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slava [35]
3 years ago
10

D. One holding pen uses 500 feet of fence

Mathematics
1 answer:
inn [45]3 years ago
7 0

9514 1404 393

Answer:

  500 ft or 166 2/3 yards

Step-by-step explanation:

The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...

  (1000 yd)/6 = 166 2/3 yd = 500 ft

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Write an equation in slope-intercept form for this line.
iVinArrow [24]

Answer: y = 5/2x + 6

Step-by-step explanation:

y - y₁ = m(x - x₁)

y - (-9) = 5/2(x- (-6))

y + 9 = 5/2(x+ 6)

y +9 = 5/2x + 15

y = 5/2x + 15 - 9

y = 5/2x +6

6 0
3 years ago
Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
I have a box of 24 different types of cup cakes. 1⁄2 of the cupcakes are vanilla. 1⁄8 of the cupcakes are strawberry. And the re
AlexFokin [52]

Answer:

21 7/8 is choclate

1/2 or 2 is vanilla

1/8 is strawberry

Step-by-step explanation:

1/2 x 4 is is 2

1/8 < 2

2 of the cupcakes (into eights) are vanilla from which a dominatorof 8

2 plus 1/8 is 2 1/8

24 - 2 1/8 is 21 7/8

8 0
3 years ago
What is the equation of a line in slope intercept form, given that the slope of the line is 1 and a point on
choli [55]

Answer:

y= -x +2

Step-by-step explanation:

y-y1 = m(x-x1)

y - 0 = 1(x - (-2))

y = -x + 2)

y = x + 2.

4 0
3 years ago
If C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E
ycow [4]
<h3>Answer:    -20</h3>

==========================================================

Work Shown:

Let x be the location of E on the number line.

Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2

midpoint = (endpoint1 + endpoint2)/2

C = (E+F)/2

Plug in E = x, C = -8 and F = 4. Then solve for x

C = (E+F)/2

-8 = (x+4)/2

(x+4)/2 = -8

x+4 = 2(-8) .... multiplying both sides by 2

x+4 = -16

x = -16-4 .... subtract 4 from both sides

x = -20

The location of point E on the number line is -20

-------------

As a check, lets add E and F to get E+F = -20+4 = -16

Then cut this in half to get -16/2 = -8, which is the proper location of point C

This confirms our answer.

8 0
3 years ago
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