Answer:
a) 6.67% b) 500% c) 40% d) 7.5%
Step-by-step explanation:
a. ? % of 75 = 5
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 75 = 5</em>
<em>y% = 5/75</em>
<em>y% = 1/15 x 100</em>
y = 6.67 %
b) ?% of 28 = 140
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 28 = 140</em>
<em>y% = 140/28</em>
<em>y% = 5</em>
<em>y = 5 x 100</em>
y = 500%
c) ?% of 100 = 40
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 100 = 40</em>
<em>y% = 40/100</em>
<em>y% = 2/5</em>
<em>y = 2/5 x 100</em>
y = 40%
d) ?% of 200 = 15
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 200 = 15</em>
<em>y% = 15/200</em>
<em>y% = 3/40</em>
<em>y = 3/40 x 100</em>
y = 7.5 %
!!
first , set the function equal to zero
now we can use this expression to factor
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a is 6, b is 1 and c -2
so, replacing
![\begin{gathered} \frac{-(1)\pm\sqrt[]{1^2-4(6)(-2)}}{2(6)} \\ \\ \frac{-1\pm\sqrt[]{1+48}}{12} \\ \\ \frac{-1\pm\sqrt[]{49}}{12} \\ \\ x=\frac{-1\pm7}{12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B-%281%29%5Cpm%5Csqrt%5B%5D%7B1%5E2-4%286%29%28-2%29%7D%7D%7B2%286%29%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B-1%5Cpm%5Csqrt%5B%5D%7B1%2B48%7D%7D%7B12%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B-1%5Cpm%5Csqrt%5B%5D%7B49%7D%7D%7B12%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-1%5Cpm7%7D%7B12%7D%20%5Cend%7Bgathered%7D)
x has two values
we have the two roots now we chang the sign and make the factor expression
The <em>correct answer</em> is:
Her number is 7.
Explanation:
Let x represent her number.
She triples her number; this is represented by 3x.
She then adds 5 to this; this gives us 3x+5.
She gets 26 aas her answer. This gives us the equation:
3x+5 = 26
To solve this, first subtract 5 from each side:
3x+5-5 = 26-5
3x = 21
Divide each side by 3:
3x/3 = 21/3
x = 7
-- If FE is the longest side in the right triangle, then
the length of the missing side is 22.956... (rounded).
-- If FE is not the longest side in the right triangle,
then the length of the missing side is 25 (exactly).
Answer:
296 dollars
Step-by-step explanation:
