Answer:
x = 5/3
Step-by-step explanation:
Solve for x:
7 x - 15 = -2 x
Add 2 x to both sides:
7 x + 2 x - 15 = 2 x - 2 x
2 x - 2 x = 0:
7 x + 2 x - 15 = 0
7 x + 2 x = 9 x:
9 x - 15 = 0
Add 15 to both sides:
9 x + (15 - 15) = 15
15 - 15 = 0:
9 x = 15
Divide both sides of 9 x = 15 by 9:
(9 x)/9 = 15/9
9/9 = 1:
x = 15/9
The gcd of 15 and 9 is 3, so 15/9 = (3×5)/(3×3) = 3/3×5/3 = 5/3:
Answer: x = 5/3
They can be chosen in 12,444 ways.
There are three different scenarios that have more boys being chosen than girls:
5 boys and 0 girls
4 boys and 1 girl
3 boys and 2 girls
We will set up combinations for all 3 of these scenarios:
Answer:
0
Step-by-step explanation:
<u>Answer:</u>
<em>First Equation → </em><u><em>y = 21/4</em></u>
<em>Second Equation → </em><u><em>x = -1/57</em></u>
<u />
<u>Explanation:</u>
<em>solving equation #1</em>
<em></em>
step 1 - simplify
<em></em>
step 3 - multiply each side of the equation by six
step 4 - add three to both sides of the equation.
step 5 - add three y to both sides of the equation.
step 6 - simplify
step 7 - divide both sides of the equation by four
Therefore, the solution to the first given equation is <u><em>y = 21/4 </em></u><em>or y = 5.25.</em>
<u><em /></u>
<em>solving equation #2</em>
<em />
step 1 - simplify.
step 2 - multiply each side of the equation by five.
step 3 - subtract twenty x from each side of the equation.
step 4 - divide each side of the equation by negative nineteen.
step 5 - switch
Therefore, the solution to the second equation is <em><u>x = -1/57.</u></em>
Answer:
You can draw three rectangles:
1- 28 * 1.
2- 14*2
3- 7*4
Step-by-step explanation:
We have a total area of 28. If we use only integer numbers, we can find all the divisors of 28. The possible rectangles will be organized with them, taking into account that the product of them, which means the area should be 28.
28 = 1*2*2*7
We can organize them as follows:
R1: 28 = 1*28
R2: 28 = 2*14
R3: 28 = 4*7
Finally, we can conclude that there are only three possibilities
1- 28 by 1.
2- 14 by 2
3- 7 by4
The perimeters will be:
Perimeter 1 = 2x1 + 2x28 = 58
Perimeter 2 = 2x2 + 2x14 = 32
Perimeter 3 = 2x4+2x7 = 22