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3 years ago

A group of campers hike 2 1/2 km every hour. How many km can they hike for 3 2/4 hours?

Mathematics

1 answer:

ella [17]3 years ago

8 0

Answer:

8 3/4 km

Step-by-step explanation:

2.5 km * 3.5 hours = 8.75 km in 3.5 hrs

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A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?

cupoosta [38]

Answer:

$\displaystyle y=-\frac{1}{2}x+1$

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two points are given: (-6,4) and (-2,2). Calculating the slope:

$\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}$

The equation of the line is, so far:

$\displaystyle y=-\frac{1}{2}x+b$

To calculate the value of b, we use any of the given points, for example (-6,4):

$\displaystyle 4=-\frac{1}{2}(-6)+b$

$\displaystyle 4=3+b$

Solving:

b = 1

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{2}x+1}$

We can see none of the choices is correct.

8 0

3 years ago

A given polygon has an area of 42 square feet. If the polygon is enlarged by a linear scale factor of 5, what is the area of the

Fittoniya [83]

Answer:

1050 ft²

Step-by-step explanation:

Enlarging the polygon by a factor of 5 has the effect of increasing the area by a factor of 5², that is 25

new area = 25 × 42 = 1050 ft²

5 0

3 years ago

Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $500 per wee

Leno4ka [110]

Answer:

900w>6500+550w

Step-by-step explanation:

8 0

2 years ago

What is the mode of the data represented in this line plot?

Elden [556K]

The answer to your question is 3

6 0

2 years ago

3(q−7)=27 what is q mean in this equation

ArbitrLikvidat [17]

Probably Just The Variable

3 0

3 years ago

Read 2 more answers