How many fractions are equivalent to4/5

Answers

Answer 1

Answer: There is infinite amount of numbers that are equivalent

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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:

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

Let's subsitute the variable y into one of the equation above:

$\boxed {x + y = 10 }\n\boxed {x + (30)/(7) = 10 }\n\boxed { x = 10 -(30)/(7) }\n\boxed { x = (70-30)/(7) }\n\boxed { x = (40)/(7) }$

Robert's wire (x) is $(40)/(7)$ feet long and Maria's wire is $(30)/(7)$ long.

The difference between Robert's and Maria's is

$\boxed {= (40)/(7) - (30)/(7) }\n\boxed {= (10)/(7) }\n\boxed {= 1(3)/(7) }$

Learn More

Multistep problem brainly.com/question/2954322

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Keywords: multi-step problem, fraction, part to whole relationship, mixed fraction, additional fraction, subtraction fraction from a whole number

Use compatible numbers to estimate the quotient. 394.6÷9

Answers

Your answer is 43.8444444 and simplified you could also put it as 16.035

I need help with this please anyone this is 7th grade math homework.

Answers

Answer:

Yes, the number of quarters and the number of minutes are in a proportional relationship.

Step-by-step explanation:

The number of minutes is 6 times the number of quarters. This can be written as the equation y = 6x.

Help im confused pls help!

Answers

You would round the numbers to 830 and 20 and divide, that’d be 41.5, that’s your estimate. Then divide 828 and 23, that’d be 36. That’s your answer. Oh and to check your answer, 23 times 36=828

Is 100 MG less than 10g

Answers

no becuase 100 mg is greater than 10gs 100>10

there are 1000 grams in a gram and 1000 times 10 is 10000 so yes 100 mg is less than a 10g

Consider the sequence below.-4, -1, 2, 5, . . .

What is the 10th term of the sequence?

Answers

Answer: 23

Explanation: First of all, let's make sure we have an arithmetic sequence. An arithmetic sequence is a sequence that has a common difference which is the number repeatedly added or subtracted to reach the next term.

To get from -4 to -1, we're adding 3.

To get from -1 to 2, we're adding 3.

To get from 2 to 5, we're adding 3.

So we know that this is an arithmetic sequence because it has a common difference or the number that is repeatedly added which is 3.

Now, we want to determine the 10th term in this sequence.

There are 2 ways that you can determine the 10th term. You can keep on adding 3 until you get to the 10th term or you can use the explicit formula. I will show you the explicit formula which is shown below.

$^(a)n = ^(a)1(n - 1)d$

Now we want to determine what the 10th term is so we're trying to determine $^(a)10$ . Now, we know what $^(a)1$ is because it's our first term or -4. Now, n will be the number of terms we're solving for or 10. Lastly, we have the d which represents the common difference which is 3.

So plugging into the formula, we have $^(a)10 = -4 +(10 -1)(3)$ .

Now, make sure we apply order of operations because this is where many students make mistakes.

(10 -1) is going to be 9. Then we want to make sure we multiply before we add so 9 x 3 is going to be 27 and then -4 + 27 is 23.

So the 10th term in this sequence is 23.

35, because the intervals are +3,

3*10 = 30
Therefore,
5+30= 35

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