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tiny-mole [99]
2 years ago
12

A college runner set a school record of 3:59.37 in the mile run. assuming that the distance was measured accurately to five sign

ificant figures, what was the runner's average speed in kilometers per hour?
Mathematics
1 answer:
amm18122 years ago
5 0

We are given that the time record in a 1 mile run is 3:59.37 where this is in the format of HH:MM

There are 3 hours 59.37 minutes. Converting every unit to hour:

3 hours + 59.37 min (1 hour / 60 minute) = 3.9895 hour

 

So the average speed is:

average speed = 1 mile * (1.61 km / mile) / 3.9895 hour

<span>average speed = 0.4 km / hour</span>

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Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0
2 years ago
28. $400 is divided between Kas, Jaspar and Jae so that Kas has twice
Inga [223]

Let's define our variables before anything else:

Kas = S

Jaspar = R

Jae = E

$400 is divided between Kas, Jaspar and Jae

This means S + R + E = 400

Kas has twice  as much as Jaspar

This means that S = 2R

Jaspar has three times as much as Jae

This means that R = 3E

Because both of our smaller formulas have R, let's replace everything in the first formula with R

S + R + E = 400

plug in values

2R + R + R/3 = 400

multiply everything by 3 to get rid of the denominator

6R + 3R + R = 1200

add

10R = 1200

divide

R = 120

So Jaspar receives $120

3 0
2 years ago
Label the place value for 987,164.302
alexdok [17]
9 hundred thousands
8 ten thousands
7 thousands
1 hundreds
6 tens
4 ones
.3 tenths
.00 hundredths
.002 thousandths
7 0
2 years ago
Read 2 more answers
The One-to-One Property of natural logarithms states that if ln x = ln y, then _____
MrRissso [65]

Answer:

x=y

Step-by-step explanation:

There is exactly one value of x for a value of the function by the one-to-one property.

4 0
2 years ago
A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The
svetoff [14.1K]
Because he needs less than (note that he didn't say he needs no more than) 6 pounds, first inequality is C) x+y<6

Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient. If we multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.

Because he says that he wants that mixture costs no more than 30 that means that it costs less than 30 but 30 can be the answer as well.

The last answer is E)  7x + 5y \leq 30
8 0
2 years ago
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