Susan can read 72 words in One-third of a minute. Which statement is correct? She can read 24 words per minute, because 72 divided by One-third is equal to 24. She can read 24 words per minute, because 72 times One-third is equal to 24. She can read 216 words per minute, because 72 divided by One-third is equal to 216. She can read 216 words per minute, because 72 times One-third is equal to 216.
Answers
Answer:
The answer is
"She can read 216 words per minute because 72 divided by One-third is equal to 216."
Step-by-step explanation:
Given the statement
Susan can read 72 words in One-third of a minute ....pause
Whats is one-third of a minute
it is expressed as 1/3*60=20sec
so Susan can read 72 words in 20 second
this means that in a minute she can read
72+72+72 words= 216 word since 20sec*3 is 1 minute
alternatively
we then multiply 73 with the inverse of the denominator
=
=216 words
Answer:
is c then
Step-by-step explanation:
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The image of this triangle is an isosceles triangle with the base being 33m (from angle A to angle A') and the right leg is 7.5 m long (BC) the span or width of the triangle is divided by 6 vertical lines with equal distances from eachother. so we need to find the length of the left leg AB.
Answers
--------- = 7 3\7
7
b. x2-8x+24
c. x2-8x+24-(72/x+3)
d. x3-8x2+24x-72
Answers
Answer:
Option C is correct.
Step-by-step explanation:
Given polynomial : x³ - 5x²
Factors of given polynomial = x + 3
Let, p(x) = x³ - 5x²
To get other factor of p(x), we divide p(x) by given factor.
On division we get,
Quotient = x² - 8x + 24
Remainder = -72
So another factor is
Therefore, Option C is correct.
Answers
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3√3 (5 + 3√2 )
Answers
Answer: 15√3 + 9√6
Step-by-step explanation:
3√3 (5 + 3√2 )
= 3√3 x 5 + 3√3 x 3√2 (Apply the distributive rule. a(b+c) = ab+ac)
= 15√3 + 9√6 (Multiply the radicands, then multiply the constants. No mixing)
b) Use the Quadratic Formula to solve the equation. Write the solution in terms of i.
Answers
From their sum, the numbers are ' x ' and ' 8 - x ' .
From their product, x(8 - x) = 80 .
When you massage and manipulate this equation into the standard
quadratic form, you have
x² - 8x + 80 = 0 .
Applying the quadratic formula to tease out the solutions of this equation,
we find that they are
x = 4 + 64 i
and
x = 4 - 64 i
Final answer:
The two numbers are represented by x and 8 - x. By setting x * (8 - x) = 80, we obtain a quadratic equation which can be solved using the Quadratic formula to find x = 2 and x = -40. However, we ignore the negative solution as we're dealing with positive numbers, resulting in 2 and 6 as the two numbers.
Explanation:
First, let's identify the two numbers. Let's let x represent one of these numbers. Because we're told that the sum of the two numbers is 8, we can express the second number as 8 - x.
Next, let's use this information to write our equation. We're told that the product of our two numbers is 80. In terms of x, we can write this as: x * (8 - x) = 80. Simplify this to obtain the quadratic equation: -x^2 + 8x - 80 = 0.
From this, we can apply the Quadratic Formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a). Substituting a = -1, b = 8, and c = -80 into the formula, we find the solutions are x = 2 and x = -40. However, since we're dealing with positive numbers here, we can ignore the negative solution, leaving us with the two numbers as 2 and 6.
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