The sum of two numbers is 70, and their difference 30. Find the two numbers using the process of substitution. Let the first umber = x and the second number = y.

Answers

Answer 1

Answer:

x = 50, y = 20.

Step-by-step explanation:

x + y = 70

x - y = 30

From the second equation x = 30 + y, so substituting this in the first equation:

30 + y + y = 70

2y = 70 - 30 = 40

y = 20

and x - 20 = 30

so x = 50.

Answer 2

Answer:

20 , 50

Step-by-step explanation:

The sum of two numbers is 70 ⇒ x + y = 70  -------------(I)

x = 70 - y  

Their difference 30 ⇒ x - y = 30  ----------(II)

Substitute x = 70 - y in equation (II)

70 - y - y = 30

Combine like terms

70 - 2y = 30

     -2y = 30 - 70

      -2y = -40

Divide both sides by (-2)

y = -40/-2

x = 20

Substitute the value of x in (I)

20 + y = 70

y = 70 - 20

y  = 50


Related Questions

A group of people were asked if they had run a red light in the last year. 385 responded "yes", and 472 responded "no".

Find the probability that if a person is chosen at random, they have run a red light in the last year.

Give your answer as a fraction or decimal accurate to at least 3 decimal places

hurry plssssss

Answers

Answer:

44.9%

Step-by-step explanation:

you can find the probability by dividing the total number of people by the number of people who have run a red light:

385/857

simplify into a decimal:

0.449

convert into a percent to get your answer:

44.9%

Best answer gets brainliest!

Whats the question to my answer?

Answer: pickle

Whats the question?
(u can make up what the question is theres no real answer)

Answers

Answer:

If I give you a nickel, what am I wanting you to tickle? my ____

Step-by-step explanation:

Solve for x
See picture for problem! Please and thank you!!

Answers

Answer:

x = 10°

Step-by-step explanation:

m∠DCR is an exterior angle of the triangle DCE

Solving For Exterior Angles:

To find the value of an exterior angle, we must sum up the two opposite (corresponding) angles inside the triangle

In this case, 2x + 7 and 26 are the corresponding angles

Solve:

6x - 7 = 2x + 7 + 26

4x - 7 = 7 + 26

4x = 14 + 26

4x = 40

x = 10°

Your answer : x = 10°

-Chetan K

WILL GIVE BRAINLIEST. a. determine a rule for the table B. complete the table. for input for 4 and n.

Answers

Answer:

WHAT TYPE OF MATH LIKE WHAT LESSON

Step-by-step explanation:

I’m completely confused on this, but I’ll take a guess

|-The output for 4 is 10
|-the output for the three dots is 13
|-the output for N is 16

If you look at the output for the previous numbers, 1, 4, and 7- you notice that 1+3=4 and 4+3=7, assuming this may be a rule, you can add 3 to 7 which gets you 10, continuing on 10+3=13 and 13+3=16. Next for the input try to see what the input and output have in common. 1 and 1, 2 and 4 and 3 and 7. 1+0=1 2+2=4 3+3=6(+1) =7 4+4=8 (+2)=10 (continue this for the three dots) 5+5=10 (+3)=13. Because of this the input for the three dots would be 5. For N, it would be 6+6=12(+4)=16, so the input for N would be 6.

(Once again I’m not completely sure how this works, and it may be a lot more complex than this (I’m so so so so so sorry if it’s wrong )

I really need help with this question :)

Answers

Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

An airplane travels 2248 miles in 4 hours.
At this rate, how far could the airplane fly in 13 hours?
O 6656 miles
O 6981 miles
0 7306 miles
O I don't know.

Answers

Answer: the answer is 7306 miles in 13 hours

Step-by-step explanation: I just divided 2248 by 4 which is 562 then multiplied it by 13 which made it 7306. I took the quiz and got 100% hope this helps!

this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question 5 times even more if they have their people in need that need help and they come on brainly so they can get help even I do but yall dont care yall answer that yall want to answer thats not fair

Answers

What question do you need help with

Jack’s recipe calls for One-half teaspoon of baking powder. He cannot find the One-half teaspoon measuring spoon. Instead, Jack uses the One-eighth teaspoon measuring spoon to add Three-eighths teaspoon of baking powder. Which statement is true? Jack should stop adding baking powder because One-eighth equals . Jack should add more baking powder because Three-eighths is less than One-half. Jack should add more baking powder because Five-eighths is less than One-half. Jack has added too much baking powder because is greater than .

Answers

Answer:

Jack should add more

Step-by-step explanation:

Because four eighth is half

And he only added 3/8

So when he adds 1/8 more the sum becomes 4/8

4/8=1/2

brainlest if you answer right.

Answers

i think it is 60 but I’m not totally sure

Can someone pls help meee

Answers

>> Answer

_________

[tex] \: [/tex]

[tex] \triangle \sf \: abc = \triangle \sf \: xyz[/tex]

Soo :

Ab = Xy Bc = Yz Ca = Zx

Triangle in the picture.

pls give the steps and the reasons

Answers

Answer:

m<ADB = m<DBC

because they're alternate interior angles.

m<ABD = m<BDC

because they're alternate interior angles.

DC = AB, opposite sides.

AD = BC, opposite sides.

m<ADB = m<ABD, adjacent angles.

m<BDC = m<DBC, adjacent angles.

what is perfect cube​

Answers

Answer:

The perfect cube is the result of multiplying the same integer three times. Multiplying the number 4 three times, for example, yields 64. As a result, the number 64 is a perfect cube. Perfect cube = number x number x number.

Step-by-step explanation:

Perfect cube numbers can be obtained by multiplying every number thrice by itself. For example, 1 × 1 × 1 = 1 and 2 × 2 × 2 = 8 and so on. The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

Answer Here
Why is 0.0123 x 107
not in the correct Scientific
Notation format?

Answers

becauseStep-by-step explanation:

simplify simplify simplify​

Answers

This is what it comes out to being as simplified as I could find.

Answer:

here is the answer

Step-by-step explanation:

Explain why the triangle are similar. Then find the distance represented by x

Answers

Answer:

I think its the rule RHS or SAS that indicates that x is 180ft (scale factor of 1.5)

Step-by-step explanation:

first do 135/90 to find the scale factor of 1.5

then to find x, multiply 120 by the scale factor.

In each triangle below, name the type of line segment that CD is.

Answers

there is no picture?

corrine has 9.6 pounds of trail mix to divide into 12 bags. how many pounds of trail mix will go in each?

Answers

Answer:

0.8 pounds

Step-by-step explanation:

Divide 9.6 pounds by 12 bags = 0.8 pound per bag

Answer:

0.8 lbs per bag

Step-by-step explanation:

9.6 / 12 = 0.8

Answer: 0.8

Guys pls help me!!!!!

Answers

Answer: x = 41 degrees
Y = 41 degrees


Explanation: 180-139= 41

Directions: Convert the equations from standard form to slope intercept form.

Answers

Answer:

Write in slope-intercept form, [tex]y=mx+b[/tex].

5. [tex]y=2x+7[/tex]

6. [tex]y=-\frac{5}{3} x+4[/tex]

7. [tex]y=x-1[/tex]

8. [tex]y=\frac{1}{3}x +5[/tex]

9. [tex]y=\frac{4}{5}x -2[/tex]

10. [tex]y=-\frac{7}{3}x + 6[/tex]

3x(5+4)=7

what dose that =

Answers

the answer is x=-15/5


A,B & C form a triangle where BAC = 90°
AB = 11.9 mm and CA = 2.7 mm.
Find the length of BC, giving your answer rounded to 1 DP

Answers

Answer:

12.2

Step-by-step explanation:

BC = √ABsq + √CAsq

BC = √11.9sq + √2.7sq

BC = √141.6 + √7.3

BC = √148.9

BC =  12.2

HELP PLEASE solve for d

Answers

d= 1- 4bh

Step-by-step explanation:

- 8b = 2d - 2/h

Multiply both sides of the equation by h.

- 8bh = 2d - 2

Swap sides so that all variable terms are on the left-hand side.

2d - 2 = - 8bh

Add 2 to both sides.

2d = - 8bh + 2

The equation is in standard form.

2d = 2 - 8bh

Divide both sides by 2.

2d/2 = 2 - 8bh/2

Dividing by 2 undoes the multiplication by 2.

d = 2 - 8bh/2

Divide -8bh + 2 by 2.

Therefore: d = 1 - 4bh

Help me please this is due please help

Answers

Answer:

18

Step-by-step explanation:

Divide the total weight of dough by the amount required for 1 pizza

20 [tex]\frac{1}{4}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex] ( change mixed numbers to improper fractions )

= [tex]\frac{81}{4}[/tex] ÷ [tex]\frac{9}{8}[/tex]

• leave first fraction , change ÷ to × , turn second fraction ' upside down '

= [tex]\frac{81}{4}[/tex] × [tex]\frac{8}{9}[/tex] ( cancel 81 and 9 by 9 )

= [tex]\frac{9}{4}[/tex] × 8 ( cancel 4 and 8 by 4 )

= 9 × 2

= 18 pizza's

I forgot how to do this. Please help!

Answers

Answer:

It's just a line with a slope of 0 at y= -5

What is..Simplify 15.8

Answers

Answer:

simplify of 15.8 is 16

Step-by-step explanation:

please mark me as brainliest

Answer:

15 4/5

Step-by-step explanation:

A Mars rover traveled from point A to point B at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5 cm/sec, and increased travel time by 15 minutes. What is the distance between point A and point B?

Answers

Using the speed - time relation, the distance between point A and B is 6000 cm

Recall :

Distance = speed × time Time = distance / speed

Let ; the time taken = t ; distance = d

To trip :

d = 4t ----(1)

Fro trip :

t is in seconds ; 15 minutes = (15×60) = 900 seconds

d = 2.5(t + 900)

d = 2.5t + 2250 - - - - - (2)

Equating (1) and (2)

4t = 2.5t + 2250

Collect like terms

4t - 2.5t = 2250

1.5t = 2250

t = 2250 / 1.5

t = 1500 seconds

Hence, distance = 4(t) = 4(1500) = 6000 cm

Therefore, the distance between the points is 6000 cm

Learn more : https://brainly.com/question/25203683

10. If you can travel 97 miles in 30 minutes, how many mileScan you
travel at the same rate in 8 hours?

Answers

Answer: 1,552
Explanation: you want to set up a proportion

Ex:

97 X
—- x —
30. 480

The way I got 480 was I converted 8 hours into minutes because you want the same value of measurement.

After this, just cross multiply and you get the equation

46560 = 30mile

Then just isolate the miles (because you are trying to solve for 1 mile

Miles = 1,552
1,552

30 minutes is half of an hour so first you need to multiple 8•2 then you multiple 97 by what 8•2 is (16) that gets you 1552

If the second quantity in a rate is not 1, how do you find the unit rate?

Answers

Answer:

If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Explain how you can use mental math to
calculate 2^8.

Answers

Answer:

think about what 2 times 8 equals

Step-by-step explanation:

2 sss, aas, sas, or not enough information

Answers

Answer:

ASA

Step-by-step explanation:

there is one more angle, which is the vertical opposite.

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