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3 years ago

How to Find the solution set of the inequality for 4x−1<11.

Mathematics

2 answers:

SCORPION-xisa [38]3 years ago

8 0

Answer:

Step-by-step explanation:

First add 1 on both sides, then divide by 4 on both sides

Dahasolnce [82]3 years ago

8 0

The solution set is x < 3.

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A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It is filled with 5 meters of ho

iren [92.7K]

Answer:

The work required to empty the tank is 1,580,887 J

Step-by-step explanation:

Work = mass of chocolate × acceleration due to gravity × height of chocolate

Volume of tank (cone) = 1/3πr^2h = 1/3 × 3.142 × 2^2 × 7 = 29.33 m^3

Mass of hot chocolate = density of hot chocolate × volume of cone = 1100 kg/m^3 × 29.33 m^3 = 32,263 kg

height of chocolate = 5 m

Work = 32,263×9.8×5 = 1,580,887 J

3 0

2 years ago

Read 2 more answers

PLES HELP ME June knits scarves and hats for kids in her community. She has knitted six less than twice as many hats as scarves,

Thepotemich [5.8K]

Let x = hats she knitted

Less than means to subtract and it’s an order switcher so it would be

2x - 6 = 78

First step: Add six to both sides -6 + 6 = 0 6 + 78 = 84

2x - 6 = 78
+ 6. +6

2x = 84

Second step: Divide the coefficient on both sides, two is the coefficient

2x/2 = x
2/84 = 42

Therefore, the answer is x= 42

6 0

1 year ago

For his long distance phone service, Keith pays a $5 monthly fee plus 9 cents per minute. Last month, Keith's long distance bill

TiliK225 [7]

Answer: 178 minutes

21.02 x 100 = 2102

2102 - 500 = 1602

1602 / 9 = 178

4 0

2 years ago

Please I Really Need Help.The coordinate plane below represents a city. Points A through F are schools in the city.

almond37 [142]

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)

Inequality A

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

Inequality B

$y\geq2$ ------> $2\geq2$ ----> 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

3 0

3 years ago

The sum of a number and 6 is greater than 76 write an inequality

IrinaVladis [17]

Answer:

x+6>76

Step-by-step explanation:

sum is adding

greater than is >

6 0

2 years ago