MATHEMATICS HIGH SCHOOL

Which amount is less 250 mL or 250 L

Answers

Answer 1
Answer: To see which one is lesser, it is necessary to convert one to the unit of the other. This can be done using the following relation: 1 L = 1000mL

Converting 250mL to L:

250 mL * (1 L / 1000 mL) = 0.25 L.

Therefore, the amount 250 mL is the lesser of the two.

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Which of the following is the solution of 0.125x+1-0.25x<-3

Answers

Step-by-step explanation:

To find the solution to the inequality 0.125x + 1 - 0.25x < -3, we can simplify and solve for x.

0.125x + 1 - 0.25x < -3

Combining like terms:

-0.125x + 1 < -3

Subtracting 1 from both sides:

-0.125x < -4

Now, to isolate x, we divide both sides by -0.125. However, since we are dividing by a negative number, we need to reverse the inequality sign:

x > -4 / -0.125

Simplifying the division:

x > 32

Therefore, the solution to the inequality 0.125x + 1 - 0.25x < -3 is x > 32.

Which of the following is the rational exponent expression of fifth root of 7 n?

Answers

The rational exponent expression of  \sqrt[5]{7n} will be (7n)^(1)/(5) .

What is rational exponent ?

Rational exponent are exponents of numbers that are expressed as rational numbers, that is, in a^{(p)/(q) } form.

i.e. a^{(p)/(q) }=\sqrt[q]{a^n}

We have,

\sqrt[5]{7n}

so, Using the mentioned formula,

a^{(p)/(q) }=\sqrt[q]{a^n}

\sqrt[5]{7n}=(7n)^(1)/(5)

So, this is the rational expression(7n)^(1)/(5) using above mentioned formula.

Hence, we can say that the rational exponent expression of  \sqrt[5]{7n} will be (7n)^(1)/(5) .

To know more about rational expression click here

brainly.com/question/11790376

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5n7 (7n)5 7 times n to the one fifth power quantity of 7n to the one fifth power

You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip. Express the total time required to complete the round​ trip, T, as a function of the average velocity on the outgoing​ trip, x.

Answers

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

          420=t_1* x\n\nt_1=(420)/(x)

Distance to vacation place = Time for return trip x average velocity of return trip

          420=t_2* (x-15)\n\nt_2=(420)/((x-15))  

We have total time T = t₁ + t₂

That is

                     T=(420)/(x)+(420)/((x-15))

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.

How to solve equation with one variable

Answers

An equation has an equal sign. This makes it possible to find the one value the variable can be to "balance" the equation. 

To solve an equation, we isolate the variable (get the variable by itself on one side of the equation). This is done by "undoing" the operation on the variable. 

Example - x+5=18 

x=18-5  | isolate |

x = 13
Hope this RANDOM example helps u understand the concept better

Ax+by=1
bx-ay=a+b
solve in linear equation in 2 variables

Answers

\left\{\begin{array}{ccc}ax+by=1&/\cdot a\nbx-ay=a+b&/\cdot b\end{array}\right\n\n+\left\{\begin{array}{ccc}a^2x+aby=a\nb^2x-aby=ab+b^2\end{array}\right\n------------\n.\ \ \ \ \ a^2x+b^2x=a+ab+b^2\n.\ \ \ \ \ \ (a^2+b^2)x=a+ab+b^2\n.\ \ \ \ \ \ \ \ \ \ \ \ x=(a+ab+b^2)/(a^2+b^2)\n\na\cdot(a+ab+b^2)/(a^2+b^2)+by=1\n\n(a^2+a^2b+ab^2)/(a^2+b^2)+by=1\n\nby=1-(a^2+a^2b+ab^2)/(a^2+b^2)

by=(a^2+b^2)/(a^2+b^2)-(a^2+a^2b+ab^2)/(a^2+b^2)\n\nby=(a^2+b^2-a^2-a^2b-ab^2)/(a^2+b^2)\n\nby=(b^2-a^2b-ab^2)/(a^2+b^2)\n\ny=(b^2-a^2b-ab^2)/(a^2b+b^3)

y=(b(b-a^2-ab))/(b(a^2+b^2))\n\ny=(b-a^2-ab)/(a^2+b^2)\n\nAnswer:\n\nx=(a+ab+b^2)/(a^2+b^2)\ and\ y=(b-a^2-ab)/(a^2+b^2)
ax+by=1
bx-ay=a+b
The solution in attached file

Find the value of 4x^2– 2y when x = 3 and y = 2.

Answers

Answer:

The answer is 32.

Step-by-step explanation:

Remember that order of operation is very important in this problem.

Substitute x for 3 and y for 2 in the equation.

When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.
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