Answer:
7,9,11
Step-by-step explanation:
Let first number is x, second number is (x+2) and third number is (x+4).
ATQ,
The product of the smaller two integers is 3 less than 6 times the largest integer.
x(x+2) = 6(x+4)-3
x² + 2x = 6x+24-3
x² + 2x = 6x+21
x² + 2x -6x -21=0
x²-4x -21=0
It is a quadratic equation whose solution is :
x = -3 and x = 7
First number = 7
Second number = 9
Third number = 11
Hence, this is the required ssolution.
Ok, this is a ratio problem; the ratio of the length to width is constant (and therefore equal): 4 /6 = 15 / x Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc. Let's cross-multiply: 4x = (15)(6) x = 90/4<span> x = 22.5 in. </span>
To find compound probability, multiply the probability of the first and second events. In this case, if you wanted to draw the green first and then the blue, 10/24 or 5/8 times 6/23 equals 30/184 which reduces to 15/92.
Answer: x=-2 y=2
Step-by-step explanation:
I decided that isolating the y value of the second equation is the best way to start solving.
I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.
The multiplying the 3 by the denominator three cancels each other out to make:
4x+4-x=-2.
We subtract 4 on both sides and then subtract x from 4x.
We end up with 3x=-6. Then, we divide both sides by 3.
x=-2.
Now we substitute this into the second equation to solve.
3y=4-(-2)
This becomes 3y=4+2 which is 3y=6
We divide both sides by 3 to get y=2
We end up with x=-2 and y=2.
I hope you learned something :)
Answer:
<em>1,860</em>
Step-by-step explanation:
FIRST:
we divide 124 by 4 because in 4 minutes he can type 124 words, and we need to figure out how many he can type in a minute.
124 divided by 4 is 31. (they can type 31 wpm)
NEXT: now we know they can type 31 wpm, we need to multiply that number by 60 because there are 60 minutes in an hour.
31 x 60 = 1,860
therefore, they can type 1860 words per hour
hope i helped have a great day/night! :'')
