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3 years ago

Write the ratio in simplest form 3:9

Mathematics

2 answers:

Alborosie3 years ago

7 0

1:3 because in fraction form 3/9 3 divided by 3 is 1 and 3 divided by 9 is 3 ,so its 1:3

horsena [70]3 years ago

4 0

The ratio 3:9 can also be written as a fraction 3/9.
Divide the numerator and denominator by 3 to get 1/3.

3:9 = 1:3

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The profit (in thousands of dollars) of a company is given by P(x) = -8x2 + 32x + 14.

andre [41]

Answer:

Step-by-step explanation:

The profit (in thousands of dollars) of a company is given by the function:

$\displaystyle P(x) = -8x^2+32x+14$

And we want to find the maximum profit of the company.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:

$\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$

Find the x-coordinate of the vertex. In this case, a = -8, b = 32, and c = 14. Hence:

$\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2$

To find the maximum profit, substitute this value back into the function. Hence:

$\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46$

Therefore, the maximum profit of the company is 46 thousand dollars.

Our answer is C.

5 0

3 years ago

The x and y intercept of 3x + 4y = -12

muminat

× equals negative 4 i think and y equals -3

5 0

3 years ago

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0

3 years ago

And ice cream factory makes 190 quarts of ice cream in five hours how many quarts could be made in 36 hours what was the rate pe

levacccp [35]

190/5 = 38

So, they can make 38 quarts in an hour.

38 * 36 = 1,368

They can make 1,368 quarts in 36 hours.

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3 years ago

A student builds a model of a race car. The scale is 1:15 in the scale model,the car is 8cm tall. How tall is the actual car?

ycow [4]

Answer: 120cm

Step-by-step explanation i took the test

5 0

2 years ago