A changes saved
Set up a proportion and use it to solve for x.
2
10
х
3

Answer:

l=13 ft

w=6.5 ft

Step-by-step explanation:

a rectangular garden would have 4 sides

two of the sides are x feet long

and the other two sides are 2x feet long

therefore

x+x+2x+2x=39

which is the same as saying

6x=39

divide both sides by 6 to get

x=6.5

so the width is 6.5 feet and the length is twice that or 13 feet

Answer:

44 inches and 24 inches

Step-by-step explanation:

Let [tex]l,b[/tex] denotes length and breadth of a rectangle.

[tex]lb=1056[/tex]

A square of 3 inches is cut from each corner, and an open box is made by turning up the ends and sides.

New length [tex]=l-6[/tex] inches

New breadth [tex]=b-6[/tex] inches

Height of box [tex]=3[/tex] inches

Volume of box = length × breadth × height

[tex](l-6)(b-6)3=2052[/tex]

[tex]lb-6l-6b+36=684\\6(l+b)=408\\l+b=68\\b=68-l[/tex]

Put [tex]b=68-l[/tex] in [tex]lb=1056[/tex]

[tex]l(68-l)=1056\\l^2-68l+1056=0\\l^2-44l-24l+1056=0\\l(l-44)-24(l-44)=0\\(l-24)(l-44)=0\\l=24,44[/tex]

At [tex]l=24,b=\frac{1056}{24}=44[/tex] inches

At [tex]l=44,b=\frac{1056}{44}=24[/tex] inches

Answer:

Step-by-step explanation:

Height = √(90^2-63^2) = √4131 ≈ 64 ft

Answer:

(x-4)(x-3)

Step-by-step explanation:

x^2 - 7x + 12

Find what will multiply to make 12 and add to -7

(x - 4)(x - 3)

Answer:

1. P = [tex]\frac{I}{rt}[/tex]

2.  y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         (depending on how you want the equation arranged)

3. c = [tex]\frac{a-bd}{b}[/tex]

4 t = [tex]\frac{A - p }{pr}[/tex]

Step-by-step explanation:

1. I =Prt for P:

I = Prt                           divide both sides by rt to isolate P

P = [tex]\frac{I}{rt}[/tex]

2. 3x + 11y = 6 for y

   3x + 11y = 6                  subtract 3x from both sides

   11y = 6 - 3x                   divide both sides by 11

   y = [tex]\frac{6 - 3x}{11}[/tex] or [tex]\frac{-3x +6}{11}[/tex]         depending on how you want the equation arranged

3. a = b(c + d) for c

   a = b(c + d)                distribute b to (c+d)

   a = bc + bd                subtract bd from both sides

   a - bd = bc                 divide both sides by b

   c = [tex]\frac{a-bd}{b}[/tex]

4. A = p + prt for t

   A = p + prt                   subtract p from both sides

   A - p = prt                    divide both sides by pr

   t = [tex]\frac{A - p }{pr}[/tex]

Answer:

22 and 2/3

Step-by-step explanation:

17/6= 2.8333333

2.8333333333 multiplied by 8= 22.66666666 or 22 and 2/3

Step-by-step explanation:

Height of tower - 80m

Distance between foot of tower and boat 1 = x

Distance between boat 1 and boat 2 =y

Tan 45 = 1 = 80/x

x = 80

Tan 30 = 1 / root 3 = 80 / 80 + y

y = 80 root 3 + 80

Answer:3.294. Hope this helps!

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Divide each side by '-1'.

p = -4

Simplifying

p = -4

Answer:

D) 31

Step-by-step explanation:

2x-7+2x+63=180

4x+56=180

4x=180-56

4x=124

x=124/4

x=31

Answer:

(d) x = 31

Step-by-step explanation:

(2x)° + (2x - 7)° + 63° = 180°

4x - 7 + 63 = 180

4x = 180 - 56

4x = 124

x = 31

true

oops, i read it wrong LOL, it's true. .65 is less than .75

expression for "12 times 1."  -> 12*1

Answer:

Step-by-step explanation:

2. -x+4+3x+2=2x+6

3. -x-2-4x-3=-5x-5

4.-36-24=-60

5.  9+10-6-6=7

Answer:

50%

Step-by-step explanation:

To solve this you would do 1350/2700 which is 50%

Answer:

The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Step-by-step explanation:

Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:

X + X + 1.15 + X + 1.15 = 8.60

3X + 2.30 = 8.60

3X = 8.60 - 2.30

X = 6.30 / 3

X = 2.10

Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Answer:

seventeen degrees(17⁰)

Answer:

2 1/4 or 9/4

Step-by-step explanation:

9/10÷4/10= 9/10*10/4

now simplify the 10

9/1 * 1/4= 9/4

now turn it into a mixed number

2 1/4

Answer:

2.25, 9/4 or 2 1/4

Step-by-step explanation:

Answer:

the cost per wing is $2

Step-by-step explanation:

Answer:

no, 71.106 is greater

Step-by-step explanation:

71.08= 71 and 8/100

71.106= 71 and 10/100

71.106's fraction is larger

Answer:

they ate it all together as it all adds to 1

Step-by-step explanation:

1/4+2/5 if you add the missing remainder it totals 1

Answer:

134=2x

X= 67

hope it helps

Answer:

30% of the people surveyed in the mall go to movies at least once in a month

Step-by-step explanation:

A descriptive statistic would refer to a summary where it explain in quantitative way from the information collected also it it is used to analyze it. The parameter and descriptive statistics would be the percentage for the surveyed people that goes to the mall for watching out the movies at least for one time in a month

Here 30% come from

= 36 ÷ 120

= 30%

Answer:500

Step-by-step explanation:

There are 100 production runs from each plant should be ordered to minimize the cost.

What is Production?

The process of making or manufacturing goods and products from raw materials or components is called Production.

The Macon plant produce 1 ton of LP and 3 tons of HP in single operation, and it charge $600 for what is produced in one operation.

And, One operation of Jonestown plant produce 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation.

And, A customer needs at least 100 tons of LP and 180 tons of HP,

Now, A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon and Jonestown) as,

= (0, 180), (40, 60), (100, 0).

Hence, By checking costs of these solutions, we find the lowest cost to be obtained when 100 production runs should be ordered from Macon.

So, There are 100 production runs from each plant should be ordered to minimize the cost.

Learn more about the production visit:

https://brainly.com/question/26460726

#SPJ2

Answer:

x=122

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

20 ÷ 5 × 2 = 8

_________________

( 20 ÷ 5 = 4 × 2 = 8 )

full equation ^^

Answer:

Beause In the first equation 3 is being multiplied by .1 and the second equation is being multiplied by 10

Step-by-step explanation:

1/10 In decimal for is .1 and .1 times 3 is .3

3 times 10 is 30 so therefore 3 x 1/10 less then 3x 10