Amanda bob and Scott sent a total of 75 messages over the weekend. Bob sent 3 times as many than Scott. Amanda sent 10 fewer messages than Scott. How many messages did they send
Let the total number of messages sent by Scott = S
Bob sent =3S
Amanda sent =S - 10
S + 3S + S - 10 =75, solve for S
5S =75 + 10
S =17 - messages sent by Scott
17 x 3 =51 messages sent by Bob
17 - 10 = 7 messages sent by Amanda. So that:
17 + 51 + 7 =75 - total number of messages sent by all.
- Based on the phrasing of the problem in question, the answer is fairly obvious...
...and in turn...
Then the answer is 30 sets of 5 diamonds equals 150 diamonds are used.
1 diamond times 150 equals 150 diamonds used.
I hope that answers your question?
Traviling upstream on the Mississippi River, a barge travels 56 mi in 7 h. Downstream, it travels the same distance in 4 h. Find the rate of the barge in still water and the rate of the current
56 /7 = 8 mph - its speed upstream
56 / 4 = 14 mph - its speed downstream
[8 + 14] / 2 = 11 mph - its speed in still water.
[14 - 8] / 2 = 3 mph - the rate of the current.
Let x be the number of women in the senate and y the number of men in the senate.'
We know that y=3x+3 (3 + 3 times the number of women)
We know that x+y=111.
With that you can now substitute y for 3x+3 and get the following:
x+y=111 => x+3x+3=111
Check by 84+27=111
Hope it helps
Select all correct statements.
The sine function is positive in quadrant I . yes
The cosecant function is positive in quadrant IV . yes
The cotangent function is negative in quadrant II . yes
The cosine function is negative in quadrant II . yes
The secant function is positive in quadrant III . yes
You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you place the bar from each edge of the door?
(26 1/3 -10 1/4)/2 = (316 - 123) / (12*2) = 193 / 24 = 8 1/24
The bar should be 8 1/24 inches from the edge of the door.
Which statement correctly defines the trigonometric ratio in the unit circle?
The cotangent function of an angle is defined as the length of the segment on the tangent above the unit circle to the radius vector.
The sine function of an angle is defined as the length of the vertical distance from the intersection of the radius vector with the unit circle to the abscissa axis.
The cosine function of an angle is defined as
the projection of the radius vector within the unit circle on the ascissa axis.
The cosekant function of an angle is defined as the length of the radius vector up to the point of intersection with the tangent above the unit circle.