The sum of two positive integers is 40. When the smaller integer is subtracted from twice the larger, the result is 41. Find the two integers.

Answers

Answer 1

Answer:

13 and 27

Step-by-step explanation:

x+y=40

x- smaller

2y-x=41

x=2y-41

Now to plug it into our first equation:

3y-41=40

3y=81

y=27

x=13


Related Questions

The shelf life of a packed food follows a normal distribution, with a mean of 60.5 days and a standard deviation of 7.2 days. Rounded to the nearest hundredth, what is the probability that a package lasts fewer than 50 days?

Answers

Answer:

[tex]P(X<50)=P(\frac{X-\mu}{\sigma}<\frac{50-\mu}{\sigma})=P(Z<\frac{50-60.5}{7.2})=P(z<-1.46)[/tex]

And we can find the probability using the normal standard distribution or excel and we got:

[tex]P(z<-1.46)=0.0721[/tex]

Step-by-step explanation:

Let X the random variable that represent the shelf life of packed food of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(60.5,7.2)[/tex]  

Where [tex]\mu=60.5[/tex] and [tex]\sigma=7.2[/tex]

We are interested on this probability

[tex]P(X<50)[/tex]

For this case we can solve this problem with the z score formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

If we apply this formula to our probability we got this:

[tex]P(X<50)=P(\frac{X-\mu}{\sigma}<\frac{50-\mu}{\sigma})=P(Z<\frac{50-60.5}{7.2})=P(z<-1.46)[/tex]

And we can find the probability using the normal standard distribution or excel and we got:

[tex]P(z<-1.46)=0.0721[/tex]

Find the 23rd term of this sequence -25,-15,-5,5....

Answers

Answer:

195

Step-by-step explanation:

To find the 23rd term of this sequence, we can use the arithmetic sequence formula [tex]a_{n} =a_{1} +(n-1)d[/tex] where,

[tex]a_{n}[/tex] = [tex]n^{th}[/tex] term

[tex]a_{1}[/tex] = first term

[tex]n[/tex] = term position

[tex]d[/tex] = common difference

[tex]a_{23}=-25+(23-1)10[/tex]

[tex]a_{23} =195[/tex]

ok so I must be stupid but pls help

Answers

Your not stupid- Hahahaha

It is A and D

They both have a volume of 80

Brainliest). The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right traingle formed with the radius and the height of the cone. Question1) Sketch the roof of the castle tower. Label the known lengths as described and label the unknown length as x. (Question2) What is the slant height of the roof?. MAKE SURE YOU SHOW YOUR WORK. WILL MARK BRAINLIEST. For question B) you need to use the radius and you need to show your work. Will Mark Brainliest. ​

Answers

Answer:

I THINK THE SLANT IS 14M (sorry if i'm wrong)

Step-by-step explanation:

What are the leading coefficient, constant term and degree, if any, of the algebraic expression (x-1)(x^2 +1)
a.
leading coefficient: 1; constant term: -1; degree: 3
c.
leading coefficient: 1; constant term: 1; degree: -3
b.
leading coefficient: -1; constant term: 1; degree: 3
d.
none, expression is not a polynomial


Please select the best answer from the choices provided

A
B
C
D

Answers

The answer it D because there is no 3 for the expression

6×3/16
fraction in simplest form​

Answers

Answer:

9/8

Step-by-step explanation:

Answer:

[tex]\frac{9}{8}[/tex] or [tex]1\frac{1}{8}[/tex]

Step-by-step explanation:

6x3/16 equals 18/16 divide by 2 equals 9/8 or 1 1/8

Please help. The correct and best answer gets brainiest! 29 points!!
(please make sure you are correct and show your work, no guessing)

Answers

Answer:(15, 100)

Step-by-step explanation:

first find the coordinates of the point above (3, 20)

you just look at the x axis and where the point is in this case x would be 6 and then you find y which would be 40

so the coordinate would be (6, 40)

now subtract (6, 40) by (3, 20)

6-3= 3

40- 20= 20

you get the first coordnites which is what you add (12,80) to

12 +3= 15

80+ 20= 100

you get the coordinates (15, 100)

What is the slope of the line that passes through the points (6, 4) and (3,8)?

Answers

Answer:

-5/3

Step-by-step explanation:

you have to do slope formula

Can someone help with the following question. Explain why it's the answer

Thank you.

Answers

I think it’s A

Because B and D are equations and C has a less than sign.

Combine the like terms to create an equivalent expression:
−3x-6+(-1)

Answers

Answer:

-3x-7

Step-by-step explanation:

The like terms here are -6 and -1. When we add the two, we get -7. Therefore, the answer is -3x-7. Hope this helps!

(01.01)

Evaluate 9 − 3 ⋅ 2 + 4. (1 point)

Group of answer choices

Answers

Answer: 7

Step-by-step explanation: 9-3•2+4

9-6+4

=7

2. Why was Susan Weiss' work not


considered important?

Answers

Answer:

she was a woman.

Help asap . thank youu

Answers

Answerr:turturtyuturtyurtyurtujj

Step-by-step explanation:

hmhmhgmfgjrtyhetyhtrhtrthrtngjthgfrtyu

Answer:

No

Step-by-step explanation:

If you graph the line, you will get an exponential function


Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3

Answers

Answer:

It is inverted and shifted down 3 units.

Red is f(x) = x^2

Purple is f(x) = -x^2 -3

Step-by-step explanation:

is the relation a function?
please help.

Answers

Answer:

Yes

Step-by-step explanation:

A function has one input (x-value) per output (y-value).

In other words, a relation that does not repeat any x values is a function.

{(3,4) , (5,0) , (2,4) , (-5,-5)}

The domain of the relation is:

{-5,2,3,5}

Since none of the numbers repeat in the domain, the relation is a function.

Allison currently has a balance of $2,300 in her checking account. She deposits a $345
paycheck, a $30 rebate check and a personal check for $600 into her checking account. She
withdrawals $350 in cash. How much will she have in her account after the transaction?

Answers

Answer:

2925

Step-by-step explanation:

2300 starting

Deposit means add

2300+ 345+30+600 =3275

Withdrawal means subtract

3275-350 =2925

She has 2925 in the account

I just need a bit more clarification (just checking if my answer is right)
I put: C
But I just want more clarification.

Answers

Answer:

I think it's right. you should be fine

Which point is located at (6,2)?

A) A
B) E
C) K
D) R.
help like now plz​

Answers

Answer:

A

Step-by-step explanation:

Maria has 7 gal of water Mike has 23 qt of water. How many more pints of water does Maria have then Mike

Answers

Answer:

i think 10

Step-by-step explanation:

there is 8 pints in 1 gallon and 2 pints in 1 quart so that means in 23 quarts theres 46 pints and in 7 gallons there is 56 so 56-46 is 10 if that is what the question is asking lmk if the question is wrong

How many times were you able to transfer any contents of the cone into the cylinder? What comparison can you make between the volume of the cone and the volume of the cylinder?​

Answers

I do not know the last question but I know the first it is4 time I hope I am right

Which is the graph of g(x) = [x+3]

Answers

Answer:

Option D

Step-by-step explanation:

The graph of g(x) = ⌈x + 3⌉ is the graph of the parent function h(x) = ⌈x⌉ that has been shifted to the left 3 units.

The correct choice is D

pls help i give u brainliest and 5 stars

calculate the surface area of a solid box in the shape of a cube with side length 1cm ​

Answers

Answer:

6 cm ^2

Step-by-step explanation:

Answer:

The surface area is 6 cm².

Step-by-step explanation:

Given that a cube has side lengths all the same. Then you have to use surface area formula, S.A = 2(length×width) + 2(length×height) + 2(width×height) :

Let length = 1cm,

Let width = 1cm,

Let height = 1cm,

[tex]s.a = 2(1 \times 1) + 2(1 \times 1) + 2(1 \times 1)[/tex]

[tex]s.a = 2 + 2 + 2[/tex]

[tex]s.a = 6 \: {cm}^{2} [/tex]

Explain how to graph the point (6,4) on a coordinate plane.

Answers

Answer:

here is how

Step-by-step explanation:

the x (6) is the horixontal ways on the co-ordinate plane. you go right until you reach the six. the y (4) is vertical. take the point that is on 6,0. and move it up until you see it on 4. now you have the coordinates 6,4.

PLEASE HELP ME ILL GIVE BRANLIEST!!! (and 50 points!)

A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?

Answers

Answer:

x = the 50c cleanser

y= the 80c cleanser

x= 1400 liters

y=600 liters

I'm pretty sure this is right

4. Francisco says, "36 is 75% of 48." Is Francisco correct or incorrect?
Show your reasoning using a Tape Diagram."

Answers

Answer:

see below

Step-by-step explanation:

Is means equal and of means multiply

36 = 75% * 48

36 = .75* 48

36 = 3/4* 48

36 =36

Using the tape diagram

Divide 48 into 4 pieces

12    12     12    12

Then circle 3 of them

12  +12 + 12

36

Answer:

Correct

Step-by-step explanation:

75% of 48

75/100 × 48

3/4 × 48

36

Divide the tape of length 48 units into 4 parts, 3 parts add up to 36

3 is what percentage of 5

Answers

Answer:

60%

Step-by-step explanation:

is means equals and of means multiply

3 = P * 5

divide each side by

3/5 = P

.6 = P

Change to a percentage by multiplying by 100

60%

Answer: 60%

Step-by-step explanation:

3/5 * 100

3 * 20

someone plz answer this

Answers

C is the correct answer

Answer: a

Step-by-step explanation:

It is translation from pqr

Plz, answer this question I need help. I'll mark you as brainliest and give you 5 stars.

Answers

Answer:

pretty sure its D but idk

Step-by-step explanation:

For which values of x is the function
Y=x+4/(x+5)(x+11)
not defined? Select all that apply.

-4
5
-5
11

Answers

Answer:

x = - 5, x = - 11

Step-by-step explanation:

Given

y = [tex]\frac{x+4}{(x+5)(x+11)}[/tex]

The denominator cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the values that x cannot be, that is

(x + 5)(x + 11) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 11 = 0 ⇒ x = - 11

Thus

x = - 11 and x = - 5 are excluded values.

PLS NEED HELP ASAP WITH TRIG NEED TO SHOW FULL WORK

Answers

Answer:

10ft

Step-by-step explanation:

Answer:

14.4 m

Step-by-step explanation:

let the height of the tower from line of sight be x, then

tan23° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{30}[/tex] ( multiply both sides by 30 )

30 × tan23° = x , thus

x ≈ 12.7 m

Total height of tower = 12.7 + 1.7 = 14.4 m ( to the nearest tenth )

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