Answer:
Manny bought 3 pounds that were not on sale
Step-by-step explanation:
If 75 % were on sale, (100% -75% = 25%) then 25% were not on sale (The total has to be 100%)
Manny bought 12 pounds of vegetables
To determine how many pounds were not on sale, we take the amount of vegetables purchased and multiply by the percent that were not on sale.
12 * 25%
Change this to decimal form
12 *.25
3
Manny bought 3 pounds that were not on sale
The <em><u>correct answers</u></em> are:
60 pounds of onion rings and 60 hamburgers.
Explanation:
Jack serves a half pound of onion rings with every burger. He serves 120 bacon cheeseburgers. To find the number of pounds of onion rings, we multiply 1/2 pound by 120 burgers:
1/2(120) = 1/2(120/1) = (1*120)/(2*1) = 120/2 = 60 pounds of onion rings.
There were 8 hamburgers served out of the first 40 orders. If this rate continues, then to find the number of hamburgers out of 300 orders, we multiply 8/40 by 300:
8/40(300) = 8/40(300/1) = (8*300)/(40*1) = 2400/40 = 60
There would be 60 hamburgers.
<h2><em>y
2
+
6
y
−
16
=
(
y
+
8
)
(
y
−
2
)
</em></h2><h2 /><h2><em>Explanation:
</em></h2><h2><em>Note that in general:
</em></h2><h2 /><h2><em>(
y
+
a
)
(y
−
b
)
=
y
2
+
(
a
−
b
)
y
−
a
b
</em></h2><h2 /><h2><em>So we want to find a pair of factors a and b of 16 which differ by 6
. </em></h2><h2><em>The pair 8
,
2 works in that 8−
2
=
6 and 8
⋅
2=
16
.
</em></h2><h2 /><h2><em>Hence:
</em></h2><h2><em>
y
2
+
6
y
−
16
=
(
y+
8
)
(
y
−
2
)</em></h2><h2><em>y=2,-8</em></h2>
Answer:
If we want to expand the brackets, the fraction would be:
Explanation:First, we can note that:
w² + w - 20 can be factorized as follows:
w² + w - 20 = (w+5)(w-4)
The given expression already has a (w+5) in the denominator, therefore, all we need to do is multiply the denominator by (w-4)
Since we want the new fraction to be equivalent to the original one, therefore, as we multiply the denominator by (w-4), we will also multiply the numerator by (w-4) to ensure that the value of the fraction is unchanged.
Based on the above, the new fraction would be:

If we want to expand the brackets, the fraction would be:

Hope this helps :)