo download Gauth math it gives u the answer instantly

Graham drove 42 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour? Use pencil and paper. Describe a situation in which the unit rate would be easier to work with than the given rate.​

Answers

Answer:

Step-by-step explanation:

42+(1/3)

42*(3/3)+(1/3)

(126/3) + 1/3

126/3 + 1/3 = 127/3 miles

4/3 hours

(127/3)/4/3)

(127/3)*(3/4)

= 127/4 or 31.75 miles/hour

It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).

HELP ASAP 100 POINTS!
Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4, 3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)

Answers

Step-by-step explanation:

If in any set, you can find 2 or more points that lie on the same vertical,

then it is NOT a function, that is, the same value of x yields 2 or more different

values of y, you don't have a function.

e.g. D is definitely not a function. You have (-2,4) and (-2,-4) , the same x of -2 giving you a y value of 4 and -4.

maths giving 10 point asap 1 question only​

Answers

Answer:

Price of shirt=RM9.8

Step-by-step explanation:

Shirt=x Trouser=y

x+y=RM20

5x+y=RM59.20

y=20-x

5x+20-x=59.20

4x=39.20

x=9.8

y=20-9.8

y=10.2

if you need 3/4 cups of beans for 7 servings. How many do you need if you want to make 35 servings

Answers

Answer:

3 3/4 cups

Step-by-step explanation:

We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for 35 servings. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:

[tex]\frac{\frac{3}{4} }{7} = \frac{x}{35}[/tex]

Notice that we can multiply 5 by 3/4 to find the value of x.

So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.

Hopefully this was helpful! If you have any more questions, let me know.

2(x + 4) – 3(x – 6) + 5(x + 1) Simplified completely.

Answers

Answer:

4x+31

Step-by-step explanation:

2(x + 4) – 3(x – 6) + 5(x + 1)

Distribute

2x+8 -3x+18 +5x +5

Combine like terms

2x-3x+5x  +8+18+5

4x+31

what is the answer?
can someone help me with this?

Answers

Answer:

181.58 pics per month

Step-by-step explanation:

divide 1150 by 6.33

1150/6.33=181.58

If it is 7:00 AM at letter F, what time is it at letter A?
5:00 AM
5:00 PM
4:00 AM
4:00 PM

Answers

Answer:

The aswer is 1:00 AM to 1:00 PM.

Step-by-step explanation:

Brainlest Evaluate (-2-2-1/2)³​

Answers

Decimal form -91.125

Exact form -729/8

Answer:

[tex]\sf\longmapsto \: \frac{ - 792}{8} [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: (−4− \frac{1}{2} ) {}^{3} [/tex]

[tex]\sf\longmapsto \: (− \frac{9}{2} ) {}^{3} [/tex]

[tex]\sf\longmapsto \: \frac{ - 729}{8} [/tex]

[tex]\sf\longmapsto \: Decimal: -91.125[/tex]

(8gh)^2 Simplify the expression.

Answers

the simplified expression would be

64g^2h^2

Realiza los siguientes problemas de Tanto Por Ciento.

1. Se desplaza un camión consumiendo el 60% de su combustible, si el tanque
lleno tiene 45 litros de gasolina ¿Cuántos litros ha consumido?


2. En un gimnasio una persona se pesa y tiene 78 kilogramos de peso, si el peso ideal (100%) para una persona de su edad es de 62 kilogramos ¿Cuales el porcentaje de peso que tiene la persona?

3. Un cohete lunar ha consumido el 20% de su tiempo de vida útil, el cual es de 15 años (100%) ¿Cuânto tiempo de vida útil ha consumido el cohete lunar?

4. El volcán de Pacaya incremento su altitud en 25 metros en su ultima erupción de ceniza, si el volcán mide 2,552 metro ¿Qué porcentaje de altura incremento?

5. Beni tiene el 40% de la edad de su hermano Aarón que tiene 24 años ¿Que edad tiene Beni?

Answers

Answer:

1. 27 liters

2. 125.8%

3. 3 years

4. 0.98%

5. 9.6 years

Step-by-step explanation:

1. (60%)(45) = 27 liters

2. Percentage of weight relative to ideal weight = (100%)(78/62) = 125.8%, rounded to nearest 10th of a percent.

3. (20%)(15) = 3 years

4. Assume that the beginning height is 2552 meters and the height increases 25 meters.  Then, the percentage increase = (100%)(25/2552) = 0.98%, rounded to the nearest 100th of a percent.

5. Beni's age = (40%)(24) = 9.6 years

Lin rode her bike 1 mile in 4 minutes, 2 miles in 8 minutes. Every 1 minute she rode how many miles?

Answers

Answer: [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

4 minutes in 1 mile

so 1 minute in [tex]\frac{1}{4}[/tex] mile

please give me a brainliest answer

A store is having a sale where all shoes are discounted by 25%. Diego has a coupon for $2 off of the regular price for one pair of shoes. The store first applies the coupon and then takes 25% off of the reduced price. If Diego pays $24.38 for a pair of shoes, what was the original price before the sale and without the coupon?



H e l p

Answers

Answer:

28.47

Step-by-step explanation:

Find the measure of the angles(S)

Please help

Answers

Answer:

10°

Step-by-step explanation:

the sum of interior angles of triangle is 180°

so. 8x+x+90°=180°

9x=90°

x=10°

a standard deck of 52 playing cards is placed facedown on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value

Answers

14 I think

I there’s 13 cards of 4 suits. you get as lucky as you can and on the low chance you draw all 13 different cards. The 14th card would HAVE to pair.

The required number of picks that will be made for the same value is 26.

Given that,
A standard deck of 52 playing cards is placed face down on a table how many cards must you draw from the deck to be certain that you will have a pair of the same value is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
A card deck consists of 52 cards, and the deck has 4 number of cards of the same number but different families, which implies the number of 4 equivalents cards in the deck is 13 (Since 52 / 4).
According to the question number of the pair is to be determined that has the same value,
Total number of pairs = 2 * 13 = 26

Thus, the required number of picks that will be made for the same value is 26.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

WILL GIVE BRAINLIEST!!

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer:

Simple springs obey Hooke's Law. Hooke's Law states that the force on a spring is proportional to it's displacement from it's resting length:

F = -k*x

Where F is the force, x is how far the string is stretched or compressed, and k is a proportionality constant called the spring constant. The negative sign is because the spring resists stretching.

In this case, we can solve for k using the first case:

(100N) = -k * (5cm)

k = ???

And plug that answer in to find x in the second case:

(360N) = -k * x

    This is a "Hooke's Law" problem: the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed.  You can figure solve it by setting up a proportion equation and then using the algebraic tool of cross multiplication to solve for the unkown "stretch".

1) set up the proportion equation

100  =  360

5           x

2) cross multiply to get a linear equation

100x = 5*360

3) solve for x

 100x = 1800

       x = 18

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Answer:

The law: F=kx

Therefore,

180N = k * 5cm

k = 180÷5= 36N per cm

Using the known constant with the law,

270=36*x

x= 270 ÷ 36 = 7.5cm

There are 180 people registered to attend a conference. In order to seat all of the attendees, rows of 12 chairs are set up in the conference room. How many rows need to be set up in order to seat all the attendees with no extra chairs?

Answers

Answer:

15 rows

Step-by-step explanation:

180 divided by 12 is 15.

Complete the equation of the line through (4,-8)(4,−8)
Use exact numbers.


Y=____+_____

Answers

Answer: y = 4x-8

Step-by-step explanation:

(4,-8)

(x,y)

36.05 rounded off to the nearest tens place

Answers

Answer:

36.1

Step-by-step explanation:

if the 100s place is 5 or above add 1 to the tens place. if it's 5 or below the tens will stay the same.

rewrite the fraction 1/6 as a division expression with the same numbers.

Answers

Answer:

1 ÷ 6

Step-by-step explanation:

1/6 is the same as 1 ÷ 6

In the same way, 2/3 would be 2 ÷ 3

Hope this helps!

i am a 2 digit number i am a less than 8+8 i am more than 6+6 i am even who am i?​

Answers

Answer:

14

Step-by-step explanation:

16-12                      

even: 12 14 16

You are 14!

8+8=16 and we are given that you are less than 16.

6+6=12 and we are given that you are more than 12.

So the number can be 13, 14, 15.

We are also given that the number is even.

And the only even number here is 14. And 14 has 2 digits.

Hope this helps!

~Just a joyful teen

[tex]-GraceRosalia[/tex]

I need help, I'm stuck​

Answers

1: 12 * [tex]10^{9}[/tex]

         We can easily tell this is the answer here as 12 is larger than 4. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

2: 3 * [tex]10^{12}[/tex]

         Same here, we can easily tell this is the answer here as 3 is larger than 1.5. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

3: 6 * [tex]10^{5}[/tex]

         This one is slightly more complicated than the other two, but still not to difficult when you know what you're doing.

          A tip: 10 to the fourth power ([tex]10^{4}[/tex]) is 10,000. Aka, a 1 with four zeros!

For the first one, 20 has a zero, so we can take it and put it onto the 10th power. We know have:

2 * [tex]10^{5}[/tex] and 6 * [tex]10^{5}[/tex]

         Using the same method as #1 and #2, we can tell that 6 * [tex]10^{5}[/tex]  is the answer here!

I hope this helps, have a nice day :D

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