One number is 38 less than another number. If the sum of the two numbers is 108, find the two numbers.

Answers

Answer 1

Answer:

The two numbers are 35 and 73.

Step-by-step explanation:

We can solve this problem by creating two simultaneous equations using the information given.

Let number 1 = x

Let number 2 = y

x = y - 38 -> ( 1 )

x + y = 108 -> ( 2 )

We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier and shorter option.

Substitute ( 1 ) into ( 2 ):

x + y = 108 -> ( 2 )

( y - 38 ) + y = 108

2y - 38 = 108

2y = 146

y = 146 / 2

y = 73 -> ( 3 )

Substitute ( 3 ) into ( 1 ):

x = y - 38 -> ( 1 )

x = ( 73 ) - 38

x = 35

Therefore:

x = 35 , y = 73


Related Questions

Which of the following graphs show a proportional relationship?
Choose all answers that apply:

Answers

Answer:

Which of the following graphs show a proportional relationship?

Choose all answers that apply:

The answer is A.

Using the proportional relationship concept, the graph of a straight line through the origin is seen in option (A).

So, option (A) is the correct option.

What is proportional relationship?

"If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate."

In a proportional relationship, two quantities vary directly with each other.

We can represent relationships in several ways:

1. An equation in the form of y = kx , where k is the constant of proportionality or unit rate.

2. A graph of a straight line that passes through the origin.

3. A set or table of ordered pairs that show equivalent ratios.

4. A verbal description that describes a describe proportional relationship between two quantities.

Explanation for correct option:

According to the given options

The graph of a straight line through the origin is seen in option (A).

So, option (A) is the correct option.

Explanation for other options:

In option(B),

The graph of a straight line does not passes through the origin.

So, option (B) is not correct

In option(C),

Graph is not given

So, it is also not correct

Hence, the graph of a straight line through the origin is seen in option (A).

So, option (A) is the correct option.

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Solve for x: 6x + --(4x + 8) > 12
1
4
Ox>
10
7
Ox>2
Oxs 10
<< 19
0x<2

Answers

Answer:

x > 10/7

Step-by-step explanation:

Take LCM and do cross Multiplication. You will get,

24x + 4x + 8 > 48

or, 28x > 40

or, x > (40/28)

This gives, x > 10/7

4.56 natural numbers or a whole numbers integers rational numbers Irrational numbers or real numbers ​

Answers

Answer:

it is rational number

Step-by-step explanation:

Decimals are not natural and whole numbers.

irrational numbers cannot be expressed by fraction but this question can be experssed by decimal so it is rational number not irrational

hope u like it ❤❤❤

For any question comment me

Pls answer fast Y=Mx+b for x And Y=Mx+b for m Shoe steps

Answers

Answer:

1. x= y/m - b/m

2. m= y/x - b/x

Step-by-step explanation:

hope this helps.

What is the quotient of 8,595 ÷ 24? 334 R 3 334 R 7 358 R 3 358 R 7

Answers

Answer:

358 u literally just waited your time u could have used a calculator

Step-by-step explanation:

Answer:

Quotient = 358

Remainder = 3

Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76 cm^2. Write the answer to two significant figures.

Answers

Answer:

12cm^2

Step-by-step explanation:

Area of a rectangle = Length × Width

Length = 5.6cm

Width= 2.1cm

Area of the rectangle = Length × Width

= 5.6cm × 2.1cm

= 11.76 centimeter square

Area of the rectangle = 11.76 centimeter square

Answer to two significant figures

There are two figures before the decimal and two figures after the decimal

Since, the question asked us to 2 significant figures, then we will focus on the two figures before the decimal point.

11.76

Using .76 round 11 to the nearest whole number

We have,

12 centimeter square

12cm^2

36) A contractor built a square hall having
an area of 4489 m2. How long is the hall?​

Answers

Answer:

area of square = l²= 4489m²

l=√4489 = 67m

Step-by-step explanation:

2.02 into 10 raised to 7 is the answer

Plz help 7th grade math

Answers

Answer:

The answer is -11

Step-by-step explanation:

3+(-14) is basically writing out 3-14 which is -11

Answer:

-11

Step-by-step explanation:

3+(−14)

Subtract 3 from 14 to get −11.

−11

The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is what

Answers

Answer:

"abscissa"

Step-by-step explanation:

The first number in an ordered pair of numbers in a coordinate system is generally called abscissa.

Answer:

x value is the correct answer

Step-by-step explanation:

I just took the test 2021 thank me later

PLEASE HELP I WILL MARK YOU AS BRAINLEIST IF YOU GET THIS RIGHT ! ! !

Answers

Answer:

(-8, 2)

Step-by-step explanation:

Count 4 units to the right.

(-8,2) is the answer to your question :)

Why is 4 + (-3) equal to 1?

Answers

This is because 4+(-3) is also 4-3. So that equals 1

Step-by-step explanation:

4+(-3)=1

because when you open brackets + and - will be -, so 4-3=1

x+4.9=7.28 x= what is the answer

Answers

Answer:

2.38

Step-by-step explanation:

subtract 4.9 on both sides

Answer:

x = 2.38

Step-by-step explanation:

x + 4.9 = 7.28

x = 7.28 - 4.9

x = 2.38


Look at the pattern below.

6, 12, 18, 24, 30, 36

What characteristics of this pattern are true?

All the numbers have 4 as a factor.
All the numbers are composite.
All the numbers are a multiple of 3.
All the numbers are divisible by 2.

Answers

All the numbers are composite, multiples of 3, and divisible by 2.

Answer:

Step-by-step explanation:

4,3,2

The price-demand equation for gasoline is 0.3d + 4p = 80, where p is the price per gallon in dollars and d is the daily demand measured in millions of gallons. Write the demand d as a function of price What is the demand if the price is $ 8 per gallon?

Answers

Answer:

The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

The demand if the price is $ 8 per gallon is 160 millions of gallons.

Step-by-step explanation:

You know that the price-demand equation for gasoline is 0.3d + 4p = 80

To write demand d as a function of price p, you must solve for or isolate demand d, remembering that:

All the terms that are multiplying on one side, go to the other side of the equality by dividing, and those that are dividing go to the other side of the equality by multiplying. The terms that are adding go to the other side of the equality by subtracting and those that are subtracting go to the other side by adding.

So:

0.3d + 4p = 80

0.3d = 80 - 4p

[tex]d=\frac{80 - 4p}{0.3}[/tex]

[tex]d=\frac{80}{0.3} -\frac{4p}{0.3}[/tex]

[tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

To determine how much is the quantity demanded if the price is $ 8 per gallon, you simply plug that value into the previously determined expression and perform the corresponding calculations:

[tex]d=\frac{800}{3} -\frac{40*8}{3}[/tex]

[tex]d=\frac{800}{3} -\frac{320}{3}[/tex]

d= 160

The demand if the price is $ 8 per gallon is 160 millions of gallons.

(HELP) The point (- 8, - 2) is on the parent graph below. Where will it be on the transformed graph?

Answers

Answer:

   x=[tex]\frac{y2 }{9}[/tex]

Step-by-step explanation:

2nd step: [tex]3\sqrt{x}=y[/tex]

third step: [tex]\frac{3\sqrt{x} }{3} = \frac{y}{3}[/tex]

fourth step: [tex]\sqrt{x} =\frac{y}{3}[/tex]

answer:    x=[tex]\frac{y2 }{9}[/tex]

Kevin uses 2/3 cup of flour to make 2 servings of biscuits. How many cups of flour are there per serving?

Answers

[tex] \frac{2}{3} \: cups = 2 \: serving[/tex]

[tex] \frac{ \frac{2}{3} }{2} \: cups = \frac{2}{2} \: serving[/tex]

[tex] \frac{2}{3 \times 2} \: cups = 1 \: serving[/tex]

[tex] \frac{2}{6} \: cups = 1 \: serving[/tex]

[tex] \frac{1}{3} \: cups = 1 \: serving[/tex]

So, there are ⅓ cups of flour in one serving.

Thank you.

Point S is on line segment RT. Given ST = 3x

= 3x – 8, RT = 4x, and

RS = 4x 7, determine the numerical length of RT.

Answers

Answer:

RT = 20

Step-by-step explanation:

Given that,

Point S lies on the line segment RT.

We have, ST = 3x-8, RT = 4x and RS = 4x-7

It is clear that, RT = RS+ST

Putting the values, we get :

4x = 4x-7 + 3x-8

Taking like terms together,

4x-4x-3x = -7-8

-3x = -15

x = 5

Put the value of x in RT = 4x.

So,

RT = 4(5)

RT = 20

Hence, length of RT = 20.

please help me on this​

Answers

Savings account, retirement savings, value of second car, balance in checking account i believe those are the only ones not positive though

Change 53/5 from an improper fraction to a mixed number.

Answers

Answer:

10.6

Step-by-step explanation:

53/5

Answer:

[tex]10\frac{3}{5}[/tex]

Step-by-step explanation:

We divide 53 by 5 which we get 10 3/5

What number is 0.1 less than 173.89

Answers

Answer:

173.79

Step-by-step explanation:

173.89 - 0.1 you move to the decimals place then remove that number once

The number 173.79 is 0.1 less than 173.89

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

We need to find how less is 0.1 than 173.89

In words zero point one is less than One hundred seventy three point eight nine.

To find this we have to use subtraction operator or difference.

Subtraction is an operation that represents removal of objects from a collection

Subtract 0.1 from 173.89

173.89-0.1

We get 173.79

Hence, the number 173.79 is 0.1 less than 173.89

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Point a is at (2,-8) and point c is at (-4,7). Find the coordinates of point b on ac such that the ratio of ab to bc is 2:1

Answers

Answer:(-2,2)

Step-by-step explanation:

Burgers come in packs of 10. The cost of 10 burgers is £3.45. How much does 1 burger cost?

Answers

Answer: 1 burger = £0.345

Explanation:

10 burger = £3.45
1 burger = £3.45/10
1 burger = £0.345

what does y=-(7)/(2)x+5 look like on a graph.

Answers

Answer:

Here you go buddy.

9,000 is blank as 900

Answers

What do u mean I did not understand what your saying 0.0 i don’t think this is math :o

How to eat hotdog thank you

Answers

Answer:

1.Toast your hot dog bun if you like.

2.Grab pan with little bit of water

4.Place hotdog and cook until chang color on both sides

5. Place a cooked hot dog inside the bun.

6.Add sauces.

6.Put on chunky condiments next.

7.Top it with cheese if you like.

8.Finish the dog with your favorite spices.

9. Put the assembled hot dog on a plate.

10.Serve your favorite snacks on the side.

Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?

Answers

4 1/2 - 3 1/4 = 1 1/4 cups

1 1/4 cups / 1/4 = 5

Therefore he has enough oats to feed Coco for 5 days. Hope that helps!

Answer:

5

Step-by-step explanation:

You need to find how many days Stefan can feed Coco with the oats he has left. But first, you need to know how many cups of oats Stefan has left after making granola bars.

Stefan has 4

1

2

cups of oats, and he uses 3

1

4

cups to make granola bars.

Start by writing 4

1

2

with a denominator of 4. Then both fractions will have the same denominator.

4

1

2

=4

2

4

Subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.

4

2

4

–3

1

4

=1

1

4

Stefan has 1

1  

4

cups of oats left.

Bill has $6 more than Ted. Together they have $32. Write two equations and then solve for the amount of money that bill has.

Answers

Answer: Bill Has 19$

Step-by-step explanation:

During a normal day, there are 280 planes taking off the airport, but the airport is a lot busier during Christmas. During the Christmas holidays, about 336 planes take off everyday from the airport

Compared with a normal day, how many more passengers depart from
the airport in a day during the Christmas holidays?

Answers

Answer:

56

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

we dont know how many people are in each plane but based on the average it should be this

If I have a 10 ft PVC pipe,how many 11/5 cuts could I make out of it?

Answers

Answer:

80

Step-by-step explanation:

Help me please because of the points

Answers

Answer:

C

Step-by-step explanation:

Because the dolphin increases his elevation, the amount he increases is added to the original elevation to get the second elevation.

Therefore:

-16 3/4 + 5x = -5 1/4

This option is not in the options but if we rearrange the left side from

- 16 3/4 + 5x

to:

5x - 16 3/4

We get the last option C.

Hope this helped!

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