All categories

3 years ago

Name a value for x that will complete the inequality that is shown. Then, explain why the value makes the inequality true.

Mathematics

2 answers:

Alex17521 [72]3 years ago

7 0

<h3>Answer: 0.157</h3>

========================================================

Explanation:

Convert the fraction 9/50 to decimal form. You can use either long division or a calculator.

You should find that 9/50 = 0.18 which is the same as 0.180

So the original compound inequality is the same as saying 0.125 < x < 0.180

This tells us that x is between 0.125 and 0.180 where x is not equal to either endpoint. We simply need to pick anything in this interval. It can be anything you want (I recommend to use a number line to help pick a value). One such value is 0.157. There are infinitely many values you can select from.

The number 0.157 is between 0.125 and 0.180, ie 0.125 < 0.157 < 0.180

It's very similar to saying 157 is between 125 and 180, ie 125 < 157 < 180.

krok68 [10]3 years ago

4 0

Answer:

To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own. Less Than Or Equal To. Type = for "less than or equal to". Here is an example:

Step-by-step explanation:

You might be interested in

On the right side, give a reason to justify each step made on the left

cestrela7 [59]

Given that: step 1

$3x+12=8x-18$

step 2: subtract 3x both side

$\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}$

Step 3: Add 18 both side:

$\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}$

Step 4: divide both side by 5

$\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}$

Step:6 The value of x is:

x=6

8 0

1 year ago

Describe an easy way to find the square root<br> when the number is not a perfect square?

marissa [1.9K]

The product of a rational number multiplied by itself is called as a perfect square.,we can easily find out the square root for a number which is a imperfect square

Step-by-step explanation:

using the following formula we can find a square root for a number which is a imperfect square

X = Non perfect square

√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )

$√x = (square root of nearest lower perfect square +(x - perfect square)÷2×(√perfect square )$ Example

√38

the nearest perfect root is 36

36 (√36=6)

so √38 = √36 + (38-36)/2√36

= 6 + 2/12

=6 + 1/6 = 6.166 (answer)

$√38 the nearest perfect root is 36 36 (√36=6)so √38 = √36 + (38-36)/2√36 = 6 + 2/12=6 + 1/6 = 6.166 (answer)$

7 0

4 years ago

A team of psychologists studied the effect of multitasking on the completion of cognitive tasks. A group of 40 women participate

kakasveta [241]

Answer: Matched-pairs t-test

Step-by-step explanation:

5 0

3 years ago

Help!! What is 78,400,000 expressed in scientific notation?

Ludmilka [50]

It's b the number multiplied by 10 must be less than 10

6 0

3 years ago

What is the standard form of the equation of a line for which the length of the normal segment to the origin is 8 and the normal

jeka57 [31]

Slope of line = tan(120) = -tan(60) = - √3
Distance from origin = 8

Let equation be Ax+By+C=0
then -A/B=-√3, or
B=A/√3.
Equation becomes
Ax+(A/√3)y+C=0

Knowing that line is 8 units from origin, apply distance formula
8=abs((Ax+(A/√3)y+C)/sqrt(A^2+(A/√3)^2))
Substitute coordinates of origin (x,y)=(0,0) =>
8=abs(C/sqrt(A^2+A^2/3))
Let A=1 (or any other arbitrary finite value)
solve for positive solution of C
8=C/√(4/3) => C=8*2/√3 = (16/3)√3

Therefore one solution is
x+(1/√3)+(16/3)√3=0
or equivalently
√3 x + y + 16 = 0

Check:
slope = -1/√3 .....ok
distance from origin
= (√3 * 0 + 0 + 16)/(sqrt(√3)^2+1^2)
=16/2
=8 ok.

Similarly C=-16 will satisfy the given conditions.

Answer The required equations are
√3 x + y = &pm; 16
in standard form.

You can conveniently convert to point-slope form if you wish.

4 0

3 years ago