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KIM [24]
3 years ago
9

Part 1:"The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet

tall and 4 feet wide. They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot.
Do they have enough money to cover the cost of making the window?" (PART 1 IS DONE)


Part 2:"A local community member sees the school’s stained glass window and really likes the design. They ask the students to create a larger copy of the window using a scale factor of 3 (9 feet tall and 12 feet wide). Would $450 be enough to buy the materials for the larger window?"

Part 3:"Make your own stained glass window design that could be made for less than $450. Show your thinking."
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0

Answer:

p2

Step-by-step explanation:

Nostrana [21]3 years ago
5 0

Answer:

PART 2:

Total cost is 1198.8

Colored glass=

540/ 108

clear glass=

216/108

materials=

10.8/108

Frame=

432/108

PART 3

The window would be 4.5 ft tall and 6 ft wide

Colored glass =

135/27

clear glass =

54/27

frame =

108/27

materials=

2.7/27

ADD

135+108+54+2.7= 299.7

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Farmer Joe has his horses in a rectangular pen. The length of the pen is 10 feet longer than three times its width. The total fe
Evgen [1.6K]

Answer:

The width of the garden is 100 feet.

Step-by-step explanation:

The formula for the perimeter of a rectangle is 2(L+W) where L = length and W = width.

Since we know the perimeter (the fence that surrounds the garden) is 820 feet and the length of the pen is 10 feet longer than 3 times its width, we can set an equation and solve for the width:

L = 10 + 3W

So substitute 10 + 3W for L in the equation:

2[(10 + 3W) + W) = 820

2(10 + 4W) = 820

10 + 4W = 410

4W = 400

W = 100

Therefore, the width of the garden is 100 feet.

6 0
3 years ago
Three more than six times a number is 33
Whitepunk [10]

Answer:

the number is 5

Step-by-step explanation:

6n + 3 = 33

6n = 30

n = 5

6 0
2 years ago
Find the mixed number equivalent to the im<br> proper fraction 22/6
Naddik [55]

Answer:

3\frac{2}{3}

Step-by-step explanation:

Given the following question:

\frac{22}{6}

In order to convert a mixed number into an improper fraction we have to divide the numerator (in this case; 22) by the denominator (in this case; 6) to find your answer.

\frac{22}{6}
\frac{22}{6} \div2=\frac{11}{3}
\frac{11}{3}=11\div3=3\frac{2}{3}
=3\frac{2}{3}

Let three represent how many times 3 goes into 11, let 2 represent the remainder while of course keeping the denominator the same. Your answer is "3 2/3."

Hope this helps.

6 0
2 years ago
Please help me with 2 Questions! PLEASEeeee!!!!!!!! Pretty please!
Ostrovityanka [42]
Just try photomatb it works really well for math problems literally any math problem

6 0
2 years ago
1
pantera1 [17]

Answer:

The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.

For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.

For p=5/36, that's

(536)25+636=2511⋅36,

and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is

836+236(2511+1610+99)=244495=12−7990≈12−0.007.

Step-by-step explanation:

Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:

p(4)=336+2736p(4),so thatp(4)=13.

Repeat this reasoning for the other outcomes and then compute the total probability of winning as:

ptot=836+336p(4)+436p(5)+…

7 0
2 years ago
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