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Sonbull [250]
3 years ago
14

There are 12 red marbles in a bag. The ratio of the total number of marbles in the bag to the number of red marbles in the bag i

s 5:2. How many marbles are in the bag?
Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

30 marbles

Step-by-step explanation:

x = total # marbles

5/2 = x/12

2x = 60

x = 30

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iris [78.8K]

Answer: it means simple interest

Step-by-step explanation it means simple interest because I means interest

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2 years ago
Evaluate (-4^2) - (3 *4) + 9
Elanso [62]

-19

-4 * -4 - 12 + 9

-16-12 +9

-28 + 9

5 0
2 years ago
Suppose that the sum of the three vectors u, v, and w shown in the figure is the zero vector. If w = 10 find u and v.
tangare [24]

a. The value of v is 9.2

b. The value of u is 9.9

<h3>What are vectors?</h3>

Vectors are physical quantities that have both magnitude and direction

<h3>How to find the value of vectors u and v?</h3>

Since we have vectors

  • u at 70° to the x-axis
  • v at 47° to the x-axis and
  • w = 10 at 15° to the x-axis,

We resolve them into component form

So, u = -(ucos70°)i - (usin70°)j

u = -(0.3420u)i - (0.9397u)j

v = -(vcos47°)i + (vsin47°)j

v = -(0.6820v)i - (0.7314v)j

w = (wcos15°)i + (wsin15°)j

w = (0.9659w)i + (0.2588w)j

w = (9.659)i + (2.588)j

Since the sum of the three vectors is zero, we have that

u + v + w = 0

u + v = -w

So,

-(0.3420u)i - (0.9397u)j + [-(0.6820v)i - (0.7314v)j] = -[(9.659)i + (2.588)j]

-(0.3420u)i - (0.9397u)j -(0.6820v)i - (0.7314v)j = -(9.659)i - (2.588)j]

-(0.3420u)i -(0.6820v)i - (0.9397u)j - (0.7314v)j = -(9.659)i - (2.588)j]

-[0.3420u + 0.6820v]i - [0.9397u + 0.7314v]j = -(9.659)i - (2.588)j

Equating i components, we have

-[0.3420u + 0.6820v]i = -9.659i

0.3420u + 0.6820v = 9.659

Dividing through by 0.3420. we have

u + 1.994v = 28.242 (1) and

Also, equating j components, we have

- [0.9397u + 0.7314v]j = -2.588j

0.9397u + 0.7314v = 2.588  

Dividing through by 0.9397 we have

u + 0.778v = 2.754 (2)

<h3>a. The value of v</h3>

Subracring equation (2) from(1),we have

u + 1.994v = 28.242 (1)

-

u + 0.778v = 2.754 (2)

2.772v = 25.488

v = 25.488/2.772

v = 9.19

v ≅ 9.2

The value of v is 9.2

<h3>b. The value of u</h3>

Substituting v into (1), we have

u + 1.994v = 28.242 (1)

u + 1.994(9.19) = 28.242

u + 18.325 = 28.242

u = 28.242 - 18.325

u = 9.917

u ≅ 9.9

The value of u is 9.2

Learn more about vectors here:

brainly.com/question/25705666

#SPJ1

8 0
2 years ago
What is 8(1/4x-3)+24&lt;4(x+5)
Sergio039 [100]

Hey there!

We can solve inequalities just like equations. There is only one difference though. If you ever multiply or divide both sides by a negative number, you "flip" the inequality sign.

First, let's undo the parentheses.

2x-24+24<4x+20

We simplify.

2x<4x+20

We subtract 4x from both sides.

-2x<20

We divide both sides by -2 (we will need to flip the inequality sign).

x>-10

I hope this helps!


5 0
3 years ago
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