The age of a boy is twice that of his sister. five years ago the boy was 3 times the age of his sister. How old is the boy

Answer:

Hope it will helpful.Follow for more answers.

Answer:

-65

Step-by-step explanation:

-80 - -15

Two minuses become plus

= -80+15

Subtract and keep the sign of the higher number

= -(80-15)

= -65

Answer:

I'm glad you asked!

Step-by-step explanation:

[tex]-80-(-15)[/tex]

= [tex]-80-(-15)[/tex]

= [tex]=-80+15[/tex]

[tex]=-65[/tex]

The answer is - [tex]65.[/tex]

Answer:

0.100

Step-by-step explanation:

0.0995 has 4 decimal places

5>4 so round up

9 turns to 10, the 1 is "added on" to the number ahead

9 turns to 10 again, the 1 is "added on" to the number ahead

0 turns to 1

you are left with 0.100

Answer:

0.100

Step-by-step explanation:

Three decimal places: 0. 0 / 9 / 9 / 5

Rounding number: 0. 0 / 9 / 9 / 5

Since it is 5, add 1 to the second 9. This will result to 0 while adding 1 to the first 9. Again, this would result to 10 which will add 1 to the next number, 0.

0.1000

Since the question wants you to round three places, you were not told to remove the zeros in those decimal places. So only remove the last 0.

0.100 is the answer

Answer:

The third option

Step-by-step explanation:

Answer:

It is number 1 because they are asking for over or under 18

Step-by-step explanation:

Hope this helps!

Answer:

(a)See below

(b)I) 0.125  (ii)0.828125   (iii)0.234375   (iv) 0.625   (v)0.65625

Step-by-step explanation:

When an  8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

PART A

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:  

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

PART B

I) A prime number

The number of products that gives prime numbers = 8  

The probability that the product is a prime number

[tex]=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125[/tex]

ii) Not a perfect square  

Number of products that results in perfect squares =11

The probability that the product is not a perfect square

[tex]=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125[/tex]

iii) A multiple of 5  

Number of products that are multiples of 5=15

 The probability that the product is a multiple of 5

[tex]=\dfrac{15}{64}\\=0.234375[/tex]

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

 The probability that the product less than or equal to 21

[tex]=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625[/tex]

v) Divisible by 4 or 6

Number of products divisible by 4 or 6= 42

 The probability that the product is divisible by 4 or 6

[tex]=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625[/tex]

Answer:

K = -2

Step-by-step explanation:

If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.

[tex]k = \frac{2}{-1} = -2[/tex]

Answer:

B

Step by step explanation

Answer:

x = ±20

Step-by-step explanation:

x^2 -1=399

Add 1 to each side

x^2 = 399+1

x^2 = 400

Take the square root of each side

sqrt(x^2) = ±sqrt(400)

x = ±20

Problem: You do not have an attached picture. Though, I can help you out with this question.

So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".

3/5x=30

3/5x × 5/3=30 × 5/3

x=50

Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.

Variable in here is x.

Answer:

the answer is D!

Step-by-step explanation:

I took that quiz :)

The answer is 5 in a close dot going --->

Which is D.)

The picture is to show how it looks in Plato.

Answer: D.

Step-by-step explanation:

If they already have 565 cans and 87 will bring cans then we could represent it by the inequality  

87x + 565[tex]\geq[/tex] 1000  where x is the number of cans each guest much bring to meet the goal. so solve for x.

87x  + 565[tex]\geq[/tex] 1000

        -565     -565

87x [tex]\geq[/tex] 435

x [tex]\geq[/tex]  5  

since we now that x is 5  then A  and C can't be answers.

B can't be an answer in this case because 5 is excluded but they actually need at least 1000 bottles so 5 needs to be excluded.

Answer: a) 1,600

              b) 35,000

              c) 120,000

Step-by-step explanation:

First, round each number to one significant digit (the first digit).

Then multiply them.

a) 17   --> rounds to 20

  82   --> rounds to 80

                                       20 x 80 = 2 x 8 with two zeros

                                                     = 1 6 0 0

b) 54   --> rounds to 50

  671   --> rounds to 700

                                       50 x 700 = 5 x 7 with three zeros

                                                       = 3 5 0 0 0

c) 207   --> rounds to 200

  643   --> rounds to 600

                                       200 x 600 = 2 x 6 with four zeros

                                                          = 1 2 0 0 0 0

answer x>1/2 (sqrt(21) - 3)

x>0.791288

Answer:

18/17

Step-by-step explanation:

the negative reciprocal of -289/324 is 324/289. When it is multiplied by 17/18 you get 18/17 as the answer.

Answer:

[tex] - 1 \frac{1}{17}[/tex]

Step-by-step explanation:

[tex]Reciprocal \: of \: - \frac{289}{324} = - \frac{324}{289} \\ \\ \frac{17}{18} \times (- \frac{324}{289} ) \\ \\ = \frac{17}{18} \times (- \frac{18 \times 18}{17 \times 17} ) \\ \\ = - \frac{18}{17} \\ \\ = - 1 \frac{1}{17} \\ [/tex]

Answer:

Use demos or a graphing calc.

Step-by-step explanation:

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: −4/7

y-intercept: 1

Answer:

21, 23, 25

Step-by-step explanation:

It adds by x +2 (x being the previous number.)

Answer:

pattern : +2

next three terms : 21, 23, and 25

Answer:

B, reflection will be your answer.

Step-by-step explanation:

Congruent triangles have equal measure of corresponding sides and angles.

The single transformation that maps triangle ABC and triangle A'B'C is (b) reflection

From the question, we understand that the triangles are congruent by HL.

HL means hypotenuse legs.

This implies that

Reflecting either of the triangles would map both triangles.

Hence, the single transformation is reflection

Read more about transformation at:

https://brainly.com/question/15469392

Answer:

A.x+1

Step-by-step explanation:

Answer:  (b) vertical stretch by a factor of 6

Step-by-step explanation:

Consider h(x) = A(x - h)² + k

f(x) = x²

g(x) = 6x²

         ↓

       vertical stretch by a factor of 6

Answer:

x ≥ 20

Step-by-step explanation:

First, we want to isolate x. We can start to do that by subtracting 6 to both sides.

x/10≥2

Now, we multiply each side by 10.

x ≥ 20

That's the answer, all values above or equal to 20 are solutions.

Answer:

The answer is x_> 20

Step-by-step explanation:

Answer:

Region B

Step-by-step explanation:

The solution to the system is the point at which the two lines intersect, which would be in Region B.

Answer:

x = 44°

Step-by-step explanation:

Since this is an isosceles triangle, the other angle that isn't defined is also 68°. So, since all the angles add up to 180°,

x + 68(2) = 180

x + 136 = 180

x = 44°

Answer:

44 is the answer

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Answer:

There were 10 flies originally

Step-by-step explanation:

Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;

V = I(1+r)^d

where V is the number of flies on a particular day

I is the initial number of flies

r is the constant increase in percentage

and d is the number of days.

So we have for the second day;

60 = I(1+r)^2 ••••••(i)

For the fourth day, we have;

360 = I(1+r)^4 ••••••••(ii)

divide equation ii by i; we have;

360/60 = (1+r)^4/(1+r)^2

6 = (1+r)^2

(√6)^2 = (1+r)^2

1 + r = √6

r = √6 - 1

So we can substitute the value of r in any of the equations to get I which is the initial number of flies

Let’s use equation 1

60 = I(1 + r)^2

60 = I(1 + √6 -1)^2

60 = I(√6)^2

60 = 6I

I = 60/6

I = 10 flies

Explanation:

Label the slots A,B,C for first through third place.

There are 8 choices for slot A, 7 for slot B, and 6 for slot C. We start with 8 and count our way down until we get to the final slot. Then we multiply out those values

8*7*6 = 336

There are 336 ways to select three people from a pool of eight overall.

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

If you want to use the permutation formula, then your steps might look like this

[tex]_n P _r = \frac{n!}{(n-r)!}\\\\_8 P _3 = \frac{8!}{(8-3)!}\\\\_8 P _3 = \frac{8!}{5!}\\\\_8 P _3 = \frac{8*7*6*5!}{5!}\\\\_8 P _3 = 8*7*6\\\\_8 P _3 = 336\\\\[/tex]

Note how the 5! terms cancel out on the second to last step, leaving behind the expression 8*7*6 which was found earlier.

Answer:

d = 4

Step-by-step explanation:

4d - 4 = 5d - 8

Add -5d and 4 on both sides.

4d - 5d = - 8 + 4

- 1d = - 4

Divide -1 into both sides.

d = -4/-1

d = 4

Step-by-step explanation:

1) = 4ab

2) 12a2b

3) 8ab2

4) 6ab2

5) 12abc

6) 6ab2c

7) 16a2bc

8) 27abc

Answer:

1/6

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (6-3)/(12 - -6)

    = (6-3)/(12+6)

     = 3/18

     =1/6

Answer:

240 m to nearest meter.

Step-by-step explanation:

h = -4.9t^2 + 68.6t

We need to convert this to vertex form to find the maximum value of h:

h = -4.9(t^2 - 14t)

h = -4.9[(t - 7)^2 - 49]

h =  -4.9(t - 7)^2 + 240.1

So maximum height is when t = 7 and it's 240.1 meters.

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

Answer:

Step-by-step explanation:

Parallel lines have same slope

19) y = x - 4

m = 1 ;   (2, 3 )

Equation: y - y₁ = m(x- x₁)

             y - 3 = 1(x - 2)

              y - 3 = x -2

                   y = x - 2 + 3

y = x + 1

20) 2x + 3y = 3

We have to write in y = mx + b  form

3y =  - 2x - 3

[tex]y=\frac{-2}{3}x-\frac{3}{3}\\\\y=\frac{-2}{3}x-1\\\\m=\frac{-2}{3}[/tex]; (-6, -1)

[tex]y-[-1]=\frac{-2}{3}(x-[-6])\\\\y+1=\frac{-2}{3}(x+6)\\\\y+1=\frac{-2}{3}x+\frac{-2}{3}*6\\\\y+1=\frac{-2}{3}x-4\\\\y=\frac{-2}{3}x-4-1\\\\y=\frac{-2}{3}x-5[/tex]

for perpendicular lines, m2 = -1/m1

21) y = 2x+ 5

m1 = 2

[tex]m_{2}=\frac{-1}{2}[/tex];     (-2,8)

[tex]y-8=\frac{-1}{2}(x-[-2])\\\\y-8=\frac{-1}{2}(x+2)\\\\y-8=\frac{-1}{2}x+2*\frac{-1}{2}\\\\y-8=\frac{-1}{2}x-1\\\\y=\frac{-1}{2}x-1+8\\\\y=\frac{-1}{2}x+7[/tex]

22) x+ 4y = 8

           4y = -x + 8

             [tex]y=\frac{-1}{4}x+\frac{8}{4}\\\\y=\frac{-1}{4}x+2\\\\m_1=\frac{-1}{4}\\\\m_{2}=4\\\\[/tex]

m2 = 4;  (-2,-11)

y - [-11] = 4(x -[-2])

y + 11 = 4 (x + 2)

y + 11 = 4x + 8

      y = 4x + 8 - 11

      y = 4x - 3