Simplify the following equation -3(3w-2x)-2(-x-7w)

Can someone answer this question answer it correctly please and show work please

3241004551 [841]

Answer:

42) 254.47 ft²

43) 56 pendants

Step-by-step explanation:

42)

The radius of a circle is equal to half of its diameter.

Diameter = 18 feet

Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet

Area of a circle = π $r^{2}$

Substitute in known value of r

Area = π $9^{2}$

Substitute in pi

Area = 3.14 * $9^{2}$

Solve exponent

Area = 3.14159265359 * 81

Area = 254.4690049408

(Rounds to 254.47)

254.47 ft²

43)

$1\frac{1}{2} =$ 1.5 ounces per pendant

3 pieces of silver:

$1\frac{7}{8}$ pounds

14 ounces

$2\frac{1}{2}$ pounds

Convert to improper fractions (1 lb = 16 ounces)

$\frac{15}{8}$ pounds

$\frac{14}{16}$ pounds

$\frac{5}{2}$ pounds

Find a common denominator for the fractions

$\frac{30}{16}$ pounds

$\frac{14}{16}$ pounds

$\frac{40}{16}$ pounds

Add

$\frac{30}{16}$ + $\frac{14}{16}$ + $\frac{40}{16}$

$\frac{84}{16}$ pounds

Find how many pendants can be made out of this amount

$\frac{84}{16}$ pounds

Convert back to ounces (1 lb = 16 ounces)

84 ounces

Amount to make one pendant:

$1\frac{1}{2}$ ounces

Convert to decimal

1.5 ounces

Divide 84 by amount of silver per pendant

84 ÷ 1.5

56

The maximum number the pendants that the manufacturer can make is 56

Hope this helps :)

8 0

3 years ago

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night

mario62 [17]

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by <em>proportions</em>, using a rule of three.

The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.

When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The <em>rule of three</em> is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

$1672x = 1540 \times 1330$

$x = \frac{1540 \times 1330}{1672}$

$x = 1225$

$1,225 is earned from nachos.

To learn more about proportions, you can take a look at brainly.com/question/24372153

8 0

3 years ago

Can somebody please answer the question giving brainliest!

ollegr [7]

Answer:

A counter clockwise

Step-by-step explanation:

4 0

3 years ago

A new movie premiered on Friday, September 2, and 1350 people attended. Attendance then decreased by 20 percent each day. Write

elena-14-01-66 [18.8K]

The answer is 1210
$7 \times 20 - 1350$

6 0

4 years ago

If the diameter of a circular pond is x meter, what is the its circumference?

nataly862011 [7]

Answer:

piex

Step-by-step explanation:

the circumference of a circle is pie times the diameter of the circle.

6 0

2 years ago