Short Answer 10
The tough part is the number of drinks.
Let the number of them be x
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
The tip is not included in the tax, and the tax does not include the tip. You can shorten this up quite a bit.
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
(1 + 10/100 + 7 /100) (4.5x + 3) ≤ 60 Combine the tax, tip, scone and Lattes
(1.17) * (4.5x + 3) ≤ 60 Divide by 1.17
4.5x + 3 ≤ 60 / 1.17
4.5x + 3 ≤ 51.28 Subtract 3
4.5x ≤ 48.28 Divide by 4.5
x ≤ 48.28 / 4.5
x ≤ 10.72
Discussion.
There's a problem. He can't buy 0.72 of a Latte. He can only buy 10 of them. In this case we must round down so what happens if he buys 10 lattes? Does the price the taxes and the tip allow him to get another Latte? The answer should be no because then you would be 11 lattes and the tip and taxes would push you over 60 dollars. But be careful, sometimes things like this can alter you answer..
Answer: 10 <<<<
Answer:
See below in bold.
Step-by-step explanation:
(1) cosec ( x + 10) = 3
Now cosec x = 1/sin x so
1 / sin (x + 10) = 3
3 sin (x + 10) = 1
sin (x + 10) = 1/3
x + 10 = 19.47 , 160.53 degrees
x = 9.47, 150.53 degrees.
(ii) cot (x - 30) =0.45
cot (x - 30)= 1 /tan (x- 30) so we have
tan (x - 30) = 1 / 0.45 = 2.2222
x - 30 = 65.77 degrees
x = 95.77 degrees.
Answer:
it takes 2 seconds to do one situp
it takes 2 seconds to do one pushup
to do 14 pushups, it takes 28 seconds.
to do 12 situps it takes 24 seconds
to do 12 pushups, it takes 24 seconds
BRAINLIEST PLEASE!
hope this helps :)
Step-by-step explanation:
14x + 12y = 52
12x + 12y = 48
^^^ this is an inequality that we can make.
x stands for pushups
y stands for situps
if we subtract the second equation from the first, we get
2x = 4
x = 2
now we can place x in one of the equations to solve for y
12(2)+12y=48
24 + 12y = 48
12y = 24
y = 2
77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.
Answer:
for the first one I got y=-2x-2 the second part i got y=-x-1 or -1x-y-1=0 Correct me if I am wrong
Step-by-step explanation:
Use the slope formula
-4-4 =-8
/ =-2
1 - -3=4
2. The second part use this formula y-y1=m(x-x1)
y--4=-1(x-3)
y+4=-x+3
-4 -4
y+0=-x-1
y=-x-1 or -1x-y-1=0 I am not sure
