The sum of three numbers is fifty-four. The second number is four times the first number, and the third number is six more than the first number. What are the three numbers?

Answer:

1/6

Step-by-step explanation:

3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.

3/3=1

18/3=6

1/6

The probability of picking a green marble is 1/6.

To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.

The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).

So, the probability of picking a green marble can be written as:

P(green marble) = Number of green marbles / Total number of marbles

Substituting the values, we get: P(green marble) = 3 / 18

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6

Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.

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Answer:

0

x

16

-5

5.5

Step-by-step explanation:

Answer:

[tex]y = 19 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]

hope this helps you.

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~Hi1315~

Step-by-step explanation:

I hope you understand what I wrote

Answer:

just do 400 times 400 witch is 1600

Step-by-step explanation:

Answer:

89^2π

Step-by-step explanation:

Using the formulas

A=4πR2

D=2r

Solving for A

A=πD2=π·89^2≈24884.55541

Answer:

180 degrees - 101 degrees - 65 degrees = 14 degrees

Answer:

x=-1

Step-by-step explanation:

Answer:

10x = 2x -8

-2x -2x

8x = -8

divide by 8

x = -1

Answer:

the answer is 2.145

Step-by-step explanation:

EDGE 2021

Answer:

I think it is B, so the correct answer is 40

Step-by-step explanation:

Answer:

The other guy is correct, the correct answer is B. 40.

Step-by-step explanation:

Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40

Answer:  4

14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more

10+x=14

x=4

Answer:

Equation: 14 - j = 10

j = 4

Step-by-step explanation:

Answer:

x = 154°

Step-by-step explanation:

The 4 interior angles of the quadrilateral sum to 360°

The angles between the tangents and the radii = 90°

Then

x = 360° - (90 + 90 + 26)° = 360° - 206° = 154°

Answer:

D. 2√2

Step-by-step explanation:

sin 45° = 1/√2

P/H = 1/√2

x/4 = 1/√2

= 1/√2 × 4

= 4/√2

x = 4×√2/√2×√2

= 4√2 /2

= 2√2

Option D. 2√2

Answer:

i its 3 or 4

Step-by-step explanation:

Step-by-step explanation:

In a cylinder

We know that

[tex] \boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3} [/tex]

Answer:

approx. 943 cm^3

Step-by-step explanation:

π × 5^2 x 12 = approx. 943 cm^3

Answer:

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system

This means that in 2 hours time

400- 201.6= 198.4 mg was used up.

We need only 25 mg in the system

so 400- 25= 375 mg  time is needed

time          mg

2 hour      198.4

x                375

Using the cross product rule

x= 375*2/198.4

x= 3.780 hrs

Which means 3 hours and (0.78* 60)= 46.8 minutes.

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Answer:

The area of the cone not painted is approximately 196.35 cm²

Step-by-step explanation:

The question relates to similar shapes;

We have;

The base diameter of the cone, D₁ = 20 cm

The slant height of the cone, l₁ = 25 cm

The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm

Let 'x' represent the diameter of the circle formed by the drawn circle, we have;

By similar triangles, we get;

D₁/l₁ = x/l₂

x = l₂ × D₁/l₁

20/25 = x/15

x = (20/25) × 15 = 12

The curved surface area of the cone, A = π·r·l

The area of the curved surface of the entire cone, A₁ = π·r₁·l₁

r₁ = D₁/2

Therefore, we get, A₁ = π × 20/2 × 25 = 250·π

A₂ = π × 15/2 × 25 = 187.5·π

The area of the cone not painted, A = A₁ - A₂

∴ A = 250·π - 187.5·π = 62.5·π

The area of the cone not painted, A = 62.5·π ≈ 196.35

The area of the cone not painted ≈ 196.35 cm²

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

Answer:

[tex] Total \:area\approx 290.5\: ft^2 [/tex]

Step-by-step explanation:

Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]

(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])

[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]

[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]

[tex]\therefore Total \:area=1.57(121 + 64) [/tex]

[tex]\therefore Total \:area=1.57(185) [/tex]

[tex]\therefore Total \:area=290.45\: ft^2 [/tex]

[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]

Answer:

Graph 1 is not proportional

Graph 2 is proportional - y is 2 times x

Step-by-step explanation:

In graph 1, there is no x-y correlation

In graph 2, there is, when x=1, y=6

when x=2, y=12. Therefore, when x=3 y would equal 18.

Answer:

12

Step-by-step explanation:

I forgot Sorry

Answer:

The answer is 7/8.

You can simply bring 9⅛ to the left hand side

You'll have your answer .

To verify

10-7/8 = 73/8

which further simplifies to 9⅛.

Thanks

Answer:

x:5⁰

y:52⁰

Step-by-step explanation:

triangle:180⁰

the triangleis isoceles triangle so y:52⁰

so B is 72⁰

(14x+6)⁰=(14(5)+6)⁰=72⁰

Answer:

I searched it up and took a screenshot

Step-by-step explanation:

Here they are:

Btw the 1st one is for 6x + 2y = 12 and the second one is for 5x + 2y = 8​.

Hope this helps! : )

Step-by-step explanation:

the mean is simply

8+9+3+9+3+8+4+4=48

48/8=6

mean= 6

the median is simply

3,3,4,4,8,8,9,9

4+8=12÷2=6

median=6

the mode is simply(I'm not sure of this answer)

3,4,8,9

the range is

9-3= 6

Answer:

We first ALWAYS have to split the figure apart from each other,

lets split it into a triangle and a square!

Let's find the area of the triangle:

20(height) x 20(base) = 400!

400 x 1/2 (just dividing by 2) = 200!

*Remember* Formula of a triangle is:

B(base) x H(height) x 1/2 (basically dividing by 2)

Now time to find the area of the square!

20 x 20 = 400!

Now let's add both their areas:

400 + 200 = 600!

Step-by-step explanation:

600cm2 is your answer.

The figure has an area of 600 square centimeters.

In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:

[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)

Where:

By applying area formulas for squares and triangles, we expand (1):

[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)

Where:

If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:

[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]

[tex]A = 600\,cm^{2}[/tex]

The figure has an area of 600 square centimeters.

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Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35

A picture is attached!

Hope it helps!

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Let's simplify the ratio

[tex]\\ \sf\longmapsto 15:12[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 5:4[/tex]