Answer:
B) 12.5%
Step-by-step explanation:
1. Find amount spent on clothes in July
$2800 * 8% = j
<em>j = $224</em>
2. Find amount spent of clothes in August
$224 + $126 = a
<em>a = $350</em>
3. Find the amount's percentage of the total
$350/$2800 = x
x = 0.125 = 12.5%
Answer:
m=-7/9
Step-by-step explanation:
The number of cats that you have is; 27 cats
<h3>How to calculate algebra word problems?</h3>
Let the number of cats alice has be x.
Since you have thrice the amount of cats that alice has, then you have 3x cats.
Bob has 7 less cats than you. Thus, bob has; 3x - 7
If they have a total of 56 cats, then;
x + 3x - 7 + 3x = 56
7x - 7 = 56
7x = 56 + 7
7x = 63
x = 63/7
x = 9
Thus, number of cats you have = 3x = 3 * 9 = 27 cats
Read more on algebra word problems at; brainly.com/question/13818690
Answer:
19
Step-by-step explanation:
10[4 times 10 divided by (6^2-4^2) +1]
First you would multiply 6 x 6 = 36
10[4 times 10 divided by (36-4^2) +1]
Second you would multiply 4 x 4 = 16
10[4 times 10 divided by (36-16) +1]
Third you would subtract 36 - 16 = 20
10[4 times 10 divided by 20 +1]
Fourth you would add 20 + 1 = 21
10[4 times 10 divided by 21]
Fifth you would multiply 4 x 10 = 40
10[40 divided by 21]
Sixth you would divide 40 divided by 21 = 1.90
10[1.90]
Seventh you would multiply 10 x 1.90 = 19
Your answer would be 19.
Hope this helps. I am sorry if you get this wrong.
To solve this problem, you have to know these two special factorizations:
Knowing these tells us that if we want to rationalize the numerator. we want to use the top equation to our advantage. Let:
![\sqrt[3]{x+h}=x\\ \sqrt[3]{x}=y](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2Bh%7D%3Dx%5C%5C%20%5Csqrt%5B3%5D%7Bx%7D%3Dy%20)
That tells us that we have:
So, since we have one part of the special factorization, we need to multiply the top and the bottom by the other part, so:
So, we have:
![\frac{x+h-h}{h(\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2})}=\\ \frac{x}{\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2}}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2Bh-h%7D%7Bh%28%5Csqrt%5B3%5D%7B%28x%2Bh%29%5E2%7D%2B%5Csqrt%5B3%5D%7B%28x%2Bh%29%28x%29%7D%2B%5Csqrt%5B3%5D%7Bx%5E2%7D%29%7D%3D%5C%5C%20%5Cfrac%7Bx%7D%7B%5Csqrt%5B3%5D%7B%28x%2Bh%29%5E2%7D%2B%5Csqrt%5B3%5D%7B%28x%2Bh%29%28x%29%7D%2B%5Csqrt%5B3%5D%7Bx%5E2%7D%7D%20)
That is our rational expression with a rationalized numerator.
Also, you could just mutiply by:
![\frac{1}{\sqrt[3]{x_h}-\sqrt[3]{x}} \text{ to get}\\ \frac{1}{h\sqrt[3]{x+h}-h\sqrt[3]{h}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx_h%7D-%5Csqrt%5B3%5D%7Bx%7D%7D%20%5Ctext%7B%20to%20get%7D%5C%5C%20%5Cfrac%7B1%7D%7Bh%5Csqrt%5B3%5D%7Bx%2Bh%7D-h%5Csqrt%5B3%5D%7Bh%7D%7D%20)
Either way, our expression is rationalized.
