There are 700 people at a funfair.
4/7 of the 700 people are boys.
1/10
.
The rest of the 700 people are adults.
Work out the number of adults at the funfair.

Answer:

x=2;y=2

Step-by-step explanation:

2x+y=6..........1

3x-y=4............2

adding equation1 with equation 2

2x+y+3x-y=6+4

5x=10

x=10/5=2

substituting vslue of y in equation 1

2×2+y=6

y=6-4

y=2

Answer:

5x-6=y

Now

Answer:

257.48 cm

Step-by-step explanation:

circumfrence of circle = 2*pi*radius

2 *3.14*41

257.48 cm

don't forget the unit

Answer:

D. The mean will increase and the median will remain the same

Step-by-step explanation:

First I’d order them from smallest to largest in the data set:

3, 5, 6, 6, 7, 11

The median here is 6.

Then the mean would be 6.33

Then it says if 3 is removed:

5, 6, 6, 7, 11

So we would know the median is 6

The mean here would be 7

So we can see the mean increases but the median stays the same, therefore the answer is D

Answer:

x=6

Step-by-step explanation:

i used an app called math-way hope this  helps.

Answer:

x = 6

Step-by-step explanation:

3(x-4) + 3 = 9

3x - 12 + 3 = 9

3x - 9 = 9

3x = 9 + 9

3x = 18

x = 6

Answer:

C

Step-by-step explanation:

[tex]\frac{35}{100}*1800\\35*18\\[/tex]

630

The portion of protein will be 630.

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.

Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,

Here the portion of protein = 35%

So,

35 / 100 × 1800 = 630

Hence the portion of protein will be 630.

Learn more about pie chart click;

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Answer:

The second graph.

Step-by-step explanation:

A graph with a relation that is not a function would have more than one y value at any x point. For example, in the second graph, at (-0.5) on the x-axis, the y values are 4 and -4 so its relation does not have a function.

Answer:Answer:

The second graph.

Step-by-step explanation:

A graph with a relation that is not a function would have more than one y value at any x point. For example, in the second graph, at (-0.5) on the x-axis, the y values are 4 and -4 so its relation does not have a function.

Answer:

6. Line graph

Step-by-step explanation:

It shows how information changes over time

Answer:

D. $128.80

Step-by-step explanation:

You find tip by dividing the percentage by 100 and multiply that number by the decimal. ($112)*(.15)= $16.80

Then you add them and get $128.80

Answer:

500

Step-by-step explanation:

SP = 600.00

profit= 20%

SP = CP + 20% of CP

or, 600.00 = CP + 20/100 × CP

or, 60000= 120CP

or, CP = 60000/ 120

CP = 500

Answer:

a) 33

Step-by-step explanation:

triangle inequality theorem

- the sum of any two sides of a triangle must be greater than the third

Answer:

I'm confused on what you're trying to ask

Answer:

[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Step-by-step explanation:

When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Answer:

119

Step-by-step explanation:

Answer:

1212

Step-by-step explanation:

Answer:

C it skews the data to the right

Step-by-step explanation:

When we add the outlier $4.49, the two true options are A and C.

First, we have the set of data:

{$2.99, $3.19, $3.29, $2.99, $3.19, $2.79 ,$2.89, $2.99, $2.99, $2.99}

If we add the outlier $4.49, the median increases (because the value added is on the larger side).

The mode does not change, as it is the value that appears the most times, which in this case is $2.99.

Notice that again, $4.49 is the largest value of the data set. So it would skew the data to the right (the largest values are on the right side).

Then the correct options are:

A and C.

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Answer:

22 student are represented in that histogram.

Step-by-step explanation:

correct me if wrong please

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:

[tex]A=\dfrac{\sqrt{3}}{4}a^2[/tex]

Where, a is the side length of the triangle.

Putting [tex]a=14[/tex], we get

[tex]A=\dfrac{\sqrt{3}}{4}(14)^2[/tex]

[tex]A=\dfrac{\sqrt{3}}{4}(196)[/tex]

[tex]A=84.87049[/tex]

[tex]A\approx 84.9[/tex]

Therefore, the area of given regular polygon is 84.9 cm².

Answer:

See the explanation below

Step-by-step explanation:

Given data

Amount invested= $700

Time = 1 year

Say the percent increase for both investments is

The representation of the linear investment A is given by the linear function

y=mx+c

here m= the percent increase

        x= the time taken and

        c= the invested amount

By linear increase, any increment in x that is the time will lead to a corresponding increase in the y value which is the final amount

The representation of the exponential investment A is given by the linear function

y=ab^x

here a= the invested amount

        b= the rate

        x= the time

By exponential increase, any increment in x that is the time will lead to a "non-compliant"/ non-corresponding increase in the y value which is the final amount

Answer:

60 ft

Step-by-step explanation:

19. The given height of the triangle is 120 ft.

To find the height of the tree, we will use Mid-segment Theorem since the tree is directly at the middle segment of the triangle from inspection.

Now, this theorem states that the segment that joins the two midpoints of the two sides of a triangle would definitely be parallel to the third side and equal to half of the length of this same third side.

The third side here is 120 ft.. Therefore the tree height = 120/2 = 60 ft

Answer:

1. 15x-10

2. x²-x-12

3. x²-8x+12

4. 2x³+4x²-30x

5. 6x³- 12x²+6x

6. 4x³+12x²-20x

Step-by-step explanation:

4.2x(x+5)(x-3)

= 2x(x²-3x+5x-15)

= 2x(x²+2x-15)

= 2x³+4x²-30x

Answer:

A

Step-by-step explanation:

Your multiplying 5 times every week so it would be 5 times y

Complete question is;

Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.

8. θ = -25°

9. θ = -390°

Answer:

8) Negative coterminal angle = -385°

Positive coterminal angle = 335°

9) Negative coterminal angle = -750°

Positive coterminal angle = 330°

Step-by-step explanation:

For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.

Thus;

8) for θ = -25° ;

Negative coterminal angle = -25° - 360° = -385°

Positive coterminal angle = -25° + 360° = 335°

9) For θ = -390° ;

Negative coterminal angle = -390 - 360 = -750°

Positive coterminal angle = -390 + 360 = -30°

Since it's negative, we add 360 again till it's positive.

Thus = -30° + 360 = 330°

Answer:

the answer is A

Step-by-step explanation:

A is the answer my dear

X= 54

hope it helps

9514 1404 393

Answer:

  7

Step-by-step explanation:

There are 7 grid intersection points in the feasible region. They are ...

  (dock workers, forklift operators) = (x, y) = ...

  (8, 0), (9, 0), (10, 0), (7, 1), (8, 1), (6, 2), (5, 3)

Wendy can hire 7 different combinations of workers.

Step-by-step explanation:

This is an altitude hypotenuse problem.

Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2

Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83