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Anettt [7]
3 years ago
6

Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides

to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.
Plan A: Raise the price by $0.05 each week until the price reaches $8.00.

Plan B: Raise the price by 10 percent each week until the price reaches $8.00.

Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.

Plan D: Raise the price by $0.25 each week until the price reaches $8.00.

Which plan will result in the price of the bagels reaching $8.00 fastest?
plan A
plan B
plan C
plan D
Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

Plan C will be the fastest - it will take 10 weeks

Step-by-step explanation:

Plan A will take 60 weeks

Plan B will take the longest 104 weeks

Plan D will be the fastest - it will take 12 weeks

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Find the measure of the missing angle.
Leya [2.2K]

Answer:

163

Step-by-step explanation:

inside of the pentagon it adds up to 540 degrees so u add all those angles together and take it away from 540

3 0
3 years ago
What is the area of a circle with 11m and 9m?
Naya [18.7K]

Answer:

99m

Step-by-step explanation:

multiply the two numbers

3 0
3 years ago
8) A school community had planned to reduce the number of grade 9 students per class room by constructing additional class rooms
Allisa [31]

Step-by-step explanation:

Let "c" be the original number of classrooms.

The 1200/c was the original number of students per classroom.

----

Equation:

1200/(c-4) = (1200/c)+10

Multiply thru by c(c-4)

---

1200c = 1200(c-4)+10c(c-4)

---

1200c = 1200c-4800 + 10c^2-40c

----

10c^2-40c-4800 = 0

c^2-4c-480 = 0

Factor:

(c-24)(c+20) = 0

---

Positive solution:

c = 24 (# of classrooms originaly planned)

7 0
3 years ago
The length L of a rectangle is 4 units more than its width W. The rectangle's are is 252 square units. A) Write the equation tha
jek_recluse [69]

Answer:

w=14

l=18

Step-by-step explanation:

To find the dimensions, create an equation for its area and solve for each using the area formula A = l*w. The dimensions given are A = 252, w for width and l= w+4 (4 more than the width).

A = l*w\\252 = (w+4)*w\\252 = w^2+4w\\252+4 = w^2 +4w +4\\256 = (w+2)^2\\\sqrt{256} =\sqrt{(w+2)^2} \\16 = w+2\\16 = w+2\\14= w\\

The width is 14 so the length is l=w+4 or l= (14)+4 =18

3 0
3 years ago
in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE
maksim [4K]

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point <em>A</em>.

  • <u>ΔDOA is similar to ΔABC, and </u><u>∠AEC</u><u> is equal to </u><u>∠ABC,</u><u> therefore, ∠AEC = ∠ODA</u>

Reasons:

The given parameters are;

The diameter of the circle with center <em>O</em> = AB

DO ⊥ AB (DO is perpendicular to AB)

Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement {}                                                 Reason

1. AB is the diameter of circle     <em> </em>{}                 1. Given

2. DO is perpendicular to AB <em> </em>{}                     2. Given

3. ∠DOA = 90° <em> </em>{}                                             3. Definition of DO ⊥ AB

4. ∠BCA = 90°  <em> </em>{}                                             4. Thales theorem

5. ∠BCA ≅ ∠BCA <em> </em>{}                                         5. Reflexive property

6. ΔDOA ~ ΔABC  <em> </em>{}                                        6. AA similarity postulate

7. ∠ABC ≅ ∠ODA  <em> </em>{}                                       7. CASTC

8. ∠ABC = ∠ODA  <em> </em>{}                                        8. Definition of congruency

9. ∠AEC ≅ ∠ABC  <em> </em>{}                                        9. Angles in the same segment

10. ∠AEC = ∠ABC  <em> </em>{}                                       10. Definition of congruency

11. ∠AEC = ∠ODA  <em> </em>{}                                        11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

Learn more about circle theorem here:

brainly.com/question/16879446

7 0
3 years ago
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