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vazorg [7]
3 years ago
11

A store manager receives a delivery of 10 boxes of lightbulbs. Each box contains 20 lightbulbs. The store manager tests all the

lightbulbs in one of the boxes and finds that 4 of them are defective.
Which statement about the lightbulbs in the remaining boxes is best supported by this information?

Between 25 and 50 lightbulbs will be defective.


More than 80 lightbulbs will be defective.


Between 60 and 80 lightbulbs will be defective.


No more than 25 lightbulbs will be defective.
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0
We can expect that there will be about 4 broken lightbulbs in each of the 10 boxes, which is 40 lightbulbs. This means between 25 and 50 lightbulbs will be defective.
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4. Bryce has 220 feet of fencing that will enclose a rectangular corral. One side of the corral will be 48 ft long. What will be
RideAnS [48]

Answer:

The area of the rectangular coral = 2,976 ft²

Step-by-step explanation:

Bryce has 220 ft of fencing to fence a rectangular coral.

Let the dimensions of the corral be x ft. × y ft.

One side of the coral is 48 ft. long

A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.

Total length of material for fencing = 220 ft.

Hence the perimeter of the reef = 220 ft.

2x + 2y = 220

And one length of the rectangular coral = x = 48 ft.

We can solve for the remaining dimension of the rectangular coral this way.

2(48) + 2y = 220

2y = 220 - 96 = 124

y = (124/2) = 62 ft.

Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Ronch [10]
Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
45^{2} = s^{2}+ s^{2}
45^{2} = 2s^{2}
45^{2} = 2s^{2}
1012.5 = s^{2}
s=31.82

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
\frac{31.82}{5x} = \frac{45}{y}
y=7.07x

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}
50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}
0= -21x^{2}-127.28x+1012.5
x=4.55,-10.61

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0
3 years ago
Find the area of a rectangle that is 16 3/5in. by 8 9/10
Alenkinab [10]
<h2>Greetings!</h2>

Answer:

Area is 147.74

Step-by-step explanation:

You need to recall that the equation for the area of a rectangle is:

Length * Width = area

So 16 3/5 * 8 9/10 = area

Rearrange so the whole numbers are being multiplied and the fractions are too:

We need to make the denominator same, this can be done by simply multiplying 3/5 by 2:

3/5 * 2 = 6/10

Now the two numbers can be written as 16.6 and 8.9.

Multiply both numbers by 10:

166 * 89 = 14774

Then divide this by 100 (two lots of division by 10)

14774 ÷ 1000 = 147.74

So the area of the rectangle is 147.74!


<h2>Hope this helps!</h2>
8 0
3 years ago
Identify the parts of the expression 4.2m + (8 , 2) - 6.
yan [13]

Answer:

The answe wo

Step-by-step explanation:

5 0
2 years ago
Please help me 1 through 9
8_murik_8 [283]

Answer:

1) the angles are congruent, or the same

2) the angles are complementary, or add up to 90 degrees

3) the angles add up to 180 degrees

4) the angle is a right angle

5) they are congruent

6) they are complementary angles, or add up to 90 degrees

7) they are supplementary angles, or add up to 180 degrees

8) angle 1 is congruent to angle 4

9) angle K is supplementary to angle L

Step-by-step explanation:

8 and 9 are transitivity

The other statements correspond with the sentence starters.

5 0
3 years ago
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