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scZoUnD [109]
3 years ago
8

Chef Morgan’s restaurant has 24 tables. Fifteen of the tables each have one flower in a vase. The remaining tables have 5 flower

s in each vas. How many flowers are there? Show how you found the answer.
Mathematics
2 answers:
iogann1982 [59]3 years ago
5 0
60 flowers.

15 tables have 1 flower. 1X15=15

If 15 out of 24 have 1, that means 9 have 5. 9X5=45. 15+45=60
Ulleksa [173]3 years ago
3 0

Answer:

60 tables

Step-by-step explanation:

Total Number of tables in Chef Morgan's restaurant= 24 tables

Number of tables in each have one flower vase= 15 tables

Number of flowers in 15 table= 1×15= 15 flowers

Number of remaining tables =  24- 15= 9 tables

Number of flowers in each remaining table= 5 flowers

Number of flowers in remaining tables= 9×5 = 45 tables

Total number of flowers= 15+45= 60 tables

Hence, total number of tables= 60 tables

Hence, the correct answer is 60 tables

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Congruent Triangles on the Coordinate Plane
DaniilM [7]

Answer:

all are congruent via SAS

Step-by-step explanation:

5 0
2 years ago
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

  • 9b² + a² = 1 ²× a²b²
  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
8 0
3 years ago
You
saul85 [17]

Answer:

$29,005.97

Step-by-step explanation:

Cn = Co * (1 + i)^n

Cn = 104,986.99(1+.05/1)^(1*5)

Cn = 104,986.99(1+.05)^5

Cn = 104,986.99(105)^5

Cn = 104,986.99(1.2763)

Cn = 133,992.96, total money at end

133,992.96-104,986.99= $29,005.97, interest accumulated

4 0
3 years ago
Los cuadrilateros paralelismo ​
kkurt [141]

Answer:

¿Qué quieres que te responda?

Step-by-step explanation:

El paralelismo cuadrilátero es cuando las líneas paralelas se mantienen separadas a la misma distancia y nunca se cruzan (cruzan). Las líneas verdes marcan los lados de igual (la misma) longitud y las flechas azules marcan los lados que son líneas paralelas. Los cuadriláteros con líneas perpendiculares tienen lados que se encuentran en un ángulo recto (90 °).

3 0
3 years ago
Read 2 more answers
Describe the type of motion the object is experiencing.
DaniilM [7]
Upward motion
Hope that helps
6 0
3 years ago
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