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Tamiku [17]
3 years ago
12

laura decides to walk to her job. she walks 1 1\2 miles in 3\5 hour. what is laura's walking rate? laura's job is 4 1\2 miles aw

ay. if she starts walking to her job at 9:00 a.m. and is scheduled to start work at 11:00 a.am., will she arrive at her job on time?
Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0
To find the rate in miles per hour, divide the miles by the hours.

(1 1/2 miles)/(3/5 hour) =

= 3/2 miles * (5/3 hour)

= 5/2 mph

= 2 1/2 mph

Her walking rate is 2 1/2 mph.

(4 1/2 miles) / ( 2 1/2 mph) =

= 9/2 miles / (5/2 mph)

= 9/2 * 2/5 hours

= 9/5 hours

= 1 4/5 hours

From 9:00 a.m. to 11 a.m., she has 2 hours, but she only needs 1 4/5 hours to walk, so she will make it to work on time.
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Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16
IrinaK [193]

Answer:

Jogging 6th time.

Step-by-step explanation:

We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.

We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.

We know that an arithmetic sequence is in form a_n=a_1+(n-1)d, where,

a_n = nth term of sequence,

a_1 = 1st term of sequence,

n =  Number of terms in sequence,

d = Common difference.

Let us find common difference of our given sequence as:

\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

1

Let us solve for n.

1

1

1\cdot \frac{16}{3}

5.333

n>5.333

We can also write next terms of our sequence as:

\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.

7 0
3 years ago
A certain third-degree polynomial function has zeros at-5, -1, and 2. Which could NOT be a factor of the expression that defines
Kitty [74]

Answer:

I am pretty sure it is the second option

Step-by-step explanation:

Hope this helps

8 0
2 years ago
Find the quotient: -40 ÷ 5
Hoochie [10]
The answer for this would be negative eight
5 0
2 years ago
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Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)
sergeinik [125]

Answer:

4times1/4(y-(-25/4))=(x-(-3/2)) small 2

4p(y-k)=(x-h)small 2

something like that I belive

or just y>xsmall2+3x-4

7 0
3 years ago
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If 3x-13=8, find the value of -4?
sukhopar [10]
If you're looking for x then it's 7. The value of -4 is -4.
7 0
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