Answer:
Rounded to the nearest integer, the test had 18 problems in all.
Step-by-step explanation:
Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:
100 - 44 = 56
56 = 10
100 = X
100 x 10/56 = X
1,000 / 56 = X
17.85 = X
Thus, rounded to the nearest integer, the test had 18 problems in all.
Answer:
I was at the store getting groceries I saw that there was a sell on bags of candy The original price was 4.00 dollars The sale is 1/2 off a bag of candy what is the new price. The answer is 2.00 dollars.
Answer:
x = 3/2
Step-by-step explanation:
2(x + 5) = 6x + 4
Open bracket first
2 × x + 2×5 = 6x + 4
2x + 10 = 6x + 4
Rewrite equation
6x + 4 = 2x + 10
Subtract 2x from both sides
6x - 2x + 4 = 2x - 2x + 10
4x + 4 = 10
Subtract 4 from both sides
4x + 4 - 4 = 10 - 4
4x = 6
Divide both sides by 4
4x/4 = 6/4
x = 6/4
Divide both denominator and numerator by 2
x = (6/4) ÷ 2
x = 3/2
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Answer:
the trainee calculated the incorrect amount
It should be 0.5 mL
Step-by-step explanation:
The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.
The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.
To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:
the volume needed = amount of the drug you need/ concentration of the drug
volume needed = 500,000 units / (1,000,000 units/ 1mL)= 1/2 mL = 0.5 mL
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
