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hodyreva [135]
3 years ago
12

Solve for x Your answer must be simplified. x/-6 ≥−20

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer: x ≤ 120

Step-by-step explanation: To get <em>x</em> by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6 just like we would if we were solving an equation.

But here is the trick you have to

watch out for with inequalities.

When you <em>multiply</em> or <em>divide</em> both sides of an inequality by a

negative, you must switch the direction of the inequality sign.

So our second step in this problem reads<em> x ≤ 120</em>.

Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.

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HELP YOU WILL GET 30 POINTS Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading
Bess [88]
<h3>Answers:</h3>

total number of pages = 550 pages

total amount of time to read the full book = 10 hours

======================================================

Work Shown:

1 hour = 55 pages

4 hours = 220 pages ... multiply both sides by 4

After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall

550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.

While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.

6 0
3 years ago
Read 2 more answers
Both questions please
Nataly [62]
Let there be h 50 cent coins (call them halfs), d 10 cent coins (dimes) and n 5 cent coins (nickles).  

81 coins:

h+d+n=81

Three more dimes than halfs:

d=h+3

Nickels are twice halfs plus dimes:

n=2(h+d)

Three equations in three unknowns.  We'll eliminate n first:

n=81-(h+d)=2(h+d)

81=3(h+d)

h+d=27

Substituting d=h+3

h+h+3=27

2h=24

h=12

d=h+3=15

n=2(h+d)=2(27)=54

Check we have the right number of coins:

h+d+n=12+15+54=81 \quad\checkmark

Good.   The amount of money is

50h+10d+5n=0.50(12)+0.10(15)+0.05(54)=\$10.20

Part 2.

a for amount Tim gave cousin.  Initially Tim has $146.65, cousin $10.55

After he gave the money Tim had twice as much:

146.65 - a = 2(10.55 + a)

146.65 - a = 21.10 + 2a

146.65 - 21.10 = 3a

a = \dfrac{146.65 - 21.10}{3}= 41.85

That's the answer to b.  After the transfer the cousin has 10.55+41.85=\$52.40


4 0
3 years ago
Help me please. Show a lil work please.......
Masteriza [31]

Answer:

J) -4.5

Step-by-step explanation:

-12x=54

x=54÷(-12)

x=-4.5

3 0
3 years ago
Read 2 more answers
14х – бу = 66<br> Find the slope and y intercept
Pepsi [2]

Answer:

Slope: 7/3 | Y Intercept: -11

Step-by-step explanation:

To translate this equation into a slope-intercept form equation, we can subtract 14x on both sides. This leaves us with: -6y = -14x + 66.

Now, all that is preventing us from putting it into the correct from is -6, so we can simply divide -6 on both sides. Using this operation, we get: y = 14x/6 + -11. The coefficient of x in this problem stands for slope, so the slope is: 14/6 or 7/3. The constant stands for y intercept, so that is -11.

Hope you understood and do well!

4 0
4 years ago
A circle is placed in a square with a side length of 18 mm, as shown below. Find the area of the shaded region.
finlep [7]
Answer: the shaded region = 69.66mm^2

Explanation:
Assume shaded region is X
Then :
X + Area of circle = area of square
X = area of square - area of circle

Find area of square:
Side length = 18mm
Area = 18 x 18 = 324

Find area of circle:
Side length of a square = the diameter of the circle = 18mm
And r(radius) = d/2 = 18/2 = 9
Area = pi x 9^2 = 254.34

Now find X
X = 324 - 254.34 = 69.66
3 0
3 years ago
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