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3 years ago

A math class is having a discussion on how to determine if the expressions 4x-x+ 5 and 8-3x-3 are equivalent using

Mathematics

2 answers:

Slav-nsk [51]3 years ago

8 0

Answer:

Step-by-step explanation:

When you are trying to find if they are equivalent, you only want to use one value. If they are both positive, it doesn't mean that they are quivalent. They would have to be the same.

Sergeu [11.5K]3 years ago

7 0

Answer:

the correct answer is the second one

Step-by-step explanation:

You might be interested in

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent.Find the single reduction the

Evgen [1.6K]

Answer:

40% . The single reduction together is 40%.

Step-by-step explanation:

Let the bicycle cost is x before reduced price.

First 25% is reduced and again 20% further reduced.

Let the single reduction is y% if the two reduction together are equal.

Solution,

Case .1

reduction cost $=x\times 25%$ %

$=x\times 25/100$

$=x/4$

The cost of bicycle after reduction of 25% is

$=x-x/4=3x/4$

cost of reduction further reduction of 20% $=3x/4\times 20$ %

$=3x\times 20/(4\times 100)$

$=3x/20$

The new cost of bicycle is further reduction of 20% is

$=3x/4-3x/20$

$=\left ( 15x-3x \right )/20$

$=12x/20=3x/5$

Case.2

if single reduction is done new cost of cycle is equal

$x-x\times y$ %= $3x/5$

$x\left ( 1-y/100 \right )=3x/5$

$\left ( 100-y \right )/100=3/5$

$100-y=60$

$y=40$ %

single reduction of a cycle is 40%

8 0

3 years ago

Jack picked 10 ears of corn. He and two of his sisters ate two each. What is the amount of corn left represented as a

Burka [1]

<u>ANSWER: </u>

Jack picked 10 ears of corn. The amount of corn left is $\frac{2}{5}$ ears of initial corn.

<u>SOLUTION: </u>

Given, Jack picked 10 ears of corn.

Now the total corn present is 10 ears.

He and two of his sisters ate two each.

Then, remaining corn = 10 ears – eaten corn

= 10 – 2 (by him) – 2 (by his first sister) -2 (by his second sister)

= 10 – 6 = 4

Now, the amount of corn left in fraction is remaining corn divided by initial corn.

Left over corn = $\frac{remaining corn}{initial corn}$

$= \frac{4}{10} = \frac{2}{5}$

Hence, the amount of corn left is $\frac{2}{5}$ ears of initial corn.

5 0

4 years ago

he U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5700. Assu

Papessa [141]

Answer:

87.08% percentage of families spend more than $4000 annually on food and drink

Step-by-step explanation:

Given -

average annual expenditure on food and drink for all families is $5700

Mean $(\nu)$ = 5700

standard deviation $(\sigma )$ = 1500

Let X be the no of families spend annually on food and drink

percentage of families spend more than $4000 annually on food and drink =

$P(X > 4000)$ = $P(\frac{X - \nu }{\sigma }> \frac{ 4000 - 5700}{1500})$

= $P(Z > - 1.13)$ Using $(Z = \frac{X - \nu }{\sigma })$

= 1 - $P(Z$

= 1 - .1292

= .8708

= 87.08%

7 0

4 years ago

Stacy wants to make 100 name tags with ribbons attached to them. each name tag requries 5 centimeter of ribbon. she has 3.25 met

nydimaria [60]

So convert 3.25 meters to centimeters, and you get 325 centimeters.
Now divide 325 by 5 (for each ribbon), and you get 65 name tags.
Therefore, she needs 35 MORE name tags to get to 100.
Multiply 35 by 5 and you get 175 MORE centimeters of ribbon.

Hope this helped!

4 0

4 years ago

If a five digit number is rounded to the ten thousands place is it possible for the rounded number to be a six digit number.

Bingel [31]

When rounding a number, the digit of the number can be increased up to 1, but the digit won't be decreased. So, it is possible to round a five digit number into six digit number. But to increase the number digit, the number should be rounded up. To be rounded up, a number should have value 5 or more.

4 0

4 years ago