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3 years ago

Add 1 1/3+(−5/6) using the number line.

Mathematics

1 answer:

diamong [38]3 years ago

3 0

0.5 would be the answer because you are starting at 1 1/3 and moving 5/6 to the left

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Explain why their are no solutions to the system of inequalities y ≤2x-5 y ≥2x+1

rosijanka [135]

Answer:

Sorry this is late and I think this is right.

They are both parallel, they have the same slope, and do not intersect. If you were to draw a slope out for it, you would find this to be true.

For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:

y < - 1/2x -3

y > 1/2x + 2

y= -x/2 -3 and y= -x/2 + 2 have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.

I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.

7 0

3 years ago

Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home

OverLord2011 [107]

Answer:

I think that her taking the skateboard is 4 times as fast as her walking.

Step-by-step explanation:

I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.

4 0

4 years ago

4^4x-5= 8^3x-4 solve

Alexxandr [17]

$4^{4x-5}=8^{3x-4}\\\\(2^2)^{4x-5}=(2^3)^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-5)}=2^{3(3x-4)}\iff2(4x-5)=3(3x-4)\qquad\text{use distributive property}\\\\(2)(4x)+(2)(-5)=(3)(3x)+(3)(-4)\\\\8x-10=9x-12\qquad\text{add 10 to both sides}\\\\8x=9x-2\qquad\text{subtract 9x from both sides}\\\\-x=-2\to \boxed{x=2}$

8 0

3 years ago

It’s all in the picture number 5!!!pleaseee help‼️‼️‼️‼️‼️‼️ASAP‼️‼️

Mariulka [41]

We know that m<JKL = m<JKM + m<MKL

Let's substitute the values from the picture into our equation above.

10x - 11 = 43 + 8x - 20

Combine like terms.

10x - 11 = 8x + 23

Subtract 8x from both sides and add 11 to both sides.

2x = 34

Divide both sides by 2

x = 17

m<MKL = 8x - 20 = 8(17) - 20 = 136 - 20 = 116 degrees.

m<JKL = 10x - 11 = 10(17) - 11 = 170 - 11 = 159 degrees.

7 0

3 years ago

Suppose you have the following information. 12% of all drivers do not have a valid driver’s license, 6% of all drivers have no i

lubasha [3.4K]

Answer:

e) 0.14

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a driver does not have a valid driver's license.

B is the probability that a driver does not have insurance.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a driver does not have a valid driver's license but has insurance and $A \cap B$ is the probability that a driver does not have any of these things.