The sum of two numbers is 8 and their difference is half of the sum. Find the
two numbers.

Answers

Answer 1

Answer:

6 and 2

Step-by-step explanation:

6+2= 8, so they can combine to equal 8. First box checked. Then, they can also be subtracted to get 4, half of 8. 8/2= 4 and 6-2=4. Second box checked.

Hope this helped :D

Answer 2

Step-by-step explanation:

Let's take the numbers as m and n and classify the info

m+n=8

m-n=4

So solving the sums Simultaneously you can get

2n=4

n=2

Substituting this value gives

2+m=8

m=6

Inorder to check if your answers are valid add them to the equations

6+2=8✅

6-2=4✅

Therefore the answers are valid


Related Questions

Find the points of intersection of the graphs involving the following pair of functions.

f(x)=2x^2 + 3x - 3 and g(x) = -x^2

Answers

Answer:

The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]

Step-by-step explanation:

f(x) = 2x^2 + 3x - 3 and g(x) = - x^2

By equating them

2x^2 + 3x - 3 = -x^2

3x^2 + 3 x - 3 =  0

x^2 + x - 1 = 0

[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]

p{x:x is a natural number x (9​

Answers

Answer:

you need a photo my dude

Step-by-step explanation:

Which point represents the unit rate?

A

B

C

D

Answers

Answer:

Point C represents the unit rate

Step-by-step explanation:

8th Grade Which expression is equivalent to 1/27​

Answers

Answer:

[tex]( \frac{1}{3})^{3} [/tex]

Step-by-step explanation:

There are many expressions that can be equivalent to 1/27.

For example, 2/54, 3/81 etc

But I think the expression you are looking for is

[tex] \frac{1}{27} = \frac{1 \times 1 \times 1}{3 \times 3 \times 3} = \frac{ {1}^{3} }{ {3}^{3} } = ( \frac{1}{3} )^{3} [/tex]

Hope this is helpful

8 9 13. Jenny bought kg of berries from the market and another 3 kg of berries from a fruit stall. How much berries did she buy altogether? 3 3​

Answers

Answer:

she bought 5 berries in total

Step-by-step explanation:

3+2=5

Jenny bought 1 5/12 kg of berries altogether.

Explanation:
Jenny bought 2/3 kg of berries and another 3/4 kg of berries.

Add the fractions:
2/3 + 3/4
= 8/12 + 9/12
= 17/12
= 1 5/12

Hope this helps!

X S2.0.2
A rocket is fired upward with an initial velocity v of 80 meters per second. The quadratic function S(t) = -52 + 80t can be used to find
the heights of the rocket, in meters, at any time t in seconds. Find the height of the rocket 8 seconds after it takes off. During the
course of its flight, after how many seconds will the rocket be at a height of 290 meters?

Answers

9514 1404 393

Answer:

320 m after 8 seconds5.6 seconds, 10.4 seconds to height of 290 m

Step-by-step explanation:

To find the height at 8 seconds, evaluate the formula for t=8.

  S(t) = -5t^2 +80t

  S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height of the rocket is 320 meters 8 seconds after takeoff.

__

To find the time to 290 meters height, solve ...

  S(t) = 290

  290 = -5t^2 +80t

  -58 = t^2 -16t . . . . . . . divide by -5

  6 = t^2 -16t +64 . . . . . complete the square by adding 64

  ±√6 = t -8 . . . . . . . . . take the square root

  t = 8 ±√6 ≈ {5.551, 10.449}

The rocket is at 290 meters height after 5.6 seconds and again after 10.4 seconds.

Badluckville had been expecting a $50 million investment for a new golf resort, but the contract was cancelled.
Badluckville's mayor estimates that this will cost the city $300 million in total economic activity. What is the mayor's
estimate of the multiplier and marginal propensity to consume?

Answers

Answer:

multiplier = 6

marginal propensity to consume = .83

Step-by-step explanation:

/ means divided by

1 .

300,000,000 / 50,000,000 =

multiplier =

6

2.

300,000,000 - 50,000,000 =

250,000,000

250,000,000/300,000,000 =

marginal propensity to consume =

0.83333333333

or

.83

quizlet

marginal propensity to consume is equal to ΔC / ΔY, where ΔC is the change in consumption, and ΔY is the change in income

investopedia

The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in operation, the wiper sweeps through 135°. Find the area swept by the blade. (Round your answer to the nearest whole number.)

Answers

Answer:

Area swept by the blade = 448[tex]in^{2}[/tex]

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches  from area of sector with radius as 24 inches.

So, area of sector with r=24 in =[tex]\frac{135}{360} *\pi *24^{2}[/tex]

Simplify it,

                                                  =216[tex]\pi[/tex]

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = [tex]\frac{135}{360} *\pi *14^{2}[/tex]

Simplify it

                                          =73.5[tex]\pi[/tex]

So, area swept by the blade = 216[tex]\pi[/tex] -73.5[tex]\pi[/tex]

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

                               =447.6769

Round to nearest whole number

So, area swept by the blade = 448[tex]in^{2}[/tex]

Select the two values of x that are roots of this equation 2x^2+5x-3=0

Answers

Answer:

A and D are the answer.

Step-by-step explanation:

We can factor this by grouping

[tex]2 {x}^{2} + 5x - 3[/tex]

[tex]2 {x}^{2} + 6x - x - 3[/tex]

[tex]2x(x + 3) -1 (x + 3)[/tex]

The roots are

[tex](x + 3) = 0[/tex]

and

[tex]2x - 1 = 0[/tex]

Let solve for zero in each roots.

[tex]x = - 3[/tex]

[tex]2x = 1[/tex]

[tex]x = \frac{1}{2} [/tex]

the Barnes family drove 140 miles the first day and 220 miles on the second day. If they drove about 60 miles per hour, approximately how many hours did they drive? ​

Answers

140+220=360
60x6=360
therefore your answer is 6 hours

Instructions: Drag and drop the correct name for each angle. Each angle has more than one name so be sure to identity all the correct names

Answers

Answer/Step-by-step explanation:

Recall: an angle can be named in three different ways:

i. Using one letter which is the vertex of the angle. i.e. if the vertex of the angle is A we can name the angle as <A.

ii. Using the number of the labelled angle. i.e. is the angle is labelled 2, we can name it <2

iii. Using the three letters of the angles with the vertex angle in the middle. i.e. if the three points that form an angle are A, B, C and the vertex is B, we can name the angle as <ABC.

✔️Let's name the each angle given according:

1. <G, <3, and <FGH

2. <D, <4, and <CDE

3. <S and <TSR (the number seems blur and difficult to read. Whatever number is used to label the angle is what you'd use in naming the angle)

Follow the process of completing the square
to solve 2x2 + 8x - 12 = 0.
After adding B2 to both sides of the equation in step 4, what is the constant on the right side of the equation?

Answers

2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

Find the value of x in each case

Answers

The answer is 36 degrees

Step 1

Angle GEH=180-2x (angles on a a straight line are supplementary)

Step 2

4x= G^+GE^H(sum of exterior angle)

4x=x+(180-2x)

4x=180-x

4x+x=180

5x=180

x=36 degrees

If anyone could help me figure out this problem I’d really appreciate it and I’ll give you brainliest

Answers

Answer:

A={Delaware, Pennsylvania, New Jersey}

|B|=3

Step-by-step explanation:

B={New Hampshire, Virginia, New York}

Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. What is the average number of cars in the system

Answers

Answer:

the average number of car(s) in the system is 1

Step-by-step explanation:

Given the data in the question;

Arrival rate; λ = 2.5 cars per hour

Service time; μ = 5 cars per hour

Since Arrivals follows Poisson probability distribution and service times follows exponential probability distribution.

Lq = λ² / [ μ( μ - λ ) ]

we substitute

Lq = (2.5)² / [ 5( 5 - 2.5 ) ]

Lq = 6.25 / [ 5 × 2.5 ]

Lq = 6.25 / 12.5

Lq = 0.5

Now, to get the average number of cars in the system, we say;

L = Lq + ( λ / μ )

we substitute

L = 0.5 + ( 2.5 / 5 )

L = 0.5 + 0.5

L = 1

Therefore, the average number of car(s) in the system is 1

Peter organizes morning hikes for his friends every Saturday. When the hiking trail is 3 km long, 19 friends join him and when the trail is 5 km long, only 7 friends tag along. There exists a linear relationship between the distance of the hiking trail (in km) and the number of friends who tag along. The number of friends depend on the distance of the trail. Determine how many friends will tag along to a hiking trail of 2 km. ​

Answers

Answer:

25

Step-by-step explanation:

x = distance of the hike

y = number of friends coming along

so, we are looking for a linear relationship between these two.

y = ax + b

we need to find the factor a and the constant offset b.

19 = a×3 + b

7 = a×5 + b

7 - b = a×5

a = (7-b)/5

19 = (7-b)×3/5 + b

19 = (21 - 3b)/5 + b

95 = 21 - 3b + 5b

74 = 2b

b = 37

a= (7-37)/5 = -30/5 = -6

so, the relationship is

y = -6x + 37

for 2km hiking

y = -6×2 + 37 = -12 + 37 = 25 friends

If the domain of a function that is rotated 90 degrees counter-clockwise is (0, 0), (3, 5), (-1, 4), what is the range?
A. (0, 0), (5, 3), (4, -1)

B. (0, 0), (5, -3), (4, 1)

C. (0, 0), (-3, -5), (1, -4)

D. (0, 0), (-5, 3), (-4, -1)

Answers

Answer:

the answer is B. (0,0) (5,-3) (4,1)

please mark me brainlist

Step-by-step explanation:

Answer:

Your answer is

Step-by-step explanation:

Your answer is B.(0, 0), (5, -3), (4, 1)

the voltage in a lightbulb is given by the equation V= IR. in this equation V is the voltage, I is the current , and R is the resistance. what is the current in a lightbulb with a voltage of 35.0 V and a resistance of 175

Answers

Answer:

a

Step-by-step explanation:

Find the imagine of (x-1 ,y -8 )

Answers

Answer:

triangle KLM

Step-by-step explanation:

x-1 meaning subtractikn so u subtract l from its original x cord making it move left 1

y-8 same thing but for the y making it move down 8 spaces

PLEASE HELP ASAP !! WILL MARK BRAINLIEST

Answers

I think it might be the 3rd option

Step-by-step explanation:

Use the quadratic formula to find the solutions to the equation.
3x^2-10x+5=0

Answers

Answer:

option a is correct by using quadratic formula

7r - 3s =26

2r - 6s =8

Answers

Answer:

r = 3 2/3

s = -0.444333

Step-by-step explanation:

Multiply the top equation by 2

14r - 6s = 52

2r -  6s =   8          Subtract the two equations

12r = 44                 Divide by 12

r = 44/12

r = 3 8/12

r = 3 2/3

2r - 6s = 8

2*(2 2/3) - 6s = 8

2*2.6667 - 6s = 8

5.3334 - 6s = 8              Subtract 5.3334 from both sides.

- 6s = 2 2/3                    Divide by - 6

s = - 0.4443333

Find the distance between the two points.
(3,-9) and (-93,-37)

Answers

Answer:

d(A,B)=100

Step-by-step explanation:

The distance between two points A([tex]x_A,y_A[/tex]) and B=([tex]x_B,y_B[/tex]) is:

d(A,B)=[tex]\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

In this case:

[tex]x_B = - 93\\x_A = 3\\y_B = -37\\y_A = -9[/tex]

In this case:

[tex]d(A,B)=\sqrt{( - 93 -3)^2+( - 37 - (-9))^2} =\\=\sqrt{( - 96)^2+(-28)^2} =\\=\sqrt{9.216+784} \\=\sqrt{10000}=\\=\sqrt{10^4} =\\=100[/tex]

Finding probabilities associated with distributions that are standard normal distributions is equivalent to​ _______.

Answers

Answer:

finding the area of the shaded region representing that probability.

Step-by-step explanation:

In a normal distribution, standardardized probability is usually represented digramatically by a sketch which covers the area which always has a mean of 0 and a standard deviation of 1. The mean value is the midpoint of the area under the curve and has an equal difference of 1 to either side of graph which represents the standard deviation. The area of the shaded region under a normal probability curve represents the probability of associated with that particular standardized value.

ayúdenme por favor, es de matemática.

Answers

Answer:welcome to brainly

Step-by-step explanation:

Hello there! My name is agenthammerx, a Master Answerer and Engagement Team Member here on Brainly. I am here to welcome you to the site! Thank you for taking initiative to check out Brainly and for posting your first question! The Brainly Community welcomes you. If you have any questions regarding anything about the site, please don’t hesitate to reach out to me! I will try my best to help you and answer your question or check out our help center at https://faq.brainly.com/

Given that Q(x)=2x^2 +5x-3 find and simplify Q(a+h)-Q(a-h)

Answers

Step-by-step explanation:

here is the answer. Feel free to ask for more.

the angle of elevation of the top of the mast from a point 53m to its base on level ground is 61°. find the height of the mast to the nearest meter

Answers

the answer Is 95.61465. If you approximate you get 10.

(c) Construct a 99% confidence interval for u if the sample
size, n, is 35.

Answers

Answer:

The confidence interval is [tex](\overline{x} - 1.99\frac{\sigma}{\sqrt{35}}, \overline{x} + 1.99\frac{\sigma}{\sqrt{35}})[/tex], in which [tex]\overline{x}[/tex] is the sample mean and [tex]\sigma[/tex] is the standard deviation for the population.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

[tex]M = 1.99\frac{\sigma}{\sqrt{35}}[/tex]

The lower end of the interval is the sample mean subtracted by M, while upper end of the interval is the sample mean added to M. Thus, the confidence interval is [tex](\overline{x} - 1.99\frac{\sigma}{\sqrt{35}}, \overline{x} + 1.99\frac{\sigma}{\sqrt{35}})[/tex], in which [tex]\overline{x}[/tex] is the sample mean and [tex]\sigma[/tex] is the standard deviation for the population.

Which statement about y=x^2-14x+45 is true

Answers

It should be A. Just factor 45

A woman had 88 goats.20 of them died.how many did he remains with. ​

Answers

Nothing cause she used to have 88 and 20 of them died so yeah nothing remains I guess

Answer:

68 i think..........

Step-by-step explanation:

(⌒_⌒;)

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