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ra1l [238]
3 years ago
8

Identify the equation that does not belong with the other three. Explain your reasoning. 5x = 20, 4b = 7, 8w = 32, 12y = 48

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

4b = 7

Step-by-step explanation:

5x = 20 has solution x = 4

8w = 32 has solution w = 4

12y = 48 has solution y = 4

whereas 4b = 7 has solution b = \frac{7}{4}

The other 3 equations have a solution of 4 making 4b = 7 the odd one out


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The ratio of boys to girls at a movie is 4 : 7. If there are 21​ girls, how many boys are at the​ movie?
juin [17]

Answer:

12 boys

Step-by-step explanation:

Use the ratio

7(3)= 21

4(3)= 12

6 0
3 years ago
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Examine this system of linear<br> equations.<br> y – 3x=-2,<br> y = 4
Verdich [7]

Answer:

2, 4

Step-by-step explanation:

Ok so for this you have to substitute. y=4 so you put a 4 where the y is. This becomes

4 - 3x = -2 We can already rule out (2,2) and (4,2) Why? Because the y is not a 4. So it’s gonna be either (0,4) or (2,4). Now, we have to find x. We have to isolate it. You do this by subtracting 4 from both sides.

4 - 4 - 3x = -2 - 4 Now Simplify

-3x = -6 Why -6? Because you can’t subtract a positive from a negative so it becomes -2 + -4. Since they are both negatives, you just add them together, then put the negative sign.

Now divide -3 from both sides. Which becomes

x = 2

4 0
4 years ago
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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and
miss Akunina [59]

Answer:

Step-by-step explanation:

We are going to assume that the show is sold out.  If 66 student tickets were sold, we only have 74 adult tickets to sell.  Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students.  Our inequality looks like this:

5.50(66) + 7.50(a) ≥ 910 and

363 + 7.50a ≥ 910 and

7.50a ≥ 547 so

a ≥ 73

In order to meet our money requirement, we have to sell 73 adult tickets.  Since we have 74 seats left, we are good.

8 0
3 years ago
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Due today :(((((((((((((((
SVETLANKA909090 [29]

Answer:

E(last one)

Step-by-step explanation:

We dont know much for this, so lets just go over the basics of what we know:

Most of the numbers are between 2-7.

Very very few of the numbers are 9<

Now there is the number 8, which is not spoken of, so we can just conclude that it doesnt matter how many we see in a list of numbers.

Now, looking at each, we should be able to figure out which one is correct by which set of numbers has the lowest amount of numbers between 9<.

In the first case, 3 of the numbers are 9<(9, 9, and 11)

In the second case, 7 of the numbers are 9<(14, 11, 12, 9, 10, 9, 11)

In the third case, 3 of the numbers are 9<(14, 9, 11)

In the fourth case, 5 of the numbers are 9<(12, 14, 10, 11, 11)

Finally, in the fifth case, 2 of the numbers are 9<(9, 10)

So it must be the fifth answer, since it has the least with numbers 9<.

Hope this helps!

Love your profile picture by the way :D

Note that if it is multiply choice, the first, second, and fifth answer would work.

If it is single choice, then it will definatly be the fifth answer.

3 0
3 years ago
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Derive the equation of a parabola with a focus at (-7,5) and a directrix of y = -11
vivado [14]

Answer:

The equation of the parabola is (x + 7)² = 32(y + 3)

Step-by-step explanation:

* <em>Lets revise the equation of the parabola in standard form </em>

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h , k + p)

- The directrix is y = k - p

*<em> Lets solve the problem</em>

- The parabola has focus at (-7 , 5) and a directrix of y = -11

∵  The focus is (h , k + p)

∵ The focus at (-7 , 5)

∴ h = -7

∴ k + p = 5 ⇒ (1)

∵ The directrix is y = k - p

∵ The directrix of y = -11

∴ k - p = -11 ⇒ (2)

- Add equation (1) and (2) to find k and p

∴ 2k = -6

- Divide both sides by 2

∴ k = -3

- substitute the value of k in equation (1)

∴ -3 + p = 5

- Add 3 to both sides

∴ p = 8

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

∴ (x - -7)² = 4(8)(y - -3)

# Remember ⇒ (-)(-) = (+)

∴ (x + 7)² = 32(y + 3)

* The equation of the parabola is (x + 7)² = 32(y + 3)

8 0
3 years ago
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