Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
x+82+y
______________ =87
3
y-x=17
87,98, and 82.
We can find this integer using a system of equations. The first thing we look at is the first sentence.
Let's call X The first integer,
Let's call Y the second integer.
So, X+Y=61 and X-Y= 1
Using Substituion on the second equation, we get
X=Y+1
(Now we plug in Y+1 into the second equation for X)
So,
(Y+1)+Y=61
2Y=60
Y=30
So, one of the integers is 30.
Now to find the second, we go back to
X=Y+1
X=30+1
X=31.
So, the integers are 31 and 30.
Hope this helps!
Answer:
C. 34.15 oz
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
How heavy does a box have to be for it to be labeled overweight?
Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.
So X when Z = 1.645.
So the correct answer is:
C. 34.15 oz
First find the total without using the dicounts. then do 70×.35 which is 35% as a decimal. your answer is the dicounts but that is how much you are taking off. .35×70= 24.5 then you would do 70-24.5=45.5 then do the same for the other amount. add these two amounts together. ( 30×.25=7.5 30-7.5= 22.5) 45.5+22.5= 68 then do your first answer - 68 and that is how much is saved
