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Lelu [443]
3 years ago
6

________is a ratio comparing two quantities with different kinds of units

Mathematics
2 answers:
kolezko [41]3 years ago
6 0

Answer:

Rate

Step-by-step explanation:

The rate of one quantity with another quantity (usually of different units) is the ratio that compares those two quantities. In other words, a rate is a comparison of two quantities of different units in ratio form. For example;

We know that velocity is the rate at which distance changes with time. This means that velocity is a rate comparing two different quantities which are distance and time which both have different units. Distance has an S.I unit of meters(m) while time has an S.I unit of seconds(s). This can be written as follows;

Velocity = distance : time or \frac{distance}{time}

V125BC [204]3 years ago
5 0

Answer:

Rate

Step-by-step explanation:

Rate is basically also a ratio. but it is the comparing of two different quantities with different units.

As ratio is comparing of same or identical quantities thus it has no units. But on the other hand as rate is the comparison of different quantities, thus it has units.

for example:

When i compare two quantities, 1st is a distance quantity and 2nd is a time quantity i.e.

20 meters : 15 seconds

thus the lowest form of this relationship will be:

4 meters : 3 seconds

when i write it in Decimal form it becomes :

Ans : 1.33 meters/second   (Distance per unit time)

As this ratio have remaining units thus it is referred to as "RATE".

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Find f(-3) for f(x) = 4(2)^x

  • D.-24

((−3)(4))(2)

=(−12)(2)

=−24

8 0
2 years ago
Can someone please help me on number 16-ABC
melomori [17]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

-2x < 10

-6 < -2x

<u>Part a) Is x = 0 a solution to both inequalities</u>

FOR  -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

-6 < 0

TRUE!

Thus, x = 0 satisfies the inequality -6 < -2x

∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

x = 0 is a solution to both inequalites.

<u>Part b) Is x = 4 a solution to both inequalities</u>

FOR  -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

FALSE!

Thus, x = 4 does not satisfiy the inequality -6 < -2x

∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

<u>solving -2x < 10</u>

-2x\:

Multiply both sides by -1 (reverses the inequality)

\left(-2x\right)\left(-1\right)>10\left(-1\right)

Simplify

2x>-10

Divide both sides by 2

\frac{2x}{2}>\frac{-10}{2}

x>-5

-2x-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}

<u>solving -6 < -2x</u>

-6 < -2x

switch sides

-2x>-6

Multiply both sides by -1 (reverses the inequality)

\left(-2x\right)\left(-1\right)

Simplify

2x

Divide both sides by 2

\frac{2x}{2}

x

-6

Thus, the two intervals:

\left(-\infty \:,\:3\right)

\left(-5,\:\infty \:\right)

The intersection of these two intervals would be the solution to both inequalities.

\left(-\infty \:,\:3\right)  and \left(-5,\:\infty \:\right)

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

<h3>SUBSTITUTING x = 1</h3>

FOR  -2x < 10

substituting x = 1 in -2x < 10

-2x < 10

-3(1) < 10

-3 < 10

TRUE!

Thus, x = 1 satisfies the inequality -2x < 10.

∴ x = 1 is the solution to the inequality -2x < 10.

FOR  -6 < -2x

substituting x = 1 in -6 < -2x

-6 < -2x

-6 < -2(1)

-6 < -2

TRUE!

Thus, x = 1 satisfies the inequality -6 < -2x

∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

7 0
3 years ago
Naomi earned $840 for working 40 hours last week. How much will she get paid this week if she only works 30 hours assuming she g
zloy xaker [14]

Answer:

Naomi will get paid $630 if she only works 30 hours this week.

Step-by-step explanation:

You divide 840 by 40 to see how much you get paid per hour.

Once you do that you get $21 per hour.

You multiply 21 by 30 to know how much you'd be paid for working 30 hours.

You get your final answer which is $630.

3 0
3 years ago
Show me how to do this​
romanna [79]

Answer:

<h2>x = 7 cm</h2>

Step-by-step explanation:

The perimeter of the given triangle:

P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.

Therefore we have the equation:

2x + 1 + x + 2 + 3x - 9 = 36          <em>combine like terms</em>

(2x + x + 3x) + (1 + 2 - 9) = 36

6x - 6 = 36      <em>add 6 to both sides</em>

6x = 42          <em>divide both sides by 6</em>

x = 7

4 0
3 years ago
If a figure is a cube, then it has eight vertices.
defon

Answer:

cnoicee

Step-by-step explanation:

cool

7 0
3 years ago
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