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Nata [24]
3 years ago
11

Cali ran a​ 400-meter race in 65.49 seconds. Suppose that she ran the first half of the race in 31.73 seconds. How long did it t

ake her to run the second half of the​ race?
Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Answer:

Step-by-step explanation:

time taken to complete the second half=65.49-31.73=33.76 seconds

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Sam and Bobby want to know who cycled faster. The table shows the total miles Sam traveled over time. The graph shows the same r
tigry1 [53]

Answer:

<h2>Sam cycled fast, at a rate of 10 miles per hour.</h2>

Step-by-step explanation:

To solve this problem we have to find the slope of each case. The definition of a slope is:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

Where (x_{1};y_{1}) is the first point, and (x_{2};y_{2}) is the second point.

Let's find each slope.

<h3>Sam.</h3>

Let's use the points (2;20) and (5;50)

Applying the definition of the slope, we have:

m_{sam} =\frac{50-20}{5-2}=\frac{30 \ miles}{3 \ hour}=10 \ miles/hour

This relation means that Sam cycled 10 miles per hour.

<h3>Bobby.</h3>

Let's use the points (2;18) and (6;54)

m=\frac{54-18}{6-2}=\frac{36 \ miles}{4 \ hour}=9 \ miles/hour

Bobby cycled 9 miles per hour.

Therefore, according to these ratios, Sam cycled fast, at a rate of 10 miles per hour.

7 0
2 years ago
HELP! if a||b, what is the value of x?
NemiM [27]

Answer:

x=9

Step-by-step explanation:

50 degrees and (10x-40) degrees are alternate interior angles and are, as such, equal.  Thus, 50=10x-40, or 90 = 10x, or x = 9.

6 0
3 years ago
On a number line there are six spaces. On the first is the number 2, on the last space is the number 42, on the third space is x
trapecia [35]
1st space is 2
6th space (last) is 42
in betwen that is 5 spaces to go
find distance from 2 to 42
42-2=40

40=5 spaces
divide 5
8=1 space
each space goes upby 8

2=1st space
2+8=2nd space
2+8+8=3rd space=18=x


x=18
5 0
3 years ago
What are the coordinates (x, y) at which the graphs of 3.6x − 2y = 6 and −2.7x + y = 3 intersect? Round to the nearest tenth if
Bas_tet [7]
3.6x - 2y = 6
-2.7x + y = 3.....multiply by 2
----------------
3.6x - 2y = 6
-5.4x + 2y = 6 (result of multiplying by 2)
----------------add
-1.8x = 12
x = 12/-1.8
x = - 6.67 (or -20/3)

3.6x - 2y = 6
3.6(-6.67) - 2y = 6
-24.01 - 2y = 6
-24.01 - 6 = 2y
-30.01 = 2y
-30.01 / 2 = y
-15 = y

solution : (-6.67, -15)
6 0
3 years ago
A rectangle has a perimeter of 35 1 half feet. If the length is 12 feet, what is the area of the rectangle?
Bess [88]

Answer:

The area of the rectangle is 69 feet squared.

Step-by-step explanation:

8 0
2 years ago
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