Answer:
3 1/20
Step-by-step explanation:
First, we will convert the mixed numbers into improper fractions...
9 3/10 (9*10=90+3=93) so the improper fraction is 93/10
5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4
We then want to make the denominator the same...
93/10 (*4) = 372/40
23/4 (*10) = 230/40
We then put it into the question...
372/40 - 230/40 = 142/40
Lastly, we now need to turn this into a mixed number...
142/40=3.55 so the answer is 3 2/40
3 2/40 in it's simplest form is 3 1/20
Hope this helps!
Answer:
a. The constant = 45
b. The unit rate is 45 miles per hour
c. d = 45t
Step-by-step explanation:
a. ∵ d ∝ t
∴ d = kt
∵ d = 90 at t = 2
∴ 90 = k(2)
∴ k = 90 ÷ 2 = 45
∴ The constant of proportionality is 45
b. ∵ k = d(miles) ÷ t(hours) = 45
∴ The unit rate is 45 miles per hour
c. The equation is ⇒ d = 45t
Answer:
x = 4.
Step-by-step explanation:
log(x + 6)- log(x - 3) = 1
Using the law log a - log b = log a/b:
log (x + 6)/ (x - 3) = 1
Removing logs:
(x + 6)/ (x - 3) = 10
x+ 6 = 10x - 30
9x = 36
x = 4 (answer).
Step-by-step explanation:
A. 5x=12x-14
you will simplify the equation to the form, which is simple to understand
5x=12x-14
We move all terms containing x to the left and all other terms to the right.
+5x-12x=-14
We simplify left and right side of the equation.
-7x=-14
We divide both sides of the equation by -7 to get x.
x=2
B. 5B+12=BB=28
you will move all terms to the left:
.5B+12-(BB)=0
you will move all terms containing B to the left, all other terms to the right
.5B-BB=-12
Answer:
Ratios of money made by Jackie and Liana = 
Step-by-step explanation:
We have given,
On selling a lemonade :
Money made by Jackie = $24
Money made by Liana = $36
We need to find the ratios of money made by Jackie and Liana by selling lemonade.
So, Ratio = Money made by Jackie / Money made by Liana
or , Ratio = 
or, Ratio =
So, the ratios of money made by Jackie and Liana is
