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3 years ago

Help me solve⬇️ Plzzzzzzzz

Mathematics

1 answer:

LekaFEV [45]3 years ago

5 0

The inequalities that match the number line are

10.x≥-2

11.x<-2

Explanation

The inequalities can be determined from the number line. In the first number line the arrow starts from the point -2 and then extends to infinity. The point -2 is marked by a solid circle which means that the point too is included.

so x≥-2 becomes the inequality corresponding to the number line.

In the next number line the arrow starts from the point -2 but the point is marked by an unshaded circle which indicates that the point is not included .

therefore the inequlity x<-2 represents the number line.

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A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the

Yanka [14]

The volume required for a 5% solution is 5.7 L, while a 40% solution requires 4.3 L for the experiment.

<h3>What is defined as the percentage?</h3>

A percentage is a fraction of a whole represented as a number ranging from 0 and 100.

In this question, you would like to make a 10 litre 20% solution by combining 5% and 40% concentrations.
This question should have multiple answers.
Supposing that total volume of the 5% and 40% solutions is 10 L (no solution wasted), you can calculate the volume of solution required.

The equation should be as follows:

If 'x' is the volume of a 40% solution, then the volume of a 5% solution is:

10 L = 40% solution volume + 5% solution volume

10 L = x + 5% volume of solution

10 L - x = 5% solution volume

The volume would then be calculated as follows:

(volume 20% × concentration 20%) = (volume 40% × concentration 40%) + (volume 5% × concentration 5%)

10 litre × 20% = x litre × 40% + (10- x) litre × 5%

10 L × 20% = x litre × 35% + 10 litre × 5%

x litre × 35 = 10 L × 20 - 10 L × 5

= 10 L × 15

x litre = 10 L × 15/35

x litre = 4.28 L

x litre = 4.3 L

40% solution volume = 4.3 L

The volume of 5% solution is equal to 10 L - 4.3 L = 5.7 L.

Thus, the volume of 5% solution requires is 5.7 L and volume of 40% solution required is 4.3 L.

To know more about percentage, here

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5 0

1 year ago

120°<br> (12 + 2x)<br> Find the value of x

OLEGan [10]

Answer:

Step-by-step explanation:

12+2x=120

2x=108

x=54

6 0

3 years ago

Ms Wilson draws a model

Korolek [52]

I need the model and the rest of the question to help you ;-;

7 0

3 years ago

HELP ASAP PLEASE!!!

nikklg [1K]

Answer:

Option C is correct.

Step-by-step explanation:

An exponential function is of the form: $y =a(b)^x$ ....[1] where a is the initial value, x is any real number and b is the growth factor

Also, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r).

Then, the growth "rate" (r) is determined as b = 1 + r.

and the decay "rate" (r) is determined as b = 1 - r

If b> 1, then it is exponential growth function.

if 0<b< 1. then it is exponential decay function.

Also, b = 1+ 4

Given the equation: $y = 50(1.15)^x$

On comparing given equation with [1] we get;

a = 50 and b = 1.15

Since, b = 1.15 > 1

Therefore, the given equation represents the exponential growth.

(A)

Yes, this $y = 50(1.15)^x$ equation represents the exponential growth.

(B)

Initial value (a) = 50

(C)

Here growth factor, b = 1.15

and

1+ r = 1.15.

⇒ $r = 0.15\%$

3 0

3 years ago

Simplify: 7.2 x10^4/3.0 x 10^2

Jobisdone [24]

Answer:

240

Step-by-step explanation:

4 0

3 years ago