All categories

3 years ago

Pls pls pls answer! I will mark brainliest!!!! tysm xy = 72 (x + 2)(y - 4) = 128

Mathematics

1 answer:

zheka24 [161]3 years ago

6 0

Answer:

x=2 and y=36

Step-by-step explanation:

you have two equations

1) xy=72 and 2) (x+2)(y-4)=128

solve for one of the variables in equation 2), lets do y

(x+2)(y-4)=128, divide by (x+2) to both sides and add 4 to isolate variable y

therefore, y=(128/(x+2))+4

then plug in y into equation 1)

so x(our new y)=72

x( 128/(x+2) +4 )=72

distribute the x so you will get

(128/(x+2))x +4x=72

we are now solving for x, so isolate the x by subtracting 4x and multiplying by (x+2) to get

128x=(x+2)(72-4x)

multiply by distribution and combine like terms

-4x^2 -64x +144 =0

solve for x by quadratic formula, you'll get x=2 or x=-18

substitute back into equation 1), (2)(y)=72, solve for y to get 36

then you can check by substituting back into equation 2)

(2+2)(36-4)=128

(4)(32)=128, 128=128

You might be interested in

3(4x+1)=15? X= What is the solution?

tensa zangetsu [6.8K]

Answer:

x=1

Step-by-step explanation:

3(4x+1)=15

12x+3=15

12x=15-3

12x=12

x=12/12

x=1

3 0

2 years ago

An ordinary Fair die is a cube with the numbers 1 through 6 on the sides represented by painted spots imagine that such a die is

Hoochie [10]

Answer: Probability of, Event A = 5/18

Event B = 1/2

Step-by-step explanation:

Since, The probability of an event = Number of outcomes of the event/ total number of outcomes.

Since, If a fair dire rolled two times then the total number of outcomes, n(S) = 6 × 6 = 36

And, Event A: The sum is greater than 8.

So, possible outcomes are, ( 3,6), (4,5), (4,6), (5,5), (5,6), (5,4), (6,6), (6,5), (6,4), (6,3)

Thus, n(A) = 10

Since, Probability of event A,

P(A) = n(A)/n(S) = 10/36 = 5/18

Therefore, P(A)= 5/18

Now, Event B: The sum is an even number.

So, possible outcomes are, (1,1),(1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,6), (4,2), (4,4), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Thus, n(B)= 18

Since, Probability of event B,

P(B)= n(B)/n(S) = 18/36 = 1/2

Therefore, P(B)= 1/2

7 0

2 years ago

-5/4-(-1/6) help please

tiny-mole [99]

A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}$

Here, you have
$\dfrac{-5}{4}-\dfrac{-1}{6}=\dfrac{-5\cdot6-(-1)\cdot4}{4\cdot6}=\dfrac{-26}{24}\\\\=\dfrac{-13}{12}=-1\frac{1}{12}$

The sum is -1 1/12

3 0

3 years ago

Three hikers are dividing the costs of a hiking trip evenly. They bought two permits that cost $15 each, three tram tickets that

cestrela7 [59]

Each hiker owes $41 or 4100 cents for the hiking trip.

Explanation

Cost of each permit is $15. So, the cost of two permits will be: $(\$15*2)= \$30$