He needs 13 cans of paint.
The lateral area is given by the area of 5 rectangles, whose dimensions are 15 by 5:
5(15)(5) = 375
Divide this by 30:
375/30 = 12.5 ≈ 13
Answers:
- C) 5/14
- A) 2/16
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Explanations:
- We have 5+9 = 14 people who don't have a dog. Of this total, 5 have a cat. So that's where 5/14 comes from. We ignore the top row because we know 100% that this person doesn't have a dog (based on what the "given" says).
- Focus on the top row. This is because we're given or told that the person completed the hw. We have 2 people who failed the test out of 14+2 = 16 people who did the hw. The fraction 2/16 reduces to 1/8, but it appears your teacher doesn't want you to reduce.
Answer:
The answer should be A. .
Step-by-step explanation:
Start with the second inequality, which is more straightforward than the first. Add to both sides of this equation to separate from the numbers:
. The direction of the inequality sign shall stay the same.
.
On the other hand, simplifying the first inequality takes a bit more work. Start by dividing both sides by . However, keep in mind that dividing or multiplying both sides of an inequality with a negative number will invert the direction of the inequality sign. For example, the left-hand side of an inequality might have been greater than the right-hand side. When both sides are multiplied with a number less than zero, the new left-hand side would become smaller than the new right-hand side.
Because is a negative number, dividing both sides of the first inequality inequality by will turn the "greater-than" sign into a "less-than" sign.
The inequality used to be:
.
After dividing both sides by the negative number , it becomes:
.
.
.
The question connected the two original inequalities with "or". Therefore, the conditions will be satisfied as long as either of at least one of the two inequalities is true. Note, that is true whenever is true. Therefore, any real number that is smaller than will meet the requirements- not just those that are smaller than .
The corresponding interval will be .
Answer:
1/19( -171 - 10√5 + 40√30)
Step-by-step explanation:
Probably the best way to do this would be to mutiply each fraction ( top and bottom) by the conjugate of the denominator. This would then give a denominator with no radicals.
So 2√5 / √6 + 5 wil be multiplied by (5 - √6) / (5 - √6)) to give
(10√5 - 2√30)/ (25 - 6).
= 2√5 (5 - √6) / 19
Do the same with th other 2 fractions and the simplifuication will be a lot easier.
I did this and got 1/19( -171 - 10√5 + 40√30)