Mathematics High School

1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.

2. George went to the store for a sale on designer socks. Each pair was $3 off. She bought 6 pairs for $31.20. How much was the original price of the socks?

Answers

Answer 1

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

Related Questions

Please help me!! No files allowed. I need the answer and an explanation!

Answers

Answer:

1/324

Step-by-step explanation:

HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

rap music

Step-by-step explanation:

Answer:

i’m not sure if these are right or not but

Step-by-step explanation:

the first one is no

i think the second one is no

i think the third one is yes

i think the fourth one is yes

i am not sure and i’m REALLY sorry if its wrong

Which of the following properties is represented by the calculations in the photo?

A) multiplication property of equality
B) zero sum property
C) addition property of equality
D) zero product property

Answers

Answer:

D. zero product property

Step-by-step explanation:

Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.

Thus,

xy = 0, therefore,

x = 0 or y = 0

Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.

What is AB?

Triangle ACB is right angle triangle. The length of AC is 12 and BC is 35.

Answers

Answer:

the answer is 35

Step-by-step explanation:

because if BC is 35 that means AB will have to be that same because it's a triangle

The required value of AB is 33 units for the given right triangle.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Assume BC is the hypotenuse,

Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.

AB² + AC² = BC²

AB² + (12)² = (35)²

AB² + 144 = 1225

AB² = 1225 -144

AB² = 1081

AB = 32.8785

Rounded to two decimal places,

AB = 33 units

Therefore, the required value of AB is 33 units.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ2

Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did she have left for gift C? Solve

Answers

Answer: [tex]\$16\dfrac{9}{10}[/tex]

Step-by-step explanation:

Given

Hannah had 30 dollars

Money spent on gift A

[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]

money spent on gift B

[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]

Money spent on gift C

[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]

HELP ASAP!!! select all the descriptions that apply to the transformation!

Answers

Answer: A and B

Step-by-step explanation:

The shape is moving from right to left and down

Use the box method to distribute and simplify (2 + 1)(2x - 3). Drag and drop the
terms to the correct locations of the table.

Answers

Answer:

2x^2-x-3

(2x)(-3)

(x)

(1)

Step-by-step explanation:

Distribute

(2x^2) (-3x)

(2x) (-3)

Solve for x HELP ASAP

Answers

First you have to do an exercise up in a calculator an good answer is an elephants with her sweetie pet that is a microwave and they surf in a bottle of red wine. Then they get up to the moon an run in the park

The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing

Answers

Answer:

32%

Step-by-step explanation:

[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]

(1088)(100)=(3400)(x)

108800=3400x

x=32

32%

The percent of the budget spent on housing is 31.76%.

What is percentage?

Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.

Given that, The riddle family income is 3400 per month.

They spend 1088 per month on housing.

We know the formula for percentage which is;

Percentage = (given value/whole value)*100,

Percentage = (1080/3400)*100

Percentage = 31.76

Hence, The percentage is 31.76%.

To learn more about percentage check:

https://brainly.in/question/33820520?

#SPJ5

Triangle ABC was reflected across an axis.
A. State what axis it was reflected across
B. Give the ordered pairs of the reflected triangle

Answers

reflected across the x axis
ordered pairs are b’(3,1), a’(4,6), and c’(6,2)

select all the measurements that create a unique triangle

Answers

First of all, a journey refers to traveling from one place to another. When it comes to journeys, train journeys take the top spot. A train journey certainly is a wonderfully joyous occasion. Furthermore, train journeys fill individuals with a feeling of intense excitement. This mode of the journey is best when the travel distance is long. A train journey creates an aura that cannot be experienced with other types of journeys.
My Experience of Journey by Train
I have always been an avid supporter of train journeys. My involvement with train journeys began in childhood. I live in Lucknow and from here I have undertaken many train journeys. Furthermore, since childhood, I have paid several visits to the hill station of Almora to meet my relatives. Almora is a hill station located in the state of Uttarakhand. Most noteworthy, Almora is situated in the Himalayan mountain region. Due to this, trains cannot travel directly to Almora. Consequently, Kathgodam is the last town station accessible by trains before the mountain range begins.
The trip from Lucknow to kathgodam is quite a lively experience. I have always ensured the reservation of my seats beforehand. So, my train journey begins from Lucknow railway station. As the train undergoes motion and leaves the Lucknow railway station, my excitement begins to rise. Moreover, as the train gathers speed, a thrilling feeling overtakes me.
My train journey from Lucknow to Kathgodam is probably 8-10 hours duration. However, I enjoy every minute of it in spite of the journey being so long. Furthermore, all along the journey, one can purchase items of food and drinks. I almost always purchase meals and refreshments at least twice in the journey.
When slumber overtakes me, I make use of the sleeping berth. I personally find sleeping on the train berth very comfortable. When I wake after a deep sleep, mountains are visible from a distance. Moreover, as the train approaches Kathgodam with menacing speed, the view of mountains gets bigger and bigger. Also, my amusement greatly rises as I see the Himalayas draw closer. Finally, as the train stops at Kathgodam, my delightful train journey comes to an end.
Why Do I Like to Travel by Train?
Comfort is one of the biggest advantages of a train journey. Most noteworthy, one can move freely in a train cabin. Furthermore, in trains, there is a possibility of an ample foot room. Moreover, trains offer comfortable sleeping berths. All of this makes the train journey a relaxing experience.
Beautiful sightseeing is another noteworthy benefit of train journeys. As the train travels, one can enjoy the views of the countryside, farms, forests, factories, etc. This makes train journeys more comprehensive than journeys by air or road.
Train journeys offer a variety of opportunities to pass time. Furthermore, the train offers a sociable environment. In train journeys, conversations between passengers almost always take place. One can make new friends with traveling passengers on the train easily. Also, one can spend time in a handsome manner on a train journey. In a train journey, one can spend time reading something, listening to music, watching videos, sleeping/resting comfortably, etc.
To sum it up, train journeys are truly one of a kind. The train journey offers uniqueness like no other journey. Most noteworthy, the charm of such a journey is unmatchable. The train journey certainly offers an unforgettable rich experience.

A. 00:00 Two angles and an included side
C. 00:00 Two sides and an included angle
E. 00:00 All three sides
Step-by-step explanation:
A triangle can be defined as a shape with 3 sides.
A unique triangle can be defined as a triangle that no other triangle can be drawn or created from it.
It is also called a unique triangle because it can be drawn only in a specific way.
Features of a Unique Triangle includes:
a) A triangle that the length of its three sides is known or given.
b) A triangle that the length of two sides is given as well as an included angle.
c) A triangle that two angles are given or known as well as the length of an included side.
d) A triangle that two angles are known or given and a non-included side length is given as well.

An English teacher reviewed 2/3 of an essay in 1/4 of an hour. At this rate, how many essays can she review in 1 hour?

Answers

Answer: 2 2/3

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Joseph orders 11 pizzas, how much does Joseph pay in total?

Answers

Answer:

£139

Step-by-step explanation:

£12.50 * 11 = 137.50

137.50 + 1.50 = £139

Answer:

137.5 + 1.50 = £139

Step-by-step explanation:

Please Give brainliest

Please Help!!! Unit 8: Right Triangles & Trigonometry Homework 6: Trigonometry Review

Answers

The value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]

Triangles and Angles

From the given diagram, we have the following

Adjacent = 14Hypotenuse = 13

The required angle is x

Using the SOH CAH TOA identity

[tex]cos \theta =\frac{adj}{hyp}\\ cos \theta =\frac{14}{13}\\ \theta = arccos(\frac{14}{13} )[/tex]

Hence the value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]

Learn more on SOH CAH TOA here: https://brainly.com/question/22307176

A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? (No links)

Answers

Answer:

she have 29 seed for the pasture

$448,740

FENCING: $27(255+255+450+450+450)/3 = $16740
GRASS SQUARE: 450^2 * $2= $405000
GRASS TRIANGLE: sqrt(255^2-120^2) = 225, 120/2 * 225 = 60 * 225 = 13500 ft^2, 13500 * 2 = $27000
$16740 + $405000 + $27000 = $448,740

Factor the expression using the GCF.
42 – 12 =

Answers

Answer:

Step-by-step explanation:

Well 42

Will mark brainliest for the **CORRECT** answer!

Answers

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14

Answers

Answer: its 4x(3+2)-6÷ 1=14

Step-by-step explanation: in the picture

Answer this question please

Answers

Can I please see the graph and the options. I want to help but I can’t see the graph or the options.

PLEASE HELP, ONLY HAVE A FEW MIN LFT!!!!
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data.

Which statement would be a reasonable prediction based on the scatterplot and trend line?

A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.

Answers

Answer: According to the trendline it would be about 6 lbs

Step-by-step explanation:

Answer:

Step-by-step explanation: I did the test </3

3. The angle between two equal sides of an isosceles triangle is 52º.
Each of the equal sides is 18 cm long.
a) Determine the measures of the two equal angles in the triangle.
b) Determine the length of the third side.
c) Determine the perimeter of the triangle.

Answers

Answer:

a) 64° each

b) 15.78 cm

c) 51.78 cm

Step-by-step explanation:

a) (180 - 52)/2 = 64°

b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm

c) 18 + 18 + 15.78 = 51.78 cm

A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A. 1000in.3 B. 1300in.3 C. 1200in.3 D. 1100in.3

Answers

Answer:

The answer is B, have a wonderful day!

Step-by-step explanation:

Matt tried to evaluate 49 x 24 using partial products. His work is shown below

Answers

Answer:

step 5

Step-by-step explanation:

Need Help ASAP!!! I don’t get it

Answers

Answer:

Step-by-step explanation:

134-(-80)=134+80=214

Write -8 7/8
as a decimal number,

Answers

Answer:

-8.875

Step-by-step explanation:

8 7/8 > -71/8 > -8.875

Please show me step by step how to do this

Answers

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)

Where:

[tex]p_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Progression rate.

[tex]n[/tex] - Index of the n-th element of the sequence.

[tex]p(n)[/tex] - n-th element of the series.

If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:

[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]

[tex]r = 4[/tex]

The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].

Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 1197[/tex]

And the next three terms of the sequence are:

n = 5

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 17[/tex]

n = 6

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 21[/tex]

n = 7

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 25[/tex]

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

divide 54 books between A and B in the ratio 13:14

Answers

Answer:

Step-by-step explanation:

i think,

13:14=54

13k+14k=54

27k=54

k=54/27

k=2

13×2=26 and 14×2=28

to verify the correctness of the answer-26+28=56

have a nice day

hope it helps

The ratio of the divide is mathematically given as

26:28

What is the ratio of the divide?

Question Parameters:

divide 54 books between A and B in the ratio 13:14

Generally, ratios are mathematically given as

X=13/27*54

X=26

Y=14/27*54

Y=28

In conclusion, the ratio of the divide would be

26:28

Answers

Answer:

2/5!

Step-by-step explanation:

Find the perimeter of a rectangle if the length of one side is 9x + 6y and the width is 13x + 2y.

Answers

Answer:

perimeter of rectangle = 2 (length + breadth)

= 2(9x + 6y + 13x + 2y)

= 2(22x +8y)

= 44x + 16y

Step-by-step explanation:

9x+6y

9-9x+6-9y both side subtract 9

x+(-3)y

x-3y the answer

13x+2y

13-13x+2-13y

x+(-11)y

x-11y .

follow me

please help.
I need which letters to click

Answers

The answers are A CE

Other Questions

explain how t v is a cheap means of communication Which of the following is NOT a benefit of colonialism?A: Unity of Social CustomsB: Education C: Modern Technology D: Railroadsthis is a exam plz help :) Hii! I really need help on this with the spree that answers! For 30 points. I dont wanna waste my points so make sure your answer is right. The Cotton GinAndrea BrecheenThe cotton gin was one of the most amazing and tragic inventions of early America. The cotton gin is credited to the brilliant and creative American inventor Eli Whitney. Because Whitney's invention made cotton harvesting easier, it allowed farmers in the South to increase production. The cotton gin simplified the process of removing the cotton from the seeds, a process formerly done by hand.As a result, Southern plantations increased their production of cotton from 750,000 bales in 1830 to 2.85 million bales just 20 years later. Because of the increase in production, the farmers in South became even more dependent on cotton for revenue. This new reliance on cotton increased the need for slavery. More slaves were needed to farm the ever expanding cotton plantations. If Whitney had known the effects his invention would have on slavery, he never would have created it.Which of the following would best support the author's claim that more slaves were needed after the invention of the cotton gin? (7 points)Examples of other inventions that affected slaves' livesInformation related to the life and times of Eli WhitneyStories of the first time people saw the cotton gin working in the fieldDetails about the number of slaves working cotton 20 years after the cotton gin In a sample of neon, carbon, and oxygen gas, the total pressure is 9 atm.The partial pressure of neon is 2 atm and the partial pressure of oxygen is 2atm. What is the partial pressure of carbon?9 atm3 atm5 atm4 atm Which of the following prevents one branch of government from becoming too powerful?abthe Supremacy Clausethe separation of church and statethe separation of powersthe Bill of RightsC d Adam bought 6 yogurt cups for $8. Which of the following represents a higher unit rate than what Adam paid? a. 4 yogurt cups for $6 b. 8 yogurt cups for $10c. 10 yogurt cups for $12 d. 12 yogurt cups for $14 Que es un advervioplis ayuda 4. How did colonization alter traditional subsistence farming in Equatorial Africa? (plantations) Select all the expressions that are equivalent to 16x + 3616(x + 20)x(16 + 36)4(4x + 9)2(8x + 18)2(8x + 36) Give an example to show that when two prime numbers are added, the resultmay be an odd number. A block of iron has dimensions of 1 cm x 2 cm x 5 cm and has amass of 799What is its density? (V=lxwxh) Can anyone help with what the formula to calculate the volume of a Rhombohedron (3D Rhombus) is? Could you also give me an example of how to do it please? What is the volume of .80 g of O2 gas at STP? Can you help me I forgot Last summer Olivia earned $3800 by selling cakes. She invested some of the money in a savings account that paid 4.5%/yr and the rest in a government bond that paid 5.5%/yr. After one year, she has earned $180 in interest. How much did she invest at each rate? [4] Solve the proportion17/4 = y/6 Brianna has a 50$ online gift certificate from a book store. The cost of each book is $9. There is also a shipping charge of 5$ for her entire order. How many books can Brianna buy without spending more than her gift certificate amount? Write a short note on United States of America. 2 Find the value of X * 5 2/5 4 9 3/5

1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age. 2. George went to the store for a sale on designer socks. Each pair was $3 off. She bought 6 pairs for $31.20. How much was the original price of the socks?

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.

2. George went to the store for a sale on designer socks. Each pair was $3 off. She bought 6 pairs for $31.20. How much was the original price of the socks?