Answer:
<em>Square= 12 units</em>
<em>Triangle long sides= 19 units</em>
<em>Triamgle short side= 10 units</em>
Step-by-step explanation:
<em>It is a square, so all sides are the same. That means 3x+3 equals 4x. What number can be subsituted into x to equal 4? If x is 3, then 3x+3 would be 3(3)+3. It equals 12. 4 times 3 is also 12. It works! That also means the square's side is 12 units.</em>
<em>Square= 12 units</em>
<em />
<u><em>So, x=3</em></u>
<em />
<em>The triangle's longer sides are 7x-2. Subsitute x in, which is 3, and you get 7(3)-2. It equals 19. The two longer sides of the triangle are the same length, so both are 19 units.</em>
<em>Triangle long sides= 19 units</em>
<em />
<em>The triangles shorter side is 2x+4. Subsitute 3 in for x and you get 2(3)+4. It equals 10, so the shorter side is 10 units.</em>
<em>Triangle short side= 10 units</em>
The average number of hours can be calculated using the following rule:
average number of hours = total number of hours / total number of weeks
total number of hours = 36 3/8 + 41 1/4 + 40 1/2 + 38 3/8 = 313/2 hours
total number of weeks = 4 weeks
Average number of hours per week = (313/2) / (4) = 39 1/8 hour
Based on the above calculations, the correct answer is:
C. 39 1/8 hour
There are 16 cups in 1 gallon so you would have to turn the denominator in the fraction into a 16 meaning you would multiply by 4 (because 4 goes into 16, 4 times). Your new fraction is 12/16. now you do 6 gallons*16 cups and you get 96 cups. Then you add the fraction onto 96 and you would be adding 12. Your final answer is 108 cups in 6 3/4 gallons
Answer:
(x-4)(x-3)
Step-by-step explanation:
multiply 1 and 12= 12
find two numbers that multiply to get twelve AND add together to get -7(the middle number)
the two numbers are -3 and -4 (they add up to get -7 AND multiply together to get 12)
plug in these numbers for -7x
x(x-3)-4(x-3)
the bolded is the first binomial and the second binomial is in the parenthesis.
(x-4)(x-3)
I hope this helps!
(6.0 x 10^5) x (3.0 x 10^4) = (6 x 3) x 10^(5 + 4) = 18 x 10^9 = 1.8 x 10^10
