130:2x10−(23x−204)=?
\( 130:\frac{10}{2x}-(23x-204)=\text{?} \)
\( 300:(20\cdot8)-(13+200)=\text{?} \)
\( 28:(210:15)-(12+42)=\text{?} \)
\( 39:(x\cdot3)+\frac{y}{x}:\frac{y}{4}=\text{?} \)
\( 35-(400:\frac{20}{13}-12)=\text{?} \)
To solve the given expression , follow these steps:
Therefore, the solution to the problem is . This matches option 1 from our choices, confirming it as the correct answer.
To solve the problem , follow these steps:
Therefore, the solution to the problem is , which corresponds to choice 3.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Compute .
Step 2: Compute .
Step 3: Compute the division .
Step 4: Finally, compute the subtraction .
Therefore, the solution to the problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Simplify .
This is equivalent to .
Step 2: Simplify .
This is equivalent to .
Step 3: Add the results from Steps 1 and 2.
We have:
Simplifying further, find a common denominator for the fractions, which is :
.
Therefore, the solution to the problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Evaluate the division . Division by a fraction is the same as multiplying by its reciprocal, so we have:
Step 2: Now subtract 12 from 260:
Step 3: Finally, subtract the result from 35:
Thus, the solution to the problem is .
\( 1-(4\cdot13\cdot7:\frac{2}{26}-13\cdot13\cdot7\cdot4)=? \)
\( 3x-(y\cdot z+3z:\frac{z}{x})=\text{?} \)
\( 48:\frac{10}{x}-(x+5)=\text{?} \)
\( 35-(82-39:(3\cdot2))=\text{?} \)
\( 124-(38-92)-(56+33)=\text{?} \)
To solve this problem, we'll follow these steps:
Therefore, the solution to the problem is .
1
To solve this problem, we begin by simplifying the expression inside the parentheses: .
First, evaluate the division: . This can be simplified by multiplying by the reciprocal, yielding .
The expression inside the parentheses becomes .
Now substitute this back into the entire expression: .
Apply the distributive property to the negative sign, resulting in: .
Combine like terms: simplifies to .
Thus, the solution to the given expression is .
Let's solve the expression .
Step 1: Change the division to multiplication by the reciprocal.
We have .
Simplifying this, we obtain:
.
Step 2: Incorporate the subtraction operation.
We now have .
Distribute the negative sign:
This gives us .
Step 3: Combine like terms.
Simplifying further, we have:
.
Thus, we end with:
.
Therefore, the solution to the problem is .
Upon reviewing the given choices, choice 1 corresponds to our calculated result: .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Evaluate the multiplication inside the parentheses.
The expression is , which equals .
Step 2: Perform the division inside the parentheses.
Substitute the result into , which is .
Step 3: Simplify the expression inside the parentheses by performing the subtraction.
The expression becomes .
Step 4: Subtract the result from 35.
Hence, .
Therefore, the solution to the problem is , which corresponds to the first choice given in the possible answers as .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Calculate .
This results in .
Step 2: Calculate .
This equals .
Step 3: Substitute these values into the original expression:
.
Therefore, the solution to the problem is .
89
\( 78-(39-47)-(95+3:\frac{3}{5})=\text{?} \)
\( -55-(-94-(-32))+12:\frac{3}{4}=\text{?} \)
\( -450:\frac{50}{-3}-((-3x)+(-14))=\text{?} \)
\( \frac{1}{2}-(\frac{1}{4}:\frac{8}{9}+\frac{3}{4}:(4\cdot3))=\text{?} \)
\( abc-(ab:\frac{2}{c}+ab^2c^2:(b\cdot c))=\text{?} \)
To solve the problem , follow these steps:
Thus, the solution to the problem is .
To solve this problem, we'll follow these steps:
Step 1: Simplify the nested expressions and handle the negative signs.
Step 2: Perform the division operation involving the fraction.
Step 3: Combine the results from the two operations.
Now, let's work through each step:
Step 1: Address the nested subtraction.
First, simplify the innermost expression: .
Recall that subtracting a negative is equivalent to addition: .
Now substitute this result back into the main expression: .
Again, subtracting a negative is addition: .
Step 2: Resolve the division by a fraction.
Calculate :
Dividing by a fraction is equivalent to multiplying by its reciprocal: .
Step 3: Combine results.
Now we add the results from steps 1 and 2: .
Therefore, the solution to the problem is .
To solve the given expression, we'll simplify it step-by-step:
Therefore, the solution to the problem is .
To solve this problem, we'll follow these equations:
Therefore, the solution to the problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Simplify each term inside the parentheses
First, consider the term . This can be rewritten using the division of a fraction as .
Next, consider . This simplifies to:
which yields .
Step 2: Calculate the entire expression
We now substitute back these simplified terms into the expression:
The next step is to combine the terms inside the parentheses:
Substituting back into the main expression, we have:
We can now rewrite the subtraction:
Let's recombine these terms over a common denominator:
Simplify the terms:
It turns out the simplification simplifies directly:
This is consistent with the provided correct answer.
Therefore, the solution to the problem is .
\( 27-(140:\frac{35}{3}+360:(8\cdot9))=\text{?} \)
\( 18-((560:\frac{70}{3}-14)-9)=\text{?} \)
\( 35:(7\cdot5)-(2+9:\frac{3}{2})=\text{?} \)
\( 79-(35-(-9))-(10+43)=\text{?} \)
\( 84:(2\cdot7)-(63-2x)=\text{?} \)
The problem asks us to evaluate the expression .
Following the order of operations (PEMDAS/BODMAS), we first focus on operations within the parentheses.
Calculate each division inside the parentheses:
Simplifying :
Now, calculate the second division:
So, our expression within the parentheses simplifies to:
Now go back to the main expression: .
Calculate the final subtraction:
Thus, the solution to the problem is .
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Evaluate . This is equivalent to .
Step 2: Perform the multiplication: .
Step 3: Simplify . This results in .
Step 4: Calculate . This equals .
Step 5: Subtract this from 18: .
Therefore, the answer to the problem is .
To solve this problem, we'll follow these steps according to the order of operations:
Now, let's solve the expression:
Step 1: Calculate the multiplication: .
Step 2: Calculate the division: . We use the reciprocal of .
Step 3: Substitute back into the original expression: .
Step 4: Simplify the division: .
Step 5: Calculate the subtraction: .
Therefore, the solution to the problem is .
7-
To solve this problem, let's simplify the expression :
First, evaluate the expression inside the first parentheses:
Second, evaluate the expression inside the second parentheses:
Now substitute these values back into the original expression:
Finally, perform the subtraction sequentially:
Therefore, the solution to the expression is .
Checking against the given choices, the correct choice is:
18-
To solve the expression , we shall simplify step-by-step as follows:
Therefore, the expression simplifies to .