MATHEMATICS HIGH SCHOOL

The mean age of five children is 8 years 4 months. When Amina joins, the mean age becomes 8 years 5 months. How old is Amina. With workings please.

Answers

Answer 1

Answer:

Answer:8 5/12 - 8 3/4

101/12- 35/4 LCM 12 &4 is 12

101- 35/12= 66/12

=5 6/12

=5 1/2 years

Step-by-step explanation:

Answer 2

Answer:

Final answer:

The question is about the calculation of Amina's age. From the information provided, Amina's age is calculated to be 9 years 4 months. The calculation is done by first obtaining the total age before and after Amina joins then finding the difference.

Explanation:

Firstly, we know the mean age of five children, before Amina joins, is 8 years 4 months. To get the total age of these children, we multiply the mean by the number of children. So, 8 years 4 months x 5 gives 41 years 8 months in total.

Next, Amina joins, increasing the number of children to six and the mean age becomes 8 years 5 months. To get the new total age, we multiply the new mean by the total number of children, so, 8 years 5 months x 6 gives 51 years.

So, the age of Amina is found by subtracting the initial total age before she joined from the new total age after she joined, which is, 51 years - 41 years 8 months = 9 years 4 months.

Thus, Amina's age is 9 years 4 months.

Learn more about Mean Age Calculation here:

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If y varies inversely as x and y = 24 when x = 8, find y when x is 4

2 times 12 minus 14 divided by 2 = ?

Answers

$2*12- (14)/(2)$

$2*12=24$

$24- (14)/(2)$

$(14)/(2) =7$

$24-17=7$

- - Final answer: 7

Answer:

This Would Equal 5!

Step-by-step explanation:

2*12= 24

Then, 24-14=10

Finally, 10/2=5

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?A. n= 2.5(1.5)/t, t cannot = 0
B. n= 1.5t^2 + 1.25
C. n= 1.5t + 1.25
D. n= 1.25(2.5^t)

Answers

Answer: Hello mate!

The initial number produces is 1,250,000 toys per year, and you expect to increase by 150% per year.

an increase of 150% (1.5 in decimal form) means that after a year, the amount of toys produced are:

1,250,000 + 1.5*1,250,000 = 1,250,000*(1 + 1.5) = 1,250,000*2.5

and each year, you multiply the previous quantity by 2.5

then the model (in millions) is, as a function of years:

p(0) = 1.25

p(1) = 1.25*2.5

p(2) = 1.25*2.5*2.5

and so on; you can see that:

p(t) = 1.25*(2.5^t)

So the right option is D.

The answer is D.
You multiply 1,250,000 by 1.50= 1,875,000
Then add 1,875,000 to 1,250,000= 3,125,000
Divide by 1,000,000 and you get 3.125

Suppose you have 52 feet of fencing to enclose a rectangular dog pen. where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.

Answers

Answer:

Width which gives maximum area = 13 feet

Maximum Area = 169 $feet^2$

Step-by-step explanation:

Given: 52 feet of fencing means Perimeter of rectangular dog pen.

If Total length of the boundary of rectangle (.i.e., Perimeter) is fixed then the rectangle with equal sides has the maximum area.

Width = x (given)

∴ for maximum area let length = x

Perimeter of rectangle = 52 feet

2 × (Length + Width) = 52

2 × ( x + x ) = 52

2 × ( 2x ) = 52

4x = 52

x = $(52)/(4)$

x = 13 feet.

Maximum Area = Length × Width

= 13 × 13

= 169 $feet^2$

Width which gives maximum area = 13 feet

Maximum Area = 169 $feet^2$

Maximum Area = 169 feet^2

Find the domain and range of function y = √(−x^{2} −6x+2)

Answers

$y=√(-x^2-6x+2)\n\nD:-x^2-6x+2\geq0\n\na=-1;\ b=-6;\ c=2\n\n\Delta=b^2-4ac;\ iff\ \Delta \geq0\ then\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-6)^2-4\cdot(-1)\cdot2=36+8=44;\ \sqrt\Delta=√(44)=√(4\cdot11)=2√(11)\n\nx_1=(6-2√(11))/(2\cdot(-1))=-3+√(11);\ x_2=(6+2√(11))/(2\cdot(-1))=-3-√(11)\n\nlook\ at\ the\ picture\n\nD:x\in\left<-3-√(11);-3+√(11)\right>$

Which is greater, five ones and eight tenths or fifty-eight tenths

Answers

both the fractions 5 ones and 8 tenths and 58/10 are equal

Ian factored 12x3y3 – 24x2y3 into 6xy(2x2y2 – 4xy2)./1 a. Verify that Ian’s factorization is correct, using multiplication.
Answer:
/1 b. Ian’s factorization is not considered ‘complete’. Explain why.
Answer:
/1 c. Show the complete factorization of 12x3y3 – 24x2y3.
Answer:
PLEASE HELP THANKS , NEED THIS IN TIME

Answers

Answer:

Step-by-step explanation:

Given that Ian factored

$12x^3y^3 - 24x^2y^3$

$6xy(2x^2y^2 - 4xy^2).$

We find that inside still there are common factors for the two terms.

We can find 2 as common factor and for x, the term x and for y it is y^2

So correct factorisation would be

$12x^2y^3(x-2)$

a. 6xy(2x^2y^2-4xy^2)If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2.You will get 12x^3y^3-24x^2y^3.b. Factorization is not complete because 6xy is not the greatest common factor.c. Complete factor: 12x^2y^3(x-2y).

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