Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.
Step-by-step explanation:
Let x represent the number of ounces that a small bottle holds.
Let y represent the number of ounces that a large bottle holds.
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that
2x + 2y = 76 - - - - - - - - - - - - 1
The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that
4x + y = 83 - - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
4x + 4y = 152
4x + y = 83
Subtracting, it becomes
3y = 69
y = 69/3 = 23 ounces
Substituting y = 23 into equation 1, it becomes
2x + 2 × 23 = 76
2x + 46 = 76
2x = 76 - 46 = 30
x = 30/2 = 15 ounces
First
angle in front of c is 30°, so hypotenuse is equal to 2c
it's right triangle, so let's use Pythagorean theorem\
Second
b - the base of the triangle, angles at the base are equal ⇒ cathets are equal
it's right triangle, so let's use Pythagorean theorem
Answer:
11
Step-by-step explanation:
Area = LW
We know that the w = 2
We are told that the L (length) is three less than an unknown number so that mean L = (x - 3)
We are then told that the area = 22 square inches.
Area = LW
22 = (x - 3)2
Now solve for x
22 = (x - 3)2
Distribute the 2
22 = 2x - 6
22 + 6 = 2x
28 = 2x
28 / 2 = 2x / 2
14 = x
x = 14
Now take 14 and subtract 3
14 - 3 = 11
Unknown number = 11
Area = LW
L = 11
W = 2
Area = 22
11 * 2 = 22
Answer: D) The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
Step-by-step explanation:
In the table shown, the estimated time for language arts is greater than the estimated time for math. They can answer 25 math questions in 87 minutes, whereas for language arts, they take 88 minutes to answer 20 questions. Therefore, the slope for LA is greater than the slope for Mathematics. Hope this helps :)
Answer:
10%
Step-by-step explanation:
In the image attached below, we can see that there are
8 tiles of letter O
2 tiles of letter V
This means that there are 10 total tiles of the letters that you want to get (O and V). Since there are a total of 100 tiles we need to divide this value by 100 to get the probability of getting one of these tiles.
10 / 100 = 0.10 or 10%
Finally, we can see that the probability of selecting a O or a V is 10%
