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Svet_ta [14]
1 year ago
12

on a sunny day liam decided to walk to his grandmother's house. After walking for a while at a rate of 3 mph, Liam realized that

it might start raining, so he decided to take a taxi the rest of the way. The taxi traveled at a speed of 30mph. If he arrived 2 hours before he started, what distance did liam traveled by taxi?
Mathematics
1 answer:
inna [77]1 year ago
7 0

Answer:

the answer is 10

Step-by-step explanation:

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At a display booth at an amusement park, every visitor gets a gift bag. Some
kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0
1 year ago
The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
1 year ago
Sasha lives 1,493 miles from her grandmother. One year, Sasha's family made 4 round trips to visit her grandmother. How many mil
Veronika [31]
Sasha's family traveled 11,944 miles.

(( 4 round trips = 8 trips ))
       (( 1493 x 8 ))

     Hope this helps!
7 0
2 years ago
I have a bag with 6 marbles numbered from 1 to 6. Mathew has a bag with 12 marbles numbered from 1 to 12. Matthew chooses one ma
MakcuM [25]
66 ways is the answer.

6 0
2 years ago
there are 3 teams of 18 employees working today company policy says that we need to have one supervisor for every 8 employees on
Vadim26 [7]
The <span> answer  is 6.75. Since if you divide the number by 8 you get 6.75.</span>
8 0
1 year ago
Read 2 more answers
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