Which greatest integer function matches the graph?

If 5% of an item is $1.50, what is the original price?

Olegator [25]

Answer:

original price = $30.00

Step-by-step explanation:

note that the original price is 100% , then

1% = $1.50 ÷ 5 = $0.30 , so

100% = 100 × $0.30 = $30.00

6 0

10 months ago

Read 2 more answers

If f(x) = x + 1, and g(x) = 2x the g(f(x)) =

Slav-nsk [51]

2(x+1)
2x+2 is your final answer

3 0

2 years ago

The diagonal of a side of rhombus are of equal length. Find the measures of angles of the rhombus.

sergij07 [2.7K]

Explanation:

Consider ABCD is a rhombus

We know that

All sides are equal in rhombus i.e,

⇛AB=BC=CD=DA

and AC and BD are digonals

Given that

Diagonal and the side of the rhombus are equal.

⇛AB = BC = CD = DA = AC

Diagonal AC divides the rhombus into two triangles .

They are ∆ BAC and ∆ DAC

In triangle BAC

BA=BC=AC,(Given)

⇛∠ BAC=∠ABC= ∠ACB =60°→→→Eqn(i)

Similarly in ∆DAC ,

DA=DC=AC

⇛∠DAC=∠ACD=∠ADC=60°→→→Eqn(ii)

From eqn(i) and eqn(ii)

∠A=∠BAC+∠DAC=60°+60°=120°

and

∠B= ∠ABC = 60°.

and

∠C=∠ACB+∠ACD=60°+60°=120°

and

∠D =∠ADC=60°

∴ ∠A = 120° , ∠B = 60° ,∠C = 120° & ∠D = 60°

Answer:-The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°.

Note: [Figure refers in the attached file.

7 0

2 years ago

2. After the relay race, Larry, Curly, and Moe went to the

jarptica [38.1K]

Using proportions, it is found that each of the 6 people got $0.5.

<h3>Proportions:</h3>

This question is solved by proportions, using a rule of three.

$3.00 is shared between 6 people, which are Larry, Curly, Moe, Alvin, Simon and Theodore. How much did each people(1 person) get?

The rule of three is:

$3.00 - 6 people

$x - 1 person

Applying cross multiplication:

$6x = 3$

$x = \frac{3}{6}$

$x = 0.5$

Each of the 6 people got $0.5.

To learn more about proportions, you can take a look at brainly.com/question/24372153

7 0

2 years ago

11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is

alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

$y = 300 - 4x -x^2$

where y is the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

$160 = 300 - 4x -x^2\\x^2 + 4x - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14$

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

5 0

2 years ago