Find the area of a circle with a diameter of 6.
Either enter an exact answer in terms of it or use 3.14 for I and enter your answer as a decimal.
units2

Answer:

7 7/24

Step-by-step explanation:

first put the wholes inside the fraction:

[tex]1 \frac34 = \frac44 + \frac34 = \frac74[/tex]

[tex]4 \frac16 = \frac{24}{6} + \frac16 = \frac{25}{6}[/tex]

Then multiply numerator times numerator, denominator times denominator and take out wholes again:

[tex]\frac74 \times \frac{25}{6} = \frac{7 \times 25}{4 \times 6} = \frac{175}{24} = 7 \frac{7}{24}[/tex]

Answer:

7325.34

Step-by-step explanation:

Answer:

For the 9% she invested $2,300

For the 10% she invested $2,500

Step-by-step explanation:

Let the amount invested be $x and $y in both cases respectively

Since the total invested is $4,800

This means that;

x + y = 4800 ••••••••••••(i)

Now let’s have a look at the interests.

For the 9%

Interest would be 9/100 * amount invested

= 9/100 * x = 9x/100

For the 10%, interest would be

10/100 * y = 10y/100

Adding both will give a total of 457

9x/100 + 10y/100 = 457

multiply through by 100

9x + 10y = 45700 •••••••• (ii)

From equation i, we can write x = 4800 - y

we can substitute this into the second equation

9(4800-y) + 10y = 45700

43200 -9y + 10y = 45,700

43200 + y = 45,700

y = 45,700-43,200 = $2,500

Recall

x = 4800 -y

so x = 4800 -2500 = 2300

Answer:

-0.5 or -1/2 or A

Step-by-step explanation:

180 degrees is Pi radians.  To find out what the measure is in the paranthesees, divide 180 by 6 and get 30.  Now multiply it by 7 to get 210.  The question is asking for the sin(210).  The sin of 210 is -0.5

Answer:

Costs are $490

49 shirts are sold

Step-by-step explanation:

98 + 8x = 10x

98 = 2x

49 = x

98 + 8(49) = $490 in costs

49 shirts sold

Answer:

[tex]A.x=-8[/tex]

Step-by-step explanation:

Answer:

20 counters.

Step-by-step explanation:

50/200 or 1/4 of the counters have white paint on them.

That means you can expect 1/4 of the 80 counters pulled out to have white paint on them or 20 counters.

Answer:

16.5x = 465.3

Step-by-step explanation:

The distance traveled is equal to the gallons time the miles per gallon

465.3 = 16.5 * x where x is the miles per gallon

16.5x = 465.3

Answer:

6^8

Step-by-step explanation:

When the equation looks like this, you can multiply the exponents to give you 6^8. I think that's the kind of answer you're looking for :)

Hope this helps you!

Solution,

Volume of the prism= l*b*h

=1 1/2*8*2 1/2

= 3/2*8*5/2

= 30 cubic units

Hope it helps

Good luck on your assignment

Answer:

A. 55h + 275 = 440; h=3

Step-by-step explanation:

Since all answer choices have a different H= , finding how many hours you have left to drive will give you the right answer.

You've already driven 275 miles in your 440 mile trio so you can subtract the 275 to find out how much you will still need to drive.

440 - 275 = 165

You already know that you are driving at 55 mph so divide 165 by 55 and the answer is three.

Option A was the only answer choice which listed h=3 so that is the correct answer.

Answer:

210

Step-by-step explanation:

1: Part/whole=%/100

2: 100-5=95

3: 3150/30=$105 uniforms.

Answer: $210

Hope this helps.

Answer:

1376

Step-by-step explanation: You have to multiply 344 and 4 which is 1376.

Answer:

Step-by-step explanation:

300x4=1200

4x44=176

1200+176=1376

∠5 = 118

Step-by-step explanation:

If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.

A straight line is equal to 180 so if we do...

[tex]180-62[/tex]

= 118.

∠5 will be equal to 118.

If we go even further, because vertical angles are congruent...

∠7 = 62

∠8 = 118

Answer:

[tex] m \angle \: 6 = 118 \degree[/tex]

Step-by-step explanation:

[tex]m \angle \: 5 + m \angle \: 6 = 180 \degree.. (straight \: line \: \angle s) \\ \because \: m \angle \: 5 = 62 \degree \\ \therefore \: 62 \degree+ m \angle \: 6 = 180 \degree \\ \therefore \: m \angle \: 6 = 180 \degree - 62 \degree \\ \huge \red{ \boxed{\therefore \: m \angle \: 6 = 118 \degree}}[/tex]

Answer:

760 music books per each 5 years

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

a ) Increased by 100 %, b ) Increased by 50 %, c ) Decreased by 33 and 1/3 %, d ) Decrease by 50 %, e ) Increased by 200 %, f  ) 66 and 2 / 3 %

Step-by-step explanation:

See steps below;

[tex]a ) Percent Increase from 1 - 2 ;\\starting value - 1, end value - 2 ;\\2 - 1 = Increase by 1,\\1 / 1 - Solution; Increase by 100 percent[/tex]          

[tex]b ) Percent Increase from 2 - 3 ;\\starting value - 2, end value - 3,\\3 - 2 = Increase by 1,\\1 / 2 - Solution; Increase by 50 percent[/tex]

[tex]c ) Percent Decrease from 3 - 2 ;\\starting value - 3, end value - 2,\\3 - 2 = Increase by 1,\\1 / 3 - Solution; Decrease by 33 and 1 / 3 percent[/tex]

[tex]d ) Percent Decrease from 2 - 1 ;\\starting value - 2, end value - 1,\\2 - 1 = Decrease by 1,\\1 / 2 - Solution ; Decrease by 50 percent[/tex]

[tex]e ) Percent Increase from 1 - 3 ;\\starting value - 1 , end value - 3,\\3 - 1 = Increase by 2,\\2 / 1 - Solution ; Increase by 200 percent[/tex]

[tex]f ) Percent Decrease from 3 - 1;\\starting value - 3, end value - 1,\\3 - 1 = Decrease by 2,\\2 / 3 - Solution ; Decrease by 66 and 2 / 3 percent[/tex]

Solution; a ) Increased by 100 %, b ) Increased by 50 %, c ) Decreased by 33 and 1/3 %, d ) Decrease by 50 %, e ) Increased by 200 %, f ) Decrease by 66 and 2 / 3 %

Answer:

Step-by-step explanation:

a)7x + 2 = -19  {subtract 2 from both sides}

7x + 2 -  2 = -19 - 2

            7x = -21   {Divide both sides by 7}

         7x/7 = -21/7

             x = -3

b) 3x - 1/3 = 5

3x - 1/3 +1/3 = 5 + 1/3  {Add 1/3 to both sides}

               3x =15/3 + 1/3

               3x =16/3

             3x/3 = 16/3*3 {Divide both sides by 3}

                 x =16/9

                 x =1 7/9

c) 5x - 4  = 21

5x -4 + 4 = 21 +4 {Add 4 to both sides}

          5x = 25

       5x/5 = 25/5    {Divide both sides by 5}

            x = 5

d) -7x  = 21 {Divide both sides by -7}

-7x/-7 = 21/-7

        x = -3

e)   18 - 7x = -3

18 - 7x - 18 = -3 - 18   {Subtract 18 from both sides}

          -7x = -21   {Divide both sides by -7}

      -7x/-7 = -21/-7

              x = 3

f)     3(x+4) = 21   {use distributive property}

   3x + 3*4 = 21

    3x  + 12 = 21

3x + 12 - 12 = 21 - 12       {Subtract 12 from both sides}

              3x = 9   {Divide both sides by 3}

           3x/3 = 9/3

                 x = 3

g)     3x - 9 = 5x - 3  {add 9 to both sides}

 3x - 9 + 9 = 5x - 3 + 9

             3x = 5x + 6

       3x - 5x = 5x + 6 - 5x     { subtract 5x form both sides}

             -2x = 6  {Divide both sides by -2}

         -2x/-2 = 6/-2

                 x = -3

h) 4x + 6 - 7x + 9 = 18   {Add the like terms}

           -3x  + 15 = 18  {Subtract 15 from both sides}

      -3x + 15 -15 = 18 - 15

                    -3x = 3   {Divide both sides by -3}

               -3x/-3 = 3/-3

                      x = -1

[tex]i) \frac{-4}{9}x = -36[/tex]

Multiply both sides by 9

[tex]9*\frac{-4}{9}x =9*-36[/tex]

 -4x = -324     {Divide both sides by -4}

-4x/-4 = -324/-4

       x = -81

[tex]j)\frac{-7}{8}x - 6 = 8[/tex]   {Add 6 to both sides}

[tex]\frac{-7}{8}x-6+6=8+6\\\\\frac{-7}{8}x=14\\[/tex]    {Multiply both sides by 8}

[tex]\frac{-7}{8}x*8=14*8\\\\-7x=14*8\\[/tex]       {Divide both sides by -7}

[tex]\frac{-7}{-7}x=\frac{14*8}{-7}[/tex]

x =-2*8

x = -16

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5

Answer:

-2x^2-8x+12

Step-by-step explanation:

f(x)= 3x^2-2x+4

g(x)= 5x^2 +6x -8

(f-g)(x) =  3x^2-2x+4-(5x^2 +6x -8)

Distribute the minus sign

(f-g)(x) =  3x^2-2x+4-5x^2 -6x +8

Combine like terms

-2x^2-8x+12

Answer:

28

Step-by-step explanation: You need to divide 7 by 1/4. Whenever you divide fractions you keep the first number as it is, change the sign to multiplication and write the reciprocal of the second fraction which is you have to flip the fraction. It is going to be 7 times 4/1. Which is 28/1 which is 28.

Answer:

0+8

Step-by-step explanation:

add 8 each time

it is 0 because in times table if you have 8, 16 and 24 then you don't need to add it on or take away from it, so it will be 0.

I hope that helped.

Answer:

11.7

Step-by-step explanation:

1 Cubic centimeter (cm3) is equal to 1 milliliter (mL). 1 Liter is equal to 1 cubic decimeter and there are 1000 cubic centimeters in a cubic decimeter, that makes 1 cubic centimeter equals to 1 milliliter.

Answer:

Внешний радиус

Тогда внутренний радиус

Объем материала равен разности объемов внешнего и внутреннего шаров, то есть

Answer:

1239.25 cm³

Step-by-step explanation:

Outer diameter 16 cm

⇒ R= 8 cm

Inner radius  

⇒ r= R- 2= 6 cm

The volume of the wall of 2 cm thickness:

⇒ 4/3πR³- 4/3πr³= 4/3*3.14*(8³-6³)= 1239.25 cm³

Answer:

15

Step-by-step explanation:

Answer:

[tex]68\frac{1}{4}[/tex] pounds

Step-by-step explanation:

The combined weight of 13 bags is 13 multiplied by the weight of each bag.

The weight of each bag is [tex]5\frac{1}{4}[/tex] pounds. Therefore, the weight of 13 bags is:

[tex]5\frac{1}{4} * 13\\ \\= \frac{21}{4} * 13\\[/tex]

[tex]= 68\frac{1}{4}[/tex] pounds

Answer:

His 55 kg of cement is 5 kg short of the 60 kg he needs.

Step-by-step explanation:

Let r be a ratio useful in determining how much of each ingredient Henry needs:

4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.

4/8 of the total 120 kg must then be 60 kg made up of cement;

3/8                                 must then be 45 kg made up of sand; and

1/8                                   must then be 15 kg made up of gravel

His 55 kg of cement is 5 kg short of the 60 kg he needs.

Answer:

y=1/3x-3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Use the two points: (0,-3) (3,-2)

slope = (-3+2)/(0-3)

slope = -1/-3 = 1/3

y intercept = -3

Equation: y=1/3x-3