the difference of two numbers is 8. their sum is 17. find the two numbers?

Answers

Answer 1

9514 1404 393

Answer:

4.512.5

Step-by-step explanation:

Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...

  s + (s+8) = 17

  2s = 17 -8 = 9

  s = 9/2 = 4.5

  s+8 = 4.5 +8 = 12.5

The two numbers are 4.5 and 12.5.

_____

Comment on problems of this type

A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...

  two numbers = (sum ± difference)/2

Here, that is ...

  two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)


Related Questions

zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?

Answers

15(h) + 12

h = hours worked

//

15(2) + 12

Please help I don’t wanna add a bunch of points Bc nobody is helping me I’m just wasting them.

You want to determine the height of your
school building. The building casts a 6-foot
shadow at the same time you cast a 15-inch
shadow. If you are 5 feet tall, how tall is the
school building? Write an equation and solve,
showing ALL the work.

Answers

Answer:Cross multiply and solve for x.

x/6 = 5/1.25

let the height of building be h ft

h/6 = 60/15

h = 6(60/15) = 24

the building is 24 ft high

Step-by-step explanation:

Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)

i need help urgently please :D

Answers

Answer:

y = 4

x = 5

y = 2

x = 1

x = 8

Step-by-step explanation:

to find y-intercepts, set x = 0

to find x-intercepts, set y = 0

1.)   4(0) + 5y = 20

     5y = 20

      y = 4 -------> y-intercept

2.)   4x + 5(0) = 20

      4x = 20

       x = 5 -------> x-intercept

3.)   2(0) + y = 2

      y = 2 -------> y-intercept

4.)    2x + 0 = 2

       x = 1 -------> x-intercept

5.)    x - 2(0) = 8

       x = 8 -------> x-intercept

Answer:

4x+5y=20 the answer is below

x= −5/4y+5

y= −4/5x+4

2x+y=2 the answer is below

x= −1/2y+1

y=−2x+2

x-2y=8 the answer is below

x=2y+8

y=1/2x−4

Step-by-step explanation:

Let's solve for x.

4x+5y=20

Step 1: Add -5y to both sides.

4x+5y+−5y=20+−5y

4x=−5y+20

Step 2: Divide both sides by 4.

4x/4 = −5y+20/4

x= −5/4y+5

Answer:

x= −5/4y+5

Let's solve for y.

4x+5y=20

Step 1: Add -4x to both sides.

4x+5y+−4x=20+−4x

5y=−4x+20

Step 2: Divide both sides by 5.

5y/5 = −4x+20/5

y= −4/5x+4

Answer:

y= −4/5x+4

Let's solve for x.

2x+y=2

Step 1: Add -y to both sides.

2x+y+−y=2+−y

2x=−y+2

Step 2: Divide both sides by 2.

2x/2= −y+2/2

x= −1/2y+1

Answer:

x= −1/2y+1

Let's solve for y.

2x+y=2

Step 1: Add -2x to both sides.

2x+y+ −2x=2+ −2x

y=−2x+2

Answer:

y=−2x+2

Let's solve for x.

x−2y=8

Step 1: Add 2y to both sides.

x−2y+2y=8+2y

x=2y+8

Answer:

x=2y+8

Let's solve for y.

x−2y=8

Step 1: Add -x to both sides.

x−2y+−x=8+−x

−2y=−x+8

Step 2: Divide both sides by -2.

−2y −2=−x+8−2

y=1/2x−4

Answer:

y=1/2x−4

...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]

Answers

Answer:

-3

Step-by-step explanation:

(1+2)/(1-2)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

(1+2) ÷ (1-2) = 3 ÷ -1 = -3

Find each angle measure.

Answers

Answer:

Step-by-step explanation:

1)140

2)70

answers:
1) 140
2) 70

15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes​

Answers

Answer:

138

Step-by-step explanation:

120 x .15 = 18

120 + 18 = 138

Answer:

         138

Step-by-step explanation:

[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]

PLEASE HELP ME!! I will give brainliest

Answers

Answer:

D

Step-by-step explanation:

It is on the positive side of the graph and the point is on 3,1

The school production of​ 'Our Town' was a big success. For opening​ night, 391 tickets were sold. Students paid ​$4.00 ​each, while​ non-students paid ​$6.00 each. If a total of $1786 was​ collected, how many students and how many​ non-students attended?

Answers

Answer:

280 students

111 non students

Step-by-step explanation:

number of students (S)

number of non students (N)

S+N=391     S=391-N

4S+6N=1786

substitute S

4(391-N)+6N=1786

1564-4N+6N=1786

subtract 1564 from each side

2N=222

N=111

S=391-111=280

Find the value of x in the following figure.

Answers

Answer:

x = 8

Step-by-step explanation:

180-(89+57)= 180-146 = 34

(5x -6) = 34

5x = 34 + 6

5x = 40

x = 40 ÷ 5

x = 8

...what's
[tex] \sqrt{169} [/tex]

Answers

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

Each earbud is 4/7 of an inch long. If you put 8 earbuds end to end, how long would they be from beginning to end?​

Answers

Answer:

4 4/7

Step-by-step explanation:

4/7x8/1

4x8/7x1

32/7

4 4/7

Answer:

The answer is 4 4/7.

Step-by-step explanation:

4/7 x 8 = 32/7

32/7 = 4 4/7

Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?​

Answers

Multiply 8km/h by 4h. You will get 32 km

Which equation does the model below represent? pls help !

Answers

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is​

Answers

Answer:

Given,

Weight of each apple =75 gm

Weight of each orange =40 gm

So,

Weight of x apples =75x gm

Weight of y oranges =40y gm

Thus,

Weight of x apples and y oranges =(75x+40y) gm

I hope it's helpful!

Is my answer correct???

Answers

Answer:

Yes! Great job!

Hope that helps!

yes it is correct!!!!!!!!!!!!!!!!!!!!!!

3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy

Answers

The answer is 30.
Hope this helps

Answer:

30 is the answer hope this helps!!

I need help it's due by 7

Answers

Answer:

Step-by-step explanation:

w=204.8

Answer:

204.8

Step-by-step explanation:

8x25.6=204.8

DOuble Check:

204.8 divided by 25.6=8

Solve equation 3 + p = 8

Answers

Answer:

The answer is 5

Step-by-step explanation:

You can do inverse operation which is Subtraction.

8-3 = 5

Answer:

5

Step-by-step explanation:

if its not that i have no idea what to say

Find the circumference of the circle

Answers

Answer:

43.95 m OR (14 x pi)m

Step-by-step explanation:

Circumference = 14 x 3.14

Circumference = 43.96 m

Hope that helps!

b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?

Answers

Answer:

bro how many cups fill 14 indentical water bottles

Step-by-step explanation:

question is in complete

or if I take it as x then x/14

hope it helps you

mark me as brainlist

How many degrees of rotational symmetry does the flower have

Answers

Answer:

It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.

Step-by-step explanation:

please help me on this will give you brainliest

Answers

Answer:

1.41 x 10 to the 7th power

Step-by-step explanation:

3 x 10 to the fifth is 300000

300000 x 47 = 14100000 in 47 seconds

14100000 = 1.41 x 10 to the 7th power

Hope that helps!

Answer:

1.41*10^7 or 14,100,000

Step-by-step explanation:

3*10^5*47=1.41*10^7

(10^2 )^3
i need some help

Answers

Answer: 10^6

Step-by-step explanation:

When you take a power to a power, you can multiply the two powers:

10^6

Answer:

10^6 hope this helps you

Use the Distributive Property to find the product.

1 1/5x25=?

The product is .

Answers

Answer:

55

Step-by-step explanation:

you make 25 into its perfect square form and multiply

11÷5 x 5 x 5

Substitute t = 3 and t = 6 to determine if the two expressions are equivalent.

3 (2 t + 5) 6 t + 15

Which statements are true? Select the three correct answers.
The value of both expressions when t = 3 is 33.
The value of both expressions when t = 3 is 23.
The value of both expressions when t = 6 is 41.
The value of both expressions when t = 6 is 51.
The two expressions are equivalent.
The two expressions are not equivalent.

Answers

Answer:

If t= 6

3 (2 x 6 + 5) 6 x 6 + 15

3 (12+5) 36 + 15

3 x 17 =51

= 51

The value of both expressions when t=6 is 51

When t = 3

3(2 x 3 + 5) 6 x 3 + 15

3 (6 +5) 18 + 15

3 x 11 =33

= 33

The value of both expressions when t= 3 is 33

Step-by-step explanation:

Step-by-step explanation:

Answer:

Explanation You Welcome Broski:It is A, D, and E Hope that is helpful...

: ^ )                

Also Give me a good rating to please

I <3 The World

9+9+9= (Forever)

999 Forever...

HELP ME ASAP! I have this assignment as missing ahhhh!! I'll mark brainliest

In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD.


What is the length of side BE?

Answers

Answer:

[tex] 3\frac{1}{3} [/tex]

or

[tex] \frac{10}{3} [/tex]

or

[tex]3.333[/tex]

Step-by-step explanation:

These two triangles are similar. Since they share two angles, the right angle and angle EBD and ABC are congruent. By AA similarity rule, they are similar triangles.

Since they are similar we can set up a proportion of the triangles since similar triangles have proportional side length.

Side AC corresponds with DE

Side AB corresponds with BE

Side BC corresponds with BD

So we can use this proportion theorem, or angle bisector theorem

[tex] \frac{ac}{ab} = \frac{de}{be} [/tex]

Plug in the numbers.

[tex] \frac{3}{5} = \frac{2}{x} [/tex]

Cross multiply

[tex]3x = 10[/tex]

[tex]x = \frac{10}{3} [/tex]

As a decimal it equal

[tex]3.333[/tex]

or

[tex] 3\frac{1}{3} [/tex]

I NEED HELP ASAP WILL GIVE BRAINLYEST

Answers

Answer: D. 25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

Simplify the expression

Answers

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

Which graph represents this system?
Y=3
X+ y = 4


Answers

Answer:

Step-by-step explanation:

1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)

Answers

Answer:

I think it's correct but tell me if I'm wrong

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