Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.

Answers

Answer 1

Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

a = 12


Related Questions

Find the volume of the figure below. Round your answer to the nearest hundredth if necessary,
8 mi
6 mi
8 mi
4.3 mi
11 mi
97.3 mi?
Ob
177.8 mi?
255.5 mi?
Od
189.2 mi?

Answers

Answer:

d.   V = 189.2 mi³

Step-by-step explanation:

V = Bh

V = (11 mi)(4.3 mi)/2 × 8 mi

V = 189.2 mi³

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what two numbers add to 13 and subtract to 3?

Answers

Answer:

8 and 5.

Step-by-step explanation:

x - y = 3

x + y= 13

by elimination method ,we get

2x = 16

x = 16/2

x = 8

8 + y = 13

y = 13 - 8

y = 5

x = 8 ,y = 5

Answer:

8 and 5

Step-by-step explanation:

Algebra 2 will mark brainliest. 4 pictures 4 questions

Answers

Answer:

decreasing because x is negative.

Which inequality is true when x=6? *

Answers

Answer:

10+x=16

Step-by-step explanation:

The diameter of a circle is 14 ft.
What is the area of the circle in terms of π?

Answers

Answer:

49π ft²

Step-by-step explanation:

[tex]A=\pi r^2[/tex] where r is the radius of the circle

To find the radius, divide the diameter by 2:

14 ft ÷ 2 = 7 ft

Plug the radius 7 ft into the equation

[tex]A=\pi (7)^2\\A=49\pi[/tex]

Therefore, the area of the circle in terms of pi is 49π ft².

I hope this helps!

Answer:

49π

Step-by-step explanation:

Diameter=14

Radius=14/2=7

Area=πr squared

Area=7 squared π

Area=49π

ASAP, PLEASE ANSWER. WILL AWARD BRAINLIEST

Find the area of the shape

Answers

Answer:

54 unit^2.

Step-by-step explanation:

The area = the sum of the 2 triangles.

Area of a triangle = 1/2 * base * height.

So here:

A = 1/2 * 4 * 12 + 1/2 * 5 * 12

= 24 + 30

= 54

Answer:

ABCD = 54 u²

Explanation:

the area of the polygon = the area of the triangle ADC + the area of the triangle ABC

the area of a triangle = (height × base)/2

A ADC = (DE×AC)/2

A ADC = (4×12)/2

A ADC = 48/2

A ADC = 24 u²

A ABC = (BF×AC)/2

A ABC = (5×12)/2

A ABC = 60/2

A ABC = 30 u²

ABCD = A ADC + A ABC

ABCD = 24 + 30

ABCD = 54 u²

10/b10=6/b-2 solve for b pls

Answers

the answer is b= -2/5

Help please! No file attachments please, only write your answers in response to question.

Answers

this is the correct answer for the problem
AFK,CGJ,DEL,BHM

A teacher gave a test to three classes that contained 27, 25, and 23 students. A total of 18 students scored an A on the test. Based on this information, which statement is true?​

Answers

Ratio of classes A, B, C = 4 : 6 : 5, respectively
4 + 6 + 5 = 15
So, class A represents 4/15 of the TOTAL population
Class B represents 6/15 of the TOTAL population
Class C represents 5/15 of the TOTAL population

So, weighted average of 3 groups combined = (4/15)(65) + (6/15)(80) + (5/15)(77)
= 260/15 + 480/15 + 385/15
= 1125/15
= 75

Answer: B

Please please ASAP ASAP please ASAP thank you so much bye no links or files

Answers

Answer:it looks like 90degrees from here so 45 since the middle line is halving it

Step-by-step explanation:

solve 6x + 6 = 3x - 6

Answers

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

help me please..............

Answers

Answer:

a.)48

b.)528

c.)448

Step-by-step explanation:

a.)8x8=64. 4x4=16 64-16=48

b.)48(from a. answer)x11=528

c.)11x8(x2 for the other side)=176. 11x4x4=176.

48x2=96. 176+176+96=448

Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. The resulting interval is (22.96, 26.64). Which of the following correctly interprets the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay within one month?

90% of all chickens at this farm lay between 22.96 and 26.64 eggs.
In repeated sampling, 90% of the time the true mean number of eggs chickens at this farm lay is 24.8.
Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
In repeated sampling, 90% of the time the true mean number of eggs laid by chickens from this farm will be captured within the interval (22.96, 26.64).

Answers

Answer:

C. Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.

Step-by-step explanation:

Edge 2021

If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?

Answers

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

Hey can you help me fast!!

Answers

Answer:

I believe the answer would be -4 1/2.

13/18 goodluckkkkkyyyy

a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat

Answers

Step-by-step explanation:

a^2 + b^2 = c^2

height + 6^2 = 16^2

height = 14.83

Find the measure of arc DB in OP.
mDB=

Answers

Answer:

90

Step-by-step explanation:

First of all you have to know that when 2 lines are perpendicular to each other,they produce a 90° angle, therefore DP||TD. Then you should remember that the measure of an arc is the same as the measure of the angle. So angle DB is 90°.

heeeeeeeeeeeelp me pleeeease

Answers

Answer:

correct answer is C hope it helps you have a good day

please mark me as brain list

A number from 13 to 21 is drawn at random.
P( a prime number)

Answers

Answer:

Probability[Prime number] = 1/3

Step-by-step explanation:

Given:

Total number between 13 to 21;

13, 14, 15, 16, 17, 18, 19, 20, 21

Find:

Probability[Prime number]

Computation;

Total number between 13 to 21 = 9

Total number of prime number;

13, 17 ,19

Total number of prime number = 3

Probability pf event = Number of favorable output / Total output

Probability[Prime number] = Total number of prime number / Total number between 13 to 21

Probability[Prime number] = 3 / 9

Probability[Prime number] = 1/3

The students in two 7th grade classes were asked, "How many text messages did they send over the past weekend?" The data was collected and a dot plot was created for each class. For what values do class A's distribution and class B's distribution overlap?​

Answers

Answer:

2, 3, 4, and 5

Step-by-step explanation:

Class A and Class B's distributions overlap for the values of 2, 3, 4, and 5. This can be seen in the dot plot below since all of these values have inputs on both of the class' distributions. Values 0 and 1 are not included because they only have inputs for Class A, while values 6 and 7 are not included because they only have inputs for Class B. In order for the values to overlap they need to be included in both class distributions.

Answer:

2,3,4,5

Step-by-step explanation:

Class A and Class B distribution overlap at 2,3,4 and 5 because if you look at both graphs you can see how they both overlap each other.

a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination​

Answers

Answer:

800 full marks

Step-by-step explanation:

295 + 25 = 320 marks required to pass

320 / 0.40 = 800 full marks

Can u solve this puzzle?

Answers

Answer:

i dont think so sorry

Solve for X -3/4(x+2)=6

Answers

Answer:

-10

Step-by-step explanation:

-3/4(x+2)=6

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

x+2=(6/1)(-4/3)

x+2=-24/3

x+2=-8

x=-8-2

x=-10

At the Fisher farm, the weights of zucchini squash are Normally distributed. Which standardized weight represents the top 10% of the zucchinis?

Find the z-table here.

–1.64
–1.28
1.28
1.64

Answers

Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

Here, X is sample, is μ mean and is σ standard deviation.

At the Fisher farm, the weights of zucchini squash are Normally distributed.

For the normal distribution let the value of mean is 0 and standard deviation 1. Thus,

[tex]Z = \dfrac{X - \mu}{\sigma}\\Z = \dfrac{X - 0}{1}\\Z=X[/tex]

For the top 10% of the zucchinis, the value of α is 0.9. From the table for this value the z score is,

[tex]Z=X=1.28[/tex]

Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.

Learn more about the z score here;

https://brainly.com/question/13299273

#SPJ2

hellllllllpppppp pls​

Answers

Answer:

A'B' = 8, M<A' = 37

If the scale factor is 2, then every coordinate point of the original triangle is multiplied by the scale factor 2.

what goes in the highlighted box?

Answers

Answer: 11y

Step-by-step explanation:

When you add 6y and 5y that equals 11y <3

Answer:

11Y goes in the highlighted section.

Step-by-step explanation:

Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.

Then add the Ys together.

I can't really explain anymore, but i hope this helps!!!!

Then your final answer would be y=6. :)

answer quick please look at attachment.

Answers

Answer:

c) KJ and JH

Step-by-step explanation:

Answer:

lowkey gonna say B

Step-by-step explanation:

shshevr fcfvdbd

What is the slope of y =
-4?

Answers

Answer:

20

Step-by-step explanation:

What is -1/2 (-5/6 plus 1/3) simplified

Answers

Answer:

0.25 or 5/12 - 1/6

Step-by-step explanation:

-1/2(-5/6+1/3), do PMDAS. (-5/6) = -0.833 (repeated) and (1/3) = 0.333 (repeated) and you add them both (-0.833 + 0.333) = -0.5 and -1/2 = -0.5 and when you multiply them both it would equal 0.25. or another explanation for the answer is 5/12 = 0.41666666666 and 1/6 = 0.16666666666 and when you subtract them both you get 0.25, I hope this was helpful.

19. Find the value of:
4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°​

Answers

9514 1404 393

Answer:

  107/18

Step-by-step explanation:

Your calculator and/or knowledge of trig function values can help you evaluate this.

  = 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)

  = 4/9 +3/4 -9/4 +9 -2

  = 107/18

___

tan(30°) = 1/√3

tan(45°) = 1

tan(60°) = √3

sin(60°) = cos(30°) = √3/2

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