What is the value of x?

Rufina [12.5K]

Answer:

no.400pts is equal to 50 gallons.1pt equals 0.125 gallons 400 pints x0.125 gallons equals 50 gallons,so that statement is false

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Item 4 Assume that good X is a normal good. If the price of good X increases, what will happen?

Harrizon [31]

Answer:

Demand will fall.

Step-by-step explanation:

The most expected result of a rise in price for a normal good is the reduction in its demand. Any normal product such as shampoos, will face a reduction in it's demand if its prices rise.

Another impact may also be that the demand for a substitute good may rise as a result of price rise in good X.

Another impact that may come occur is the excess supply of good X, as good X will face a loss in demand, there will be more quantity available then demanded by the consumers.

3 0

4 years ago

Brenda and her best friend went on a vacation together. They both paid for a flight, and Brenda had a fancy room for $150 per ni

Mila [183]

Answer:

A. 2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. $1,380

Step-by-step explanation:

Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.

A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights. Brenda's total is $1,500, then

$150y+2x=1,500$

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights. Brenda's friend total is $1,320, then

$120y+2x=1,320$

Subtract two equations:

$150y+2x-120y-2x=1,500-1,320\\ \\30y=180\\ \\y=6$

Substitute into the first equation:

$150\cdot 6+2x=1,500\\ \\900+2x=1,500\\ \\2x=600\\ \\x=300$

Hence

2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid $\$130\cdot 6=\$780$

The total cost is

$\$780+\$600=\$1,380$

7 0

4 years ago

The table shows the cost for bowling at two bowling alleys

tekilochka [14]

1. 2 + 2.5x = y
2. 4 + 2x = y

Hope this helps.

7 0

4 years ago

The coordinate plane below represents a city.

alex41 [277]

Answer:

Part A) The system of inequalities is

$x\geq2$ and $y\geq2$

Part B) In the procedure

Part C) The schools that Natalie is allowed to attend are A,B and D

Step-by-step explanation:

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions

we have

Points C(2,2), F(3,4)

The system of inequalities could be

$x\geq2$ -----> inequality A

The solution of the inequality A is the shaded area at the right of the solid line x=2

$y\geq2$ -----> inequality B

The solution of the inequality B is the shaded area above of the solid line y=2

see the attached figure N 1

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Verify point C

C(2,2)

<em>Inequality A</em>

$x\geq2$ -----> $2\geq2$ ----> is true

<em>Inequality B</em>

$y\geq2$ ------> $2\geq2$ ----> is true

therefore

Point C is a solution of the system of inequalities

Verify point D

F(3,4)

Inequality A

$x\geq2$ -----> $3\geq2$ ----> is true

Inequality B

$y\geq2$ ------> $4\geq2$ ----> is true

therefore

Point D is a solution of the system of inequalities

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend.

we have

$y < -2x+2$

The solution of the inequality is the shaded area below the dotted line $y=-2x+2$

The y-intercept of the dotted line is the point (0,2)

The x-intercept of the dotted line is the point (1,0)

To graph the inequality, plot the intercepts and shade the area below the dotted line

see the attached figure N 2

therefore

The schools that Natalie is allowed to attend are A,B and D

6 0

4 years ago