Find the sum of p and q if p=3/4 and q=−11/4. Reduce your answer to lowest terms.(1 point)
To find the sum of p and q, you simply need to add the two fractions together:
p + q = (3/4) + (-11/4)
To add fractions with the same denominator, you can add the numerators together while keeping the denominator the same:
p + q = (3 - 11)/4
Next, subtract 11 from 3:
p + q = -8/4
Simplify the fraction by reducing the numerator and denominator by a common factor, which in this case is 4:
p + q = -2/1
The sum of p and q is -2/1, which can also be written as -2.
Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)
Responses
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
The real-world problem that could be solved with the sum 102.50 + (-39.95) is:
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Solve the following problem:
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)
°C
To find the temperature now, we need to subtract the change in temperature from the initial temperature:
Temperature now = Initial temperature - Change in temperature
Temperature now = 13°C - (-18.6°C)
When subtracting a negative number, you can rewrite it as addition:
Temperature now = 13°C + 18.6°C
Adding 13 and 18.6:
Temperature now = 31.6°C
Therefore, the temperature now is 31.6°C.
To find the sum of p and q, we need to add the values of p and q together.
p = 3/4
q = -11/4
To add fractions, we need to have a common denominator. The common denominator for 4 and 4 is 4.
So, we have:
p + q = (3/4) + (-11/4)
To add the fractions, we add the numerators and keep the denominator the same:
p + q = (3 - 11)/4
Simplifying the numerator gives us:
p + q = (-8)/4
Now, we can simplify the fraction further by dividing the numerator and denominator by their greatest common divisor, which is 4:
p + q = -8/4 = (-8 ÷ 4)/(4 ÷ 4) = -2/1
Thus, the sum of p and q, reduced to lowest terms, is -2.
To find the sum of p and q, we need to add their respective values. Let's substitute the given values of p and q into the sum.
p + q = (3/4) + (−11/4)
To add fractions with unlike denominators, we need to find a common denominator. In this case, the denominator is 4 for both fractions. The numerators then can be added together.
p + q = (3 + −11)/4
Next, we simplify the numerator.
p + q = (−8)/4
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
p + q = (−8 ÷ 4)/(4 ÷ 4)
= −2/1
Therefore, the sum of p and q, reduced to the lowest terms, is −2.