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FinnZ [79.3K]
3 years ago
11

Phil gets a commission of 25% on all sales. he sold $1500.00 worth of goods. what was the amount of his paychec

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
375. 25% of 1500 is 375. You multiply 1500 by .25 to get your answer. When finding percentages of totals, you move the decimal place two places to the right of the percentage and multiply it by the total you need to find the percentage of.
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5/6(2x+12)-8=4-(x+1)
alekssr [168]

For this case we have the following equation:

\frac {5} {6} (2x + 12) -8 = 4- (x + 1)

We apply distributive property on the left side of the equation:

\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)

We simplify the left side of the equation:

\frac {5} {3} x + 10-8 = 4- (x + 1)

Different signs are subtracted and the major sign is placed.

\frac {5} {3} x + 2 = 4- (x + 1)

On the right side we must take into account that:

- * + = -

So:

\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x

We add x to both sides of the equation:

\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3

We subtract 2 from both sides of the equation:

\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1

We multiply by 3 on both sides of the equation:

8x = 3

We divide by 8 on both sides of the equation:

x = \frac {3} {8}

Thus, the solution of the equation is:

x = \frac {3} {8}

Answer:

x = \frac {3} {8}

4 0
3 years ago
Two sides of a triangle measure 25 cm and 35 cm. What is the meadure of the third side?
SpyIntel [72]

Answer:

43cm

Step-by-step explanation:

use the pythagorean theorem:

a² + b² = c²

25² + 35² = c²

625 + 1225 = c²

1850 = c²

√1850 = c

43 cm = c

your a, b and c values depend on where the values are on the triangle.

4 0
3 years ago
A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q.
Annette [7]

The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)

<h3>What is a line segment?</h3>

A line segment is a straight line that passes through two given points.

The end points of the line determine how long or short a given line segment would be.

Analysis:

point Q(x, y )

x = \frac{MX1 + NX2}{M+N}

y = \frac{MY1 + MY2}{M+N}

where M :N = 4:1

x1 = 2, x2 = 4, y1 = -1, y2 = 2

x = \frac{4(2) +1(4)}{4+1} = 12/5

y = \frac{4(-1) + 1(2)}{4+1} = -2/5

In conclusion, the point Q is (12/5, -2/5).

Learn more about line segment: brainly.com/question/2437195

#SPJ1

3 0
2 years ago
A jewelry maker purchased 20 inches of gold chain.She used 3/8 of the chain for a bracelet. How many inches of gold did she have
Mazyrski [523]

Answer:

12.5 inches of gold chain.

Step-by-step explanation:

To get the remaining chain of gold we need to calculate

8/8 - 3/8 = 5/8 of 20 inches

then multiply:

20 * 5/8 =  100/8

100/8 = 12.5 inches

7 0
3 years ago
What is 15x-7y=-8 in slope intercept form
Kamila [148]

Answer:63

Step-by-step explanation:

7 0
3 years ago
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