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Drupady [299]
3 years ago
15

The length of a rectangular mailing label is

Mathematics
1 answer:
galben [10]3 years ago
5 0

Let w be the width

Then the length is 2w - 2

We also know that the perimeter is 62 cm. The perimeter is the distance around the rectangle, or 2w + 2(2w - 2).

So, 2w + 2(2w - 2) = 62

2w + 4w - 4 = 62

6w = 66

w = 11

So, the length is 2w - 2 = 2(11) - 2 = 22 - 2 = 20

Length = 20 cm

Width = 11 cm


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If 2 1/4 pounds of bananas cost $1.89, what is the cost per pound?
Svetach [21]

Answer:

The cost per pound of bananas is $0.84.

Step-by-step explanation:

The question asks to use the given information to set up a proportion and solve for the missing variable.  In this case, we know that the cost of 2 1/4 (or 2.25) bananas is $1.89.  Since they are asking for cost per pound, we can set up a ratio (fraction):

\frac{1.89}{2.25}=\frac{cost}{pounds}

Since the cost of bananas is the same regardless of the number of pounds, we can set up a proportion to find the cost for just one (1) pound:

\frac{1.89}{2.25}=\frac{x}{1}  Where 'x' is the cost.

Using cross-multiplication and division we get:  2.25x = 1.89.  Next, we use inverse operations to divide both sides by 2.25:  2.25x/2.25 = 1.89/2.25.  Solve:  x = 0.84 or $0.84 per pound.  

6 0
4 years ago
What is the area of triangle RST?
Paraphin [41]

<u>Answer-</u>

\boxed{\boxed{\text{Area}_{RTS}=9\ unit^2}}

<u>Solution-</u>

We know that,

\text{Area}=\dfrac{1}{2}\times\text{Base}\times \text{Height}

From the diagram,

RS is the base and UT is the height of the triangle.

Applying distance formula,

RS=\sqrt{(3+3)^2+(2-2)^2}=\sqrt{(6)^2}=6

UT=\sqrt{(-1+1)^2+(2+1)^2}=\sqrt{(3)^2}=3

Putting the values,

\text{Area}_{RTS}=\dfrac{1}{2}\times6\times3=9\ unit^2


7 0
4 years ago
Read 2 more answers
Tim’s goal is to run one marathon in each of the 50 states. To determine the order in which he will run the marathons, he will w
elena-s [515]

This is a conditional probability issue, so the original probability of 26/50 no longer prevails. There have been changes in both the numerator and the denominator.  

The third marathon will be chosen from 48 states, 25 east of the Mississippi and 23 west of the Mississippi. The probability will be 25/48.

so your answer is D) 25/48

8 0
3 years ago
Read 2 more answers
Yesterday, Tammy went on a bike ride. Her average speed was 8 miles per hour. Today, she went on another ride, this time averagi
Stels [109]

Answer:

y=120-4x

Step-by-step explanation:

Here we are given the average speed for Day 1 and Day 2 and the time of ride . We asked to Find an expression to determine the total distance travelled in two days.

Day 1 :

Avg Speed = 8 mph

Let the time for travelling = x hrs

Hence Distace Travelled D1= Speed x Time

D1=8x

Day 2 :

Avg Speed = 12 mph

Total time of travelling for two days is given as 10 hours . Hence the time of travelling for day 2 is

= (10-x) hrs

Hence Distance travelled in Day 2 D2 = speed x time

D2 = 12(10-x)

D2=120-12x

Total Distance travelled = D1 + D2

= 8x+120-12x

=120-4x

If the total distance travelled is denoted by y

The expression will be

y=120-4x

5 0
4 years ago
bricks having volume 500cm^3 each are selected to construct a compound wall of 200m×0.5m×1.5.If theprice of the brick is Rs.14,f
maria [59]

Answer:

Rs. 4,200,000

Step-by-step explanation:

Given :

Volume of brick = 500cm³

Dimension of wall : 200m×0.5m×1.5m

Converting to cm

Volume of compound wall:

(200 * 100) * (0.5 * 100) * (1.5 * 100)

20000cm * 50cm * 150cm=

= 150000000cm³

Volume of compound wall / volume of brick

1500000000 cm³ / 500 cm³

= 300000

Price per brick = Rs. 14

Total price = 14 * 300000 = Rs. 4,200,000

4 0
3 years ago
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