All categories

3 years ago

The sum of two numbers is 12. The difference of the two numbers is 22. Find the two numbers

Mathematics

1 answer:

valentina_108 [34]3 years ago

7 0

Answer:

-5 and 17

Step-by-step explanation:

The sum of two numbers (let's just say number a and number b) is 12.

a + b = 12

The difference between the same two numbers (still a and b) is 22.

b - a = 22

(Move variable a to the right side to get the following.)

b = 22 + a

(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)

a + (22 + a) = 12

a + a + 22 = 12

2a = -10

a = -5

a + b = 12

-5 + b = 12

b = 17

You might be interested in

Find the number of possible 5 card hands that contain the cards specified the cards are taken from a standard 52 card deck

Zarrin [17]

Answer:

Step-by-step explanation:

Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.

5 red cards.

Ans: 26C5 = 26!/[21!*5!] = 65780

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

4 spades and 1 card that is not a spade.

Ans: [13C4*39C1] = 27885

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

3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.

Ans: 12C3*40C2 = 171,600

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

5 0

3 years ago

(3.2 + 6.8)x - (36 divided by 4)x PLEASE HELPPP

Mrac [35]

Answer:

i dont no but what i got was 10x+144d^3 but do u want to sovle for x i got u X

Step-by-step explanation:

6 0

3 years ago

A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

3 years ago

Dont send me pdfs or links please answer correctly for brainliest

Yuki888 [10]

Answer:

C. Sample: All names are written on pieces of paper and dropped into a container. Three hundred names are drawn.

Step-by-step explanation:

please mark this answer as brainlest

7 0

3 years ago

Read 2 more answers

Solve for v: -8(v - 6) + 7 ≤ -7(v + 1)

meriva

Answer:

V is greater than or equal to 62

4 0

3 years ago