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spin [16.1K]
3 years ago
7

How many solutions does the equation x−4=x−2x−4=x−2 have?

Mathematics
1 answer:
Ivan3 years ago
3 0
I think the equation is formed wrong, as there is no point in having x-4=x-2 twice.

It has no solution.
You might be interested in
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must
Natalka [10]

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

7 0
2 years ago
Suppose 12% of the students chose to study French their freshman year, and that meant that there were 21 such students. How many
AleksAgata [21]

Answer:

154 students

Step-by-step explanation:

First get the total number of students .

This can be gotten by

12% of A = 21

Where A represents the total number of students.

12% represents the % of A that chose to study French and 21 is the number of students that studied French .

Therefore,

12% /100% x A = 21

0.12 x A = 21

Divide both sides by 0.12

0.12/0.12 x A = 21/0.12

A = 175

The total number of students is 175.

If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.

That’s

175 - 21

= 154

154 students chose not to study French their freshman year

4 0
3 years ago
What is the value of m in the equation 1/2 m - 3/4n=16 when n=8
zhuklara [117]
1/2m - 6= 16
1/2m=22
m= 44
6 0
2 years ago
Write the equation of the circle whose center is (-5, -8) with diameter 12
lora16 [44]

Answer:

(x + 5)^2 + (y + 8)^2 = 6^2

Step-by-step explanation:

A circle formula: (x - h)^2 + (y - k)^2 = r^2

We are given diameter. To find the radius divide diameter by 2.

d = 12

12/2 = r = 6

H and K are given to be (-5 , -8)

(x - (-5))^2 + (y - (-8))^2 = 6^2

(x + 5)^2 + (y + 8)^2 = 6^2

I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.

3 0
1 year ago
Please help me<br> Solve for x.<br> a) 30<br> b) 27<br> c) 33
OlgaM077 [116]

Answer:

x = 27

Step-by-step explanation:

The angle at any point on a straight line is 180 degrees.

The middle line over there is creating a right angle which is 90 degrees.

This must mean that both sides are 90 degrees.

3x+9 = 90

3x = 81

x = 27

4 0
3 years ago
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