Pamela's age is two times Jiri's age. The sum of their ages is 24. What is Jiri's age?

Answer:

3(n+4)

Step-by-step explanation:

you will take common

3(n+4)

3n + 12 can be factorized to get 3(n+4).

Factorization is the process of writing a number as the product of other numbers known as factors.

3n+12 = 3(n+4)

We have factorized the given expression as 3(n+4).

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Answer:

0.2

Step-by-step explanation:

0.201149425287356

0.20114942529

0.20115

0.2

Answer:

214.2mm

Step-by-step explanation:

To find area (I'm assuming a rectangle since you didn't specify)  All you need to do is multiply the two to find area.

Answer:

10 to 6

Step-by-step explanation:

Because the greatest common factor of 20 and 12 is 2 devide the two numbers by two and get 10 and 6, so 10:6.

Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.

Step-by-step explanation:

The median is the middle number in the sequence.

To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.

The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.

Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.

The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.

Given  the data sets of two sets of quiz scores,

Sample A = 5, 5, 5, 5, 5

sample B = 2, 2, 2, 2, 17

mean is the average of total samples,

mean of sample A = (5 + 5+ 5 + 5 + 5 )/5

mean of sample A = 5

Mean of sample B = (2 + 2 + 2+ 2 + 17)/5

mean of sample B = 5

since the mean of both sample are same,

median is the central digit of sets

median of A is 5 and the median of B is 2,

so the median of sample A is larger than sample B.

Hence option D is correct.

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Answer:

LCD-3x(x+2)

Final answer- x2-4x+4/ 3x2+6x

Step-by-step explanation:

okay so LCD is 3*x*(x+2)

= 3x(x+2)

so multiyling the fist expresion by x+2 and the second by x we get

2x+4+ x2-6x/ 3x(x+2)

= so

x2-4x+4/3x(x+2)

x2-4x+4/ 3x2+6x

if my answer helps please mark as brainliest.

Answer:

4 is b

7 is c

Step-by-step explanation:

have a great day :D

Answer:

question 1: B question 2: i think C im not sure tho i hope this helps

Step-by-step explanation:

Answer:

They are equivalent.

Step-by-step explanation:

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

Answer:

27

Step-by-step explanation:

4/3b=25+11, 4/3b=36,b = 36*3/4 so b = 27

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = [tex]\frac{distance}{time}[/tex]

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = [tex]105^{o}[/tex]

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bcCos A

   = [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) Cos 105

   = [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) x (-0.2588)

   = 2.5 x [tex]10^{7}[/tex] + 9 x [tex]10^{6}[/tex] + 7764000

   = 41764000

a = [tex]\sqrt{41764000}[/tex]

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

Answer:

• Own.  

• Their.

• Our.

• Their.

• Yours.

Explanation:

Possessive pronouns are used to show possession or ownership of a thing. In simple words, it shows the possession relationship of a thing with a person.

In the given sentences, the possessive pronouns are as follows-

• Own. Here, the use of "own" implies that whoever uses the park is responsible for their safety or anything that might happen to them.

• Their. Here, the possessive pronoun "their" is used to show that the children belong to the parents.

• Our. "Our" shows the possessive nature of the picnic tables to the speaker.

• Their. The same case with the second sentence. "Their" shows ownership of the dogs.

• Yours. "Yours" is used to talk about what belongs to you only.

Answer:

Im assuming your needing to divide

Step-by-step explanation:

If we do the math then A is 7 and D is 4 making 11 units

Answer:

16.9

Step-by-step explanation:

Answer:

i got no clue

Step-by-step explanation:

ignc

Step-by-step explanation:

Find out the expressions for the number of sweets sue and tony have now .

To proof

As given

Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets

thus

sue sweets = 18 - x

Tony sweets = 18 + x

As given

Sue then eats 5 sweets. Tony then eats half of his sweets

sue sweets becomes = 18 -5 -x

= 13 - x

Tony sweets become= 18 + x /2

= 9+ x/2

hence proved.

Hence proved

Answer:

x = 13.748 feet

Step-by-step explanation:

could not see what the answer should be rounded to

this is a right triangle so you can use the Pythagorean Theorem:

6² + x² = 15²

x = [tex]\sqrt{225-36}[/tex] = [tex]\sqrt{189}[/tex] ≈ 13.748

Answer: X

Step-by-step explanation: Because 6x3= 18

Answer: P = 132mm A = 330 mm^2

Step-by-step explanation:

Step-by-step explanation:

[tex] - 2 < 5 - \frac{k}{2} \\ - 7 < - \frac{k}{2} \\ \frac{k}{2} > 7 \\ k > 14[/tex]

Answer:

[tex]t= 7.67[/tex]

[tex]t= 10.13s[/tex]

Step-by-step explanation:

Solving (a):

[tex]H=-16t^2+122t+5[/tex]

Required: Time to hit the ground

This means that H = 0

So, we have:

[tex]0=-16t^2+122t+5[/tex]

Rewrite as:

[tex]16t^2-122t-5=0[/tex]

Solve for t using:

[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]t= \frac{122 \± \sqrt{(-122)^2 - 4*16*-5}}{2*16}[/tex]

[tex]t= \frac{122 \± \sqrt{15204}}{2*16}[/tex]

[tex]t= \frac{122 \± 123.3}{32}[/tex]

Split:

[tex]t= \frac{122 + 123.3}{32}[/tex] or [tex]t= \frac{122 - 123.3}{32}[/tex]

[tex]t= \frac{245.3}{32}[/tex] or [tex]t= \frac{-1.3}{32}[/tex]

[tex]t= 7.67[/tex] or [tex]t= -0.0406[/tex]

Time can not be negative. so: [tex]t= 7.67[/tex]

Solving (b):

[tex]h=-16t^2+162t+0.2[/tex]

Required: Time to hit the ground

This means that h = 0

[tex]0=-16t^2+162t+0.2[/tex]

Rewrite as:

[tex]16t^2-162t-0.2= 0[/tex]

Solve for t using:

[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]t= \frac{162 \± \sqrt{(-162)^2 - 4*16*-0.2}}{2*16}[/tex]

[tex]t= \frac{162 \± \sqrt{26256.8}}{32}[/tex]

[tex]t= \frac{162 \± 162.04}{32}[/tex]

[tex]t= \frac{162 + 162.04}{32}[/tex] or [tex]t= \frac{162 - 162.04}{32}[/tex]

[tex]t= \frac{324.04}{32}[/tex] or [tex]t= \frac{-0.04}{32}[/tex]

Time can not be negative. So:

[tex]t= \frac{324.04}{32}[/tex]

[tex]t= 10.13s[/tex]

Answer:

A=11

Step-by-step explanation:

11-13=2 and 2 is less than 3

Answer:

Step-by-step explanation:

Input:

a - 13<3

a<16

Answer: X = 12, Y = 5

Step-by-step explanation:

4x-27 = x+9

   +27      +27

4x = x + 36

-x     -x

3x = 36

3x/3 = 36/3

X = 12

3y + 19 = 11y - 21

     +21          +21

3y + 40 = 11y

-3y           -3y

40 = 8y

40/8 = 8y/8

Y = 5

The values of x and y are 12 and 5, respectively

The given parameters are:

The slant sides of an isosceles trapezoid are equal.

So, we have:

[tex]EH =FG[/tex]

This gives

[tex]4x - 27 = x + 9[/tex]

Collect like terms

[tex]4x - x = 27 + 9[/tex]

[tex]3x = 36[/tex]

Divide through by 3

[tex]x = 12[/tex]

Also, the diagonals of an isosceles trapezoid are equal.

So, we have:

[tex]EG = FH[/tex]

This gives

[tex]3y + 19 = 11y - 21[/tex]

Collect like terms

[tex]11y - 3y =19 + 21[/tex]

[tex]8y = 40[/tex]

Divide through by 8

[tex]y = 5[/tex]

Hence, the values of x and y are 12 and 5, respectively

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Answer:

0.06831

.....................

Answer:

_________    

0.0705454

Step-by-step explanation:

Answer:

1216 kg

Step-by-step explanation:

19/8 = 9.5

128 x 9.5 = 1216

9514 1404 393

Answer:

Step-by-step explanation:

You are asked only for the setup, not the solution.

I find it convenient to use variable names that remind me of what they stand for. Here, we're asked for the admission prices for adults and children, so 'a' and 'c' are convenient variables to represent those values.

  Let a represent the admission price for an adult.

  Let c represent the admission price for a child.

__

The first sentence gives a relation between the numbers and the total cost:

  162 = 12c +3a

The second sentence gives a different relation:

  122 = 8c +3a

These are the "system of equations."

_____

You aren't asked for the solution, but it is (a, c) = (14, 10). It can be found easily by subtracting the second equation from the first.

Answer:

20 is 80 of 25

Explanation:

20x10/8=25

A percentage is a way to describe a part of a whole. 20 is 80% of 25.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the number be x. Therefore, we can write,

80% of x = 20

0.80 × x = 20

x = 20/0.8

x = 25

Hence, 20 is 80% of 25.

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