Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.

Answers

Answer 1

Answer:

x = 7

y = 2

Step-by-step explanation:

x² - y² = 45    

(x+y) (x-y) = 45

x + y = 9   (known)

9 x  (x-y) = 45

x - y = 5

y = x-5  

x + (x - 5) = 9  (substitute)

2x = 14

x = 7

y = 2


Related Questions

I will only give points if you give me a long answer (not THAT long.). Now, what is 100 x 300. Make sure to give a long answer but not that long. So enjoy your day.

Answers

Answer:

100×300=3000

Step-by-step explanation:

hope the picture attached helps

Cameron and Cadena go out to eat for lunch. If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill?

Answers

Answer:

22.59

Step-by-step explanation:

Answer: 24.53

22.50 x 9% = Unknown = ?

22.50 x 0.09 = 2.03

22.50 + 2.03 = 24.53

Answer/ Total Cost = 24.53

Step-by-step explanation: I Hope this helps you!

what is the slope of the line that contains points (3,-9) and (-2,16) please help !!

Answers

Slope = Change in Y / change in x

Slope = (16 - -9) / (-2 - 3)

Slope = 25/-5

Slope = -5

You flip a coin 100 times in the air and find that it lands on heads 65 times. Determine the theoretical and experimental probability of landing on heads. In your final answer, include all of your calculations.

Answers

Answer:

The experimental probability --> [tex]\frac{13}{20}[/tex]

The theoretical probability --> [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Key skills needed: Experimental vs theoretical probability, Fractions

1) The first thing you need to understand is experimental probability vs theoretical probability. (Do not include this in your work!!)

- Theoretical probability is based on simple reasoning

- Experimental probability is based on the results a person gets (so the experiment you did by flipping the coin)

2) Now with this, let's start solving:

Experimental probability ---> [tex]\frac{heads}{total}[/tex] -->  You flipped the coin  a total of 100 times, so the denominator would be 100. 65 of those would be heads so 65 is our numerator. So our experimental probability is --> [tex]\frac{65}{100}[/tex] --> Both have the factor of 5, so take the factor of 5 out of the numerator and denominator and you will get --> [tex]\frac{13}{20}[/tex] Now onto theoretical probability --> [tex]\frac{heads}{total}[/tex] --> There are 2 faces of a coin, 1 side is heads, and 1 side is tails --> The total number of faces is 2, so 2 is our denominator. There is only 1 side that is heads, so 1 is the numerator. This means  --> Our theoretical probability is [tex]\frac{1}{2}[/tex]

Hope you understood and have a nice day!! :D

Answer:

Experimental Probability: 65/100 We tested the probability 100 times, 65 of those times being heads. So %65 is our experimental probability (in percentage form) of flipping a coin and landing on heads. Simplified, 13/20 is our fraction.

Theoretical Probability: 50/100 or 1/2. There are two sides to a coin, and one is heads, so the theoretical probability is 1/2. In percentage form, the probability would be %50, or 50/100.

Enter an expression equivalent to (a^9/a^3) in the form a^m

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]

Yesterday I ran 9.6 miles at an average speed of 0.4 miles per 5 minutes. How long did it take me to run the 96 miles?​

Answers

Answer:

Step-by-step explanation:

This is how we do it in college, I hope I can be of some help.

First, you multiple 9.6 miles with 5 minutes. Then, you divide your answer with 0.4 miles. Next, you cancel the two mile units because of division and then be left with 120 minutes.

9.6 miles x    5 minutes   =  48 miles x minute = 120 minutes

                      0.4 miles          0.4 miles

(-11/6) + m = -2/9
help me pls

Answers

Answer:

M= 29/18

Step-by-step explanation:

what is 11.35 divided by 0.35?

Answers

Answer:

32.43 (rounded)

Step-by-step explanation:

Answer:

32.4285714

Step-by-step explanation:

11.35/0.35=32.4285714

This is the answer however if your question has asked to round it to two decimal places the answer would be 32.43

i hope this helps

Anna saved $30 each month from babysitting for 2.75 years. She spent 75% of her savings on a computer.
How much money did Anna have left?

Answers

Answer:

45.00 is what she has left

Step-by-step explanation:

Anna has $275.5 left after buying computer.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Given that Amount saved by Anna each month = $30

Time period = 2.75 years.

1 year = 12 months

2.75 years =  2.75 years x 12 = 33 months

The Amount saved in 33 months = 33 x 30 = $990

She spent 75% of her savings.

Amount spent = 75% of 990

Amount spent = 75% x 990

Amount spent = $742.5

Amount left = Savings - Amount spent

Amount left = 990- 742.5= $275.5

Hecne, Anna has $275.5 left after buying computer.

Learn more about percentages;

brainly.com/question/24159063

#SPJ2

A roll of tape has a total length of 150 inches. What is the length of the roll of tape , in yards ?

Answers

Answer:

4.16667

Explain:

i looked it up

Answer:

4 and 1/6 yards

Step-by-step explanation:

There are 36 inches in each yard since there are 3 feet in a yard and 12 inches in a foot. if you divide 150 inches by 36 inches you get 4 yards with a remainder of 6 inches which is 1/6th of a yard

1) Solve: – 4x – 11 = 7
Pls help

Answers

Answer:

x = -9/2

Step-by-step explanation:

-4x - 11 = 7

-4x = 7 + 11

-4x = 18

x = -18/4

x = -9/2

2. What is the minimum value of of the function below
y = 2x2 – 8x + 11
O y=-3
O y = 2
O y = 3
O y = 11

Answers

What is the minimum value of of the function below y = 2x2 – 8x + 11 O y=-3 O y = 2 O y = 3 O y = 11

Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars.​

Answers

Given:

The equation is

[tex]3.6y+7.5x=21600[/tex]

where, y is the number of cars and x is the number of trucks shipped.

To find:

The number of trucks that can be shipped if there are no cars.​

Solution:

We have,

[tex]3.6y+7.5x=21600[/tex]

If there are no cars in the cargo ship, then y = 0 because y is the number of cars.

Putting y=0 in the given equation, we get

[tex]3.6(0)+7.5x=21600[/tex]

[tex]0+7.5x=21600[/tex]

[tex]7.5x=21600[/tex]

Divide both sides by 7.5.

[tex]x=\dfrac{21600}{7.5}[/tex]

[tex]x=2880[/tex]

x is the number of trucks shipped.

Therefore, the number of trucks that can be shipped if there are no cars is 2880.

h(t)=- 16t^2 +16t+12 zeros of the parabola

Answers

Step-by-step explanation:

h(t) = -16t² + 16t + 12

h(t) = -4(4t² - 4t - 3)

h(t) = -4(2t - 3)(2t + 1)

When h(t) = 0, we have t = 1.5 or t = -0.5.

Hence the zeroes are 1.5 and -0.5.

Determine the sum of the areas of the three triangles shown above.

Answers

I will be there at the same time I don't hear

Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent?

Answers

The x represents 90.

Jack is making bread dough. One recipe requires 3/4 cup of flour and 1 1/8 tap of salt. If he wants to triple the recipe,how much of each ingredient will he need

Answers

Answer:

jack would need 2 1/4 cups of flour and 3 3/8 taps of salt

Step-by-step explanation:

Answer:

3 and 3/8  tap of salt and 2 and 1/4 cups of flour

Step-by-step explanation:

Calculate the slope represented by the table.

Answers

Answer:

y=2x-3

Step-by-step explanation:

I hope that helped

Use the given similar triangles to find the value of x
I need the answer fast please!!

Answers

Answer:

I believe the answer is x=7

Step-by-step explanation:

3x and 4x-1 are corresponding sides and so are 14 and 18.

You cross multiply with the smaller triangle lengths at the top.

3x/(4x-1)= 14/18

Cross multiply to get

18(3x)= 14(4x-1)

54x=56x-14

Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)

you get 14=2x and divide 14 by 2 to get x=7

Plsssss Help!!!
Determine whether each statement is true or false given the linear functions modeled by table A table and table B.

Answers

T F T

Step-by-step explanation: JUST DID THE TEST

A recipe for 2 dozen of Mr.M’s cookies calls for 2 1/2 cups of chocolate chips. He is making 6 dozen cookies. How many cups of chocolate chips does he require? Simplify you answer

Answers

24a=2.5
a=(5/48)
y=(5/48)x
y=(5/48)*72
y=7.5 or (15/2)

Find the value of A in each cases:
- cosA=√3/2​

Answers

Answer:

  A = [tex]\frac{5\pi }{6}[/tex]

Step-by-step explanation:

Given that Cos A = [tex]-\frac{\sqrt{3} }{2}[/tex]

                cos A = [tex]cos (\pi -\frac{\pi }{6} )[/tex]

                       A =  [tex]\pi - \frac{\pi }{6}[/tex]

                      A = [tex]\frac{5\pi }{6}[/tex]

Find the coordinates of the midpoint ofL(2, -4), M(4, 6)

Answers

Answer:

[tex]\displaystyle (3,1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point L(2, -4)

Point M(4, 6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [MF]:                    [tex]\displaystyle (\frac{2+4}{2},\frac{-4+6}{2})[/tex][Fraction] Add:                                     [tex]\displaystyle (\frac{6}{2},\frac{2}{2})[/tex][Fraction] Divide:                                 [tex]\displaystyle (3,1)[/tex]

simplify the following
[tex]\sqrt{98][/tex]
[tex]\sqrt{16 b^{5} }[/tex]
[tex]3\sqrt{5m} x 4\sqrt{\frac{1}{5} m3}[/tex]
[tex]\sqrt{26x2}[/tex]

Answers

Step-by-step explanation:

Simplify:

[tex]\sqrt{98} = \sqrt{49*2} = \sqrt{7^2*2} = 7\sqrt{2}[/tex][tex]\sqrt{16b^5} = \sqrt{4^2(b^2)^2b} = 4b^2\sqrt{b}[/tex][tex]3\sqrt{5mx^4} \sqrt{1/5m^3} = 3\sqrt{5*1/5*m^4x^4} = 3\sqrt{(m^2)^2(x^2)^2} = 3m^2x^2[/tex][tex]\sqrt{26x^2} = x\sqrt{26}[/tex]

Answer:

[tex]→ \sqrt{98} = \sqrt{7 \times 7 \times2} = 7 \sqrt{2}✓ [/tex]

[tex]→ \sqrt{ 16{b}^{5} }= \sqrt{4 \times 4 \times {b}^{5} } = 4 {b}^{ \frac{5}{2} } ✓[/tex]

[tex]→3 \sqrt{5 mx^{4} } \sqrt{ \frac{1}{5} {m}^{3}} = 3 \sqrt{5 \times \frac{1}{5} {m}^{4} {x}^{4} } = 3 {m}^{2} {x}^{2} ✓[/tex]

[tex] →\sqrt{26 {x}^{2} } = \sqrt{26} x✓[/tex]

i don't know how this works

Answers

1.ask a question
2.put in the amount of points the question will be worth
3.people answer the question for points
4.the more points you have the higher your rank
5.The higher your rank, the more credible your answer is

13. Blake Brown demonstrates cookware at the National Food Fair. He is paid $7.00 each for the first 10 demonstrations in one day and $8.50 for each
demonstration over 10. What is his commission if Blake makes 12 demonstrations in one day?

Answers

Blake would make $87 in one day.

Renee calculated 3/6 plus 2/4 and said the answer equaled 5/10. Amanda solved the same problem and said the answer equaled one whole. Whose answer is more reasonable?

Answers

Answer:

Amanda's

Step-by-step explanation:

Given :

3/6 + 2/4

The L. C. M of 6 and 4 = 12

(6 + 6) / 12

12 / 12

= 1

Renne's result = 5/10

Amanda's result = 1 whole

Hence, Amanda's result makes more sense.

what year was the best 2020 or 2019 lol I think we all know the answer

Answers

Answer:

2019 obviously!!!!!!!!!!

2019 because 2020 was the worst year lol

what is the decimal expansion of the following fraction 1/25

Answers

Answer:

0.04

Step-by-step explanation:

FOR 90 POINTS PLEASE HELP
QUESTION 1
If RS is 2x+15, and VW is 3x+5, and UT is 6x-37. What is RS?
QUESTION 2
Angle J is (7x+2) Angle L is (25x-14)
What is (x)

Answers

Answer:

Question 1: RS=47

Question 2: x=6

Step-by-step explanation:

Question 1:

Step 1: 3x+5=2x+15+6x-37

Step 2: 3x+5=8x-22/2

Step 3: 3x+5=4x-11

Step 4: x=16

Step 5: 2(16)+15=32+15=47

RS= 47

Question 2:

Step 1: 7x+2+25x-14=180

Step 2: 32x-12=180

Step 3: 32x=192  (divide 32 from each side)

x=6

Other Questions
Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent? Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars. f (x) = 3x^2 - 10x + 4 Juanita has saved 30% of the money that she needs to buy a new bicycle.If she has saved $36, how much money does the bicycle cost? SOMEONE PLEASE HELP A MEXICANO OUT PLEASE Did the nonviolent direct action, which King describes in his"Letter from a Birmingham Jail," successfully transformed Birmingham, Alabama from a segregated to a just society in 1963? Explain with text evidence. MAKE SURE BRO IT MAKES SENSE, AND IT HAS A GOOD SOURCE OF INFORMATION. Assume you could either open a lemonade stand near a college campus and sell 80 cups of lemonade for $.50 per cup in one day or open a stand selling brownies and sell 50 brownies in one day for $1 each. In terms of dollars, what would be your opportunity cost of selling lemonade for one day Eating nutritious food, getting enough sleep, and exercising regularly will help the endocrine system function properly. Please select the best answer from the choices provided. T F what year was the best 2020 or 2019 lol I think we all know the answer what are the top 10 death causes in America and which can be prevented through exercise and good nutritional habits Demand determines price entirely when A) demand is downward sloping. B) demand is perfectly inelastic. Use the given similar triangles to find the value of xI need the answer fast please!! How would the Geography of South America keep Cultures separate? Solve x4 - 11x2 + 18 = 0. help plese How was the Mayan form of government similar to the governments in ancient Mesopotamia? The leader was a king. The leader was a pharaoh. It was a theocracy. It was a democracy. Discuss what age group you think has been most impacted by the restrictions/lifestyle changes that have been placed on society with the pandemic (face mask, social distancing, virtual communication, etc.) Support your answer and discuss how you personally are navigating the changes. The GDP price index is multiple choice 3 computed for each industry sector. a measure of the price of a specified collection of goods and services compared to the price of a highly similar collection of goods and services in a reference year. a measure of the price of a specified collection of goods and services compared to the average of the prices of a highly similar collection of goods and services for the last 10 years. a measure of nominal GDP adjusted for inflation. d. Which of the following statements is true Read the biography and memoir excerpts below. Biography: When Wilbur was eleven and Orville seven, their father bought them a toy helicopter that sparked their interest in flight. Memoir: Late in the autumn of 1878, our father came into the house one evening with some object partly concealed in his hands, and before we could see what it was, he tossed it into the air. If the information contained in the biography were written directly by the author, which would be a likely example of the wording? A. When the boys were young, their dad bought them a toy helicopter. B. A toy helicopter purchased by the boys dad in 1878 sparked their flying dreams. C. It was the helicopter our father purchased that really encouraged us to learn to build a flying machine. D. When our father came into the house with a hidden present, we watched closely until he threw it into the air and it didnt fall. Enter an expression equivalent to (a^9/a^3) in the form a^m Document C John Milton Cooper what does the data in the table suggest about who supported the Treaty of versallies Find the coordinates of the midpoint ofL(2, -4), M(4, 6)