MATHEMATICS MIDDLE SCHOOL

Chile rode her bicycle from her house directly to the library in 4 minutes. The library is 1 mile from her house.Part A: What is Chloe's speed in miles per hour? Show your work and explain you reasoning.

Part B: Chloe's trip back to her house took twice as long as her trip to the library. What was Chloe's average speed for the entire trip (from her house to the library and back to her house)? Show your work and explain your reasoning.
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Answers

Answer 1

Answer:

Answer:

Part A) Speed of Chloe's bicycle from her house to the library = 15 mph

part B) Average speed = 10 mph

Step-by-step explanation:

Chile rode her bicycle from her house directly to the library in 4 minutes. The library is 1 mile from her house.

Distance between house and library = 1 mile

Time taken from house to library = 4 minutes

As we know, 60 minutes = 1 hour

So, 4 minutes $=(1)/(15)\ h$

$\text{Speed} = \frac{\text{distance}}{\text{time}}$

$\text{Speed}=(1)/(1/15)=15\text{ mph}$

Part A:

Speed of Chloe's bicycle from her house to the library = 15 mph

Part B: Chloe's trip back to her house took twice as long as her trip to the library.

From house to library:-

Distance = 1 mile

Time $=(1)/(15)\ h$

From library to house

Distance = 1 mile

Time $=(2)/(15)\ h$

$\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}$

$\text{Average speed}=(1+1)/((1)/(15)+(2)/(15))$

$\text{Average speed}=(2)/((3)/(15))$

Average speed = 10 mph

Answer 2

Answer: Chile's speed is 60/4 * 1 = 15 mph
Chile's speed on her way back = 15/2 = 7.5 mph
Chile's average speed = (15+7.5) / 2 = 11.25 mph

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Luciana is starting a two-week social media campaign to attract new subscribers to BlastOn, a music website for teens. She has the following data from her last campaign to help plan her strategy.Based on this data, what should be Luciana’s strategy for the new campaign?

If your answer is incomplete or confusing PLEASE DO NOT write the answer down. Or YOU will be REPORTED!!!!

Answers

Answer:

Luciana should post 5 social media posts per day.

Step-by-step explanation:

When Luciana posts 5 posts in a day, she gains more subscribers than any other amount of posts.

hope this was useful

What is the sum answer of (1/3)9³ =

Answers

$(1)/(3)\cdot9^3=(1)/(3)\cdot9\cdot9\cdot9=(9)/(3)\cdot9\cdot9=3\cdot9\cdot9=27\cdot9=\boxed{243}$

The solution of the question is 243 is the solution for the required equation.

What is an Expression?

expression is a set of terms combined using mathematical operations such as +, -, /,

How to solve the given expression?

The given expression is (1/3)9³.

We have to solve the expression.

Expand the given expression

(1/3)9³= (1/3)9×9×9

= 3×9×9

=27×9

= 243

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What is the shortset 1/3 2/5 3/10 or 1/4

Answers

$(1)/(4)$ because $(2)/(5) , (3)/(10), (1)/(4)$ can all be made into the LCM of 20 and turns the fractions into $(8)/(20), (6)/(20), (5)/(20)$ respectively. This makes $(1)/(4)$ the smallest of that group. That just leaves $(1)/(3), (1)/(4)$ . By using the exact same process, you use 3 and 4's LCM of 12 and get $(4)/(12), (3)/(12)$ . That makes $(1)/(4)$ the smallest of the group.

3/10 is least greatest becasue it is divided up into more sections with less colored in

Solve the equation log.(13-x)= 1.

Answers

The solution is, the value of x is, x = 12.

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the equation is,

13 - x = 1

isolating the like terms, that is taking the variable x in LHS and, taking the numbers in the RHS.

-x = 1 - 13

-x = -12

we get, negative symbol on both side,

so, we now,

remove minus from both of the sides.

x = 12

Hence, The solution is, the value of x is, x = 12.

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Answer:

13 - x = 1

-x = 1 - 13

-x = -12

remove minus from both of the sides.

x = 12

Step-by-step explanation:

List the partial products of 35x7

Answers

To find the partial products you multiply 7 times each digit of 35, taking into account the place value of each digit. The 5 is in the unis so its value is 5. The 3 is in the tens place, so its value is 3 * 10 = 30. Then the partial products are: 7 * 5 = 35 and 7 * 30 = 210, so the total product is the sum of the partial products: 35 + 210 = 245.

Final answer:

The partial products of 35×7 are 35 and 210. They are obtained by multiplying 7 by 5 and 7 by 30 respectively. The sum of these partial products gives the final product of 245.

Explanation:

In Mathematics, the process of multiplication can be broken down into steps called partial products. When you are multiplying 35 by 7, you could break this down into two steps based on the digits of the number 35 which are 30 and 5. First, multiply 7 by 5 (the one place of 35) to get 35. Secondly, multiply 7 by 30 (the tens place of 35) to get 210. These are your partial products, 35 and 210. When added together, they give the product of the original multiplication problem, 245.

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half of Robert's piece of wire is equal to 2 thirds of Maria's wire. The total lenght of their wire is 10 feet. How much longer is Robert's wire than Maria's?

Answers

You have a system of equations here. R=Robert's piece of wire M=Maria's piece of wire

R/2=2M/3
and
R+M=10

With some basic algebra, you can make that first equation into
R=4M/3
then use substitution to get
(4M/3)+M=10
Then solve for M
(4M/3)+(3M/3)=10
7M/3=10
7M=30
M=30/7

so Maria's wire is 30/7 feet long. With a little more substitution, we can get:
R+(30/7)=10
R=10-(30/7)
R=(70/7)-(30/7)
R=40/7 feet long

So your final answer would be that Robert's wire is 10/7 feet longer than Maria's (which you could always put into decimal form)

Robert's wire is $1(3)/(7)$ longer than Maria's wire

Further Explanation

Let's say

Robert's wire = x

Maria's wire = y

From the problem given we know that:

$\boxed {(1)/(2) x = (2)/(3)y }\n \boxed {x + y = 10 }$

$\boxed {x = 10-y }$

So we get two equations:

$\boxed {(1)/(2) x = (2)/(3)y }\n\boxed {(1)/(2) (10-y) = (2)/(3)y } \n\boxed {5 - (1)/(2)y = (2)/(3) y }\n\boxed {5 = (2)/(3)y + (1)/(2)y }\n\boxed {5 = (7)/(6) y }\n\boxed { y= (30)/(7) }$