Answer:
the correct answer is B
Step-by-step explanation:
An equation is an identity if it can be rewritten as 0=0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.
An equation is a mathematical statement which is true only for some set of values.
An identify is a mathematical statement which is true only for all the values.
Here, only option B "An equation is an identity if it can be rewritten as 0=0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable." satisfies the condition.
So, option B is correct.
Answer:
y = 290 liters Drink B
Step-by-step explanation:
Drink A contains 20% real fruit juice. x liters
and Drink B contains 5% real fruit juice. y liters
y=x+80
20%x +5%y =56.5
20x+5y==5650
-x + y = 80.00
20x + 5 y = 5650.00 .............2
Eliminate y
multiply (1)by -5
Multiply (2) by 1
5.00 x -5.00 y = -400.00
20.00 x 5.00 y = 5650.00
Add the two equations
25.00 x = 5250.00
/ 25.00
x = 210.00
plug value of x in (1)
-1.00 x + 1.00 y = 80.00
-210.00 + 1.00 y = 80.00
1.00 y = 290.00
y = 290.00
Ans x = 210 liters Drink A
y = 290 liters Drink B
Let L be the length and W be the width.
"the width of a rectangle is half as long as the length"
W = (1/2)·L
"the rectangle has an area of 18 square feet"
A = L·W = 18
Substitute,
L·W = 18
L·(1/2)·L = 18
(L²)/2 = 18
L² = 36
L = 6 feet
then W = (1/2) · L
W = (1/2) · 6
W = 3 feet
Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle
Answer:
Confidence interval = 48±4
Step-by-step explanation:
Given:
Mean X = 48
Standard deviation sd = 14.1
Computation:
Z table value of 90% = 1.645
Total number n = 33
Computation:
Margin of error M.E = Z[sd/√n]
Margin of error M.E = 4 approx.
Confidence interval = 48±4
