can anyone help me with these problems?
1. what number can be added to both the numerator and the denominator of (16/37) to produce a fraction equal to (5/8)? To answer this question, let x be the number in question. what fraction is produced when x is added to both the numerator and the denominator of (16/37)?
write an equation that says that this fraction is equal to (5/8).
solve this equation for x.
2. A wire 60 inches long is cut into two pieces whose lengths have a ratio of 3 to 1. to find the length of each piece, let x be the length for the shorter piece. since the wire is 60 inches long, and since the shorter piece is x inches long, what is the length of the longer piece?
write a formula that represents the length of the longer piece divided by the length of the shorter piece (that is, a formula for the ratio in terms of x.)
write an equation that says the ratio is equal to (3/1.)
solve this equation for x.
what is the length of each piece?
3. The ratio of the measures of two complementary angles is 4 to 1. find the measure of each angle.
If x is the length of the shorter piece, then the length of the longer piece is 60 - x. The equation would then be2. A wire 60 inches long is cut into two pieces whose lengths have a ratio of 3 to 1. to find the length of each piece, let x be the length for the shorter piece. since the wire is 60 inches long, and since the shorter piece is x inches long, what is the length of the longer piece?
write a formula that represents the length of the longer piece divided by the length of the shorter piece (that is, a formula for the ratio in terms of x.)
write an equation that says the ratio is equal to (3/1.)
solve this equation for x.
what is the length of each piece?
Solve for x.
Two angles are complementary if their sum equals 90 degrees. Set up the same way as in the 2nd problem. If angle x is the smaller angle, then what is the larger angle? What would the equation look like, then?3. The ratio of the measures of two complementary angles is 4 to 1. find the measure of each angle.
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