The diagram shows the floor plan of a hotel lobby. Carpet costs $3 per foot. How much will it cost to carpet the lobby

Shirley wants to find the distance her unicycle moves on the sidewalk when the tire makes one complete revolution. If the diamet

Evgesh-ka [11]

Answer:

44 in

Step-by-step explanation:

The circumference of the tire will be the same as the distance the unicycle moves in one complete revolution.

Find the circumference with the formula C = $\pi$ d, where d is the diameter

Plug in the values:

C = $\pi$ (14)

C = approx. 44 in

6 0

3 years ago

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p

sveticcg [70]

Answer:

Part 1: 25x ≥ 600

Part 2: 15y ≥ 600

Part 3: y ≤ 40

Explanation:

Verbal statements must be translated into algebraic expressions, equations or inequalities.

1. Money earned by Jamie washing cars for $25 each

Let x represent the number of cars Jaime washes.

25x

2. Money earned by Stella making pecan pies for $15 each

Let y represent the number of pies she makes

15y

3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies.

Write an inequality using the symbol ≤, since y can take any integer value up to 40.

y ≤ 40

4. First question:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip

25x ≥ 600

5. Second question:

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

15y ≥ 600

6. Third question

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

From step # 3

y ≤ 40

7. Conclusion

You can solve the inequalities fo find whether Stella can or not afford the trip:

Solve for the inequalities that represent Stella's situation:

15y ≥ 600

y ≥ 600 / 15

y ≥ 40

From step 6: y ≤ 40

The solution set is the intersection of the two solutions:

y ≥ 40 ∩ y ≤ = 40 = 40.

Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.

6 0

3 years ago

The lodhl diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are five appet

kenny6666 [7]

Answer: 100

Step-by-step explanation:

Given : The lodhl diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert.

There are 5 appetizers, 5 soups, 4 main courses, and 5 desserts.

Also, a dessert and a appetizer are not allowed to take together.

By Fundamental counting principal ,

Number of three-course meals with dessert and without appetizer :

$5\times4\times5=100$ (1)

Number of three-course meals with appetizer and without dessert :

$5\times5\times4=100$ (2)

Now, the number of meals with either dessert or appetizer :-

$100+100=200$ [Add (1) and (2)]

6 0

3 years ago

What are the missing parts that correctly complete the proof

bonufazy [111]

Answer:

2. $\overline{AX}\cong \overline{BX}$

3. $PX \perp AB$ - definition of perpendicular

4. $\angle PXA \cong \angle PXB$ - all right angles are congruent

6. $\triangle AXP\cong \triangle BXP$

7. $\overline{PA} \cong \overline{PB}$

Step-by-step explanation:

Given: Point P is the perpendicular bisector of AB

Prove: P is equidistant from the endpoints AB

Proof.

1. Point P is on the perpendicular bisector of AB - given

2. $\overline{AX}\cong \overline{BX}$ - definition of bisector

3. $PX \perp AB$ - definition of perpendicular

4. $\angle PXA \cong \angle PXB$ - all right angles are congruent

5. $\overline{PX} \cong \overline{PX}$ - reflexive property of congruence

6. $\triangle AXP\cong \triangle BXP$ - SAS congruency postulate

7. $\overline{PA} \cong \overline{PB}$ - corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the endpoints of AB - definition of equidistant

5 0

3 years ago

More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2

dangina [55]

Answer:

angle C = 64 degrees

Step-by-step explanation:

sin C = cos B

angle C = 10x+4

angle B = 4x+2

angle C + angle B = 90 degrees

10x+4 + 4x+2 = 90

simplify:

14x+6 = 90

14x = 84

x = 6

angle C = 64 degrees

4 0

3 years ago