Answer:
56.25 pound of the coffee that costs $5 per pound is needed
18.75 pound of the coffee that costs $9 per pound is needed
Step-by-step explanation:
Let the number of pounds be x and y respectively
The total pounds is 75;
So;
x + y. = 75 •••••••(i)
Total cost of first type
9 * x = $9x
Total cost of second type;
5 * y= $5y
75 pound at $6 per pound; total cost of this is;
6 * 75 = $450
Thus;
9x + 5y = 450 ••••••••(ii)
From i, x = 75-y
Put this into ii
9(75-y) + 5y = 450
675 -9y + 5y = 450
4y = 675-450
4y = 225
y = 225/4
y = 56.25
x = 75 - y from i
x = 75-56.25
x = $18.75
Answer:
a function is just a comparison between two quantities so when you go to plot the points, the input is x and the output is y.
Answer:
x = -5
Explanation:
4(2x + 10) = 0
[ Simplify both sides of the equation ]
4(2x + 10) = 0
(4)(2x) + (4)(10) = 0 [Distribute]
8x + 40 = 0
[ Subtract 40 from both sides ]
8x + 40 − 40 = 0 − 40
8x = −40
[ Divide both sides by 8 ]
8x / 8 = −40 / 8
x = -5
1). The inequality says "height is 54 or more".
Any height that is less than 54 does NOT qualify.
2). The sign says "Maximum total weight 800 pounds".
Any weight that's 800 pounds or less is OK.
3). Paula has scored 21, 25, and 15 points.
. . . . . they're NOT all greater than 21
. . . . . they ARE all 25 or less
. . . . . they ARE all less than 30
. . . . . they ARE all 10 or more .
4). First, write down the number of cans that
each student collected, but arrange them in order.
Then check each choice.
A). misses the highest 3 students completely
B). includes everybody
C). misses the lowest 3 students completely
D). OK, but the first and last intervals aren't needed,
because nobody's cans are in those intervals
Answer:
42 mph
Step-by-step explanation:
From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.
Motorcycle in 4 hours at a constant speed of 45 mph travelled
The distance between the motorcycle and the truck is 348 miles, so the truck travelled
If x mph is truck's speed, then
