Answer:
Sue must score 94 on the final test to earn a B.
Step-by-step explanation:
There are five tests in total.
Sue's average on the first four tests is 84.
If after the final test, she scores X, she will have a B on average of five tests.
We have the following equation:
86 = (4 × 84 + X)/5
<=> X = 5 × 86 - 4 × 84
=> X = 94
How do you want this solved?
Answer:
Sheila have 6 bills
Step-by-step explanation:
Suppose Sheila has x '20' dollar bills, so the total cost of her bill = $20x
Suppose Tamsin has y '10' dollar bills, so the total cost of her bill = $10y
<h3>Equation 1</h3>
<em>Sheila has a total of $50 more than Tamsin</em>
<h2><em>10y + 50 = 20x</em></h2><h2 /><h3>
Equation 2</h3>
<em>Tamsin has 1 more bill than Sheila.</em>
<h2>y = x + 1 </h2><h2 />
<em>Now solve them by putting value of x in equation </em>
10( x + 1 ) + 50 = 20x
10x + 10 + 50 = 20x
60 = 20x - 10x
10x = 60
x = 60/10
x = 6
and
y = 7
<em> </em>
Tina should buy 6 packs of aa batteries and 2 packs of d batteries. the cost of each is given as.
6 packs of aa batteries = 6x3 = $18
2 packs of d batteries = 2x4 = $8
total cost = 18 +8 = $26
and aa batteries pack are 3 times greater than d batteries.
Your teacher is right. There is no reason to use algebra, which is misused in many problems as a shortcut, and slows the actual learning of math skills.
Here, the solution is as follows:
1. Find the volume of water in tank X.
2. Find the TOTAL base area of the three tanks, imagine that you have a larger tank with the same base area as the sum of the three.
3. Find the height of water in the new tank.
1. Find the volume of water in tank X.
Volume = 32*20*39.5=25280 cm^3
2. Find the TOTAL base area of the three tanks, imagine that you have a larger tank with the same base area as the sum of the three.
Total base area = 32*20 + 30*16 + 20*8 = 640+480+160 = 1280 cm^2
3. Find the height of water in the new tank
Height = Volume / base area
= 25280 / 1280
= 19.75 cm
