A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select THREE options. (1) –2
(2) 0
(3) 5
(4) 8
(5) 10
Answers
The possible values of 20-pound bags of sand will be;
⇒ 0, 5, 8
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
A hot air balloon can hold up to 300 pounds of weight.
And, The balloon's pilot weighs 140 pounds.
Now,
Let number of possible values of 20-pound bags of sand = b
So, We can formulate;
⇒ 20b + 140 ≤ 300
Solve for b as;
⇒ 20b ≤ 300 - 140
⇒ 20b ≤ 160
⇒ b ≤ 8
Thus, The possible values of 20-pound bags of sand are;
⇒ 0, 5, 8
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Answer:
8
Step-by-step explanation:
You subtract 300 from 140 to get 160 because the pilot adds the weight in already. Once you get 160 divides it by 20 to get 8. Each bag weighs 20 pounds, every bag you add will decrease the total the air balloon can carry, so anything 8 and less is good. (4), (5), and (0) should be your answer.
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5x - 7y = -10
=>0*x + 13*y = 45 => y =45/13 => x = 4*(45/13) -11 = 180/13 -11 =>
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Answer:
For #9, the part of the expression that represents the quotient is the division problem in parenthesis. Specifically, "(45 ÷ 9)". I believe you only need the division symbol for this, though. Correct me if I'm wrong.
As for #10, the part of the expression representing the product of two factors is 5.2 being multiplied by the variable . This results in the the term
, with the coefficient being 5.2 and the variable being
.
What is ³√16 simplified?
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Answer:
x = 4 + √73
Step-by-step explanation:
The given equation is ( x-12 ) ( x + 4 ) = 9
We will solve the equation first.
( x - 12 ) ( x + 4 ) = 9
x( x+4 ) - 12 ( x + 4 ) = 9 [ Distributive property ]
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9
x² - 8x - 48 - 9 = 0
x² - 8x - 57 = 0
[ x² - 2 (4x) + 16 ] - 57 - 16 = 0
(x - 4)² - 73 = 0
(x - 4)² = 73
( x-4 )² = √73
x = 4 + √73
x = 4 + √73 is the answer.
You can multiply (x-12) and (x+4)
x * x = x^2
x * 4 = 4x
-12 * x = -12x
-12 * 4 = -48
Now we have
x^2 - 8x - 48 = 9
Subtract 9 from both sides
x^2 - 8x -57 = 0
Use the quadratic formula
This give use the answer of
x = 4 +
Hope this helps!
sometimes
never
inconclusive
Answers
A quadrilateral sometimes has one pair of parallel sides. Then the correct option is B.
What is a quadrilateral?
The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
If the quadrilateral has one pair of parallel sides is known as a trapezoid. And if the quadrilateral has two pairs of parallel sides is known as a parallelogram.
If all the angles are congruent then the parallelogram becomes a rectangle. And if all the sides are congruent then the parallelogram becomes a rhombus. If both sides and angles become congruent in the parallelogram then is known as a square.
A quadrilateral sometimes has one pair of parallel sides. Then the correct option is B.
More about the quadrilateral link is given below.
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A.median
B.mean
C.Both mean and median summarize the data equally well.