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dmitriy555 [2]
3 years ago
12

52.5% of what is 25.83

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0
We can write an equation to represent this problem:
.525x=25.83
Divide by .525
x=49.2
52.5% of 49.2 is 25.83
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Solve 3x2 = −12x − 15.<br><br> x = −4 ± 2i<br> x = −4 ± i<br> x = −2 ± 2i<br> x = −2 ± i
diamong [38]
ANSWER

x = - 2 \pm i

EXPLANATION

We use the method of completing the squares.

The equation is
3 {x}^{2} = - 12x - 15

We rewrite the above equation to obtain;

3 {x}^{2} + 12x = - 15

We divide through by 3 to obtain;

{x}^{2} + 4x = - 5

We add half the coefficient of
x

to both sides of the equation to get,

{x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}

The right hand side is now a perfect square.

{(x + 2)}^{2} = - 1

We now take square root of both sides to get;

x + 2 = \pm \sqrt{ - 1}

We add -2 to both sides,

x = - 2 \pm \sqrt{ - 1}

We simplify to obtain,

x = - 2 \pm i
3 0
3 years ago
How can you isolate the variable in this inequality?
Ierofanga [76]

Answer:

C- Divide both sides by 3.

Step-by-step explanation:

In order to isolate the variable, we will have to remove all non-1 coefficients from the variable. Since 3b can be written as 3(b), b is being multiplied by 3. So the only way to isolate the variable is to do inverse operations, which would be to divide both sides of the inequality by 3.

Hope this helped!

3 0
3 years ago
Read 2 more answers
an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav
Oduvanchick [21]
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0
3 years ago
Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them
elena-s [515]

Answer:

addie at 4.5 candie bars and frankie had 4

6 0
2 years ago
Find the value of x, o is the centroid
Ray Of Light [21]

Answer:

x = 14

Step-by-step explanation:

In the triangle O is the centroid.  

Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.

So, from the given diagram we can write  

\frac{3x}{2x - 7} = \frac{2}{1}

⇒ 3x = 4x - 14

⇒ x = 14 (Answer)

3 0
3 years ago
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