Answer:
The sum of half of a number and three-fourths is at least five and one quarter
Step-by-step explanation:
It's all about making sense of an English sentence.
"half the sum ..." is different from "the sum of half ..."
And ...
"at least" and "not less than" mean the same (≥)
"not more than" and "at most" mean the same (≤)
_____
Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.
__
"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"
means the same as ...
"The sum of half of a number and three-fourths is at least five and one quarter"
Let
x----------------------- > number of <span>cans of fruit-----------------> 24 per minute
</span>y----------------------- > number of cans of vegetables-------> 64 per minute
<span>z----------------------- > number of cans of food per minute
t----------------------- > time in minutes
z=(x+y)*t
z=(24+64)*t--------------- > 88t
z=88t---------------------------------- > this is the equation required
we know that z=384
then
</span>384=88t------------- > t=4.36 minutes
Answer:
Option A.
Step-by-step explanation:
Clarissa needs a $2,500 loan in order to buy a car.
There are 4 options of loan we will calculate all the options that pay the least amount of interest.
To calculate the interest we will use this formula :

Where P = Principal amount
R = rate of interest
T = time in years
A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

= $178.125
B) Principal 2,500 interest 4% and time 30 months (2.5 years)

= $250
C) Principal 2,500 interest 4.25% and time 24 months (2 years)

= $212.50
D) Principal 2,500 interest 4.50% and time 36 months (3 years)

= $337.50
The least amount of interest would be in option A.
Answer:
b. log6561(9) = 1/4
Step-by-step explanation:
The relationship between the exponential form and the log form is ...

The exponent is the logarithm. The base is the value the exponent is being applied to.
Here, you have ...

Comparing this to the form above, we see ...
b = 6561, n = 1/4, x = 9
so the log form of the equation is ...

This matches choice B.
Answer:
Therefore the only statement that is not true is b.)
Step-by-step explanation:
There employees are 6 secretaries, 5 consultants and 4 partners in the firm.
a.) The probability that a secretary wins in the first draw
= 
b.) The probability that a secretary wins a ticket on second draw. It has been given that a ticket was won on the first draw by a consultant.
p(secretary wins on second draw | consultant wins on first draw)
=
=
.
The probability that a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw =
is not true.
The probability that a secretary wins on the second draw = 
c.) The probability that a consultant wins on the first draw =

d.) The probability of two secretaries winning both tickets
= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)
= 
Therefore the only statement that is not true is b.)