1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Whitepunk [10]
3 years ago
5

When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the d

iagram below, she used x to represent the length, in feet, of the gate.
.
What is the value of x, if the equation 2(x + 60) + 2(30) = 200 represents the Perimeter for the fencing of the backyard?

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

Step-by-step explanation:

From the picture attached, equation of the perimeter of the fence of the backyard should be,

(x + 60) + (60) + 2(30) = 200

x + 2(60) + 2(30) = 200

x + 120 + 60 = 200

x + 180 = 200

x = 200 - 180

x = 20 ft

If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft

You might be interested in
During a baseball game, a food stand sells popcorn for $2.50 and hotdogs for $3 each. If at the end of the game, the stand made
nasty-shy [4]
Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs

we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2

substitute 2 in 1

2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
y=25
x=2y-----> x=2*25-----> x=50

the answer is
50 bags of popcorn
25 bags of hotdogs<span />
5 0
4 years ago
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b
Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0
3 years ago
Plz tell me how to do question 18
bagirrra123 [75]

Answer:

750kmph

Step-by-step explanation:

Average is sum of all parts divided by the number of parts.

Let Stot be average speed for total trip (800kmph).

Let S1 be speed for first quarter of trip (950kmph).

Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.

Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).

Stot = (S1 + S2 + S3 + S4) / 4

800kmph = (950kmph + S2 + S3 + S4) / 4

3200kmph = 950kmph + S2 + S3 + S4

3200kmph - 950kmph = 2250kmph = S2 + S3 + S4

Divide both sides by 3.

2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans

Sans = 750kmph

8 0
3 years ago
If you're ladder is 10 feet long and you place the bottom 6 feet from the wall how far can you reach
-Dominant- [34]
This is like a triangle.
One side, the hypotenuse, is the length of the ladder, 10 feet in this case.
Another side, one of legs, is the distance from the bottom of the ladder to the side of the wall, 6 feet.
The last side is what we need to find, how high up the ladder reaches.

Using the p<span>ythagorean theorem, we can find this third side.
This is written as a^2 + b^2 = c^2.
A and B are the legs, while C is the hypotenuse.

Plugging in known values, we get:
6^2 + b^2 = 10^2

Solve as much as possible:
6^2 = 36
10^2 = 100
36 + b^2 = 100

Now you must isolate b.
Subtract 36 from both sides.
100 - 36 = 64
b^2 = 64

The last step in finding b is doing the inverse of squaring, which is square rooting.
√64 = 8
So b equals 8.

This means that <span>the ladder can reach 8 feet up the wall.</span></span>
6 0
3 years ago
A high school baseball player has a 0.215 batting average. In one game, he gets 7 at bats. What is the probability he will get a
masya89 [10]

Answer:

0.651%

Step-by-step explanation:

using Binomial expansion: nCr*p^n*(1-p)^(n-r)

probability he will get at least 5 hits in the game = probability he will get  5 hits in the game + probability he will get 6 hits in the game + probability he will get  7 hits in the game = 7C5*0.215^5*(1-0.215)^2 + 7C6*0.215^6*(1-0.215)^1 +7C7*0.215^7*(1-0.215)^0 = 21* 0.0004594*0.616225  +  7*0.00009877*0.785  +  1*0.000021235  = 0.00651 = 0.651%

7 0
3 years ago
Other questions:
  • Twice a number decreased by seven
    10·1 answer
  • Please help asap! (:
    8·2 answers
  • To find out approximately how many hours its residents are spending playing cards at a senior retirement home, the recreation di
    5·1 answer
  • PLEASE HELP !!!
    9·1 answer
  • (Simplify the answer if possible)<br><br> 5/7-2/5=
    12·2 answers
  • A bag of peanuts weights 8 1/3 pounds. One serving
    13·1 answer
  • Please help me with this homework
    12·2 answers
  • PLEASE ANSWER <br><br> Which characteristic is shared by both prokaryotes and eukaryotes?
    9·2 answers
  • 36 x - 8y2 when x=3 and y= 6
    5·2 answers
  • Can somebody help me with the question i asked before this.....please
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!