let's firstly convert the mixed fractions to improper fractions and then add, bearing in mind that the LCD from 8 and 4 is simply 8.
![\bf \stackrel{mixed}{5\frac{7}{8}}\implies \cfrac{5\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{47}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{47}{8}+\cfrac{11}{4}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)47~~-~~(2)11}{8}}\implies \cfrac{47-22}{8}\implies \cfrac{25}{8}\implies 3\frac{1}{8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B7%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%208%2B7%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B47%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B47%7D%7B8%7D%2B%5Ccfrac%7B11%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%281%2947~~-~~%282%2911%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B47-22%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B25%7D%7B8%7D%5Cimplies%203%5Cfrac%7B1%7D%7B8%7D)
Answer:
Sarah will have $200 after 3 weeks
Step-by-step explanation:
amount saved at the start = $20
amount saved per week = $10
number of weeks = 3
∴ Total savings from allowance after 3 weeks = 10 × 3 = $30
Amount received in birthday money = $150
∴ Total amount saved after 3 weeks = amount saved at the start + Total savings from allowance after 3 weeks + Amount received in birthday money
Total amount saved after 3 weeks = 20 + 30 + 150 = $200
Therefore Sarah will have $200 after 3 weeks
Pythagorean Theorem<h2>
Verbally:</h2>
Let's say a and b are the legs, and c is the hypotenuse. Then, algebraically, the theorem is,
Answer:
I think that the answer is A.
Step-by-step explanation: