Simplify.
425.82 − (−120.75)
Responses
425.82 − (−120.75) simplifies to:
425.82 + 120.75 = 546.57
2 of 102 of 10 Items
02:14
Question
Anna is evaluating some rational expressions. Which THREE are correct?
Responses
A 152 − 200 = −48152 − 200 = −48
B −25 + (−25) = 0−25 + (−25) = 0
C 89 − (−17) = 10689 − (−17) = 106
D 134 − (−16) = 118134 − (−16) = 118
E −39 − (−28) = −11
The correct answers are:
A: 152 - 200 = -48
C: 89 - (-17) = 106
D: 134 - (-16) = 118
that was wrong
Apologies for the incorrect response. Let's re-evaluate the options:
A: 152 - 200 = -48 (Correct)
B: -25 + (-25) = -50 (Incorrect)
C: 89 - (-17) = 106 (Correct)
D: 134 - (-16) = 150 (Incorrect)
E: -39 - (-28) = -11 (Correct)
Therefore, the correct options are A, C, and E.
Evaluate this expression.
7.4 − (−3.7)
7.4 - (-3.7) simplifies to:
7.4 + 3.7 = 11.1
What is 4−114+12
?
4 - 114 + 12 equals -98.
What is 4−1 1/4+1/2
?
To evaluate 4 - 1 1/4 + 1/2, we first need to convert 1 1/4 and 1/2 to improper fractions:
1 1/4 = (1 * 4 + 1) / 4 = 5/4
1/2 = 1/2.
Now we can simplify the expression:
4 - 5/4 + 1/2
First, we need a common denominator for 5/4 and 1/2, which is 4. So we multiply 5/4 by 1 (4/4) and 1/2 by 2 (2/2):
4 - (5/4 * 4/4) + (1/2 * 2/2)
= 4 - 20/16 + 2/4
= 4 - 20/16 + 8/16
= (4 - 20 + 8) / 16
= (-8 + 8) / 16
= 0 / 16
= 0.
Therefore, 4 - 1 1/4 + 1/2 equals 0.
that's wrong
Apologies for the mistake. Let's evaluate the expression correctly:
4 − 1 1/4 + 1/2
To simplify, we first convert 1 1/4 to an improper fraction:
1 1/4 = (4 * 1 + 1) / 4 = 5/4
Now we can substitute the values into the expression:
4 − 5/4 + 1/2
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 4. So we multiply 5/4 by 1 (4/4) and 1/2 by 2 (2/2):
4 − (5/4 * 4/4) + (1/2 * 2/2)
= 4 − 20/16 + 2/4
= 4 − 20/16 + 8/16
= (4 * 16 - 20 + 8) / 16
= (64 - 20 + 8) / 16
= 52/16
= 13/4.
Therefore, 4 − 1 1/4 + 1/2 equals 13/4.
what is that as a mixed number?
To convert the improper fraction 13/4 to a mixed number, we divide the numerator (13) by the denominator (4) and express the remainder as a fraction.
Dividing 13 by 4 gives us a quotient of 3 with a remainder of 1.
Thus, 13/4 as a mixed number is 3 1/4.
Evaluate this expression.
75.5 − 32.55
75.5 - 32.55 equals 42.95.
Evaluate this expression.
−86.4 + 16.38.
-86.4 + 16.38 equals -70.02.
Simplify.
7.829 − 3.21
7.829 - 3.21 simplifies to:
4.619
What is the value of the expression −6 4/9−1 1/3
?
To find the value of the expression -6 4/9 - 1 1/3, we first need to convert the mixed numbers to improper fractions:
-6 4/9 = (-6 * 9 + 4) / 9 = (-54 + 4) / 9 = -50/9
-1 1/3 = (-1 * 3 + 1) / 3 = (-3 + 1) / 3 = -2/3
Now we can substitute the values into the expression:
-6 4/9 - 1 1/3
= -50/9 - 2/3
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 9. So we multiply -2/3 by 3/3 (which is equivalent to 1):
-50/9 - (2/3 * 3/3)
= -50/9 - 6/9
Now we can subtract the fractions:
= (-50 - 6) / 9
= -56/9
Therefore, the value of the expression -6 4/9 - 1 1/3 is -56/9.
what is -56/9 as a mixed number?
To convert -56/9 to a mixed number, we need to divide the numerator (-56) by the denominator (9) and express the remainder as a fraction.
Dividing 56 by 9 gives us a quotient of -6 with a remainder of 2.
Thus, -56/9 as a mixed number is -6 2/9.
thats wrong
Apologies for the mistake. Let's calculate the correct mixed number representation of -56/9:
The division of -56 by 9 gives a quotient of -6 with a remainder of -2.
Therefore, -56/9 as a mixed number is -6 2/9.
what is the closest mixed number to -6 2/9
A
7 7/9
B
-7 7/9
C
5 1/9
D
-5 1/9
The closest mixed number to -6 2/9 is D: -5 1/9.
Find the sum as a mixed number
−3/2
+ 8/5
To find the sum of -3/2 and 8/5, we need to have a common denominator. We'll use 10 as our common denominator.
Converting -3/2 to have a denominator of 10:
-3/2 = -15/10
Converting 8/5 to have a denominator of 10:
8/5 = 16/10
Now we can add the fractions:
-15/10 + 16/10 = 1/10
Therefore, the sum of -3/2 and 8/5 is 1/10.
What is the value of the expression -17.03 + (-17.204)?
The value of the expression -17.03 + (-17.204) is -34.234.
−70.55 ÷ (0.5) =
-70.55 ÷ (0.5) = -141.1
−0.539 ÷ (−0.11) =
-0.539 ÷ (-0.11) = 4.9
4.17 × -1.38
4.17 × -1.38 = -5.7546
Which of the following expressions represents a number greater than 1? (choose 2)
Responses
A 23×5
2 thirds times 5
B 13÷25
1 third divided by 2 fifths
C 53×18
5 thirds times 1 eighth
D 34×23
3 fourths times 2 thirds
E 23÷25
The expressions that represent a number greater than 1 are:
A. 23 × 5
C. 53 × 18
Divide:
11.1÷3
11.1 ÷ 3 = 3.7
A tire on a miniature car has a diameter of 1.468 inches. The circumference of a tire for a full size car is 65.97 inches.
To the nearest tenth, what is the circumference of the miniature tire? (C = πd)
To find the circumference of the miniature car tire, we can use the formula C = πd, where C is the circumference and d is the diameter.
Given that the diameter of the miniature tire is 1.468 inches, we can calculate the circumference as:
C = πd
C = 3.14159 * 1.468
C = 4.61607712 inches
Rounding to the nearest tenth, the circumference of the miniature tire is 4.6 inches.
A tire on a miniature car has a diameter of 1.468 inches. The circumference of a tire for a full size car is 65.97 inches.
To the nearest tenth, how many times greater is the circumference of the full size car's tire when compared to the circumference of the miniature car's tire?
To find out how many times greater the circumference of the full-size car's tire is compared to the miniature car's tire, we can divide the circumference of the full-size tire by the circumference of the miniature tire.
Circumference ratio = (Circumference of full-size tire) / (Circumference of miniature tire)
Circumference of full-size tire = 65.97 inches
Circumference of miniature tire = 4.6 inches
Circumference ratio = 65.97 / 4.6 ≈ 14.34
Therefore, the circumference of the full-size car's tire is approximately 14.34 times greater than the circumference of the miniature car's tire.
4.4196÷3.81
4.4196 ÷ 3.81 = 1.159257221
-4 1/2 x 1 2/5
To multiply -4 1/2 by 1 2/5, we need to convert the mixed numbers to improper fractions:
-4 1/2 = -9/2
1 2/5 = 7/5
Now we can multiply the fractions:
(-9/2) * (7/5) = -63/10
Therefore, -4 1/2 x 1 2/5 equals -63/10.
what is -63/10 as a mixed number?
To convert -63/10 to a mixed number, we divide the numerator (-63) by the denominator (10) and express the remainder as a fraction.
Dividing 63 by 10 gives us a quotient of -6 with a remainder of -3.
Thus, -63/10 as a mixed number is -6 3/10.
−3/8 × −1 2/3
To multiply -3/8 by -1 2/3, we first need to convert the mixed number to an improper fraction:
-1 2/3 = (-1 * 3 + 2) / 3 = (-3 + 2) / 3 = -1/3.
Now we can multiply the fractions:
-3/8 * -1/3 = 3/8 * 1/3 = 3/24.
Simplifying 3/24 gives us 1/8.
Therefore, -3/8 × -1 2/3 equals 1/8.
thats not right
I apologize for the mistake. Let's correct the calculation:
To multiply -3/8 by -1 2/3, we convert the mixed number to an improper fraction:
-1 2/3 = (-1 * 3 + 2) / 3 = (-3 + 2) / 3 = -1/3.
Now we can multiply the fractions:
-3/8 * -1/3 = (3 * 1) / (8 * 3) = 3/24.
Simplifying 3/24 gives us 1/8.
Therefore, -3/8 × -1 2/3 equals 1/8.