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atroni [7]
3 years ago
13

1. Suzette ran and biked for a total of 44.75 mi in 4 h. Her average running speed was 6.5 mph and

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Suzette ran for 1.6 hours and biked for 2.4 hours.

Let x = total hours Suzette ran.

Let y = total hours Suzette biked.

The equation to solve the question will be:

x + y = 4 ...... i

6.5x + 14y = 44.75 ....... ii

From i, y = 4 - x

Put the value of y into equation ii

6.5x + 14y = 44.75

6.5x + 14(4 - x) = 44.75

6.5x + 56 - 14x = 44.75

Collect like terms

6.5x - 14x = 44.75 - 56

-7.5x = -11.25

x = 11.25/7.5

x = 1.6 hours

Since x + y = 4

1.6 + y = 4

y = 4 - 1.6

y = 2.4 hours.

Suzette ran for 1.6 hours and biked for 2.4 hours.

Read related link on:

brainly.com/question/24429956

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<span>–2.75 >  –3

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7 0
3 years ago
Help picture below problem 8
Radda [10]

Answer:

C. never

Step-by-step explanation:

A trapezoid has exactly one pair of opposite sides parallel.

A parallelogram has exactly two pairs of opposite sides parallel.

A trapezoid is never a parallelogram.

6 0
2 years ago
Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?
Whitepunk [10]

Given:

Point is T(-3,8).

To find:

The coordinates of T' after R(y-axis)\circ R(x-axis).

Solution:

We know that, R(y-axis)\circ R(x-axis) means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

(x,y)\to (x,-y)

T(-3,8)\to T_1(-3,-8)

If a figure reflected across y-axis, then

(x,y)\to (-x,y)

T_1(-3,-8)\to T'(-(-3),-8)

T_1(-3,-8)\to T'(3,-8)

Therefore, the required point is T'(3,-8).

4 0
3 years ago
A and B are two events.
Vesna [10]
In order to determine if the events are independent or not we need to find the conditional probabilities.

The conditional probability of event A, given event B is denoted as P(A|B)

P(A|B)= \frac{P(A*B)}{P(B)}

P(A*B) indicates P(A and B)

Using the values, we get:

P(A|B)= \frac{0.28}{0.8}=0.35

Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.

Therefore, the correct option is the second one.
2. A and B are not independent events because P(A∣∣B)≠P(A)
5 0
4 years ago
Read 2 more answers
After painting the fence steve and janet realize that their house also needs painting. But steve will have to do the painting hi
gladu [14]

Answer:

Therefore, Steve will paint house for 20.6 days.

Step-by-step explanation:

We know that Steve determines that it would take them 9 days to paint the house together (if they were both healthy) and that it would take Janet (when healthy) 16 days to paint the house alone.

We conclude that in 1 day Janet painted 1/16 of the house. In nine days, Janet painted 9/16 of house.

So, 7/16 of house paint Steve in nine days.

We have the following proportion:

\frac{7}{16}:9=1:x\\\\\frac{7}{16}x=9\\\\x=9\cdot \frac{16}{7}\\\\x=20.6

Therefore, Steve will paint house for 20.6 days.

4 0
3 years ago
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