4. Twice the larger of two numbers is three more than five times the smaller. The sum of four times the larger and three times the smaller is
71. What are the numbers?

Answers

Answer 1

Answer:

Smaller is 5, larger is 14

Step-by-step explanation:

y is larger, x is smaller

2y = 3 + 5x

4y + 3x = 71

Let's solve for y in the first one, then substitute that into the second one.

y = 3/2 + 5/2x

4(3/2 + 5/2x) + 3x = 71

12/2 + 20/2x + 3x = 71

6 + 10x + 3x = 71

13x = 65

x = 5

Substitute that in to the first equation:

2y = 3 + 5(5)

2y = 3 + 25

2y = 28

y = 14

check those answers in the second equation

4y + 3x = 71

4(14) + 3(5)

= 56 + 15 =71


Related Questions

the sum of 8 and a number

Answers

Answer:

x+ 8

Step-by-step explanation:

Find the area of the shaded part (π=22/7)

Answers

Answer:

42cm square

Step-by-step explanation:

Frist find the area of the square. 14*14

Then find the Area of the circle.- (radius) one side of the square is the diameter so, diameter divided by 2 - 14/2=7

After that subtract the area of circle from the area of the square.

Answer:

first we find the area of the square.

area of square=side²

area of square =14²

area of square=196cm²

area of circle=pi×radius²

radius=14/2=7

area of circle=22/7×(7)²

area of circle =22/7×49

area of circle =154cm²

area of shaded region=area of square - area of circle

area of shaded= 196cm²-154cm²

area of shaded=42cm²

What is the area of this quadrilateral?
20
31
27
O A. 24 square feet
O B. 20 square feet
OC. 80 square feet
D. 40 square feet

Answers

Answer:

The area is 40 square feet

Help me please , I’ll mark brainliest

Answers

Answer:

44

Step-by-step explanation:

2 x 2 = 4 which is the inner area without carpet.

12 x 4= 48 is the total area including the inner area

48-4=44 which is the area with carpet

Find the missing values in each column.
Column A
Column 8
Column C
+3+=12
63 +7=
-63+(-7) = 9
-63-7=
Column D
21 + 7 = 3
-21-7) = 3
-21-7=3
21+(-7) = 3
- 24+4=-6
43 - (-4)= -12
Describe the pattern you see in each column's answers in Problem 1. relating it to the problems divisors and
dividends. Why is this so?
Describe the pattern you see between the answers for Columns A and B in Problem I les compare the first answer
in Column A to the first answer in Column B compare the second answer in Column A to the second answer in
Column B) Why is this so?
Describe the pattern you see between the answers for Columns C and Din Problem 1. Why is this so?

Answers

Answer:

because less

Step-by-step explanation:

Which words have vertical symmetry for all of the letters in the word? Check all that apply. MOM DIZZY HIT SEAT WAXY

Answers

Answer: 1, 3, 5

1.) MOM   3.) HIT   5.) WAXY

Step-by-step explanation: i hope this helps :)

The words in which all letters have vertical symmetry are MOM, HIT, and WAXY so options (A),(C), and (E) are correct.

What is symmetry?

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

Vertical symmetry is the way by which a latter will completely coincide about a vertical axis.

For example word "A".

If we take a vertical axis in the mid of the word "A" then about this axis the whole word will coincide by left and right.

Thus, another words are M, O, T, Y, H, X.

The words containing the above letters are MOM, HIT, and WAXY.

Hence "The words in which all letters have vertical symmetry are MOM, HIT, and WAXY".

To learn more about symmetry,

https://brainly.com/question/1597409

#SPJ5

PPLLLLZZZZZ HHHEEELLLLPPPP

Answers

Answer:

11 1/3 sq yards

Step-by-step explanation:

4 1/4 x 2 2/3

change into improper fractions:  17/4 x 8/3 = 136/12 = 11 1/4

Translate this phrase into an algebraic expression.
The sum of 17 and twice Greg's score
Use the variable g to represent Greg's score.

Answers

Answer:

17+2g

Step-by-step explanation:

Answer:

2g=17

Step-by-step explanation:

please help I will mark brainliest
The triangles below are similar.

Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.

Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y

Answers

Answer:

Choice 1) no

Choice 2) yes

Choice 3) yes

Choice 4) no

Choice 5) yes

Choice 6) no

Answer:

2, 3, & 5

Step-by-step explanation:

Helpppppppppppppp!!!!!

Answers

Answer:

60°

Step-by-step explanation:

angle at a point is 360°

add your given angles and minus it from 360°

40°+105°+155°=300

360°-300°=60°

PLEASE HELP 20 POINTS
The area of a rectangular trampoline is 84 ft^2. The length of the trampoline is 8 ft greater than the width of the trampoline. The
situation can be represented by the equation

w^2 + 8w- 84 = 0

What is the width of the trampoline in feet?
A) 7 feet
B) 6 feet
C) 14 feet
D) 8 feet

Answers

Answer:

the rectangle is 14x6, the width is 6ft

Step-by-step explanation:

What is four fifths mines two thirds sorry for asking

Answers

Answer:

2/15

Step-by-step explanation:

4/5-2/3

Confession Time: What's the grossest thing you've done?

I fed my brother worms when I was little, nobody found out...
Anyway, you're welcome for the points.

Answers

use the same toothbrush for over teo months

Simplify (-5x)squared

Answers

Answer:

25x

Step-by-step explanation:

(-5) square × X square

=25x

Answer:

25x  

Step-by-step explanation:

you multiply -5x to itself

Which is the minimum or maximum value of the given function?
51
4
3
21
1P
-5
-4
-3 -2
-1
0
1
21
31
4
5
-1
-3
-41
-5

Answers

Answer:

the minimum value of the given function is -4

Please help!!!!

Sometimes you need to use FOIL, in order to simplify a radical expression,

Multiplying binomial expressions is very similar to multiplying binomial radicals

Examples:

Answers

Answer:

c)  ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]

d)    ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]

Step-by-step explanation:

Step(i):-

Given that the binomial expression

          ([tex](6-\sqrt{12} )(6+\sqrt{12} )[/tex]

Multiply

        ( 36 + 6√12 -6√12 -(√12)²)

    =  ( 36 -12)

   =  24

c)  ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]

Step(ii):-  

Given that the binomial expression

          ([tex](3+\sqrt{8} )(3-\sqrt{8} )[/tex]

Multiply

 =  9 - 3√8 + 3√8 -(√8)²

=   9 - 8

= 1

d)    ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]

HELP When does expanding and simplifying a(b + c) result in a positive value for ac?

Answers

Answer:

When c and a are positive or both are negative

Step-by-step explanation:

negative times negative equals positive so if a was negative and c was negative -a*-c= ac

Of course positive times positive equals negative so if a and c were positive we could do

a*c= ac

Hope I could help !

1. Order the steps to solving a system of equations word problem in the
proper sequence.

Answers

Answer:

The answer is below

Step-by-step explanation:

The steps to solving a system of the equations word problem in the proper sequence are as follows:

1. Identify the problem: since the word problem don't give the direct question that needs to be solved, the first step is to identify the problem from the statement

2. Gather information: here you gather all the relevant information from the statement

3. Create an Equation: use the information available to create an equation for the word problem

4. Solve the problem: put the relevant information into the equation and do the necessary calculation

5. Verify the answer: verify your answer through rough estimates, or principles guiding the equation used, and many more.

patrick mahomes threw 229 yards in the first quarter of the súper bowl. for the last 3 quarters of the game, he ended up throwing a total of 754 yards. write an equation to find how many yards he threw each of the last three quarters

Answers

Answer:

345 yards :)

Step-by-step explanation:

a bag has 4 red balls and 4 balls, what is the probability of getting a red ball randomly. ​

Answers

Answer:

1/2

Step-by-step explanation:

4/8 are red. If you simplify that you get 1/2.

Find the slope (-8,8) and (1,-10)

Answers

-0.2 This the answer

Answer:

Slope = - 2

Step-by-step explanation:

(-8,8) ; (1,-10)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x{1}}\\[/tex]

         [tex]=\frac{-10-8}{1-[-8]}\\\\=\frac{-18}{1+8}\\\\=\frac{-18}{9}\\\\= -2[/tex]

An item that costs $278.00 is marked 65% off. The store is offering an additional 10% off the discounted price. Sales tax for the item is 4%. What is the final price, including tax?

Answers

total would be $58.38

2 1/2 divided by 2 1/4 in its simplest form

Answers

Answer:

convert to improper first

5/2 divided by 9/4-------swap the numerator and denominator of the second

5/2 x 4/9

= 10/9 or 1(whole)  1/9

Step-by-step explanation:

Help Please!! I'm confused about this... (you can explain or screenshot the graph and show where the points are)

Answers

Your first step is to isolate y and put it into slope-intercept form.

Then graph

See screenshots below

How many solutions do the TWO equations have?

15y + 12x = 18 5y + 4x = 6
==========================
2x+ 3y= 12 -6y= 4x-24

^^^ SEPERATE EQUATIONS

Answers

Answer:

Below.

Step-by-step explanation:

15y + 12x = 18

5y + 4x = 6

The  second equations is the first times 3 so they are basically the same.

Infinite Solutions.

2x+ 3y= 12

-6y= 4x-24          Rearranging the second equation:

-4x - 6y = -24      Multiplying the first equation by 2:

4x + 6y = 24      

- we see that the last equation is -1 * previous equation.

So there are infinite solutions.

Find the area of the given rectangle.

Answers

Answer:

D

Step-by-step explanation:

(3X-8)(X+6)

3X^(2)+(3X×6-8X)-(8×6)

3X^(2)+10x-48

Use the FOIL method to check your answer from part A.

Answers

Answer: (3x=2) (x+2)

Step-by-step explanation:

Factor by grouping

What explicit expression can be used to find any term of this sequence: 6, 9, 14, 21, ...

A) f(n) = 3n + 3
B) f(n) = n^2 + 5
C) f(n) = 2n^2 + 4
D) f(n) = n^2 + 3

Answers

Answer:1

Step-by-step explanation:

Find the missing values in the ratio table.
Miles
28
84
Hours

Answers

Answer:3Step-by-step explanation:28 mils in 84 hours = 84 ÷ 28 = 3


Solve 5x-3y =1,
3x-y=5.

Answers

Answer:

Below in bold.

Step-by-step explanation:

5x - 3y = 1

3x- y = 5                    Multiply this equation by -3:

-9x + 3y = -15            Now add this equation to the first equation:

-4x = -14

x = -14/-4 = 3.5.

Now substitute for x in equation 1:

5(3.5) - 3y = 1

-3y = 1 - 17.5

-3y = -16.5

y = 5.5.

Other Questions
The graph of 6x + 4y = -2 is shown on the grid. Which ordered pair is in the solution set of 6x + 4y = -2? es -) A) (2,3) B) (3, 2) (-2, -3) D) (-2,3) U GET 20 BRIANLY POINTS PLS HELP help i will mark brainliest if u help me :))) i think i got the first part but the second one im not sure about and tell me if i got the first part wrong An investor invested a total of $1900 in two mutual funds. One fund earned a 7% profit while the other earned a 4% profit. If the investor's total profit was $51, how much was invested in each mutual fund? The amount invested in the mutual fund that earned 7% was? cannnnnnnnn yOu HeLp Me PlZZ Which type of plate boundary is associated with seafloor spreading at the source of the spread: convergent, divergent, or transform?HURRY! Please answer these questions (will mark brainlyest to BEST answer; If you guess, or just give a nonsense answer, I will report.) square root of 73984 "But just as man is mysteriously ashamed of the skeletons of the trees in winter, so he is mysteriously ashamed of the skeleton ofhimself in death."If the writer were to rewrite this sentence, which rewrite would be faulty for including a dangling modifier?A)Mysteriously ashamed of the skeleton of himself in death, man is alsomysteriously ashamed of the skeletons of the trees in winter.B)Ashamed as he is of the skeletons of trees in winter, man is alsomysteriously ashamed of the skeleton of himself in death.Mysteriously ashamed, the skeleton of himself in death is also man'sshame of the skeletons of trees in winter.D)Man is both mysteriously ashamed of the skeletons of trees in winter andof the skeleton of himself in death. What if the Ferris wheel below had equally spaced seats, such that the central angle were 20. If the radius of the Ferris wheel is 20 feet. How far is the space between the two adjacent seats? Alex rides on a bike that starts from rest and accelerates to a speed of 20 m/s in 8 seconds. What is Alexs acceleration? methods to keep food safe Help me plzzzHistorians claim Stalingrad was possibly the most important turning point battle in Europe, because it opened up an Eastern Front. Explain what this means. an object accelerates 3.0m/s2 wen a fource of 6.0newtons is applied to it what is the mass of the object Can someone help me turn this sentence into a small paragraph please. Genes that give use a stronger immune system so we aren't as easily susceptible to illnesses. Help! Will give brainiestWhich models show the problem 4/6 2/6 = 2? Check all that apply. (5x^4y^7)(6x^2y)= ?I don't know how to do this I need step by step Classify the polynomial by Degree and number of Termsb^3+2b^2-b^2+3b^2+25A. Quadratic PolynomialB. None of the answers apply.C. Cubic TrinomialD. Polynomial In which conflict was containment successful? The sum of 4 consecutive odd numbers is 56, what is the product of the smallest and largest numbers in the series?(show work) Which is the best thesis statement for an essay on the harmful effects video games have on a child's social development?It is a possibility that spending too much time playing video games can affect the social development of a child.Excessive game playing can negatively affect a child's social development because they are not interacting with others in the real world.While playing video games can cause some children to have unrealistic world views, some games may not be a factor in social development.Video games are a fun activity for children and should be encouraged during playtime.