Help !!!
See question in image.
Please show workings .
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Answer:

1/(x - 2) (x + 4)

Step-by-step explanation:

Answer:

190 children and 150 adults

Step-by-step explanation:

1. 1.25x + 2y = 537.5

2. x + y = 340

Here, x represents the children and y represents the adults.

Again, the first equation represent the cost of tickets, while the second represents the number of people.

From the above equation, we can solve for x and y

From equation 2,

x + y = 340

x = 340 - y

Substitute for x in equation 1

1.25x + 2y = 537.5

Then,

1.25(340 - y) + 2y = 537.5

Expand the bracket

425 - 1.25y + 2y = 537.5

Collect like terms

-1.25y + 2y = 537.5 - 425

0.75y = 112.5

y = 150.

To get the value of x, substitute for y in equation 2

x + y = 340

x + 150 = 340

x = 340 - 150

x = 190

Therefore,

There were 190 children and 150 adults at the pool that day

Answer:

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

5 ______ 5 7

6 ______ 1 2 3 5

Step-by-step explanation:

Given that data:

20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

5 ______ 5 7

6 ______ 1 2 3 5

The unique numbers which starts each value is the stem while the second digit of each unique stem is the leaf.

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

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

-9x + y = 26​

    +9x = +9x

y = 9x + 26

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

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

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

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

Answer:

937,806

Step-by-step explanation:

We solve this question in using the population growth rate formula

P(t) = Po(1 + r)^t

P(t) = Population after t years. = ??

Po = Initial Population = 620,000

r = Growth rate = 3% = 0.03

t = Time in years = 14

P(t) = 620000 (1 + 0.03)¹⁴

P(t) = 620000(1.03)¹⁴

P(t) = 937805.62941

Approximately P(t) = 937,806

The population of the city in 14 years is 937,806

Answer:

Step-by-step explanation:

Perimeter formula is:

Given:

Substitute and solve for x:

Then find the values of l and w:

Answer:

length is 28m and width is 15m

Step-by-step explanation:

Let length = l

and width = b

According to the given condition,

l = 2b -2

Now,

Perimeter of a rectangle, P = 2(l+b)

According to question

P = 86

2(l+b) = 86

l + b = 43

2b -2 + b = 43

3b = 45

b =15

Therefore, l = 2x15 -2 = 28

So length is 28m and width is 15m

Answer:

So the solution would be (1,-2). Remember you can always validate that the solution is correct by plugging it into both equations. But this is the same as the first equation, y=3x-5. Since they are the SAME line they will have infinite solutions.

Step-by-step explanation:

Answer:

- 4/5

Step-by-step explanation:

5X-7 = -11

   +7 = -11+7

5X = -4

Divide 5 on both sides

= - 4/5

Hey there!

The answer to your question is y = -3/4x - 3

If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:

y = -3/4x + b

Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:

-6 = (-3/4)(4) + b

-6 = -3 + b

-3 = b

We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3

Hope it helps, and have an amazing day! You've got this!

The equation of the line is 4y + 3x +12 = 0.

If a line has a given slope m and cuts a given intercept c on the y axis, then then equation of the line can be written as y = mx + c .

Given,

The line is parallel to the line y = -3/4x + 1​.

Also, the line y = -3/4x + 1​ has slope equal to -3/4.

Therefore, value of m = -3/4.

The required line is y = -3/4x + c

But, the line also passes through (4,-6).

Therefore,                 -6 = -3/4(4) +c

or                                c = -6 + 3

                                   c = -3

Substituting c and m in y = mx + c:

                                       y = -3/4x + (-3)

Hence, the required line is 4y + 3x +12 = 0.

To learn more about slope intercept form visit:

https://brainly.com/question/28850474

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Answer:

6500

Step-by-step explanation:

How to find volume: height x length x width

The larger box: 15 x 20 x 25= 7500

Smaller box: 10 x 10 x 10= 1000

Place the smaller box inside the larger box, which means the smaller box takes up space so you would subtract their volumes and get- 7500-1000=6500

Answer:

D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

Step-by-step explanation:

Runner A:

Time it takes for him to finish:

t = 26.2/5.6 = 4.679 hours (to complete race)

.

Runner B:

Time it takes for him to finish:

t = 26.2/6.4 = 4.094 hours

BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.

t = 4.094 + .5 = 4.594 hours

Answer:

108

Step-by-step explanation:

150x0.72=108

Step-by-step explanation:

72% of 150

=> (72/100)×150

=> 10800/100 [ Because, 72×150=10800 ]

=> 108

Thus, 72% of 150 is 108.

Hope this helps you.

Answer:

b 19

Step-by-step explanation:

Answer:

the answer is 19, B.

Step-by-step explanation:

this is my first time answering a question. i hope this helps you.

Step-by-step explanation:

3n - 1 > 8 or 4n + 3 < -1

3n > 9 or 4n < -4

n > 3 or n < -1

Solution set: (-∞, -1) U (3, ∞).

Answer:

p could be -2 or higher

Step-by-step explanation:

Answer:

p<−1

Step-by-step explanation:

-6 both sides

Answer:

Its C i just took the test and got this right!!!

Step-by-step explanation:

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.

5² = 4² + 3²

25 = 16 + 9

25 = 25

The side 3 cm and 4 cm is normal to each other.

Then the correct option is C.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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Answer: h = 14.5 ft

Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as

                                           [tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

i.e., the ratio of a side and the sin of its opposite angle is constant.

So, for this triangle, height is

[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]

[tex]h=\frac{14sin46}{sin44}[/tex]

[tex]h=\frac{10.07}{0.69}[/tex]

h = 14.51

Height of the main sail rounded to the nearest tenth is 14.5 ft.

Answer:

2

Step-by-step explanation:

Hope this helps!! Have a blessed day!

Answer:

1 + 1 = 2

Step-by-step explanation:

This is because if you count on your fingers one and one, you get two. I hope this helps!!

a is 45 degrees and b is 45 degrees

Answer:

Step-by-step explanation:

Side a = 16

Side y = 25.60535

Side x = 30.19328

Answer:

9

Step-by-step explanation:

Hope this helps and have a great day : )

Answer:

hiiioiofffffrrrrrtttttttt

Answer: The percentage of the votes were in favor of the new speed limit = 100%

Step-by-step explanation:

Given:  Total votes = 17

Total votes favored the new speed limit = 17

The percentage of the votes were in favor of the new speed limit [tex]=\dfrac{\text{Number of votes in favor}}{\text{Total votes}}\times100\\\\=\dfrac{17}{17}\times100\%=100\%[/tex]

Hence, the percentage of the votes were in favor of the new speed limit = 100%

Answer:

4w-16

Step-by-step explanation:

the only like terms in this equation are the w, so subtract them and you get 4w-16.

Answer: $500

Step-by-step explanation:

You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:

= 766.45 - 32.45

= A$734

1 USD gives A$1.468

The USD you will need is:

= 734/1.468

= $500

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = [tex]\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}[/tex]

                    = [tex]\frac{\text{Length of CD}}{\text{Length of GH}}[/tex]

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

                       = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                       = [tex]\sqrt{(-7-0)^2+(0+7)^2}[/tex]

                       = [tex]\sqrt{98}[/tex]

                       = [tex]7\sqrt{2}[/tex]

Length of GH = Distance between G(0, -1) and H(-1, 0)

                       = [tex]\sqrt{(-1-0)^2+(0+1)^2}[/tex]

                       = [tex]\sqrt{2}[/tex]

Scale factor = [tex]\frac{7\sqrt{2} }{\sqrt{2} }[/tex]

                    = 7

Answer:

B

Step-by-step explanation:

Your first instinct is correct. Plus, it says GAIN ==> +. Not LOSS ==> -.

Answer:

Step-by-step explanation:

Choice B is correct. It’s given that the helicopter’s initial height is 40 feet above the ground and that when the helicopter’s altitude begins to increase, it increases at a rate of 21 feet per second. Therefore, the altitude gain t seconds after the helicopter begins rising is represented by the expression 21 t. Adding this expression to the helicopter’s initial height gives the helicopter’s altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude:  y equals, 40 plus 21 t.