![( - \frac{3}{4} )( \frac{7}{8} )](https://tex.z-dn.net/?f=%28%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20%29%28%20%5Cfrac%7B7%7D%7B8%7D%20%29)
![= \frac{ - 3}{4} \times \frac{7}{8}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B8%7D%20)
![= \frac{ - 21}{32}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%2021%7D%7B32%7D%20)
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![( \frac{2}{3} )( - 4)(9)](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B2%7D%7B3%7D%20%29%28%20-%204%29%289%29)
![= \frac{2}{3} \times - 4 \times 9](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20%20-%204%20%5Ctimes%209)
![= \frac{ - 72}{3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%2072%7D%7B3%7D%20)
![= - 24](https://tex.z-dn.net/?f=%20%3D%20%20-%2024)
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![( \frac{5}{16} )( - 2)( - 4)( - \frac{4}{5} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B5%7D%7B16%7D%20%29%28%20-%202%29%28%20-%204%29%28%20-%20%20%5Cfrac%7B4%7D%7B5%7D%20%29)
![= \frac{5}{16} \times - 2 \times - 4 \times \frac{ - 4}{5}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B5%7D%7B16%7D%20%20%5Ctimes%20%20-%202%20%5Ctimes%20%20-%204%20%5Ctimes%20%20%5Cfrac%7B%20-%204%7D%7B5%7D%20)
![= \frac{ - 160}{80}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%20160%7D%7B80%7D%20)
![= \frac{ - 16}{8}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%2016%7D%7B8%7D%20)
![= - 2](https://tex.z-dn.net/?f=%20%3D%20%20-%202)
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![(2 \frac{3}{5} )( \frac{7}{9} )](https://tex.z-dn.net/?f=%282%20%5Cfrac%7B3%7D%7B5%7D%20%29%28%20%5Cfrac%7B7%7D%7B9%7D%20%29)
![= \frac{13}{5} \times \frac{7}{9}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B13%7D%7B5%7D%20%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B9%7D%20)
![= \frac{91}{45}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B91%7D%7B45%7D%20)
Helen = 30 T (T = tickets)
Gina = 30 + 20 = 50 T
20% of 50 = 10
30 + 10 = 404
50 - 10 = 40
Gina must give 20% of her tickets for them to have equal amount of tickets.
Hope this helps!!
In this item, it is assumed that since the pattern is cut out of the paper which is usually a rectangle then, the shape of the pattern is also rectangle. The perimeter of the rectangle is,
P = 2L + 2W
The area is equal to,
Area = L x W
If we assume that length and width are equal, in order to maximize the space.
1600 cm² = L x L
The value of L from the equation is 40 cm.
Answer:
¬(W∨S)→¬(J∨E)
D→(B∨C)
X is true
No
Step-by-step explanation:
The hypotheses "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.
The hypothesis here is "the dyer breaks" hence D is the hypothesis. The conclusion is "we will hang the clothes to dry, or take the clothes to a coin-operated laundry" which is the same as (B∨C).
The proposition p→p is always true (according to truth tables). In this case, p:=X is true, then p is true and X is true.
X∨Y is false if and only if X is false and Y is false, so both statements X,Y must be false.