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stich3 [128]
3 years ago
6

What are the solutions of 3d-<-10or 2d+7>9?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

3d < -10\ \vee\ 2d+7 > 9\\\\(1)\qquad3d < -10\ \ \ \ |:3\\.\qquad \qquad d < -\dfrac{10}{3}\\\\(2)\qquad2d+7 > 9\ \ \ \ |-7\\.\qquad\qquad2d > 2\ \ \ \ |:2\\.\qquad\qquad d > 1\\\\Answer:\ d < -\dfrac{10}{3}\ \vee\ d > 1\to d\in\left(-\infty,\ -\dfrac{10}{3}\right)\ \cup\ (1,\ \infty)

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luda_lava [24]
You could do :
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;) good luck !!
3 0
3 years ago
Kiera and Trina joined a gym. The gym offers two different payment plans. Kiera chose Plan 1 and pays $25 a month and no fee to
Lady_Fox [76]

Answer:

t1 = $25m

t2 = $(10m + 100)

Step-by-step explanation:

Here we want to write equations

Kiera chose plan 1

$25 monthly and no joining fee

So the amount after m months will be 25 * m

t1 = $25m

Trina chose plan 2

$10 a month and $100 joining fee

after m months , total payment will be

10(m) + 100 = $(10m + 100)

Thus t1 = $25m and t2 = $(10m + 100)

6 0
3 years ago
Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air? Round to the near
Minchanka [31]

Answer:

17.85 cm

Step-by-step explanation:

1) Area of a sphere formula: A=4\pi r^{2}

2) Plug in A: 1000 = 4\pi r^{2}

3) Simplify: 1000 = 12.56r^{2}

4) Divide Each Side By 12.56: 79.61783439 = r^{2}

5) Take the Square Root of 79.61783439 to Solve for r: 8.922882628 = r

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8 0
3 years ago
Mrs cunningham wants to use rubber tiles to cover the floor of an indoor playground
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4 0
2 years ago
Josh volunteered at the zoo for 14 hours in one month. This was 3 1/2 times as many hours as Gina volunteered. How many hours di
jonny [76]
This one you can't really make a formula for or anything, but it's fairly simple to figure out, with a bit of guess and check.
14 is really close to 15, but that's bigger, so let's try a smaller number that would work.
It has to be divisible by 2, because you've got a whole number that is 3 1/2 times the other number. (1/2 of a whole number means it's divisible by 2).
10 is divisible by 2,
10 ÷ 2 = 5
But, 10 x 3 = 30 which is much bigger than 14.
So, we've got to start with a smaller number.
Let's try something really small, like 4. We could try 2, but 2 x 3 = 6, which, even with 1/2 of 2, isn't nearly close to 14.
Now, 4 x 3 = 12
That's quite close to 14.
And 1/2 of 4 is 2.
All we do now is add 12 to 2 and see if it works.
12 + 2 = 14
14 = 14
This one works.
That means that Gina volunteered for 4 hours, because 3 1/2 x 4 = 14.
5 0
3 years ago
Read 2 more answers
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