3.3 Applications of Systems of Linear Equations-olivia gonzalez
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:
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3.3 Applications of Systems of Linear Equations-olivia gonzalez
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Student: olivia gonzalez
Date: 03/04/23
Instructor: Tim McCaffrey
Course: 2023-SP-E1 MAT115-AE-
Intermediate Algebra
Assignment: 3.3 Applications of Systems of
Linear Equations
Find the measures of the angles marked x and y. Remember that (1) the sum of the measures of the angles of a triangle is 180° and (2) supplementary
angles have a sum of 180°.
x
and y
(Simplify your answer. Do not include the degree symbol in your answer.)
=
30
=
60
YOU ANSWERED:
2
3
An official playing field (including end zones) for the Indoor Football League has a length yd longer than its width. The perimeter of the rectangular field is yd. Find the length and width of the field.
28
176
The length of the rectangle is and the width of the rectangle is 58
yards,
30
yards.
YOU ANSWERED:
3
yards ,
2
7
If a pound of turkey costs $
, how much will pounds cost?
0.81
y
The cost of pounds of turkey is $
.
y
0.81y
YOU ANSWERED:
.I 70
The Fan Cost Index (FCI) represents the cost of four average-price tickets, refreshments, and souvenirs to a sporting event. The FCIs for an independent league and an independent league totaled $
. The FCI was $
more than that of . What were the FCIs for these sports?
golf
baseball
94.90
baseball
6.32
golf
The FCI for was $
and the FCI for was $
golf
44.29
baseball
50.61
YOU ANSWERED:
7
50
x
°
y
°
(2x + 60)
°
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3.3 Applications of Systems of Linear Equations-olivia gonzalez
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5.
6.
7.
A basketball team played games. They won more than they lost.
62
20
How many games did they win?
How many games did they lose?
How many games did they win? 41
How many games did they lose? 21
YOU ANSWERED:
32
A motor scooter travels mi in the same time that a bicycle covers mi. If the rate of the scooter is mph more than twice the rate of the
bicycle, find both rates.
18
8
2
The scooter's rate is mph. (Type an integer or a decimal.)
18
The bicycle's rate is mph. (Type an integer or a decimal.)
8
YOU ANSWERED:
6
In the adjacent figure, and Determine a third equation involving x, y, and z, then find the measures of the three angles.
z = x + 10
x + y = 110.
x
Choose the correct equation below.
A.
x
90
=
B.
x
y
=
C.
x
z
=
D.
x
y
z =
+
+
Find the measures of the three angles.
x =
60
°
y =
50
°
z =
70
°
YOU ANSWERED:
56
27
32
y
z
°
°
°
3/4/23, 10
:
48 PM
3.3 Applications of Systems of Linear Equations-olivia gonzalez
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9.
10.
The perimeter of a triangle is cm. The longest side is cm less than the sum of the other two sides. Twice the shortest side is cm less than the longest side. Find the length of each side of the triangle.
71
3
8
The shortest side is 13
cm.
The middle side is 24
cm.
The longest side is 34
cm.
YOU ANSWERED:
4
6
cm .
3
8
cm .
2
A party mix is made by adding nuts that sell for $
per kg to a cereal mixture that sells for $
per kg. How much of each should be added to obtain kg of a mix that will sell for $
per kg?
2.50
1
40
1.30
Number of kilograms
Price per kilogram (in dollars)
Values (in dollars)
Nuts
x
2.50
Cereal
y
.00
1
Mixture
1.30
The amount of nuts is kg and cereal mixture is kg to obtain kg of a mix that will sell for $
per kg.
8
32
40
1.30
YOU ANSWERED:
30
27
How many pounds of candy that sells for $
per lb must be mixed with candy that sells for $
per lb to obtain lb of a mixture that should sell for $
per lb?
0.71
1.24
8
0.94
$
-per-lb candy: lb
0.71
4.53
(Type an integer or decimal rounded to two decimal places as needed.)
$
-per-lb candy: lb
1.24
(Type an integer or decimal rounded to two decimal places as needed.)
YOU ANSWERED:
23
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