Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and mad $139. How many hours did she spend babysitting?
Answers
139=5b+12m
hope it helped youu!!
she spent 11 hours babysitting and 7 hours giving music lessons. 5 × 11 + 12 × 7 = 139
Is y=7.5x a proportional relationship and why
Answers
Direct Proportion functions look like this:
y=kx
'k' is the constant of proportionality and in this case its 7.5 or 15/2.
--------------------------------------------
When x=1, y=7.5 When x=2, y=15 When x=3, y=22.5
Therefore y is directly proportional to x.
--------------------------------------
DIRECT PROPORTION EXPLAINED:
Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C∝f, therefore C=kf, but as k=7.5, C=7.5f.
INVERSE PROPORTION EXPLAINED:
If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.
T=time to set up a wall b=bricklayer(s)
Therefore T∝1/b, and T=k/b. In this case k=8 so T=8/b.
When b=1, T=8. When b=2, T=4.
We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.
$126 to $150 find the percent change
Answers
Initial cost = $126 Final cost = $150 Then Amount of change = (150 - 126) dollars = 24 dollars Then Percentage change = (24/126) * 100 = 2400/126 percent = 19.05 percent So from the above deduction we can easily conclude that the percentage change is 19.05%. I hope the procedure is simple enough for you to easily understand. You can generally use this method for solving similar kind of problems in future without requiring any kind of help from outside.
$150 - $126= $24
$24/ $126* (100/100)= 19.05%
The percent change is 19.05%.
.82 divided by 16.4 round to hundredths if necessary
Answers
.82 / 16.4 = 0.05 (rounding was not necessary.)
Evaluate the expression 3.5 m
Answers
This doesn't make sense its just multiplying 3.5 times whatever m is equal to. Did that help?
is there anything else to it..
Please help.a recipe for eggnog calls for 2 eggs for every 3 cups of milk. If there are cups in a quart, how many eggs will be needed to mix with 6 quarts of milk?
Answers
If there are 4 cups in every quart, and there are 6 quarts, that mean there are 24 cups of milk. If you take 24 and divide it by 3 cups each, you will get 8 sets with 3 cups in each set. For every set, you need to add 2 eggs, so that would be 16 eggs for the total of 6 quarts. Answer is 16 eggs.