Answer:
5438.5
Step-by-step explanation:
To complete this equation, we must use the order of operations also known as PEMDAS.
For the case of this problem, we start by multiplying or dividing numbers before adding or subtracting numbers.
First let's start on the left:
100 x 54 + 77 ÷ 2
5,400 + 77 ÷ 2
5,400 + 38.5
5438.5
I hope this helps! Just remember to always add or subtract number last and start on the left, so that you don't get confused.
Answer:
2
Step-by-step explanation:
Answer:
Plane T
Step-by-step explanation:
The given points A, D, and E are shown as being on the plane T as follows
Point a lays on the boundary of the boundary between plane S and plane T
Points D and E are points on a line DE that is on the plane T
Therefore, given that the line DE and the point A all lay on the same plane T, the plane that contains points A, D, and E, is plane T.
Answer: In the chart, put 6 in place of the question mark.
The equation should be something like w = 2/3 p
W is the number of quarts of water. P is the number of quarts of Pineapple juice.
This week they will need 3 times the previous week so 18 quarts of pineapple juice and 12 quarts of sparkling water.
Step-by-step explanation:
If the basic recipe is 2 water to 3 juice, and they used 4 quarts if water, you can see that is <u>double the amount of</u> water so you need <u>double the amount </u> of juice. 2 times 3 is 6.
<em>Unit rate</em> means for ONE quart of juice, how much sparkling water is used. that should be 1 Pineapple Juice for 2/3 Sparkling water
OR
for EACH quart of sparkling water, how much juice do you need.
that would be 1 unit of Sparkling Water for 1 1/2 units of Pineapple Juice
Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
