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3 years ago

8

A box contains 146 marbles which are either red or blue. there are 28 more blue marbles than red marbles. how many blue marbles

are in the box?

1 answer:

rusak2 [61]3 years ago

6 0

R + b = 146. Supposing that b=r+28,

r + (r+28) = 146, or 2r + 28 = 146.

Simplifying: 2r = 118. Then r = 59, and b = r+28 = 59+28 = 87 blue marbles

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FIND THE VOLUME AND SURFACE AREA. MEASUREMENT IN cm. π = 22/7

Digiron [165]

The volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

It is given that:

A right triangular prism with dimensions

As we know, the volume of the right triangular prism is given by:

Volume = (1/2)bhl

Here b and l are the base dimensions h is the height of the prism

From the trigonometric ratios:

h = 10sin(25) = 4.23 units

b = 10cos(25) = 9.06 units

l = 8 units

Volume = (1/2)(9.06)(4.23)(8)

Volume = 153.30 cubic units

Thus, the volume of the right triangular prism is 153.30 cubic units if the base length of the prism is 8 units.

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2 years ago

What number must be added to both sides of the equation to complete the square ?

77julia77 [94]

First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.

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3 years ago

Write the sum of the numbers as the product of their GCF and another sum.

8090 [49]

Answer:

See explanation

Step-by-step explanation:

1. Find the GCF of 40 and 44:

$40=\underline{2\cdot 2}\cdot 2\cdot 5\\ \\44=\underline{2\cdot 2}\cdot 2\cdot 11\\ \\GCF(40,44)=2\cdot 2=4$

So,

$40+44=4\cdot 10+4\cdot 11=4\cdot (10+11)$

2. Find the GCF of 13 and 52:

$13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13$

So,

$13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)$

3. Find the GCF of 15 and 81:

$15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3$

So,

$15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)$

4. Find the GCF of 64 and 28:

$64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4$

So,

$64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)$

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3 years ago

Find the lcm of 2.5, 1.0 and 70

Ivahew [28]

Answer:

Step-by-step explanation:

2.5 = 5 * .5

1 = 1

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If you include the 1/2, you will reduce the LCM to 35, but 70 will be left out of the LCM.

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3 years ago

A rancher with 420420 meters of fence intends to enclose a rectangular region along a river (which serves as a natural boundary

Kobotan [32]

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I'm assuming you may have another mathematical system the teacher wants you to use. Yet, I get Area is 19,600 Sq meters

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3 years ago