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White raven [17]
3 years ago
8

Francesca's window store made a mosaic for the community center. The mosaic had a 6 × 6 array of different color square tiles. I

f each tile is 2 1 4 ft long, what is the area of the whole mosaic?
Mathematics
1 answer:
patriot [66]3 years ago
8 0

The correct value of the length of a side = 2¼ ft

Answer:

area of the whole mosaic = 182.25 ft²

Step-by-step explanation:

We are told it has a 6 x 6 array of different colour square tiles.

Which means it has 6 x 6 = 36 square tiles.

Area of square = L²

Where L is length of side

Now, since length of one tile is 2¼ ft long.

Thus, area of one square tile = (2¼)²

= 81/16 ft²

Since there are 36 tiles,

Thus ;

Total area ; 81/16 x 36 = 182.25 ft²

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Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv
mojhsa [17]

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ x+1.5\leq 5

where x represents he number of hours of television that Julia can still watch this week

On solving for x, we get

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = x

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ x+1.5

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ x+1.5\leq 5

Solving for x

Subtracting both sides by 1.5

x+1.5-1.5\leq 5-1.5

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

6 0
3 years ago
Colin is skateboarding and is riding a rail. The rail is attached to two poles. The first pole is 80 cm tall and the
Vinvika [58]

Answer:

\sqrt{4.49m}

Step-by-step explanation:

the unit of length is meter,

so, 80cm=0.8cm, 10cm=0.1m

the length of the rail=\sqrt{(0.8-0.1)^2+2^2}

                                  =\sqrt{4.49m}

5 0
2 years ago
Community Gym charges a $50 membership fee and a $70 monthly fee. Workout Gym charges a $190
zepelin [54]

Answer:

14 month

Step-by-step explanation:

Lets create equations for these two gyms. I believe this is an algebra 1 problem.

Community Gym: y=70x+50

Workout Gym: y=60x+190

Because both gyms are equal to y, we can set them together and solve for x.

70x+50=60x+190

10x=140

x=14

You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months

Therefore, after 14 months you will have paid the same amount for both gyms.

7 0
3 years ago
HELP GEOMTRY TEST !!!
Inessa05 [86]

Answer:

B

Step-by-step explanation

I think

5 0
3 years ago
your class is making a rectangular poster for a rally. the posters design is 6 in. high by 10 in. wide. the space allowed for th
Kay [80]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.

 PLEASE SEE ATTACHED IMAGE.

 For this case the area is given by:

 A = (22 + x) * (28 + x) = 722

 Rewriting we have:

 616 + 22x + 28x + x ^ 2 = 722

 x ^ 2 + 50x + 616 - 722 = 0

 x ^ 2 + 50x - 106 = 0

 Solving the polynomial we have:

 x1 = 2.04

 x2 = -52.04

 We take the positive root:

 x = 2.04 inches:

 Answer:

 The width of the border to the nearest inch is:

 x = 2inches

3 0
3 years ago
Read 2 more answers
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