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Vanyuwa [196]
3 years ago
5

if 2/5 of a ton of concrete covers 5/6 of a wall, how many tons of concrete are required to cover the entire wall?

Mathematics
2 answers:
Valentin [98]3 years ago
8 0
Your answer would be 12/25 tons. If you set up a proportion  2/5             X
                                                                                       --------   =   -------
                                                                                        5/6             1
Solve your proportion.    
stiv31 [10]3 years ago
8 0

Answer:

\frac{12}{25} tons.

Step-by-step explanation:

Let x represent the tons of concrete required to cover the entire wall.

We have been given that 2/5 of a ton of concrete covers 5/6 of a wall. We are asked to find the tons of concrete that are required to cover the entire wall.

We will use proportions to solve our given problem.

Since we need to cover an entire wall, so we can set an equation as:

\frac{\frac{2}{5}\text{ tons}}{\frac{5}{6}\text{ wall}}=\frac{x\text{ tons}}{1\text{ wall}}

Upon cross multiplying our equation we will get,

\frac{2}{5}\text{ tons}\cdot 1\text{ wall}=\frac{5}{6}\text{ wall}\cdot x\text{ tons}

\frac{2}{5}=\frac{5}{6}\cdot x

Multiplying both sides by 6/5 we will get,

\frac{6}{5}\cdot\frac{2}{5}=\frac{6}{5}\cdot\frac{5}{6}\cdot x

\frac{6\cdot 2}{5\cdot 5}= x

\frac{12}{25}= x

Therefore, \frac{12}{25} tons of concrete are required to cover the entire wall.

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A blacksmith blends one alloy of silver that is 35% silver and another that is 95% silver. To the nearest ton, how much of the a
hammer [34]

Answer:

Let x be the unknown quantity of 50% silver.

Look at the silver concentrations...   This will be 0.5x of actual silver,

Added to 5% silver in 500g or 0.05(500)g of actual silver

Totaling to (500+x)g of 20% silver which will have 0.2(500+x)g of silver

 

Your equation is:

 

0.5x + 0.05(500) = 0.2(500+x)

 

Solve for x to find the grams of 50% silver used

 

Step-by-step explanation:

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5 0
3 years ago
all unicorns on rainbow island are either green or yellow. every time the clock strikes midnight the unicorns change their color
Oksi-84 [34.3K]

77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).

You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.

e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?

To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.

In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.

6 0
3 years ago
An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represen
Marianna [84]
We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then 
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</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
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</span>b²=17²-8²-----> b²=225
the equation is
y²/a²+x²/b²=1------> y²/289+x²/225=1

the answer is
y²/289+x²/225=1

see the attached figure

7 0
3 years ago
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Scilla [17]

we know that

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substitute in the formula

m=\frac{2-2}{4+8}

m=\frac{0}{12}=0

Any line parallel to X-axis has slope equal to zero

so

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<u>the answer Part a) is </u>

0

<u>Part b) Find the slope of line MN</u>

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substitute in the formula

m=\frac{-8-6}{8-8}

m=\frac{-14}{0}

Anything divided by zero is undefined

m=undefined

therefore

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undefined

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we know that

Any line perpendicular to X-axis has slope undefined

Because the term (x2-x1) will always be zero

so

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3 years ago
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Answer:

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Median: 6.5

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Mode - the number that appears the most in a set of data. There may be no mode ( when no number out numbers the others)  or multiple modes ( multiple numbers appear the same number of times). Both 5 and 8 appear twice in this set.

Median - The middle number. To start, order your numbers from least to greatest.

1, 3, 5, 5, 8, 8, 10, 14

You have an even set of numbers (8 in total), which means there won't be one number left in the middle. In this situation, there are two: 5 and 8. So you just need to add them together and divide by 2

8 + 5 = 13        

13/ 2 = 6.5

3 0
3 years ago
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