Peter is x years old and his sister is 5 years older. If the product of their ages is 84, form an equation in x and solve it to find peter's age

Answers

Answer 1

Answer:

x^2 + 5x - 84 = 0

x = 7

Step-by-step explanation:

let the sister's age = y

sister's age (y)  = 5 + x  equation 1

xy = 84  equation 2

Make y the subject of the formula in equation 2

y = 84/x

equate equation 1 and 2

84/x = 5 + x  equation 3

Multiply equation 3 by x

84 = 5x + x^2

x^2 + 5x - 84 = 0

tjis can be solved using quadratic equation

x^2 -7x + 12x -84 = 0

x(x + 12) -7(x + 12)

x = 7 or - 12

age cant be negative so his age is 7


Related Questions

Hey guys is this correct?.

Answers

Answer:

Step-by-step explanation:

How many solutions are there to this nonlinear system?

A.Two solutions
B. One solution
C. No solutions

Answers

C because it doesn’t intersect with the parabola
B. One solution

There’s only one spot where both lines meet to form a common point.

answer dis or somethinggg

Answers

Answer:

ok just did now give be brainlyest

Step-by-step explanation:

Answer:

ur mom ur mom ur mom ur mom ur mom ur mom ur mom

Step-by-step explanation:

please help tysm ! Giving brainliest to best answer

Answers

Step-by-step explanation:

here is your answerrrrrrrrrrr

PLEASE HELP

Square tiles measuring 4 inch on each side will be used to tile a 1-foot by 1-foot area. How many of these tiles are needed?

Answers

Answer:9

Step-by-step explanation:

4 inches fits into 12 inches three times. Three rows multiplied by three columns equals 12.

Hope that helps!

In the figure above, ABCD is a cyclic quadrilateral. What ja the value of x in degrees?

Answers

Answer:

Step-by-step explanation:

Remark

The diagram makes the line AB look like it is tilted a bit to the right. I'm going to assume that isn't right. AB extended is a straight line. ADC is supplementary to the 80o angle.

Solution

<ADC + 80o = 180                   They are on the same straight line

<ADC = 180 - 80                      Subtract 80 from both sides

<ADC = 100o

Opposite angles of a cyclic quadrilatral are supplementary

<ADC + <ABC = 180                Property of cyclic quadrilaterals

100 + <ABC = 180                    Subtract 100 from both sides

<ABC = 80 degrees.

<x + <ABC = 180

<x + 80 = 180

<x = 100 degrees

Discussion

I cannot be sure what the arc at B is equal to. Is the arc = 80 o or is <ABC = 80. And it is unresolvable. My suggestion is that you ask your teacher.

Pleas help grade depends on it

Answers

Answer:

C. 62x+239=672

Step-by-step explanation:

X represents hours , which means 62 miles per hours equals 62x. Since Ed has already traveled 239 miles the opposite would be to add in order to subtract in the equation. 672 would be the equivalent of traveling 672 miles in x hours.

Answer for the math: C

The area of this shape is

Answers

Answer:

Step-by-step explanation:

Answer:

169.4ft^2

Step-by-step explanation:

Area of right triangle= base x height /2

Area of right triangle= 24.2x (7x2) /2

Area of right triangle= 24.2x (14) /2

Area of right triangle= 24.2x (14) /2

Area of right triangle= 169.4ft^2

15 POINTS!!! PLEASE HELP ASAP! WILL MARK BRAINLIST!


Find the missing side of this right
triangle.
Х
6
10
X=
= V[?]
Enter the number that belongs in the green box.

Answers

Answer:

136

Step-by-step explanation:

hyo^2=opp^2+adj^2

x^2=6^2+10^2

x^2=36+100

x^2=136

x=

[tex] \sqrt{136} [/tex]

The person above is correct!!!!!

Rewrite the logarithmic equation: log4x = 5 in exponential form.

Answers

Answer:

4^5=x

x= 1045

Step-by-step explanation:

4 to the power of 5 is 1045:)

Answer:

The base of the log is the same as the base of the exponential form and in our case the base is 4. The value of the exponent is what the log is equal too and in our case it is 5. We already know the base is 4 and we want to raise it to the exponent of 5 so we get

x=45 *five on top*

x=1024

Step-by-step explanation:

The chance of randomly selecting a red marble from a bag is 3/10. What is the probability of not selecting a red marble.

Answers

The correct answer is 7/10

PLEASEEEE HELPPP SOMEONEEE
The number of texts Lee and John received each day for 8 days is shown. Lee's Text messages: (36, 31, 33, 35, 40, 29, 34, 34)
John's Text messages: (20, 15,45,5,23,22, 12, 18)
Lee's mean number of texts per day is 34 and John's mean number of texts per day is 20.
What statement involving MAD (mean absolute deviation) is true?
A. Lee has less variation in the number of text messages per day than John because Lee's MAD of texts per day is less than John's.
B. Lee has less variation in the number of text messages per day than John because Lee's MAD of texts per day is greater than John's.
C. Lee has greater variation in the number of text messages per day than John because Lee's MAD of texts per day is less than John's.
D. Lee has greater variation in the number of text messages per day than John because Lee's MAD of texts per day is greater than
John's

Answers

I think the answer is A

Answer:

a

Step-by-step explanation:

We in the same boat sis

A small box of pens costs $6. A large box of pens costs $8. The table shows the
costs of buying certain numbers of boxes of pens. Which ordered pair represents
the cost of 5 small boxes and 5 large boxes?

Answers

Answer:D.)(30,40)
Explanation: Multiple

help me please

:)


i really need it

Answers

Answer:

3.5 qt or 3 qt and 2c

Step-by-step explanation:

4 cups makes 1 quart

14/4 = 3.5

please help me!!!! pleasseeeee​

Answers

Answer: I'm not to sure, but Khan Academy does a really good job at this. Anything apart of STEM they have a step by step video on.

Step-by-step explanation:


Given the triangle
find the length of side 2 using the Law of Sines.

Answers

After much work and 12 pages of notebook paper the answer is 28

Please answer this question correctly

Answers

Answer: 44

EC is basically EF times 2

Answer: EC=44

Step-by-step explanation:

Can someone please help me

Answers

Answer:

1/6

Step-by-step explanation:

he has 1 chance to roll 6 different numbers

PLEASE ANSWER!!

Carl is filling flower pots with soil. Each flower pot is a cylinder with radius 7in and height 20in. His bag of potting soil contains 12,000 cubic inches of soil. How many flower pots will he be able to COMPLETELY FILL with his one bag of soil?

A: 1 flower pot
B: 2 flower pots
C: 3 flower pots
D: 4 flower pots

Answers

Answer:

3 pots

Step-by-step explanation:

V(cylinder)= π×r²×h=3078.8 cubic inches

12,000 / 3078.8= 3.89

so you can only fill 3 pots

I think it is 3 flower pots! Hope this helps!

1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.

Answers

Answer:

112.3

Step-by-step explanation:

A line with a slope of -5 passes through the point (-3, 1). Write the
equation of the line in slope-intercept form.

Answers

Answer:

1/2

Step-by-step explanation:

write the number in word form .0001

Answers

Answer:

0.0001 in word form is ten thousandth

can you guys help me with this

Answers

Answer:

BD = 3.2.

CD = 2.4.

Step-by-step explanation:

By Pythagoras:

AB^2 = 3^2 + 4^2 = 25

AB = 5.

Triangles ADC and ACB are similar, so

AC / AB = AD / AC

3 / 5 = AD / 3

AD = 3*3/5

AD =  9/5 = 1.8

So BD = 5 - 1.8

= 3.2.

CD^2 = AC^2 - AD^2 (Pythagoras)

CD^2 = 3^2 - 1.8^2 = 5.76

CD = 2.4.

(2N/6N+4) (3N+2/3N-2

Answers

The final answer is N/3N-2.
Do you need all the process?

someone help me i don’t understand this !

Answers

Answer: put it in the calculator with the () and they will give it to you right like you need it

Step-by-step explanation: :)

Answer:

I help you

Step-by-step explanation:

I help you _GUTI_ discord

Need help take your time and thx

Answers

Answer:

if you factor it the answer is (x−5)(x−9)

help me out, thank you !

Answers

Answer: 12.4

Explanation: a ^2 +b^2 = c^2
7^2 + 10.2^2 = c^2
49 + 104.04=c^2
153.04 =c^2
c ≈ 12.37
Round: 12.4

Find the variable in the figure. The diagram is not to scale.
Volume=16π

Answers

r = 2

The volume of a cone can be found using the following equation

[tex]V = r^2\frac{h}{3} \pi[/tex]

After putting in the information that we already know we get

[tex]16\pi = r^2\frac{12}{3} \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2\\[/tex]

For proof's sake, we can try the equation again with the information we know

[tex]V = r^2\frac{h}{3} \pi \\V = 2^2\frac{12}{3} \pi \\V =4(4) \pi \\V = 16\pi[/tex]

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!

Answers

Answer:19

Step-by-step explanation:

7x3=21

21-2=19

Answer:

total of 7 fabric needed but 2 are given so:total fabric minus 2 is; 7 minus 2 is 5 needed

What is the correct angle measure 42° 38° 142° 158°

Answers

Answer:

142°

Step-by-step explanation:

If it's goes from right to left, you read bottom numbers.

if it goes from left to right, you read the top numbers.

Other Questions
When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Which three squares will support this statement? Which of the following is the standard form of (x-7)2 + (y +1)2 = 16? Will give brainliest!!! what is a scale on a map Antoinette Applied for a $6000 loan, which she will start paying back after the interest has accumulated. She had a initial offer for a simple annual interest rate of 6% for three years, but decided to consider other options. Which of the following options of all the crease the interest she pays the most?F. $5500 loan, simple interest, annual rate of 6%, term of three yearsG. $6000 loan, simple interest, annual rate of 5.75%, term of three yearsH. $6000 loan, simple interest, annual rate of 6%, term of 2.8 yearsJ. $5500 loan, compound interest, annual rate of 6%, term of three years Please Help If 19.3% of children and adolescents are obese (14.4M), what is the total number of children and adolescents overall? Please i need help What is the root word for confidence Read the passage from "Zero-Gravity Nutrition.Food scientists think of ways to make food last for long space flights. One solution is to use foods that have been dehydrated. Water has been taken out of them. Think about hot chocolate as an example. Astronauts just add water to it.What is the best way to describe this passage?a)It has one supporting detail and four central ideas.b)It has one central idea and four supporting details.c)It has two central ideas and three supporting details.d)It has no central idea and five supporting details. help plz!!Economists make economic predictions using:A) educated guesses based solely on their opinion.B) data about the economy from the past.C) information only about other nations.D) data about how outside economies allocate their resources.Thanks!! The Seneca Falls Convention of 1848 was crucial in?A) the immediate passage of the Nineteenth Amendment. B) allowing women the right to suffrage in South Carolina. C) causing women's suffrage to be ignored until after World War II. D) elevating the cause of women's rights to an issue of national concern. hii please help asap ill give brainliest thanks PLEASE HELP ME AGAINNN help me im adding and subtracting integers plssss 40 points!!!!!! for itFind each sum.8 + (-1) + (-6) + 5- 2 + 6 + (-3) + (-4)Use a number line to find each difference.7 - 43 - 8- 2 - (-3)- 1 - (-1)- 4 - 381 - 10643 - (-21)- 25 - (-57)17 - 18 - (-81)- 18 - 13 - 1223 - (-18) - (-54)16 - 28 - (-38) Oh, I would never dream of assuming I know all Hogwarts secrets, Igor. Only this morning, for instance, I took a wrong turn on the way to the bathroom and found myself in a beautifully proportioned room I had never seen before, containing a really rather magnificent collection of chamber pots. When I went back to investigate more closely, I discovered that the room had vanished. - Harry Potter Anecdote Finally, explain your answer by pointing out the details from the text that utilize that device. EXPLAIN YOUR ANSWER .. ' ' , , How did the Doolittle Raid affect the Japanese?Please dont start putting links. Think about a financial decision you made regarding the purchase of a big-ticket item or investment within the last five years. Provide a summary on the discussion thread, answering the following questions:What decision did you make?How prepared were you to make the decision?What was your thought process as you were making the decision?What financial information did you need to make the decision and why?What lessons have you learned that you will apply to future financial decisions? PLEASE HELP, I WILL GIVE BRAINLIEST FOR THE CORRECT ANDWER!!!!! Consider a situation in which P(A), = 1/8, P(C) = 1/4, and P(A and B) = 1/12. what is P(V and C) what do you guys think of my art?