Answer:
Hi there!
Your answer is:
2 & 1/4 <u>OR</u> 2.25 cups fills the container!
Step-by-step explanation:
If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:
we know that <em>half</em> of 3/2s fills 1/3 of the container
To find half of 3/2, we multiply 3/2 by the <em><u>inverse</u></em> of 2, which is 1/2.
3/2÷2
3/2×1/2 = 3/4 ths
Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.
3/4+ 1&1/2 = 2 & 1/4
Check your work!
3/4 × 3 should equal 2&1/4 if we are correct
3/4 × 3/1 = 9/4.
Simplify!
9/4 = 2&1/4
That tells us that <u>we</u><u> </u><u>are</u><u> </u><u>correct</u><u>!</u>
Hope this helps!
Answer:
Step-by-step explanation:
Step 1
Find the value of x
we know that
In an inscribed quadrilateral the opposites angles are supplementary
so
In this problem
substitute the values and solve for x
step 2
Find the measure of angle B
substitute the value of x
Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b)
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5) Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2
4m = 12x + 40
8x + 8x + 12x + 40 + 4m = 360
28x + 40 + 12x + 40 = 360
x = 7
m = 12(7) + 40 = 124
Answer: bsf google
Step-by-step explanation: go to google look it up and find the answer