Mathematics High School

A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC​

Answers

Answer 1

Step-by-step explanation:

Given

[tex]q + p = 2(q - p)[/tex]

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

[tex]qp = 675[/tex]

as equation 2.

Using equation 2,

[tex]q = \frac{675}{p} [/tex]

substitute this equation into equation 1.

[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]

Substitute P into equation 2.

[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]

Therefore the woman is 45 years old while her son is 15 years old.

Related Questions

1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.​

Answers

Answer:

259.2

Step-by-step explanation:

multiply 18 x 8 x 1.8 to get 259.2cm

Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?

Answers

i don’t understand why people are sending files for answers

2(x - 1) 3(x - 2)
3
4
1
I did not understand ​

Answers

Answer:

3(x-2)

4(x-5)

5(x-6)

1(x-2)

Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.

Answers

Don't you hate the people with the website. The answer is c

Answer:

B

Step-by-step explanation:

Plz help its due by 1

Answers

11.5

Step-by-step explanation:

pls help 10 points !! :))

Answers

Answer:

The second one

Step-by-step explanation:

A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62

Answers

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

Q. You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule
represents your business model?
answer choices
Cy=13x + 7.5
f y=13x - 7.5
By=20.5%
Dy=7.5x + 13

Answers

Answer:

Cy

Step-by-step explanation:

x is the number of hours

The answer to your question is Cy

calculate the mean of 7,0,11,10

Answers

Answer:

7

Step-by-step explanation:

7+0+11+10=28

28/4=7

Answer: 7

7+0+11+10=28/4=7

HELP ASAP!!? HELP ME PLEASE!! 10 POINTS

Answers

Answer:

D)  3x²y

Step-by-step explanation:

What is the factored form of the polynomial 3x-3y

Answers

Answer:

Step-by-step explanation:

3x - 3y = 3(x-y)

D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?​

Answers

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%

Answers

The students Grade increased by 20% because 10% of 80 is 8 and is you take 20% it’s double of 10% so it’s going to be a 16 point increase

The price of a scooter was Rs. 34000 last year. It has increased by 25% this year. Then the increase price is? Please in step by step answer method. I will mark you branliest.

Answers

Answer:

Rs. 42500

Step-by-step explanation:

100% + 25% = 125% ÷100 = 1.25

34000 x 1.25 = 42500

When born, a baby weighed 8.5 pounds and gained 1.6 pounds per week for the first 10
weeks. Which of the following functions accurately models the number of pounds, p, the
baby weighs as function of the number of weeks, w, since it was born?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

if the baby weighted 8.5 pounds when born then that is the initial value therefore the baby will be weighted 1.6 times 10 weeks or w

hope this helps

What is the lateral and surface area? No link or you will be reported ​

Answers

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

21

Step-by-step explanation:

21 because if you put 21 for x, 21+6= 27, and 27 divided by 3 is 9. Ur welcome

I’ll give you brainleist please just help fast

Answers

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z

A. 113.5°
B. 47.5°
C. 46.5°
D. 180°​

Answers

Answer:

C

Step-by-step explanation:

19.9 + 113.6 = 133.5

180-133.5= 46.5

Answer:

[C] 46.5°

Step-by-step explanation:

Given:

In triangle xyz, angle x measures 19.9° and angle

y measures 113.6°. what is the measure of angle z

Note that:

Triangle = 180 degree

Solution:
Since,

x = 19.9 degree

y = 113.6 degree

then we have:

19.9 + 133.6 + z = 180

133.5 + z = 180

Subtract both sides by 133.5

133.5 - 133.5 = 180 - 133.5

x = 46.5 degree

Hence, the measure of angle z is 46.5

Also means that [C] 46.5 is the correct answer.

Kavinsky

Which graph represents the function y = 4?

Answers

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

am i doing this correctly?

Answers

Yes that is how you do it

The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?

Answers

Answer:

It would help the rabbit by blending in with the environment and avoiding predators.

Step-by-step explanation:

I got the question right ap3x

Answer:

Step-by-step explanation:

It would help the rabbit by blending in with the environment and avoiding predators.

Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5

Answers

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

HELP I don’t understand

Answers

Answer:

144, 36

Step-by-step explanation:

you know that if you add the two angles it will equal 180 degrees. so add the two angles and make them equal to 180 and solve for x.

(4x+8) + (x+2)=180

5x+10=180

5x=180-10

5x=170

x=34

now replace x in each equation:

4(34)+8=144

34+2=36

HELPPP ASAP!!!

How many cubes are in this set?

Answers

Answer:

7

Step-by-step explanation:

7 because it's not asking for squares it asking for cubes

a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour

Answers

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Answers

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.

Answers

Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266

how do i solve this?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x = 110

Explanation:

We can see that both the sides are equal because of the lines on the sides of the triangle. That means that the angle on the other side is also 35, we also know that the total amount of degrees in a triangle is 180

So now we can do this equation:

35 + 35 + x = 180

70 + x = 180

x = 110

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Step-by-step explanation:

[tex]180 - (35 \times 2) = \\ = 180 - 70 = \\ = 110[/tex]

The sum of internal angles of a triangle is 180 and we have a triangle with 2 lengths that are the same. We can say that also the other angle is 35,so the result is 110

Solve the system of linear equations using either substitution or the elimination method.
y = 3x +5
X+y=1

Answers

Answer:

x = -1

y = 2

Step-by-step explanation:

x + y = 1

y = -x + 1

y = -x + 1  (Multiply this by -1)

y = 3x +5

-y = x - 1

y = 3x +5

0 = 4x + 4

4x = -4

x = -1

x + y = 1

-1 + y = 1

y = 2

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