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

plzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Exact rule : 77

Approximate rule : 80

Step-by-step explanation:

Which fraction is equivalent to 0.4?

StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction

Answers

Answer:

Four-tenths

Step-by-step explanation:

Four-tenths

Hope it helps you in your learning process.

Solve for the missing amount.
Of the 300 Sequoyah Cougars that play a sport, 20 % will go on to play high school sports.
How many Cougars will play a sport in high school?

Answers

Answer:

60

Step-by-step explanation:

Answer:

60 Cougars will play a sport in high school

Step-by-step explanation:

20% of 300 is 60.

PLEASE ANSWER FAST
what is the length of rt?
a - 3 cm
b - 1 cm
c- 9 cm
d - 4 cm

Answers

Answer:

I would say 3cm

Step-by-step explanation:

sorry if it's wrong but I sure it's right

i would also say 3 bc 12/4=3 and so just divide 9 by 3 also and get 3

Consider the enlarged triangle.

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

Which steps should be used to find the perimeter? Check all that apply.

Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.

Answers

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

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

Answers

Answer:

7.61577

Step-by-step explanation:

Solve the following inequality:
55 – 5q > 4(7–9).

Answers

Step-by-step explanation:

55 – 5q > 4(7–9)

4(-2)

55- 5q > -8

-5q > -63

q=12.6

Which point is located at (4, 1)?
A
B
C
D

Answers

Answer:

A is located at (4,1)

Step-by-step explanation:

The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).

Hope this helps! ;)

Final Answer: Point A

Steps/Reasons/Explanation:

Question: Which point is located at [tex](4, 1)[/tex]?

The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.

For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.

For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.

~I hope I helped you :)~

find the value of the expression n+2×m
for m=6 and n =4​

Answers

Answer:n=4

m=6

Step-by-step explanation:

(solve for bracket first the add)

4+2×6

4+12

16

(01.02 MC)Which of the following expressions shows how to rewrite 4 − 5 using the additive inverse and displays the expression correctly on a number line?
1.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 1.
2.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 5.
3.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 5.
4.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 1.

Answers

Answer:

I think the answer is 1. The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative. So the answer is A

hope this helps sorry if it wrong

pls let me now if right or wrong

The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1. Option A is correct.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
4  + (- 5)

The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1.

Thus, option A is correct.

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Find the slope of the line passing through the points
(-3. 7) and (2. -6).

Answers

Answer:

( 3 , 7 )

Step-by-step explanation:

maybe this will help you

could someone help please? this is hard

Answers

Step-by-step explanation:

1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2

Answer:

1,2,1, 4, 1

These numbers correspond with the boxes in order from left to right.

Please HELP!!!!!!!! THANK YOU!!!!!!!!

Answers

Answer:

200 animals is the correct answer to the first question.

A standard painkiller is known to bring relief in 3.5 minutes on average LaTeX: \muμ. A new painkiller is hypothesized to bring faster relief to patients. A sample of 40 patients are given the new painkillers. The sample yields a mean of 3.0 minutes and a standard deviation of 1.1 minutes. Using a level of significance LaTeX: \alpha = 0.05α = 0.05, the rejection region for the test is:

Answers

Answer:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Step-by-step explanation:

Setting the null and alternative hypothesis :

H0 : μ = 3.5

H1 : μ < 3.5

Sample size (n) = 40

Mean (m) = 3 minutes

Standard deviation (s) = 1.1 minutes

Test statistic : Z = (m - μ) / (s/√n)

Z = (3 - 3.5) / (1.1/√40)

Z = - 0.5 / 0.1739252

Z = - 2.8747978

Zcritical at α 0.05 = 1.645

This is a left tailed test :

Hence rejection region:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

what isvequivalent to y=23x−6?

Answers

Answer:

Slope = 46.000/2.000 = 23.000

x-intercept = 6/23 = 0.26087

y-intercept = -6/1 = -6.00000



In the diagram, line A is parallel to line B. Which angles are congruent to angle 1?
(20 Points)
Select All that apply
angle 2
angle 3
angle 4
angle
angle 6
angle 7
angle 8

Answers

Answer:

angle 8

Step-by-step explanation:

Follow Me Please

Put the following numbers in order from least to greatest.



1/4 1/8 1/2

Answers

Answer:

1/8 1/4 1/2

Step-by-step explanation:

i hope it will help you

Step-by-step explanation:

1\8 1\4 1 \2

Help ASAP anyone :)!!!??!

Answers

Answer:j

Step-by-step explanation:

D represents the graph. I choose this answer because we know the y means the b in the formula of y=mx+b. b=2 and the m or slope equal 4/3 because it is rising 4 spaces and run 3. Used the formula rise/run.
I hope this helps :)

A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?

Answers

Answer:

19 by 38

Step-by-step explanation:

The area of the poster, A=xy

Margin at both up and bottom is 2inches, at the right and left is 1 inch

Then we can say

(x-4)(y-2)= 578

Let us make y subject of the formula

(y-2)= 578/(x-4)

y=[ 578/(x-4)] + 2

If we substitute into the area A equation we have

A= x { [ 578/(x-4)] + 2}

A= 2x + (578x)/(x - 4)

If we differentiate we have

A'(x)= [2+578(x-4)+578x ]/ (x-4)^2

=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2

=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2

If we simplify this we have

=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2

=( 2x^2 -16x - 2312) / (x-4)^2

At A'(x)= 0

= ( x^2 - 8x - 2312) / (x-4)^ =0

If we divide through by 2 we have

x^2 - 8x - 1156= 0

Solving the quadratic eqn( CHECK THE ATTACHMENT)

X= 38 or -30 then we choose the positive one, then x= 38

Then from area of the poster

A= (x-4)(y-2)= 578

Substitute 38 as value of x

(38-4)(y-2)= 578

34(y-2)=578

34y-68=578

34y=646

y=19

Hence dimensions of the poster is 19 by 38

CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION

In this system of equations below solve for x
2x+2y=12
x-4y=6

Answers

Answer:

X = 6

y = 0

Step-by-step explanation:

use elimination method. Multiply (x -4y = 6) by -2.

2x + 2y = 12

-2x + 8y = -12

add them together

10y = 0

y = 0

plug in for y

x - 4(0) = 6

x = 6

In the following table, y is a function of x. True or false: The table below represents a function.

Answers

False
Bc when you divide y/x it equal different unit rates

Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?

A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3

Answers

Answer:a

Step-by-step explanation:

Two hikers hike two different trails for 3 days: Hiker 1: Climbs up in elevation 500 m per day Hiker 2: Goes down in elevation 500 m per day Write an equation using multiplication that represents each hiker's elevation after 3 days. Explain what each number means. What is the final elevation of each hiker?

Answers

Answer:

i. y = 3(x)

ii. This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.

Step-by-step explanation:

Let assume that the horizontal surface of the earth is taken to be zero. Thus any distance moved upward is positive, and any distance moved downward is negative. As compared to a number line.

Thus, after 3 days, the equation for each hiker is;

y = 3(x)

Where y is the total distance covered after 3 days, and x is the elevation of the hiker per day.

For Hiker 1, the elevation was upwards;

y = 3(500)

 = 1500 m

For Hiker 2, the elevation was downwards;

y = 3(-500)

  = -1500 m

This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.

Find what x equals please

Answers

Answer:

180-(35+28)->180-63=117 and 180-117=63 then 63+36=99 and 180-99=81 so x=99°

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization?

Answers

Answer:

2 positive unit tiles is needed

Step-by-step explanation:

Given the expression x^2 – 3x – 10, the partial factorization is as shown;

x^2 – 3x – 10

=  x^2 +2x – 5x – 10

= x(x+2)-5(x+2)

= (x-5)(x+2)

Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)

From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization

Answer:

B i think

Step-by-step explanation:

Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit

Answers

Answer: 40320

Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.

The number of ways for the children sit will be 40,320.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eight children sit together at story time.

And, Seven children sit in a circle and one child sits in the middle to tell the story.

Now,

Since, There are 8 students.

Hence, The number of ways for the children sit = 8!

                                                                          = 40,320

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Pls someone help me!

Answers

Answer:

When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.

I really need help with this

Answers

Answer is 62 x=62 when u do 2x+6=130

The actual Mount Rushmore carving was made from a scale model with a scale of 1 inch = 1 foot. On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long. What is the length of Teddy Roosevelt's mustache on the monument?

Answers

Answer:

1 foot by 8 inches

Step-by-step explanation:

2 2/9 +1 4/9 please help

Answers

Answer:

3 2/3

Step-by-step explanation:

In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:

2 2/9 +1 4/9

3 6/9

simplify

3 2/3

exact form: 11/3, decimal form: 3.6 repeating, mixed number: 3 2/3
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