Answer:
Melanie has 6 autographed baseballs.
Step-by-step explanation:
Diego has 4 times as many autographed baseballs as Melanie, and Diego has 24. 24/4 = 6.
Answer:
They sold 400 Dollhouses
Step-by-step explanation:
Grab a calculator! It's pretty simple.
Apply 240,000 in the calculator, and divide it by 600! That's it ! You now hvae 400. Thats how many dollhouses they sold!
Answer:
Step-by-step explanation:
If Thaddeus drives the whole 16 hours, the distance between them is ...
distance = speed · time
distance = 20 mi/h · 16 h
distance = 320 miles.
It is 45 miles more than that. For each hour that Ian drives, their separation distance increases by (25 mph -20 mph)·(1 h) = 5 mi. Then Ian must have driven ...
(45 mi)/(5 mi/h) = 9 h
The rest of the 16 hours is the time that Thaddeus drove: 7 hours.
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Let x represent the time Ian drives. Then 16-x is the time Thaddeus drives. Their total distance driven is ...
distance = speed · time
365 mi = (25 mi/h)(x) + (20 mi/h)(16 h -x)
45 mi = (5 mi/h)(x) . . . . . . . . subtract 320 miles, collect terms
(45 mi)/(5 mi/h) = x = 9 h . . . . . . divide by the coefficient of x
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<em>Comment on the solution</em>
You may notice a similarity between the solution of this equation and the verbal discussion above. (That is intentional.) It works well to let a variable represent the amount of the highest contributor. Here, that is Ian's time, since he is driving at the fastest speed.
Answer:
y = 0.0765x
Step-by-step explanation:
We have that:
y is the total taxes paid.
x is the total wages earned.
The total taxes paid is a function of the total wages earned.
For wages less than the maximum taxable wage base, Social Security contributions (including those for Medicare) by employees are 7.65% of the employee's wages.
So 7.65% of the total wages earned are paid in taxes. We write the percentage as a decimal, so 7.65/100 = 0.0765
So the answer for a) is:
y = 0.0765x
<span>the balanced net ionic equation for the precipitate reaction
</span>
Na2SO4 + Ba(NO3)2 -------------> <span>BaSO4 + Na2(NO3)2
</span><span>the number of moles of sulfate in the sample
M = m /n
M molar mass
m mass
n number of moles
so n =m/M
n = 8.642/233.33=0.037mol
</span>