On the 7th, Andi had $48 in her account. We want to find when she had $92 less than what she had on the 7th.
First, let's find out how much $92 less is:
48 - 92 = -44
We are looking for when Andi had $-44 in her account. Looking at the number line, the day Andi had $-44 in her account was on the 14th.
The correct answer is C. The 14th.
Hope this helps!! :)
The hypotenuse of a 45 45 90 triangle equals one of the legs times the square root of 2
hypotenuse = 8 *
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<span>
<span>
1.4142135624
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</span>
</span>
hypotenuse =
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<span>
<span>
11.3137084990
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</span>
</span>
Source:
http://www.1728.org/trig2.htm
-8
f(-1/2)=10(-1/2)-3
f(-1/2)=(-5)-3
f(-1/2)=-8
In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.
9)
![\frac{5\sqrt{4}}{\sqrt{3}}(\cdot\sqrt{3})=\frac{5\sqrt{4}\sqrt{3}}{(\sqrt{3})^2}=\frac{5\cdot2\cdot\sqrt{3}}{3}=\frac{10\sqrt{3}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B3%7D%7D%28%5Ccdot%5Csqrt%7B3%7D%29%3D%5Cfrac%7B5%5Csqrt%7B4%7D%5Csqrt%7B3%7D%7D%7B%28%5Csqrt%7B3%7D%29%5E2%7D%3D%5Cfrac%7B5%5Ccdot2%5Ccdot%5Csqrt%7B3%7D%7D%7B3%7D%3D%5Cfrac%7B10%5Csqrt%7B3%7D%7D%7B3%7D)
10)
![-\frac{5}{3\sqrt{2}}(\cdot\sqrt{2})=-\frac{5\sqrt{2}}{3(\sqrt{2})^2}=-\frac{5\sqrt{2}}{3\cdot2}=-\frac{5\sqrt{2}}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B3%5Csqrt%7B2%7D%7D%28%5Ccdot%5Csqrt%7B2%7D%29%3D-%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7B3%28%5Csqrt%7B2%7D%29%5E2%7D%3D-%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7B3%5Ccdot2%7D%3D-%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7B6%7D)
11)
![\frac{2\sqrt{3}}{4\sqrt{5}}(\cdot\sqrt{5})=\frac{2\sqrt{3}\sqrt{5}}{4(\sqrt{5})^2}=\frac{2\sqrt{15}}{4\cdot5}=\frac{\sqrt{15}}{2\cdot5}=\frac{\sqrt{15}}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B4%5Csqrt%7B5%7D%7D%28%5Ccdot%5Csqrt%7B5%7D%29%3D%5Cfrac%7B2%5Csqrt%7B3%7D%5Csqrt%7B5%7D%7D%7B4%28%5Csqrt%7B5%7D%29%5E2%7D%3D%5Cfrac%7B2%5Csqrt%7B15%7D%7D%7B4%5Ccdot5%7D%3D%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B2%5Ccdot5%7D%3D%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B10%7D)
12)
40c=520
This is the proper equation because there are 40 quarters in $10. Thus, if we could only fit $10 worth of quarters in each wrapper, we can only fit 40quarters in each wrapper. C represents the amount of wrappers we will need.
Hope this helps!