Answer:
Step-by-step explanation:
We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.
Now lets translate the words into algebra:
"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32
"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75
There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:
3s + z = 0.75
-3s -3s
------------ -------------
z = -3s +0.75
Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:
5s + 2(-3s + 0.75) = 1.32
Can you handle it from here?
(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)
Answer:
x = 30°
Step-by-step explanation:
We know that the sum of all of the interior angles of a triangle is 180°, therefore, we can write the following equation:
x + 2x + 3x = 180
6x = 180
x = 30°
To figure out the cost for 180 packages, you must first calculate how many packages they bought for $72. Since each case holds 12 packages, for $72, the company bought 24 packages (12×2). Then you have to divide 24 into 180 to figure out the cost for those 180 packages and get 7.5. To get the cost of the 180 packages, you must multiply 7.5 (the number of 24 packages that go into 180) by 72 (the cost of one group of 24 packages). You then get 540. The company must pay $540 for the 180 packages.
Answer:
1. X > 8
2. a. X < 5
Step-by-step explanation:
1. 3x - 8 > 16
+8. +8
3x > 24
divide both sides by 3
x >8
2. 2x - 1 < 9
+1. +1
2x < 10
divide both sides by 2
x < 5
Answer:
a=54.15 and b=14
Step-by-step explanation:
