Answer:
the ordered pair is (2,-1)
Step-by-step explanation:
We need to solve the system of equations using elimination method
12x - y = 25 eq(1)
9x + y = 17 eq(2)
Adding eq(1) and eq(2)
12x - y = 25
9x + y = 17
___________
21x = 42
x = 42/21
x= 2
Now, putting value of x in equation 1
12x - y = 25
12(2) -y = 25
24 -y = 25
Adding -24 on both sides
24 -y-24 = 25-24
-y = 25-24
-y = 1
Multiply both sides by -1
y = -1
the value of x = 2 and y = -1
So, the ordered pair is (2,-1)
100 because of complementary angles
Answer:
0.6x < 12.5
x < 20.83 days
Step-by-step explanation:
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write an inequality that represents the number of days Diego's father can drive the car without the warning light coming on. Explain each part of your inequality
Car fuel capacity = 14 gallons
Fuel capacity that shows warning light = 1.5 gallons
Fuel capacity without warning light = Car fuel capacity - Fuel capacity that shows warning light
= 14 gallons - 1.5 gallons
= 12.5 gallons
Fuel used per day = 0.6 gallons
Let
x = number of days Diego's father can drive the car without the warning light coming on
The inequality is
0.6x < 12.5
Solve for x
x < 12.5/0.6
x < 20.83 days
Answer:
$56.34
Step-by-step explanation:
Answer:
Given expressions are,
217 x 328 x 11
213 x 345 x 74,
Since, 217 = 7 × 31
328 = 2 × 2 × 2 × 41,
11 = 1 × 11,
So, we can write, 217 x 328 x 11 = 7 × 31 × 2 × 2 × 2 × 41 × 1 × 11
Now, 213 = 3 × 71
345 = 3 × 5 × 23,
74 = 2 × 37,
So, 213 x 345 x 74 = 3 × 71 × 3 × 5 × 23 × 3 × 5 × 23
Thus, GCF ( greatest common factor ) of the given expressions = 1 ( because there are no common factors )
We know that if two numbers have GCF 1 then their LCM is obtained by multiplying them,
Hence, LCM ( least common multiple ) of the given expressions = 217 x 328 x 11 x 213 x 345 x 74