Answer: 18 quarters & 15 pennies
Step-by-step explanation:Q + p = 33
0.25q + 0.01p = 4.65
p = 33 - q
0.25 q + 0.01 (33 - q) = 4.65
q = (4.65 - 0.33)/(0.24)
q = 18
p = 33 - 18 = 15
In order to find the total amount of the shirt including tax, first convert the tax into a decimal:
4.1/100 = 0.041 %
Next multiply the cost of the shirt before tax by the tax in decimal form:
25 * 0.041 = 1.025
After that you will add the tax cost and the shirt cost:
25 + 1.025 = 26.025
Finally round to the nearest cent:
26.03
Hope this helps and let me know if you have more questions!
See the attached picture. You'll find a tree with four branches at level 1 (each of the four sectors of the spinner). Each of these branches is divided in four sub-branches: the possible results of tossing two coins (HH, HT, TH, TT).
So, there are 16 possible outcomes (numbered below each leaf).
If you want to roll an odd number, you have to take branch 1 or 3 at first level.
Then, for each of those, you have to toss exactly one head, so you have to take HT or TH.
The good outcomes are thus 2, 3, 10 and 11, leading to a probability of 4/16=1/4=25%.
Answer:
y=(3/2)x+-14
First blank: 3
Second blank:2
Last blank:-14
Step-by-step explanation:
The line form being requested is slope-intercept form, y=mx+b where m is slope and b is y-intercept.
Also perpendicular lines have opposite reciprocal slopes so the slope of the line we are looking for is the opposite reciprocal of -2/3 which is 3/2.
So the equation so far is
y=(3/2)x+b.
We know this line goes through (x,y)=(4,-8).
So we can use this point along with our equation to find b.
-8=(3/2)4+b
-8=6+b
-14=b
The line is y=(3/2)x-14.
