Simplify the expression.
0.625+3/4
A 11/8
B 3/2
C 11/9
D 8/11
The expression can be simplified by finding a common denominator for the fractions.
The denominator of 0.625 is 1000 (since there are three decimal places), and the denominator of 3/4 is 4.
Therefore, we need to convert both fractions to have the same denominator of 1000:
0.625 * (1000/1000) = 625/1000
3/4 * (250/250) = 750/1000
Now, we can add the fractions:
625/1000 + 750/1000 = 1375/1000
Finally, we can simplify this fraction:
1375/1000 = 11/8
The simplified expression is 11/8.
Therefore, the answer is A) 11/8.
To simplify the expression 0.625 + 3/4, we need to find a common denominator for the two numbers. In this case, the common denominator is 4.
First, let's rewrite 0.625 as a fraction. Since the decimal is three places to the right of the decimal point, we can write it as 625/1000.
Next, we need to convert the fraction 3/4 to have the same denominator of 1000. To do this, we can multiply both the numerator and denominator by 250, which gives us 750/1000.
Now that both fractions have the same denominator, we can add them together.
625/1000 + 750/1000 = 1375/1000.
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125.
(1375/125) / (1000/125) = 11/8.
Therefore, the simplified expression is 11/8, which corresponds to option A.
To simplify the expression 0.625 + 3/4, we need to find a common denominator for the two fractions.
First, we can convert 0.625 into a fraction by placing it over 1, like this: 0.625/1.
Next, we need to find the common denominator for 1 and 4, which is 4. So we rewrite 0.625/1 as 0.625/1 * 4/4.
Now, let's add the two fractions: (0.625 * 4 + 3)/4.
Next, we simplify the numerator: 0.625 * 4 is equal to 2.5.
So, the expression becomes (2.5 + 3)/4.
Adding the numerator: 2.5 + 3 = 5.5.
So, the final simplified expression is 5.5/4.
However, none of the given answer choices match this result. Please double-check the original question or provide additional information.
100 X 36
The product of 100 multiplied by 36 is 3600.
A ribbon 6 1/8 feet in length is shortened by having 2 1/12 feet cut off one end what is the length of the shortened ribbon
A 4 1/24
B 3 5/24
C 4 9/24
D 4 5/24
To find the length of the shortened ribbon, we need to subtract the length that was cut off from the original length.
The original length of the ribbon is 6 1/8 feet, which can be written as an improper fraction: 49/8.
The length that was cut off is 2 1/12 feet, which can be written as an improper fraction: 25/12.
To subtract the fractions, we need to find a common denominator. In this case, the common denominator is 24.
Converting 49/8 to have a denominator of 24:
(49/8) * (3/3) = 147/24
Converting 25/12 to have a denominator of 24:
(25/12) * (2/2) = 50/24
Now, we can subtract the fractions:
Length of the shortened ribbon = 147/24 - 50/24 = 97/24
We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 1.
Length of the shortened ribbon = 97/24
Therefore, the length of the shortened ribbon is 4 1/24 feet.
The answer is A) 4 1/24.
Christine(C) and Ty(T) save quarters in a jar together. the jar had $28 in it, then Christine put in C quarters and Ty put in T quarters which expression can be used to represent the amount of money in the bank now?
A CT+28
B 0.25C+0.25T+28
C 0.50(C+T)+28
D 0.25FJ+28
The correct expression that represents the amount of money in the bank after Christine and Ty put in their quarters is A) CT+28.
This is because C represents the number of quarters Christine put in, and T represents the number of quarters Ty put in. Multiplying C by T gives us the total value of the quarters added to the jar.
Adding this value to the initial amount of $28, we get the total amount of money in the jar now. Hence, the expression is CT+28.
SIMPLIFY
(3/4x-1)+(3/4x-2)
A 1
B -3
C 3/4x+1
D 3/2x-3
To simplify the expression (3/4x - 1) + (3/4x - 2), we can combine like terms.
The terms (3/4x) and (3/4x) have the same variable term and can be combined. The constant terms -1 and -2 can also be combined.
(3/4x - 1) + (3/4x - 2) = 3/4x + 3/4x - 1 - 2
Next, we combine the like terms by adding the coefficients:
(3/4x + 3/4x) + (-1 - 2) = (6/4x) + (-3)
We can simplify the fraction 6/4 by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(6/4x) + (-3) = (3/2x) - 3
Therefore, the simplified expression is (3/2x - 3), which corresponds to option D.
Simplify
7x+3(x-2)-4x+8
A 6x+14
B 6x+2
C 14x+2
D 14x+14
To simplify the expression 7x + 3(x - 2) - 4x + 8, we can start by distributing the 3 to the terms inside the parentheses:
7x + 3x - 6 - 4x + 8
Next, we can combine like terms:
(7x + 3x - 4x) + (-6 + 8) = 6x + 2
Therefore, the simplified expression is 6x + 2, which corresponds to option B.
Simplify
(3x-8)+(2x+5)-(4x-8)
A x+5
B z-11
C 9x-11
B 9x+5
To simplify the expression (3x - 8) + (2x + 5) - (4x - 8), we can start by removing the parentheses and combining like terms:
3x - 8 + 2x + 5 - 4x + 8
Next, we can combine the x terms and the constant terms separately:
(3x + 2x - 4x) + (-8 + 5 + 8)
Simplifying further:
x + 5
Therefore, the simplified expression is x + 5, which corresponds to option A.
Which is equivalent to2.2-0.5(0.6x-1.8)
A 1.3-0.3x
B 0.3x +1.3
C 0.3x+3.1
D 3.1-0.3x
To simplify the expression 2.2 - 0.5(0.6x - 1.8), we can start by distributing the -0.5 to the terms inside the parentheses:
2.2 - 0.5(0.6x) + 0.5(1.8)
Next, we can simplify these terms:
2.2 - 0.3x + 0.9
Combining like terms:
(2.2 + 0.9) - 0.3x
Simplifying further:
3.1 - 0.3x
Therefore, the expression 2.2 - 0.5(0.6x - 1.8) is equivalent to 3.1 - 0.3x, which corresponds to option D.
-6(1/4x-2/3x+5/6x)
A -x
B 2x
C -2 1/2x
D 3/4x
To simplify the expression -6(1/4x - 2/3x + 5/6x), we need to distribute the -6 to each term inside the parentheses:
-6 * 1/4x - 6 * 2/3x + 6 * 5/6x
This simplifies to:
-6/4x + (-6 * 2/3x) + (6 * 5/6x)
Further simplification:
-3/2x + (-12/3x) + 5/1x
Combining like terms:
(-3/2x - 12/3x + 5/1x)
To add or subtract these fractions, we need a common denominator. The least common multiple of 2, 3, and 1 is 6.
-3/2x can be written as -9/6x
-12/3x can be written as -24/6x
5/1x can be written as 30/6x
Now we can combine the fractions:
(-9/6x - 24/6x + 30/6x)
This simplifies to:
(-3/6x)
Simplifying the fraction further by dividing the numerator and denominator by their greatest common divisor, which is 3:
(-1/2x)
Therefore, the simplified expression is -1/2x, which corresponds to option A.
SIMPLIFY
-1/2(-6x+3)
A-3x-3
B -3x+3/2
C 3x+3
D 3x-3/2
To simplify the expression -1/2(-6x + 3), we need to distribute the -1/2 to each term inside the parentheses:
-1/2 * (-6x) + -1/2 * 3
This simplifies to:
3x - 3/2
Therefore, the simplified expression is 3x - 3/2, which corresponds to option D.
Simplify
simplify
11-9(-2x-3)
A -4x-6
B18x-38
C -4X+6
D 18x+38
To simplify the expression 11 - 9(-2x - 3), we need to distribute the -9 to each term inside the parentheses:
11 - 9 * -2x - 9 * -3
Simplifying further:
11 + 18x + 27
Combining like terms:
18x + 38
Therefore, the simplified expression is 18x + 38, which corresponds to option D.
FACTOR THIS EXPRESSION COMPLETELY
35x-40
A 7(5x+8)
B 7(5x-8)
C 5(7x+8)
D 5(7x-8)
To factor the expression 35x - 40 completely, we can start by finding the greatest common factor (GCF) of the terms. The GCF of 35x and 40 is 5.
Next, we can divide both terms by 5:
35x/5 - 40/5
This simplifies to:
7x - 8
Therefore, the factored form of the expression 35x - 40 is 5(7x - 8), which corresponds to option D.