The product of two positive numbers is 84. The larger number is 2 more than twice the smaller number. What is the larger number?

Answers

Answer 1

Answer:

44. (Sorry if im incorrect. I don't clearly understand the question)

Step-by-step explanation:

Answer 2

Answer:

14 or -12

Step-by-step explanation:

Start by writing an equation for this.

84 = x * (2x + 2)

This expression works because 84 is the product of the number (x) and twice the number plus 2.

Using the equation, solve for x.

84 = x * (2x + 2)

First, simplify.

84 = 2x^2 + 2x

Subtract 2x^2 + 2x to make the equation equal to 0.

84 - 2x^2 + 2x = 0

Factor:

−2(x − 6)(x + 7) = 0

Set factors equal to 0.

x − 6 = 0 or x + 7 = 0

x = 6 or x = -7

x represents the smaller number. The larger number is 2x + 2.

So double x and add 2.

2(6) = 12 and 12 + 2 = 14 so that's one of the options

2(-7) = -14 and -14 + 2 = -12 so that's the other.

Check:

14 * 6 = 84

-12 * -7 = 84


Related Questions

Is 7.12467 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0. Since 7.12467 is an integer or decimal it's rational

Find the lateral surface area of the can of mandarin oranges. Round your answer to the nearest tenth. Radius: 4cm, Height: 11cm

Answers

Answer:

276.3cm²

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

A can is in the shape of a cylinder

Lateral surface area of a cylinder = 2πrh

π = pi = 3.14

h = height = 11

r = radius = 4

2 x 3.14 x 4 x 11 = 276.32 cm²

to the nearest tenth = 276.3 cm²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

work out three fifths of 20 pounds

Answers

3/5 times 20/1
60/5
12

Therefore, 3/5 of 20 pounds is 12 pounds.

Find the measure of the arc or angle indicated

Please help this is geometry

Answers

A is the correct answer

which of the following is the value of x?​

Answers

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

Assuming parallel lines, the two angles marked with measures are complementary to each other.

  45° +(5x +35°) = 180°

  5x = 100° . . . . . . . . . . . . subtract 80° from both sides

  x = 20° . . . . . . . . divide by 5

_____

Comment on the geometry

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. Of course, the acute angles and obtuse angles are linear pairs, hence supplementary. (The only time this won't apply is when all angles are right angles.)

No lines are marked as parallel here, nor does any part of this problem statement say there are parallel lines. So, we cannot find the value of x if we're going strictly by what is shown in the diagram. In the absence of any information, we can only say that the angle marked with an x-expression must be between 0° and 180°.

 0 ≤ 5x +35 ≤ 180 ... -35 ≤ 5x ≤ 145 ... -7 ≤ x ≤ 29.

PLEASE HELP THANK YOU BRANLIEST IS PROVIDED

Answers

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

πr²π(7+6-5/2)²π(8/2)²16π25.12in²

Area of centre rectangle

8(13)104in²

Area of right rectangle

3(6)18in²

Total

18+104+25.12122+25.12147.12in²

Help find the missing side show your work and get brainly

Answers

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

Pythagorean - [tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

For the following problem we are given the hypotenuse ( [tex]\sqrt{84}[/tex] ) and a leg ( [tex]\sqrt{52}[/tex] ) and we need to find the missing side length ( which also happens to be a leg.)

That being said we can find the missing leg by plugging in what we are given into [tex]a^2+b^2=c^2[/tex] ( let a = missing side length )

[tex]a^2+\sqrt{52}^2=\sqrt{84} ^2\\\sqrt{52} ^2=52\\\sqrt{84}^2 =84\\a^2+52=84[/tex]

* subtract 52 from each side

84  - 52 = 32

52 - 52 cancels out

we now have a² = 32

step 2 take the square root of each side

[tex]\sqrt{a^2} =a\\\sqrt{32} =\sqrt{32}[/tex]

Assuming that we are supposed to leave the answer in radical form the answer would be sqrt 32

Answer:

7 in.

Step-by-step explanation:

Let x = the length of the missing side

[tex]x^{2} + \sqrt{32} ^{2} = \sqrt{81} ^{2}[/tex]

[tex]x^{2} +32 = 81[/tex]

[tex]x^{2} = 49\\[/tex]

x = 7 in.

Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?

Answers

Answer:

Solution given:

1 packet=600g

we have

1 tone =1000000g

3tone=3000000g

we have

no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]

=[tex] \frac{3000000}{600} [/tex]

=5000

packets she needs is 5000.

Find the missing term: (x+3)² = x² + 6x + _____

Answers

Answer:

9

Step-by-step explanation:

The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:

(a + b)^2 = a^2 + 2ab + b^2

(x + 3)^2 = x^2 + 2(x)(3) + (3)^2

(x + 3)^2 = x^2 + 6x + 9

So, the missing term is 9.

Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:

(x + 3)(x + 3)

x^2 + 3x + 3x +9

x^2 + 6x + 9

By solving this way, you get the same answer.

Answer:

It would be 9.

Step-by-step explanation:

To do this, lets expand the equation (x+3)^2 by turning it into:

(x+3)(x+3)

Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:

1) First

2) Outer

3) Inner

4) Last

So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:

x^2 + ? + ? so far.

Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.

x^2 + 6x + ? so far.

Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.

x^2 + 6x + 9.

What is 2√47. please help me. I need this ASAP

Answers

Answer:

13.7113092008

Step-by-step explanation:

hope this helps

Answer:

As a decimal form it is 13.71130920... If you are looking for another form just tell me I am happy to help

Step-by-step explanation:

Someone please me thank you

Answers

Answer:

Graph dots in the points of the following:

(-4,10)

(-3,8)

(-2,6)

(-1,4)

(0,2)

(1,0)

(2,-2)

(3,-4)

(4,-6)

(5,-8)

(6,-10)

Connect these dots to make a line.

I need help ASAP plz answer

Answers

Answer:

The answer is A

Step-by-step explanation:

common denominator is 15

5×2=10

3×4=12

10+12=22

22/15

hope it helps :)

Please help on this!!! Thanks!!

Answers

Answer:

7y=4y +9(corresponding sides of congruent triangle)

or,7y-4y=9

or, 3y=9

or,y=9/3

so,y=3

now

ST=7y=7×3=21

again

TU=4y+9=4×3+9=21

hope this will help you more

Peyton opened a savings account with $1800 that pays no interest. She deposits an additional $200 each week thereafterHow much money would Peyton have in the account 40 weeks after opening the account?

Answers

Answer:

Step-by-step explanation:

Answer:

9600

Step-by-step explanation:

1800+200(40-1) = $9600

Can someone help me? And no, I don’t just want the answer. I literally need to know how to do it pls

Answers

Answer:

36

Step-by-step explanation:

The angle b is a right angle which is divided into 2. So, each angle would measure 45 degree. (90 / 2 = 45)

tan 45 = 1

\AD\ = 100 - 64 = 36

to find x , remember SOCAHTOA

tan would be used because we have the vale of the opposite angle and we want to find the value of the adjacent angle

Tan 45 = opposite / adjacent

1 = 36/x

x = 36

The Tuskegee Airmen were best known for being? (Marking branliest but i think the only way to do that is if u comment on what i comment on i think so please do)

A.

the first group of Hispanic soldiers in the U.S. Army.

B.

soldiers who fought in battles of the Korean War.

C.

the first Black military pilots during World War II.

D.

pilots who discovered new islands in the Pacific.

Answers

The answer is C.

The first black military pilots during WW2

c) If Sam only has $25. how much fuel can be bought for $1.40/L?

Answers

Answer:

17.86 liters of fuels

Step-by-step explanation:

25 / 1.40 = 17.86

Or 17 if you cannot buy for less than $1.40

17.85

explanation:
25 ÷1.40= 17.85714285714286

Question 11 (1 point)
David has a gift that he needs to wrap. He is trying to decide if he has enough Avengers wrapping paper or if he will have to use the plain blue
ones he has. The gift is 18 inches by 2 feet by 9 inches, rectangular shape. If he has a piece of Avengers wrapping paper that is 3.5 feet by 3
feet, is it enough to cover the present?

Answers

Answer:

no, it isn't enough to cover the present

Step-by-step explanation:

first, find the volume of the gift in feet

18*9=162 inches

162/12= 13.5 feet

13.5*2= 27 feet

then, the wrapping paper

3.5*3= 10.5 feet

compare them

27>10.5 meaning there isn't enough wrapping paper

Give me anime recommendations, hope you had a good day!

Answers

Answer:

I just started watching My Hero Academia recently, and I'm already on season four! I love it, you should check it out if you haven't already!

Answer:

cowboy bebop

Step-by-step explanation:

7. Solve for x:
8. Find m

Answers

Answer:

From Triangles...

The sum of two opposite interior angles = the exterior

so

3x-2 + 9x + 7 = 14x - 19

12x +5=14x -19

Collecting Like terms

2x= 24

x= 12°.

For "m"

Sum of angles in a triangle=180°

So

180 - (19x-3+9x-2) = m

180 -(28x -5) =m

m= 180 - 28x + 5

m=185 - 28x.

Now

Since sum of everything in a triangle = 180

185 - 28x + 9x -2 + 19x - 3 = 180

185 -28x + 28x -5= 180

185-5=180

180=180

Jada can read 3/5 of an book in 1/4 of an hour How long would it take her to read one whole of the book
A.5/12 of a book per hour
B.5/12 of an hour per book
C. 2 and 2/5 books per hour
D.2 and 2/5 hours per book

Answers

Answer:

A)

Step-by-step explanation:

t = time to read whole book

(3/5 ÷ 1/4) = (5/5 ÷ t)

simplify:

12/5 = 1/t

cross-multiply:

12t = 5

t = 5/12  

What is the value of cos Tan
cos(Tan-'1)?
A.2
c. 2 radical 2
b. Radical 2
d.Radical 2 over
2



Answers

the answer would be D

Two trains started from the same station at the same time and traveled in opposite
directions. After traveling 4 hours, they were 480 miles apart. The rate of the fastest
train exceeded the rate of the slow train by 10 mph. Find the rate of each train.
Please help!!

Answers

Answer:

Fastest train: 65 mph

slowest: 55 mph

Step-by-step explanation:

Divide 480 by 4

=120

To find average speed divide 120 by 2

=60

call the speed of the slowest train y.

y+(y+10)=120

2y=110

y=110/2=55

y+10=65

Hope this helps!! :)

Find the missing side length.
PLEASE NO LINKS- I WILL REPORT YOU.
I Need help-
Thank you

Answers

To find the missing side length you need to remember the 30,60,90 triangle formula. The answer is X=6 Y=6 sq root of 3

How do I solve this I need help and if it’s not too much trouble can you help me understand which system to use. (Btw it’s trigonometry)

Answers

Answer:

[tex]x = 11.4[/tex]

Step-by-step explanation:

So there are ways to find a missing side of a triangle.

Pythagorean TheoremLaw of SinesLaw of CosinesSine,Tangent, or Cosine Function.

I'll explain when we use them,

We use pythagorean theorem if we have a right angle and know at least two sides of a triangle. Since we dont know two sides, we are not going to use that.

We use law of sines if we know a given angle and a side opposite of that angle and a side or angle opposite of the angle or side we are trying to findIf we apply the triangle interior theorem, we can use law of sines. Since 11 and 44 degrees are opposite sides, and x and the missing angle which is 46 is opposite side and angle as well.

We use law of Cosines if we know two sides and a angle between them. We have a missing side so we cant use law of Cosines.Since we are trying to find side measures, sometimes it isn't advised to use SOHCAHTOA.So let use law of sines.

[tex] \frac{11}{ \sin(44) } = \frac{x}{ \sin(46) } [/tex]

[tex] \frac{11}{ \sin(44) } \times \sin(46) = x [/tex]

[tex]x = 11.4[/tex]

(ASAP)!!!
Sam is making a picture frame. He is gluing craft sticks end-to-end to a plece of cardboard. The sticks do not overlap.
Craft Sticks
Craft Sticks
The top of the frame is 18 inches long. Each craft stick is
Is 3.4 inches long
How many craft sticks will Sam glue to the cardboard to make the top of the frame?
O A St /
OD. 15
OB. 6
O E. 2173
Ос. 6
. 6 /

Answers

Answer:5 1/2

Step-by-step explanation:I took the test

-3b-75=0 I need 2 solutions

Answers

Answer:

-25

Step-by-step explanation:

-3b-75=0

    +75 +75

-3b=75

/-3    /-3

b=-25

There isn't 2 solutions

---

hope it helps

18 is 4.5 times a number.

Answers

Answer: 4
Explanation: Just divide 18 by 4.5, replace 18 and 4.5 with any number, you can use a calculator.

The value of x is equal to 4, that is  4.5 times 18 is 4

Given that the expression:

18 is equal to 4.5 times a number.

Assume that the number be x.

To find the number that is 4.5 times 18, we can set up the following equation:

4.5 × x = 18

Now, to find the value of x, divide both sides of the equation by 4.5:

4.5 × x / 4.5 = 18 / 4.5

x = 18 / 4.5

x = 4

So, the number that is 4.5 times 18 is 4.

Learn more about Divided here:

https://brainly.com/question/15381501

#SPJ6

9 + 9 + 9 + 9 = _ x 9

Answers

Answer:

4

Step-by-step explanation:

multiplication is repeated addition

Answer:

4

Step-by-step explanation:

9+9+9+9= 36

36/9= 4

4×9= 9+9+9+9

What is the area in square feet of the shaded part of the rectangle below​

Answers

Answer=176ft^2

Area of a square is l x w or 16 x 14=224
Area of a triangle uses the formula ab/2, so it would be 16 x 6/2=48

224-48=176
Other Questions
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