4. After tennis training, Andy collects twice as many balls as Roger and five more than Maria. If Roger collected r balls, in terms of r, how many balls did:

a) Andy collect?
b) Maria collect?
c) The total number of balls collected?

Answer:

[tex] \frac{3(x + 4)(x + 1)}{(x + 2)(x - 2)} \\ x = 4 \\ then \frac{3(4 + 4)(4 + 1)}{(4 + 2)(4 - 2)} \\ = \frac{3 \times 8 \times 5}{6 \times 2} \\ = \frac{120}{12} = 10 \\ thank \: you[/tex]

Answer:

(-1,3)

Step-by-step explanation:

Answer:

It doesn't say what to do with that 0.1 of a gallon. I would buy another gallon or dilute what I had so it came to exactly 9.1 gallons. In math, I suppose the answer is 9.

In reality it would be 10.

You have to choose.  What has been done with other questions like this.

Step-by-step explanation:

1 can covers 55 square feet.

h = 10

w1 = 10 feet

w2 = 10 feet

w3 = 15 feet

w4 = 15 feet

Total area = Area of wall 1 + wall 2 + wall 3 + wall 4

Total area = 10*10 + 10*10 + 10*15 + 10* 15

Total area = 100  + 100 + 150 + 150

Total area = 500  feet^2

1 gallon / 55 ft^2 = x / 500 ft^2          Cross multiply

55 * x = 500                                       Divide by 55

x = 500/55

x = 9.1 gallons.

In real life you would buy another gallon.

Population growth represents the rate at which the population changes

Given that:

[tex]r_1 = 2[/tex] ----- i.e. when the population doubles

[tex]r_2 = \frac{1}{2}[/tex] ----- i.e. when the population cut in halves

Population growth is represented as: [tex]A_n = ar^{n}[/tex]

Organism A

For the first 5 days (when it doubles) is:

[tex]A_5 = ar_1^{5[/tex]

Substitute [tex]r_1 = 2[/tex]

[tex]A_5 = a\times 2^{5[/tex]

For the next 3 days (when it cut in halves) is:

[tex]A = A_5 \times r_2^3[/tex]

Substitute [tex]A_5 = a\times 2^{5[/tex] and [tex]r_2 = \frac{1}{2}[/tex]

[tex]A= a \times 2^5 \times (\frac{1}{2})^3[/tex]

Apply law of indices

[tex]A = a \times 2^5 \times 2^{-3[/tex]

[tex]A = a \times 2^{5-3[/tex]

[tex]A = a \times 2^{2[/tex]

So, the growth factor of organism A is:

[tex]A = a \times 2^{2[/tex]

Organism B

For the 8 days, we have:

[tex]B=ar_1^8[/tex]

[tex]B=a\times 2^8[/tex]

The expression (n) for the number of times the population of B is greater than A is:

[tex]n = \frac BA[/tex]

This gives:

[tex]n = \frac{a \times 2^8}{a \times 2^2}[/tex]

[tex]n = \frac{2^8}{2^2}[/tex]

Apply law of indices

[tex]n = 2^{8-2}[/tex]

[tex]n = 2^{6}[/tex]

The expression that is not in exponential form is:

[tex]n = 2 \times 2\times 2\times 2 \times 2\times 2[/tex]

[tex]n = 64[/tex]

Hence:

Read more about population growth at:

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Answer:

6

Step-by-step explanation:

36 / 6 = 6

A hexagon's six sides are all equal to a sixth of the perimeter.

Answer:

50 pencils in total

Step-by-step explanation:

5 boxes * 10 in each  = 50 pencil in total

Answer:

2 is vertical opposite to 4 and 3 is vertical opposite to 1

Step-by-step explanation:

Hey there!

The given points are: (-3,-6) and (3,-6).

x 1 = -3 y1 = -6

x 2 = 3 y2 = -6

Use distance formula;

[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all the values;

[tex]d = \sqrt{( {3 - ( - 3))}^{2} + ( { - 6 - ( - 6))}^{2} } [/tex]

Simplify:

[tex]d = \sqrt{ {(6)}^{2} + {( - 6 + 6)}^{2} } [/tex]

[tex]d = \sqrt{ {(6)}^{2} } [/tex]

Therefore, the distance is 6 units.

Hope it helps!

Answer:

C

Step-by-step explanation:

distance Y multiply 1.0936

Answer:C

Step-by-step explanation:

M=Y(1.0936)

The bracket also represents multiplication

Answer:

12

Step-by-step explanation:

To find the greatest common factor if 72 and 84 first we need to find factors of them separately

72 :  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

84 :  1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

there are 6 common factors that are 1, 2, 3, 4, 6, and 12

Therefore, the highest common factor of 72 and 84 is 12.

we can find highest common factor by other method called prime factorization for the you need to factorize them separately

prime factorization of

72 : 2 × 2 × 2 × 3 × 3

84: 2 × 2 × 3 × 7

now we have to find common prime factors

those are 2 × 2 × 3

now multiply them

= 12

The greatest common factor of 72 and 84 is 12

The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

Given is to find the greatest common factor or HCF of 72 and 84.

We will first find the factors of each of the numbers given.

The factors of 72 are as follows : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

The factors of 84 are as follows : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

Check the bolded numbers. It can be seen that it is both common and largest of the other common numbers. From the definition of HCF, we can write that the HCF of 72 and 84 would be 12. So, the greatest common factor or HCF is 12.

Therefore, the greatest common factor of 72 and 84 is 12.

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Step-by-step explanation:

ANGLE ,x=60

B=C(isoscles)

A=B.As sides are equal.

Answer:

Protractor can be used to determine if two segments are congruent.

Step-by-step explanation:

Learn more about protractor, refer :

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Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

Answers:

Length = 270 feet

Width = 45 feet

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

Work Shown:

x = width

6x = length, since it is 6 times the width

P = perimeter of rectangle

P = 2*(Length + Width)

P = 2*(6x + x)

P = 2*(7x)

P = 14x

Plug in the given perimeter P = 630 and solve for x.

P = 14x

14x = P

14x = 630

x = 630/14

x = 45

The width is 45 feet.

The length must be 6x = 6*45 = 270 feet.

The required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.

Given that,
A landscaper buried a water line around a rectangular lawn to serve as a supply line for a sprinkler system. The length of the lawn is 6 times its width. If 630 feet of pipe was used to do the job, what is the length and the width of the lawn is to be determined.

Perimeter is the measure of the figure on its circumference.

Here,
let the length be l and the width be w,
According to the question,
l = 6w
and
Perimeter of the lawn = 630
2 [l + w] = 630
2 [6w + w] = 630
14w = 630
w = 45
Now,
l = 45[6] = 270

Thus, the required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.

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Answer:

see explanation

Step-by-step explanation:

(7)

(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then

25x + 8 + 9x + 2 = 180 , that is

34x + 10 = 180 ( subtract 10 from both sides )

34x = 170 ( divide both sides by 34 )

x = 5

Then

9x + 2 = 9(5) + 2 = 45 + 2 = 47

(7y + 5) and (9x + 2) are vertical angles and are congruent , so

7y + 5 = 47 ( subtract 5 from both sides )

7y = 42 ( divide both sides by 7 )

y = 6

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

(8)

(11x - 24) and (7x + 30) are vertical angles and are congruent, so

11x - 24 = 7x + 30 ( subtract 7x from both sides )

4x - 24 = 30 ( add 24 to both sides )

4x = 54 ( divide both sides by 4 )

x = 13.5

Similarly

(17y - 4) and (5y + 38) are vertical angles and congruent , then

17y - 4 = 5y + 38 ( subtract 5y from both sides )

12y - 4 = 38 ( add 4 to both sides )

12y = 42 ( divide both sides by 12 )

y = 3.5

Answer:

64.00

Step-by-step explanation:

64.00 is the correct answer.

63.999 rounded to 2 decimal places is 64.00

In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd.

For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.

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there :))) check out image I could attach one image...sorry

Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

Step-by-step explanation:

a)

(a+p)y=q-p

a+p=q-p/y

a=q-p/y - p

b)

x²-y²=a

x²=a+y²

x=√a+y²

c)

P=V²/R

R=V²/P

d)

3ab+s=a²b

s=a²b-3ab

e)

x²y=5k-4

x²=5k-4/y

f)

y=√x+2ac

y²=x+2ac

x=y²-2ac

g)

q-p+r=s³

p=q-r-s³

h)

2xy=4ak

x=4ak/2y

j)

7k+h-q=2q

q=7k+h-q/2

Note:if yoy have any question to ask,let me know.

Answer: 0.5(43,560)/ 40(128)

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

1.365÷65=21 dollars

Answer:

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

thats answrr gimme that brainliest

answer is 123

Step-by-step explanation:

-135-(-258)

as we then - x - = +

then -135+258

and we got answer 123

Answer:

Cheena has 6 pieces of fabric.

Step-by-step explanation:

3/4 yard of fabric also means 6/8 yard of fabric.

(6/8) / (1/8) = 6

Or

6/8 yard = 6  1/8 yard pieces

Answer:

(-9,-6)

Explanation

Answer:

(9,-6)

Step-by-step explanation:

(x,y)→(y,-x)

Negate the x then switch

(x,y)→(y,−x)

(6,9)→(9,−(6))=(9,−6)