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3 years ago

For what values of a is the sum of the fractions 2a−1/4 and a−1/3 positive?

1 answer:

3 0

$\left(2a-\dfrac{1}{4}\right)+\left(a-\dfrac{1}{3}\right) > 0\\\\(2a+a)-\dfrac{1}{4}-\dfrac{1}{3} > 0\\\\3a-\dfrac{1}{4}-\dfrac{1}{3} > 0\qquad|\cdot12\\\\12(3a)-12\left(\dfrac{1}{4}\right)-12\left(\dfrac{1}{3}\right) > 0\\\\36a-3-4 > 0\\\\36a-7 > 0\qquad|+7\\\\36a > 7\qquad|:36\\\\a > \dfrac{7}{36}$

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Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each

maw [93]

Answer:

answer in photo

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Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

You have 636.3 g of pennies and each penny weighs 3.03g. how many pennies do you have

nalin [4]

Total weight=number of pennies times weight of 1 penny
total weight/weight of 1 penny=number of pennies
636.3/3.03=210

210 pennies

8 0

3 years ago

Please help with this question. I need an answer ASAP!! I need help! I don't understand this!

Romashka-Z-Leto [24]

Answer: 42°

<u>Step-by-step explanation:</u>

HJ is an angle bisector of ∠IHK so

∠IHJ ≅ ∠KHJ ⇒ m∠IHJ = m∠KHJ

3a + 6 = 5a - 18

6 = 2a - 18

24 = 2a

12 = a

∠IHJ = 3a + 6

= 3(12) + 6

= 36 + 6

= 42

8 0

3 years ago

Pls answer and show work for brainliest

Zina [86]

15/50 = 0.3
that’s 30%
so 30% of people will not be wearing hats.
30% of 250 = 250 x 0.3
= 75 people

8 0

3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

Alona [7]

Answer:

$3.9 in^2$

Step-by-step explanation:

The area of a triangle is given by

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Here we have an equilateral triangle, which has the 3 sides of the same length.

Let's call L the length of one side.

We know that the perimeter of the triangle is

p = 9 in

The perimeter is the sum of the three sides, so:

$p=L+L+L=3L$

Therefore, we find the length of the side:

$L=\frac{p}{3}=\frac{9}{3}=3 in$

Therefore the length is the base of the triangle,

$b=L$

The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:

$h=\sqrt{L^2-(\frac{b}{2})^2}=\sqrt{3^2-(\frac{3}{2})^2}=2.6 in$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(3)(2.6)=3.9 in^2$

5 0

3 years ago