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Nookie1986 [14]
3 years ago
12

A landscaper has 10 2/5 cubic yards of peat moss in a truck. If he unloads 2 2/3 cubic yards at the first site and 2 1/4 cubic y

ards at the second site, how many cubic yards of peat moss remain for the third site?
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Step-by-step explanation:

The problem bothers on fractions, here we are being presented with mixed fractions.

what we are going to do bascially is to subtract the sum of all the uloaded

peat moss in sites 1 and 2 to get from the peat moss to get the remaining for the third site

therefore

10\frac{2}{5}-(2\frac{2}{3}+ 2\frac{1}{4})

we then have to convert the mixed fraction to further simplify the problem we have

\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})

we then solve the fraction to the right of the negative symbol first

=\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})\\\\=\frac{52}{5}-\frac{32+27}{12} \\\\=\frac{52}{5}-\frac{59}{12} \\\\\=\frac{624-295}{60} \\\\=\frac{329}{60}

We can now convert to mixed fraction

=\frac{329}{60}\\\\ =5\frac{12}{25}

For the third site the remainder is 5 12/25

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Marta's jump rope is 10" shorter than four times the length of Dilbert's rope. If both their ropes laid together end to end and
sladkih [1.3K]

Answer:

Marta's rope is 94"

Step-by-step explanation:

D = dilberts rope length

M = marta's rope length

Marta's jump rope is 10" shorter than four times the length of Dilbert's rope

M = 4D-10

both their ropes laid together end to end and measured 120" long

M+D = 120

Substitute 4D-10 for M in the second equation

4D-10 + D = 120

Combine like terms

5D-10=120

Add 10 to each side

5D-10+10 =120+10

5D =130

Divide by 5

5D/5 = 130/5

D =26

Now we need to find M

M+D = 120

M +26 = 120

Subtract 26 from each side

M = 120-26

M = 94

3 0
3 years ago
Can anyone help me with this and let me know how to enter this on my calculator, please? It doesn’t seem to give me the correct
Drupady [299]

Answer:

0.036

Step-by-step explanation:

<em>The </em><em>diameter</em><em> </em><em>is </em><em>0</em><em>.</em><em>6</em><em>/</em><em>2</em><em>,</em><em> </em><em>which </em><em>is </em><em>0</em><em>.</em><em>3</em><em> </em><em>and </em><em>your </em><em>radius </em><em>is </em><em>0</em><em>.</em><em>3</em><em>.</em>

<em>on </em><em>your </em><em>calculator</em><em> </em><em>,</em><em> </em><em>you'll</em><em> </em><em>press </em><em>4</em><em>/</em><em>3</em><em> </em><em>×</em><em> </em><em>0</em><em>.</em><em>3</em><em>^</em><em>3</em>

<em>which </em><em>is </em><em>equals </em><em>to </em><em>0</em><em>.</em><em>0</em><em>3</em><em>6</em><em>π</em>

5 0
2 years ago
If a car is moving at a speed of 30 miles per hour, how many miles
Ne4ueva [31]

Answer:

90 miles

Step-by-step explanation:

There's more than one way in which to do this.  I have chosen to convert '180 minutes' to '3 hours.'

Since distance = rate times time, we have here:

distance traveled in 180 minutes = (30 mph)(3 hr) = 90 miles

4 0
2 years ago
Suppose that angle P = 3x + 14 and angle Q = 3x - 27. If these angles are supplementary, angle Q would need to be ___ degrees.
adelina 88 [10]

Answer:

Q = 69.5 degrees

Step-by-step explanation:

3x + 14 + 3x - 27 = 180

6x - 13 = 180

6x = 193

x = 32.1667

Q = 3(32.1667) - 27

Q = 69.5

5 0
3 years ago
X = {(2, 3), (2, 4), (2, 5), (2, 6)} is x a function and why? no, each ordered pair in this list has the same first element. yes
Vesnalui [34]
For every input, there is one output
for every x there is one y
(x,y)

if x repeats with a differnt y, it's not a function
we see
(2,3) and (2,4) and all of them

no, not a function
<span>no, each ordered pair in this list has the same first element
answer is first one
</span>


6 0
3 years ago
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