Answer:
6 laptops.
Step-by-step explanation:
$6500 is the budget. If each textbook costs $116, and 30 textbooks are needed, you multiply.
116 x 30 = 3480.
3480 was spent on the textbooks, and the rest needs to go into laptops.
6500 - 3480 = 3020.
Now to find out how many laptops can be bought with the remaining money, divide.
3020 / 439 = 6.88 (You can't buy a portion of a laptop, so you have to take the biggest whole number, which is 6).
Answer:
D (3/2
Step-by-step explanation:
<u>Simplify both side of the equation</u>: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)
Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8
(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)
Combine like terms: 30x + −50 = 10x + −20
30x - 50 = 10x - 20
<u>Subtract 10x from both sides</u>: 30x − 50 − 10x = 10x − 20 − 10x
20x - 50 = -20
<u>Add 50 to both sides</u>: 20x - 50 + 50 = -20 + 50
20x = 30
<u>Divide both sides by 20</u>: 20x / 20 = 30 / 20
<em>x = 3/2</em>
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Boom! I hope that helped :)
N=25 You just divide 300 and 12 to get 25!
Part of the value of sin(u) is cut off; I suspect it should be either sin(u) = -5/13 or sin(u) = -12/13, since (5, 12, 13) is a Pythagorean triple. I'll assume -5/13.
Expand the tan expression using the angle sum identities for sin and cos :
tan(u + v) = sin(u + v) / cos(u + v)
tan(u + v) = [sin(u) cos(v) + cos(u) sin(v)] / [cos(u) cos(v) - sin(u) sin(v)]
Since both u and v are in Quadrant III, we know that each of sin(u), cos(u), sin(v), and cos(v) are negative.
Recall that for all x,
cos²(x) + sin²(x) = 1
and it follows that
cos(u) = - √(1 - sin²(u)) = -12/13
sin(v) = - √(1 - cos²(v)) = -3/5
Then putting everything together, we have
tan(u + v)
= [(-5/13) • (-4/5) + (-12/13) • (-3/5)] / [(-12/13) • (-4/5) - (-5/13) • (-3/5)]
= 56/33
(or, if sin(u) = -12/13, then tan(u + v) = -63/16)
Answer:
She can make 55 bracelets
Step-by-step explanation:
We have the correct question as follows;
Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make
we have the solution as follows
Firstly, we need to find the total length of the strings bought
We can get this by adding what was bought
That would be;
15 1/6 + 12 1/3
= 91/6 + 37/3
= (91 + 74)/6 = 27 1/2 ft
From the question, each bracelet requires 1/2 ft long
so the number of 1/2 ft long bracelets we can find will be;
27 1/2 divided by 1/2
= 55/2 * 2/1
= 55