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Nadusha1986
1 month ago
6

Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the sh

elter building as shown. They plan to spend between​ $100 and​ $200 on fencing for the sides at a cost of​ $2.50 per ft. Write and solve a compound inequality to model the possible length of the dog run.

Mathematics
1 answer:
lawyer [12.5K]1 month ago
7 0

Answer:

The detailed work and solution can be found in the attachment

Step-by-step explanation:

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A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning , the candlestick is 13.4 inches tall. W
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The initial height of the candle is 14.8 inches.
8 0
1 month ago
555 grams of wool were needed to knit a sweater, a hat, and a scarf. The hat required 5 times less wool than the sweater and 5 g
Zina [12379]

Answer:

The amount of wool required for a sweater was 400 grams.

A hat needed 80 grams of wool.

A scarf required 75 grams of wool.

Step-by-step explanation:

Let

x ------> grams of wool necessary for a sweater

y -----> grams of wool necessary for a hat

z -----> grams of wool necessary for a scarf

From the information given

x+y+z=555 -----> equation A

y=x/5 ----> x=5y -----> equation B

y=z+5 ---> z=y-5 ----> equation C

By substituting equations B and C into equation A, we can solve for y:

(5y)+y+(y-5)=555

7y=560

y=80 grams

Now, find x

x=5(80)=400 grams

Next, determine z

z=80-5=75 grams

In conclusion,

400 grams of wool was required for the sweater,

the hat needed 80 grams of wool, and

the scarf required 75 grams of wool.

4 0
1 month ago
An average person in the country needs 2,450 kilocalories / day of food to meet their full nutritional needs. The average number
tester [12383]

Answer:

Area of land = 0.056 hectares

Detailed explanation: Knowing that

A typical person in the country requires 2,450 kilocalories each day. This means

An individual consumes 2450 kilocalories daily

The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.

Thus, in one day, for one individual, we have

15737000 = 2450/hec

Hectare = 2450/15737000

Hectare = 1.5568 × 10 -4

The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be

Calculated hectare × 365.25

Hectare = 1.5568 × 10 -4 × 365.25

Area of land = 0.056 hectares

7 0
1 month ago
If hair grows at a rate of approximately 0.44 mm per day, how many
lawyer [12517]

Answer:

91

Step-by-step explanation:

40/.44

8 0
1 month ago
Read 2 more answers
Len made 1 1/3 liters of punch. He added 2/5 liters of water to make the punch. How much water was used for each liter of punch?
babunello [11817]

Answer:

3/10 liter

Step-by-step explanation:

Assuming your statement indicates that in 4/3 liters of punch, there is 2/5 liters of water, then the proportion of water in the punch is calculated as:

(2/5)/(4/3) = (2/5)(3/4) = 3/10

So, 3/10 of a liter of water is included in each liter of punch.

5 0
1 month ago
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