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3 years ago

Team Infinite Dimentions canoed over 15 3/4 miles in 3 hours. What was their average rate of speed per hour

Mathematics

1 answer:

stira [4]3 years ago

8 0

Answer: 5 1/4 miles per hour

Step-by-step explanation:

Divide 15 3/4 (distance) by 3 (hours) and you get 5 1/4 (or 5.25) miles per one hour

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Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)

Airida [17]

Answer:

Step-by-step explanation:

The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is $-\frac{1}{3}$ , then the slope of the line perpendicular is $3$ .

Knowing this, we can start to construct the equation for the line:

$y = mx + b$

$y = 3x + b$

To solve for $b$ , we plug in the coordinates of the point that we know the line runs through, $(2, 1)$ :

$y = 3x + b$

$1 = 3(2) + b$

$1 = 6 + b$

$b = -5$

Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

$y = 3x - 5$

5 0

4 years ago

Zain has 12 shirts. Three shirts are red, 4 shirts are blue, and the rest are white. What is the ratio of white shirts to blue s

liberstina [14]

Answer:

5:4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Estimate the sum 7 8/9 + 3.1

Yanka [14]

Answer:

$\large\boxed{7\dfrac{8}{9}+3.1=10\dfrac{89}{90}}$

Step-by-step explanation:

$\text{Convert the decimal to the fraction:}\\\\3.1=\dfrac{31}{10}=3\dfrac{1}{10}\\\\7\dfrac{8}{9}+3.1=7\dfrac{8}{9}+3\dfrac{1}{10}\\\\\text{The common denominator is 90.}\\90=9\cdot10\\\\7\dfrac{8}{9}=7\dfrac{8\cdot10}{9\cdot10}=7\dfrac{80}{90}\\\\3\dfrac{1}{10}=3\dfrac{1\cdot9}{10\cdot9}=3\dfrac{9}{90}\\\\\\7\dfrac{8}{9}+3.1=7\dfrac{80}{90}+3\dfrac{9}{90}=(7+3)+\dfrac{80+9}{90}=10\dfrac{89}{90}$

3 0

3 years ago

Please do the agree or disagree part and justification

Jlenok [28]

Answer:

<em>We disagree with Zach and Delia and agree with Alicia</em>

Step-by-step explanation:

The domain of a function is the set of values of the independent variable that the function can take according to given rules or restrictions.

The range is the set of values the dependent variable can take for every possible value of the domain.

The graph shows a continuous line representing the values of the function. We must take a careful look to the values of x (horizontal axis) where the function exists. It can be done by drawing an imaginary vertical line passing through the value of x. If that line touches the graph of the function, it belongs to the domain. It's clear that every value of x between -5 and 3 (both inclusive because there are solid dots in the extremes) belong to the domain:

Domain: $-5\leq x \leq 3$

The range is obtained in a similar way as the domain, but the imaginary lines must be horizontal. That gives us the values of y range from -7 to 5 both inclusive:

Range:

$-7\leq y \leq 5$

Thus we disagree with Zach and Delia and agree with Alicia

8 0

3 years ago

What is the volume for this prism?? Thank you :)

klemol [59]

Answer:

Volume = Area by height. V = A X h.

Step-by-step explanation:

i hope it helps

7 0

3 years ago