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inysia [295]
3 years ago
13

I think of a number. If I divide the sum of 6 and the number by 3,the result is 4 more than one quarter of the number. Find the

number.
Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

24

Step-by-step explanation:

Let the number be x.

Sum of the number and 6: 6+x

Divide it by 3: \frac{6+x}{3}

Result is 4 more than one quarter of the number:

\frac{6+x}{3} =4+\frac{1}{4} x

Multiply both sides by 12:

\frac{6+x}{3}\cdot \:12=4\cdot \:12+\frac{1}{4}x\cdot \:12

Simplify:

4\left(x+6\right)=48+3x

Expand:

4x+24=48+3x

Subtract 24 from both sides:

4x+24-24=48+3x-24

4x=3x+24

Subtract 3x from both sides:

4x-3x=3x+24-3x

x=24

The number is 24.

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Factorize x squared - 1x +10 =0
Natalka [10]

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

6 0
3 years ago
An item has a listed price of $75. If the sales tax rate is 3%, how much is the sales tax (in dollars)?
Daniel [21]

Answer:

Net Price: $ 75.00

+ Sales Tax (3%): $ 2.25

Total Price: $ 77.25

5 0
3 years ago
By the Triangle Inequality Theorem, If two sides of a triangle have lengths of 3 and 7, what are all the possible lengths of the
Charra [1.4K]
If you do
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7 0
3 years ago
Read 2 more answers
PLSS HELP ILL GIVE POINTS!!!!
Gala2k [10]

Answer:

y=16x+36

Step-by-step explanation:

cleaning services start at $36 for one hour and add $16 to total price per hour.

16(1)+36=52

16(2)+36=68

16(3)+36=84

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4 0
3 years ago
Determine if the linear system
zubka84 [21]

Answer:

b. The system is not in echelon form because the system is not organized in descending "stair step" pattern so that the index of the leading variables increases from the top to bottom.

Step-by-step explanation:

The given linear system has a equation which is not in echelon form. The echelon is a system which divides the data into rigid hierarchal groups. The given linear equation in not in echelon form as the leading variables are increased from top to bottom indicating descending stair step pattern.

4 0
3 years ago
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