6 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this
So as to include at least two gentlemen?
be done
​

Step-by-step explanation:

Given

Equation of line is [tex]y=2x[/tex]

Equation of line with slope m and intercept c on Y-axis is

[tex]y=mx+c[/tex]

Comparing the given line with slope-intercept form

[tex]\Rightarrow m=2\ \text{and}\ c=0[/tex]

The slope is also equal to [tex]\tan \theta[/tex]

[tex]\Rightarrow \tan \theta =2\\\Rightarrow \theta =63.43^{\circ}[/tex]

To sketch the equation of [tex]y=2x[/tex]

Answer:

9

Step-by-step explanation:

[tex]11x + 1 + 7x + 17 = 180 \: \: \: \: 18x + 18 = 180 \: \: \: \: \: \: \: 18x = 180 - 18 \: \: \: \: \: \: \: \:18x = 162 \: \: \: \: \: \: \: \: \: \: 162 \div 18 = 9[/tex]

Answer:

Constant of proportionality = 2.25

What this value means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Step-by-step explanation:

We are told that the daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat.

Let D be represent the daily fee and let the lent be L.

D ∝ L

Let the constant of proportionality be k.

Thus;

D = kL

k = D/L

For length of 15 ft;

k = 33.75/15

k = 2.25

For length of 17 ft

k = 38.25/17

k = 2.25

For length of 20 ft

k = 45/20

k = 2.25

Foe length of 21 ft

k = 47.25/21

k = 2.25

This means the formula for the relationship between the daily fee and boat length is; D = 2.25L

Thus, D/L = 2.25

What this means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Answer:

Step-by-step explanation:

21 because x= tend + lHk

Answer:

88

Step-by-step explanation:

X° + 116° = 180°(sum of opposite angle of a quadrilateral in circle is equal 180 °)

x°=180-116

x°=64°

therefore

A=(2(64)-40)

A=88°

Answer:

AC ≈ 11.3 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )

29 × sin23° = AC , then

AC ≈ 11.3 cm ( to 3 significant figures )

Answer:

2

Step-by-step explanation:

the points for g is -4,0 and x is 4,2 so... yea 2

Answer:

Step-by-step explanation:

I don't know what the first graph is for. It obviously isn't the graph of g(x).

In the second graph, f(x) and g(x) intersect when x=4

Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

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

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope

Answer:

numerator is 1

denominator is 25

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Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

I'm assuming you are referring to the Pythagorean Theorem, which has the equation [tex]a^{2} +b^{2} =c^{2} \\[/tex]

b=12 c=18

[tex]a^{2} +12^{2} =18^{2}[/tex]

[tex]a^{2}+144=324[/tex]

[tex]a^{2} =180[/tex]

a=[tex]\sqrt{180}[/tex]

a=[tex]6\sqrt{5}[/tex]

Answer:

[tex]q = 16\sqrt{2}, r = 16[/tex]

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

1.2

Step-by-step explanation:

I am just writing this sentence to get the required amount of characters.

Answer:

360 miles

Step-by-step explanation:

The unit rate here is (240 miles) / (2 hours), or 120 mph.

In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles

Answer:

360

Step-by-step explanation:

240/2 =120 So, you want to add 120 to 240 to get 360.

Answer:7 is the exponent

Step-by-step explanation:

Answer:

[tex]6^7[/tex]

Step-by-step explanation:

Exponents can be expressed through repeated multiplication, meaning that the amount of times one number is being repeated, would be the same amount as put in an exponent. Therefore :

6 * 6 * 6 * 6 * 6 * 6 * 6

6 is being repeated, therefore it's the constant.

6 is repeated 7 times, therefore the exponent is 7.

[tex]6^7[/tex]

Answer:

-7-4=-11

Step-by-step explanation:

-7 - 4 = -11

If you add -11 with +4 you will get -7.

So you have -11+4=-7

         and      -7-4=-11

hope this helps

Answer:

82in

Step-by-step explanation:

brainliest?

Answer:

3000.00

Step-by-step explanation:

72,000 divide by 12 months = 6,000

6000.00 divide by 2 = 3000.00

Answer:

This is called the product.

Step-by-step explanation:

Answer:

The result of a multiplication operation is called a product. The multiplication of whole numbers may be thought of as a repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier.

Step-by-step explanation:

Answer:

You split it into two parts then add them

Step-by-step explanation:

Answer:

3,375 chairs

Step-by-step explanation:

The weight of 25 folding chairs is 15 kg

Number of folding chairs : weight

= 25 : 15

How many chairs can be loaded on a truck having a capacity of

carrying 2025 kg load?

Let number of folding chairs = x

Number of folding chairs : weight = x : 2025

Equate both ratios

25 : 15 = x : 2025

25/15 = x/2025

Cross product

25 * 2025 = 15 * x

50,625 = 15x

x = 50,625/15

x = 3,375

Number of folding chairs = 3,375 chairs

Answer:

18.5

Step-by-step explanation:

74% of 25 = 18.5

Hope this helps!

Answer:

The long worm work is _ times as long as the shortest worm

The answer is 3/4 inches.

Step-by-step explanation:

Hope this helps :D

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equation in two variables.

So we have to form two equations to solve this.

Let the number of children be 'x' and number of adults be 'y'.

hence, we get as,

x+y = 630 ..... (1)

and also, to their total cost spending, we get as,

1.5x + 2.25y = 1170 ...... (2)

solving (1) and (2) we get as,

Number of children were = 330

and Number of Adults were = 300

(Solved in the attachment)

Answer:

Q1) The actual distance is 2400 km.

Q2) 1:5000000

Answer:

Revenue: $14

Profit: $4

Step-by-step explanation:

Hope this helps!

A brainlist would be appreciated! I'm almost an expert!