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3 years ago

Find the unit rate. 180 miles in 3 hours

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

60 miles per hour

Step-by-step explanation:

First, put the equation in a fraction.

You would put 180 up top because people always say miles per hour not the other way around.

You can see the dividing line as your "per" and your "hour" would be the bottom number.

To find the unit rate, you will divide the numerator (180) and the denominator (3).

Your final answer should be 60 miles per hour.

$\frac{180}{3} = \frac{60}{1}= 60$

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Alemu, Tulu, Kassa and Tegitu worked for 4 hours, 6 hours, 5 hours

GaryK [48]

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$1000/(20 worker-hours) = $50/(worker-hour)
Alemu received 4*$50 = $200
Tulu received 6*$50 = $300
Kassa and Tegitu each received 5*$50 = $250

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3 years ago

How many hundreths need to reach 4 thents

grin007 [14]

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3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

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2 years ago

WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!!!!!!!!!!!

Kipish [7]

Answer:

4000 times

Step-by-step explanation:

The numbers from 1 to 9999 can be shown in the form of:

3xyz, x3yz, xy3z. xyz3

Each of x, y, z represent the digits from 0 to 9, so 10 ways each.

For each of the forms we have:

10*10*10 = 1000 ways and

Total of:

1000*4 = 4000 ways

By the way this is applicable to any digit.

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2 years ago

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olganol [36]

Replace x with |4x|+5 and simplify

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3 years ago