a. Write an expression that represents the following expression using the variable b: "Billy's age in 8 years." b. Write an equation using the expression above if in 8 years Billy will be 21 years old. c. How old is Billy now? d. Write and solve a word problem that matches the equation: a - 6 = 10.

Answers

Answer 1

a. b+8
b. b+8=21
c. b=21-8=13 Billy is 13 now
d. Ann was ten years old six years ago. How old is she now? a-6=10, a=16. Ann is 16 now.

Answer 2

Answer:

"Billy's age in 8 years", this refers to a future age, which implies adding 8 years to the present age. The expression would be:

[tex]B+8[/tex]

"In 8 years Billy will be 21 years", this expression, using the first one too, would be:

[tex]B+8=21[/tex]

How old is Billy now?

The answer to this question is the solution of the second equation:

[tex]B+8=21\\B=21-8=13[/tex]

Billy is 13 years old now.

A problem for the expression [tex]A-6=10[/tex] could be:

Six years ago Adam was 10 years old.

The six years in the past refers subtracting, and the age back then is the result of that difference.

Related Questions

If the decay of 742 mg of an isotope is described by the function A(t)= 742e-0.03t, where t is time in years. Find the amount left after 84 years. Round your answer to the nearest mg.

Answers

57.701 mg before rounding

Answer:

The amount left after 84 years is 59.70 mg.

Step-by-step explanation:

Given : If the decay of 742 mg of an isotope is described by the function [tex]A(t)= 742e^{-0.03t}[/tex], where t is time in years.

To find : The amount left after 84 years?

Solution :

The function of decay of 742 mg of an isotope is given by,

[tex]A(t)= 742e^{-0.03t}[/tex]

We have to find the amount left after 84 years.

i.e. put t=84 in the given function,

[tex]A(84)= 742e^{-0.03\times 84}[/tex]

[tex]A(84)= 742e^{-2.52}[/tex]

[tex]A(84)= 59.701[/tex]

Therefore, The amount left after 84 years is 59.70 mg.

Are the following equations parallel, perpendicular, the same line, or none of these -4x = -5y + 30
5y = -4x + 30

Answers

Answer:

parallel

Step-by-step explanation:

Compare the two ratios by entering >, < , or = in the box. 18 320

Answers

< because 320 is greater than 18

plz mark brainliest.

Answer:

1/8 is greated than 3/20

Step-by-step explanation:i took test

Which of the following lines goes downwards from left to right?
A. Y=2x+5 b. Y=2x-6
C. Y=2x d. Y=-2x+20

Answers

"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right.

y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out

Similarly choice B is eliminated as well because the slope is also m = 2

Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)

The only choice with a negative slope is choice D. The slope is m = -2

This is why the answer is choice D

Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept

find f(-5) if f(x) = ???????

Answers

f(x) = Ιx+1Ι

x = -5

Ι-5Ι = 5

so equation is 5+1

answer is 6

You randomly select 7 students from a class with 15 male and 20 female students. what is the probability that you will choose exactly 4 females?

Answers

0.3278 Use combination formula ((20C4)*(15C3))/(35C7) = 0.3278 20C4 - combinations of 4 females from 20 15C3 - combinations of 3 males from 15 35C7 - all possible combinations of 7 students from 35 students in total

Final answer:

To find the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution.

Explanation:

To determine the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution. In this scenario, we have a population of 35 students (15 males + 20 females) and we want to select a sample of 7 students. The group of interest is the females, which consist of 20 students. Since we are selecting without replacement, we need to use the hypergeometric distribution formula:

P(X = k) = (C(K, k) * C(N-K, n-k)) / C(N, n)

where:

N = total population sizen = sample sizeK = number of successes in the populationk = number of successes in the sample

Plugging in the values, we get:

P(X = 4) = (C(20, 4) * C(15, 7-4)) / C(35, 7)

Calculating the combinations, we find that P(X = 4) = 0.416

Learn more about probability here:

https://brainly.com/question/32117953

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He _______ tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

Answers

He Sampling method tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

The Central Limit Theorem tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. In practice, the distribution of the sample means approaches a bell-shape curve when n > 30. More specifically speaking, if a random variable X has a mean of µ and a standard deviation of σ, then the sample means are approximately normally distributed with a mean of µ and a standard deviation of [tex] \frac{\sigma}{ \sqrt{n} } [/tex] as the sample size increases.

A regular 40-sided polygon is rotated with its center of rotation at its center. What is the smallest degree of rotation needed to map the polygon back on to itself?

Answers

hey! the answer would be A regular 40-sided polygon has an interior angle equal to:
(40 - 2) (180) /40 = 171 degrees

The interior angle is also the smallest angle that is needed to rotate the polygon and map it unto itself. So, the smallest degree of rotation needed to map the polygon back to itself is 171 degrees.

Answer:

9 degrees

Step-by-step explanation:

i dont know what the other guy is talking about, its 360/40=9

Where is the x-intercept(s) in the graph of y = (x-1)(x+8)/(x+8)(x-6)?

Answers

[tex] \frac{(x-1)(x+8)}{(x-6)(x+8)} = \frac{(x-1)}{(x-6)} [/tex]

The x-intercepts are where the graph crosses the x-axis, in other words what x is when y = 0. This is only when the numerator is zero. After simplifying and factoring out the (x+8), y = 0 only when x = 1.

* When x = 6 the denominator is zero and the function is undefined. x = 6 would then be a vertical asymptote.

Answer:

B: 1

Step-by-step explanation:

Edge 2021

A measurement is given as the length of an onion cell is 0.4mm to the nearest tenth of a millimeter. Find the minimum & maximum possible measurements

Answers

The least number which approximates to 0.4mm to the nearest tenth is 0.35 while the largest number which approximates to 0.4mm to the nearest tenth is 0.449

Therefore, the minimum & maximum possible measurements are 0.35 and 0.449 respectively.

0.35mm-0.45mm The actual length of the onion cell must be something that rounds to .4mm. Anything lower than 0.35mm would be closer to .3mm and anything over .45 would be closer to .5mm.

A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (4072-01-01-03-00_files/i0260000.jpg), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches

Answers

A = L * W
A = 357
W = 17

357 = 17L
357 / 17 = L
21 = L <== length is 21 inches

Answer:

The correct option is: a. 21 inches

Step-by-step explanation:

The area of the rectangle is 357 square inches and width is 17 inches.

Formula for the area of rectangle is: [tex]Area= Length\times Width[/tex]

Suppose, the length of the rectangle [tex]=x[/tex] inches.

So, the equation will be.....

[tex]357=x\times 17\\ \\ \frac{357}{17}=\frac{x\times 17}{17}\ [Dividing\ both\ sides\ by\ 17]\\ \\ 21=x[/tex]

So, the rectangle is 21 inches long.

Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same number of baskets, how many baskets did each of them shoot?

Answers

Final answer:

Cliff shot 6 baskets, Lyle shot 18 baskets, and Kyle also shot 18 baskets.

Explanation:

Let's represent the number of baskets Cliff shot as C.

Lyle shot three times as many baskets as Cliff, so Lyle shot 3C baskets.

Kyle shot 12 more baskets than Cliff, so Kyle shot C + 12 baskets.

Since Lyle and Kyle shot the same number of baskets, we can set their expressions equal to each other: 3C = C + 12.

Solving this equation, we find that C = 6.

Therefore, Cliff shot 6 baskets, Lyle shot 3C = 3(6) = 18 baskets, and Kyle shot C + 12 = 6 + 12 = 18 baskets.

Learn more about mathematics here:

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How much is 1200 pounds of corn plus 25% more?

Answers

1500 because 1200/25 is 300 then you add 300 to your already 1200

Simplify:
(3-4i)(1+5i)-(2-i)

Show all of your work please

Answers

So first you want to do the multiplication.

(3-4i)*(1+5i)

So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.

Or,

3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i

Or,

3 + 15i + -4i - 20i

Then,

3 + -9i

3 - 9i - (2 - i)

Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.

3 - 9i - 2 + i

Or,

1 - 8i

WILL MARK BRAINLIEST ANSWER THIS QUESTION K

Answers

For the first question, the choice at the bottom left corner is the answer.
For the second question, the two equations that represent the system of inequalities are y < 1- 3x and y ≥ 0.5x - 1

Solve and justify each step
SHOW WORK

Solve: -4(n+5)>3n+8

Answers

-4n-20>3n+8

-7n-20>8

-7n<28
n<-4

Write an equation of the line in slope-intercept form of the line that passes through the point (-5, 1) and is parallel to the line x – 5y = 8. show your work.

Answers

-5y=-x+8
y=1/5x-8/5

y-1=-5(x+5)
y-1=-5x-25
y=-5x-24

If the product of two numbers is positive then the two numbers must both be positive true or false

Answers

false, a negetive and negetinve both equal positive

If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (round your answers to two decimal places.)

Answers

Let h = height of the box,
x = side length of the base.

Volume of the box is [tex]V=x^{2} h = 115 [/tex].
So [tex]h = \frac{115}{ x^{2} } [/tex]

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
[tex]S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x[/tex]
[tex]= 2 x^{2} + \frac{460}{x} [/tex]
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

[tex]S' = 4x- \frac{460}{ x^{2} } = 0[/tex]
[tex] 4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86 [/tex]
Then [tex]h= \frac{115}{4.86^{2}} = 4.87 [/tex]
So the box is 4.86 in. wide and 4.87 in. high.

length = 6.13 Width = 6.13 Height = 3.06 Let's use the variable L to represent the length of a bottom edge of the box. With that, the height of the box will be 115 / w^2. Since the box is open, the box will have a bottom, and 4 sides. No top. So the expression for the surface area of the box will be w^2 + 4w(115/w^2) = w^2 + 460/w Since we're looking for a local minimum, that will be at a point where the first derivative of the function is 0. So the first derivative is: 2w - 460/w^2 = 2w^3/w^2 - 460/w^2 = (2w^3 - 460)/w^2 = 2(w^3 - 230)/w^2 The above derivative has a real zero at the cube root of 230 which is approximately 6.126926 So the length of the sides of the box are 6.13 inches and the height of the box is 115/(6.13^2) = 3.06 inches.

HELP
IMPORTANT 20 POINTS

Answers

volume of tub = 20 *10*10 = 2000cm^3

2000*1/16 = 2000/16 = 125 cubic cm of ice scream left

volume of sphere = 4/3*3.14*3^2 = 37.68 / 2 = 18.84

volume of cone = 18.84

18.84 = 1/3 *3.14*r^2*h

18.84 = 9.42*h

h = 18.84 / 9.42 = 2.00 inches tall

Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.

Answers

Given that one Friday night, Roman and Malou are busy studying for their Logic exam. Meanwhile, Hadji just tweeted a picture of himself eating crispy pata and sisig. Jeff is sound asleep in his dorm room.

Part A:

The truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman has a date with Malou is True

Jeff is sleeping is True

Hadji is eating is True

Thus, the truth value of "True" or "True" or "True" is True.

Therefore, the truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.

Part B:

The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Jeff is sleeping is True

Hadji is not eating is False

Thus, the truth value of "True" or "False" is True.

Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.

Part C:

The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman and Malou are on a date is True

Jeff is sleeping is True

Hadji is not eating is False

The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.

Thus, the truth value of ("True" and "True") or "False" is True.

Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.

Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating. - True b. Either Jeff is sleeping or Hadji is not eating - True c. Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating. - False

A rental car service charges $25 to rent a car, plus $2 per mile. If x represents the number of miles driven, then the expression for the total cost to rent the car is 2x + 25. Which table shows the total cost to rent a car?

Answers

2x + 25 represents the equation for total cost with a variable of how far you drive.

The average mass of a kernel of popcorn is 0.125 g. if 1 pound = 16 ounces, and 1 ounce = 28.3 g, then how many kernels of popcorn are there in 0.500 pounds of popcorn?

Answers

Average mass of a kernel of popcorn = 0.125 g
1 pound = 16 ounces, and 1 ounce = 28.3 g
how many kernels of popcorn are there in 0.500 pounds of popcorn = ?
0.500 pound = 16 x 0.500 ounces = 8 ounces
8 ounces = 8 x 28.3g = 226.4 g
Now divide this quantity by average mass;
226.4 / 0.125
= 811.2 kernels of popcorn

Final answer:

To find the number of kernels of popcorn in 0.500 pounds, first convert the weight to grams and then divide by the average mass of a kernel. The calculation gives an approximate result of 1811 kernels.

Explanation:

To determine the number of kernels of popcorn in 0.500 pounds, we need to convert the weight from pounds to grams and then divide by the average mass of a kernel.

First, let's convert pounds to ounces. Since 1 pound is equal to 16 ounces, we have:

0.500 pounds = 0.500 x 16 = 8 ounces.

Next, let's convert ounces to grams. Since 1 ounce is equal to 28.3 grams, we have:

8 ounces = 8 x 28.3 = 226.4 grams.

Finally, divide the total grams by the average mass of a kernel:

226.4 grams / 0.125 grams = 1811.2 kernels.

Therefore, there are approximately 1811 kernels of popcorn in 0.500 pounds.

What plane contains points D, G, and H?

a. The plane that passes at a slant through the figure.
b. The plane on the bottom of the figure.
c. The plane on the top of the figure.
d. The plane on the front of the figure.

Answers

I think it is d. But I think you should check to make sure.

What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west and then 2 blocks south?

Answers

The total displacement is 2 since its last position is 2 blocks east from the initial position

The total displacement of the student is 2 block east.

We know that displacement refers to less distance that shows the difference between the starting & the final position.

Based on this,

y = 2 -2 = 0

x = 3 - 1 = 2

So, we can conclude that the total displacement of the student is 2 block east.

Learn more about the displacement here: brainly.com/question/11934397

Please help!
This graph shows the amount of rain that falls in a given amount of time.

What is the slope of the line and what does it mean in this situation?

Select from the drop-down menus to correctly complete each statement

The slope of the line is ___

This means that ___ mm of rain falls every ___

Answers

the slope is 5/2. count up 5 then go right 2. this means that 5 mm of rain falls every 2 hrs

To find the slope, we use the formula for slope,

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

Letting the point (2,5) be [tex](x_{1},y_{1})[/tex] and the point (4,10) be [tex](x_{2},y_{2})[/tex].

Now plugging in these values in the formula for slope, we get,

[tex]m=\frac{10-5}{4-2} =\frac{5}{2}[/tex]. The slope is [tex]\frac{5}{2}[/tex].

This basically means 5 mm of rain falls in every 2 hours, or 2.5 mm of rain falls every hour ([tex]\frac{5}{2} =2.5[/tex])

ANSWER: Slope is [tex]\frac{5}{2}[/tex] and 5 mm of rain falls every 2 hours.

???????????????????????????

Answers

Greetings!

We can substitute the variables, so we only have to solve for one, per eqaution
[tex]x=4y[/tex]
Therefore...
[tex]3x-2y=20[/tex]
Is also equal to..
[tex]3(4y)-2y=20[/tex]

Solve for y.
Combine Like terms.
[tex]12y-2y=20[/tex]
[tex]10y=20[/tex]
Divide both sides by 10.
[tex](10y)/10=(20)/10[/tex]
Simplify.
[tex]y=2[/tex]

Now we can use the value of y to solve the other equation.
[tex]x=4y[/tex]
Is also equal to...
[tex]x=4(2)[/tex]

Solve for x.
Combine like terms.
[tex]x=8[/tex]

The answer would be 8,2

Hope this helps.
-Benjamin

Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?

Answers

Square feet because it is an ideal unit to measure rooms.

Answer:

i think the answer would be square feet

Step-by-step explanation:

What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'

Answers

4.50+4.50=9.00=9
+
2.39+2.39=4.78
+
1.99
=
15.77

15.77-25=-9.23

What is the product of 3x(x^2+4)

Answers

Answer:

[tex]3x^3+12x[/tex]

Step-by-step explanation:

[tex]3x(x^2+4) = 3x\cdot x^2 + 3x\cdot 4 = 3x^3+12x[/tex]

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