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svetlana [45]
3 years ago
13

an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav

el to pass the truck in 4 seconds?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

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Answer:

D

Step-by-step explanation:

Geometric sequence has to do with a pattern of multiplication, and D has a pattern of times 4 if that makes any sense

8 0
4 years ago
Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont
Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

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

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

0\ kWh \leq x < 400\ kWh

The price is equal to

y=\$30

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh  and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

x\geq 400\ kWh

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

y=0.097x

<em>Find the range</em>

For x=400 kWh

y=0.097(400)=\$38.8

so

y\geq \$38.8

The range is the interval -----> [38.8, infinite)

7 0
3 years ago
Jeans ($48) Sweater ($42) Tennis Shoes ($69) T-Shirt ($21) Blouse ($52) Heather is shopping for back-to-school clothes. The item
IgorC [24]
You can use rounding to figure this problem out. If the number in the ones place is 0 to 4, round down to the nearest tens place; if the number in the ones place in 5 to 9, round up to the nearest tens place.

48 rounds to 50.
42 rounds to 40.
69 rounds to 70.
21 rounds to 20.
52 rounds to 50.

Now use mental math to estimate the cost (50 + 40 + 70 + 20 + 50). Heather will spend about $230.

Answer:
D) $230
8 0
3 years ago
Read 2 more answers
How do you right 2.1 in words
Lelu [443]
Answer: Two and one tenth.
5 0
3 years ago
Suppose a DVD costs $19 and a CD cost $14. Right in the inequality to find how many CDs you can buy along with one DVD if you ha
andrezito [222]

Answer: 19 + 14x ≤ 65

Explanation:

$19 is only added once because there is only one DVD purchased. $14 is added an unknown number of times, thus the variable X is included. We know that that the total number of dollars spent for both items is either less than or equal to 65. (Depending on your teacher, they may want you to write "19 + 14x < 65" if they want you to write the answer only for discrete numbers).

4 0
2 years ago
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