The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
product of the two numbers?

Answers

Answer 1

Answer: 40

Step-by-step explanation:

Let the two numbers be a and b.

Therefore,

a - b = 3 ....... i

a + b = 13 ....... ii

From equation I, a = 3 + b

Put a = 3+b into equation ii

a + b = 13

3 + b + b = 13

3 + 2b = 13

2b = 13 - 3

2b = 10

b = 10/2

b = 5

Since a = 3 + b

a = 3 + 5

a = 8

The product of the numbers will be:

= 8 × 5

= 40


Related Questions

If x varies inversely as y and x=12 when y=9, find x when y=54

Answers

Answer:

x = 72

Step-by-step explanation:

We set the two equal to each other

x = 12/y = 9 is equal to x/y = 54.

In order for 9 to get to 54, you have to multiply it by 6. Since you multiplied the denominator with 6, you have to do the same with the numerator. 12 times 6 is 72.

x = 72

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

376.99 cm^3 or 120π cm^3

Step-by-step explanation:

The volume of a cone is 1/3(B*h) where B is the base area and h is height.

The base of a cone is a circle.

Area of a circle=πr^2

Area of the circle=π6^2

Area of the circle=36π

Plug it into the formula for the volume:

V=1/3(36π*10)

V=1/3(360π)

V=120π

V=376.99

If this helped please consider giving brainliest.

ASAP The first swing of a pendulum is 24cm. If each swing ia 3/4 of the previous swing, how many swings will it take till the pendulum swings only 4cm? (round to nearest whole number)
PLS ONLY ANSWER IF YOU KNOW THE ANSWER, NO LINKS PLS. Pls do not answer with links, provide the question please. this is important and the links don't help :(

Answers

wait what???????????????

Divide: (-30x2 - 12x+18)+6

Answers

Answer: -30x^2 -12x + 24

Step-by-step explanation:

1. Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3
show your work​

Answers

Answer:

4x⁶ / y²

Step-by-step explanation:

4(2x³y⁴)⁴ / 2(2x²y⁶)³ = 2(2⁴x¹²y¹⁶) / (2³x⁶y¹⁸) =2(2⁴⁻³)x¹²⁻⁶y¹⁶⁻¹⁸ = 2*2x⁶y⁻² = 4x⁶ / y²

help please
simplify the following using L'Hôpital's Rule:
[tex]\displaystyle\lim_{x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]
[tex]\text{note:explanation is a must}[/tex]​

Answers

Answer:

[tex] \displaystyle \: \frac{5}{4} [/tex]

Step-by-step explanation:

we are given a expression

we are said to solve it using L'Hôpital's Rule

recall, L'Hôpital's Rule:

[tex] \displaystyle \lim _{x \to \: c}( \frac{f(x)}{g(x)} ) = \lim _{x \to \: c} \frac{f ^{'}(x) }{ {g}^{'}(x) } [/tex]

it is to say the ' means derivative

our given expression:

[tex]\displaystyle\lim_{ x\to 2}\frac{x^2+x-6}{x^2-4}[/tex]

let's apply L'Hôpital's Rule

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)}[/tex]

some formulas of derivative

[tex] \displaystyle \: \frac{d}{dx} {x}^{n} = {nx}^{n - 1} [/tex]

[tex] \displaystyle \: \frac{d}{dx} {x}^{} = 1[/tex]

[tex] \displaystyle \: \frac{d}{dx} {c}^{} = 0[/tex]

[tex] \sf \displaystyle \: \frac{d}{dx} {f}^{} (x) + {g}^{}(x) = {f}^{'} (x) + {g}^{'}(x)[/tex]

use sum derivative formula to simplify:

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2)+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ \dfrac{d}{dx} (x^2) + \dfrac{d}{dx} (-4)}[/tex]

simplify using exponents using exponent derivative formula:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ \dfrac{d}{dx} (x) + \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use variable derivative formula to simplify variable:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ \dfrac{d}{dx}( -6)}{ 2x + \dfrac{d}{dx} (-4)}[/tex]

use constant derivative formula to simplify derivative:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1+ 0}{ 2x + 0}[/tex]

simplify addition:

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2x+ 1}{ 2x }[/tex]

since we are approaching x to 2

we can substitute 2 for x

[tex]\displaystyle\lim_{ x\to 2}\frac{ 2.2+ 1}{ 2.2 }[/tex]

simplify multiplication:

[tex]\displaystyle\frac{ 4+ 1}{ 4}[/tex]

simplify addition:

[tex] \displaystyle \: \frac{5}{4} [/tex]

hence,

[tex]\displaystyle\lim_{ x\to 2}\frac{ \dfrac{d}{dx} (x^2+x-6)}{ \dfrac{d}{dx} (x^2-4)} = \frac{5}{4} [/tex]

Answer:

5/4 is your answer hope it helps

a rational number m is called a perfect square if and only if for some positive rational number, m equals​

Answers

if m= a number that can be square rooted to give a whole number

help i dont know what to do

Answers

Hey so the answer is D because when you subtract you would get the other side of the problem

Is f(x+3) independent or dependent

Answers

Answer:

independent

Step-by-step explanation:

f(x+3) means that when x is x + 3, what is y? X is always the input or the independent variable while y is dependant on y.

PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible

Answers

Answer:

No

Step-by-step explanation:

For this triangle to be a right triangle the following has to happen:

a^2 + b^2 = c^2

a=3, b=9, c= 12

3^2+9^2 does not equal 12^2

9+81 = 90        12^2 = 144

90 does not equal 144 so is not a right triangle

Answer:

see explanation

Step-by-step explanation:

Using converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

3² + 9² = 9 + 81 = 90 ≠ 144

Thus the triangle is not right.

Answer quickly! :)

Write an equation to represent the image!

Answers

Answer:

p+p+p = 1/2 or 3p=1/2

Step-by-step explanation:

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!! with (11)(−4) 12=

Answers

Answer:

you just multiply the values inside the parentheses. 11 x -4 x 12, so its -44 x 12, being -528

Step-by-step explanation:

URGENT
what is the surface area of this prism

Answers

Answer:

total surface area = 79.8 cm^2

Step-by-step explanation: open up the prism into nets, and it has a base of 3 and height of 2.6. do 1/2 times 3 times 2.6=3.9*2=7.8.  Then do 3(3*8)=72. 72+7.8=79.8. I believe this is the answer to the best of my ability, hope this helps.


In square YOLA, RL=5x+28 and RO=8X-11
find the measure of RY.
If the answer is 12.8, move to R
If the answer is 93, move to S
If the answer is 13, move to T
If the answer is 25.5, move to u 9 of 15

Answers

Answer:

RL=5x+28 and

RO=8X-11

diagonal of square bisect equally the side

:.5x+28=8x-11

11+28=8x-5x

39=3x

x=39/3=13

RY=RL=5x+28=5×13+28=93If the answer is 93, move to answer.

Can somebody help me with this. Will Mark brainliest.

Answers

Answer:

X=reference angle, 8=opposite side, and 11 is the hypoteneuse

What following number is in between 2/5 and 7/8?

15/16, 3/4, 3/8, 1/3

Answers

Answer:

Step-by-step explanation:

You need to give all the fractions a common denominator so you can compare the numerators.

The least common multiple of 5, 8, 16, 4, 3 is 240.

⅖ = 96/240

⅞ = 210/240

15/16 = 225/240

¾ = 180/240

⅜ = 90/240

⅓ = 80/240

The only numerator between 96 and 210 is 180.

180/240 = ¾

⅖ < ¾ < ⅞

Subtract -2x-10 from 10x^2+3.

Answers

Answer:

x=  10 −  129  i−1   ≈−0.1−1.135781669i

Step-by-step explanation:

(10x^2+3) - (-2x-10) = 10x^2+2x+13

multiplying decimals​

Answers

Answer:

Dividing decimals +×÷=

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Convert the fraction below into a decimal: 9/24​

Answers

Answer:

0,375

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Jake and three of his friends had an Easter egg dying party. Each of the boys received 6 eggs to dye. What was total number of eggs jake and his friends dyed?

Answers

Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Brody has already read 8 books this year before joining a book club,and he plans to read 1 book every month now that he has joined. If Body has read 28 books so far,how many months has he been with his book club?

Answers

Answer: 20 months

explanation: You subtract 8 from 28 since 8 is the amount he had before he joined. He also said he planned on reading 1 book per month after joining the club. You want to subtract the 8 since it isn't relevant to the book club books read.

6+6= (mod 4)
Determine what number the sun is congruent to in mod 4

Answers

Answer:

c gsudhdbxjxjsjsbhxidhsv susb

What is the slope of this graph?

Answers

2/3 is the slope of the graph

homework help plss ill give 10 points and brainliest!

Answers

Answer:

c. 66m

hope that helps!

Answer:

C. 66m

Step-by-step explanation:

Perimeter = 6 + 6 + 8 + 19 + 8 + 13 + 6 = 66m

Hope that helps!

find the value of x :)

Answers

Answer:

57.5

Step-by-step explanation:

(180-65)/2

Write the equation of the graph.

Answers

I believe the equation is f(x) = 2^x -3

A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate times the number of hours h. Dependent Variable: Independent variable: Equation:

Answers

Answer:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Equation: d = 6h

Step-by-step explanation:

In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).

Therefore:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Rate: 6 miles/hr

Equation: d = 6h

Who can help me out with this please??

Answers

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140

[tex]\sqrt{a^2} =\sqrt{140}[/tex]

a = 11.8

Answer:

x = 11.8

Step-by-step explanation:

hypotenuse = 12

1 leg = 10 - 8 = 2

Formula:

a² + b² = c²

a² + 2² = 12²

a² + 4 = 144

a² = 144 - 4

a² = 140


a) What is the mean?
b) What is the median?
c) What is the mode?

Answers

Answer:

Mean- 5

median- 4

Mode- 2

what is the answer to thid expression 2³+(25-35)•5​

Answers

Answer:

-42

Step-by-step explanation:

8 + (-10)5 = 8-50 = -42

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