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mamaluj [8]
2 years ago
5

Simplify the expression by arranging the steps in sequence based on the order of operations 1/6(30x+24)-1/7(63-7×)

Mathematics
1 answer:
alex41 [277]2 years ago
7 0

Answer:

6x-5

Step-by-step explanation:

We apply distributive property to get rid of the first parenthesis, by multiplying each term inside by the factor 1/6:

\frac{1}{6} (30x+24)-\frac{1}{7} (63-7x)\\\frac{30}{6} x+\frac{24}{6} -\frac{1}{7} (63-7x)\\5x+4-\frac{1}{7} (63-7x)

now we get rid of the second parenthesis by multiplying the factor "-\frac{1}{7}" times each of the terms inside the parenthesis (notice here that this factor is negative , so it will flip the signs of the terms it multiplies):

5x+4-\frac{1}{7} (63-7x)\\5x+4-\frac{63}{7} +\frac{7}{7} x\\5x+4-9+x

Next we combine like terms:

5x+4-9+x\\5x+x+4-9\\6x-5

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Alex17521 [72]

Answer:

B -3.

Step-by-step explanation:

The slope = (y2-y1)/(x2-x1)

= (-2-4)/(8-6)

= -6/2

= -3.

3 0
3 years ago
Convert the decimal expansion 0.1777 into a rational number
Helen [10]

Answer:

The rational form of the given number 0.1777  = \frac{1777}{10,000}

Step-by-step explanation:

The rational number is expressed as a number on the form of (\frac{p}{q} ) , q \neq 0

Now,here the given number in decimal form = 0.1777

To remove the decimal, firstly count the number of digits AFTER DECIMAL.

Here, number of digits after decimal = 4

SO, the decimal can be removed and replaced by 1 , by dividing with 1,0000.

\implies 0.1777  = \frac{01,777} {10,000}  = \frac{1777}{10,000}

Hence, the rational form of the given number 0.1777  = \frac{1777}{10,000}

5 0
3 years ago
Find the value of x (picture provided)
Ivan

Answer:

x = 53

Step-by-step explanation:

The two angles identified are alternate exterior angles.  Since the lines are parallel, alternate exterior angles are equal.

2x+15 = 3x-38

Subtract 2x from each side

2x-2x+15 = 3x-2x-38

15 = x-38

Add 38 to each side

15+38 = x-38+38

53 = x

5 0
3 years ago
Read 2 more answers
Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2
Aleksandr [31]

Answer:

a=\frac{3}{x^{2} }

b=5

Step-by-step explanation:

we are given

\frac{3}{x} }+\frac{5}{x^{2} }=ax+\frac{b}{x^{2} }

we will compare both sides of equaion

 \frac{b}{x^{2} }=\frac{5}{x^{2} }

comparing both sides we get

b=5

and

\frac{3}{x} }=ax

a=\frac{3}{x^{2} }

hence

a=\frac{3}{x^{2} }

and   b=5

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3 years ago
Find the circumference of a circle whose.<br> A. Diameter is 14cm<br> B. Radius is 3.5cm
Nikitich [7]

Hello!

Circumference of a Circle

C=πd

or

C=2πr

Plug in the values

C=14π

C≈44 cm

C=2π×3.5

C≈22 cm

Hope everything is clear.

Let me know if you have any questions!
#KeepLearning

;-)

5 0
2 years ago
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