# Solve the equation 4+0.3x=19

Answer: Step #1).  Subtract 4 from each side of the equation.

Step #2).  Divide each side by 0.3 .

At this point, be careful.  The answer will jump up off the paper

4+0.3x=19

0.3x=19-4

0.3x=15

x=15/0.3

x=50

## Related Questions

Help me with equations

-- Do anything you need to do in order to get 'x' all by itself on one side and everything else on the other side.-- As soon as you do anything to one side of the equation, you must immediately do the same thing to the other side.-- That's the whole book on solving any equation with a single variable.

The hypotenuse of a right triangle is 26 mm. One leg of the right triangle is 10 mm. What is the length of the other leg? (4 points) Group of answer choices 18 mm 20 mm 24 mm 28 mm

24 mm

Step-by-step explanation:

Since it is a right triangle, we can use Pythagorean theorem

where a and b are the legs, and c is the hypotenuse.

We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.

Solve the exponents

Now, solve for b. To do this, get b by itself.

First, subtract 100 from both sides

Take the square root of both sides

b=24

So, the other leg is 24 mm

24mm

Step-by-step explanation:

I took the Quiz

What is the scale factor of 6 inches to 9 inches converted to 5 feet to 7.5 feet

I believe it's times 12

Divide p(x) = x4 + 6x3 + 7x2 − 6x − 8 by x + 4 and by x − 3 to find the remainder in each case. Make sure to use the remainder theorem.

The remainder theorem says that dividing a polynomial by leaves a remainder of . Here, , then .

When you divide the given polynomial by x + 4, the remainder is 0. When you divide by x - 3, the remainder is 428.

### Explanation:

To divide the polynomial p(x) = x^4 + 6x^3 + 7x^2 − 6x − 8 by x + 4 and x - 3 using the remainder theorem, first you substitute the roots of the divisor into the polynomial.

For x + 4, the root is -4. Substituting -4 into the polynomial yields p(-4) = (-4)^4 + 6*(-4)^3 + 7*(-4)^2 - 6*(-4) - 8 = 0. Thus, the remainder is 0 when dividing by x + 4.

For x - 3, the root is 3. Substituting 3 into the polynomial yields p(3) = (3)^4 + 6*(3)^3 + 7*(3)^2 - 6*(3) - 8 = 428 . Thus, the remainder is 428 when dividing by x - 3.

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The pyramid shown has a square base that is 32 32 centimeters on each side. The slant height is 24 24 centimeters. What is the lateral surface area?

Lateral surface area of a pyramid can be expressed as:
L = P × l
where:
L - Lateral surface area
P - Perimeter of a base
l - slant height

We have:
L = ?
P = ?
l = 24 cm
a = 32 cm

Perimeter of a base which is a square is:
P = 4 × a
P = 4 × 32 cm
P = 128 cm

Thus,
L = P × l
L = 128 cm × 24 cm
L = 3072 cm²

Therefore, the lateral surface area is 3072 cm².