The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?

Answers

Answer 1

Answer:

If the two numbers are x and y, then:

x + y = 8

18 - 2x = 4y - 2.

When we subtract y from both sides in our first equation we get:

x = 8 - y, so:

18 - 2(8 - y) = 4y - 2

18 - 16 + 2y = 4y - 2

2 + 2y = 4y - 2

2y = 4

y = 2

Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.


Related Questions

How many solutions does the equation 2(9x−6)=18x+2 have?
A.Infinitely many
B.No solution
C.Number of solutions cannot be determined
D.One solution

Answers

Answer:

no solution

Step-by-step explanation:

first you have expand the equation and so you will get

18x-12=18x+2

after you cancel 18x on both sides and so you will get

-12=2

and since that equation is false you will get

no solution

Given the graph that is shown. What is the range of the function?

Answers

Answer:

B

Step-by-step explanation:

Range is Y and the point is -4 to 2

write the fraction of 7/14in it's simple form​

Answers

Answer:

1/2

Step-by-step explanation:

Divide both parts by 7

1/2

Hope this helps :)

Tamara has $42.00 to buy party decorations. She wants to buy 3 packs of party hats, 2 bags of balloons, and a banner

Answers

Answer:

Step-by-step explanation:

Add everything together then you get 22.02 and she could buy everything but you gotta figure out the other part b bc I’m stuck on it

If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?

A. u equals p over q
B. u = 1/2s
C. u equals q over p
D. u = 2s

Answers

Answer:

last answer D

i took the test

The expression that most effectively represents u's value would be:

D). u = 2s

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given that,

In ΔABC,   E is the midpoint in the segment AC and  D is the midpoint of BC.

Now,

CE = 0.5 × AC(midpoint)

CD = 0.5 × CB (midpoint)

Thus,

CE/AC = CD/CB = ED/AB = 1/2        

As ED = s and AB = u

So,  u = 2s    

Learn more about concept  here:

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#SPJ2

Jared and Pedro walk 1 mile in about 15 minutes. They can keep up pace for several hours. About how far they walk in 65 minutes

Answers

Answer:

Jared and Pedro walked a total of 4.3 miles

Step-by-step explanation:The equation for distance is speed = distance ÷ time.Rearrange the equation to make distance the subject:

        (multiply both sides by time)

        Distance = Speed × Time

Convert your numbers into suitable units:

        1 mile ÷ 15 = 0.06m/minute

Finally, substitute the numbers into the equation and solve:

        Distance = 0.06 × 65 = 4.3miles (rounded to the nearest decimal place)

A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 4753 seats, which was 97% of the total number of seats in the theater. How many total seats were in the theater?

Answers

Answer:

4900

Step-by-step explanation:

what is 10:40 plus 7:15 in time?​

Answers

Answer:

5:55

Step-by-step explanation:

just add it up and you'll get the answer which is 5:55

Answer:5:55

Step-by-step explanation: lol

(Giving brainliest)

Solve five ninths plus four sixths.

A) sixty six fifty fourths
B) ten fifteenths
C) thirty ninths

Answers

Answer:

C

Step-by-step explanation:

Make it the same denominator so you can add them (18.)
Multiply 5/9 by 2 and multiply 4/6 by 3.
10/18 + 12/18 = 22/18.
Since there is not 22/18 listed, you can use this fraction as a proportion. The only proportion that can be evident is answer A, as when you multiply 22/18 by 3, you get 66/54.
Your answer is A.

6. Slope =
Y-Intercept
Equation in slope-intercept form:

Answers

Slope = 0.5x
Y intercept = 1
Equation: 0.5x +1

plssss it’s due in 5 min answer plsss

Answers

y=11x+2 should be you answer for the slope

McDonalds sold 7 boxes of chicken nuggets for $25.90 Burger King sold 3 boxes of chicken fingers for $11.07. Which food item has a higher unit price? (1 Point McDonalds O Burger King.

Answers

Answer:

burger king

Step-by-step explanation:

math

Solve (x + 3)2 - 5 = 0 using the quadratic formula.
A) x= 3 + 15 , x= 3 - 15
OB) x= 3
C) x= -3
ODx= -3 + 15x= -3 - 15

Answers

Answer:

x=−3±√5

Decimal Form:

x=−0.76393202…,−5.23606797

So D would be your answer

Step-by-step explanation:

y-2=1/4(x-3)

how can i graph this?

Answers

Answer:

your anwer is x=4y-5

Step-by-step explanation:

11. A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallons of water.
a) Assuming that the volume of water in the tank, V, is a linear function of time, t, in hours,
find a formula for V ( linear function)

b) BY what percent did the volume of water increase from t=0 to t= 1?

Answers

Answer:

V = 30t + 15020%

Step-by-step explanation:

Given

Initial volume = 150 galVolume after 1 hour = 180 gal

a) The volume formula will be:

V = 30t + 150

As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour

b) Increase of volume by percent:

30 gal increase on top of 150 gal

30/150*100% = 20%

Answer:

20%

Step-by-step explanation:

The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour

So you can do:

30 gals of increase on top of the 150 gals to get:

30/150×100%  which equals 20%

:)

MR Collins made a scatter plot to show the relationship between the number of absences a student in her class has the student final exam score

Answers

what’s the question ?

Solve 4h = 92 for h.

h = ___

Answers

Answer:

H= 23

Step-by-step explanation:

92 divided by 4 will give you 23

Answer:

h = 23

Step-by-step explanation:

Divide each term by 4 and simplify.

Need help :) plss will mark brainliest

Answers

Answer:

C

Step-by-step explanation:

3. Solve the following application of a system of linear equations.
Two students in the same Spanish class, Cindy and Ruben, plan to get together after school to make
vocabulary flashcards. Cindy started on the project yesterday and has already made 14 flashcards.
Ruben hasn't started yet so he has none. Since Cindy makes 9 flashcards per minute and Ruben makes
10 flashcards, Ruben will soon have the same number of flashcards.
Which variables will you use and what do they represent?
Write your system of linear equations below.
Solve the system.
How much time will it take for Cindy and Ruben to have the same number of flashcards?
How many flashcards will each student have at that time?

Answers

Answer:

Equations:

[tex]y = 14 + 9 x[/tex] --- Cindy

[tex]y = 10 x[/tex] --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

[tex]Existing\ Flashcards = 14[/tex]

[tex]Additional = 9[/tex] per minute

Total number of flashcards (y) in x minutes is:

[tex]y = Existing\ Flashcards + Additional * x[/tex]

[tex]y = 14 + 9 * x[/tex]

[tex]y = 14 + 9 x[/tex]

Ruben:

[tex]Rate = 10[/tex] per minute

Total number of flashcards (y) in x minutes is:

[tex]y = Rate * x[/tex]

[tex]y = 10 * x[/tex]

[tex]y = 10 x[/tex]

Solution to Equations:

Time they have the same amount.

To do this, we [tex]equate[/tex] [tex]both[/tex] expressions

i.e.

[tex]10x = 14 + 9x[/tex]

Collect Like Terms

[tex]10x - 9x = 14[/tex]

[tex]x = 14[/tex]

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

[tex]y = 10 x[/tex]

[tex]y = 10 * 14[/tex]

[tex]y = 140[/tex]

or

[tex]y = 14 + 9 x[/tex]

[tex]y = 14 + 9 * 14[/tex]

[tex]y = 14 + 126[/tex]

[tex]y = 140[/tex]

What is the value of the value below.
4/5+3/5+3.5*5

Answers

Answer:

18.9

Step-by-step explanation:

Proving the Sum of the Interior Angle Measures of a Triangle Is 180

Answers

What Do you need help?

The sum of the interior angles of a triangle is 180° is proved below.

We are given that;

To prove angle sum property of triangle

Now,

There are different ways to prove that the sum of the interior angles of a triangle is 180°. Here are three common proofs:

Proof : Using parallel lines and alternate interior angles

Since the line PQ is parallel to the side BC, and AB and AC are transversals, we can use the property that alternate interior angles are congruent.

Therefore, we have:

∠QAC = ∠ACB

∠PAB = ∠ABC

Adding these equations, we get:

∠QAC + ∠PAB = ∠ACB + ∠ABC

But ∠QAC + ∠PAB is a straight angle, which measures 180°. So, we have:

180° = ∠ACB + ∠ABC

Adding ∠CAB to both sides, we get:

180° + ∠CAB = ∠ACB + ∠ABC + ∠CAB

Simplifying, we get:

180° = ∠ACB + ∠ABC + ∠CAB

Hence, by the triangles the answer will be given above.

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ4

Mental Math A typical tip in a restaurant is 15% of the total bill. If the bill is $60, what would the
typical tip be?
The typical tip would be $1.

Answers

Answer:

It would be $9.

Because 60 * 0.15 = 9

Step-by-step explanation:

12) Abhasra invests $5,323 in a savings
account with a fixed annual interest rate of
9% compounded continuously. What will
the account balance be after 5 years?

Answers

Answer:

$7,7748.35

Step-by-step explanation:

$5,323$7748.35 + $2,395.35(INTEREST)

20 POINTS!!!!please help due in 20 mins

Answers

Answer:

rate of change is -1/3 (table) and 4 (graph)

Function 2 has the greater rate of change because the graph is steeper, and |4| is bigger than |-1/3|

Step-by-step explanation:

Answer:

(a) Function 1 : -2 Function 2 : 3.

(b) Function 2

Step-by-step explanation:

For function #1, you can calculate the rate of change (another word for slope) by counting the change between each y value. So, when x is 2, y is -3. When x is 3, y is -5. The rate of change is -2!

Show your work by marking an arrow for each y and writing -2.

Function #2, you need to find the slope (rate of change) by drawing a rise/run line when the equation line hits a point on the graph. One point is (-1,1) another point is (0,4). The slope/rate of change is 3.

24/30 in the simplest form

Answers

Answer:

The answer to this question is 4/5.

Answer:

4/5 or 0.8

Step-by-step explanation:

we divide tap and bottom by 6.

Jim’s backyard is rectangular with dimensions of 75 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 2/5. How much fencing will he need if he wants to enclose the garden on all four sides?
He will need __________ feet of fence.

Answers

Answer:

15.6 feet of fence

Answer:

The answer is 45 ft. I hope i helped <3

Step-by-step explanation:

PLS HELP! URGENT!
The sides of a square are 5 square root of 2 inches long. What is the area of the square? (3 points)

20 in2
10 square root of 2 in2
50 in2
25 square root of 2 in2

Answers

Answer:

A

Step-by-step explanation:

Answer: 25 radical 2 in^2 i think

Step-by-step explanation:

if the number of boys to girls in gym class is 2:3, what could be the number of students in the gym class

Answers

Answer:

I think that it is 5

Step-by-step explanation:

There are 2 boys and 3 girls.3+2=5

Please tell me if I'm right.

40 POINTS Geometry homework

Answers

[tex]\angle{DBC }[/tex]=(5x+4)°

[tex]\angle{ A }[/tex]=(2x-2)°

[tex]\angle{C }[/tex]=(4x-6)°

we know that,

[tex]\angle{DBC}[/tex]=[tex]\angle{A}[/tex]+[tex]\angle{C}[/tex]

According to the question,

[tex]\tt{ 5x+4=2x-2+4x-6 }[/tex]

[tex]\tt{ 5x+4=6x-8 }[/tex]

[tex]\tt{ 6x-5x=4+8 }[/tex]

[tex]\blue{x=12 }[/tex]

so,

[tex]\angle{C }[/tex]=(4x-6)°=(4×12-6)°=(48-6)°=42°

Joe has read 20% of a book. He has 16 more pages to finish. How many pages are there in the book?
There are pages in the book.
(Type a whole number.)
Plz answer ASAP

Answers

Answer:

20

Step-by-step explanation:

16 is 80% of 20

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