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3 years ago

James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long

2 answers:

6 0

Divide each 3/4 by 1/8. To do this, multiply by the reciprocal of 1/8. $\frac{3}{4} *\frac{8}{1}$ That equals 24/4, or 6 pieces

mina [271]3 years ago

4 0

Answer=6 pieces

First lets convert 3/4 to ?/8...

$\frac{3}{4}= \frac{6}{8}$

3/4 is equivalent to 6/8.

Now we can divide 6/8 by 1/8

$\frac{6}{8}/ \frac{1}{8}=6$

Answer=6 pieces

You might be interested in

Whats 8 times 3 divided by 12

SOVA2 [1]

Answer:

$2$

Step-by-step explanation:

Step 1: Convert words into numbers

$(8 * 3) / 12$

Step 2: Multiply

$(8 * 3) / 12$

$24 / 12$

Step 3: Divide

$24/12$

$2$

Answer: $2$

7 0

3 years ago

Read 2 more answers

soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280

erma4kov [3.2K]

Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal

6 0

3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

makkiz [27]

Answer:

Step-by-step explanation:

$x + 2y + 3z = 12$

$z=\frac{12-x-2y}{3}$

Volume = $V=f(x,y) = xy(\frac{12-x-2y}{3} )$

find partial derivatives using product rule

$f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)$

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0

3 years ago

One day a store sold 21 sweatshirts. white ones cost $9.95 and yellow ones cost $ 11.50. in all, $235.30 worth of sweatshirts

FromTheMoon [43]

For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

5 0

3 years ago

abduls average speed is 40 mph in heavy traffic and his average speed is 50 mph in light traffic for 1 hour and light traffic fo

alexira [117]

Answer:

over 9000

^^^

Liar.

Step-by-step explanation:

over 9000

^^^

Liar.

3 0

3 years ago