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Marta_Voda [28]
3 years ago
15

Ms. Yung bought 18.5 pounds of candy to make treat bags for Halloween. If she plans on putting 0.2 pounds of candy in each bag,

how many treat bags can she make?
Mathematics
1 answer:
laiz [17]3 years ago
7 0

Answer:

92 treat bags

Step-by-step explanation:

In order to calculate the total amount of treat bags that Ms. Yung can make we would simply need to divide the weight of each bag's candy by the total weight of candy that Ms. Yung has. This would evenly divide the total amount of candy into as many bags as possible.

18.5 lbs. / 0.2lbs = 92.5 bags

Therefore, if we divide evenly Ms. Yung would be able to make a total of 92 treat bags because even though she has for half a bag left it would not be an entire treat bag like she wants.

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Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0
3 years ago
9.1(6)+8.7(7)=_+60.9<br> How do I solve this?
timurjin [86]

Answer:

The answer is <u>54.6</u>.

9.1(6)+8.7(7)=<u>54.6</u>+60.9

Step-by-step explanation:

Given:

9.1(6)+8.7(7)=_+60.9

Now, to solve it:

9.1(6)+8.7(7)=_+60.9

Let the _be x.

So, we remove parenthesis first that makes it multiply with the number next to it:

9.1\times 6+8.7\times 7=x+60.9

54.6+60.9=x+60.9

Now adding on L.H.S:

115.5=x+60.9

Subtracting on both sides by 60.9 we get:

54.6=x

x=54.6

Therefore, the answer is 54.6.

7 0
3 years ago
at best buy they have a 60"tv that sells for $1999 and is on sale for 20% off. the sales tax is 8.8%. what is the final cost
sweet [91]
I believe the answer is $1,458.47
6 0
3 years ago
(17-7)•6+2+56-8<br> Pemdas
givi [52]
I don’t even know the answer to be honest
4 0
3 years ago
Read 2 more answers
Calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2​
Paladinen [302]

Answer:

76

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

= 400 - 324

then subtract: (PEMDAS)

=76

3 0
3 years ago
Read 2 more answers
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