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Yuri [45]
3 years ago
7

Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were orange, 30% were green, and

20% were blue. Of the blue ones, 10% had a damaged candy coating. Approximately how many of the blue ones had a damaged candy coating?
Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0
1.2 of the blue candies were damaged. Out of the 60 candies, 18 were orange (0.3 x 60) and 18 were green (0.3 x 60). 12 of the candies were red (0.2 x 60) and 12 were blue (0.2 x 60). 1.2 of these 12 blue candies were damaged (0.1 x 12).
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Select the action you would use to solve x/4 = 16. Then select the propertys that justifies that action.
Dafna11 [192]

Answer:

The right options are A and D.

Step-by-step explanation:

1. Option A.

The action is:Add 3 to both sides. This means that we need to do the following operation:

x - 3 = 12

∴ x - 3 + 3 = 12 + 3

∴ x = 15

So, the solution of this problem is x = 15.

2. Option D.

The property is:Addition property of equality. This is the property we are chosen because we need to isolate the variable x. To do that, we need to add a number of each side of the equation to find our goal and this property allows us to get our goal.

6 0
3 years ago
An airplane leaves an airport at 9:00 p.M. With a heading of 270 and a speed of 610 mph. At 10:00 p.M. The pilot changes the he
timama [110]

Answer:

2330.51 miles

Step-by-step explanation:

Given that the speed of the airplane = 610 mph.

The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.

So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.

As, distance = time x speed, so

The distance covered at 270 degrees, d_1 = 1\times610=610 miles.

The distance covered at 310 degrees, d_2 = 3\times610=1830 miles.

Total distance covered, d, is the magnitude of the sum of vectors \vec{d_1} and \vec{d_2} as shown in the figure.

The angle between the vectors \vec{d_1} and \vec{d_2}, \theta=310-270=40 degree.

Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},

d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}

\Rightarrow d=2330.51 miles

Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.

4 0
3 years ago
What is the value of x in the equation 1/3x-2/3=-18?
MA_775_DIABLO [31]
\frac{1}{3}  x- \frac{2}{3} = -18

x-2=-54

x=-54+2

x=-52
6 0
3 years ago
Read 2 more answers
A boy rides his bike at a speed of 28 miles per hour. How
sergejj [24]

Answer:

About 4 hours.

Step-by-step explanation:

Let's set up a proportion and cross multiply.

\frac{28 miles}{1 hour} = \frac{120 miles}{x}

Cross multiply.

120 = 28x

Divide by 28 on both sides.

= 4.28571428571

Round this to the nearest whole number, which is just 4. The answer is about 4 hours.

6 0
2 years ago
University of North Texas has 3500 less than twice the number of students
DochEvi [55]

Answer:

ok

Step-by-step explanation:

1st step is ask a question.

2nd is get an accurate answer by asking a valid question.

8 0
2 years ago
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