MATHEMATICS HIGH SCHOOL

Which of the following expressions shows the expression 1/2x+3−2/5x+1 in simplest form?

Answers

Answer 1
Answer:

Hey there!

1/2x + 3 - 2/5x + 1

COMBINE the LIKE TERMS

= (1/2x - 2/5x) + (3 + 1)

1/2x - 2/5x = 1/10x

3 + 1 = 4

= 1/10x + 4

Therefore, your answer is: 1/10x + 4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)
Answer 2
Answer:

Answer:

\huge\boxed{(1)/(2)x+3-(2)/(5)x+1=(1)/(10)x+4}

Step-by-step explanation:

(1)/(2)x+3-(2)/(5)x+1\n\n=\left((1)/(2)x-(2)/(5)x\right)+(3+1)\n\n=\left((1\cdot5)/(2\cdot5)x-(2\cdot2)/(5\cdot2)x\right)+4\n\n=\left((5)/(10)x-(4)/(10)x\right)+4\n\n=(1)/(10)x+4

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Mr. Ferrier invested $26,000. Some was invested in bonds that made a 5% profit, and the rest was put in stocks that made an 8% profit. How much did mr. Ferrier invest in bonds if his total profit on both types of investments was $1,420

Answers

Answer:

$22000

Step-by-step explanation:

x*0.05+(26000-x)*0.08= 1420

0.05x - 0.08x + 2080= 1420

0.03x=2080 -1420

0.03x= 660

x= 660/0.03

x= 22000

$22000 = 5% bonds

$4000 = 8% stocks

Answer:

bonds=22000

stock=4000

Step-by-step explanation:

let b  for bonds , and s for stock

b+s=26000

0.05 b +0.08 s=1420

to solve (by elimination)

1- multiply first equation with 0.05 to eliminate b

0.05 b+0.05 s=1300

0.05b+0.08s=1420

subtract two equations:

0.05b+0.05s-0.05b-0.08s=1300-1420

-0.03s=-120

s=120/0.03=4000

b+s=26000

b=26000-4000=22000

check:0.05(22000)+0.08(4000)=1420

Volume of a cone is 593.46 cubic in, the radius is 9in what is the height to the nearest inch?

Answers

equation for volume of cone: v = π*r²*(h/3)
substitute the variables with the known number values:
593.46 = V
r = 9
Solve for h
(593.46) = π*(9)²*(h/3)
Solve for h! :-)

Find the slope of the line that passes through (4,5) and (9,8)

Answers