7. If the age of a father is 6 times the age of his son and the total age of the father and his
son is 42, find their ages.
Solution
8. There are only two kinds of fruit for sale, apple and orange. The prices of an apple
and an orange are $4 and $5 respectively. On a certain day, the number of apples
sold is 6 times the number of oranges sold and the sum of money for the fruit sold is
$1 479. Find the total number of fruit sold that day. HKDSE reference 17 Paper 1
Solution

Answer:

0.46666666666667

Step-by-step explanation:

You could use long division, and see that 7/15 = 0.46666666667.

Answer:

Step-by-step explanation:

Given the equation y = 0.18x, to solve for x, we will make the variable x as the subject of the formula from the equation given.

From the equation y = 0.18x

Divide both sides by the coefficient of x i.e 0.18

y/0.18 = 0.18x/0.18

y/0.18 = x

Hence the function of the variable x = y/0.18

b) Given the amount of the bill as y and x is the tip in dollars.

Given  y = $4.95, we are to substitute the value of y = $4.95 into the resulting function in (a) to get x as shown;

Since x = y/0.18

x = $4.95/0.18

x = $27.5

Hence the bill is  $27.5

Answer:

b=2n−2

Step-by-step explanation:

Distribute -1 to every term in the parentheses:-2n+b=-2

Add 2n to isolate b

You might want to specify which variable you are solving for...

Answer:

B and C

Step-by-step explanation:

We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.

Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.

Option A has 15 cubes = 15 cm³ in volume

Option B has 10 cubes = 10 cm³ in volume

Option C has 10 cubes also = 10 cm³ in volume

Option D has 12 cubes = 12 cm³

The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.

Answer:

asdxfcghvjbnkmawerstyuijo

Step-by-step explanation:

MAKE ME BRAINLIEST OR YO GAY

Answer:

The actual distance between the two houses is:

3.2 km

Step-by-step explanation:

Proportions:

1cm       ⇔  100000 cm

3.2 cm  ⇔  W cm

W = 3.2*100000/1

W = 320000 cm

1 km = 100000 cm

320000cm = 320000/100000 = 3.2km

Answer: (-4,8)

Step-by-step explanation:

[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Plug in the values then divide, I assume you know how to divide.

Divide by 2, Simplify

[tex]\left(\frac{-10+2}{2},\:\frac{12+4}{2}\right)[/tex]

= (-4,8)

Answer:

$4x

Step-by-step explanation:

$6 - $2 = $4

$4x

Answer:

X=6+2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

[tex]5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2[/tex]

Answer:

√113

Step-by-step explanation:

As per distance formula:

Points are:

So the distance:

Answer is √113

Answer:

√113

Step-by-step explanation:

B(3,5) , A(-4,-3)

distance between 2 points : d

d=√(x2-x1)²+(y2-y1)²

d=√(3-(-4)²+(5-(-3)²

d=√7²+8²

d=√49+64

d=√113

Answer: 9 times as large

Step-by-step explanation:

the original area: 15×15=225

the new area: (15×3)(15×3)=2025

2025/225=9

Hope this helps!! :)

Please let me know if you have any question

Answer:

do you mean subtract?

Step-by-step explanation:

Answer:

Probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]

Probability of getting a cherry coke the fifth time = [tex]\frac{1}{3}[/tex]

Combined probability = [tex]\frac{1}{21}[/tex]

Step-by-step explanation:

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = [tex]\frac{2}{6} = \frac{1}{3}[/tex]

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

[tex]\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}[/tex]

Answer: -8

Explanation: It's a good idea to get into the habit of using parenthses

when substituting numbers in for variables.

Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).

3(6) is 18 so we have 22 - 18 + 4(-3).

4(-3) is - 12 so we have 22 - 18 + -12.

Now, 22 - 18 is 4 and 4 + -12 is -8.

Answer:

-8

Step-by-step explanation:

Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8

Answer:

x = -6

Step-by-step explanation:

[tex]-3x = 18\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{18}{-3}\\\\Simplify\\x=-6[/tex]

Answer: No because my teacher told me so

Step-by-step explanation: A

Answer:

see explanation

Step-by-step explanation:

The integers between - 4 and 4 are

- 3, - 2, - 1, 0, 1, 2, 3

Note this does not include - 4 and 4

(2)

Integers less than - 10 are

-11, - 12, - 13, - 14 , ....

Answer:

The correct answer is B. 2π

Step-by-step explanation:

A rational number is one that can be represented using a fraction and an irrational number cannot be represented using a fraction.

-√4 = -2, which is a rational number

2π is not a rational number (we cannot express pi as a fraction exactly even though there are some close approximations)

2.2121... is also a rational number because it can be expressed as a fraction (21/99, or 7/33 simplified)

√225 is 15, which is a rational number

Therefore, the only irrational option is option B. 2π, which is your answer.

Hope this helps!

Answer:

$17

Step-by-step explanation:

10 x 2.25 = 22.5

10 x .50 = 5

22.5 -5 = 17

I think this is correct.  Sorry if it isn't though!!!!!!

Answer:

Rational.

Step-by-step explanation:

Many floating point numbers are also rational numbers since they can be expressed as fractions. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.

Answer:

3.7777 > 3.77 or 3.77 < 3.7777

Answer:

10x-6

Step-by-step explanation:

What i did is. First i divided the cost of a dozen. And i took of a dozen of 18 (your cookies) and was left with 6 cookies. i also was left with 9 after dividing so if you add 6+9 so your answer is 15

Answer: For 18 cookies, the cost is 27 dollars.

Step-by-step explanation:

So we are given that:

a dozen cookies cost $18

And we have to find how many 18 cookies cost. We can solve this problem by finding the ratio, or fraction of dollars per cookie or cookie per dollars.

12 cookies             6                    2

----------------   =    -----------   =  -------------    So this means 2 cookies per 3 dollars.

18 dollars                9                   3

Now if you increase the numerator by 9 (the numerator is cookies) and you find that there are 18 cookies, then how much money is there to pay?

This can be found by increasing the denom. by 9 as well:

3  x   9  =  27

So then the cost is 27 dollars, and that is how much you have to pay.

Answer:

-23/56

Step-by-step explanation:

-1/8-2/7

= -7+8×-2

----------------

8×7

=-7-16/56

=-23/56

BTW. . This method is called the butterfly method.. in which we must cross multiply the numerators and denominators.. and multiply the denominator together (if they are co-primes) to get the LCM in the denominator of the sum..

Answer:

Step-by-step explanation:

Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.

Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.

Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.

Answer:

98 degrees

Step-by-step explanation:

The total sum of the angles of a pentagon is 540 degrees and the sum of the four given angles is 442 degrees. So, the answer is 540 - 442 = 98

Answer:

If the radius of your circle is 3 feet, for example, its diameter is 3 × 2 = 6 feet; and the circumference is then 6 × 3.14 = 18.84 feet, or 6 × 3.1415 = 18.849 feet if you're asked for a more exact answer.

Step-by-step explanation:

Answer:

37.7 ft

Step-by-step explanation:

C = 2 pi r

The circumference = 2 pi (6) = 12 pi = 37.7 ft

Answer:

8.7

Step-by-step explanation:

Since a square has equal side lengths, the formula for area is s^2, where s stands for side. Since we are given the area, s^2=75 square feet. Take the square root of both sides to get s is equivalent to the square root of 75 square feet. When this becomes a decimal, it is 8.66 feet. Since we are supposed to round to the nearest tenths, it rounds up to 8.7 feet per side length

Corrected Question:

The length of a rectangle is (t – 8) units, and its width is (t + 11) units. Which expression can represent the area of the rectangle?

Answer:

t² + 3t - 88

Step-by-step explanation:

Given:

Rectangle of;

length = (t - 8) units

width = (t + 11) units

The area A of a rectangle is given by;

A  = length x width ----------------------------------(i)

Substitute the given length and width into equation (i) as follows;

A = (t - 8) x (t + 11)    [expand the brackets]

A = t² -8t + 11t - 88

A = t² + 3t - 88

Therefore, the area is

(t² + 3t - 88) square units