The sum of two numbers is 51. The difference of the same numbers is 15. What are the two numbers?

Answers

Answer 1

Answer:

33 and 18

Step-by-step explanation:

x+y=51

x-y=15

adding,

x+y=51

x-y=15

______

2x=66

x=33

33+y=51

y=18


Related Questions

What is the slope of the following points? (11,9) and (12,9)

Answers

the equation to find the slope between 2 points is

\(m=\frac{y2-y1}{x2-x1}\)

name the points

1=(11,9)

2=(12,9)

apply the formula

\(\begin{gathered} m=\frac{9-9}{12-11} \\ m=\frac{0}{1} \\ m=0 \end{gathered}\)

the slope between the points is 0.

please help !! asap the questions are the screenshots

please help !! asap the questions are the screenshots
please help !! asap the questions are the screenshots

Answers

Answer:

Dont open this file it will take all your data..

witch expressions are equivalent to k/2?

2 answers
k - 2
2/k
1/2k
k divided by 2
k+k

witch expressions are equivalent to k/2? 2 answers k - 22/k1/2kk divided by 2 k+k

Answers

Answer:

C and D

Step-by-step explanation:

\( \frac{k}{2} = \frac{1}{2} k = k \div 2\)

Answer:

c and d

Step-by-step explanation:

yes thats the answer

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Answers

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Name: Date:


Lesson 12. 01: A Fraction of the Fair


Printable Assessment: A Fraction of the Fair


A Fraction of the Fair


1. Use a line plot to represent the data in the data set. Be sure to include a title and label all tick marks.


2. What is the largest amount of snow that fell in one day?


3. What is the least amount of snow that fell in one day?


4. How many days did it snow 3 inches?


5. A new piece of data was recorded and added to the line plot. The dierence between the largest and


smallest amounts of snow is now 3. What could the new values of the data be?

Answers

Since the data set and specific values are not provided in your question, I am unable to create a line plot for you.

How we can use the line plot?

However, I can explain how to create a line plot based on the given data. To create a line plot, follow these steps:

a. Determine the range of values in the data set, i.e., the smallest and largest amounts of snowfall.

b. Draw a number line that spans the range of values.

c. Mark each amount of snowfall as a dot above the corresponding value on the number line.

d. Label each dot with the number of inches of snowfall.

e. Add a title to the line plot that describes the data being represented.

To find the largest amount of snow that fell in one day, look for the highest point on the line plot or identify the largest value from the data set.

To find the least amount of snow that fell in one day, look for the lowest point on the line plot or identify the smallest value from the data set.

To determine how many days it snowed 3 inches, count the number of dots on the line plot that correspond to 3 inches of snowfall.

If the difference between the largest and smallest amounts of snow is now 3, there are several possibilities for the new values. Here are a few examples:

a. The largest amount of snow could be 6 inches, and the smallest amount could be 3 inches.

b. The largest amount of snow could be 5 inches, and the smallest amount could be 2 inches.

c. The largest amount of snow could be 4 inches, and the smallest amount could be 1 inch.

These are just a few examples, and there can be other combinations of values that satisfy the given condition. Without further information, it's difficult to provide a more specific answer.

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PLEASE HELP WILL GIVE BRAINLIEST

SIMPLE NUMBER LINE QUESTION

PLEASE HELP WILL GIVE BRAINLIEST SIMPLE NUMBER LINE QUESTION

Answers

17 degrees celsius. Hope this helps

9. What is the slope of a line that is parallel to the line shown?
yy
(-3, 2)


(0,-2)

Answers

Answer:

the slope of a line is parallel to the line is (3,-2)

(0,2)

It would be parallel

What is the range of the function f(x) = -2x + 5 when the domain is {-5, 5}.

Answers

Answer:

{-5,15}

Step-by-step explanation:

because this function is constantly decreasing, we can get our range by looking at the endpoints:

f(-5) = 15

f(5) = -5

Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!

Answers

Answer:

\(Pr(x) = \frac{1}{6}\)

Step-by-step explanation:

Given

\(n = 30\) --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

\(S = \{1,2,3,4,5,6\}\)

And the probability of each is:

\(Pr(x) = \frac{1}{6}\)

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

\(Pr(x) = \frac{1}{6}\)

Suppose that six different experimental runs are to be made on the first day of experimentation. Of the six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run

Answers

The probability of using a different catalyst for each run is 1.

The given data can be expressed as follows: Six different experimental runs are to be made on the first day of experimentation. If six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run?

We are to determine the probability of using a different catalyst for each run, which is the probability of choosing the six catalysts from six different catalysts. Possible number of ways to select 6 catalysts from 6 = 6C6 = 1

Thus, there is only one way to select 6 different catalysts for 6 different runs. Therefore, the probability of using a different catalyst for each run is 1.

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if lemonade costs 0.52 per quart what is the cost per pint?

Answers

Answer:

0.125

Step-by-step explanation:

i think i am not sure but if i am right please mark me the brainliest

Find the solution to the system of equations.

Find the solution to the system of equations.

Answers

The solution to the system of equations, x = 7y - 3 and x + 7y = 8, is: (5/2, 11/14).

How to Find the Solution tp a System of Equations?

One way to solve a system of equations is to use substitution.

We can start by substituting the first equation into the second equation:

x + 7y = 8

(7y - 3) + 7y = 8

7y + 7y - 3 = 8

14y - 3 = 8

14y = 11

y = 11/14

Now that we know the value of y, we can substitute it back into the first equation to find x:

x = 7y - 3

x = 7(11/14) - 3

x = 11/2 - 3/2

x = 8/2 - 3/2

x = 5/2

So the solution to the system of equations is (x, y) = (5/2, 11/14)

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Find parametric equations that define the curve starting at (6,0) and ending at (7.8) as shown. Let parameter t start at 0 and end at 8 y=t (Complete the X= (Complete Dec 10 (78) a 6 5 What is equation of x?

Answers

The parametric equations that define the curve starting at (6,0) and ending at (7.8) are

\($$(x(t),y(t)) = (t+6,8t)$$\)

where parameter t varies from 0 to 1.

Find parametric equations that define the curve starting at (6,0) and ending at (7.8) as shown. Let parameter t start at 0 and end at 8 y=t (Complete the X= (Complete Dec 10 (78) a 6 5 What is equation of x?

Given information:

Start point is (6, 0).

End point is (7,8).

The curve is linear, hence we can find the slope of the line passing through (6, 0) and (7, 8).

Slope of the line:

\($$m = \frac{y_2 - y_1}{x_2 - x_1}$$$$m = \frac{8 - 0}{7 - 6}$$$$m = 8$$\)

Using point-slope form of equation of line, we get:

\($$y - y_1 = m(x - x_1)$$$$y - 0 = 8(x - 6)$$$$y = 8x - 48$$\)

Therefore, x-coordinate is given by:

\($$x(t) = t + 6$$\)

And, y-coordinate is given by:

\($$y(t) = 8t$$\)

Hence, parametric equations that define the curve starting at (6,0) and ending at (7.8) are

\($$(x(t),y(t)) = (t+6,8t)$$\)

where parameter t varies from 0 to 1.

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Rewrite 1/14x^3y + 8/14 xy^2 using a common factor

Answers

Answer:

1/14 xy (x² + 8y)

Step-by-step explanation:

common factor of the number = 1/14

common factor of letter part = xy

x³ : x = x²

y : y = 1

1/14 xy (x²


x : x = 1

y² : y = y


1/14 xy (x² + 8y)

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class passed the test?
Completed the homework
Did not complete the homework
Passed the test Failed the test
12
2
4
3

Answers

Answer:

20/27

Step-by-step explanation:

Given f(x) = 8 — x/6 evaluate f(66). Leave your answer in fraction form.

Answers

Answer:

f(66) = -3

Step-by-step explanation:

f(x) = 8 - x/6                     Substitute 66 for the vale of x and solve

f(66) = 8 - 66/6

f(66) = 8 - 11

f(66) = -3

You buy 1 shirt and 2 pair of pants for $31 Your friend buys 3 shirts and 1 pair of pants for $38

Answers

Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.

What is System of Linear Equation

A system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.

A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.

In this problem, we need to define our variables and the solve the equations.

Let;

x = cost of shirty = cost of pant

x + 2y = 31 ...eq(i)

3x + y = 38 ...eq(ii)

Solving both equations

x = 9, y = 11

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The probability distribution for the number of defective items in a random sample is as follows: x: 0 1 2 3 4 p(x) : 1 0.15 13 07 0.55
calculate:
expected value of X = ____

Answers

From the probability distribution for the number of defective items in a random sample, the expected value of X is 2.82.

To calculate the expected value of X, we need to multiply each possible value of X by its corresponding probability and sum them up.

The expected value of X, denoted as E(X) or μ, is calculated using the formula:

E(X) = ∑ (x * p(x))

where x represents each possible value of X and p(x) represents the corresponding probability.

In this case, the probability distribution for X is given as follows:

x: 0 1 2 3 4

p(x): 0.1 0.15 0.13 0.07 0.55

To calculate the expected value, we perform the following calculations:

E(X) = (0 * 0.1) + (1 * 0.15) + (2 * 0.13) + (3 * 0.07) + (4 * 0.55)

E(X) = 0 + 0.15 + 0.26 + 0.21 + 2.2

E(X) = 2.82

The expected value represents the average value or mean of the probability distribution. In this case, it represents the average number of defective items we expect to find in a random sample based on the given probabilities.

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McKenzie has a 2 quart pitcher.she fills itup two times with juice.how many cups ofjuice was she able to make?

Answers

Since McKenzie fills the 2-quart pitcher 2 times, there are a total of 4 quarts.

2 quarts × 2 times filled = 4 quarts

Recall that

1 quart = 4 cups

Since each quart is 4 cups, having 4 quarts is equivalent to

4 quarts × 4 = 16 cups

Therefore, there are a total of 16 cups of juice that was made.

Determine the equation of the circle with radius \(111\) and center (9,5)

Answers

The equation of the circle with a radius of 111 and a center at (9, 5) is:

To determine the equation of a circle, we use the standard form equation:

\((x - h)^2 + (y - k)^2 = r^2\)

Where (h, k) represents the center coordinates of the circle, and r represents the radius.

In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:

(x - 9)^2 + (y - 5)^2 = 111^2

Expanding and simplifying further:

\((x - 9)^2 + (y - 5)^2 = 12321\)

Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:

(x - 9)^2 + (y - 5)^2 = 12321

This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.

To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.

It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.

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Maya runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes

Answers

Answer:

10.5 miles

Step-by-step explanation:

What is 46x15?? Thank you so much!

Answers

Answer:

i think its a uhhh i think its a carrot..

Step-by-step explanation:

josh markets buys bicycles for $38 and sells them for $95. What is the percent of increase in the price?

Answers

Answer:

150%

Step-by-step explanation:

(95 - 38)/38 x 100

57/38 x 100

1.5 x 100 =

150 percentage change

Hope this helps :)

3x + 4y = -4
y = ax + b

Answers

Answer:

3x + 8y = 0

Step-by-step explanation:

Which of the following statements are true about correlation? a) It describes the strength of any relation between two variables b) It always takes on values between 0 and 1 c) It quantifies the strength of the linear relationship between two variables d) It always takes on values between −1 and 1 e) Both c and d

Answers

Correlation is the measurement of the association between two variables. The following statements are true about correlation:1) It describes the strength of any relation between two variables:This statement is correct since correlation tells us about the degree of the relationship between two variables.2) It always takes on values between 0 and 1:

This statement is incorrect. Correlation coefficients can range from -1 to +1, not just 0 to 1.3) It quantifies the strength of the linear relationship between two variables:This statement is correct. Correlation measures the degree to which two variables are linearly related.4) It always takes on values between −1 and 1:This statement is correct. Correlation coefficients can range from -1 to +1.5) Both c and d: This statement is correct since both statements C and D are correct.

Correlation coefficients measure the strength of the linear relationship between two variables, with values ranging from -1 to +1, where negative correlations indicate a negative association between two variables, positive correlations indicate a positive association between two variables and the value of zero represents no association between two variables.

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what is -1/3(y-x) expanded​

Answers

the answer is x-yx3

Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On Monday she read 1 and 1 over 3 hours, Tuesday she read 3 over 4 of an hour and Thursday she read 3 hours. How many total hours does she still need to read in order to get full credit?

Answers

Given:

She is required to read a total = \(10\dfrac{5}{6}\) hours a week.

Monday she read \(1\dfrac{1}{3}\) hours.

Tuesday she read \(\dfrac{3}{4}\) of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = \(10\dfrac{5}{6}\) hours a week.

Total time she already read \(=1\dfrac{1}{3}+\dfrac{3}{4}+3\) hours

                                              \(=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3\) hours

                                              \(=\dfrac{4}{3}+\dfrac{3}{4}+3\) hours

                                              \(=\dfrac{16+9+36}{12}\) hours

                                              \(=\dfrac{61}{12}\) hours

Now,

Remaining time = Total time - Total time she already read

                         \(=10\dfrac{5}{6}-\dfrac{61}{12}\)

                         \(=\dfrac{65}{6}-\dfrac{61}{12}\)

                         \(=\dfrac{130-61}{12}\)

                         \(=\dfrac{69}{12}\)

                         \(=\dfrac{23}{4}\)

                         \(=5\dfrac{3}{4}\)

Therefore, the required time is  \(5\dfrac{3}{4}\) hours.

find the future value of $750 deposited each month at 3.25% for 15 years

Answers

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

A quadratic equation has the solutions x- -5 and x=4 What are the x-intercepts of the graph of the function?

Answers

Answer:
(-4, 0) and (1, 0)

Step-by-step explanation:
"Solutions" in this case have the same numeric values as do "x-intercepts."
If x = -4 is a "solution" of this quadratic equation, then (-4, 0) is the corresponding x-intercept. Likewise, if x = 1 is a solution, then (1, 0) is the corresponding x-intercept.

what is y=-x-4 if x=-2

Answers

Answer:

-2

Step-by-step explanation:

The answer is -2

Explanation:

First of all we need to identify the problem.

Y= -X-4

We can tell already from this that the X is going to be negative.

If X=-2

Now we can change the problem to:

Y= -2-4

And can even change it to

-2-4

Well the way I learned it

A negative number minus a negative number is a negative number

A positive number minus a positive number is a positive number

Simple Right?

So what's a negative number minus a positive number?

Its a negative number!

So the answer is -6

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