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2 years ago

It requires 15 gallons of mulch to cover 5 flowerbeds.How many gallons are needed to cover 7 flowerbeds?

Mathematics

2 answers:

vitfil [10]2 years ago

6 0

Answer:

35 gallons of mulch will cover 7 flowerbeds

Step-by-step explanation:

If it takes 15 gallons of mulch to cover 5 flowerbeds then we can represent the number of gallons per flowerbed.

The number of gallons per flowerbed = 15 gallons of mulch /5 flowerbeds

= 3 gallons of mulch/ flowerbeds

So it takes 3 gallons of mulch to cover 1 flowerbed.

Therefore for 7 flowerbeds we can determine the amount of gallons of mulch needed by using conversion factors:

= (3 gallons of mulch/ flower bed)×7 flowerbeds

= 21 gallons of mulch

Therefore 21 gallons of mulch will cover 7 flowerbeds

kolbaska11 [484]2 years ago

4 0

You need to work out how much you need for 1 flowerbed,
So, 15÷5= 3. 3 gallons =1 flowerbed
Then, 3 X 7 = 21 Gallons.

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Write -0.37 as a quotient of integers to show that is rational.

Gnoma [55]

Answer:

Step-by-step explanation:

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2 years ago

What is the pattern in the values as the exponents increase?

nirvana33 [79]

Answer:

"Multiply the previous value by 2"

Step-by-step explanation:

Let's check the first 2 terms for all the answer choices.

1. Add $\frac{1}{16}$ to the previous value:

$\frac{1}{32}+\frac{1}{16}=\frac{3}{32}$

Doesn't match.

2. Subtract $\frac{1}{16}$ from the previous value:

$\frac{1}{32}-\frac{1}{16}=-\frac{1}{32}$

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3. Divide the previous value by 2:

$\frac{\frac{1}{32}}{2}\\=\frac{1}{32}*\frac{1}{2}=\frac{1}{64}$

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4. Multiply the previous value by 2:

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DOES WORK!

Also, doing the same thing with all the other values would give us matching answer. So this choice is right.

7 0

2 years ago

Read 2 more answers

(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

5 0

3 years ago

Twice a number is 60 more than five times the number. what is the number?

Delvig [45]

Let the number be represented by x
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Therefore the number is -20

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3 years ago

Kela wants to visit a friend who lives 8 kilometres away. She'll ride the Subway as she can before walking the rest of the way.

Alenkinab [10]

Answer:

Kela will be able to travel for 7 stops before her money runs out.

Step-by-step explanation:

Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:

(15 - 5.5) / 1.25 = X

9.5 / 1.25 = X

7.6 = X

Therefore, Kela will be able to travel for 7 stops before her money runs out.

4 0

3 years ago