Answer:
Step-by-step explanation:
you just gotta add all the side-lengths together and consider each grid square as 10 instead of 1.
so 70 + 40 + 20 + 60 + 20 + 40 i believe.
this all equals 250.
ask your teacher if its a type, because there's no 250 on there. grab a calculator or something as proof.
Step-by-step explanation:
3x + 4 + 7x + 16 = 110
10x = 90
x = 9
therefore, Sam = $31 and Tessa = $79
Topic: Algebraic Equations
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Answer:
(4,12)
(-1,-3)
Step-by-step explanation:
x^2 - y = 4
y = 3x
Use substitution. Substitute 3x for y in the first equation
x^2 - (3x) = 4
x^2 -3x =4
Subtract 4 from each side
x^2 -3x -4 = 4-4
x^2 -3x-4 =0
Factor
(x-4) (x+1) =0
Using the zero product property
x-4 =0 x+1 =0
x=4 x=-1
Now to find y for each x solution
x=4
y =3x = 3(4) =12
(4,12)
x=-1
y =3x = 3(-1) =-3
(-1,-3)
Answer:
207 cubic centimeters
Step-by-step explanation:
Given
volume of cone = 9 cubic centimeters
Since the cone and cylinder above have the same radius, r, and height, h, then r = h
volume of the cone = 1/3πr²h
69 = 1/3πr²h
πr²h = 69*3
πr²h = 207cubic cm
Since the volume of the cylinder = πr²h
Hence volume of the cylinder is 207 cubic centimeters
Answer: 3/8
Explanation: To subtract unlike fractions such as 5/8 - 1/4, first find a common denominator. The common denominator of 8 and 4 will be the least common multiple of 8 and 4 which is 8.
Notice that our first fraction already has 8 in the denominator so it stays the same. To get 8 in the denominator of 1/4, we multiply the numerator and denominator by 2 to get 2/8.
Now we have 5/8 - 2/8.
To subtract like fractions, we simply subtract the numerators to get 3 and keep our denominator of 8 and we have 3/8.
Since 3/8 is in lowest terms, it's our final answer.
Therefore, 5/8 - 1/4 = 3/8.
