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Annette [7]
3 years ago
12

Jason can water all the plants at the botanical garden in 4 times faster than Celia. One day they were both watering the plans a

nd it took them 10 hours to water all the plants in the botanical garden. How long does Jason take to water the plants on his own?​
Mathematics
1 answer:
goblinko [34]3 years ago
4 0

Answer:

21

Step-by-step explanation:

You might be interested in
18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

__

1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

__

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

__

<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
You are ordering pencils from Amazon for $3.50 each. Shipping costs an additional $2.99. This situation can be represented with
DENIUS [597]

Answer:

Y=total cost of purchasing the pencils

Step-by-step explanation:

Y=3.5x+2.99

Where,

Y=total cost of purchasing the pencils

3.5=price of each pencil

X= number of pencils bought

2.99= shipping cost

For instance, if you order for 5 pencils on Amazon, the total cost of purchasing it is

Y=$3.50(5)+$2.99

Y=$17.50+$2.99

Y=$20.49

3 0
3 years ago
The width of a rectangle is 38 centimeters. the perimeter is at least 692 centimeters. write an inequality that represents all p
abruzzese [7]

Width of the reactangle = 38 cm

Minimum perimeter = 692 cm

Let the length of the rectangle be x cm

We know that,

Perimeter of rectangle = 2 * (length + width)

Since the perimeter should be atleast 692 cm. Therefore,

2 * (x + 38) > 692

2x + 76 > 692

2x > 692 - 76

2x > 616

x > \frac{616}{2}

x > 308

Hence, the length of the rectangle should be more that 308 cms.

4 0
3 years ago
What's the answer please help! :)
sammy [17]

Answer:

Answer J or 900!!

Step-by-step explanation:

Brainliest Please!

5 0
3 years ago
Which of the following equations represents a linear function?
andreyandreev [35.5K]

Answer:

B

Step-by-step explanation:

I chose the answer B because there is no there should be no exponents to make the answer linear

4 0
3 years ago
Read 2 more answers
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