All categories

3 years ago

Solve for x. 2x − 13 = 3x + 18

Mathematics

1 answer:

tankabanditka [31]3 years ago

3 0

2×-13=3×+18

subtract 2x from both sides

×+18=-13

subtract 18 from both sides

x=-31

You might be interested in

If g is the variable, which mathematical sentence expresses the information below? "The number of gallons of gas in the tank plu

Firdavs [7]

An equation for the sentence would be g + 7 = 12, where g is the unknown number of gallons.

5 0

3 years ago

Read 2 more answers

After selling your house and purchasing a new house you have $25,000 left you wish to invest. The first

Dominik [7]

Answer:

Of course CD is higher then investing in T-bill

5 0

3 years ago

One root of the equation x^2+6x+q=0 is twice the other root. Find q and the roots.

ella [17]

Answer:

q = 8

x₁ = -2, x₂ = -4

Step-by-step explanation:

For a quadratic equation ax² + bx + c, the sum of the roots is -b/a, and the product of the roots is c/a.

If the roots are x₁ and x₂, then:

-6/1 = x₁ + x₂

q/1 = x₁ x₂

Since we know one root is double the other, we can say x₂ = 2x₁. Plugging into the first equation and solving:

-6 = x₁ + 2x₁

-6 = 3x₁

x₁ = -2

Which means x₂ = -4. So the value of q must be:

q/1 = (-2) (-4)

q = 8

4 0

3 years ago

Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or

lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

$I=A.r.t$

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

$r=3.25/100=0.0325$

The interest is then calculated:

$I=12,000\cdot 0.0325\cdot 8=3,120$

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0

3 years ago

Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6

Katarina [22]

Answer:

x=0 ,y=6

Step-by-step explanation:

solve for the first variable in one of the equations

6 0

2 years ago