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3 years ago

8

Solve the proportion ASAP help do both questions

1 answer:

Strike441 [17]3 years ago

6 0

Answer:

7. 4

8. 7

Step-by-step explanation:

7. $\frac{1}{2} = \frac{x}{8}$

Cross multiply

$1*8 = x*2$

$8 = 2x$

$\frac{8}{2} = \frac{2x}{2}$ (division property of equality)

$4 = x$

$x = 4$

8. $\frac{3}{x - 3} = \frac{6}{8}$

Cross multiply

$3*8 = 6(x - 3)$

$24 = 6x - 18$

$24 + 18 = 6x$ (addition property of equality)

$42 = 6x$

Divide both sides by 6

$7 = x$

$x = 7$

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Step-by-step explanation:

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3 years ago

Chen has 4 pizzas to share with his friends. If each person will eat 2/3 of a pizza,how many people can share the pizzas?

sweet-ann [11.9K]

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4 years ago

An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

vampirchik [111]

<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

$24.9^{\circ}$ and $65.1^{\circ}$

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to $90^{\circ}$ .

Let $a$ be the measure of the complementary angle.

If an angle is $40.2^{\circ}$ more than its complementary angle, the measure of that angle is $a +40.2$ . The sum of both angles are expressed $a +(a +40.2)$ but since the have to add to $90$ as they are complementary, $a +(a +40.2) = 90$ .

Solving for $a$ :

$a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9$

Since the other angle measures $a +40.2$ , we can plug in the value of $a$ to find the measure of the angle.

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3 years ago

One spring day, Landon noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m.,

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Answer:

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3 years ago

In one lottery game, contestants pick five numbers from 1 through 23 and have to match all five for the big prize (in any order)

mihalych1998 [28]

The probability of matching three out of five numbers is 153/33649

<h3>How to determine the probability?</h3>

The numbers are given as:

1 to 23

There are five matching numbers

The probability of getting a match is:

p = 5-k/n where k = 0, 1, 2

While the complement probability is

q = (n - 2)/n

Using the above formulas, the probability of getting from 5 is:

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Hence, the probability of matching three out of five numbers is 153/33649

Read more about probability at:

brainly.com/question/14290572

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2 years ago