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ratelena [41]
2 years ago
6

A freshly-planted sapling is braced by 3 cables attached to a collar secured to the sapling 8 feet up the trunk. each cable is s

taked into the ground 3 feet from the sapling's trunk. if fastening a cable to the collar uses 8 inches of cable and fastening it to its stake also uses 8 inches of cable, about how much cable has been used
Mathematics
1 answer:
blagie [28]2 years ago
3 0
The slant length of each cable can be calculated using Pythagoras Theorem,
L= √ (8^2+3^2)
= √ (64+9)
= √ (73)
Total length of each cable
T = L + 8/12 + 8/12
= √ (73) + 4/3 
Total length of cables required
= 3T 
= 3 ( √ 73 + 4/3)
=( 3 √ 73 + 4 ) feet
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Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b

Step-by-step explanation:

4 0
2 years ago
Shanelle already has $137 from babysitting. She needs at least $625 for a new tablet. Which inequality best represents this scen
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Answer:

t + 137 ≥ 625

Step-by-step explanation:

Shanelle already have in her possession the sum of $137 from babysitting.  She requires at least $625 for a new tablet. t is the remaining amount she needs to get the new tablet.

She already has $137 and to get the tablet she needs at least $625 . This means she needs nothing less than or equal to $625 to get the tablet.  Recall t is the remaining amount needed to add to what she has to be able to reach the least amount required to purchase a tablet. Therefore , the sum of t and the amount of money already in her possession should be equal to or greater than $625.

To get the new tablet,

t + 137 ≥ 625

5 0
2 years ago
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing
andreyandreev [35.5K]

Answer:

A bag of pop corn costs $8, and each Pretzel costs $4.25.

Step-by-step explanation:

Let b be the price of popcorn, and p the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation

2b+5p=37.25  <em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .

And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation

8b+9p=102.25<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>

Thus, we have two equations

1. 2b+5p=37.25

2. 8b+9p=102.25

and we solve them by first multiplying equation (1) by 4:

4(2b+5p=37.25 )\rightarrow (8b+20p=149),

and then subtracting it from equation (2):

\:\:\:\:\: 8b+9p=102.25\\-(8b+20p=149)\\\line(1,0){3 cm}\\-11p=-46.75\\\\\boxed{p=\$4.25}

Now we put this value of p into equation (1) and get:

2b+5(4.25)=37.25

and we solve for b to get:

2b=37.25-21.5

\boxed{ b=8}

Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.

8 0
2 years ago
Hayden, from the blog "Hanging with Hayden," directly sent an email to her reader's age 18 to 21 and asked the survey question,
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Answer:

e.) The survey is meaningless because of nonresponse bias.

Step-by-step explanation:

3 0
2 years ago
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Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

7 0
2 years ago
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