Solve (x 2 < 5) ∩ (x

Can someone help me with this math homework please!

IceJOKER [234]

Step-by-step explanation:

these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.

come on ! are you really not understanding this ?

I think you are not trying to learn and get better, you try to get others doing your work for you.

these problems are so simple that stating them here costs you more time than just solving them.

remember fractions ?

remember the problems to find the smallest common denominator for a list of fractions ?

the first question is exactly that.

what is the smallest common denominator of 3/4, 1/3 and 1/2 ?

because that is the number you need to multiply both sides to eliminate all fractions.

so, what is the smallest number that can be split by 4, 3 and 2 ?

is it 2 ? no, 4 and 3 can't do that.

is it 3 ? no, 2 and 4 can't do that.

...

is it 6 ? no, 4 can't do that.

...

is it 8 ? no, 3 can't do that.

...

is it 12 ? yeah ! all 3 can do that.

here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.

here it would be

2×3×4 = 24

but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.

"isolate the variable" means having it only on one side of the equation.

so, what do you think ?

subtracting any constants does not change anything for "j".

from all the offered options only the subtraction of 1.1j eliminates j from one side.

the runners save.

you only need to translate the words into the corresponding mathematical symbols.

runner 1 has $112 already saved.

that is our starting value for this runner.

so, 112 + ...

received a $45 gift card. so, $45 are added.

so, 112 + 45 + ...

saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.

so, 112 + 45 + 25m

we know already, it is the second option.

but for training purposes let's look at runner 2 too :

he starts with $50 already saved.

so, 50 + ...

saves $60 each month (m). same principle as above.

so, 50 + 60m

if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.

-3x + 1 + 10x = x + 4

how do we solve this ?

by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).

1 + 7x = x + 4

1 + 6x = 4

6x = 3

x = 3/6 = 1/2

hurray, it is the first option !

6 0

3 years ago

You and three friends decide to go to the fair. The cost for parking is three dollars. Admission is 12 dollars per person. If yo

nika2105 [10]

Let the variable f represent the amount of money that each person can spend on food.

We shall start by placing the total amount of dollars you have on the left side of the inequality. This has to be less than or equal to the number of dollars that you and your group of friends spends, because you can't spend more money than you have ;)

Also, on the right side of the inequality, we know that you and your friends spend 3 dollars, because that is how much parking costs. In addition to this, we have admission, which costs 12 dollars per person, and there are 4 people in your group. 12*4=48, which is the total cost of admission for your group. Finally, you need to add the cost of food to this side of the inequality, which is the same for each person in your 4 person group. This can be represented by the expression 4f.

So, if we write this inequality, it would be:

155≤ 3 + 48 + 4f

If we simplify the right side of the inequality, by combining like terms, we get the simplified inequality:
155 ≤ 51 + 4f

To further simplify this inequality, we must keep all of the integers on the left side, in attempt to get the variable alone on the right side. To do this, we must subtract 51 from both sides of the inequality, to get:

104 ≤ 4f

Finally, we must divide both sides of the inequality by 4, because it is the coefficient of f, and that is the variable that we are trying to get alone.

26 ≤ f

This means that you and each of your friends can only spend 26 dollars each on food.

3 0

3 years ago

Hey can you please help me posted picture of question

statuscvo [17]

The correct answer is the option A.

The explanation is shown below:

The option A is theoretical probability, because they did not make any experiment to determine the probability, while in the others options, they had to make equal tests for to determine the probability.

For example, Lisa had to attempted 25 basketball free throws to determine which one them she could make and, then, determine the probability. While Kelli did not have to make any test.

3 0

4 years ago

Given h(x)=3x+4h(x)=3x+4, solve for xx when h(x)=1h(x)=1.

dedylja [7]

3x+4=1

3x=-3

x=-1

Hope this helps!!!!

7 0

3 years ago

The median weight of 9 dogs in a pet store is 10 pounds.

ivanzaharov [21]

Answer:

..

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve (x 2 < 5) ∩ (x - 7 > -6).