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2 years ago

6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?

1 answer:

Nutka1998 [239]2 years ago

6 0

This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.

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Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder she needs 6 pieces of

steposvetlana [31]

Answer:

15.5 feet

Step-by-step explanation:

Given:

Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder.

She needs 6 pieces of rope each 15 inches long for the steps.

Question asked:

How many feet of rope does patty need to make the ladder ?

Solution:

She needs for the sides of the ladder = Two 4 foot pieces of rope

= 2 $\times$ 4 feet = 8 feet

She needs for the steps of the ladder = 6 pieces of 15 inches long rope

= 6 $\times$ 15 inches = 90 inches

Convert 90 inches into feet:-

12 inches = 1 feet

1 inches = $\frac{1}{12} \ feet$

90 inches = $\frac{1}{12} \times90=\frac{90}{12} =7.5\ feet$

Patty needs total rope = 8 feet + 7.5 feet

= 15.5 feet

Thus, Patty needs 15.5 feet of rope to make the ladder.

6 0

2 years ago

The 11th grade class at Red Hook high school was surveyed about the types of music they liked. Of those surveyed, 64% said they

Zarrin [17]

22% liked neither.

Step-by-step explanation:

Given,

64% liked pop music.

52% liked rap music.

38% liked both type of music.

To find out the percentage of those liked neither.

Now,

Let, total number of student = 100

Number of students liked pop = 64

Number of students liked rap = 52

Number of students liked both = 38

So,

Number of students who liked only pop = 64-38 = 26

Number of students who liked only rap = 52-38 = 14

Hence,

Number of students who liked neither = 100 - (26+14+38) = 22

22% liked neither.

6 0

1 year ago

Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters renta

Korvikt [17]

Answer: Barbarino's rentals has a better deal.

She has to drive 887.5 miles to spend the same amount at either company.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Mr.kotters rentals (A) 

$99 PER WEEK
$0.11per mile over 100 miles

Barbarino's rentals (B) 

$75 per week
$0.15 per mile over 150 miles

For "A"

Cost = 0.11 (432-100) + 99 = $135.52

For "B"

Cost= 0.15 (432-150) +75 = $117.3

Barbarino's rentals has a better deal, since $117.3(B) < $135.52 (A)

To find how many miles would Glenna drive before she would be spending the same amount at either company:

A =B

0.11 (M-100) + 99 =0.15 (M-150) +75 = $117.3

Solving for M (miles)

0.11 M -11+99 = 0.15 M -22.5+75

-11 +99 +22.5 -75 =0.15M -0.11 M

35.5 = 0.04M

35.5/0.04 = M

887.5 =M

She has to drive 887.5 miles to spend the same amount at either company.

4 0

1 year ago

Which of the following is a counterexample for this conditional statement?

Gelneren [198K]

I think it is lizard

5 0

1 year ago

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Write an equation for the 4th degree polynomial graphed below. Use k if your leading coefficient is positive and −k if your lead

Afina-wow [57]

Ho ho ho, lets get this party started
ok so I'm just really excited to use this stuff that I just learned

so

multiplicites
if a root or zero has an even multilicity, the graph bounces on that root
if the root or zero has an odd multiplicty, the graph goes through that root

so
roots are
-1
2
4
multiplicty is how many times it repeats
2 has even multiplity
we just do 2 is odd and 1 is even so
for roots, r1 and r2, the facotrs would be
(x-r1)(x-r2)
so
(x-(-1))^1(x-2)^2(x-4)
(x+1)(x-2)^2(x-4)
this is a 4th degre equaton
normally, it is goig from top right to top left
it is upside down
theefor it has negative leading coefient

y=-k(x+1)(x-4)(x-2)^2

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1 year ago

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