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Julli [10]
3 years ago
9

Owen received $100 for his birthday.he wants to spend 2/10 of his money on a video game.he wants to spend 55/100 of his money on

a skateboard.he wants to spend 3/10 of his money on comic books.what fraction of his birthday money does owen want to spend?does he have enough money ?
Mathematics
1 answer:
babymother [125]3 years ago
8 0
An easy way to solve fraction problems like this is to make each fraction have the same denominator.  Since he has $100, the denominator will be 100.
2/10=?/100    10*10=100  1*10=20   20/100 of his money he wants to spend on video games
55/100 already has 100 as its denominator, so he wants to spend 55/100 on a skateboard.
3/10=?/100   10*10=100   3*10=100  30/100 is how much he wants to spend on comic books.
Add all of the fractions together to see how much he wants to spend and if he has enough.
20/100+55/100+30/100=105/100
He wants to spend $105, which is $5 more than he has.
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3 years ago
Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

T8 = - 2 × (- 3)^7

T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30o angle. To
melamori03 [73]

Answer:

a person travel 50 ft from the bottom to the top of the escalator

Step-by-step explanation:

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30 degree angle

The escalator forms a right angle triangle

opposite to 30 degree angle is 25 feet. to find the distance from the bottom to the top of the escalator we find the hypotenuse

let x be the hypotenuse

sin(theta)=\frac{opposite}{hypotenuse}

sin(30)=\frac{25}{x}\\x sin(30)= 25\\x=\frac{25}{sin(30)} \\x=50\\

a person travel 50 ft from the bottom to the top of the escalator

6 0
3 years ago
Please help me with #2! Thanks!!!
Tanya [424]
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48/80 divided by what equals 3/5 ?
mote1985 [20]
They have the exact same value so you just divide by 1
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4 years ago
Read 2 more answers
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