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3 years ago

The volume of a Soap cake is 160 cm 3 . Its length and width are 10cm and 5 cm. Find its height.

Mathematics

1 answer:

julia-pushkina [17]3 years ago

4 0

Answer:

h = 3.2 cm

Step-by-step explanation:

$h=\frac{Volume}{l * w}\\\\=\frac{160}{10*5}\\\\=\frac{16}{5}\\\\$

= 3.2 cm

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Sponges are sold for 20 dollars. How many sponges per dollar.

Natasha2012 [34]

Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

5 0

2 years ago

A total of 20 quarters and nickels add up to $4.00. How many nickels are there?

mariarad [96]

Answer:

5 nickels

Step-by-step explanation:

You can setup and solve a system of equations, or you can solve by trial and error until you get the correct answer.

Here is the solution by trial and error.

If all 20 coins are quarters, the value is 20 * $0.25 = $5

That is too much value.

Let's try 16 quarters. 16 quarters are worth 16 * $0.25 = $4.

That is the correct value, but it is only with quarters, and only 16 of them.

We need fewer quarters than 16.

Try 12 quarters: 12 * $0.25 = $3.00

The number of nickels is: 20 - 12 = 8

8 nickels are worth 8 * $0.05 = $0.40

12 quarters and 8 nickels are worth $3.00 + $0.40 = $3.40

There are 20 coins, but the value is too low.

The number of quarters is between 12 and 16.

Try 14 quarters and 6 nickels:

14 * $0.25 + 6 * $0.05 = $3.50 + $0.30 = $3.80

We are closer to $4 but not there yet.

Try 15 quarters and 5 nickels.

15 * $0.25 + 5 * $0.05 = $3.75 + $0.25 = $4

The total value is $4 and there are 20 coins. This is the answer.

15 quarters and 5 nickels works.

Answer: 5 nickels

8 0

3 years ago

Write an expression to represent:<br> Nine more than the quotient of two and a number x

Taya2010 [7]

Answer:

9+(2/x)

Step-by-step explanation:

6 0

3 years ago

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

icang [17]

About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.
$a^{2} +b^{2} = c^{2}$
$x^{2} +(x+12)^{2} = 34^{2}$
Simplify
$2x^{2} + 24x+144 = 1156$
Subtract 144 from both sides
$2x^{2} + 24x = 1012$
divide both sides by 2
$x^{2} + 12x = 506$
complete the square
$x^{2} + 12x + 36 = 506 +36 . = (x+6)^2 = 542$
take the square root of both sides.
$x+6 = 23.28$
subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56

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3 years ago

I need a linear equation

SSSSS [86.1K]

Answer:

y = 2x + 5 is an option

4 0

3 years ago