To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, −4/17 ÷ −3/4 can be written as:
−4/17 * 4/-3
Multiplying the numerators and denominators, we get:
-4 * 4 / (17 * -3)
Simplifying, we have:
-16 / -51
The final answer is 16/51.
Divide. −4/17÷−3/4 (1 point)
21 answers
Simplify. 11−9(−2x−3) (1 point)
To simplify the expression 11 - 9(-2x - 3), we need to apply the distributive property.
Multiplying -9 by -2x gives us 18x, and multiplying -9 by -3 gives us 27.
So, the expression becomes:
11 + 18x + 27
Combining like terms, we have:
38 + 18x
So, the simplified expression is 38 + 18x.
Multiplying -9 by -2x gives us 18x, and multiplying -9 by -3 gives us 27.
So, the expression becomes:
11 + 18x + 27
Combining like terms, we have:
38 + 18x
So, the simplified expression is 38 + 18x.
Factor this expression completely. 35x−40
To factor the expression 35x - 40, we can look for common factors that can be pulled out.
First, we can see that both terms have a common factor of 5. So, we can write:
35x - 40 = 5(7x - 8)
Next, we check if the expression inside the parentheses (7x - 8) can be factored further, but it cannot be simplified any further.
Therefore, the completely factored expression is 5(7x - 8).
First, we can see that both terms have a common factor of 5. So, we can write:
35x - 40 = 5(7x - 8)
Next, we check if the expression inside the parentheses (7x - 8) can be factored further, but it cannot be simplified any further.
Therefore, the completely factored expression is 5(7x - 8).
Which factorization is equivalent to this expression? −42k−54 (1 point)
To factor the expression −42k−54, we need to find common factors that can be pulled out.
First, we can see that both terms have a common factor of -6. So, we can write:
−42k−54 = -6(7k + 9)
Therefore, the equivalent factorization of the expression −42k−54 is -6(7k + 9).
First, we can see that both terms have a common factor of -6. So, we can write:
−42k−54 = -6(7k + 9)
Therefore, the equivalent factorization of the expression −42k−54 is -6(7k + 9).
Factor the expression completely. 100x+1000 (1 point)
To factor the expression 100x + 1000, we can first look for common factors. Both terms have a common factor of 100.
So, we can write:
100x + 1000 = 100(x + 10)
The expression x + 10 cannot be factored any further.
Therefore, the completely factored expression is 100(x + 10).
So, we can write:
100x + 1000 = 100(x + 10)
The expression x + 10 cannot be factored any further.
Therefore, the completely factored expression is 100(x + 10).
Simplify. 3−(4x−5)+6 (1 point)
To simplify the expression 3 - (4x - 5) + 6, we need to apply the distributive property.
So, first, distribute the negative sign to the terms inside the parentheses:
= 3 - 4x + 5 + 6
Combine like terms:
= (3 + 5 + 6) - 4x
= 14 - 4x
The simplified expression is 14 - 4x.
So, first, distribute the negative sign to the terms inside the parentheses:
= 3 - 4x + 5 + 6
Combine like terms:
= (3 + 5 + 6) - 4x
= 14 - 4x
The simplified expression is 14 - 4x.
Ella Grace bought 5 plants for her backyard for $20 each and 3 chairs for her firepit for $20 each. She used this expression to calculate the total amount she spent. (5⋅20)+(3⋅20) What is another expression to calculate the total amount spent? (1 point)
Another expression to calculate the total amount spent would be:
5 * $20 + 3 * $20
This expression represents the quantity of plants (5) multiplied by the cost per plant ($20) plus the quantity of chairs (3) multiplied by the cost per chair ($20).
5 * $20 + 3 * $20
This expression represents the quantity of plants (5) multiplied by the cost per plant ($20) plus the quantity of chairs (3) multiplied by the cost per chair ($20).
are you sure
Apologies for any confusion caused. The correct expression to calculate the total amount spent is:
5 * $20 + 3 * $20
This expression represents the calculation of the total cost of the 5 plants ($20 each) plus the total cost of the 3 chairs ($20 each).
5 * $20 + 3 * $20
This expression represents the calculation of the total cost of the 5 plants ($20 each) plus the total cost of the 3 chairs ($20 each).
Simplify the expression. 0.625+3/4 (1 point)
To simplify the expression 0.625 + 3/4, we need to find a common denominator and then combine the fractions.
The denominator of 0.625 is 1, so we can rewrite it as 0.625/1.
To find a common denominator, the easiest option is to convert 0.625 to an equivalent fraction with a denominator of 4:
0.625 * 4/4 = 2.5/4
Now, we can add the two fractions:
2.5/4 + 3/4 = (2.5 + 3)/4 = 5.5/4
Therefore, the simplified expression is 5.5/4.
The denominator of 0.625 is 1, so we can rewrite it as 0.625/1.
To find a common denominator, the easiest option is to convert 0.625 to an equivalent fraction with a denominator of 4:
0.625 * 4/4 = 2.5/4
Now, we can add the two fractions:
2.5/4 + 3/4 = (2.5 + 3)/4 = 5.5/4
Therefore, the simplified expression is 5.5/4.
wrong
Apologies for the incorrect response. Let's simplify the expression correctly.
To simplify 0.625 + 3/4, we need to find a common denominator.
The denominator of 0.625 is 1, so we can rewrite it as 0.625/1.
To find a common denominator, we can multiply the fraction 3/4 by 1 in the form of 4/4:
0.625 + (3/4) * (4/4) = 0.625 + 12/16
Now, we have a common denominator of 16.
We can add the fractions:
0.625 + 12/16 = (0.625 * 16/16) + 12/16 = 10/16 + 12/16
Next, we combine the numerators:
10/16 + 12/16 = 22/16
Finally, we simplify the fraction:
22/16 can be reduced to 11/8.
Therefore, the simplified expression is 11/8.
To simplify 0.625 + 3/4, we need to find a common denominator.
The denominator of 0.625 is 1, so we can rewrite it as 0.625/1.
To find a common denominator, we can multiply the fraction 3/4 by 1 in the form of 4/4:
0.625 + (3/4) * (4/4) = 0.625 + 12/16
Now, we have a common denominator of 16.
We can add the fractions:
0.625 + 12/16 = (0.625 * 16/16) + 12/16 = 10/16 + 12/16
Next, we combine the numerators:
10/16 + 12/16 = 22/16
Finally, we simplify the fraction:
22/16 can be reduced to 11/8.
Therefore, the simplified expression is 11/8.
Divide. −4/17÷−3/4 (1 point)
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, −4/17 ÷ −3/4 can be written as:
(-4/17) * (4/-3)
When dividing, we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction:
(-4 * 4) / (17 * -3)
Simplifying, we have:
-16 / -51
Since the numerator and denominator are both negative, the double negatives cancel out, resulting in a positive fraction. Therefore, the final answer is:
16/51.
So, −4/17 ÷ −3/4 can be written as:
(-4/17) * (4/-3)
When dividing, we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction:
(-4 * 4) / (17 * -3)
Simplifying, we have:
-16 / -51
Since the numerator and denominator are both negative, the double negatives cancel out, resulting in a positive fraction. Therefore, the final answer is:
16/51.