All categories

2 years ago

1 Shannon runs at a constant rate. She can run 3 miles in 26 minutes. What distance, Y in miles, can she run in 15 minutes, x?

Mathematics

1 answer:

Crazy boy [7]2 years ago

7 0

Answer:

1,75 miles

Step-by-step explanation:

3 miles ______26 minutes

1 miles =>26 :3 =8,5 (8 minutes and 5 seconds)

15:8,5 =1,75 miles

You might be interested in

ian is trying to estimate the distance across the lake d. he knows the measures shown in the diagram. which estimate is closest

masya89 [10]

Answer: The estimate is closest to the distance d is 4.2 miles

Step-by-step explanation:

In the given image, we can see that there is a right triangle, in which d is the side opposite to the right angle (largest angle in the triangle) which means its the longest side of the triangle.

[Since side opposite to the larger angle is larger]

Therefore, by Pythagoras Theorem we have

$d^2=(3.6)^2+(2.2)^2\\\Rightarrow\ d^2=12.96+4.84\\\Rightarrow\ d^2=17.8\\\Rightarrow\ d=\sqrt{17.8}\\\Rightarrow\ d=4.2190\approx4.2$

The estimate is closest to the distance d is 4.2 miles.

7 0

3 years ago

A line passes through the points (-1, -1)

Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

$y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))$

$y+1=\dfrac{8+1}{5+1}(x+1)$

$y+1=\dfrac{9}{6}(x+1)$

$y+1=\dfrac{3}{2}(x+1)$

Multiply both sides by 2.

$2(y+1)=3(x+1)$

$2y+2=3x+3$

$2y=3x+3-2$

$y=\dfrac{3}{2}x+\dfrac{1}{2}$

So, the equation of the line is $y=\dfrac{3}{2}x+\dfrac{1}{2}$ .

Now, check each point for this equation.

Putting $x=-3$ , we get

$y=\dfrac{3}{2}(-3)+\dfrac{1}{2}$

$y=\dfrac{-9+1}{2}$

$y=\dfrac{-8}{2}$

$y=-4$

Similarly,

For $x=9,y=15$ .

For $x=1,y=2$ .

For $x=4,y=6.5$ .

For $x=3,y=5$ .

For $x=-2,y=-2.5$ .

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

6 0

3 years ago

How many solutions does this linear system have?

Elenna [48]

Answer:

B- one solution: (1,-4)

Step-by-step explanation:

(1,-4)

y = -6x +2

-4 = -6(1) +2

-4 =-4

(1,-4)

-12x - 2y = -4

-12(1) -2(-4) = -4

-12 + 8 =-4

-4 = -4

if you put the value x and y into both equation you can find the solution

4 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (8, 2)(8,2) and (-4, 5)(−4,5)?

SOVA2 [1]

Answer:

y = -1/4x + 4

Step-by-step explanation:

(8,2) and (-4, 5)

Slope = (5 - 2)/(-4 - 8)

= 3/-12 = -1/4

Point (8,2)

b = 2 - (- 1/4)(8)

b 2+ 2 = 4

5 0

3 years ago

If an experimenter sets equal to .01, then she is defining a "statistically rare" event as an event occurring more than one time

Fynjy0 [20]

Answer:

The correct answer is an event occurring one or fewer times in 100 times if the null hypothesis is true.

Step-by-step explanation:

For a statistically rare event, its probability is relatively small and the event is very unlikely to occur. Therefore, if an experimental sets equal to 0.01 which is statistically rare, then we can interpret this mathematically as:

p(event) = 0.01 = 1/100

where p(event) is the probability of the event.

In addition, statistically, null hypothesis signifies no major difference between the specified parameters, and any obvious difference that might occur as a result of experimental error. Thus, it can be concluded that the event is occurring one or fewer times in 100 times if the null hypothesis is true.

3 0

3 years ago