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vodomira
1 day ago
7

Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? H

ow large an area could be covered with 315 lb of gravel?
Mathematics
1 answer:
babunello [8.4K]1 day ago
6 0

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

252\ lb= 36ft^2

To find the number of pounds needed for 1 square foot , perform the following calculation:

x = 1ft^2

Thus, we have:

x = 1ft^2

252\ lb= 36ft^2

Cross multiply

x \times 36 = 252 \times 1

And divide both sides by 36

x = 7lb

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

315lb = y

315lb = y

Cross multiply

252\ lb= 36ft^2

y \times 252 = 36 \times 315

And divide both sides by 252

y \times 252 = 11340

Thus, 7 lb will cover

1 square footy = 45, and 315 lb will encompass an area of

45 square feet.

Read more about ratios at:

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lawyer [9240]

Answer:

2.5 hours

Step-by-step explanation:

150 divided by 60

150 divided by 60 gives the time

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8 days ago
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Ella spent her whole allowance of $2.00, plus the 16¢ she had left over from last week, in bubble gum. If the pieces of gum had
Zina [9171]
Determining the answer here is quite straightforward. Ella has a total of $2.16, and we need to ascertain the cost per piece of gum.
It is known that if the gum cost one cent less, she would have acquired three more pieces.
 Currently, with 8 pieces priced at 27 cents each, a reduced price would allow her to have 8.64 pieces. This outcome, even after rounding, is incorrect as it does not yield 11.
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 At 16 pieces costing 13.5 cents each, at one cent less, she would acquire 17.28 pieces, which also confirms it's wrong because rounding does not yield 19.
 When purchasing 24 pieces at 9 cents each, with the cheaper price, she could buy 27 pieces, which is valid since 27-24 equals 3.
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3 0
1 day ago
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Triangle KLM was dilated according to the rule DO,0.75 (x,y). What is true about the image △K'L'M'? Check all that apply. DO, 0.
Zina [9171]

The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".

Explanation:

It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

(x,y)\rightarrow (0.75x,0.75y)

Consequently, the first statement holds true.

Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.

Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.

Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.

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6 days ago
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2.6 Puzzle time how can you make sure to start a fire with two sticks?
Svet_ta [9500]

Answer:

"Ensure that one of them is a match"

Step-by-step explanation:

Generating heat through friction requires some practice. By elevating the wood's temperature, it's feasible to reach the necessary ignition temperature.

Successful fire-starting depends on proper technique and equipment. Failures often arise from inadequate approach and gear, which can complicate the learning process.

When selecting wood, aim for the following criteria:

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Position the two pieces of wood at a 90-degree angle, resembling a cross. Support one stick vertically on the ground, while the other rubs against it quickly, using intervals.

Underneath, place dry tinder that catches fire swiftly after it's ignited.

For the Puzzle, remember the order of the words:

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26 days ago
Question 1(Multiple Choice Worth 2 points)
babunello [8412]
Here are 3 questions with their respective answers.

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\lim_{x \to \ 2^+} f(x)

Answer: 4.

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This expression indicates the limit as the function f(x) approaches 2 from the right side.

You should apply the function (the line) from the right side of 2 and get as close to x = 2 as you can.

That line has an open circle at y = 4, which is the limit we are looking for.

2) Analyze the graph to see if the limit exists.

Answer:

\lim_{x \to \ 2^-} f(x) = 3

\lim_{x \to \ 2^+} f(x)=-3

To find each limit, utilize the function approaching from the direction of x.

It's important to note that since the two limits differ, it is concluded that the limit of the function as x approaches 2 does not exist.

3)
Answer: -1


\lim_{x \to \ 3^-} f(x) = -1

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Hence, the limit is -1.
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