Mathematics High School

Solve this:
Raj is 12m years old. His son was born when he was 9m years old.
(i) Find Raj's age 5 years later.
(ii) Find the sum of their ages in 5 years' time.

Answers

Answer 1

Answer:

i = 17 Years old
ii = 25 years

Step-by-step explanation:

i = 12 + 5 =17

ii = his son was born when he was 9, hes 12 now, so his sons 3. In 5 years time his sons 8 and hes 17, 8+17= 25

Related Questions

The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?​

Answers

The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

The equivalent expression using exactly two terms

The perimeter is given as:

P =  15 + 2x + 7 + 15 + 2x + 7

Collect like terms

P =  2x + 2x + 7 + 15 +  15  + 7

Evaluate the like terms

P = 4x + 44

The area of the garden

The area of the garden is given as:

A = 15(2x + 7).

Expand

A = 30x + 105

Manual's expression of the area is 30x + 7

Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105

The difference between the areas of Manual’s garden and Sasha's design

The side length of Sasha's design is:

L = 3x + 5 in

So, the area is:

A = (3x + 5)^2

Expand

A = 9x^2 + 16x + 25

The difference between both areas is:

Difference = 9x^2 + 16x - 30x + 25 - 105

Evaluate

Difference = 9x^2 - 14x - 80

Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80

The perimeter of Sasha's garden

This is calculated using:

P = 4L

So, we have:

P = 12x + 20

The difference between both perimeter is:

Difference = 12x - 4x + 20 - 44

Evaluate

Difference = 8x - 24

Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

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A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?

31 miles
21 miles
22 miles
32 miles

Answers

Answer:

Step-by-step explanation:

36-3=33

33 divided by 1.5 equals 22

answer is 22 miles

Answer:

Step-by-step explanation:

1.5x + 3 = 36

1.5x = 33

x = 22 miles


What is the value of the expression 30-(-6)?
0 -180
O -5
O 5
O 24

Answers

I believe it’s 24, sorry if i’m wrong.

Answer:

36? its not on there but that is it.

find the area of the nearest hundredth use 3.14 for π​

Answers

Answer:

254.34

Step-by-step explanation:

3.14 x 9^2

or

3.14(9 x 9)

hope this helps

have a good day

Mr. Robinson sets 36 glasses on
a table. He puts the same number
of glasses in each of 9 rows. How
many glasses does he put in
each row?

Answers

4 because you divide 36 by 9
hey there!

We are given that

He puts 36 glasses on a table

And puts same number in 9 rows

So we need to know how many glasses are kept.
Leg number of glasses kept be A
=> 9 x A = 36
=> A = 36/9
=> A = 4
Hence he puts 4 glasses in each row

Hope this helps your dear :)

Polynomials & Factoring
(4m+n)(m-2n)

(2a-4b)(7a-2b)
Thank you!

Answers

Answer4

m

2

−

7

m

n

−

2

n

2

Step-by-step explanation:

find the unit vector in the direction of v= 2i+ j + k

Answers

Direction Angle of the Vector : y = -5i + 2j

What is the length of the hypotenuse of the triangle ABC
what is the length of the shorter leg of triangle ABC
What is the length of the longer leg of triangle ABC
thank you sm!!!!

Answers

Answer:

  9.  AB = (40/3)√3

  10.  BC = (20/3)√3

Step-by-step explanation:

The ratios of side lengths in the "special" 30-60-90° triangle are ...

  1 : √3 : 2

__

If D is the point where the altitude meets AB, then we have for the left triangle ...

  CD : AD : CA = 1 : √3 : 2 = 10 : 10√3 : 20

and, for the right triangle ...

  BD : CD : BC = 1 : √3 : 2 = (10/√3) : 10 : (20/√3)

and for the large triangle ...

  BC : CA : AB = 1 : √3 : 2 = (20/√3) : 20 : (40/√3)

__

9.

The hypotenuse of ΔABC is AB, shown above to be ...

  AB = 40/√3 = (40/3)√3

__

10.

The shorter leg of ΔABC is BC, shown above to be ...

  BC = 20/√3 = (20/3)√3

Help me solve this problem please

Answers

Answer :

C

Explanation :

The question given in C is statistical as compares the data in an item out of a set

How far does the unicycle move if the wheel turns once?

Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m?

Answers

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

Circumference of a circle

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

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Calculating the relative frequencies from the data given in the table. choose all that correctly describe an association between favorite subject and grade.
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 7th graders than 8th graders prefer english.
a higher percentage of 8th graders than 7th graders prefer math/science.

Answers

Answer:

a higher percentage of 8th graders than 7th graders prefer history.

a higher percentage of 8th graders than 7th graders prefer math/science.

Step-by-step explanation:

The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.​

Answers

Circumference=2 pi r, or pi d
So, 6,575.16/3.14 exactly is 2094.
d=2094

The coach has $400 to spend on the end of season party. She
purchases awards for $80 and decorations for $35. She will use the
remaining money to order pizza. If pizzas cost $12 each, what is the
most pizzas can she buy?

Answers

Answer 23 pizzas
Explain

80+35+12x = 400
Subtract 80 and 35 from both sides to combine like terms
12x = 285
Divide both sides by 12
X = 23.75
She can buy 23 pizzas at $12 for $276
Plus $80 and $35 for grand total of $391

Jocelyn decides to research the relationship between the length in inches and the weight of a certain species of catfish. She measures the length and weight of a number of specimens she catches, then throws back into the water. After plotting all her data, she draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 32 inches would weigh?

Answers

The amount I can predict a catfish with a length of 32 inches would weigh is 28in.

What is the catfish measurement about?

Let say the fraction is = yx + b

m = [tex]\frac{20-4}{23-20}[/tex]

= 6/3

=2

Note also that 4= 2 x 20 x b

Make b the subject of the formula and it will be=

B= -36

Therefore, the function will be:

Y= 2x - 36

If x = 32

Then  y = 2. 32 - 36

=28

Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.

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Ruben had a 18.4 m length of rope. He used 6.4 m of the rope
to make a rope ladder for a playground. He cut the remaining
rope into 2 equal pieces to make tire swings. How long is each
tire swing rope?

Answers

Answer:

3.2m

Step-by-step explanation:

First you do 18.4-6.4m, to get the amount of rope left after Ruben has used some to make that rope ladder. Then you get your answer, which in this case is 6.4, and divide it by 2. This way we get the length of one of the two equal lengths. After this we get 3.2m, which is the length of each tire swing rope!

Answer:

6 m.

Step-by-step explanation:

Remaining length = 18.4 - 6.4 = 12 m

So the length of each swing rope

= 12/2

= 6 m.

It's a seven grade social studies I know this is math but people aren't active in social studies All I'm trying to ask is how did the issue of slavery cause the Civil War in the election of 1860 the presidential election of 1860​​

Answers

Answer:

The election of 1860  established the Democratic and Republican parties as the majority parties in the United States. It also confirmed deep tensions  surrounding slavery and states’ rights between the North and South. Before Lincoln’s inauguration, eleven Southern states seceded from the Union and just after his swearing-in, the Confederate Army fired on Fort Sumter, starting the Civil War.

Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?

Answers

Answer:

Anything more than $13

Step-by-step explanation:

Anything over 14 dollars

HELP ME PLEASE IM GOING TO FAIL!!!

Answers

Answer:

-1

Step-by-step explanation:

m= -1

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (4, 3)

Point 2 = (11, -4)

Slope = (-4 - 3) / (11 - 4) = -7 / 7 = -1

Answer: slope = -1

Hope this helps!

Hi I really need help with this one

Answers

Answer:

GCF: 3 , While answer to addition problem is 36.

Step-by-step explanation:

* Help me with mine please thanks*

(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?

20
22
23
32

Answers

Answer:

22

Step-by-step explanation:

3-1=2

2+3^2 x 2

3x3=9

2+9 x2

11x2=22

What percent of 4c in each expression?
c

Answers

An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .

What is the expression about?

An expression in math is known to be the putting together of numbers, variables, etc.

For the expression above,

(3a - 2b + 4c) + (3b - 2c) - (a - b - c)

Therefore:

= 3a - 2b + 4c + 3b - 2c - a + b + c

The answer will be = 2a + 2b + 3c

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Multiply, add and subtract to find the total. *
calvin paints ad posters. he charges $50 for a large poster and
$30 for a small poster. last week, he sold 3 large posters and 6
small posters. he also had to spend $40 to buy more paint.
how much money does calvin have left?
your answer

Answers

Answer:

$290

Step-by-step explanation:

3x50=$150

6x30=$180

180+150=$330

330-40=$290

I will mark brainlist to whoever answers first

Answers

Answer:

∠V = 32°

Step-by-step explanation:

VW = UV

⇒ Isosceles triangle. So, the angles opposite sides are equal.

∠W = ∠U

∴ ∠W = ∠U = 74°

Angle sum property

 Sum of all angles of triangle = 180

74 + 74 + ∠V = 180

       148 + ∠V = 180

                ∠V = 180 - 148

∠V = 32°

What is the scale factor of (-2,6) and (-10,30) After dilation

Answers

Answer: 5

Step-by-step explanation: -2 * 5 = -10      6 * 5 = 30

Answer: [tex]The ~scale~ factor~ is~ 5[/tex]

Step-by-step explanation:

[tex]-2*5 ~is~=-10[/tex]

[tex]6*5=30[/tex]

[tex]We~use~the~distance~formula~to ~determine~the~distance~between ~two ~points.[/tex]

[tex]8\sqrt{10}[/tex]

x⁴-12x²+8=0
(find value of x)​

Answers

Pls tell me if I’m wrong

will give brainliest!!! Help pls!

Answers

Answer:

I notice that square 3 plus square 2 equals square 1, the biggest square. That must mean that the third square, squared, plus the second square, squared, equals the biggest square, squared, which is square c.

Round 6254 correct to 1 signature figure

Answers

Answer:

6000

Step-by-step explanation:

6.25×10 3x 6.3×10 3x6×10 3×

The ratio of the distance around a circle, the circumference, to the distance across a circle, the diameter, is represented by the Greek letter a. If the circumference of a circle is 6.28 inches and the diameter of the same circle is 2 inches, what is the approximate value of a to two decimal places?​

Answers

Answer:

3.14 inches

Step-by-step explanation:

diameter=2inches radius =1

The formula for circumference of a circle with radius r is 2πr.

The formula for the area of a circle with radius r is πr²

π≈3.14

So the radius of our circle is 

6.28/2π

≈6.28/2×3.14=1

its area is πr²

≈3.14×1²=3.14

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answers

Answer:  3.7

==========================================================

Explanation:

Check out the diagram below to see what's going on.

a = 8.2 feetb = unknownc = 9 feet

Use the pythagorean theorem to find b

[tex]a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\[/tex]

The length is roughly 3.7 feet.

If Sam can read 20 pages in 30 minutes, how many hours will it take Sam to read 200 pages?

Answers

The answer is 600 your welcome
Answer is 5 hours

Explain
20/30 is to 200/x

20 x 10 = 200 so
30 x 10 = 300 minutes
Divide 300 minutes by 60 minutes in an hour
Answer 5 hours
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