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3 years ago

6

44 is 55% of what number?

2 answers:

Tatiana [17]3 years ago

7 0

Divide 44 by the percentage:

44 / 0.55 = 80

44 is 55% of 80

Fiesta28 [93]3 years ago

5 0

Answer:

44 is 55% of 80

Step-by-step explanation:

44 is 55% of what number

LEt the unknown number be x

44 is 55% of x

Write the given sentence in equation form

$44= 55 \ percent \ times \ x$

To remove percentage we divide by 100

55 divide 100 is 0.55

$44=0.55 \cdot x$

Divide both sides by 0.55 to solve for x

$80=x$

The value of x is 80. It means 44 is 55% of 80

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Which of the following is equivalent to xy3z2 + y2z + xyz when it is completely factored?

torisob [31]

The correct answer among the choices presented above is option C. The expression yz(xy2z + y + x) is the completely factored form of the given equation <span>xy3z2 + y2z + xyz. When you distribute yz in option c, you will see that the answer is equal to the given equation. </span>

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2 years ago

The length of the sides of four triangles are given. Determine which triangle is not a right triangle.a.5 mm, 12 mm, 13 mmb.20 m

gizmo_the_mogwai [7]

For a right triangle, the sum of the squares of two shorter side should be equal to the square of the third side. The calculations for each choices are shown below.

a. (5 mm)² + (12 mm)² = 169 mm² ; (13 mm)² = 169 mm² ; EQUAL
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7 0

3 years ago

The function y = x 2 - 10x + 31 has a ____

katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

$f(x) = x^2-10x+31$

Taking first derivative

$f'(x) = 2x-10$

Now the first derivative has to be put equal to zero to find the critical value

$2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5$

The function has only one critical value which is 5.

Taking 2nd derivative

$f''(x) =2$

$f''(5) = 2$

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

$f(5) = (5)^2-10(5)+31\\=25-50+31\\=6$

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

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3 years ago

One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is

ioda

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

$Area=\dfrac{1}{2}\times Base\times Height$

The area of a right triangle is

$Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)$

Let x be the length of other leg.

$225=\dfrac{1}{2}\times (9)\times (x)$

$2\times 225=9x$

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Therefore, the length of the other leg is 50 cm.

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kupik [55]

Answer:

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