Here is a riddle: “I am thinking of two numbers that add up to 5.678. The difference between them is 9.876. What are the two numbers?”


The riddle can be represented with two equations. Write the equations

Answers

Answer 1

Answer:  

X + Y = 5.678

X - Y = 9.876

The two numbers: X = 7.777   Y = -2.099

Step-by-step explanation: solve by elimination

X + Y = 5.678

X - Y = 9.876 . Add the two equations so the y cancels. Solve for x

2x = 15.554 .  Divide both sides by 2

X = 7.777    Substitute in the original equations to find Y

7.777 + y = 5.678 . Subtract 7.777 from both sides

Y = - 2.099

check in the second equation:

7.777 -(-2.099) = 9.876

7.777 + 2.099 = 9.876 True

Answer 2

The two numbers is X = 7.777 and Y = -2.099.

And, the two equation is X + Y = 5.678  and X - Y = 9.876.

Given that,

I am thinking of two numbers that add up to 5.678. The difference between them is 9.876.Here we assume the one number be X and the other number be Y.

Based on the above information, the calculation is as follows:

X + Y = 5.678

X - Y = 9.876

2x = 15.554  

X = 7.777    

Now  

7.777 + Y = 5.678  

Y = - 2.099

Therefore, the above should be the answers.

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Related Questions

Am not sure what this answer is

Answers

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

the correct answer would be D/ 100 pieces

If two lines are perpendicular, what must be true about the slopes of the two lines. Select all that apply.

.

slopes are the same

Slopes are reciprocals

Slope are whole values

Slopes are opposites (one positive and one negative)

Answers

Answer:

Concept: Linear Systems

Those that are parallel have equal slope, contrary those that are parallel have reciprocal. Hope this helps!

This is the John Hancock Building. What shape do you think surrounds the diagonal braces? List several ways to test your conjecture.

Answers

Answer:

ha you said C O C K

Step-by-step explanation:

Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?

Answers

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?

Answers

The total score for the basketball game was 50 points.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

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Plz help due soon!!!

Answers

Answer:

Option A: 6 to 9 , 9/12 is the correct answer.

Step-by-step explanation:

The equivalent ratios simplify to same simple ratio.

In case of this question, we have to check which to the ratios doesn't simplify to 3:4 or 3/4

Option A:

6 to 9 , 9/12

6 to 9 can be written as:

[tex]=\frac{6}{9}\\= \frac{2}{3} \neq \frac{3}{4}[/tex]

9/12 simplifies to 3/4

But as one of the ratio doesn't simplify to 3:4 which means 6 to 9 is not equivalent to 3:4

Hence,

Option A: 6 to 9 , 9/12 is the correct answer.

A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%

Answers

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

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If x = -5, which inequality is true?

A. -4 - 3x > 7

B. -2 - 6x 14

D. 7 - x < 6

Answers

Answer:

A

Step-by-step explanation:

Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs

Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?

Answers

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

8 minutes because 48/3 is 16
so 128/16 is 8
and 128/48 is 2.6
3x2.6 is 8


Suppose it takes John 45 minutes to run 4 miles. How long would it take him to run 4 kilometers? Round your answer to the nearest minute

Answers

Answer:

28 minutes

Step-by-step explanation:

4 miles = 45 minutes

4 kilometers = (m) minutes

45 ÷ 4= 11.25

4 kilos= 2.48548 miles

2.48548 x 11.25= 27.96165

m = 28 minutes

- I hope this helps have a great day

John will covers 4 km distance in 28 minutes.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Here, it is given that John takes 45 minutes to run 4 miles and is known that :

1 mile ≈ 1.61 km

that is for,

4 mile ≈ 6.44 km

John covers 6.44 km in 45 minutes, John will cover 4 km in :

6.44 km ⇒  45 minutes

1 km ⇒ 45/6.44 minutes

4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes

Therefore, John will covers 4 km distance in 28 minutes.

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GwhbbsnNn mmNlnananK a Kknaba

Answers

dysodjd kfudoandudslfhsotn

PLEASE HELP ILL GIVE BRAINLIEST I JUST NEED THE ANSWER

Answers

Check yes for: (2,0) (-2,1) (0,3) (0,-1) (3,2)

Answer:

WHATT IS THIS MATH IT LOOKS SO HARD:0

Where is the blue dot on the number line?

Answers

it should be -2.1
if not then sorry

Answer: The blue dot is -2.1

Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50​

Answers

Answer:

2.25 should be the right answer

One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake

Answers

Answer:

1/8

Step-by-step explanation:

One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.

Answer:

Each person will get 1/8 of the whole cake but 1/4 of half of the cake.

Step-by-step explanation:

Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.

4) Karen Waughtal invested some money at 5% annual simple interest
and $500 more than that amount at 8% annual simple interest. If her total
yearly interest was $300, how much was invested at each rate?

Answers

Answer:

15000

Step-by-step explanation:

Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^





(Please don't answer with anything random just for the points)

Answers

Answer:

Factored Form: f(x) = (x-7)(x-4)

Roots: x=7, x=4

Step-by-step explanation:

What  we can do here is break the given expression into groups;

x^2-11x+28 ---> break the expression into groups

(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x

x(x-4) + (-7x +28) ---> factor - 7 from -7x +28

x(x-4) -7(x-4) ---> combine

(x-7)(x-4)

so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4

Answer:

ñanamaisañia thanks for points

Garret paid 20$ for five movie tickets find the cost per ticket



Megan paid 22$ for 7 books determine the cost per book

Answers

Answer:

Step-by-step explanation:

Cost of a ticket = Total cost ÷ number of tickets

                         = 20 ÷ 5

                         = $ 4

2) Cost of 7 books  = $ 22

Cost of a book = 22 ÷ 7

                         = $ 3.11

Answer:

4 dollars each for 1st question and 3.1 dollars for second question

Home Depot sells 400 stoves every day. Home Depot sells 125 more microwaves per day than stoves. Which equation can be used to find x, the total number of stoves and microwaves Home Depot sells in one day?

Answers

Answer:

400

Step-by-step explanation:

Plz help. Will give brainliest for the best answer

Answers

Answer:

17.3

Step-by-step explanation:

You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

x = 97

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 72

Leg b = 65

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]:                    72² + 65² = x²Exponents:                           5184 + 4225 = x²Add:                                      9409 = x²Isolate x:                               97 = xRewrite:                                x = 97

please help me, this isn't a test or quiz I just need some help.

Answers

the right is answer is B) alternate exterior

BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)

Answers

Answer:

y = x^3 + x^2 − 20x

Step-by-step explanation:

Find the factors from the roots, then multiply the factors together.

f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.

What is polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that

f(x) = (x + 5)(x - 4)(x)

Multiply the factors together.

f(x) = (x + 5)(x² - 4x)

we have to open the brackets above

f(x) = x³ - 4x² + 5x² - 20x

Rearrange the likewise terms and apply the arithmetic operations,

f(x) = x³ + x² − 20x

This equation is true when x is equal to -5, 4, or 0 and for no other values of x.

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Will give crown will post more

Answers

Answer:

2, 7, 27, 42

Step-by-step explanation:

y = 5*1 -3 =2

y = 5*2 -3 =7

y = 5*6 -3 = 27

y = 5*9 -3 = 42

Answer:

See below

Step-by-step explanation:

[tex]y = 5x - 3 \\ \\ \begin{vmatrix}x &\: \: \: y \\ \\ 1&\: \: \: \boxed{\red {\bold 2} } \\ \\ 2&\: \: \: \boxed{\purple {\bold 7} }\\ \\ 6&\: \: \: \boxed{ \orange {\bold {27} } } \\ \\ 9&\: \: \: \boxed{\pink{\bold {42} } } \end{vmatrix}[/tex]

please help which one of these answers is it?

Answers

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

In the picture, quadrilateral A'B'C"D' is an image of quadrilateral ABCD after a rotation. The center of rotation is E. Label the missing side and angle measurements

Answers

Answer:

Angle D is 45 degrees. The side length is 9 in.

Step-by-step explanation:

In a rotation, side lengths and angles do not change.

Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.

Answers

Answer:
H. Add 2 to both sides of the inequality.

Explanation:
To get x by itself, I would add 2 on both sides.

15 3/4 < -2 + x
+2 on both sides
17 3/4 < x

What the answer is for this question

Answers

Answer:

im pretty sure its 24

Step-by-step explanation:

because 12+12=24

Tablets are on sale for 15% off original price with the function p(t)=0.85t

Answers

The answer would be 45% there you go

4 • 7 – 6 2 ÷ 3 also show your work

Answers

Answer:

7   1/3

Step-by-step explanation:

Lets do this in steps ok? K!

Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!

Step 1-- 4 x 7=28

Step 2-- 62 divided by 3 = 20      2/3

Step 3-- 28- 20   2/3

Step 4-- 27   3/3 - 20    2/3= 7    1/3

Hope this helps ∞<3

Answer:

[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]

[tex]4\cdot7[/tex] = [tex]28[/tex]

[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]

[tex]28-62[/tex] = [tex]-34[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

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