The senior class plans a school trip to Washington DC. Students should bring money for meals andsouvenirs. They are told to bring at least $60 but no more than $135. Write a compound inequality that
represents the amounts of money a student can bring.

Answers

Answer 1
Answer:

Answer:

$65 ≤ x ≤ $135

Step-by-step explanation:

Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.

Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.

Notice that in the given sign

the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥

The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to

if this is written

x ≤ 3

It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.

Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,

So one inequality is

$65 ≤ x

The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is

x ≤ $135

Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.


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Temperature changes throughout the hours of a day. Early in the morning, temperature increases slowly. At noon, the temperature rises sharply. During the afternoon, the temperature stays the same for several hours. As night falls, the temperature decreases slightly. Choose the graph that best represents this situation,​

Answers

Final answer:

A line graph would best represent the temperature changes throughout the hours of a day, showing a slow increase in the morning, a sharp rise at noon, a plateau in the afternoon, and a slight decrease at night.

Explanation:

The best graph to represent the temperature changes throughout the hours of a day would be a line graph. The graph should show a slow increase in temperature early in the morning, a sharp rise at noon, a plateau during the afternoon, and a slight decrease as night falls. This pattern follows the circadian rhythm, where temperature rises throughout the waking day, peaks in the afternoon, and falls during sleep.

Learn more about Temperature changes throughout the day here:

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Answer:

Temperature changes throughout the hours of a day. Early in the morning, temperature increases slowly. At noon, the temperature rises sharply. During the afternoon, the temperature stays the same for several hours. As night falls, the temperature decreases slightly. Choose the graph that best represents this situation,​

Step-by-step explanation:

the answer is D

Find the length of the third side. If necessary, write in simplest radical form​

Answers

Answer:

√(19)

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (= the side opposite of the 90 degree angle).

=>

10² = 9² + b²

100 = 81 + b²

19 = b²

b = sqrt(19) (≈ 4.36)

A right rectangular prism has base dimensions of 3 inches by 12 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches.If the prisms are the same height, how do their volumes compare?

The volumes are equal, because the bases are congruent.
The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
The volumes are not equal, because their horizontal cross-sectional areas are not the same at every level.

Answers

Answer:

The correct option is 2.

Step-by-step explanation:

Given information: Height of both prism are same.

Right rectangular prism has base dimensions of 3 inches by 12 inches.

Volume of a right rectangular prism:

V=Bh

where, B is base area and h is height of the prism.

The volume of right rectangular prism is

V=(3* 12)* h=36h

Therefore the volume of right rectangular prism is 36h cubic inches.

An oblique rectangular prism has base dimensions of 4 inches by 9 inches.

Volume of a oblique rectangular prism:

V=Bh

where, B is base area and h is height of the prism.

The volume of right rectangular prism is

V=(4* 9)* h=36h

Therefore the volume of oblique rectangular prism is 36h cubic inches.

The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

Option 2 is correct .

The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

How to find the volume of the prism?

The formula for the Volume of a right rectangular prism is:

V = B * h

where,

B is base area.

h is height of the prism.

Thus:

V = 3 * 12 * h

V = 36h

Similarly, the volume of the oblique rectangle is:

V = Bh

V = 4 * 9 * h

V = 36h

Thus, we can see that the volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

Read more about Volume of Prism at: brainly.com/question/23766958

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If a company plans to sell 48,000 units of product but sells 60,000, the most appropriate comparison of the cost data associated with the sales will be by a budget based on? Select one: a. the original planned level of activity. b. 54,000 units of activity. c. 60,000 units of activity. d. 48,000 units of activity.

Answers

Answer:

C. 60,000 units of activity.

Step-by-step explanation:

Simplify this 4x^2-3x^2

Answers

Answer:

x^2(4-3)

Step-by-step explanation:

find what they have in common, in this case its x^2, and take it outside the () and put what you have left inside the().

Answer:

x^(2)

Step-by-step explanation:

Your equation is 4x^2-3x^2

Add similar elements together,

which gets you x^2

How do I solve this?
24+3.1+(-44)+(-8.2)+63

Answers

24+3.1+(-44)+(-8.2)+63= 24 + 3.1 - 44 - 8.2 + 63= 87 + 3.1 - 44 - 8.2= 43 + 3.1 - 8.2= 43 + 3.1 - 3.1 - 5.1= 43 - 5.1= 43 - 3 - 2.1= 40 - 2.1= 37.9