Answer:3.81 centimeters
Step-by-step explanation:All you have to do is to convert inches into centimeters
So 1 inch=2.54cm
Therefore 1.5inches=(1.5/1)×2.54cm
=3.81cm
Answer:
x = 1
Step-by-step explanation:
3^(4x + 2) = 9^(x + 2)
Make 9 with base 3.
3^(4x + 2) = (3^2)^(x + 2)
3^(4x + 2) = 3^(2x + 4)
Cancel bases.
4x + 2 = 2x + 4
Subtract 2 and 2x on both sides.
4x - 2x = 4 - 2
2x = 2
Divide 2 on both sides.
x = 1
Answer:
$9 in change
Step-by-step explanation:
Find the total cost of his purchases:
28 + 28 + 85
= 141
Find how much change he received by subtracting this from 150:
150 - 141
= 9
So, he should have received $9 in change
Answer:
No, not congruent
Step-by-step explanation:
Triangles cannot be considered congruent based on the fact that all 3 angles are congruent
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Answer:
50 tickets with a meal and 20 tickets without a meal
Step-by-step explanation:
Create two equations. Group the information based on labels. All the amounts that have $ in it go with one equation and the number of tickets will be in the second equation.
I will let x represent with a meal and y will represent without a meal
35x + 25y = 2250
x + y = 70
I will solve using substitution, so I will solve for y in the second equation. To do this, I will subtract x from both sides.
x - x + y = 70 - x
y = 70 - x
Now I will substitute in for y in the first equation and solve for x.
35x + 25(70 - x) = 2250
35x + 1750 - 25x = 2250
10x + 1750 = 2250
10x + 1750 - 1750 = 2250 - 1750
10x = 500
10x/10 = 500/10
x = 50
Now I will solve for y. I will use the original second equation and substitute 50 in for x.
x + y = 70
50 + y = 70
50 - 50 + y = 70 -50
y = 20
50 tickets with a meal and 20 tickets without a meal
