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Inessa05 [86]
3 years ago
9

Are 3.25/2.5 , 5.98/4.6 and 6.76/5.2 proportional?​

Mathematics
2 answers:
natali 33 [55]3 years ago
7 0

yes, they are all proportional

liq [111]3 years ago
7 0
Yes they all are proportional!
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James has 16 balloons. 1/4 of his balloons are red. How many balloons does he have? 1/2 of his red balloons pop after ten minute
dybincka [34]
The answer is 2 because 1/4 of the balloons which are red would make 4 red balloons and half of 4 is 2.
5 0
3 years ago
Read 2 more answers
The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s
Anna007 [38]
Width: w=6 cm
Depth: d=4 cm
Height: h=7 cm
Side edge: s=?

s=sqrt [ (w/2)^2+h^2 ]
s=sqrt [ (6 cm / 2)^2+(7 cm)^2]
s=sqrt[ (3 cm)^2 + 49 cm^2 ]
s=sqrt (9 cm^2+49 cm^2)
s=sqrt (58 cm^2)
s=sqrt(58) cm
s=7.615773106 cm
s=7.6 cm

Answer: <span>The length of the side edge, s, of the triangular prism is 7.6 cm</span>
7 0
3 years ago
Given the first and the last terms of a seven-term geometric series with a negative common ratio, what is the sum of all the ter
Aloiza [94]

By using the general formula for a geometric sequence, we will find that the correct option is c: 86

<h3>Working with geometric sequences:</h3>

The general formula for the nth term in a geometric sequence is:

a_n = a_1*r^{n-1}

Where r is the common ratio of the geometric sequence here we know that:

  • a₁ = 2
  • a₇ = 128
  • r is negative.

Replacing the first two in the general formula we get:

a_7 = a_1*r^6\\&#10;\\&#10;128 = 2*r^6\\\\&#10;&#10;128/2 = 64 = r^6\\&#10;&#10;\\&#10;&#10;-64^{1/6} = r = -2

Where we took the negative solution for the root. Now that we know the common ratio we can find the other terms:

a_1  = 2\\&#10;a_2 = 2*(-2) = -4\\&#10;a_3 = -4*(-2) = 8\\&#10;a_4 = 8*(-2) = -16\\&#10;a_5 = -16*(-2) = 32\\&#10;a_6 = 32*(-2) = -64\\&#10;a_7 = -64*(-2) = 128

The sum gives:

2 - 4 + 8 - 16 + 32 - 64 + 128 = 86

So the correct option is c.

If you want to learn more about geometric sequences, you can read:

brainly.com/question/9300199

7 0
2 years ago
-5x -4y = -15 and -x + 4y = -3
Burka [1]

So the first thing you would want to do is rewrite the equation like so.

−x+4y=−3;−5x−4y=−15

once you done that you'll have to think about what variable are you trying to get be itself which in this case it'll be x. So now you'll be solving this equation.

−x+4y=−3

next you'll add -4y to both sides

Once you done so you should have this written down

-x over -1 = 4y- 3 over -1

divide -1 to both sides and you should end up with x= 4y+3

Now you have to substitute 4y+3 for x in -5x-4y=-15

So it should look like this now

−5(4y+3)−4y=−15

The next step is to simplify both sides with the following equation

−24y−15=−15

After simplifying add 15 to both sides, It then should look like this

−24y=0

Divide -24 to both sides and your answer should be this

y=0

hope this helps :)

8 0
3 years ago
Determine the first five terms I. The sequence that has a recursive rule of f(n) = f(n-1) + 2 for n is greater than or equal to
eimsori [14]

Answer:

Okay let me explain this to you so you understand

So what does f(n) mean?

Well F(n) is saying the function, of n.

Basically we need to make n be any random number.

Well what number do we choose?

In your question, it says n is greater than or equal than 2.

lets start with 2

f(n-1)+2

f(2-1)+2

1+2

3

f(2) is 3

lets do this 4 more times

that leaves us with the first 5 terms

these 5 terms are

3

4

5

6

7

7 0
3 years ago
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