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3 years ago

Which inequality is true? Use the number line to help.

Mathematics

1 answer:

jolli1 [7]3 years ago

4 0

Answer:

c. -1.5 < -0.5

Step-by-step explanation:

a. -1.5 > 0.5 . . . . false

b. -0.5 > 0 . . . . . false

c. -1.5 < -0.5 . . . TRUE

d. 1/2 > 0.5 . . . . false (these are the same number) 1/2 = 0.5

_____

In order on the number line from left to right, you will see ...

(left end) ... -1.5 ... -0.5 ... 0 ... 0.5 ... (right end)

The inequality relation appropriate to these is ...

(number on the left) < (number on the right)

Of course, this can be swapped around so you have ...

(number on the right) > (number on the left)

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In the following figure, three layers of cubes are stacked on top of each other. How many cubes of any size are in the figure?

Reika [66]

Answer:

Step-by-step explanation:

It's 3x3, 2x2, and 1x1

9+4+1=14

4 0

3 years ago

A line is a collection of points along a straight path that has no end points and goes on forever

Oduvanchick [21]

Answer:

false

Step-by-step explanation:

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3 years ago

10 laps around track each day. Each lap around the track is 400 meters. How many day will take kali to run a total 12 kilometers

Natali5045456 [20]

Answer:

3 days

Step-by-step explanation:

First, let's convert 400 meters to km (kilometers):

To find km from m we divide the meters by 1000:

400/1000 = 0.4

Therefore, there are 0.4 km in 1 meter.

Kali runs 10 laps every day, since 1 lap is 0.4 km we can multiply 10 by 0.4 to see how many kilometers they run in 1 day:

(10)(0.4) = 4

Kali runs 4 kilometers every day

Now, we can find how long it will take Kali to run a total of 12 kilometers by dividing 12 by 4

12/4 = 3

It will take Kali 3 days to run a total of 12 kilometers.

I hope this helps!!

- Kay :)

7 0

3 years ago

Find the area of the composite figure. I need a quick answer on pleas

Maru [420]

Answer:

Area if rectangle= 55

Area of triangle=30

Total area=85

11x5=55

23-11=12

5/2=2.5

2.5x12=30

55+30=85

8 0

3 years ago

2. √3x + 7 + √x + 1 =2

taurus [48]

Answer:

x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

$\displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}$

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

5 0

3 years ago