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Illusion [34]
3 years ago
11

Solving equations and distributive property

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

x=20

Step-by-step explanation:

2(x+10)=60

distribute 2 by multiplying numbers in parenthesis

2x+20=60

subtract 20 from both sides

2x=40

divide both sides by 2

----------

x=20

----------

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3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
4 years ago
Order the following numbers from least to greatest.<br> 4.23<br> 9<br> 2<br> V17
Marrrta [24]

Answer:

√17, 4.23, 9/2

have a nice day!

6 0
3 years ago
A frightened child is restrained by her mother as the child slides down a frictionless playground slide. If the force on the chi
MissTica

Answer:

Step-by-step explanation:

Given

Restrained Force F=116 N

Increase in Kinetic Energy \Delta K.E.=30 J

Distance moved d=1.9 m

Work done by all the forces is equal to change in Kinetic Energy of Object i.e. by gravity force, Normal force and Applied Force

\Delta K.E.=W_g+W_f+W_N

30=W_g-F\cdot d

30=W_g-116\cdot 1.9

W_g=250.4 J

(b)In absence of applied force thus

work done by gravity will be equal to  change in kinetic Energy

change in Kinetic Energy=210 J

6 0
3 years ago
Tickets for the school concert were 3$ and 2$. If 245 tickets were sold for a total of $630, how much of each kind were sold?
Hatshy [7]
2x + 3y = 630
x + y = 245 then you want to get rid of x so in the second equation × by -2 and get -2x -2y =-490 subtract this equation from the first to get y=$140 substitute 140 in for y and get x= $105 and 2x=210 and 3y=420 210 +420=630
7 0
3 years ago
On Monday, 218 students went on a trip to the zoo. All 5 buses were filled and 8 students
galina1969 [7]

Answer:

Their were 42 kids on each bus.

Step-by-step explanation:

You have to divide the number of kids(210) by the number of buses.

7 0
3 years ago
Read 2 more answers
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