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3 years ago

Mrs. Flamingo and Professor Peach are attempting to settle a score in

Mathematics

1 answer:

kobusy [5.1K]3 years ago

7 0

Answer: Colonel Horseradish has 10 candlesticks.

Step-by-step explanation:

Let x represent the number of candle sticks that Colonel Horseradish has.

Mr. Brown has 10 more than two

thirds of the number of candlesticks that Colonel Horseradish has. It means that the number of candlesticks that Mr Brown has is

2x/3 + 10- - - - - - - - -1

Miss Lavender has three times as many as Mrs. Gray, who has 20 fewer than Colonel Horseradish has. The number of candlesticks that Mrs. Gray has is

(2x/3 + 10) - 20 = 2x/3 - 10

It means that the number of candlesticks that Miss Lavender has is

3(2x/3 - 10) = 2x - 10/3 - - - - - -2

If Mr. Brown and Miss Lavender actually have the same number of candlesticks, it means that

2x/3 + 10 = 2x - 10/3

Multiplying both sides of the equation by 3, it becomes

2x + 30 = 6x - 10

6x - 2x = 30 + 10

4x = 40

x = 40/4

x = 10

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Solve for r V=1/3πh²(3r-h)

STALIN [3.7K]

Rewrite the equation:

1/3 ⋅ ( πr2 ( 3r−h )) = V.

4 0

3 years ago

Solve log(2x+3)=3 A. 500 B. 997 C. 1/2 D. 997/2

kondor19780726 [428]

2x+3=10^3 now solve for x.....hope it helps

3 0

3 years ago

In a math competition, every question that is answered correctly gets a score of 4. Wrong gets a score of -2. and not answered g

11111nata11111 [884]

Answer:

Step-by-step explanation:

First we need to find the score of the incorrect answers and the questions that were not answered.

Score for the incorrect answers = 4*(-2) = -8

Score for the questions not answered = 6*(-1) = -6

Score for the questions answered correctly = 106 - [ (-8) + (-6) ]

= 106 -[-14]

= 106 + 14

= 120

Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer

= 120 ÷ 4

= 30

30 questions were answered correctly.

7 0

2 years ago

Hey guys I don’t understand this one so can y’all please help me? :))))

aksik [14]

Answer:

11) c = 16.1

12) c = 11.4

Step-by-step explanation:

11)

a² + b² = c²

8² + 14² = c²

64 + 196 = c²

c² = 260

$\sqrt{c^2} =\sqrt{260}$

c = 16.1

12)

a² + b² = c²

7² + 9² = c²

49 + 81 = c²

c² = 130

$\sqrt{c^2} =\sqrt{130}$

c = 11.4

6 0

3 years ago

Read 2 more answers

The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are

Mashcka [7]

Answer:

The area of triangles are 16 cm^2 and 49 cm^2

Step-by-step explanation:

we know that

If two figures are similar, the ratio of its perimeters is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller triangle in square centimeters

y ----> the area of the larger triangle in square centimeters

we know that

$z=\frac{4}{7}$

$\frac{x}{y}=z^2$

$\frac{x}{y}=(\frac{4}{7})^2$

$\frac{x}{y}=\frac{16}{49}$

$x=\frac{16}{49}y$ -----> equation A

$x+y=65$ ----> equation B

solve the system by substitution

substitute equation A in equation B

$\frac{16}{49}y+y=65$

solve for y

$\frac{65}{49}y=65$

$y=49\ cm^2$

Find the value of x

$x=\frac{16}{49}(49)$

$x=16\ cm^2$

therefore

The area of triangles are 16 cm^2 and 49 cm^2

3 0

4 years ago

Read 2 more answers