1. The sum of two numbers is 20.5. Their
difference is 6.5. Find the two numbers.

Answers

Answer 1

Answer:

13.5 and 7

Step-by-step explanation:

x + y = 20.5

× - y = 6.5

Hence,

x =20.5 - y

20.5 - 2y = 6.5

Hence,

2y = 14

and x = 20.5 - 20.5 - 7 = 13.5

Hope that helps :))

Answer 2

Answer:

The two numbers are 7 and 13.5

Step-by-step explanation:

Let the two numbers be x and y

Make 3 equations (for system of equation and substitution method)

Equation 1. x - y = 6.5

Equation 2. x = 6.5 + y

Equation 3. x + y = 20.5

Use the value of x in equation 2 to substitute x in equation 3.

6.5 + y + y = 20.5

Combine like terms

6.5 + 2y = 20.5

- 6.5 on both sides

2y = 14

Divide both sides by 2 to isolate y

y = 7

Substitute y in equation 3 to find x

x + 7 = 20.5

x = 13.5

Hope this helps :)

Have a great day!


Related Questions

NEED HELP QUICK!!


This circle is centered at the point (2,6), and the length of its radius is 7. What is the equation
of the circle?

Answers

Answer:

(x - 2)² + (y - 6)² = 49

Step-by-step explanation:

Equation of a circle formula:  (x - a)² + (y - b)² = r²

where (a, b) is the center of the circle and r is the radius

Given, center = (2, 6) and radius = 7

Substitute this information in the equation of a circle formula.

⇒ Equation of the circle:  (x - 2)² + (y - 6)² = 49

which expression is equivalent to 12^-5 times 12^9?
a. 1/12^-45
b. 12^-45
c. 1/12^4
d. 1/12^-4

Answers

Answer:

D.  1/12^-4

Step-by-step explanation:

[tex]12^{-5}*12^{9}[/tex]

Since both exponents have the same base, we can add the exponents to get:

[tex]12^{-5+9}=12^{4}[/tex]

We can cross out A and B since they multiplied the two exponents, therefore both answers are wrong.

Now, let's try C and D.

C is wrong because it has a different base being raised to the same power.

D is correct. When you have a negative exponent, it is equivalent to the reciprocal of the base to the positive exponent.

The reciprocal of 1/12 is 12, and the positive of -4 is 4, therefore the answer is D.

Answer:

12^14

Step-by-step explanation:

It's the correct answer

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

Can't see answer it's blank

Step-by-step explanation:

Write the function represented by the table in f (x) = a • b ^x form.

Answers

Answer:

[tex]f(x)=32(1.3)^x[/tex]

Step-by-step explanation:

Here, the growth factor is 1.3 since 32(1.3)=41.6, 41.6(1.3)=54.08, and so on.

Therefore, the function that represents the table is [tex]f(x)=32(1.3)^x[/tex]

What is the equation of this line?

y= 2x - 3

y= -1/2x- 3

y= -2x - 3

y= 1/2x - 3​

Answers

Answer:

First option) y= 2x - 3

Step-by-step explanation:

[] The y-intercept, our b, is -3. This does not rule out any of the options as they all have -3.

[] The slope, when we have a graph with clear points, can be found with rise-over-run. We will pick a point and then count up and over to the next point.

-> Starting at the y-intercept, (0, 3), we count up 2 and to the right 1 for a slope of 2/1. This simplifies to 2.

[] Our equation is y = 2x - 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

help help help help help help help

Answers

1- 1 1/2

2- 5.3

3-  t=5

t=15

t=6

-6= -15r+9s. Solve for s

Answers

Answer:

(5r-2)/3 = s

Step-by-step explanation:

-6= -15r+9s

Add 15r to each side

-6+15r= -15r+15r+9s

15r-6 = 9s

Divide each side by 9

(15r-6)/9 = 9s/9

(5r-2)/3 = s

write a numerical expression to represent the phrase the sum of 25 and the cube of 9; evalute

Answers

Step-by-step explanation:

25 + 9³ = 25 + 81 = 106

remember, the cube of a number means to multiply it with itself 3 times (for a squared number that would be 2 times).

9³ = 9×9×9

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division

The value of the expression 25 + 9³ is 754.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The sum of 25 and the cube of 9.

This can be written as,

25 + 9³

= 25 + 729

= 754

Thus,

The value of the expression 25 + 9³ is 754.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

A bag contains 4 red marbles, 3 blue marbles and 6 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be red?

Answers

Answer:

~0.143

Step-by-step explanation:

So, in total there are 15 marbles, and only 6 of them are red. So the first draw will have a  chance of being red. Since you didn't mention placing it back, the next draw will have a  chance of being red. It's  , because you just took a red one out of the bag (leaving 5 left) and the total was lessened by one. To get the answer, you'd multiply both numbers together.

6/15 x 5/14 = 1/7 or (roughly) 0.143

Write an equation of the circle with center (-6, 2) and diameter 10.

Answers

Solution:

Formula: (x + 6)² + (y – 2)² = 5²h = x coordinatek = y-coordinate

First, let's find the radius of the circle.

Diameter: 10 unitsRadius: 10/2 units = 5 units

Now, let's create an equation:

(x – h)² + (y – k)² = r²

Replace the given values of variables into the equation.

=> (x + 6)² + (y – 2)² = 5²

Image attached~

Learn more: https://brainly.com/question/26508068

111111111111111111111111111111111111111111111

Answers

Answer:

  40 in

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the sides of a right triangle.

  b^2 +75^2 = 85^2

  b^2 = 85^2 -75^2 = 1600

  b = √1600 = 40

The length of the missing side is 40 inches.

answer: b= 40in
explanation is in the picture
hope this helps! (:

Evaluate piecewise functions

Answers

Answer:

-27

Step-by-step explanation:

We will use the top equation, which is [tex]x^{3}[/tex], because -3 (the x) is less than 0.

-> h(-3) means we are solving for when x is -3

[tex]x^{3}[/tex]

[tex](-3)^{3}[/tex]

[tex]-27[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

6.
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.

Answers

Answer: [tex]y=\frac{5}{4} x-\frac{5}{4}[/tex]

DECORATING Taji is hanging a picture 5\8 of the distance from the floor to the ceiling. if the distance between the floor and the ceiling is 12 feet, how high should he hang the picture

Answers

Answer:

7.5 is the final answer

Step-by-step explanation:

The first triangle is dilated to form the second triangle. What id the scale factor?
A. 50
B. 5
C. 2
D. 0.5

Answers

Answer:

0.5

Step-by-step explanation:

10/5=0.5, or one half.

AAAA!!!HELP QUICK!!!

Answers

Answer:

x= 58°

Step-by-step explanation:

if 32° and x is a 90° angle,

32+x = 90

x = 90 - 32

x = 58°

If you don’t know the answer please don’t comment.

1.) Given f(x) = x3 + 1 and g(x) = −x + 1 what is the value of (fg)(−4)?

A.) 315

B.) -315

C.) 225

D.) -225

2.) Given f(x) = x2 + 1 and g(x) = 3x, find (fg)(x).

A.) (fg)(x) = x2 + 3x + 1

B.) (fg)(x) = 3x^2 + 1

C.) (fg)(x) = 3x^3 + 1

D.) (fg)(x) = 3x^3 + 3x

Answers

Answer: FOR NUMBER 2 (B)

Step-by-step explanation:

2. (fg)(x) = f (3x)

= (3x)2 + 1 = 3x^2 + 1 —> B

Question 10 please help and show step by step working out ​

Answers

Answer:

P and Q must have some relation f their integers but it doesn't give a value

Step-by-step explanation:

Answer:

The answer is

[tex]8 + \sqrt{48} [/tex]

make L the subject of formula
[tex]v = \frac{1}{2} lbh[/tex]

Answers

Answer:

T^2=4π^2*L/G

L=(T^2*G)/4π^2

Step-by-step explanation:

hope this helps

Answer:

[tex]v = \frac{1}{2} lbh \\ \\ \\ l = v \div ( \frac{1}{2} bh) \\ \\ l = v \times \frac{2}{bh} \\ \\ l = \frac{2v}{bh} [/tex]

someone please help with this question :)!

Answers

I think a) would be the answer. I proceeded by elimination: the domaine of the function goes from 3 and continues to infinity, so that leaves with a) and b) as possible answers. Both have the same range and both of their functions reflect over the x axis, so we have to compare the two answer by looking at the position of the function in the graph. The function is in the first quadrant (top right corner), so the position of the function has to be at our right, which leads us to a).

Write 9,030,800 in expanded form.

Answers

Answer:

9 million 30 thousand 800 hundred

Step-by-step explanation:

i think this is what u mean by expanded form

pls mark brainliest i need 1 more

PLS DO 8.10 PLSS ITS DO TMR

Answers

8.  11/12 gallons of paint
10. 23/24 gallons of drink mix

Step-by-step explanation:

Note: When denominators are different, you must find a common denominator between the two fractions by multiplying both values
Ex: 1/3 and 1/4 = 4/12 and 3/12 common denominator is 12

8. Find the common denominator, 3/4 and 1/6, multiple the first denominator, 4, with three to get 12. Now multiply the numerator by the same number. 9/12 is our new fraction. Since the new denominator is 12, we have to get the other denominator to be 12 as well. Multiply 6 from 1/6 by 2 to get 12. Now do the same with the numerator. 2/12 is our new fraction, and all that's left is to add them together to find how much paint Damon has in total, which is 11/12 gallons.

10. Same concept as the above, 1/12 and 7/8 have a common denominator of 24, multiply 1 and 12 by two to get 2 and 24. Multiply 7 and 8 by 3 to get 21 and 24. 2/24 and 21/24 are our new fractions to add together. 23/24 is our answer.

Enjoy

5. Which of the following is not shown in the
figure at the right?
A. a line intersects parallel lines
B. there are intersecting lines
C. there are perpendicular lines
D. two lines are parallel
//

Answers

C.
(I’m pretty sure but if I’m wrong I apologize in advance)

HURRYYYYYY
Which of the following is equivalent to the expression shown?(
-5) (3 (-4) (-2)
A.-120
B.-8 C.-2
D.120

Answers

Answer:

A

Step-by-step explanation:

(-5) * (-12) * (-2)

(60) * (-2)

-120

The function m is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choose 1 answer: (Choice A) m ( x ) = − 2 ( x − 6 ) 2 + 18 (Choice B) m ( x ) = − 2x^2 + 24x - 54 (Choice C) m ( x ) = − 2 ( x − 3 ) ( x − 9 ), Write one of the zeros

Answers

Answer:

Choice C

Step-by-step explanation:

Choice C already has X factored into a form which can readily be set equal to zero.

Eg. X - 3 = 0 and X - 9 = 0

To find the zeroes, simply solve for X

Answer:

this is the real correct answer

Step-by-step explanation:

FILL IN THE BLANK TO MAKE THE NUMBER SENTENCE TRUE.

6 X 2/
= 6

Answers

6 x 2/2 = 6, because 2/2 is 1 and 6x1 is 6

What is the quadratic equation whose roots are 2 and 6, and whose leading coefficient is 5

Answers

Answer:

5x^2-8x + 12

Step-by-step explanation:

the formula for finding roots of equation is

x^2- (sum of roots)x + products of roots =0

and we already have the roots of the equation

so we add them to give 8

and multiply to give 12

hence the quadratic equation that has those roots with leading coefficient is 5x^2-8x + 12=0

QUESTION 3
Screenshots

Answers

Answer:

2. P= 12

Step-by-step explanation:

Remember that if you have an exponent in your variable , what you have to do is to cancel it out by putting a square root in both sides :

√p ^2 = √144      the exponent will cancel out and then just square root 144          

p = 12                   that's your answer  :)

May someone please help me with these equations I am struggling thank you very much

Answers

Answer: see attachment

Step-by-step explanation:

Any help would really be helpful :D

Answers

Answer:

here,

4×35=n×10

140=10n

140/10=n

n=14

Hope this helps you!

Answer:

See below.

Step-by-step explanation:

4     n

_ =  _

10   35

You cross multiply. You get 140=10n.

140=10n

_        _

10      10

n=14

You have your answer. ✌️

Other Questions
Which of the following describes a constitutional monarchy? aThe king or queen's power is limited by a constitution. bThe king or queen has unlimited power. cThe leader is selected through free elections. dThe leader often takes power through force. Will multiple births, when many egg cells are fertilised outside the body and then implanted, produce identical or similar offspring?Answer:The gene that contains the genetic information for brown eyes is said to be dominant. This means that if a persons body cells contain one gene for brown eyes and one gene for blue eyes, the blue-eyed gene is not allowed to work; it is said to be recessive. The person will have brown eyes. Explain how two parents might have a child with blue eyes even if they both have brown eyes.Answer:ill give branliest if you answer Instructions: Rewrite each sentence. Change the noun word to a pronoun. 1. Christina made dinner for her kids. 2. Tommy played tag with Miguel and Ramon. 3. Mr. Ortiz went to the movies with Mrs. Reyes. 4. The house needs a fresh coat of paint. Which equation represents the relationship between r and s? A) s = 1 6 r B) r = s - 5 6 C) s = r - 5 6 D) r = 1 6 s Hello random question's1) Who likes anime? 2) If you do what type of anime is your favorite?3) What is your favorite anime meme?Mines are:1) I love anime2) MHA3)this photo The value of a car decreases as shown in the table below. A 2-column table with 6 rows. The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5. The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000. Which statements are true? Check all that apply. The function that best represents the data is f(x) = 24,512(0.755)x. The function that best represents the data is f(x) = 554x2 5,439x + 24,600. The function decreases indefinitely. It is reasonable to interpolate to the value of the car at 4.5 years. It is reasonable to extrapolate to 40 years. What was an effect of the War of 1812? A. Americans proved they could defeat the British by doing it a second time. B. Britain lost its war with France as it spent its resources on the war in America. C. Americans gained control of new land in the west. D. James Madison was re-elected for a third term. WHICH IS IT?i do not understand Ecological succession is WORKSHEET (need help urgent). Writers need a thesis statement to provide a specific focus for their essay and to organize what they are about to discuss in the body true or false Question 4 of 10Which of the following was not a reason that most members of immigrantfamilies had to get a job?A. The jobs available to them did not pay very much.B. They had spent all of their savings just to get to America.O C. Only those who worked could get good health insurance.O D. They could not survive on a single income.SUBMIT What is not one of the five longest rivers in the u. S. ?. What is the slope of y = 4x - 7PLEASE SHOW WORK ASAP! Why did the british have balkans support against Turkey? who is the prime minister of ethiopia and president of Ethiopia match the sentence to its correct label PLS HURRY (100 POINTS) Select the subject in the following sentence:Outlines assist the students in taking notes for the class. help ill give brainlest pls #5 Solve the equationbelow. Show all of yourwork.P-9= 13.52