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3 years ago

6th grade math money stuffs

Mathematics

1 answer:

Juliette [100K]3 years ago

8 0

We solve inequalities in a similar manner to that which we solve equations, just with a greater than or less than sign in the middle instead of an equals sign. Just like we do for equations, our goal for solving inequalities is to get the variable alone on one side. To do this, we must use the reverse order of operations to cancel out the coefficient on the variable.

3m > 24

The opposite of multiplication is division, so we must divide both sides of the equation by 3 to find our answer.

m > 8

This means that your answer is the first option, m > 8.

Hope this helps!

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Nancy put new insulation in her attic and discovered that her heating bill for December decreased from $160 to $100. What is the

WINSTONCH [101]

Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

$100 / $160 = .625 (62.5%)

So $100 is 62.5% of $160

To find the decrease we need to subtract 62.5% from 100%

100 - 62.5 = 37.5

4 0

2 years ago

Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

3 0

3 years ago

Read 2 more answers

The living room in a new house has the dimensions shown. What is the volume of the room?

Savatey [412]

Add the sides then what ever you got add that up with 9 yd

5 0

3 years ago

Which circle shows AB that measures 60 degrees?

kkurt [141]

Answer:

Can you put a picture?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.

yan [13]

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

Step-by-step explanation:

The average rate of change of the cost of a pack ( $r$ ), in monetary units per year, is equal to the change in the average cost of a pack ( $\Delta c$ ), in monetary units, divided by the change in time ( $\Delta t$ ), in years. Then, the average rate of change is:

$r = \frac{\$\,5.31-\$\,0.88}{2000-1980}$

$r = \$\,0.22\,\frac{1}{yr}$

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average rate of change is slope.

8 0

3 years ago