My daughter had a quiz today and the 3 questions did not make sense to me. Can anyone decifer how you would solve for the variable on these? I am stumped!!

1) In 10 years, Sara will be 81 older than she is now. How old is Sara now?

2) In 8 years, Sara will be 49 years older than she is now. How old is Sara now?

3) In 11 years, Bob will be 100 years than he is now. How old is Bob now?

Answers

Answer 1

Answer:

1 71years

Step-by-step explanation:

x+10=81

x=71

2. x+8=49

x=41

3. x+11=100

x=99


Related Questions

Which definition best describes vertical angles?
A. A pair of angles that combine to form a straight angle
B. A pair of opposite angles formed by intersecting lines
C. A pair of angles whose sum is 90°
D. A pair of angles whose sum is 180°
SUBI

Answers

Answer:

B is the answer

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other

Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000 that earns 4% annual interest. If the total interest from both accounts at the end of the year is $535, how much has been invested in each account?

Answers

First account: $6500
Second account: $8500

Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500

XYZ ∆ where Angle Y =90° , XZ= 14 m , XY = 6 m . Find YZ ?

( Show all your workings )

Answers

[tex]4 \sqrt{10} [/tex]

Step-by-step explanation:

Use Pythagoras

A^2 + b^2 = c^2

(6)^2 + b^2 = (14)^2

36 + b^2 = 196

B^2 =160

[tex]b = \sqrt{160} [/tex]

[tex]b = 4 \sqrt{10} [/tex]

If an odd number is less than 15, then it is prime

Answers

Answer:

False

Step-by-step explanation:

To show that this is false, all we have to do is find one example.

9 is an odd number less than 15

9 is composite

9 =3*3

Plz help I’ll mark u

Answers

Answer:

SAS=side angle side

there is two side and one angle

Answer:

SAS theorem

explanation:

Need helppppppp please

Answers

Answer:

What do you need help with

Step-by-step explanation:

Two trains leave stations 192 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
11 hours

Answers

Answer:

32 miles per hour

Step-by-step explanation:

x+85+75=192 x+160=192 x=192-160 x=32..

Determine whether the point is on the graph of the equation 2x+7y=13

(-4,3)

Is (-4,3) on the graph of 2x+7y=13?

Yes or no?

Answers

Answer:

(I) yessssssssssssssssssssssss

Answer:

yes it is.

Step-by-step explanation:

i did this and it was correct

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 3% margin of error at a 99% confidence level, what size of sample is needed

Answers

Answer:

1849  

Step-by-step explanation:

Margin of error, E=0.03

Confidence level=0.99

z=2.58

No prior estimate of p is given, so consider p=0.5

Sample size required ,n=2.58^2*0.5*(1-0.5)/0.03^2

n=1849  

About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

Answers

Answer:

The standard deviation is of 8.586.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

About 9% of the population has a particular genetic mutation.

This means that [tex]p = 0.09[/tex]

900 people are randomly selected.

This means that [tex]n = 900[/tex]

Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

[tex]\sqrt{V(X)} = \sqrt{900*0.09*0.91} = 8.586[/tex]

The standard deviation is of 8.586.

) dy 2x
------ = ---------------
dx yx2 + y

Answers

Step-by-step explanation:

[tex]\dfrac{dy}{dx} = \dfrac{2x}{y(x^2 + 1)}[/tex]

Rearranging the terms, we get

[tex]ydy = \dfrac{2xdx}{x^2 + 1}[/tex]

We then integrate the expression above to get

[tex]\displaystyle \int ydy = \int \dfrac{2xdx}{x^2 + 1}[/tex]

[tex]\displaystyle \frac{1}{2}y^2 = \ln |x^2 +1| + k[/tex]

or

[tex]y = \sqrt{2\ln |x^2 + 1|} + k[/tex]

where I is the constant of integration.

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it. A Table titled Test Time, showing Number of Questions, Time per Item in minutes, and Total Time in minutes. The first row shows Multiple Choice, with m, 3, and 3 m. The second row shows Free Response, with 15 minus m, 8, and x. The third row shows Total, with 15, blank, and 55. Which value could replace x in the table? Which value could replace x in the table?

Answers

Answer:

c

Step-by-step explanation:

Answer:

c is the correct answer

The​ x-value(s) for which ​f(x)​g(x) ​is/are ___

Answers

9514 1404 393

Answer:

  x = -1, 1, 9

Step-by-step explanation:

You want x such that f(x) = g(x). Subtracting g(x) from both sides of this equation lets us rewrite it as ...

  f(x) -g(x) = 0

  x³ -9x² -(x -9) = 0

  x²(x -9) -1(x -9) = 0 . . . factor the first pair of terms

  (x² -1)(x -9) = 0 . . . . . . use the distributive property

  (x -1)(x +1)(x -9) = 0 . . . . factor the difference of squares

Values of x that make these factors zero will make f(x) = g(x):

  x = -1, 1, 9 for f(x) = g(x)

a linear model is appropriate for the data in which scatterplot.?​

Answers

Answer: (b) or 2

Step-by-step explanation: its the only one linear to the best possibility.

The house-numbers on a certain street go from 1 to 88. The function B(n) models the type of the building whose number is n according to the following key:

(GRAPH ATTATCHED)

What number type is more appropriate for the domain of B?
A. Integer
B. Real Number

What's the appropriate domain?

Answers

Hello,

Answer A

[tex]dom (B(n)) =\{0,1,2,3\} =\{ z\ in \ \mathbb{Z} \ |\ 0 \leq z \leq 4\}[/tex]

Multiply the polynomials 3(x+7) (show work pls)

Answers

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

A's salary is 50% more than B's. How
much percent is B's salary less than A's?
a. 33(1/4)% b. 33(1/3)% c. 33(1/2)% d. 33%​

Answers

Answer:

The correct answer is B. 33 1/3%.

Step-by-step explanation:

Given that A's salary is 50% more than B's, to determine how much percent is B's salary less than A's, the following calculation must be performed:

Salary A = B + 50

Salary B = 100

Salary A = 100 + 50 = 150

150 = 100

100 = X

100 x 100/150 = X

10,000 / 150 = X

66.666 = X

100 - 66,666 = 33,333

Answer:

B. 33 1/3%.

Step-by-step explanation:

Hope this helps

A circle has a circumference of 2cm. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determinec
The numerical values of the circumference and area of the circle are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.
ОО

Answers

Answer:

The numerical values of the circumference and area of the circle are equal.

Which best describes the function represented by the
table?
Х
-2
2
4
6
Y у
-5
5
10
15
O direct variation; k = 33 를
O direct variation; k = 5
- 를
O inverse variation; k = 10
direct variation; k = 1
10

Answers

Answer:

Direct variation

[tex]k = 2.5[/tex]

Step-by-step explanation:

Given

The attached table

Required

The type of variation

First, we check for direct variation using:

[tex]k = \frac{y}{x}[/tex]

Pick corresponding points on the table

[tex](x,y) = (-2,-5)[/tex]

So:

[tex]k = \frac{-5}{-2} = 2.5[/tex]

[tex](x,y) = (4,10)[/tex]

So:

[tex]k = \frac{10}{4} = 2.5[/tex]

[tex](x,y) = (6,15)[/tex]

So:

[tex]k = \frac{15}{6} = 2.5[/tex]

Hence, the table shows direct variation with [tex]k = 2.5[/tex]

Ernest bought t T-shirts. The shirts came in 6 packages. Write an expression that shows how many T-shirts were in each package.

Type an asterisk ( * ) if you want to use a multiplication sign and a forward slash ( / ) if you want to use a division sign.

Answers

Answer:

t / 6 = # of shirts in each package.

Step-by-step explanation:

total amount of shirts / total packages = # of shirts in each package

I need help solving this problem. Thanks

Answers

9514 1404 393

Answer:

  y = -4/7x +58/7

Step-by-step explanation:

The slope of the given line segment is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17 -3)/(1 -(-7)) = 14/8 = 7/4

Then the slope of the perpendicular line is ...

  -1/m = -4/7 . . . . . slope of the perpendicular bisector.

__

The midpoint of the given line segment is ...

  M = 1/2(x1 +x2, y1 +y2)

  M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)

__

The y-intercept of the bisector can be found from ...

  b = y -mx

  b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7

Then the slope-intercept form equation for the perpendicular bisector is ...

  y = mx +b

  y = -4/7x +58/7

Plzzzz Help
The cost (in dollars) of buying x pounds of a party product is given by the function

C(x) = 10x + 300.

Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.

In this situation, what is the domain of this function?

Answers

Answer:

180

Step-by-step explanation:

Given the cost (in dollars) of buying x pounds of a party product is given by the function

C(x) = 10x + 300.

Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.

To get the domain of the function, substitute C(x) =2100 and find x

2100 = 10x + 300

10x = 2100 - 300

10x = 1800

x = 1800/10

x = 180

Hence the domain of the function is 180

Which of the following is a like radical to cube rt of 7x

Answers

Answer:

[tex]\sqrt[3]{7x}[/tex]

Step-by-step explanation:

Given

[tex]7x[/tex]

Required

The radical statement

Cube root is represented as:

[tex]\sqrt[3]{}[/tex]

Considering [tex]7x[/tex], the expression is:

[tex]\sqrt[3]{7x}[/tex]

jenna is playing an online trivia game. she has 50 points and earns 2 points for each correct answer. she will advance to the next amount if her score is over 68 points. which inequality can jenna use to find how many more questions she must answer correctly to advance to the next round?

Answers

Answer:2x + 50 > 68

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

because is you skip count on two you will count on to 68 so that is why the answer is 7.

Which one is a better deal?
a 3 pack of notebooks for $4.50
Or a 12 pack of notebooks for $15.00

Answers

12 pack is a better deal

If x=3 y=5 h=9 wat is xy+h​

Answers

Answer:

24

Step-by-step explanation:

3x5=15

15+9=24

A farmer picks pumpkins from a large field. The farmer makes samples of 260 pumpkins and inspects them. If one in fifty pumpkins are not fit to market and will be saved for seeds, what is the standard deviation of the mean of the sampling distribution of sample proportions?

Answers

Answer:

[tex]\mu = 5.2[/tex]

[tex]\sigma = 2.257[/tex]

Step-by-step explanation:

Given

[tex]n = 260[/tex] -- samples

[tex]p = \frac{1}{50}[/tex] --- one in 50

Solving (a): The mean

This is calculated as:

[tex]\mu = np[/tex]

[tex]\mu = 260 * \frac{1}{50}[/tex]

[tex]\mu = 5.2[/tex]

Solving (b): The standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\mu * (1-p)}[/tex]

[tex]\sigma = \sqrt{5.2 * (1-1/50)}[/tex]

[tex]\sigma = \sqrt{5.2 * 0.98}[/tex]

[tex]\sigma = \sqrt{5.096}[/tex]

[tex]\sigma = 2.257[/tex]


51
What is the inverse of the function f(x) = 2x + 1?
Oh(x) =
1
2x-
o h«x)= kx +
- 3x-2
Oh(x) =
Oh(x) =
Mark this and return
Save and Exit
Next
Submit
Type here to search
81
O
10:49 AM
^ D 0x
mamman

Answers

Answer:

let inverse f(x) be m:

[tex]m = \frac{1}{2x + 1} \\ 2x + 1 = \frac{1}{m} \\ 2x = \frac{1 - m}{m} \\ x = \frac{1 - m}{2m} [/tex]

substitute x in place of m:

[tex]{ \bf{ {f}^{ - 1}(x) = \frac{1 - x}{2x } }}[/tex]

How and what is the value of X?

Answers

Answer:

9 =x

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

56 = 6x+2

Subtract 2 from each side

56-2 = 6x+2-2

54 = 6x

Divide each side by 6

54/6 = 6x/6

9 =x

HELP
BELP

Identify the range of the function shown in the graph

Answers

Answer:

Range = -1 ≤ y ≤ 2

Step-by-step explanation:

The function's range is the y-values the function can have as its output. -1 is the minimum y-value and 2 is the maximum y-value.

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