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sasho [114]
3 years ago
11

A rectangle has a perimeter of (12x+8y). If one side of the rectangle is (4x-2y), write an expression of the other side.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:4x+12y

Step-by-step explanation:

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Find the missing length. If needed route to the nearest 10th. The length of X is? PLEASE ANSWER AND EXPLAIN PLEASEEE
yaroslaw [1]

Answer:x =8.3

Step-by-step explanation:

Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,

AB/DB = BG/BE = AG/DE

AB = 11

BG = 10 + x

Therefore,

11/6 = (x + 10)/10

Cross multiplying, it becomes

6(x + 10) = 11 × 10

6x + 60 = 110

Subtracting 60 from left hand side and the right hand side of the equation, it becomes

6x + 60 - 60 = 110 - 60

6x = 50

Dividing the left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 50/6

x = 8.3 rounded up to the nearest tenth

5 0
3 years ago
Margo brought 7 pens from a book store some pens cost $3.00 EACH and the rest cost $4.00 . If she paid a total of 23.00 for the
Montano1993 [528]

Answer:

5

Step-by-step explanation:

Margo bought 7 pens for $23.

Some pens are $3 and some $4.

We need to find how many $3 pens she bought.

Let the number of $3 pens be represented by p and let the number of $3 pens be represented by r. So:

p = $3  and r = $4

Now we know 7 pens were purchased so is we add the number of $3 pens purchased to the number of $4 pens purchased, we will get 7.

p + r = 7

We know that the total cost of the pens is $23 so that equation would be found by takign the $3 pen multiplied by the number of $3 pens purchsed added to the $4 pen multiplied by the number of $4 pens purchsed, which equals $23.

$3p + $4r = $23

Now we have 2 equations and 2 unknowns.

p + r = 7

$3p + $4r = $23

Let's solve for r in the first equation.

p + r = 7     Subtract p from both sides.

p - p + r = 7 - p   The p on the left cancels.

r = 7 - p

Now that we know r, we can substitute it into the second equation and solve for p.

$3p + $4r = $23

3p + 4( 7 - p) = 23       Multiply it out.

3p + 4*7 - 4*p = $23

3p + 28 - 4p = 23      Combine like terms.

3p  - 4p + 28 = 23

- 1p + 28 = 23       Subtract 28 from both sides.

- p + 28 - 28 = 23 - 28  

- p = - 5   Divide each side by -1

- p/- 1 = - 5/ - 1       The negative cancels on each side.

p = 5

We can see Margo bought 5 $3 pens.

For fun, let's solve for how many $4 pens she bought. We know p, so we plug it in the first equation and solve for r.

p + r = 7

5 + r = 7  Subtract 5 from each side

5 - 5 + r = 7 - 5

r = 7 - 5

r = 2

So Margo bought 5 $3 pens and 2 $4 pens!

8 0
3 years ago
Hepppppppplppppppplppppppppp
antoniya [11.8K]

Answer:

A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2

Step-by-step explanation:

<u>Step 1:  Determine the sides</u>

A → 3 ft

B → 7 ft

C → 4 ft

D → 5 ft

<u>Step 2:  Determine the surface area</u>

Area of the sides

A= 4\ ft * 7\ ft = 28\ ft^2

A= 5\ ft * 7\ ft = 35\ ft^2

A= 3\ ft * 7\ ft = 21\ ft^2

Area of the top and bottom triangles

A= \frac{h\ *\ b}{2} = \frac{3\ ft\ *\ 4\ ft}{2} = \frac{12\ ft^2}{2} = 6\ ft^2 = 2(6\ ft^2) = 12\ ft^2

Total Area

28\ ft^2 + 35\ ft^2 + 21\ ft^2 + 12\ ft^2

96\ ft^2

Answer:  A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2

5 0
2 years ago
Read 2 more answers
A container is shaped like a rectangular prism and has a volume of 72 cubic feet. Give four different set of measurements that c
dimaraw [331]

Answer:

The formula for the volume of a prism is V = Bh

where,

B is the base area

h is the height.

Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h

Assumptions:

Length, L and Width, B cannot be the same.

1.

h = 4 ft

B = 2 ft

L = 9 ft

2.

h = 4 ft

B = 3 ft

L = 6 ft

3.

h = 6 ft

B = 2 ft

L = 6 ft

4.

h = 2 ft

B = 2 ft

L = 18 ft

Step-by-step explanation:

6 0
2 years ago
Anoter easy question
yaroslaw [1]
It will take 1 minute because if the 100 cats eat 100 fish and they all get the same amount then the rate should 1 fish per cat per minute.....
7 0
3 years ago
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