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aev [14]
2 years ago
7

What number line represents the solution to the inequality below-6< -2x

Mathematics
1 answer:
aliina [53]2 years ago
4 0

Answer:

The answer is 3 or x<3.

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PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe
antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

x+y=y^2-5       ...(ii)

Put value of x from (i) in (ii)

\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

7 0
2 years ago
Can someone explain these two math questions to me?<br><br> −2 + 4 ⋅ 32 − 6<br><br> 5 + 42 ÷ 2(3)
zepelin [54]
The first one would be 120 the second one would be 68
8 0
3 years ago
Read 2 more answers
Greg spent 6.4 hours working with his dad one Saturday. If his dad paid him$45.76, how much did Greg make per hour?
nordsb [41]

Answer:

$7.15

Step-by-step explanation:

The best way to solve this is by crossing out the data you don't need so you're left looking at the key pieces to put the equation together. If his dad paid him $45.76 for 6.4 hours, then all you need to do is divide 45.76 by 6.4. (Hint: Use a calculator, it makes it ten times faster than trying to write it out!)

45.76 ÷ 6.4 = 7.15

So Greg made $7.15 an hour working with his dad.

6 0
3 years ago
4/10 divided by 3/10
andrew-mc [135]

Answer:

4/3

Step-by-step explanation:

4/10 / 3/10

4/10 * 10/3

The 10s cancel out and you are left with

4/3

6 0
3 years ago
Mary Sweet works in a pizza store where busiest days fall on the weekend.
aliya0001 [1]

Answer:

$10.75 x 3 1/2 = $37.625 (rounded to the nearest cent: $37.63). $10.75 x 5 = $53.75. $37.625 + $53.75 = $91.375. (rounded to the nearest cent: $91.38) hope this helps

Step-by-step explanation:

- Zombie

4 0
2 years ago
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