The sum of two numbers is 15 and the difference is 4. Let the two numbers be x and y.
Write down a pair of simultaneous equations involving x and y. Solve the equations.

Answers

Answer 1

Answer:

x=9.5 and y=5.5

Step-by-step explanation:

x+y=15

x-y=4

add

2x=19

x=9.5

y=15-9.5

y=5.5

x=9.5 and y=5.5


Related Questions

number of heads: 0,1,2,3 Frequency: 16,38,34,12 Find the median​

Answers

Answer:

the median of 0 1 2 3 16 38 34 12 is 9.5

Solve
-12 + 23

A. -35

B. -11

C. 11

D. 35

Answers

Answer:

C. 11

Step-by-step explanation:

This can be rewritten as

23 - 12

This is equal to 11.

Answer:

11

Step-by-step explanation:

-12 + 23 = 11

since the 12 is negative subtract it from 23 and you get 11 as your answer

How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?

Answers

Answer:

30x t 78

Step-by-step explanation:

URGENT: HELP ME WITH THE MATH PROBLEMS!!

(Note This Needs To Be Done Tonight!)

Answers

Answer:

1. 3 and 1/5 improper: 11/15

2. 3 and 3/4 improper: 15/16

3. 1 and 2/3 improper: 5/6

4. 2 and 1/2 improper: 5/6

5. 3 and 2/10 improper: 32/40

6. 3 and 3/9 improper: 30/36

7. 1 and 2/6 improper: 8/12

use the correct trig function to find the value of x. SOH, CAH, TOA​

Answers

Answer:

About 11.025

Step-by-step explanation:

[tex]\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025[/tex]


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Answers

Answer:

Its C (Third Multiple Choice Answer)

Step-by-step explanation:

The reason being that x + 1 / 2 (6x - 4) = 6 is the way it is instead of the first step being x + 6x / 2 - 4 / 2 = 6 is because it is using legal manipulation by multiplying the 1 / 2 out.

Math:

First

2 * (x + 1 / 2 (6x - 4) = 6 * 2 [In this case the x gets multiplied by 2 and multiplies 2 to the other side as well. The reason why it isn't a Distributive Property in the first place is because we are using multiplication only and the equation is not 1 / 2 (6x - 4).

Then

2x + 6x - 4 = 12 will then equal to 8x - 4 = 12 which is adding like terms

Thirdly

(+ 4) + 8x - 4 = 12 (+ 4) [The parenthesis is to identify that the 4 is positive]

will then turn into 8x = 16

Finally

By dividing 8 on both sides of the previous equation

8x / 8 = 16 / 8 equaling x = 2.

Please answer the question on the following screenshot

Answers

Answer:

E

Step-by-step explanation:

2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).

Answers

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

What is the slope of any line that is perpendicular to the line that contains the points (8,8) and (12,12)

Answers

Answer: 1

Step-by-step explanation:

12-8=4

12-8=4

4 over 4 is 1

if it perpendicular then it's the opposite reciprocal

hope that help

Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?

Answers

Answer: 63 votes

Step-by-step explanation:

Simply multiply 81 by 7/9 to get the answer, 63 votes.

Hope it helps :) and let me know if you want me to elaborate.

63

Step-by-step explanation:

(7/9) x 81 = 63

please look at the pic!

Answers

The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))

Thus, we have

x | p(x) | xp(x)

3 | 0.14 | 0.42

6 | 0.05 | 0.3

9 | 0.36 | 3.24

12 | 0.35 | 4.2

15 | 0.10 | 1.5

Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66

The last option is correct.

2 short questions 20 POINTS

Answers

Step-by-step explanation:

13.

oh, come on !

you never had and solved the situation "one piece costs that much, how much will be 2 or 5 or 10 of them ?"

it is a simple multiplication.

and hence the answer B.

the first hint is already in the table with 1 pizza costing $5.25.

2 pizzas are then 2×$5.25, 3 pizzas 3×$5.25, ...

so, the cost c = number of pizzas × $5.25

or short

c = p×5.25 or 5.25p

14.

the domain is the interval or set of valid values for the input variable (x) of a function/relation.

and the range is the interval or set of valid values for the result variable (y) of a function/relation.

so, the domain is the set {-3, -1, 0, 1, 3}.

and the range is the set {-4, 0, 2, 4}.

In mathematics, a function is a binary relation between two intervals or sets that associates each element of the first interval/set (domain) to exactly one element of the second interval/set (range).

and that's what is done here.

it is a function.

each value of x is associated exactly with 1 result value of y.

a y value can be associated with more than one x value - no problem.

but no x value can have more than one associated y value - otherwise that would break the principle of a function.


The graph of the function f(x) = (x + 2)(x + 6) is shown
below.
Which statement about the function is true?
O The function is positive for all real values of x where
x>-4.
6
14-
O The function is negative for all real values of x where
-6 < x < -2.
The function is positive for all real values of x where
x <-6 orx > -3.
O The function is negative for all real values of x where
x < -2.
24
-2
2
4
6
х
4

Answers

Answer:

The function is negative for all real values of x where

-6 < x < -2.

Step-by-step explanation:

f(x) = (x +2)(x + 6)

 x + 2 = 0    or   x + 6 = 0

x = -2     or x = -6

 After graphing the function is negative between -6 < x < -2

The true statement about the graph is (a) The function is negative for all real values of x where -6 < x < -2.

The equation of the function is given as:

[tex]f(x) = (x + 6)(x + 2)[/tex]

From the graph, we have the following highlights

The values of the function decreases from negative infinity till x = -4The values of the function increases from x = -4The values of the function is negative for x = -6 to x = -2

The above means that:

The function is negative for all real values of x where -6 < x < -2.

Hence, the true statement about the graph is (a)

Read more about quadratic graphs at:

https://brainly.com/question/7988424

What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane?

Answers

Answer: 15.00 units

Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2

The distance between the two points is 15 units

calculate lim F(X)
[tex] {x }^{2} + 1 - 3 \frac{ ln(x) }{x} [/tex]

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's the step:

[tex]x^2+1-3\frac{In(x)}{x}[/tex]

[tex]Mutiply[/tex] [tex]by:[/tex] [tex]3[/tex]

[tex]. \frac{In(x)}{x} :\frac{3In(x)}{x}[/tex]

[tex]= x^2+1-\frac{3In(x)}{x}[/tex]

ANSWER:

[tex]= x^2+1-\frac{3In(x)}{x} .[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

A cubic function is a function that has a power of 3, and three real roots.

The cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

The parent cubic function

[tex]\mathbf{f(x) = x^3}[/tex]

A transformed function of the cubic function may be

[tex]\mathbf{g(x) = -x^3}[/tex]

g(x) means that function f(x) is reflected across the y-axis.

The rule of this transformation is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{g(x) = -f(x)}[/tex]

Substitute x^3 for f(x)

[tex]\mathbf{g(x) = -x^3}[/tex]

Hence, the cubic function is [tex]\mathbf{g(x) = -x^3}[/tex], and the transformation is a reflection across the y-axis

Read more about cubic functions at:

https://brainly.com/question/20896994

Is the ordered list 26, 39, 52, 65, 78 an arithmetic sequence?

Answers

Answer:

Yes

Step-by-step explanation:

It is an arithmetic sequence since it has a common difference which is 13.

78-65 = 13

65-52 = 13

52-39 = 13

39-26 = 13

In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?

Answers

Using the concept of place value, the digit 4 is 200 times greater than the digit 2.

Given the number :

4325

The digit 2 is in the tens place = 2 × 10 = 20

The digit 4 is in the thousand place = 4 × 1000 = 4000

The number of times greater can be obtained thus :

4000 / 20 = 200

Hence, the digit 4 is 200 times greater than the digit 2.

Learn more : https://brainly.com/question/14760328

A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Radius is half of diameter. So the radius of the circle is 6 in.

The formula for getting the area of circle is:

A = π[tex]r^{2}[/tex]                                π = 3.1416

A = (3.1416)(6)[tex]^{2}[/tex]

A = (3.1416)(36)

A = 113.09 square inches

population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million

Answers

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps.

The difference of twice a number and 7 is 20. Find the number.

Answers

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

Ellen solved the equation x2−5=59 using the following steps.

Review her work carefully, and then follow the instructions.

Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?

Answers

Answer:

c

Step-by-step explanation:

In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.


If I paid 1/7 of the total bill and the remainder of the bill was $114, how much did I pay?

l

Answers

See answer attached in photo. I drew it out

When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that question, what is the total number of people who were polled?

Answers

Answer:

i think its 200

Answer:

200people

Step-by-step explanation:

28 percent=56people100=?100 multiplied by 56=5600 5600 divide by 28=200

Emmalie is 32 inches tall. If her brother Joshua was 3.5 inches taller, he would be exactly twice Emmalie's height. How tall is Joshua? Enter your answer as a decimal in the box.

Answers

Answer:

60.5in

Step-by-step explanation:

32(2) - 3.5 = 60.5

Answer:

HERES ALL THE QUIZZES ANSWERS!

Question One/1:

9.5(w+5.7)=77.9

Question Two/2:

The scuba diver is 27 feet below sea level.

Question Three/3:

25.50

YOUR QUESTION: Question 4:

60.5 inches (in)

Question Five/5:

58 3/4 (mi)

Step-by-step explanation:

k12

MATH,

MIDDLE SCHOOL,

7TH GRADE,

HALFWAY.

YOU'RE SO WELCOME!

sorry, caps lol.

PHOTOS TOO!

(Crown?)

(i appreciate it!)

Thanks, bye!

I need a help.... thankyouu to those who can ans. this:))

A. BSA Method
B. Clark's Rule

(20 points)​

Answers

A

Step-by-step explanation:

just trust me that is the correct answer

Which is the verbal expression for 11 - 2/n?


Answers

Answer:

(a.)

Step-by-step explanation:

(we talked abt it in the comment haah)

Solve the inequality. 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) please help

Answers

Hope this helps!!!!!!!!!!!!

A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is

53(2x + 2) – 10 ≥ 2x + 2(23x + 2)

Apply the distributive property

106x+106-10≥ 2x + 46x+4

Add the like terms

106x+96≥ 48x+4

Take all common variables on one side

106x-48x≥4-96

106x-48x is 58 and 4 minus 96 is minus 92.

58x≥-92

x≥-92/58

Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

To learn more on Inequalities click:

https://brainly.com/question/28823603

#SPJ5

PLEASE HELP ILL GIVE BRAINLIEST


Matt ate 2005 calories. The next day he ate 1920 calories. What is the percent change in the number of calories from day 1 to day 2?​

Answers

Answer:

85%

Step-by-step explanation:

Susie catches 15 butterflies and lets 6 butterflies go for three days in a row

Answers

What is she doing with the butterflies she kept…..

Answer:

Sorry don't report pls I need the points

Step-by-step explanation:

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