Answer:
c.
Step-by-step explanation:
the most that can be factored out is -1.5,
-1.5 * w = -1.5w
-1.5 * -5 = 7.5
-1.5w + 7.5, so it's
-1.5(w-5)
Answer:
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
Step-by-step explanation:
<u><em>Given:</em></u>
<em>At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold</em>
<u><em>To Find:</em></u>
<em>Number of soda/hot dog sold</em>
<u><em>Solve:</em></u>
<em>h + ( 39 + h ) = 105</em>
<em>h + 39 + h = 105</em>
<em>2h + 39 = 105</em>
<em>h + 19.5 = 52.5</em>
<em>h = 52.5 - 19.5 </em>
<em>This as a system does not use any inequality. "39 more than" means, +39.</em>
<em>h = 33 meaning d= 72</em>
<em />
<em>Add to check Answer:</em>
<em>33 + 72 = 105</em>
<em>Thus,</em>
<em>Hot dog sold = 33</em>
<em>Sodas Sold = 72</em>
<em />
<u><em>Kavinsky </em></u>
Answer:
C) 16π ft
Step-by-step explanation:
Fencing is perimeter. The perimeter of a circle is the circumference.
The circumference of a circle is pi time diameter
C= pi*d
We know the diameter is 16
C = 16*pi ft
We will need 16 pi ft of fencing
Answer:
This is very detailed as I wish to make some principles about fractions clear.
3
5
12
Explanation:
This question boils down to
3
2
3
−
1
4
A fractions structure is that of:
count
size indicator of what you are counting
→
numerator
denominator
You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
3
2
3
Write as
3
+
2
3
Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value
[
3
×
1
]
+
2
3
[
3
×
3
3
]
+
2
3
9
3
+
2
3
=
11
3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Putting it all together
3
2
3
−
1
4
→
11
3
−
1
4
But the size indicators are not the same. I chose to make them become 12
11
3
−
1
4
→
[
11
3
×
1
]
−
[
1
4
×
1
]
→
[
11
3
×
4
4
]
−
[
1
4
×
3
3
]
→
44
12
−
3
12
Now we may subtract the counts
→
44
−
3
12
=
41
12
But this is the same as
12
12
+
12
12
+
12
12
+
5
12
=
1
2
+
2
1
2
+
2
1
2
+
5
12
=
3
5
12
Step-by-step explanation:
