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3 years ago

What is the constant expression of 3m+7

1 answer:

7 0

The constant in an algebraic expression is the only term that cannot be changed.

Terms with variables are not constants as their values can changed as the variables change.

Our equation is 3m+7

M is a variable. Therefore the term '3m' is not the constant.

This leaves us with the term '7'. There is no variable present in this term.

'7' is the constant in this equation.

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Help plsssssssssssss????

nikklg [1K]

Answer:

y=2/3+11

Step-by-step explanation:

5 0

3 years ago

Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he

Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, $time=\frac{distance}{speed}$

So, time for running= $\frac{8}{x}$

And time for riding= $\frac{11}{x+9}$

Equation becomes:

$\frac{8}{x}+\frac{11}{x+9}=1.5$

Now, multiply every term by 2x(x+9) to clear denominators:

$16(x+9)+22x=3x(x+9)$

Simplifying it we get

$3x^{2}-11x-144=0$

Solve the quadratic equation using formula

$x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}$

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x= $\frac{-16}{3}$

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0

4 years ago

Solve r = 1/2m^2p for p

hoa [83]

You just have to arrange the equation such that the p is the only term at the left hand side of the equation. Express it in terms of r and m.

r = 1/2*m²*p
Divide both left and right hand side equations by 1/2*m²
p = r/(1/2 *m²)
Take the reciprocal of 1/2 and multiply it. The final answer is:
p = 2r/m²

7 0

4 years ago

What is two hundred sixty-five thousandths in standard form?

Debora [2.8K]

Answer:

10^-1*2.65

Step-by-step explanation:

two hundred sixty-five thousandths= 0.265

We need a number between 1 and 10, to do the multiplication in standard form, so 0.265 turns into 2.65.

Because 2.65 becomes, smaller we use a negative power. We only move the decimal place once to the left, so we would multiply 2.65 by 10^1.

10^-1*2.65=0.265

7 0

4 years ago

Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x 500. Account B

12345 [234]

In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.

After k payments, the amount A still owed is

A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i, = (P-Mq/i)(1+[i/q])k + Mq/i. The amount of the fixed payment is determined byM = Pi/[q(1-[1+(i/q)]-nq)]. The amount of principal that can be paid off in n years isP = M(1-[1+(i/q)]-nq)q/i. The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]). The total amount paid by the borrower is Mnq, and the total amount of interest paid isI = Mnq - P.

3 0

3 years ago