Answer:
Find attachment below
Step-by-step explanation:
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Opposite sides of a rectangle are congruent
QT = RS
45 = 5x - 5
50 = 5x
10 = x
D is the answer
Answer:
1.40 litres; order of operations
Step-by-step explanation:
Part A:
First, write it out in the full form.
#1 (.75 litres of blackberry juice + .60 litres of blueberry juice + .25 litres of guava juice) - .20 litres drank = 1.4 litres of juice remaining in the jar
Part B:
Removing the wordy descriptions from the expression, we get the following:
#2 (.75 + .60 +.25) - .20
or, by adding the numbers in the parentheses first:
#3 (1.60) - .20 = 1.40
#4 1.40 litres of juice left in the jar
The order of operations was used in moving from step #2 to step #3, as operations within the parentheses were conducted before subtracting the .20 litres of juice which were drank.
Answer:
The sum is close to 1/2
Step-by-step explanation:
1/4 = 7/28
2/7 = 8/28
7/28 + 8/28 = 15/28
14/28 = 1/2 and 15/28 is close to 14/28
Answer:
A: 2
B: -1/3
Step-by-step explanation:
A: We are looking for the common ratio between the terms of the sequence, which is essentially what you are multiplying by to get from one term to the next. To find this, we just have to divide the second term by the first term.
-4 / -2 = 2, therefore our common ratio is 2.
We can check this by continuing to multiply the next terms by 2 - -4 x 2 = -8, -8 x 2 = -16, so the pattern works.
B: For B, we will do exactly the same method as before: 3/-9 = -1/3, so our multiplier is -1/3.
To check: 3 x -1/3 = -1, and -1 x -1/3 = 1/3, which both follow our rule.
Hope this helps! Let me know if you have any questions.
