1.2x+3=9x
2.w is t area of a rectangle w a width of 12f & l of 10f ?
3.w is t perimeter of a triangle which sides measure 6? 8,and 10 in?
4.average of 132,140,145 & 128.
5.radius of a circle with a dimeter of 8in.
6.$1,500.00 + 5% sales tax =
Here are some answers. Can you sort out which answers go with which questions? You'll also need to label the answers ($, in., sq.ft., etc.
120
4
3/7
1575
136.25
24
1.3/7
2.120ft
3.24inches
4.136.25
5.4inches
5.$1575.00
1. To solve the equation 1.2x + 3 = 9x:
- Start by isolating the variable x on one side of the equation and grouping similar terms. Subtract 1.2x from both sides of the equation:
3 - 1.2x = 9x - 1.2x
3 - 1.2x = 7.8x
- Next, isolate the variable x by moving the constant term to the other side of the equation. Subtract 7.8x from both sides:
3 - 1.2x - 7.8x = 7.8x - 7.8x
3 - 9x = 0
- Finally, solve for x by isolating the variable. Subtract 3 from both sides:
-9x = -3
x = -3 / -9
x = 1/3
2. To find the area of a rectangle with a width of 12 feet and a length of 10 feet:
- The formula for the area of a rectangle is A = width * length.
- Plug in the values: A = 12 feet * 10 feet
- Multiply the width and length: A = 120 square feet
- Therefore, the area of the rectangle is 120 square feet.
3. To find the perimeter of a triangle with sides measuring 6 inches, 8 inches, and 10 inches:
- The formula for the perimeter of a triangle is P = side1 + side2 + side3.
- Plug in the values: P = 6 inches + 8 inches + 10 inches
- Add the values: P = 24 inches
- Therefore, the perimeter of the triangle is 24 inches.
4. To find the average of the numbers 132, 140, 145, and 128:
- Add all the numbers together: 132 + 140 + 145 + 128 = 545
- Divide the total sum by the number of values: 545 / 4 = 136.25
- Therefore, the average of the numbers is 136.25.
5. To find the radius of a circle with a diameter of 8 inches:
- The formula for the radius of a circle is r = d/2, where r is the radius and d is the diameter.
- Plug in the value: r = 8 inches / 2
- Divide the diameter by 2: r = 4 inches
- Therefore, the radius of the circle is 4 inches.
6. To calculate the total cost after adding a 5% sales tax to $1,500.00:
- Start by finding the tax amount. Multiply $1,500.00 by 0.05 (5% expressed as a decimal): $1,500.00 * 0.05 = $75.00
- Add the tax amount to the original price: $1,500.00 + $75.00 = $1,575.00
- Therefore, the final cost after adding the 5% sales tax is $1,575.00.