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Vinvika [58]
3 years ago
10

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, durin

g the interval 0.75 to 1.00 hours?
Mathematics
2 answers:
grigory [225]3 years ago
8 0

Answer:

5\ \frac{miles}{hour}

Step-by-step explanation:

<u><em>The complete question is</em></u>

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours) Miles Traveled (Miles)

0.50 2.00

0.75 3.50

1.00 4.75

Let

x ----> the time in hours

f(x) ----> the distance traveled in miles

so

we have

x (Hours)   0.50   0.75  1.00

f(x) (Miles)  2.00   3.50  4.75

we know that

To find the average speed, we divide the change in the output value by the change in the input value

the average speed is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

a=0.75

b=1.00

f(a)=f(0.75)=3.50  

f(b)=f(1.00)=4.75

Substitute

\frac{4.75-3.50}{1-0.75}

\frac{1.25}{0.25}

5\ \frac{miles}{hour}

Ierofanga [76]3 years ago
8 0

Answer:5.00 miles per hour

Step-by-step explanation:

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The sum of two odd consecutive numbers, the greater of which is equal to 2n+1.
Alborosie

Answer:

43 and 41

Step-by-step explanation:

2n-1+2n-3=84

4n-4=84

4n=88

n=22

2(22)-1 and 2(22)-3

44-1 and 44-3

43 and 41

write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.

.

Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.

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4 years ago
If X = 18 inches, Y = 80 inches, and Z = 82 inches, what is the cosine of B?
svetoff [14.1K]
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3 years ago
· The volume of a box in the shape of a cube<br>is 2197 cm3. Find the area of one side of the box.​
Yuliya22 [10]

Answer:

Let the side of the cube be x.

Volume = length × width × height

For a cube:

Length = width = height

Now volume = x × x × x = x³

This equals 2197

Therefore :

X³ = 2197

X = ∛2197

= 13

The side of the cube = 13cm

Area = length × width

Length = width = 13cm

Area = 13 × 13 = 169

= 169 cm²

I hope this helps!

4 0
4 years ago
Which expression is equivalent to 4 − (−7)?<br><br> A 7 + 4<br> B 4 − 7<br> C −7 − 4<br> D −4 + 7
ELEN [110]

Answer:

7+4

Step-by-step explanation:

When you are subtracting a negative, you are really adding the number. For example, four minus negative seven is equal to four plus seven.  

4 - (-7) = 4+7

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Let me know if this helps!

3 0
3 years ago
Read 2 more answers
Lydia invested $5900 in an account paying an interest rate of 2 5/8% compounded monthly. Jace invested $5900 in an account payin
Alexus [3.1K]

Answer:

$875.18

Step-by-step explanation:

Given data

Lydia

P=$5900

Interest rate=2 5/8% >>21/8= 2.625%

compounded monthly.

First, convert R percent to r a decimal

r = R/100

r = 2.625%/100

r = 0.02625 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 5,900.00(1 + 0.0021875/12)^(12)(19)

A = $ 9,710.01

Jace

P=$5900

Interest rate= 2 1/8% >>> 17/8>> 2.125%

Time= 19 years

First, convert R percent to r a decimal

r = R/100

r = 2.125%/100

r = 0.02125 per year,

Then, solve our equation for A

A = Pert

A = 5,900.00(2.71828)^(0.02125)(19)

A = $ 8,834.83

Hence the difference in their account balance is

= 9,710.01- 8,834.83

=$875.18

Therefore Lydia has $875.18 more money than Jace

4 0
3 years ago
Read 2 more answers
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