Twice one number added to another
number is 18. If the second number is equal
to 12 less than 4 times the first number, find
the two numbers.
First complete the equations below, where x stands for
the first number and y stands for the second number.
2x + y = 18; y = [?]x-[]

b) you could choose :

red, black

black, red

red, red

c) p(black, red) = (6/18)(12/17) = 72/306 = 4/17

The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

Step-by-step explanation:

The given is,

                    Gabrielle is cutting a triangular sign

                     Base of 8 inches

                     The perpendicular distance from the base of the sign to its vertex is 9 inches

Step:1

             Formula for area of triangle is,

                                               Area, [tex]A = \frac{bh}{2}[/tex].....................................(1)

            Where, b - Base of triangle

                         h -  Height of triangle

            From given value,

                             b - 8 inches

                             h - 9

           Equation (1) becomes,

                                                         [tex]A = \frac{(8)(9)}{2}[/tex]      

                                                             [tex]=\frac{72}{2}[/tex]          

                                                             = 36

                     Area of triangle sign, A = 36 square inches

Result:

             The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

Answer:

36 in squared

Step-by-step explanation:

Answer: -2.25

Step-by-step explanation:

-2 4/9 or -2.25

Convert this to decimal

-2 4/9

4/9=0.4444

Add to the 2

-2.4444

-2.444 or -2.25

In negative rule,the lower the value,the greater the number

Therefore,

-2.25 is greater than -2.444

Answer:

it would be can D

Step-by-step explanation:

Can C have greater volume.

The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height. V =πr²h, is the formula for the volume of a cylinder with base radius r and height h.

Given:

a) Volume of Cylinder = πr²h

                                    = 3.14 x 2 x 2 x 6

                                    = 75.36 cube inches.

b) Volume of Cylinder = πr²h

                                    = 3.14 x 2.5 x 2.5 x 5

                                    = 98.125 cube inches.

c) Volume of Cylinder = πr²h

                                    = 3.14 x 3 x 3 x 4

                                    = 113.04 cube inches.

d) Volume of Cylinder = πr²h

                                    = 3.14 x 3.2 x 3.2 x 3

                                    = 94.4608 cube inches.

Hence, can C have greater volume.

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The location of the point Q is  (4,3)

The coordinates are given as:

R'(4,4), S (4,1), P(-3, 1), and Q'(-3, 4)

The transformation rule is given as:

90 degrees counterclockwise

The above rule is represented as:

(x,y) -> (-y,x)

So, we have:

(x,y) -> (-3,4)

Solve for x and y

(x,y) = (4,3)

Hence, the location of the point Q is  (4,3)

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Answer:

2.4cm

+

2.1cm

+

2.6cm

=7.1cm

Answer:

(2x + 7)(2x + 7)

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 49 \\ = 4 {x}^{2} + 14x + 14x + 49 \\ = 2x(2x + 7) + 7(2x + 7) \\ = (2x + 7)(2x + 7)[/tex]

Answer:

3) (2x+7)(2x+7)

Step-by-step explanation:

FOIL (first, outer, inner, last) it back out, you get 4x^2 + 14x + 14x + 49 which simplifies to the original.

Answer:

The area = 486 cm^2

The length is 54 cm and the width is 9 cm

54 times 9 = 486

Answer:

C. F.

Step-by-step explanation:

The vertex is the point at which the lines that define the angle's amplitude meet.

In this case, they meet in point F.

Answer:

F

Step-by-step explanation:

Answer:

the area would be 7x7x7= 343 would be the answer length times width times height

please please please mark brainliest

Step-by-step explanation:

Answer:

49 square feet

Step-by-step explanation:

length, l = 7 feet

Area of the square, A = l^2

Slot in the value of l

= 7^2

= 49 square feet

Answer:

   x = 2/5 = 0.400

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           4

Equation at the end of step  1  :

  5         1

 (— • x) -  —  = 0  

  8         4

Step  2  :

           5

Simplify   —

           8

Equation at the end of step  2  :

  5         1

 (— • x) -  —  = 0  

  8         4

Step  3  :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       8  

     The right denominator is :       4  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 3 2 3

Product of all  

Prime Factors  8 4 8

     Least Common Multiple:

     8  

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      5x

  ——————————————————  =   ——

        L.C.M             8  

  R. Mult. • R. Num.      2

  ——————————————————  =   —

        L.C.M             8

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x - (2)     5x - 2

————————  =  ——————

   8           8    

Equation at the end of step  3  :

 5x - 2

 ——————  = 0  

   8    

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 5x-2

 ———— • 8 = 0 • 8

  8  

Now, on the left hand side, the  8  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5x-2  = 0

Solving a Single Variable Equation :

4.2      Solve  :    5x-2 = 0  

Add  2  to both sides of the equation :  

                     5x = 2

Divide both sides of the equation by 5:

                    x = 2/5 = 0.400

One solution was found :

                  x = 2/5 = 0.400

Answer: 109 km/h

Step-by-step explanation:

Hi to answer this question we have to divide the distance traveled by the truck loaded with fruit (689-144) by the time that it took. (5)

Kilometers within the same time

Mathematically speaking:

(689-144)kilometers /5 hours = 109 km/h

Feel free to ask for more if needed or if you did not understand something.

Step-by-step explanation:

2x2 + 10 - 3x - 3 + 3

Solving like terms

2x2 - 3x + 10

Option B is the correct answer

Answer:

2x2 + 10 - 3x - 3 + 3

Step-by-step explanation:

2x2 + 10 - 3x - 3 + 3

Answer:

B

Step-by-step explanation:

Because the height is only used once (not squared) in the cone volume formula, the volume is only multiplied by 4.

The volume of the right circular cone must be multiplied by 4.

The correct answer is option (B). 4

[tex]V=\frac{1}{3}\times \pi \times r^{2} \times h[/tex], where 'r' is the radius of circular base and 'h' is the height of the right circular cone.

For given example,

The height of the right circular cone is multiplied by 4, but its radius remains fixed.

From the formula of the volume of the right circular cone,

[tex]V\propto h[/tex]

This means,  as height of the cone increases, the volume of the cone increases at the same rate.

As the height of a right circular cone is multiplied by 4, the volume of the cone must be multiplied by factor 4.

Therefore, the correct answer is option (B). 4

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Answer:

SA = 251.33 yd ^2

V = 301.59 yd ^3

Step-by-step explanation:

Right cylinder   2π  = 6.28318530718

Solve for surface area

A =2πrh+2πr2  = 24 x 2π + 2π x 16

A =150.796447372 + 100.530964915

A ≈251.33 yd^2

Right cylinder π = 3.14159265359

Solve for volume

V = πr2h = 16 x 6 = 96π

V = 3.14159265359 x 96

V = 301.592894745

V= 301.59 yd ^3

Answer:

Step-by-step explanation:

32

i did this

Answer:

122

Step-by-step explanation:

Inscribed Angles measure 1/2 of the central angle, using this:

61*2 = 122

Hi!

Answer: 200

The 2 triangles surface area add up to 120

the rectangle on the bottom is 30

The rectangle in the back is 16

And the rectangle on top is 34

So 120+30+16+34 = 200

Hope this is correct and helps!

Answer:

x=20

Step-by-step explanation:

The angles are vertical angles, which means they are equal

2x+20 = 60

Subtract 20 from each side

2x+20-20 = 60-20

2x = 40

Divide each side by 2

2x/2 = 40/2

x =20

Answer:

x=20. C.

Step-by-step explanation:

You see, 2x plus 20 and 60 are vertical angles. They are angles that go head to head. Vertical angles are also congruent, so if they are congruent you can write an equation, 2x+20=60. Solve for x, minus both sides by 20, and you get 2x=40. Divide both sides by 2 and you get x=20. Hope this helps!

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of different groups of three people that can be selected to fill the positions is 970,200.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that there are 100 applicants applying for three equal cosmetology positions.

Now, if a person takes up a position the same person can not take the other position, therefore, only 99 people will be left for the second position.

The same will happen with the third position, therefore, there will be only 98 people that can take the third position.

Therefore, the number of different groups of three people that can be selected to fill the positions is,

Number of different groups

= Number of applications to feel the first position × Number of applications to feel the second position × Number of applications to feel the third position

= 100 × 99 × 98

= 970,200

Hence, the number of different groups of three people that can be selected to fill the positions is 970,200.

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Answer:

The area surrounding the parallelogram can be found by subtracting 63 from 128

Step-by-step explanation:

Parallelograms can be said to be shapes which has four sides including two pairs of sides that are parallel and the four shapes are square, rectangle, rhombus, and rhomboid. Although rhombus is said to look exactly like a slanted square, while rhomboid is said to looks like a slanted rectangle.

Therefore when solving the problem she should apply the area surrounding the parallelogram which can be found by subtracting 63 from 128 since

She needs to find the area of the fabric surrounding the parallelogram pattern.

Answer:

B, C, E

Step-by-step explanation:

On e2020

B-The area of the parallelogram is (9) (7) = 63.

C-The total area of the block is 128 square inches.

E-The area surrounding the parallelogram can be found by subtracting 63 from 128.  

Answer:

C) 35

Step-by-step explanation:

[tex]^7C_3 \\ = \frac{7!}{3!(7 - 3)!} \\= \frac{7!}{3! \: 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = 35 \\ \huge \red{ \boxed{ \therefore \: ^7C_3 = 35}}[/tex]

Answer:

C=35

Step-by-step explanation:

⁷C₃

These is combination

using the rule it states that

ⁿCₐ= n!/(n-a)!a!

so therefore ⁷C₃= 7!/(7-3)!3! = 7!/4!3!=7x6x5x4x3x2x1/{(4x3x2x1)x(3x2x1)}

4x3x2x1 cancels itself as it appears up and down

7x6x5/6

6 cancels each itself as it appears up and down

7x5 = 35

Answer:

(D)

Step-by-step explanation:

When graphed, the lines do not cross at any point.  There is a picture of this below.

The system has no solution.

Answer:

D. No Solution

Step-by-step explanation:

Both lines have a slope of 2x so that means they are parallel and will never cross

Answer: D ; The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.

The true statement is The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.

Data is information that has been translated into a form that is efficient for movement or processing.

Given statement:

A stadium sold 33,300 tickets to a concert.

As, per the given number we can see that  the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.

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Answer:

Correct answer is C, He used a law of exponents on factors with different bases.

Step-by-step explanation:

Hope this help :)

Answer:

5 * (2m + n)

Step-by-step explanation:

10m2 - 5mn - 5n2

Simplify   ————————————————

                m - n