Answer:
Felipe's expression using the Distributive Property can be written as
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
Step-by-step explanation:
Distributive property states that:
a( b + c) = ab + ac
We are told in the question that:
DVDs are on sale for $28 each. Felipe writes the expression 5 × 28 to find the cost in dollars of buying 5 DVDs.
Therefore:
Felipe's expression using the Distributive Property can be written as:
5 × 28 = 5( 20 + 8)
5 × 28 = (5 × 20) + (5 × 8)
Answers:
1. 1/4
2. 12:10
3. 3/23 in fraction form, or 0.13 in decimal form (though please note that the decimal form has been rounded to the nearest hundredth).
Explanations:
1. In order to simplify a fraction, you need to find a number that both the numerator and denominator can be divided by evenly. Once you cannot find any number that fits that description, you have found the simplest form. Both numbers 10 and 40 can be divided by the number 10 - so let's divide 10 by 10 and 40 by 10. After doing that, your answer should be 1/4.
2. In order to find an equivalent ratio of an existing ratio, you can just multiply or divide the numbers of that ratio by a same number. Knowing this, this question can have many correct answers, but in this case, I used the number 2, and multiplied both 6 and 5 by it. This left me with an equivalent ratio of 12:10.
3. In order to calculate probability, you need to divide the number of "winners" (or the outcome we want to have) by the number of all possible outcomes you could have. For this problem, that "winner" is the number of green shirts, which is 3. The number of outcomes would be the number of all the shirts in total, which adds up to 23. Thus, using that method explained earlier, the probability would be 3/23 in fraction form or 0.13 in decimal form (note that this is rounded to the nearest hundredth since dividing 3 by 23 would result in a long answer).
Answer:
Below in BOLD.
Step-by-step explanation:
5x^2 - 6x - 2 = 0
Quadratic formula for ax^2 + bx + c = 0 is
x = [-b ± √(b^2 - 4ac)]/ 2a
Here we have a = 5, b = -6 and c = -2
so x = [-(-6) ± √((-6)^2 - 4*5*-2)]/ 2*5
= [ 6 ± √(36 + 40)] / 10
= 0.6 ± √76 / 10
= 0.6 ± 0.8718
= 1.4718, -0.2718
= 1.5, -0.3 to one decimal place.
x^2 + 3x = 40
x^2 + 3x - 40 = 0
We can factor this one:
(x - 5)(x + 8) = 0
x - 5 = 0 giving x = 5 and
x + 8 = 0 giving x = -8.
Answer x = -8, 5.
Answer:
The answer is B. the percent decrease is 16%
Step-by-step explanation:
Multiple 16% by 5000 and you'll get 800
Answer:
Hello there! There is a 1/4 chance of getting the same result on both flips, keeping in mind that a coin only has 2 sides.
Step-by-step explanation:
There is a 1/2 chance of getting a result on one flip. So we now have to multiply that by getting the same result on another flip.
1/2 × 1/2 = 1/4
Hope this helps! :)
