One positive integer is 4 less than twice another. The sum of their squares is 445. Find the integers.

Answers

Answer 1

9514 1404 393

Answer:

  11, 18

Step-by-step explanation:

Let x and y represent the two integers.

  y = 2x -4 . . . . . one is 4 less than twice the other

  x^2 +y^2 = 445 . . . . the sum of their squares is 445

Substituting for y using the first equation, you have ...

  x^2 +(2x -4)^2 = 445

  5x^2 -16x -429 = 0 . . . . . collect terms, subtract 445

  (5x +39)(x -11) = 0 . . . . . . factor*

The positive solution is the value of x that makes a factor zero:

  x = 11

  y = 2(11) -4 = 18

The two integers are 11 and 18.

_____

* The factoring is greatly aided by the knowledge that x=11 is a solution, found using the graphing calculator.

One Positive Integer Is 4 Less Than Twice Another. The Sum Of Their Squares Is 445. Find The Integers.

Related Questions

4x+25=57
valor de x por favor​

Answers

Answer:

4x=8

Step-by-step explanation:

4x=32

32/4=8

Answer:

x=8

Step-by-step explanation:

4x+25=57

Subtract 25 from both sides:

4x+25-25=57-25

Simplify:

4x=32

Divide both sides by 4:

4x/4=32/4

Simplify:

x=8

Raymond’s Bake Shop sold 26/1/2 dozen cupcakes on Saturday. On Friday,

the bake shop sold 19/3/4 dozen cupcakes. What is the approximate

percent increase in cupcake sales from Friday to Saturday?

Answers

Answer:percent increase in cupcake sales from Friday to Saturday= 34%

Step-by-step explanation:

 Step 1

Percent increase = Increase in cup cakes/ Old amount of cupcakes x100

Cupcakes sold on Friday = 19 3/4

Cupcakes sold on  Saturday = 261/2

Increase in sales =26 1/2 -- 19 3/4  ( we will change to decmal for easy solving)

=26.5 - 19.75= 6.75 or 6 3/4

Step 2

Percentage increase = (6 3/4)/ (19 3/4)  x100

Percentage increase = 6.75/19.75 x 100

Percentage increase =0.341 x100 = 34%

What is the remainder for 1,259/6?

Answers

Answer:

209 R 5

Step-by-step explanation:

Hope this helps

Answer:  209.833333333

Step-by-step explanation:

1259 6 = 209.833333333

209.833333333 = 2098.33333333 to the nearest tenth

209.833333333 = 209.83 to the nearest hundredth

209.833333333 = 209.833 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

1259 divide by half plus 20

HWA: (1259/2) + 20 = 649.5

1259 divide by half plus 40

HWA: 1259/2) + 40 = 669.5

1259/6 divided by 2

Answer: (1259/6) ÷ 2 = 104.916666667

In ΔABC , angle C is a right angle.









Which statement must be true?






A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B

Answers

Answer:  Choice A. sin(A) = cos(B)

============================================================

Explanation:

The rule is that sin(A) = cos(B) if and only if A+B = 90.

Note how

sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/AB

Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).

In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.

The side lengths can be anything you want, as long as you're dealing with a right triangle.

Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

Answers

Answer:

a. 0.4

b. 0.6

c. 0.6493

Step-by-step explanation:

p(checking work email) = p(A) = 0.40

p(staying connected with cell phone) = p(B) = 0.30

p(having laptop) = p(c) = 0.35

p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16

p(neither A,B or C) = p(AuBuC)

= 1-42.8%

= 0.572

p(A|C) = 88% = 0.88

p(C|B) = 70% = 0.7

a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?

p(B|A) = p(AnB)/p(A)

= 0.16/0.4

= 0.4

b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?

p(B|C) = P(C|B)p(B)/p(C)

= 0.7x0.3/0.35

= 0.6

c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?

p(A|BnC)

= P(BnAnC)/p(AnC)

= p(AnC) = p(A|C).p(C)

= 0.88x0.35

= 0.308

p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)

p(BnC) = 0.7x0.3

= 0.21

p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21

= 0.2

p(A|BnC) = 0.2/0.308

= 0.6493

Answer:

which ever one you want its an opinion answer.

Step-by-step explanation:

Select the correct answer.
What are the zeros of this quadratic function?

f(x) = (x − 7)(x + 8)

A.
x = 7 and x = -8
B.
x = -7 and x = 8
C.
x = 0 and x = -8
D.
x = 0 and x = 7

Answers

You use the FOIL method, and how you do this is -

(x - 7) (x + 8)

Multiply the first x by both numbers in the second factor. Which means, you multiply x by x and 8, the two in (x + 8).

With this, you get -
x^2 + 8x

Then do the same thing with -7.

-7x - 56

Then combine the two.
x^2 + 8x - 7x - 56

Combine like terms.

x^2 + x - 56

So now, 7 x 8 is 56
And -7 + 8 would be 1. And that is the value of “x” which is b in the form a^2x + bx + c.

Now with this, you take those two numbers and make the factors =
(x + 8) (x - 7)

Then you set these equal to 0.

x + 8 = 0

Subtract the 8 from both sides.

x = -8

————

x - 7 = 0

Add the 7 on both sides.

x = 7

Answer: A

Answer:

The answer would be A

Step-by-step explanation:

You can find the answer by doing the FOIL method.


Find the VOLUME of the right circular cone:
26 m
10 m

Answers

2721.3

1/3 (3.14)(10 squared) (26)

Cynthia walk 9/100 Miles to school and 3/10 Miles friends house how many miles does Cynthia walk total

Answers

Answer:

12 Miles

Step-by-step explanation:

help me with this fast and explain it for brainiest :)

Answers

So i think it would be 1/2 (OR .5), or possibly 2 depending on what its asking.

Every number in X can be multiplied by 2 to receive y, or the numbers in y.

The linear equation would be x*2=y, making the linear function 2, UNLESS you want to take Y and DIVIDE it by 2, making it 1/2, linear equasion would be y*.5=x, or y/.5=2 OR y*1/2=x.

Hope this helps, I'm so sorry if its wrong, I'm not too good at linear functions, I'm pretty sure its 1/2.

PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH

Answers

Answer:

Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.

Answer:

Function 2

Step-by-step explanation:

True or False: If you are tossing three dice, ={2,3,4,5,6}
is an event in that sample space.

false

true

Answers

I think is true

Please let me know if it right

How do you solve the attached?

Answers

Answer:

it dont show

maybe try again

Four more than twice a number​

Answers

4 + that number then multiply the number by 2

Answer:

x•2+4

Step-by-step explanation:

An unspecified number (x) twice (x+x or x•2) plus four more (x•2+4)

simplify the expression 5t + (3r+2r) + 3t +4r

Answers

8t+9r is the answer yea


Help me find the volume of the composite figure

Answers

Answer:

[tex]V = 97.911in^3[/tex]

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

Determine the volume

First we calculate the volume of the cube

[tex]V_1 = l^3[/tex]

Where

l = side length = 5.1

[tex]V_1 = 5.1^3[/tex]

[tex]V_1 = 132.651[/tex]

Next, calculate the volume of the cone using:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

Where

h = 5.1

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 5.1[/tex]

[tex]r = 2.55[/tex]

So, we have:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]

[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]

[tex]V_2 = \frac{729.5805}{21}[/tex]

[tex]V_2 = 34.74[/tex]

The volume of the figure is:

[tex]V=V_1 - V_2[/tex]

[tex]V_1 = 132.651[/tex]

[tex]V = 132.651 - 34.74[/tex]

[tex]V = 97.911in^3[/tex]

HELP PLEASE. DUE MIDNIGHT

Answers

Answer:

(-1, -5)

(0, 3)

(1, 11)

(2, 19)

(3, 27)

The numbers that are bolded are the answers for the empty boxes in the y row.

Step-by-step explanation:

To find the answer, just plug each number in the x row to the equation:           y = 8x + 3

Example:

y = 8x + 3                  

    8(-1) + 3

     -8 + 3

y = -5

y = 8x + 3

     8(0) + 3

      0 + 3

y = 3

y = 8x + 3

    8(1) + 3

    8 + 3

y = 11

On Aaron’s farm, 1/10 of the animals are cows, ⅖ of the animals are chickens,
and ¼ of the remaining animals are pigs. If there are 40 animals on Aaron’s farm,
how many pigs are on Aaron’s farm?

Answers

Answer:

There are 5 pigs on Aaron's farm

Step-by-step explanation:

1. Start with 40 animals

2. 1/10 of the animals are cows, so divide 40 by 10 and you will find that 4 of the animals are cows

3. 2/5 of the animals are chickens, so multiple 40 by 2 to get 80 and then divide 80 by 5 and you will find that 16 of the animals are chickens

4. Subtract the 4 cows and 16 chickens from the 40 total animals and you find there are 20 more animals that are neither cows nor chickens

5. Of the 20 remaining animals, 1/4 are pigs, so divide 20 by 4 and you will find that there are 5 pigs

Answer:

There are 5 pigs on Aaron's farm

        Hope this helps! good luck :)

What is the value of x?​

Answers

Answer:

x=2

Step-by-step explanation:

so u have 7 as the whole length.

and 5 of the 7 is filled

so u do this 7-5=2

Which angle in Figure A'B'C'D' is equal to ZCDA?
O-ZD'A'B'
O ZA'B'C'
O ZB'C'D'
O ZC D'A'

Answers

The answer is D because C’D’A’ is the same as CDA

Jada has read 7/10 of a book. The book has 80 pages. How many more pages does she need to read before she is done with the book?

Answers

Answer:

24 More Pages

Step-by-step explanation:

7/10=0.7=70%

70% of 80 = 56

80 - 56 = 24

24 More Pages

Answer: 24 pages

Step-by-step explanation:

7       x

10    80

560=10x

÷10   ÷10

56=x

56 pages already read

80-56=24

24 pages left

The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table.

Sixth Grade Teachers
History
Science
Art
Mr. Nelson
Ms. Porter
Mr. Rosenberger
Ms. Hogan
Mr. Grist
Ms. Patel
Ms. Miller
Ms. O’Reilly
Ms. George
Mr. Springer
Ms. Trufant
Ms. Callahan
Ms. Daniels
Mr. Pollard

Ms. Cartwright
Ms. Davis

Mr. Bergeron
Mr. Cooper

Mr. Chin
Mr. Dawson


Ms. Sarno


How many combinations of one history, one science teacher, and one art teacher include Mr. Bergeron?
13
36
252
288

Answers

Answer:

Step-by-step explanation:

The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table. How many combinations of one history, one science teacher, and one art teacher

let say number of history. teacher = H

number of science teacher = S

number of Art teacher = A

Acombinations of one history, one science teacher, and one art teacher = H * S * A

The combinations of one history, one science teacher, and one art teacher include Mr. Bergeron is (H x S x A).

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

We have,

The Springfield Middle School sixth-grade teachers of history, science, and art are listed in the table.

The number of history teacher = H

and, the number of science teacher = S

and, the number of Art teacher = A

So, the combinations of one history, one science teacher, and one art teacher

= H x S x A

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ3

make two equations for each:
exactly one solution
no solutions
infinitely many solutions

Answers

Answer:

Two equations with exactly one solution

y=x

y=-x

Two equations with no solutions

y=x

y=x+1

Two equations with infinitely many solutions

x+y+1

2x+2y=2

Step-by-step explanation:

Let's use linear equations.  The slope intercept form is

y=mx+b

m is the slope and b is the y intercept.

To make the equations have one solution, the two equations must represent lines that do not have the same slope, so that they intersect.  We must choose different slopes, but any y intercepts will do.  Example: Choose the slopes to be 1 and -1 and choose both y intercepts to be 0

y=x

y=-x

For there to be no solutions, all we need are the same slopes and different y intercepts, so that the lines are parallel and at different heights. Let's choose the slopes to be 1 and the y intercepts to be 0 and 1.

y=x

y=x+1

To get infinitely many solutions all we need is for the lines to be parallel with the same y intercept, so that they lie on top of each other. We could use

y=x

y=x

but your teacher probably wants something different.  So, lets use another form of a linear equation, the so-called standard form.

ax+by=c

if you solve this for y, you get

y=-(a/b)x+(c/b)

This is in the y=mx+b form we used before, except that now the slope is -(a/b) and the y intercept is (c/b).  So, we will get the same slope if the ratio of a to b is the same for both equations and the ratio of c to b is the same for both equations.  In other words, simply choose a standard form equation and then get another by multiplying through by any number.  In general

ax+by=c

and

kax+kby=kc

will do the trick.  Here is an example.

x+y+1

2x+2y=2

Need help!!! Wil mary brainlyest!

Answers

Answer:

-17/5/11/10

=-17/5*10/11=-34/11=

[tex]3 \: \div1 \div 11[/tex]

Hope it helps

Answer:

Easy.  The answer is -3 1/11

Step-by-step explanation:

-17/5/11/10

-170/55

-3 1/11

Students voted for a new class president and the results are shown in the table.

A 2-column table with 3 rows. Column 1 is labeled Candidate with entries Rosalia, Jocelyn, Danny. Column 2 is labeled Votes with entries 124, 109, 111.

The ratios StartFraction 124 Over 344 EndFraction and StartFraction 109 Over 124 EndFraction both correctly describe the data in the table, but only the ratio StartFraction 124 Over 344 EndFraction is a fraction. Why?
A fraction should show a part-to-whole comparison.
Fractions do not compare whole amounts.
StartFraction 124 Over 344 EndFraction is a ratio, but StartFraction 344 Over 124 EndFraction is not.
The top number of a ratio must always be less than the bottom number.

Answers

Answer:

A fraction should show a part-to-whole comparison./A

Step-by-step explanation:

have a good day ^^

Answer:

a. A fraction should show a part-to-whole comparison.

Step-by-step explanation:

What is 4 1/3 + 4 3/4 simplest form?

Answers

Answer:

109/12

Step-by-step explanation:

4 1/3 = 13/3

4 3/4 = 19/4

13/3 = 52/12

4 3/4 = 57/12

52/12 + 57/12 = 109/12

109 and 12 have no common factors

The dot plot shows a random sample of vertical leap heights in two different
basketball camps, Compare the mean values of the dot plota.
Click here to view the dol plot for Camp 1.
Click here to view the dot plot for Camp 2.
Compare the mean values of the dot plots.
Vertical Leap Samples
Camp
Mean
1 303 + 11
2
(Type an integer or decimal rounded to the nearest tenth as needed)
In which camp do the participants jump higher in general?
O Camp 2
O Camp 1
O Both camps are equal

Answers

Answer: 299/11=27.1

Step-by-step explanation:

x/1.5 = 4*
Help me plz

Answers

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{x}{1.5} =4\\\\[/tex]

We can multiply both sides by 1.5 to isolate x

[tex]x=4*1.5\\x=6[/tex]

Answer:

x = 6

Step-by-step explanation:

x / 1.5 = 4

x = 1.5 x 4

x = 6

Hope that helps!

Which linear inequality represents the graph below?
(0,4)
(2,4)

Answers

Answer:

c

Step-by-step explanation:

slope of red line=(-4-4)/(2-0)=-8/2=-4

eq. of red line is y-4=-4(x-0)

y=-4x+4

put x=0,y=0

0=0+4

which is true if 0<4

so y<-4x+4

The linear inequality represents the graph fr the coordinates (0,4), (2,-4) is y < -4x + 4.

What is linear inequality?

Expressions with linear inequalities compare any two values using inequality symbols like "<",  ">" , "≤" or "≥" These values could be either numerical, algebraic, or both.

Calculation for linear inequality shown by graph:

The coordinates of the straight line are  (0,4), (2,-4).

Substitute the value in equation shown in option C.

y < -4x + 4

For points (0,4), put x = 0 and find y.

y < -4×0 + 4

y = 4 , which is satisfied.

Now consider points (2, -4)

Put x = 2 in the same equation and find y.

y < -4×2 + 4

y = -4 ( which again satisfies the given value for y)

Therefore, the equation y < -4x + 4 satisfies the points given for straight line.

To know, how to find equation of line for any point?, here

https://brainly.com/question/18831322

#SPJ2

If there are 5 apples and I take 2 away how many apples do I have?

Answers

Answer:

You will have 3 apples left because 5 - 2 = 3.

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

7-2 Practice Questions
Due 02/20/211
X 72PS-11
Question Help
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all
possible sums from the 36 possible combinations when rolling two number cubes. How many times
should Tamara expect the sum of the two cubes be equal to 9 if she rolls the two number cubes
216 times?
Click the icon to view the possible sums.
The sum should be equal to 9 about
time(s).
Enter your answer in the answer box and then click Check Answer
A parts showing
Clear Al
CAS
Review progress
Question
Back
Next →
O

Answers

Answer:

24

Step-by-step explanation:

There are 36 possible outcomes when rolling 2 dice. The sums range from 2 to 12. There are 4 ways of rolling a 9: 3, 6; 4, 5; 5, 4; 6, 3.

p(sum of 9) = 4/36 = 1/9

1/9 of the rolls are expected to have a sum of 9.

1/9 * 216 = 24

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