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.

Learn more: brainly.com/question/24169758


Related Questions

A teacher knows that 15% of the pencils borrowed by her students are NOT returned. The teacher
has 80 pencils. How many pencils will be returned?

Answers

Answer:

Step-by-step explanation:

80 -15 =65 so she would get 65 pencils back

Answer:

12.

Step-by-step explanation:

15% of 80 is 12.

Which statement is true for the following graph:
4
3
O
3
-2
3
4
-51
F
The domain is all real numbers
G
The domain is all real numbers between -3 and 4
H
The range is all real numbers
J
The range is all real numbers between -3 and 4

Answers

9514 1404 393

Answer:

  H  the range is all real numbers

Step-by-step explanation:

The arrows on the ends of the curve mean the curve extends to infinity. Then the domain (x-extent) is -3 to infinity.

The range (y-extent) is -infinity to infinity, all real numbers.

The appropriate description is ...

  H  The range is all real numbers

4cm
Use 3.14 for pi
Circumference =
cm
Area
=
cm

Answers

The answer is
Some 10 cm

What is 11% of 600?

80
45
60
66

Answers

Answer:

66 is the answer to your question

Answer:

66

Step-by-step explanation:

11 % = 0.11

600 × 0.11 = 66

equation with variables on both sides: decimals & fractions 4x + 8 = 7.2 + 5x

Answers

Answer:

4x + 8 = 7.2 + 5x

1. 4x - 4x + 8 = 7.2 + 5x - 4x

2. 8 = 7.2 + x

3. 8 - 7.2 = 7.2 - 7.2 + x

4. 0.8 = x

Step-by-step explanation:

Final Answer: [tex]x = 0.8[/tex]

Steps/Reasons/Explanation:

Question: Equation with variables on both sides: decimals & fractions [tex]4x + 8 = 7.2 + 5x[/tex].

Step 1: Subtract [tex]4x[/tex] from both sides.

[tex]8 = 7.2 + 5x - 4x[/tex]

Step 2: Simplify [tex]7.2 + 5x - 4x[/tex] to [tex]7.2 + x[/tex].

[tex]8 = 7.2 + x[/tex]

Step 3: Subtract [tex]7.2[/tex] from both sides.

[tex]8 - 7.2 = x[/tex]

Step 4: Simplify [tex]8 - 7.2[/tex] to [tex]0.8[/tex].

[tex]0.8 = x[/tex]

Step 5: Switch sides.

[tex]x = 0.8[/tex]

~I hope I helped you :)~

The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?

A.
60%

B.
12.5%

C.
10%

D.
7.5%

Answers

Answer:

60%

Step-by-step explanation:

Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100

$19.99 - 12.5

-------------------   times 100

12.5

Follow PEMDAS

7.49 / 12.5 = 0.5592 (100) = 59.92

Round to the nearest whole number. So about 60%

Solve each equation mentally for x.

5/2 • x = 1

Your answer must be in the form of a fraction.

Answers

x = 2/5

5/2x2/5=1
good luck

You need to get x by itself to solve

So to get rid of 5/2, you need to multiply both sides by the reciprocal or 2/5...

5/2*2/5 = 1 which we don't write and 1*2/5 =  2/5

So now you'd have x =2/5

PLEASE HELP ME!! THIS IS A MATH TEST!! PLEASE HELP!!

Person A buys 6 granola bars and 4 cups of yogurt for $10.50. Person B buys 4 granola bars and 8 cups of yogurt for $11. Find the cost of each item.

Granola Bar costs:
a cup of yogurt costs:
PLEASE AND THANK YOUUU!!!!!!​

Answers

the granola bar costs $1.50

the yogurt costs 50 cents = $0.50

what is exponential rate of change

Answers

Answer:

Exponential growth refers to an increase based on a constant multiplicative rate of change over equal increments of time,that is a percent increase of the original amount over time.

I need help plz! plz don't just do this for the points!

See image below!

Answers

The answer is c) pls mark me as the Brainliest

Answer:

6 1/10

Step-by-step explanation:

You multiply the left fraction by 5 and the right by 2 so the denominators come out equally as 10 which makes your new fractions, 4 5/10 and 1 6/10 then add them together and it would be 5 11/10 and you break it down so it’s 6 with 1 left over making it 6 1/10

solve this equation 3(2x – 4) = 4(x + 2

Answers

Answer:

10

Step-by-step explanation:

3(2x - 4) = 4(x + 2)

  6x - 12 = 4x + 8

 -4x          -4x

  2x - 12 = 8

       +12  +12

  2x/2 = 20/2

        x = 10

Match the equivalent expressions 4(2x + 3) - 7x

Answers

The answer would be 8x+ 12 - 7x or 20x - 7x

The regular price is $8.45 more than the sale price. The regular price
is $24.95. What is the sale price? _____

Answers

Answer:

33.04

Step-by-step explanation:

just add lolz :P

Answer:

$33.40

Step-by-step explanation:

  1  1  1

  24.95

+   8.45

__________

    33.40

5+5 is 10 so bring a 1 to the top and put a 0 for the bottom

1+9+4 is 14 so put the 4 down and put the 1 on top.

1+4+8 is 13 so put the 3 down and put the 1 on top.

1+2 is 3 so put the 3 down

then you get 33.40

Find the area of the irregular shape !!!

Answers

Step-by-step explanation:

Area of triangle = base × height ×½

triangle = 9×8×½=36cm²

rectangle = length×width

rectangle = 15×26=390cm²

area of irregular fig= 390+36 =426cm²

b -2 = 9/b-2
Answer ?

Answers

Step-by-step explanation:

I don't know if it's correct

b-2=9/b-2 (b isn’t equal of 0)
b=9/b-2+2
b=9/b
b^2=9
b=3 or b=-3

Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.

Answers

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

Answer:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{2\\}\\\\[/tex] = 5

[tex]a_{3\\}\\\\[/tex] = 14

[tex]a_{4\\}\\\\[/tex] = 41

[tex]a_{5\\}\\\\[/tex] = 122

Step-by-step explanation:

If I've properly understood:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{n} = 3 a_{n-1}\\[/tex] - 1

so, the first 5 terms are:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{2\\}\\\\[/tex] = 3. 2 - 1 = 5

[tex]a_{3\\}\\\\[/tex] = 3. 5 - 1 = 14

[tex]a_{4\\}\\\\[/tex] = 3. 14 - 1 = 41

[tex]a_{5\\}\\\\[/tex] = 3. 41 - 1 = 122

Tyler bought two tickets to a basketball game on the website Game Finder. Each ticket cost $65, and the website charged a convenience fee that was a small percent of the ticket cost.
If Tyler’s total bill came to $132.60, what percent was the convenience fee?

Answers

First you write down the formula. How do you get 132.60 in the first place? I included a pic, please try to understand it. As it'd be v useful in daily life too.

Answer:

the answer is 2%

Step-by-step explanation:

I got 2.0 but you round it so it would be 2% the other girl worked it out just right

Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile

Answers

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{4}{5*8}[/tex]

= [tex]\frac{4}{40}[/tex]

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{2}{5*4}[/tex]

= [tex]\frac{2}{20}[/tex]

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

To learn more about unitary method click here ;

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#SPJ2

9x + 3y - 7x - 8y =

Answers

Answer:

2x-5y

Step-by-step explanation:

9x-7x= 2x

3y-8y= -5y

Answer:

....................

Step-by-step explanation:

At a furniture store, the employees earn a 2.5% commission on every sale they make.
If Robert made $8,850 in sales one week, how much money in commission did he earn?
Francisca made $279 in commission that same week. How much money in sales did she make?

Answers

Step-by-step explanation:

Let x be the money made in sales. Let y be the money made in commissions.

First, convert 2.5% to a decimal.

2.5% = 0.025

Equation:

0.025x = y

Robert:

0.025(8850) = y

y = $221.25

Francisca:

0.025x = 279

x = 279/0.025

x = $11,160

Joe, Luis, Albert and Lupe want to share 3 oranges so that everyone gets an equal amount. How much orange will each child get? ~PLEASE ANSWER QUICK~

Answers

Answer:

Half an orange

Step-by-step explanation:

It would be half an orange because it says 4 other people. Joe, Luis, Albert, and Lupe. And it says 3 oranges so that everyone would get an equal amount. So if you think about it, theirs no other way to let everyone have an equal piece. So you would have to split them in half and through the left overs away that cant be shared.

please mark as brainly

You go to Wal-Mart to buy some holiday candy. You decide to buy snickers because they have a special deal on snickers. A bag
of snickers costs $3.45, but if you buy 4 or more bags, they only cost $3.00 per bag.
Create a piecewise function to represent the cost of the bags of snickers.
6
SNICKERS
Let "n" be the number of bags of snickers
and "C(n)" be the cost of all bags of snickers purchased.
The piecewise function is
C(n) - {(first option)
{ (second option)

Answers

Answer:

The piecewise function is given as follows;

[tex]\begin{cases}C(n) = \$ 3.45 \times n & \text{ if } x< 4 \\ C(n) = \$ 3.00 \times n & \text{ if } x\geq 4 \end{cases}[/tex]

Step-by-step explanation:

The given parameters are;

The cost of each bag of snickers = $3.45

The cost of each bag of sneakers when buying 4 or more bags = $3.00

Let "n" be the number of bags of snickers and "C(n)" be the cost of all the snickers purchased

The piecewise function is C(n) = {($3.45 × n) for n < 3

{($3.00 × n) for n ≥ 4

What is 12 1/2 x 4 2/3

Answers

Answer:

174 1/3

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

because may i pls have brainlest

*show all work for full credit
1. 6x=25

Answers

6x=25
we need to divide by 6 on both sides so we will get:
6x/6=25/6
after doing this we will get:
x=25/6
depending on what your teacher is asking for, 25/6 will be your answer or your answer will be 4.16.

Answer and Step-by-step explanation:

All we have to do is solve for x.

Divide both sides by 6.

x = [tex]\frac{25}{6}[/tex]

This is your answer.

If you want to have the decimal version, then it would be 4.166 repeating.

#teamtrees #WAP (Water And Plant) #SPEW (Society for the Promotion of Elfish Welfare)

Jo is a diabetic who uses three doses of insulin each day. Each dose is 0.06 ml. A bottle contains 1 cl of insulin. How many complete days will a bottle last her?

Answers

Answer:

55 complete days

Step-by-step explanation:

It is given that Jo is diabetic and she uses three doses of insulin in one day. One dose of insulin is 0.06 ml and one bottle has 1 cl of insulin.

We know, 1 cl = 10 ml

So the insulin bottle contains 10 ml of insulin.

1 dose = 0.06 ml

3 doses = 0.06 x 3

              = 0.18 ml

So Jo takes 0.18 ml of insulin in one day.

Dividing 10 ml by 0.18 ml, we get

[tex]$=\frac{10}{0.18}$[/tex]

[tex]$=\frac{1000}{18}$[/tex]

= 55.55

So, the bottle will last for 55 complete days.

Eeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

The lowest point is 9 ft below see level and the highest point is 108 ft above sea level

Step-by-step explanation:

Here, we want to select the correct option

From the question, we have the following;

The lowest point is -9 while the highest point is +108

-9 indicates that it is 9 units below zero

+108 indicates that it is 108 units above zero

So, the correct option here is that;

The lowest point is 9 ft below see level and the highest point is 108 ft above sea level

Answer:

A. The lowest point is 9 feet below sea level and the highest point is 108 above sea level

Step-by-step explanation:

have a nice day

Given that triangle RST is isosceles, find the value of x.

Answers

Answer:

x = 10

Step-by-step explanation:

RST is an isosceles triangle.

[tex]m\angle T = m \angle R\\\\

8x\degree = (3x + 50)\degree \\\\

8x = 3x + 50\\\\

8x - 3x = 50\\\|

5x = 50\\\\

x = \frac{50}{5} \\ \\ x = 10[/tex]

If 10% of x is 20, what is 23% of x?
A.
33
B.
46
C.
200
D.
230

Answers

Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

First get x

x= (20/10) * 100

x=200

23% of 200 = (23*200)/100 = 46

3.5 is less then greater than or equal to 1.5??

Answers

Answer:

More than sorry if im wrong

Step-by-step explanation:

You have at most $28 to spend at a market. Apples cost $0.45 each, and pears cost $0.60 each. Let a be numbers of apples and p be numbers of pears. Write an inequality that represents the numbers of apples and pears you can afford

Answers

Answer:

$0.45a+$0.60p ≤$28

Step-by-step explanation:

Answer:

0.45a + 0.60p <= 28

Step-by-step explanation:

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