Answer:
2/3
Step-by-step explanation:
Choose two points from the graph; count how far one point is away from the other. Simplify if needed.
Answer:
$2.06
Step-by-step explanation:
$2.99 x 6 = $17.94
$20.00 - $17.94 = $2.06
Hope this helps
Answer: $0.26
Step-by-step explanation:
Cost of 6 pens
= 2.99 x 6
= 17.94
Add sales tax at 10%,
= 17.94 x 1.1
= 19.74
Change due to me
= 20 - 19.74
= 0.26
function f(x) = 2x + 20. How much money will Richard pay this month if he rents 5 video
games?
Answer:
Richard will pay $30.
Step-by-step explanation:
Because "x" is equivalent to the amount of video games he rents, you would replace "x" with 5. Do the math, and you would get 10+20=30! Hope this helps!
How many whiskers does a manatee have?
Answer:
600 whiskers
Step-by-step explanation:
If you multiply 24 by 25 you get 600
Step-by-step explanation:
If x is the kilograms of 30% chocolate, and y is the kilograms of 50% chocolate, then:
x + y = 200
0.30x + 0.50y = 0.46(200)
Solving the system of equations with substitution:
0.30x + 0.50(200 − x) = 0.46(200)
0.30x + 100 − 0.50x = 92
8 = 0.20x
x = 40
y = 200 − x
y = 160
The distributor needs 40 kg of 30% chocolate and 160 kg of 50% chocolate.
To obtain 200 kilograms of a 46% fat-content chocolate, the candy distributor needs to mix 40 kilograms of a 30% fat-content chocolate and 160 kilograms of a 50% fat-content chocolate.
This problem can be solved using a basic mixture problem method. Let's name the amount of the 30% fat-content chocolate as 'x' and the amount of the 50% fat-content chocolate as 'y'. The total weight of the resulting chocolate is provided in the problem, 200 kilograms, therefore we know that x + y = 200.
The total fat in the chocolates should be 46% of 200kg, or 92kg. This gives us another equation based on the fat content, 0.3x + 0.5y = 92.
Solving these two equations linearly, we find the values of x and y. The amount of 30% fat content chocolate (x) is 40 kilograms and the amount of 50% fat-content chocolate (y) is 160 kilograms.
#SPJ3
Answer:
8/9 (choice b)
Step-by-step explanation:
The trigonometric ratios are based on the ratios of different sides.
If you remember SOH CAH TOA =
sine (sin) opposite hypotenuse
cosine (cos) adjacent hypotenuse
tangent (tan) opposite adjacent
__________________________
This is a nuemonic for these ratios.
the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.
So cos C = adjacent side / hypotenuse side.
Since 18 is greater than 16 and 9, 18 is the hypotenuse.
the adjacent side is the side other than the opposite side and the hypotenuse which is 16
therefore cos C = 16 / 18 = 8 / 9.
Answer:
Step-by-step explanation:
1. System A is consistent and independent and unique solution
2. System B: inconsistent and no solutions
3. System C: consistent and dependent and infinite many solutions