Chris divided 1/2 pound of nails into 6 small bags. He wants all bags to have equal weight. How much does each bag weigh? A. 1/2 pound.B. 1/3 pound
C. 1/6 pound
D. 1/12 pound

Answers

Answer 1
Answer: D, 1/12 pound. A way to think of this is that if there is 1/12 in 6 different bags, you get 6/12, which is equivalent to 1/2

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5x+2+6x+9=10x+5 solve the equation.

Find the arc length of the semicircle

Answers

Answer:

6pi

Step-by-step explanation:

hop it helps

Answer:

18.8496 units (rounded o1ff to four decimal places)

Step-by-step explanation:

Arc length = 2 × π × r × (central-angle)/(360)

r (radius) = 12 units ÷ 2 = 6 units

Central angle = 180°

For our semicircle, the arc length = 2 × π × 6 × (180)/(360) = 18.8495559215 units

Or 18.8496 units (rounded o1ff to four decimal places)

Rewrite the parametric equation by eliminating the parameter x=4t+1 and y=t-3

Answers

Answer:

The equation is x = 4y + 13

Step-by-step explanation:

* Lets talk about the parametric equations

- Parametric equations are a set of equations that express a set

 of quantities as explicit functions of a number of independent

 variables

- Ex: x = at + b and y = ct + d are parametric equations

- We use them to find relation between the variables x and y

* Lets solve the problem

∵ x = 4t + 1 ⇒ (1)

∵ y = t - 3 ⇒ (2)

- The parameter is t to eliminate it find t in terms of x or y

- We will use equation (2) to find t in terms of y

∵ y = t - 3 ⇒ add 3 to both sides

∴ t = y + 3 ⇒ (3)

- Substitute the value of t in equation (3) in equation (1)

∵ x = 4t + 1

∵ t = y + 3

∴ x = 4(y + 3) + 1 ⇒ open the bracket

∴ x = 4y + 12 + 1 ⇒ add like term

∴ x = 4y + 13

* The equation is x = 4y + 13

Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.

Answers

1)\ \ \ \ \ (3)/(5) = (3\cdot20)/(5\cdot20) = (60)/(100) =0.60\ \ \ \ \ and\ \ \ \ \ (4)/(5) = (4\cdot20)/(5\cdot20) = (80)/(100) =0.80\n\nbetween\ e.g.:\ \ \ 0.61;\ \ 0.69;\ \ 0.7;\ \ 0.73;\ \ 0.79\n\n2)\ \ \ \ \ 3.00\ ...\ 4.00\n\nbetwen\ e.g.:\ \ \ 3,11;\ \ 3.25;\ \ 3.32;\ \ 3.59;\ \ 3.79;\ \ 3.94

Divide the following problems: 2/3 divided by 1/5, 5/9 divided by 10/11, 7/2 divided by 3/4, and 4 1/3 divided by 3/2. Show your work. (Try to get back to me as soon as you can, thanks!)

Answers

5,11/18,6 1/3, 2 8/9.

Thera are a total of 18 chairs if the ratio of the red chairs to brown chairs is 2to4 how many of them are red

Answers

6 chairs are red. 2:4= three equal parts. 18 divided by 3 is 6

Ten less the quotient If number and 3 is 6

Answers

Answer:

The number is 48

Step-by-step explanation:

The number be x

Quotient of the number and 3 : x/3

Ten less the quotient of the number and x :  x/3 -10

(x)/(3)-10=6\n\n(x)/(3)=6+10\n\n(x)/(3)=16\n\nx=16*3\n\nx=48

Answer:

Quotient of a number and 3 = x/3

Ten less the quotient of a number and 3 will equal 6

So...

10 - x/3 = 6

    + x/3      +x/3

10 = x/3 +6

-6              - 6

3 × 4=(x/3) × 3

12 = x