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3 years ago

Simplify the following expression. 7^-5/6.7^-7/6. 1/491/141449

1 answer:

4 0

${7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } \\ = {7}^{ - \frac{5}{6} - \frac{7}{6} } \\ = {7}^{ - \frac{12}{6} } \\ = {7}^{ - 2} \\ = \frac{1}{ {7}^{2} } \\ = \frac{1}{49}$
The answer is 1/49

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Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

Kryger [21]

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

$a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}$

$\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}$

3 0

3 years ago

What is the square root of 100 times two divided by two

gogolik [260]

Answer:

10 is your answer

Step-by-step explanation:

√((100 * 2)/2)

Simplify. First, follow the Parenthesis. Combine 100 with 2

100 * 2 = 200

Next, divide by 2

200/2 = 100

Root 100

√100 = √10 * √10 = 10

10 is your answer

An easier way to solving this is to first cancel out the 2's ( multiplying 2 and dividing 2 would do nothing), and just square rooting 100, giving you the answer 10.

8 0

3 years ago

Read 2 more answers

3. Which statements about the line that passes through (-2, 0) and (2, -4) are true?

diamong [38]

Answer:

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: $(y_2-y_1)/(x_2-x_1)$ . Plugging in the values (-2,0) and (2, -4), we get:

$(-4-0)/(2+2)$

$-4/4$
$-1$

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula: $b = y_1 - m * x_1$

$b = 0 -(-1) * (-2)$

$b = 1 * (-2)$

$b = -2$

Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

$y = mx +b$
$y = -x -2$

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

8 0

2 years ago

Read 2 more answers

What is 5/10 times 2/4 show step by step explanation HELP ASAP

Darya [45]

5/10 *2/4

Cross out 2 and 10, divide by 2. 2/2=1 , 10/2=5

5/5*1/4= 5/20

reduce the fraction

divide by 5 for the numerator and denominator

5/5=1

20/5=4