3 years ago

Is the product of two mixed numbers less than, between or greater than the two factors?

1 answer:

8 0

If the two numbers are positive, then since each is greater than 1, the product will be greater than either factor.

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If x^2+25y^2=416 and x-5y=-16 the value of xy is a)16 b)8 c)-8 d)-16

pshichka [43]

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

3 0

2 years ago

What is the y-intercept of the line with the equation y = 4 x + 2? a. -2 b. 4 c. 2 d. Negative one-half

maxonik [38]

The y intercept is 2

7 0

3 years ago

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Jerry has 8/9 gallon of paint. He uses 3/4 of it to paint his treehouse. How much paint is left?

mariarad [96]

.666 gallons, you multiply 8/9 by 3/4
and thats how you do it.

8 0

3 years ago

I need help finding the value of x and the measure of each angle

anastassius [24]

Answer:

x=7, angle a= 45 degrees, angle b= 65 degrees

Step-by-step explanation:

All the angles in a triangle must add up to 180. Subtract 70 from 180, add both angle a and angle b to get 16x-2=110, solve for x, x=7. Substitute x out for 7 in the equations then simplify to get angle a=45 and angle b=65

7 0

2 years ago

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A circular cake with a radius of 8 inches is cut from the center into 6 equal pieces. How many inches wide, to the nearest tenth

aalyn [17]

Answer: 8.4 inches.

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

$C=2\pi r$

Where "r" is the radius of the circle.

We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.

Therefore, this is (to the nearest tenth of an inch):

$C=\frac{2\pi (8in)}{6}\\\\C=8.4in$

5 0

3 years ago

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