Find the value of 2.
A.126
B.121.5
C.117
D.63

Answer:

(2, 1 )

Step-by-step explanation:

Using the Section formula

For endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n

Then coordinates of point are

[ [tex]\frac{mx_{2}+nx_{1} }{m+n}[/tex] , [tex]\frac{my_{2}+ny_{1} }{m+n}[/tex] ]

Here m = 5, n = 2, (x₁, y₁ ) = (- 3, - 9), (x₂, y₂ ) = (4, 5), thus partitioned point

= [ [tex]\frac{5(4)+2(-3)}{5+2}[/tex] , [tex]\frac{5(5)+2(-9)}{5+2}[/tex] ]

= [ [tex]\frac{20-6}{7}[/tex] , [tex]\frac{25-18}{7}[/tex] ]

= ( [tex]\frac{14}{7}[/tex] , [tex]\frac{7}{7}[/tex] )

= (2, 1 )

Answer:

b. 3:2

Step-by-step explanation:

thick paintbrushes : thin paintbrushes

6 : 4 (both can be divide by 2,so we simplifiy by dividing both with 2)

3 : 2

The solution is Option B.

The ratio of thick paintbrushes to thin paintbrushes is 3 : 2

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the equation be represented as A

Now , the value of A is calculated as

Let the number of thin paintbrushes in the kit be = x

The value of x = 4

Let the number of thick paintbrushes in the kit be = y

The value of y = 6

Now , the proportion is given by

The ratio of thick paintbrushes to thin paintbrushes = number of thick paintbrushes in the kit / number of thin paintbrushes in the kit

Substituting the values in the equation , we get

The ratio of thick paintbrushes to thin paintbrushes = 6 / 4

The ratio of thick paintbrushes to thin paintbrushes = 3 / 2

The ratio of thick paintbrushes to thin paintbrushes = 3 : 2

Therefore , the value of A is 3 / 2

Hence , the ratio of the paintbrushes is 3 : 2

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Answer:

According to Euclidean geometry,a plane contains at least THREE points that DO NOT LIE on the same line.

Step-by-step explanation:

Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

According to Euclidean geometry, a plane contains at least; 3 Points

The 3 points; do not lie on the same line

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[tex]\dag\bf\:A(x_1,y_1)=(1,5)[/tex]

[tex]\dag\bf\:B(x_2,y_2)=(3,13)[/tex]

We have to find distance between point A and point B[tex].[/tex]

[tex]\bigstar\:\boxed{\bf{AB=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}}}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(3-1)^2+(13-5)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(2)^2+(8)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4+64}[/tex]

[tex]:\implies\tt\:AB=\sqrt{68}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4(17)}[/tex]

[tex]:\implies\underline{\boxed{\bf{\red{AB=2\sqrt{17}\:unit}}}}[/tex]

Answer:

m>a is 40

Step-by-step explanation:

4x + 50 = 90

4x = 40

x = 10

10*4 = 40

M>A = 40

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

Answer:

20

Step-by-step explanation:

1/5(6+3+1)^2

PEMDAS says parentheses first

1/5(10)^2

Then exponents

1/5 *100

Then multiply

20

Answer:

[tex]\Huge \boxed{\mathrm{20}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (6+3+1)^2[/tex]

Solve for the brackets or parenthesis first.

Adding the terms in the brackets or parenthesis.

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (10)^2[/tex]

Solving for the exponent or power.

[tex]\Rightarrow \displaystyle \frac{1}{5} \cdot (100)[/tex]

Multiplying both terms.

[tex]\displaystyle \Rightarrow \frac{100}{5} \\ \\ \\ \\ \Rightarrow 20[/tex]

Answer:

8.68 radians per second.

Step-by-step explanation:

The circumference of the wheel is 2 π r

= 38π meters.

So that is 164.95 / 38π of full turns of the wheel.

1 turn of the wheel = 2π radians , so the answer is

(164.95 / 38π)  * 2π  

= 164.95 / 19

= 8.68 radians per second.

Answer:

The answer is c.

Step-by-step explanation:

Equation which represents the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700 is equals to [tex]-1.25x^{2} +7.5x=0[/tex].

" Equation is defined as the relation between the variables with the sign of equality."

According to the question,

'x' represents the price of the ticket

Given,

Total revenue = $1700

Current charges = $8.50

Number of average tickets sells =200

Estimate in increase in the price of each ticket = $0.25

Average sales goes down by 5 people

From the given information we get the equation,

[tex](200-5x)(8.5+0.25x)=\$1700[/tex]

⇒[tex]1700 -42.5x+50x-1.25x^{2} =1700[/tex]

⇒[tex]-1.25x^{2} +7.5x=0[/tex]

Hence, the equation for the given condition is equals to [tex]-1.25x^{2} +7.5x=0[/tex]

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Answer:

48.484848 repeating   %

Step-by-step explanation:

The total number in the class is

17+16 = 33

Percent girls is girls/total = 16/33 =.48484848 = 48.484848 repeating   %

The sum of angles in a shape is the addition of all angles in the shape. The value of b is 90.

From the attached pentagon, we have:

[tex]Sum = 540^o[/tex] -- sum of angles.

This means that:

[tex]Sum = b + \frac 32b + 2b - 90 + 90 + b + 45[/tex]

Collect like terms

[tex]Sum = b + \frac 32b + 2b + b- 90 + 90 + 45[/tex]

Evaluate like terms

[tex]Sum = \frac{11}2b +45[/tex]

Substitute 540 for sum

[tex]\frac{11}2b +45 = 540[/tex]

Collect like terms

[tex]\frac{11}2b =-45 + 540[/tex]

[tex]\frac{11}2b =495[/tex]

Isolate b

[tex]b =495 \times \frac 2{11}[/tex]

[tex]b =\frac {990}{11}[/tex]

[tex]b =90^o[/tex]

Hence, the value of b is 90.

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Answer:

550 and 803

Step-by-step explanation:

Let the number be N = abc

Then:

There are:

Out of 900 numbers:

The easiest and simplest way is to try them all.

The trial reveals 550 and 803, so this is the answer.

Answer:

X = 12

Step-by-step explanation:

(4x+2) = 50 bc the angles are the same

subtract 2

4x=48

divide by 4

x=12

24 months

168 games

72 + 4m = 120 + 2m

4m - 2m = 120 - 72

2m = 48

m = 48 : 2

m = 24 months

24 months

72 + 4×24 = 72 + 96 = 168 games

120 + 2×24 = 120 + 48 = 168 games

Answer:

[tex]Y= 120n+635[/tex]

Step-by-step explanation:

Alright!

we are expected to model the total amount of money Myles have\

firstly he has with him $635

and he is earning $120 weekly

Say the number of weeks he worked is given is n

and let the amount of money Myles will have after n weeks be y

hence we can now model the equation to represent how much Myles will have after n weeks

[tex]Y= 120n+635[/tex]

The expression is same as the equation for a straight line

i.e [tex]y= mx+c[/tex]

Answer:-10,-7

Step-by-step explanation:

10*-1=-10

11*-1+4=-7

Step-by-step explanation:

In this question we need to decrease 216 by [tex]37\dfrac{1}{2}\%[/tex] or 37.5 %.

For this, firstly find 37.5 % of 216.

[tex]37.5\%\ \text{of}\ 216=\dfrac{37.5}{100}\times 216\\\\=81[/tex]

Now subtracting 81 from 216 to find decrease of 216 by 37.5 %.

So,

216-81 = 135

Hence, 135 is the decrease of 216 by 37.5 %.

The percentage decrease of 216 by 37 1/2% be is 135

Given:

Original value = 216

Percentage decrease = 37 ½%

Decrease = 37 ½% of 216

= 75/2 ÷ 100 × 216

= 37.5 / 100 × 216

= 0.375 × 216

= 81

New value = Original value - Decrease

= 216 - 81

= 135

Therefore, the percentage decrease of 216 by 37 1/2% be is 135

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Answer: 25 units.

Step-by-step explanation:

Given: B is the midpoint of line segment AC.

[tex]\Rightarrow\ AB=\dfrac{AC}{2}[/tex]

If [tex]AB = 4x + 1[/tex] and [tex]AC = 5x + 20[/tex], then we have

[tex]4x+1=\dfrac{5x+20}{2}[/tex]

Multiply 2 on both sides, we get

[tex]2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6[/tex]

Now, AC = 5(6)+20 =30+20=50 units

Then, BC= [tex]\dfrac{50}{2}=25\text{ units}[/tex]  

Hence, the length of BC is 25 units.

Answer:

y ≤ -21

Step-by-step explanation:

y+6≤-15

y≤-21

Hope this helps!

Answer: y + 6 <_ -15

- 6 -6

y <_ -21

Answer:

  2√3

Step-by-step explanation:

Multiply these binomials in the usual way:

  (1 +√3)(3 -√3) = 1(3 -√3) +√3(3 -√3)

  = 3 -√3 +3√3 -3 = (3 -3) +√3(-1 +3)

  = 2√3

Answer:

-5x-8.14 is the correct answer

Step-by-step explanation:

First distribute the terms

12x - 1.7 - 17x  -6.7 =

Then add/subtract similar terms

12x - 17x = -5x

-1.7 -6.7 = -8.14

so it's -5x -8.14

:)

Answer: -5x-8.4

Step-by-step explanation:

[tex]\left(12x-1.7\right)-\left(17x+6.7\right)[/tex]

remove the parentheses

[tex]12x-1.7-17x-6.7[/tex]

Simplify

Group like terms

[tex]12x-17x-1.7-6.7[/tex]

Add

[tex]12x-17x=-5x=[/tex]

[tex]-5x-1.7-6.7[/tex]

Subtract

[tex]-1.7-6.7=-8.4[/tex]

= [tex]-5x-8.4[/tex]

Answer:

The answer is 70 you would add the 8 degrees but them subtract it again

Answer:

S'(-1, -2)

Step-by-step explanation:

Coordinates of the vertices of the square PQRS have been given as P(2, 6), Q(6, 5), R(5, 1) and S(1, 2)

Rule to rotate a point by 180° about the origin,

(x, y) → (-x, -y)

By this rule new coordinates of the image will be,

P(2, 6) → P'(-2, -6)

Q(6, 5) → Q'(-6, -5)

R(5, 1) → R'(-5, -1)

S(1, 2) → S'(-1, -2)

Therefore, coordinates of S' will be (-1, -2).

Answer:

5/6

Step-by-step explanation:

e/f = 2/3

Then

e= 2f/3

f/g = 5/4

Then

g= 4f/5

So

e/g= 2f/3 / 4f/5 = 1/3 * 5/2 = 5/6

Answer:

5/6

Step-by-step explanation:

e/f = 2/3 After that e= 2f/3 f/g = 5/4 So then g= 4f/5 at last

Answer:

Cost of 1 pound if sliced ham = $4

Step-by-step explanation:

Mrs. Ruiz bought 4 1/4 pounds of sliced ham for $17. At that rate, what is the cost of 1 pound of sliced ham?

Total pounds of ham bought= 4 1/4 pounds

Total cost = $17

what is the cost of 1 pound of sliced ham

Cost of 1 pound if sliced ham = Total cost of 4 1/4 sliced ham / 4 1/4

= $17 ÷ 17/4

= 17 × 4/17

= 4

Note:4 1/4 = 17/4

Cost of 1 pound if sliced ham = $4

Check:

4 1/4 pounds × $4 per pound

= 17/4 × 4

= $17

Answer:

3

Step-by-step explanation:

The horizontal component of the force is 25.98 lb and the vertical component is 15 lb.

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

Given that,

The force applied by the man is 30 lb.

The angle the force makes with ground is 30°.

For a vector A making angle x with the horizontal axis the horizontal and vertical component are given as,

The horizontal component is ACos(x)

And, the vertical component is ASin(x)

Thus, the horizontal and vertical component of the force are

Horizontal component = 30Cos(30°)

                                      = 30 × √3 / 2

                                      =  25.98

Vertical component = 30Sin(30°)

                                  = 30 × √3/2

                                  = 15

Hence, the horizontal and vertical components of the force are 25.98 lb and 15 lb respectively.

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Answer:

When w =8. then...

8^2-4(8)-2.

64-32-2=30.

Answer:

Step-by-step explanation:

Plug in the value of w in the expression and use PEMDAS

w² - 4w - 2 = 8² - 4*8 - 2    {Need to calculate exponents}

                   = 64 - 4*8 - 2  {Now do multiplication}

                   = 64 -  32 - 2

                 =   32 - 2

                 = 30