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Nina [5.8K]
3 years ago
11

Which of the following lit all the interger solution of the inequalithy |X| < 5

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0
|x|∈{0,1,2,3,4}
x∈{-4,-3,-2,-1,0,1,2,3,4}
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Two cyclists, 80 miles apart, start riding towards each other at the same time. One cycles three times as fast as the other. If
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Answer:

The speed of the faster cyclist is 15 miles per hour

Step-by-step explanation:

Let the speed of the slower cyclist be x miles per hour

The speed of the faster is 3 times this

Mathematically, we have this as 3 * x miles per hour = 3x miles per hour

Now;

distance = speed * time

In 4 hours, the distance covered by the slower will be;

x * 4 = 4x miles

The faster;

3x * 4 = 12x miles

Since they are riding opposite each other, they would have covered a total distance of 80 miles when they meet

Thus, we have that;

12x + 4x = 80

16x = 80

x = 80/16

x = 5

The speed of the faster is;

3x miles per hour

Substitute the value of x here

That will be;

3 * 5 = 15 miles per hour

8 0
3 years ago
sally has to pay 1/3 of her paycheck in tax. After paying tax, she spends 2/5 of the remainig money on rent. What fraction of he
jeka57 [31]

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Answer:

  2/5

Step-by-step explanation:

After paying 1/3 in tax, 2/3 of Sally's paycheck remains.

After paying 2/5 of that, 3/5 of that 2/3 remains. The remaining fraction is ...

  (3/5)(2/3) = 2/5

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8 0
3 years ago
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What is the area of this figure? 4 cm 5cm 5cm Enter your answer in the box. cm? ​
Kruka [31]
What’s the shape of it?
If it’s a rectangle 20
Bot something with more than 4 sides 100cm
6 0
3 years ago
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h
Tanya [424]

Answer:

  192 cm^3/min

Step-by-step explanation:

Differentiating the volume expression, we get ...

  dV/dt = 2xh(dx/dt) +x^2(dh/dt)

We are given that ...

  x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min

Putting these values into the formula for volume rate of change, we get ...

  dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)

  = 240 cm^3/min -48 cm^3/min

  dV/dt = 192 cm^3/min

8 0
3 years ago
What is the solution of log2x + 6 144 = 2?
VladimirAG [237]

Answer:

x=-3

Step-by-step explanation:

2x+6144=2

2x=2-6144

2x=-6142

x=-6142÷2

x=-3071

8 0
4 years ago
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