14 + 63 = 2*7 + 9*7 = 7*(2+9)
Answer:
D. 6\sqrt{5}-4\sqrt{7}
Step-by-step explanation:
![3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}](https://tex.z-dn.net/?f=3%5Csqrt%7B5%7D-2%5Csqrt%7B7%7D%2B%5Csqrt%7B45%7D-%5Csqrt%7B28%7D%20%20%20%20%5C%5C3%5Csqrt%7B5%7D-2%5Csqrt%7B7%7D%2B%5Csqrt%7B9%2A5%7D-%5Csqrt%7B4%2A7%7D%5C%5C3%5Csqrt%7B5%7D-2%5Csqrt%7B7%7D%20%2B3%5Csqrt%7B5%7D-2%5Csqrt%7B7%7D%5C%5C%20%206%5Csqrt%7B5%7D-4%5Csqrt%7B7%7D)
Answer:
b = 24/5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
12 = 5/2b
<u>Step 2: Solve for </u><em><u>b</u></em>
- Rewrite: 5/2b = 12
- Divide both sides by 5/2: b = 24/5
<u>Step 3: Check</u>
<em>Plug in b to verify it's a solution.</em>
- Substitute: 12 = 5/2(24/5)
- Multiply: 12 = 12
Answer:
<h3>13 years</h3>
Step-by-step explanation:
Let the present age of Alicia be x
Let the present age of her brother be y
Three years ago;
Alicia age = x - 3
Her brother's age = y - 3
If three years ago Alicia was twice as old as her brother Carlos, then;
X - 3 = 2(Y-3)
x-3 = 2y - 6
x = 2y - 3 ...1
In two years time;
Alicias age = x+2
Her brother's age = y +2
If in two more years Alicia will be just 50% older than Carlos, then;
x+2 = y + 2 + (0.5(y+2))
x+2 = y+2 + 0.5y + 1
x+2 = 1.5y+3
x = 1.5y + 1 ...2
Equating 1 and 2;
2y - 3 = 1.5y + 1
2y - 1.5y = 1+3
0.5y = 4
y = 4/0.5
y = 8
Since x = 2y-3
x = 2(8) - 3
x = 16-3
x = 13
Hence Alicia will be 13 years old today
Answer:
2 candies were left.
Step-by-step explanation:
Number of bags of candies = 4 bags
Number of candies in each bag = 18 candies
Total number of candies = ![4(18)=72](https://tex.z-dn.net/?f=4%2818%29%3D72)
Ms. Rogers put an equal number of these candies into each of 7 gift boxes.
Divide 72 by 7
72 = 7(10) + 2
Here, remainder is 2.
So,
2 candies were left.