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mamaluj [8]
3 years ago
7

60% of what number is 24

Mathematics
2 answers:
Oxana [17]3 years ago
8 0
(is/of) = (P/100)
(24/x) = (60/100)
cross multiply
60x = 24(100)
60x = 2400
x = 40
ozzi3 years ago
6 0
Your answer is 14.4
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Choose the correct equation for the parabola based on the given information. Given: Focus:(2,8) Directrix: y = 4 a. 2(y-2)= (x-
Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

The point (2,4) is directly below (2,8), and the point is on the directrix. The midpoint between (2,4) and (2,8) is (2,6). This is the vertex.

(h,k) = (2,6)

4p(y-k) = (x-h)^2

4*2(y-6) = (x-2)^2

8(y-6) = (x-2)^2

8 0
3 years ago
Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
Read 2 more answers
The diffrence of a number m and 30 is 10
viktelen [127]
M - 30 = 10

so the number has to be 10 more than 30.

30+ 10 = m


m = 40
8 0
3 years ago
8x55= hmmm what is this summ
Evgen [1.6K]

Answer:

440

Step-by-step explanation:

55x8. 8x5=40 carry the 4. 8x5=40+4=44 so it is 440

5 0
3 years ago
Read 2 more answers
Krista's mom has told her she needs to make the pen ½ the size that she had planned (5 feet long by 4 ½ feet wide). What will th
saw5 [17]

Answer:

1. area of new pen = 11 \frac{1}{4} ft^{2}

2. i. 5 feet by 2\frac{1}{4} feet

ii. 2 ½ feet by 4 ½ feet

Step-by-step explanation:

The size of the pen as planned = 5 ft long by 4 ½ ft wide

Area of the pen = length x width

                           = 5 x 4 ½

                           = 5 x \frac{9}{2}

Area of the pen = \frac{45}{2}

                           = 22 ½ ft^{2}

But, Krista has to make the pen ½ the size of planned. So that;

area of new pen = ½ x 22 ½

        = ½ x \frac{45}{2}

        = \frac{45}{4}

        = 11 \frac{1}{4}

area of new pen = 11 \frac{1}{4} ft^{2}

The area of the new pen would be 11 \frac{1}{4} ft^{2}.

The possible values she could use are:

i. 5 feet by 2\frac{1}{4} feet

ii. 2 ½ feet by 4 ½ feet

6 0
3 years ago
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