What’s the solution to this equation?
84=42+ x/3

Answers

Answer 1

Answer: Let's solve your equation step-by-step.
84
=
42
+
x
3
Step 1: Simplify both sides of the equation.
84
=
42
+
x
3
84
=
42
+
1
3
x
84
=
1
3
x
+
42
Step 2: Flip the equation.
1
3
x
+
42
=
84
Step 3: Subtract 42 from both sides.
1
3
x
+
42
−
42
=
84
−
42
1
3
x
=
42
Step 4: Multiply both sides by 3.
3
*
(
1
3
x
)
=
(
3
)
*
(
42
)
x
=
126
Answer:
x
=
126

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Jason is saving up for a skateboard and helmet. The skateboard is 45.50 with tax and the helmet is 18.25 with tax. He earned 1/3 of the money by mowing lawns and the rest by babysitting. How much did jason earn with babysitting

Answers

Answer:

2/3 of the money, $42.50

Step-by-step explanation:

The total Jason is saving is ...

$45.50 +18.25 = $63.75

If 1/3 was earned by mowing, the remaining 2/3 was earned by babysitting. Two thirds of the amount is ...

(2/3) × $63.75 = $42.50

Jason earned $42.50 by babysitting.

Square root of 7x plus the square root of 28x

Answers

$√(7x) + √(28x) \n√(7x) + √(4 * 7x) \n√(7x) + √(4)√(7x) \n√(7x) + 2√(7x) \n3√(7x)$

10 times the square of a nonzero number is equal to 90 times the number. whats the number?

Answers

9 because 10 times 9 is 90 and if you divide 90 by 10 you get 9

10n^2 = 90n
n^2 = 9n
n = 9

Hope this helps with your question.

Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.AC=square root<(-2-3)^2 +(6-2)
=square root<(-5)^2+(4)^2

What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary

Answers

Given:
AC = √(-2-3)² + (6-2)²
AC = √ -5² + 4²
AC = √ 25 + 16
AC = √41
AC = 6.40

I am assuming that the triangle is an equilateral triangle. This means that all sides are equal.

AC = AB = BC

Perimeter = 6.40 * 3 sides = 19.20

AC = √[(-2-3)^2 + (6-2)^] = √[5^2 + 4^2] = √[25+16] = √41 =6.4

To find the perimeter you need the lengths of AB and BC.

You already know the points (-2,6) and (3,2)

Then you need the point B to apply the distance formula from B to each of those points.

Hasan deposits $150 in a savings account that earns simple interest at an annual rate of 3%. He makes no other deposits or withdrawals. How much interest does his account earn after five years?

Answers

Answer:

$172.5 hope this helps

Step-by-step explanation:

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16 ft, express the area A of the window as a function of the width x of the window.

Answers

This answer uses NMF for which, if needed, the syntax can be found in my profile. Please ignore the LaTeX (the image), I cannot remove it/change it, and it is incorrect. The answer is: f(x)={π{{x}^{2}}/{4}+x(16-{πx}/{2}-x)}/{2}

Final answer:

The area A of a Norman window in terms of its width x can be expressed as the function A(x) = 8x - x²/2 - πx²/8, deriving this equation involves isolating variables from the given perimeter equation.

Explanation:

A Norman window has the shape of a rectangle topped with a semicircle. If we take x as the width of the window and y as the height of the rectangle, then the perimeter of the window is given by P = 2y + x + πx/2 = 16 (since the perimeter is the sum of the rectangle's two sides, the width, and half the circumference of a circle with diameter x).

From this equation, we can express y as a function of x: y = 8 - x/2 - πx/4.

Then, the area A of the window is the sum of the area of the rectangle and the area of the semicircle, which equals A = xy + πx²/8 = x(8 - x/2 - πx/4) + πx²/8 = 8x - x²/2 - πx²/4 + πx²/8.

Therefore, the area A of the window as a function of the width x of the window is A(x) = 8x - x²/2 - πx²/8.