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BabaBlast [244]
2 years ago
5

Tim has some marbles. Sue has twice as many marbles as Tim. Jim has 15 marbles. Tim,Sue and Jim have a total of 63 marbles. how

many marbles does Tim have
Mathematics
1 answer:
AnnZ [28]2 years ago
5 0

Answer:

16

Step-by-step explanation:

63-15=48

48/3=16

Tim= 16

Sue= 32

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A square and an equilateral triangle have equal perimeters. the area of the triangle is 
Ivenika [448]

a - length of side of a square

t - length of side of a triangle

The perimeter of a square: P_S=4a

The perimeter of a triangle: P_T=3t

We have the area of a triangle: A_T=16\sqrt3\ cm^2

The formula of an area of an equilateral trinagle: A_T=\dfrac{t^2\sqrt3}{4}

Substitute:

\dfrac{t^2\sqrt3}{4}=16\sqrt3    <em>multiply both sides by 4</em>

t^2\sqrt3=64\sqrt3     <em>divide both sides by \sqrt3</em>

t^2=64\to t=\sqrt{64}\to t=8\ cm

The perimeter of a triangle: P_T=3(8)=24\ cm

Substitute to the formula of a perimeter of a square:

4a=24       <em>divide both sides by 4</em>

a=6\ cm

The formula of a diagonal of a square: d=a\sqrt2

Substitute:

d=6\sqrt2\ cm

3 0
3 years ago
Which expression is equivalent to (2^3)^5?
Alenkasestr [34]
<span>(2^3)^5
=2^(3*5)
= 2^15

hope it helps</span>
8 0
3 years ago
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Answer:

Jacob served 16 quarts of juice.

Step-by-step explanation:

5 0
3 years ago
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A circle has a diameter of 20 ft. What is the diameter? *
fenix001 [56]

Answer:

20ft

Step-by-step explanation:

3 0
2 years ago
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A large pizza has a diameter of 14 inches. A medium pizza has a diameter of 10 inches. How much larger is the area of the large
Arte-miy333 [17]

Answer:

The bigger pizza has a diameter of 14 inches, or a radius of 14 / 2 = 7 inches.

The smaller pizza has a diameter of 12 inches, or a radius of 12 / 2 = 6 inches.

Step-by-step explanation:

The area of a circle is πR2 where R is the radius.

The difference in the size of the pizzas is  

Area of bigger pizza - Area of smaller pizza

= π(7 inches)2 - π(6 inches)2 = = 49π inches2 - 36π inches2 = 13π inches2  

7 0
3 years ago
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