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3 years ago

Name a number that can be evenly divided by 6 and and by 7

1 answer:

7 0

There are an infinite number of them. The smallest one is 42,
and every multiple of 42 is another one.

I don't remember the official correct way to solve this problem.
I can only show you my own way of doing it.

I take the bigger number, and I go through its multiples, one by one,
until I spot one that's also a multiple of the smaller one.

Example: 6 and 7.
Go through the multiples of 7:

7 ... no, not a multiple of 6
14 ... no, not a multiple of 6
21 ... no, not a multiple of 6
28 ... no, not a multiple of 6
35 ... no, not a multiple of 6
<em><u>42</u></em> ... Yes ! A multiple of 6. yay !

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Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause

vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

She drove 3 hours on the interstate
The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

7 0

3 years ago

A number was multiples by -4 then this product was increased by 4. If the result was -24 what was the number.

ivanzaharov [21]

This is how I would do it atleast

4 0

3 years ago

Read 2 more answers

Given: angle 2 and angle 3 form a linear pair, angle 1 and angle 3 are vertical angles, and m angle 1, m angle 4, and m angle 5

Volgvan

Answer:

Step-by-step explanation:

<1 + <2 = 180 degrees (straight angle)

<3 + <5 + <4 = 180 degrees (straight angle)

<1 = <3 (vertical angles)

<1+<2 = <3+<4+<5 (straight angles)

<2 = (<3-<1)+<4+<5 (<3 - <1 = 0)

<2 = <4 + <5

5 0

3 years ago

To maximize the probability that customers purchase products during a visit to a website, a company that provides marketing ser

Gelneren [198K]

Answer:

A. Diagram attatched

B. 4.7%

C. 0.42

Step-by-step explanation:

A. In order to understand the probability tree, we have to define three different scenarios that could happen when certain customer visits the website:

1. Discount (30%)

2. Free shipping (40%)

3. No special offer, (it must be 30% because all gives a total of 100%)

Then, for each scenario two things could happen, customer makes a purchase or not. Given the information above, each branch of the tree has the specified percentage of occurrence or probability.

B. Once the probability tree is made, the next step is to multiply the percentages of each consecutive branch. For example:

The percentage of customers that visit the website, receive free shipping and make a purchase is 40% x 5 %, as it has been specified in the picture.

Then, after calculate all percentages of customers that make a purchase, it is necessary to add them to finally get a total of 4.7%.

C. We can understand it as follows:

The customers are divided between three main sets:

Those who were offered with special discount.

Those who were offered with free shipping.

Those who received no special offer.

Inside these sets there is the set of costumers who made a purchase, and we have already that percentage, it is 4.7%. However, to determine the asked probability, we have to keep our attention in the intersection between the set of those who were offered with free shipping and those who made a purchase. The percentage of that tiny set over the percentage of customers who made a purchase, is the probability that we must determine:

P ( B│A)=(P(A∩B))/(P(A))=0.02/0.047=0.42

Where A: the costumer made a purchase

B: the costumer received an offer of free shipping

The probability that a costumer were offered with free shipping given that he made a purchase is 0.42.

7 0

3 years ago

Which costs the most per ounce, 60 oz. of peanut butter for $5.40, 28 oz. for $2.24, or 16 oz. for $1.76? Explain how you got yo

ira [324]

Answer:

28 oz. for $2.24 cost most per ounce

$12.5 per oz

Step-by-step explanation:

Find the cost per ounce by dividing the total oz by cost of the total oz

60 oz. of peanut butter for $5.40

Cost per the ounce = 60 oz / $5.40

= $11.11 per oz

28 oz. for $2.24

Cost of peanut butter per ounce = 28 oz / $2.24

= $12.5 per oz

16 oz. for $1.76?

Cost of peanut butter per ounce = 16 oz / $1.76

= $9.10 per oz

28 oz. for $2.24 cost most per ounce

3 0

3 years ago