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3 years ago

34(8x – 6) – 2 = 12 – x

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

sorry for my handwriting

i think this is the correct answer

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Determine the slope of the line.

Akimi4 [234]

Answer:

Step-by-step explanation:

→ Find 2 points from the line

( 0 , 6 ) and ( - 3 , 0 )

→ Find the change in y coordinates

0 - 6 = -6

→ Find the change in x coordinates

-3 - 0 = -3

→ Divide the 2 results

-6 ÷ -3 = 2

7 0

2 years ago

SECTION 1-1 PRACTICE

Tasya [4]

Answer:

Your straight-time pay is $195.

Step-by-step explanation:

a) Data and Calculations:

Employee Regular Hourly Rate х Hours Worked = Straight-Time Pay

Wright, S. $8.00 36

Reardon, E. 7.50 18

Levitt, R. 16.20 30

Maguire, M. 10.25 243

Reyes, A. 14.525 31.125

Vadola, G. 26.675 25.625

b) If you earn $6.50 per hour and work 30 hours this week, your straight-time pay is $195 ($6.50 * 30). The straight-time pay is determined by multiplying the number of hours worked in a period by the hourly rate.

8 0

3 years ago

one number is 7 more than twice the other number. if the sum of the two numbers is 19, find the two numbers

topjm [15]

Answer:

4 and 15

Step-by-step explanation:

Let the two numbers be a and b.

The sum of the two is 19. Therefore:

$a+b=19$

One number (let's use a) is 7 <em>more</em> than twice the other. Thus:

$a=7+2b$

Solve for the system of equations. Substitute the second equation into the first:

$a+b=19\\(7+2b)+b=19$

Subtract 7 from both sides:

$2b+b=12$

Combine like terms:

$3b=12$

Divide by 3:

$b=4$

So, b is 4.

And since they add up to 19, this means that a is:

$a+b=19\\a+4=19\\a=15$

So our numbers are 4 and 15

And we are done :)

8 0

4 years ago

A square pyramid has base area 64 square centimeters. The surface area of this pyramid is 224 square centimeters. Find the heigh

dolphi86 [110]

Answer:

$h \approx 12.7\,cm$

Step-by-step explanation:

The side of the square base is:

$l = \sqrt{64\,cm^{2}}$

$l = 8\,cm$

The formula for the surface area of the pyramid is:

$A_{s} = \frac{1}{2}\cdot (3\cdot l)\cdot \sqrt{0.25\cdot l^{2}+h^{2}} + l^{2}$

The height is cleared in the previous expression:

$A_{s} - l^{2} = \frac{3}{2}\cdot l\cdot \sqrt{0.25\cdot l^{2}+h^{2}}$

$\frac{2}{3}\cdot \frac{A_{s}-l^{2}}{l} = \sqrt{0.25\cdot l^{2} + h^{2}}$

$\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} = \frac{1}{4} \cdot l^{2} + h^{2}$

$h = \sqrt{\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} - \frac{1}{4}\cdot l^{2}}$

$h = \sqrt{\frac{4}{9}\cdot \left[\frac{224\,cm^{2}-(8\,cm)^{2}}{8\,cm}\right]^{2}-\frac{1}{4}\cdot (8\,cm)^{2} }$

$h \approx 12.7\,cm$

6 0

3 years ago

What is the simplest form of this expression? 2a^2b^2/4a

Alisiya [41]

$\cfrac{2a^2b^2}{4a} = \cfrac{ab^2}{2}$

7 0

3 years ago