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LuckyWell [14K]
3 years ago
14

What is the solution set of this inequality?

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

A.

x\ge \:4

Step-by-step explanation:

8(x-5) -3x\geq -20\\\\\mathrm{Expand\:}8\left(x-5\right)-3x:\quad 5x-40\\\\5x-40\ge \:-20\\\\\mathrm{Add\:}40\mathrm{\:to\:both\:sides}\\\\5x-40+40\ge \:-20+40\\\\Simplify\\\\5x\ge \:20\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x}{5}\ge \frac{20}{5}\\\\Simplify\\\\x\ge \:4

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You roll a dice twice.<br> Find the probability of getting 3 in first throw and 5 in second throw.
Debora [2.8K]

Answer:

1/6

Step-by-step explanation:

there are 6 faces on a dice so there's a 1 in 6 chance that you would roll a 3 on your second go there is still only a 1 out of 6 chance of getting a 5 because there is still 6 numbers you could roll on.

hope this helped

8 0
3 years ago
Write the equation of the line?<br><br><br><br> write the equation in standard form.
vlabodo [156]
Answer: y= 1

This because the line has no slope so the equation really looks like this if we were to follow the y=mx+b format.

y=mx+b
y= 0x + b

because the number "0" multiplied by any value is still zero we can exlude that from the final equation of the line. In this case since m=0, the line is y=b.

b is the y intercept, or the value of y when x = 0.

So, because y=1 when x is 0, "b"= 1

y=b
y=1

Any questions?
5 0
3 years ago
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can
Lelu [443]

Answer:

2l + 2w = 48

if garden is 15' long

2(15) + 2w = 48 \\ 30 + 2w = 48 \\ 30 - 30 + 2w = 48 - 30 \\ 2w = 18 \\  \frac{2w}{2}  =  \frac{18}{2}  \\ w = 9 \: feet \: wide

7 0
3 years ago
An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16
rjkz [21]
Part 1:

Given that x represents the <span>number of apple pies that can be made and y represents the number of apple cobblers that can be made.

Given that a</span><span>n apple pie uses 4 cups of apples and an apple cobbler uses 2 cups of apples and there are 16 cups of apples available.

</span>A<span>n inequality to show the constraint on the amount of apples available is given by:

4x + 2y ≤ 16
</span>


Part 2:

<span>Given that an apple pie uses 3 cups of flour and an apple cobbler uses 3 cups of flour and there are 15 cups of flour available.

</span>A<span>n inequality to show the constraint on the amount of flour available is given by:

3x + 3y ≤ 15



Part C:

The </span><span>non negativity contraints on x and y are:

x ≥ 0 and y ≥ 0
</span>
8 0
3 years ago
Using triangle inequality to determine possible lengths of a third side. Can someone help me please?
kotykmax [81]

Answer:

hypotenuse = aprox 18.6

Step-by-step explanation:

a^2 + b^2 = c^2

11^2 + 15^2 = c^2

346 = c^2

square root both sides

c = aprox 18.6

hope that helped!

8 0
3 years ago
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