there are 42 boys and 12 girls who signed up yo participate in the scavenger hun how many different teams can michelle organize

when camping alone , mr adam uses all of the water in 12 days, then when mrs adams and mr adams camp together they use all of th

professor190 [17]

Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.

<h3>What is the together rate?</h3>

The together rate is the sum of each separate rate.

In this problem, the rates are:

Together: 1/8.

Mr Adam: 1/12.

Mrs Adams: 1/x.

Hence:

$\frac{1}{12} + \frac{1}{x} = \frac{1}{8}$

$\frac{x + 12}{12x} = \frac{1}{8}$

$12x = 8x + 96$

$4x = 96$

$x = \frac{96}{4}$

$x = 24$

If Mrs Adams camps alone, she will use all the water in 24 hours.

More can be learned about the together rate at brainly.com/question/25159431

6 0

3 years ago

Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 feet.

melamori03 [73]

Answer:

Part a) 3 inches

Part b) Yes, her scale model drawing will fit on the piece of paper 8.5 by 7 inches

Step-by-step explanation:

we know that

The scale drawing is

$1\ inch:2\ feet$

That means

1 inch in the model represent 2 feet in the actual

Part a) What is the length of the garden in her model?

we know that

The length of the garden is 6 feet in the actual

so

Find out the length of the garden in her model, using proportion

$\frac{1}{2}\ \frac{in}{ft}=\frac{x}{6}\ \frac{in}{ft}\\\\x=6/2\\\\x=3\ in$

Part b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?

we know that

The model width is described as 5 inches. Both the 3-inch length and the 5-inch width are less than the 8.5 inch and 7 inch dimensions of the paper Kelly is using.

therefore

She can easily draw her model on that size paper.

7 0

4 years ago

Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a

11Alexandr11 [23.1K]

Answer:

(370-2x)ml

Step-by-step explanation:

We are given that

In first hand sanitizer

Total solution=200ml

Alcohol=15% of 200ml

Alcohol= $\frac{15}{100}\times 200=30ml$

In second hand sanitizer

Solution=200 ml

Alcohol=x% of 200 ml

Alcohol= $\frac{x}{100}\times 200=2x ml$

We have to find the water in the resulting mixture of hand sanitizers.

Total solution of two hand sanitizers=200+200=400ml

Total alcohol in two hand sanitizers=(30+2x)ml

Water in two hand sanitizers=400-(30+2x) ml

Water in two hand sanitizers=400-30-2x ml

Water in two hand sanitizers=(370-2x)ml

Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml

7 0

3 years ago

Difference between translatory and rectilinear motion.

Trava [24]

The difference is in way we observe some object that is moving. In translatory motion each point of the object has to go in straight line. A ball for example when kicked is rolling which means that not all of its oints are going in straight line. Some of points on ball are rotating. On the other hand in rectilinear motion it is only important that object is moving on straight line and it doesnt matter if it is rotating. So kicked ball that moves on ground is example of that.

Example of translatory motion can be our body in a bus that is going in straight line but not that wheels are rotating so they are moving rectilinear.

8 0

3 years ago

Earth has a mass of 5.9736×10 to the 24power what is that in standard form

malfutka [58]

<span>5.9736 ×10 to the 24power =
</span>
5,973,600,000,000,000,000,000,000
Incidentally, that is kilograms.

<span />

6 0

3 years ago