Answer:
o.25 or (2
Step-by-step explanation:
Answer:
Randy has eight $5 bills and nine $1 bills
Step-by-step explanation:
Randy needs $50.00
And we know that he his only $1.00 short, so he has $49.00
let's define:
x = number of $1 bills that he has
y = number of $5 bills that he has.
then:
x*$1 + y*$5 = $49
We know that he has one more $1 bills than $5 bills.
we can write this as
x = y + 1
So we have a system of two equations and two variables:
x*$1 + y*$5 = $49
x = y + 1
First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:
x*$1 + y*$5 = $49
(y + 1)*$1 + y*$5 = $49
now we can solve this for y.
y*$1 + $1 + y*$5 = $49
y*($1 + $5) = $49 - $1 = $48
y*$6 = $48
y = $48/$6 = 8
He has 8 $5 bills
and we know that:
x = y + 1
x = 8 + 1 = 9
he has 9 $1 bills.
Answer:
1st and 2nd quadrants
Step-by-step explanation:
You have sine is positive since it is 4/5.
Sine is the y-coordinate.
On the coordinate plane y is positive in the 1st and 2nd quadrants.
Answer:
Step-by-step explanation: The earth rotates 34 km every 32 seconds. We can simplify this by dividing both sides by 32. Now, we have 34/32 km every 32 seconds. Now, to further simplify this, we need to convert 34/32 to a mixed number 34/32 = 1 2/32 which then can be simplified to 1 1/16. So, near the equator, the speed of Earth's rotation is 1 1/16 km per second.
Answer:
19/24
Step-by-step explanation:
From the question we are informed that Lisle bought 3/8 pounds of red grapes and 5/12 pound of green grapes
✓3/8 pounds of red grapes and 5//12
✓First thing to do is to add the fractions
But we need " the least common denominator" because their denominator are not the same, we need to make it the same...
✓ The two denominator ( 8 and 12) are both factor of 24, therefore their "least common denominator" is 24.
✓To make 3/8 pounds of red grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 3.
3/8 = (3×3)/(8×3)=9/24
✓To make 5/12 pounds of green grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 2.
5/12= (5×2)/(12×2)= 10/24
✓ we can see they both have the same denominator, then we can now "add both denominators"
(9+10)=19
✓ Then place the addition of the denominators on the least common denominator.
= 19/24.
Therefore, he bought 19/24 of grapes
