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Zigmanuir [339]
4 years ago
9

Manny has 48 feet of wood.He wants to use all of it to create a border around a garden.The equation 2l+2w=48 can be used to find

the length and width of the garden, where l is the length and w is the width of the garden.If Manny makes the garden 15 feet long, how wide should the garden be?
Mathematics
1 answer:
schepotkina [342]4 years ago
4 0

Answer:

If Manny makes the garden 15 feet long, then the width of the garden would be 9 feet wide.

Step-by-step explanation:

We are given an equation: <em>2l + 2w = 48</em>. We can use this equation and the information given to us to find how wide Manny's garden should be if he makes the garden 15 feet long. We can plug in 15 for <em>l.</em>

2(15) + 2w = 48

Multiply 15 by 2.

30 + 2w = 48

Subtract 30 from 48.

2w = 18

Now, divide 2 from 18.

w = 9

So, the width of Manny's garden should be 9 feet wide.

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The exchange rate in some prehistoric village was 6 jagged rocks for every 2 smooth pebbles. Also, one shiny rock could be trade
Scrat [10]

30 Jagged rocks are the same 3 shiny rocks using the exchange rates provided(i.e. option D)

What is an exchange rate?

Exchange rate means the rate at which one item exchanges hands with another, for instance, in this case, 6 jagged rocks are equivalent to 2 smooth pebbles.

6 jagged rocks=2 smooth pebbles

divide both sides by 2

6/2 jagged rocks=2/2 smooth pebbles

3 jagged rocks=1 smooth pebble

We can rewrite as below:

1 jagged rock=1/3 smooth pebble

30jagged rocks=1/3*30 smooth pebbles

30 jagged rocks=10 smooth pebbles

Now we need to convert 10 smooth pebbles to shiny rock equivalence

3 smooth pebbles=1 shiny rock

1 smooth pebble=1/3 shiny rock

10 smooth pebbles=1/3*10 shiny rocks

10 smooth pebbles=3 shiny rocks( even though it is 3.33, but the final answer should be rounded to a whole number)

Read more about exchange rate in the link below:

brainly.com/question/2202418

#SPJ1

4 0
2 years ago
the population of a town in 1995 was 60,000. the population increased by 25% in 2007.find the population in 2007.​
mixer [17]

Answer:

80,000

Step-by-step explanation:

1/4(25%)×60,000=20,000

20,000+60,000=80,000

4 0
2 years ago
A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer​
Sauron [17]

Answer:

<FEA is 70 degrees. It is already given.

3 0
2 years ago
Choose the function whose graph is given by
Taya2010 [7]

Answer:

The correct option is D.

Step-by-step explanation:

The given graph is the graph of a cosine function, which shifts 1 unit left.

The cosine function is defined as

y=a\cos(bx+c)+d

Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.

If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.

Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is

y=\cos(x+1)

Option D is correct.

7 0
3 years ago
Read 2 more answers
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