Two decimals numbers, to the thousandths, that have a sum of about 5 and a difference of about 3. Then do the math to prove it works.

Answers

Answer 1

Answer:

The numbers are approximately: 4.000 and 1.000

Step-by-step explanation:

The given parameters can be expressed as:

[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]

[tex]\frac{x}{1000} - \frac{y}{1000} \approx 3[/tex]

Required

Determine the numbers

In each of the equations, multiply by 1000

[tex]1000 * [\frac{x}{1000} + \frac{y}{1000} \approx 5][/tex]

[tex]x + y \approx 5000[/tex]

[tex]1000 * [\frac{x}{1000} - \frac{y}{1000} \approx 3][/tex]

[tex]x-y \approx 3000[/tex]

So, we have:

[tex]x + y \approx 5000[/tex]

[tex]x-y \approx 3000[/tex]

Add the two equations

[tex]x + x + y - y \approx 5000 + 3000[/tex]

[tex]2x \approx 8000[/tex]

Solve for x

[tex]x \approx 8000/2[/tex]

[tex]x \approx 4000[/tex]

Substitute [tex]x \approx 4000[/tex] in [tex]x + y \approx 5000[/tex]

[tex]4000 + y \approx 5000[/tex]

[tex]y \approx 5000 - 4000[/tex]

[tex]y \approx 1000[/tex]

Using:

[tex]\frac{x}{1000} + \frac{y}{1000} \approx 5[/tex]

We have:

[tex]\frac{4000}{1000} + \frac{1000}{1000} \approx 5[/tex]

[tex]4.000 + 1.000 \approx5[/tex]

This implies that, the numbers approximates to 4.000 and 1.000, respectively.


Related Questions

5.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.

Answers

Answer:

B

Step-by-step explanation:

75 divided by 3 = 25

so 25 dollars each day

Answer:

B. 25/1 dollars per day; the cost is $25 for each day.

Step-by-step explanation:

Can someone help me answer this

Answers

Answer:

maby c

Step-by-step explanation:

tell me if this helps

Answer:

Hello! Your answer would be, C) [tex]- \frac{2}{9}[/tex]

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?

Answers

Answer:

3:4

Step-by-step explanation:

Val measures the diameter of a ball as 6 inches. How many cubic inches of air does this ball hold, to the nearest tenth? Use 3.14 for π.

Answers

Answer:

The ball holds 113.0 cubic inches of air

Step-by-step explanation:

Firstly we need to know the shape of the ball

A ball is spherical in shape

So to know the number of cubic inches, we have to find the volume of air in the ball

Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere

The formula for the volume of a sphere is ;

V = 4/3 * pi * r^3

in this case, r = d/2 = 6 /2 = 3 inches

where r is the radius of the ball and d is the diameter of the ball

So, substituting these values , we have

V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches

Find the area
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: I think is is 56 in^2

Step-by-step explanation:

Answer:

I’m pretty sure the answer is 56 in^2

If I’m wrong I’m sorry. I’m not strong on this.

PLEASE HELP I NEED IT TO PASS THIS CLASS

Answers

Answer:

Angle 5 = 37°

Angle 8 = 143°

Step-by-step explanation:

Angle 2 = Angle 8

Reason : Alternate exterior angles are equal.

Therefore,

Angle 8 = 143°

Angle 5 + Angle 8 = 180°

Reason : Angle 5 & 8 are in a linear pair.

Angle 5 + 143° = 180°

Angle 5 = ( 180 - 143 )°

Angle 5 = 37°

I need help please!!

Answers

Answer:

12, 2 and 10

Step-by-step explanation:

(1)

b - 4 = 8 ( add 4 to both sides )

b = 12

(2)

y + 7 = 9 ( subtract 7 from both sides )

y = 2

(3)

16 = n + 6 ( subtract 6 from both sides )

10 = n

What is the volume of a cylinder that has the following measurements?


area of each base: 50.24 ft2


area of lateral surface: 75.36 ft2


height of cylinder: 3 ft


128.6 ft 3

226.08 ft 3

150.72 ft 3

175.84 ft 3



bad answers will get banned good answers will get brainlist please

Answers

Volume of a cylinder = area of base x height:

50.24 x 3 = 150.72 ft^3

Answer:

150 ft³

Step-by-step explanation:

base = circle..................base area = area of the circle = πr².

to get the radius of the circle, we substitute from the formula.

let π be 3.142

3.142 × r² = 50.24.............................. 3.142r² = 50.24

divide both sides by 3.142 to get r² = 15.99....................find the square root of 15.99 to get r = 3.999.

VOLUME = πr²h

                = 3.142 × 3.999 ×3.999 × 3 = 150.72 ft³

This is another way of doing it.

Solve for x
1
x

7
=
4

Give your answer as an improper fraction in its simplest form

Answers

Answer:

11

Step-by-step explanation:

1 x − 7 = 4

x=4+7=11

Find the perimeter of the figure. PLEASE HELP ASAP I’LL MARK BRAINLIEST

Answers

Answer:

I believe it should be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

hope this helps!

a bag contains a total of 300 purple and yellow beads. without looking, a student records the color and places it back in the bag. the student records 9 purple beads and 16 yellow beads. whats is the best prediction of the total number of yellow beads in the bag?

Answers

Answer:

It would be 192

Which of these tables represents a function?

Answers

Answer:

Table W represents a function

Step-by-step explanation:

Mathematically, for us to have a function , no two y-values can take a single x value

But it is possible that two x-values have a single y value

So let us make a selection from the table

We have the correct option as;

W

Please help and please don’t give me the bit link it doesn’t work for me

Answers

Answer:

C) There is no clear relationship between period and exam scores.

[tex]\mathtt{: )}[/tex]

the world's largest Apple had a mass of 1849 grams sue said the mass was greater than 2 kilogram does she stament make sense plz help fast ​

Answers

No, 2 kilograms are 2000 grams.

Complete the statement to write a general rule for dividing expressions with exponents.

Answers

Answer:

409

Step-by-step explanation:

I got it right on mine

Find the measures of the numbered angles in the diagram below?

Answers

Answer:

9) 130° (vertical to 130°)

10) 50° (supplementary to 130°, 180° - 130° = 50°)

11) 130° (alternate exterior to 130°)

12) 130° (vertical to 130°)

Step-by-step explanation:

HWLP PLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZ

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

4x + 32 =60       -32  -32______________4x/4=28/4divide this (28/4) and your answer should be 7 hours

Solving a word problem with two unknowns using a linear equation

A total of 629 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

350

Step-by-step explanation:

629= A+S

A-71 = S

629 = A+A-71

700=2A

A=350

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

108 mm^3

Step-by-step explanation:

the formula for a right rectangular pyramid is lwh/3, so if you multiply 6, 6, and 9, you'll get 324

324/3=108

I can't figure this out and didn't see it on brainly, pls help​

Answers

Answer:

it's 8

Step-by-step explanation:

(10×1/5)^3=2^3=8

Answer:

The answer is 8!

Step-by-step explanation:

Subtract the like terms.  As you can see, the 10 in the numerator and denominator have the same base.  Therefore, you can subtract the exponents, which would be 10^1, or 10.  You would do the same for 5, which would be 5^-1, or 1/5.  You would then make this one fraction, the 10 and 5.  The fraction would be 10/5, or 2 once simplified.  Now, don't forget the outside parentheses!  You would do 2^3, and your final answer would be 8.  Hope this helps!

The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet

Answers

Answer:

4 + 4=8

14-8= 6

6/2=3

3 is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

l = length

w = width

p = l + l + w + w

l = 4

w = x

2l + 2w = 14

2(4) + 2w = 14

8 + 2w = 14

2w = 6

w = 3

how to find the following on this tangent equation

Answers

Answer:

17y

Step-by-step explanation:

since the distance of the the two DE and CE is equal to the radius you can compare the two triangles BDE and CDE. since they have two equal sides and one shared side their third side must be equal as well leaving you with DE = CE
15y - 50 = 17y - 62
62 -50 = 17y - 15y
12 = 2y
6 = y
Knowing that y=6 you can conclude that DE=CE=40mm
Since BD and ED create a right angle (sane as CB and CD) you can use the pythagorean theorem to calculate BE
BE^2= CE^2+CB^2
BE^2 = 30^2 + 40^2
BE^2 = 2500
BE = 50mm
im not sure about the last question sorry

A tree grew 92 4/5 feet in 19 1/3 years. What was the average yearly growth rate of the tree

Answers

Exact Form:
26912/15
Decimal Form:
1794.13
Mixed Number Form:
1794 2/15

Answer:

4 247/290 or 4.85 ft/year

Step-by-step explanation:

93 4/5 ÷ 19 1/3 = 469/5 ÷ 58/3 = 469/5 x 3/58 = 1407/290 = 4 247/290

Can someone plz help me with this one problem!!!

Answers

Answer:

Step-by-step explanation:

Answer:

v = 9 m

Step-by-step explanation:

the formula for the perimeter is P = 2W + 2L.

Here the perimeter is 42 m = 2(12 m) + 2v.  Solving for 2v, we get:

42 m - 24 m = 2v, or

v = 21 m - 12 m, or

v = 9 m

GET 30 POINTS IF YOU ANSWER!!! ASAP!!!
Which of the following are true statements? Select all that apply. (2 answers)
If sin A=0.35, cos A=0.94, sin B= 0.58, and cos B=0.81 what is sin(A+B)?

Answers

Answer:

0.93

Step-by-step explanation:

this is the correct answer you want please follow me and make me brainlist

Pls help, 45 points!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

Red is the correct answer

Step-by-step explanation:

An equation is shown below. 16 – 10 + y= 12 What value of y makes the equation true? a. 0 b. 3 c. 6 d. 12

Answers

Answer:

y= 6

Step-by-step explanation:

16-10

=6

6+6

= 12

Y=6

16-10+y=12

6+y=12
-6 -6
————-
Y=6

Check:

16-10+6=12

6+6=12

12=12✅

What is the range of possible sizes for side x

Answers

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2.   (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 16.5

This is the range of possible sizes for side x.

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side? O 3 in. O 6 in. O 10 in. O 18 in.


I need help rigth now brainly is not working​

Answers

Answer:

10 would be the answer.

Step-by-step explanation:

helppppppppppppppppppp

Answers

Answer:

vertical opposite angles are always equal

= 143°

co-interior angles are supplementary ( 180° )

∴ x = 180 - 143 = 37

∴ x = 37°

hope this answer helps you.....

please mark as brainliest.. thank you!

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