find two numbers if their sum is 7.2 and their difference is 2.7

Answers

Answer 1

Answer:

4.95 and 2.25

Step-by-step explanation:

x+y=7.2

x-y=2.7

Add equations

x+y + x-y= (2x-y+y)=2x

7.2+2.7=9.9

Therefore 2x=9.9 x=9.9/2=4.95

x=4.95

x+y=7.2

4.95+y=7.2

y=7.2-4.95=2.25

y=2.25

Answer 2

Answer:

4.95 and 2.25.

Step-by-step explanation: This is really long... (PLEASE TAKE NOTE THE INFO ISNT DIRECTLY WRITTEN BY ME).


Adding equations (1) and (2), we get

Therefore

x=4.95


Substituting value of x from (3) in (1), we get


y=2.25


From (3) and (4), the two numbers are 4.95 and 2.25.


Related Questions

Given the perimeter of a square is (8x-6). What is the area,in cm², of the square ?​

Answers

Answer:

16x² - 24x + 9

Step-by-step explanation:

One side = (8x-6)÷4

One side = 2x - 3/2

Area = (2x-3/2)(2x-3/2)

Open the brackets

2x(2x-3/2) - 3/2(2x-3/2)

= 16x² - 24x + 9

What is the constant of proportionality in dollars per granola bar?

Answers

Answer:

4 granola bars is $9.00 12 granola bars is $27.00 24 granola bars is $54.00

: Have a nice day!!! :)

What would the answer be, also how do I work it out ?

Answers

Answer:

The distance is √58

or 7.61577...

Step-by-step explanation:

If you draw a right triangle where the given line is the hypotenuse you can use Pythagorean theorem (a²+b²=c²) to find the length.

It would be 7 units tall and 3 units wide.

7²+3²=49+9=58

The distance is √58

How would I find the answer

Answers

Answer:

by posting a question :)

Step-by-step explanation:

Answer:

Um, you didn't provide anything for me to answer so i don't really know what to provide for you.

Step-by-step explanation:

x: -2, 0, 2, 4, 6

y: 3, 3, 4, 4, 5

Function or Not a function?

Answers

function
if the numbers are different it’s okay to have a different output but, if the same number has more than one output it is not a a function.

Find the value of x.
(7x+ 31)

Answers

Here we will show you how to solve 7x = 31. In other words, we will solve for x in order to find the value of x in this equation:

7x = 31

The goal is to get x by itself on the left side. First, we divide both sides by 7 like this:


7x


7

=

31


7


When a numerator and denominator value are the same, then you can eliminate them by crossing them out:


7x


7

=

31


7


Then you are left with x by itself on the left like this:

x =

31


7


Finally, 31 over 7 is the same as 31 divided by 7. So, we enter that into our calculator to get the final answer:

x ≈ 4.429

Is 20b+16c equal to 4(4b+5c)

Answers

Answer:

No

Step-by-step explanation:

Simplify : Distribute

4(4b+5c)

16b+20c

Hence, 4(4b+5c) equal to 16b+20c.

The exponential function hhh, represented in the table, can be written as h(x)=a\cdot b^xh(x)=a⋅b
x
h, left parenthesis, x, right parenthesis, equals, a, dot, b, start superscript, x, end superscript.
xxx h(x)h(x)h, left parenthesis, x, right parenthesis
000 101010
111 444
Complete the equation for h(x)h(x)

Answers

The cοmplete equatiοn fοr h(x) is h(x)=4

What is an expοnential functiοn?  

An expοnential functiοn is a mathematical functiοn οf the fοrm f(x) = a^x, where a is a cοnstant and x is the variable. The cοnstant a is called the base οf the expοnential functiοn, and it is typically a pοsitive real number. When a is greater than 1, the functiοn represents expοnential grοwth, while when a is between 0 and 1, the functiοn represents expοnential decay.

Expοnential functiοns have sοme special prοperties, such as the fact that the rate οf change οf the functiοn is prοpοrtiοnal tο its value. In οther wοrds, the larger the value οf the functiοn, the faster it grοws οr decays. Expοnential functiοns alsο have a hοrizοntal asymptοte at y = 0 when a is between 0 and 1, and nο hοrizοntal asymptοte when a is greater than 1.

Expοnential functiοns are widely used in mathematics, science, ecοnοmics, and engineering tο mοdel phenοmena that exhibit expοnential grοwth οr decay, such as pοpulatiοn grοwth, radiοactive decay, and cοmpοund interest. They are alsο used in prοbability theοry tο mοdel the distributiοn οf randοm variables, such as the expοnential distributiοn.

Tο cοmplete the equatiοn fοr h(x), we need tο find the values οf a and b in the expοnential functiοn that cοrrespοnd tο the given table οf values:

x | h(x)

0 | 10

1  | 10

2 | 10

3 | 4

4 | 4

5 | 4

Since the value of h(x) is constant (equal to 10) for x = 0, 1, and 2, we know that  [tex]b^0 = b^1 = b^2 = 1[/tex], which implies that b = 1.

Substituting b = 1 into the exponential function, we have:

[tex]h(x) = a * 1^x = a[/tex]

To find the value of a, we can use any of the given values of h(x) for which x > 2. For example, when x = 3, we have:

h(3) = 4 = a

Therefore, the complete equation for h(x) is:

[tex]h(x) = 4 * 1^x = 4[/tex]

To know more about exponential function visit:

brainly.com/question/30127596

#SPJ1

What is the ratio for sinM (Look at the picture)

A) 7/24

B) 7/25

C) 25/24

D) 24/25

Answers

Answer:

B) 7/25

Step-by-step explanation:

sin M = opposite/hypotenuse = 7/25

Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? If you get stuck, consider using the table.

Answers

Answer:

960 pennies or $ 9.60

Step-by-step explanation:

2400/2.5 = 960 pennies

Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.

Answers

Answer:

x = 90

Step-by-step explanation:

Roberto wrote a sentence that describes an equation. Half of a number is 45. Which choice shows Roberto’s equation and its solution? 2 x = 45; x = 90 StartFraction 45 Over 2 EndFraction = x; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 22. 5 StartFraction x Over 2 EndFraction = 45; x = 90.

(1/2)x = 45

x = 45 * 2

x = 90

--------------------

check

90 : 2 = 45

the answer is good

Your answer is  [tex}x = 45 * 2x = 90[/tex]

x = 45 * 2

x = 90

90 : 2 = 45

Hope this helps

Sorry if the thing says alot of "tex". Trying something new

what is x - 2 5/8 = 6 1/4

Answers

Answer:

8 7/8 is the correct answer

Step-by-step explanation:

hope this helps

[tex]x - 2 \frac{5}{8} = 6 \frac{1}{4} [/tex]

[tex]x - \frac{21}{8} = \frac{25}{4} [/tex]

[tex]x = \frac{50}{8} + \frac{21}{8} [/tex]

[tex]x = \frac{71}{8} [/tex]

[tex]x = 8 \frac{7}{8} [/tex]

How many solutions to this

Answers

Answer:

one-solution

Step-by-step explanation:

1-12-3b=-3b+15

-11-3b=-3b+15

-3b=-3b+15+11

3b-3b=26

b=26

How many cubes are there

Answers

Answer:

there are 9 cubes

make me brainliest if u r satisfied

Answer:

there are 9 cubes

:) ㅡㅡㅡㅡㅡ

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a club?.

Answers

Answer:

52-1=51+1=52/4=13/4=3

answer: 1 out 0f 52

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: I took the test

Suzanne drives 180 miles in 3 hours. What is her average speed in miles per hour?

Answers

Answer: 180 miles x 3 hours = 540

540/2 = 270

270 is the average speed

Step-by-step explanation:

Write the product as a power.
15⋅15⋅15⋅15

Answers

Answer:

[tex]15^4[/tex]

Step-by-step explanation:

Given the following question:

[tex]15\times15\times15\times15[/tex]

In order to find the exponent of the given expression we count how many times the number is being multiplied by itself, that number would then be the exponent.

[tex]15\times15\times15\times15[/tex]
They're four 15's
[tex]15^4[/tex]

To prove the answer:
[tex]15\times15\times15\times15=50625[/tex]
[tex]15^4=50625[/tex]
[tex]15^4[/tex]

Hope this helps.

can someone pleaseeee helpppp me find the hypotenuse of x?
225 cm
55°
390cm
165cm
168cm
pleaseeee i need the calculations toooooo

Answers

Answer:

280.8

Step-by-step explanation:

use the pythagorean theorem to find x

225^2 + 168^2 = x^2

[tex]\sqrt{168^{2} + 225^{2} }[/tex] = x

280.8

Rearrange the equation to isolate E:
M=

Answers

Answer:A

Step-by-step explanation:

The solution is in the file below

If a sprinkler waters 1/15 of a lawn in 1/3 hour, how much time will it take to water the entire lawn?

Answers

Answer:

ok so first we know that 1/3 of a hour is 20 minutes since

60*1/3=20

so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15

20*15=300

300 minutes or 5 hours

Hope This Helps!!!

Answer:

5 Hour

Step-by-step explanation:

For 1/15 of lawn it takes = 1/3

So, for entire lawn it will take = 1/3 * 15 = 5

For more information on this question look at https://brainly.com/question/7541140

[RevyBreeze]

pls help! only if ur sure of the answer tysm

Answers

Answer:

B) [tex]f(x)=27(\frac{1}{3})^x[/tex]

Step-by-step explanation:

B) [tex]f(x)=27(\frac{1}{3})^x[/tex]

[tex]f(0)=27(\frac{1}{3})^0=27[/tex]

[tex]f(1)=27(\frac{1}{3})^1=9[/tex]

[tex]f(2)=27(\frac{1}{3})^2=3[/tex]

[tex]f(3)=27(\frac{1}{3})^3=1[/tex]

[tex]f(4)=27(\frac{1}{3})^4=\frac{1}{3}[/tex]

Given the function below, find f (3/2). f(x) = 2x^2 - 7x​

Answers

Answer:

3 has to be 3

Step-by-step explanation:

n neg so 3

what is the vertex of the graph of the quadratic function f(x)= x^{2} + 6x + 10?

Answers

Answer:

vertex = (- 3, 1 )

Step-by-step explanation:

given a quadratic in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 6x + 10 ← is in standard form

with a = 1, b = 6 , then

x = - [tex]\frac{6}{2}[/tex] = - 3

substitute x = - 3 into f(x) for corresponding y- coordinate

f(- 3) = (- 3)² + 6(- 3) + 10 = 9 - 18 + 10 = 1

vertex = (- 3, 1 )

is -11/-3 positive or negative

Answers

[tex] \huge \boxed{ \tt positive}[/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow \sf \dfrac{ - 11}{ - 3} [/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow \sf \dfrac{ \cancel- 11}{ \cancel - 3} [/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow \sf \dfrac{ 11}{ 3} [/tex]

Divide using long division
pls show work
9x^3+18x^2-4x-8/3x-2

Answers


Answer: 3x^2+8x+4

Explanation:
3x-2 | 9x^3+18x^2-4x-8 =3x^2+8x+4
- 9x^3- 6x^2
24x^2-4x
- 24x^2-16x
12x-8
- 12x-8
0

l=8cm b=6cm h=5cm
find the total surface area and volume of cuboid

Answers

Hello!
Answer:surface area = 288
volume=240
Step-by-step explanation:
first, we have to find the area
area= l x b
area = 8 x 6
=> 48
now we have to multiply it by 6
48 x 6=288
surface area is equal to 288
and
volume=l x b x h
volume = 8 x 6 x 5
volume is equal to 240

An 8-bar package of soap sells for $4.00. What is the unit rate in cost per bar

Answers

8 x .50 = $4.00
Therefore the answer will be .50

Given the volume of the cone below, identify the radius, height, and diameter.

Note: Figure is not drawn to scale.








Answers

Given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:

Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cm

What is the Volume of a Cone?

Volume of a Cone = 1/3 × πr²h

Given that the volume of the cone is: 60π

Thus:

Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 2(6) = 12 cm

Thus:

Volume = 1/3 × π × 6² × 5

Volume = 1/3 × π × 6² × 5 = 60π

Therefore, given the volume of the cone to be 60π, the radius, height, and diameter of the cone would be:

Radius (r) = 6 cmHeight (h) = 5 cmDiameter (d) = 12 cm

Learn more about volume of cone on:

https://brainly.com/question/13677400

Answer:

Here is the answer as a picture.

Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Stein receive if he give the cashier $20.00? *

Answers

Answer:

$13.70

Step-by-step explanation:

20 - 2.25 x 2.8

20-16.3 = 13.7

would appreciate some help! :)
AABC ~ AQRS
Find the missing side length, m.
R
B
15
m
А-
С
4.
s
10
m = [?]
=

Answers

Answer:  6

===========================================

Work Shown:

AC/QS = BC/RS

4/10 = m/15

4*15 = 10*m

60 = 10m

10m = 60

m = 60/10

m = 6

The first equation is possible because the triangles are similar. The horizontal sides AC and QS form the ratio AC/QS. This is equal to the ratio of the diagonal sides BC/RS since similar triangles have their sides in proportion.

After the equation is set up, we cross multiply and then solve for m.

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