6(10+z+3)
= (6)(10 + z +3)
= (6)(10) + (6)(x) + (6)(3)
= 60 + 6x + 18
= 6x + 78
Answer:
The system of equations is given as:
x + y = 2.5 .... Equation 1
1.8x + 1.8y = 4.05....Equation 2
Step-by-step explanation:
Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05
Let
x represent red lentils
y represent yellow lentils.
x + y = 2.5 .... Equation 1
x = 2.5 - y
$1.80 × x + $1.80 × y = $4.05
1.80x + 1.80y = 4.05....Equation 2
The system of equations is given as:
x + y = 2.5 .... Equation 1
1.8x + 1.8y = 4.05....Equation 2
They are both in the thousands places
Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees
Sin x = 0.5
sin x = 1/2
sin x = opp/hyp
therefore the ratio of opp/hyp = 1/2, (opp = 1, hyp = 2)
Find the opp side
1² + x² = 2²
1 + x² = 4
x² = 4 -1
x² = 3
x =√3
The opp side is √3
cos x = opp/hyp = √3/2 = 0.87 (round to the nearest hundredths)
