Joan is 5 years older than Ellen, and 3 years ago their sum of their ages is 17, in how many years will Joan be 21?

Answers

Answer 1

Answer:

7

Step-by-step explanation:


Related Questions

Open the document theres my question plss help

Answers

Answer: 55°

Step-by-step explanation:

The angle is in between 50° and 60°

Answer:

55°

Step-by-step explanation:

One ray lies on the 0° mark and the other lies on the 55° mark. To find the measure of the angle, find the difference between the greater angle and the lower angle. 55° - 0° = 55°

A town has a population of 4.11 x 104 and shrinks at a rate of 9.6% every year.
Which equation represents the town's population after 4 years?

Answers

Answer:

59304

Step-by-step explanation:

4.11x 10⁴=41100, 9.6 =( 1+9.6/100)=1.096

x(n)−population after n years

x(n)=x(0)×1.096^n=41100x1.096^n

x(4)=41100×1.096⁴=59304.007

= 59304

An equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].

Given that, a town has a population of [tex]4.11\times10^4[/tex] and shrinks at a rate of 9.6% every year.

What is population growth and population decrease formula?

If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100} )^n[/tex]

Now,

[tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex]

⇒ [tex]x(4)=4.11\times10^4(1+0.096)^4[/tex]

⇒ [tex]x(4)=41100\times(1.096)^4[/tex]

⇒ x(n)=41100×1.443

⇒ x(n)=59307.3

Therefore, an equation represents the town's population after 4 years is [tex]x(4)=4.11\times10^4(1+\frac{9.6}{100})^4[/tex].

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HEEEEEELP
Solve for x. Leave your answer in simplest radical form.

Answers

Answer:

Here is the answer hope it helps:)

Which trigonometric function does the graph below represent?

Answers

Answer:

  (d)  2sin(2θ +π/4) -1

Step-by-step explanation:

The graphed function has a midline of -1 (eliminates choice A). It will be a cosine function shifted right π/8 units, or a sine function shifted left π/8 units.

__

The shift is accomplished by replacing θ with (θ -π/8) in the sine function, or (θ +π/8) in the cosine function. That means, we're looking for an expression that is either of ...

  2(cos(2(θ-π/8)) -1 = 2cos(2θ -π/4) -1 . . . . . no match

or

  2(sin(2(θ+π/8)) -1 = 2sin(2θ +π/4) -1 . . . . . matches choice D

_____

Additional comment

In the form ...

  g(x) = K·f(C(x -A)) +B

the factor K is a vertical stretch factor, C is a horizontal compression factor, A is a right shift, and B is an up shift. In this function, we have its amplitude stretched by a factor of 2, a down shift of 1 unit, and a horizontal shift of π/8. The horizontal compression factor is 2.

__

The amount of horizontal shift for the cosine function is found at the peak nearest the y-axis. The amount of horizontal shift for the sine function is found at the upward midline crossing nearest the y-axis.

Use the table to determine the location with the greatest amount of rainfall and the location with the least amount of rainfall.

Location Amount of Rainfall
Austin, Texas 0.8687 m
Beaumont, Texas 1.534 m
Galveston, Texas 109.5 cm
El Paso, Texas 246.4 mm
Del Rio, Texas 495.3 mm
South Padre, Texas 65.5 cm

a. Using complete sentences, identify the city with the greatest amount of rainfall and the city with the least amount of rainfall, and express the ratio of their respective rainfalls as a decimal number, rounded to the nearest hundredth.
b. Describe what this ratio tells you.

Answers

The location with the greatest amount of rainfall is Beaumont, while the location with the least amount is El Paso.

How to identify the place with the greatest and least amount of rainfall?

The first step is to make sure to use the same units. Due to this, let's convert everything to meters.

Austin = 0.8687 mBeaumont = 1.534 mGalveston = 1.095 mEl Paso = 0.2464 mDel Rio = 0.4953 mSouth Padre= 0.655m

Based on this, Beaumont has the greatest amount of rainfall and El Paso has the lowest amount of rainfall.

How are the two places related?

The ratio for these places are 1.5 to 0.2 or 1.5/ 2 = 0.7. This ratio implies that there is a difference of 0.7 meters in the amount of rainfall in these places.

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The other person is right, I used this and it worked.

Simplify x = cos[2 arcsin(3/5)].

-7/25
7/25
4/5

Answers

Answer:

7/25

Step-by-step explanation:

Let [tex]\theta= \arcsin(\frac{3}{5})[/tex] so we have [tex]x=\cos(2\theta)[/tex]

As [tex]\cos(2\theta)=\cos^2\theta-\sin^2\theta[/tex], we'll have [tex]\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2[/tex]

To determine [tex]\cos(\arcsin(\frac{3}{5}))[/tex], construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since [tex]\theta=\arcsin(\frac{3}{5})[/tex], then [tex]\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, [tex]\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]. This means that [tex]\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}[/tex].

Hence, [tex]\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}[/tex]

add the numbers 197,203 and 423 in two ways ​fast​

Answers

Answer:

823

Method 1

Break the three numbers into hundreds, tens and units, then add these separately (starting with the units)

197 = 1 hundred, 9 tens, 7 units

203 = 2 hundreds, 0 tens, 3 units

423 = 4 hundreds, 2 tens, 3 units

Units: 7 + 3 + 3 = 13

Tens: 9 + 2 = 11 tens = 110

Hundreds: 1 + 2 + 4 = 7 hundreds = 700

Add these together: 700 + 110 + 13 = 823

Method 2

First add 203 to 197:

Borrow the 3 from 203 and add it to 197:  197 + 3 = 200

Add the remaining 200:  200 + 200 = 400

Now add 423 to 400:  400 + 423 = 823

⇒ 203 + 197 + 423 = (203 + 197) + 423

                                = 400 + 423

                                = 823

Collumn method

197
203
423
——
823

Method two:

Add the hundreds first:

100+200+400=700

Then add the tens:

700+90+20=810

Then add the 1s:

810+7+3+3=823

HOPE I HELPED!

The area of a square with side length of 5 cm is ___________ cm.

Answers

Answer:

25cm

Step-by-step explanation:

5 x 5 its not that hard

GIVING BRAINLIESTT!!!!

Answers

Answer:

A

Step-by-step explanation:

Slope = +1

Y-int = 2

At a pizza restaurant the cook has 144 ounces of tomato sauce. The cook uses exactly 4
ounces of tomato sauce on every pizza. How many pizzas can the cook make? How many
ounces of tomato sauce will be left over?

Answers

Answer:

36 pizzas

no sauce left over

Step-by-step explanation:

Take the total amount and divide by 4

144/4 =36

The cook can make 36 pizzas

Ther is no sauce left over

36 pizzas,
144/4=36
No tomato sauce left over

PLEASE HELP I WILL MARK BRAINLIEST PLS IT IS URGENT

It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed? Round to the nearest whole percent.

Answers

35 is 78% of 45

Sure hope this helps you

In Valentina’s piggy bank there are just as many nickels as pennies, three more dimes than nickels, and five fewer quarters than pennies. How many of each kind of coin are there if Valentina has $3.97 in her bank?

Answers

Answer: 15 dimes 12 nickels 12 pennies 7 quarters?

Step-by-step explanation:

Please answer the question

Answers

answer:
45/50

explanation:
If there are 50 numbers in a hat, and 5 of them are the number 10. 50 - 5 = 45 which means 45 of the numbers are not 10. Therefore the probability of not drawing 10 would be 45/50.

The distribution of professional baseball player salaries has a mean of $3.2 million. an analyst believes that the mean salary for teams on the east coast is different. the analyst randomly selects 50 baseball players from teams on the east coast and records their annual salaries. the mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. a significance test at an alpha level alpha = 0.05 of produces a p-value of 0.02. what is the correct interpretation of the p-value?

a. assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone.
b.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone.
c.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone.
d.assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone.

Answers

Answer:

c

Step-by-step explanation:

Use the method of completing the square to determine the exact values of x for the equation x2-8x+6=0.

Answers

Answer:

x=7.16 or0.84

Step-by-step explanation:

The solution is in the image

add 3x^2-5+1 +2x^2+9x-6

Answers

Answer:

5x² + 9x - 10

Step-by-step explanation:

To completely simplify this equation, add all like terms.

3x² - 5 + 1 + 2x² + 9x - 6

= 5x² + 9x - 10

hope this helps :)

Please give coordinates :)

Answers

The coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).

What is a system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The first equation given in the problem is,

[tex]x+y=0[/tex]

Rearrange it,

[tex]y=-x[/tex]                    .....1

The second equation given as,

[tex]-3x+4y=14[/tex]

Rearrange it,

[tex]-3x+4y=14\\4y=14+3x\\y=\dfrac{14+3x}{4}[/tex]                    .....2

Plot the graph of both the line as shown below in the attached image. In this equation the solution is the point of intersection which is (-2,2).

Thus, the coordinates of solution of the system of equation which is obtained by plotting the equation on the graph is (-2,2).

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A circle has an arc of length 36 with central angle 40°. Find the circumference of the circle.

Answers

Answer: 324.02

Step-by-step explanation:

Radius 51.57

if a six pack of soda cost 2.46 how much is one can

Answers

Answer:

one can would be about $0.41

Step-by-step explanation:

Take $2.46 and divide it by 6 because that is the number of cans in the pack, the answer is $0.41 per can.

How many whole numbers are there from 25 to 38?

Answers

Answer:

there is 13 whole number between 25 and 38

Which of the following expressions would give the number of ways to choose a group of 7 from a group
of 15?
151!/7!8!
7!/15!8!
7!15!7!

Answers

Answer:

A)  15!/(7!8!)

Step-by-step explanation:

We are looking for the combination of 7 out of 15.

This is written as

15C7

This is calculated as

15!/(7!(15-7)! = 15!/(7!8!)

Correct choice is A

Help me
Circle describe and correct each error
2-4(-8+3x)=82
-2(-8+3x)=82
16-6x=82
-6x=66
X=-11

Answers

Answer:

First you have to multiply negative four in parentheses, then add minus two

-4×(-8+3x)=32-12x

2+32-12x=34-12x

34-12x=82

-12x=48

x=-4

12. Your friend evaluates the power (-3)^2Is your friend correct? Explain.

Answers

Answer:

no

Step-by-step explanation:

(- 3)² = - 3 × - 3 = 9 ≠ -9

Answer:

no , see below

Step-by-step explanation:

when you raise a number to a power, you multiply the number by itself the amount of times the power is. so if (-3) has a power of 2 , we multiply -3 by itself twice.

so we get -3 × -3

a negative times a negative is a positive

so -3 × -3 = 9 , not -9

please i need someone to help me here​

Answers

Answer:

See below ~

Step-by-step explanation:

No place where V has been marked∠EOF = 180° - 126° = 54°∠COE = ∠BOF = 126°∡CBF = 180°∡BCD = 54° + 63° = 117°∡BEF = 180° + 54° = 234°

A linear model A. always predicts a straight line B. always predicts a curved line C. sometimes predicts a straight line and sometimes a curved line D. usually predicts a straight line

Answers

A linear model always represents a straight line which is x + y = c. Then the correct option is A.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A linear model is given as

x + y = c

In the linear model, the power of the variable is one and the equation represents on the graph as a line.

More about the linear system link is given below.

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Evelyn and her friends bought 35 grams of cinnamon. They used 3.1 grams of it to make some snickerdoodle cookies. How much cinnamon do they have left?

Answers

Answer:

31.9 grams

Step-by-step explanation:

35 - 3.1 = 31.9 grams

Hope this helped you!

pls factorize
4(2x-3)(5x+2)=0​

Answers

[tex]~~~~~~4(2x-3)(5x+2) = 0\\\\\implies (2x -3)(5x+2) = 0\\\\\implies 2x -3=0 ~~~~~~\text{or}~~~~~~ 5x +2 = 0\\\\\implies 2x =3 ~~~~~~~~~~~\text{or}~~~~~~ 5x = -2\\\\\implies x = \dfrac 32 ~~~~~~~~~~~~ \text{or}~~~~~~ x = -\dfrac 25\\\\\text{Hence,}~ x = \dfrac 32, ~ x = -\dfrac 25[/tex]

The distance between two cities on a map 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?

Answers

Answer:

70 kilometers

Step-by-step explanation:

if 1 cm is equal to 20 kilometers, then 3 cm would be 60 kilometers, and 0.5 cm would be 10 kilometers. making 3.5 cm 70 kilometers.

Dylan has 20x + 17 baseball cards. He gives 3x - 2 cards to his friend Tristan. How many cards does Dylan now have?

Answers

Answer:

17x-15

Step-by-step explanation:

I think.

Answer:

17x+19

Step-by-step explanation:

20x+17-(3x-2)  (Set up the equation)

20x+17-3x+2  (Distribute the negative to both, double negative cancel out)

17x+19   (Combine Like terms)

A sports store has a container of handballs: 4 blue, 5 red, 8 yellow 9 white and 11 green. If one ball is picked from the container at random,what is the probability that it will be yellow?

Answers

Answer:

8/37

Step-by-step explanation:

The total number of handballs in the container is

4+5+8+9+11 = 37

Since there are 8 yellow handballs, the probability of selecting a yellow handball is 8/37.

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