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monitta
3 years ago
10

7TH GRADE MATH ASAP. Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he

has 11 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 13 left over. How many chairs does Liam have?
Mathematics
1 answer:
Artemon [7]3 years ago
3 0

Answer:

  19 chairs

Step-by-step explanation:

you can make two equations

1. y = 8x + 11

2. y = 6x + 13

Y is the number of total chairs and x is the length

so 8x + 11 = 6x + 13

2x = 2

x = 1

so the length is one

To find the total number of chairs just plug in one as x

y = 8 + 11

y = 6 + 13

y = 19

so 19 chairs is the number of chairs Liam has.

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Construct a probability distribution for the data.
lianna [129]

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

5 0
3 years ago
Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.
N76 [4]

Answer:

44000

Step-by-step explanation:

Given the following question:

80767-37291

To estimate by the nearest thousand, we have to look at the thousand's place value and then look at the number next to it, to see if it's greater than five.

80767-37291

80767

7 > 5

81000

37291

2 < 5

37000

81000-3700=44000

=44000

Hope this helps.

6 0
2 years ago
. Find the area of the regular dodecagon inscribed in a circle if one vertex is at (3, 0).
devlian [24]

Answer:

Area of the regular dodecagon inscribed in a circle will be 27 square units.

Step-by-step explanation:

A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.

Since angle formed at the center by a polygon = \frac{360}{n}

Therefore, angle at the center of a dodecagon = \frac{360}{12} = 30°

Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units

Now area of a small triangle = \frac{1}{2}.(a).(b).sin\theta

where a and b are the sides of the triangle and θ is the angle between them.

Now area of the small triangle = \frac{1}{2}.(3).(3).sin30

= \frac{9}{4}

Area of dodecagon = 12×area of the small triangle

= 12×\frac{9}{4}

= 27 unit²

Therefore, area of the regular octagon is 27 square unit.

4 0
3 years ago
The perimeter of a rectangle table is 680 cm if the length of the table is 24 cm more than the race the width of the table find
postnew [5]

Answer:

Length is 182 cm and width is 158 cm.

Step-by-step explanation:

Given:

Perimeter of rectangle table = 680 cm.

Let the width of the table be x.

Now according to given length of the table is 24 cm more than the race the width

hence length = 24+x.

But perimeter of rectangle = 2(length+width)

Substituting the values we get;

2(24+x+x)=680\\24+2x=\frac{680}{2}\\\\24+2x=340\\2x=340-24\\2x=316\\\\x= \frac{316}{2}=158 \ cm

Hence width = 158 cm

Now, length = 24 cm + width = 24 cm + 158 cm = 182 cm

Hence the dimension of table are 182 cm and 158 cm.

5 0
3 years ago
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