45:X=35:105
Find the value of X. (Enter the whole number only.)
135
150
120
130
Correct Answer : A
To solve the proportion =
, use cross-multiplication:
45×105=35×𝑋
Calculate the left side:
45×105=4725
Now set up the equation:
4725=35𝑋
Solve for X by dividing both sides by 35:
𝑋= = 135
Thus, the value of X is 135.
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Related Questions
Correct Answer is B
Explanation
To find out how much the patient will pay after a 15% discount, first calculate the amount of the discount and then subtract it from the original total charge.
1. Calculate the discount:
15%×532.00
=0.15×532.00
=79.80USD
2. Calculate the final amount the patient pays:
532.00−79.80
=452.20USD
The patient will pay 452.20 USD in full today.
Therefore, the correct answer is: B $452.20
Correct Answer is D
Explanation
Express 0.07 as a fraction first.
Expressing as a fraction:
0.07 can be written as.
Removing the decimal point:
To remove the decimal, multiply the numerator and the denominator by 100 (since there are two decimal places in 0.07):
=
Converting to a ratio:
Now the fraction represents the ratio 7:100.
The correct answer is: D 7:100
Correct Answer is C
Explanation
To convert the decimal 8.08 to a fraction and simplify it to the lowest terms, follow these steps:
- Write it as a fraction of 1:
8.08 =
- Multiply both the numerator and the denominator by 100 to eliminate the decimal places (since there are two decimal places in 8.08):
=
- Simplify the fraction: The greatest common divisor (GCD) of 808 and 100 is 4, so divide both the numerator and the denominator by 4:
=
- Express as a mixed number: Divide 202 by 25:
202÷25=8remainder2
This gives:
The simplified mixed number for 8.08 is
The answer is C 8 2/25.
Correct Answer is A
Explanation
Set up a proportion where the ratios must be equal.
=
This can be solved by cross-multiplying:
200×𝑋=2×20
200𝑋=40
Now, solve for X by dividing both sides by 200:
𝑋= = 0.2
Thus, the value of X is 0.2.
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