Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate exterior angles with angle 5?

Answer:

this means each bottle will cost 28 dollars so

28k also 28*k

Hope This Helps!!!

The expression in the mathematical form will be 17 / 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Translate the phrase into an algebraic expression: k dollars per 28 bottles.

Then the division of the numbers k and 28 will be given by putting a division sign between them. Then we have

⇒ k ÷ 28

⇒ k / 28

The expression in the mathematical form will be 17 / 3.

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Let that be x

[tex]\\ \rm\hookrightarrow \dfrac{x}{3}=\dfrac{1}{6}[/tex]

[tex]\\ \rm\hookrightarrow 6x=3[/tex]

[tex]\\ \rm\hookrightarrow x=0.5lbs[/tex]

Answer:

what is the answer for 6x+4

ANSWER : 2(3x+2)

Answer:

Hi I'm always here to help!!!

_______________________

FACTOR

2(3x+2)

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Have A Great Day!!

Answer:

19.3 + n  = 30.4

Step-by-step explanation:

hope this helps :)

Answer:

30.4/15 = 2 2/75

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 30.4 by 15 and keep only what is to the left of the decimal point:

30.4 / 15 = 2.026666667 = 2

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

30.4- (15 x 2) = 0.4

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 30.4/15 as a mixed number is:

2 0.4/15 = 2 2/75

Step-by-step explanation:

7cm 5cm 15cm

7cm x 5cm

=35cm

35cm x 15cm

=525cm

Answer:

3 copies

Step-by-step explanation:

2/3 * 45 is 30

2/5 * 30 is 12

12+30= 42

45-42=3

I believe this is correct

Answer:

3

Step-by-step explanation:

If 2/3 of 45 were sold then what is left is 1 - 2/3 = 1/3 of 45 or (1/3)*45 = 15 copies.

Then 4/5 of 15 were sold and what is left is 1 - 4/5 = 1/5 of 15 or 3 copies.

Answer:

The radius of a rubber ball, r = 4.5 cm

We need to find the volume of this rubber ball.

The formula for the volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3V=34πr3

Put r = 4.5 cm in the above formula

\begin{gathered}V=\dfrac{4}{3}\pi \times (4.5)^3\\\\V=381.70\ cm^3\\\\\text{or}\\\\V=382\ cm^3\end{gathered}V=34π×(4.5)3V=381.70 cm3orV=382 cm3

So, the volume of this sphere ball is 382\ cm^3382 cm3 .

Answer:

Step-by-step explanation:

The measure of angle ∠WOV is 60 degrees and The measure of angle ∠YOZ is also 60 degrees.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

∠WOX = 30

It can be seen that the ∠XOY and ∠VOX are equal and 90 degrees.

The measure of angle ∠WOV will be

∠WOV + ∠WOX = 90

     ∠WOV + 30 = 90

             ∠WOV = 60

The measure of angle ∠YOZ will be

∠WOX + ∠XOY + ∠YOZ = 180   (Supplementary angle)

          30 + 90 + ∠YOZ = 180

                           ∠YOZ = 60

Answer:

m<32

Step-by-step explanation:

Here is your Answer:-

4 = whole number 1 = numerator 7 = denominator To convert mixed number 4 1/7 to improper fraction, you follow these steps: Multiply the whole number by the denominator 4 × 7 = 28.

The improper fraction of the mixed number 4 1/7 is given by A = 29/7

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

Let the mixed number be represented as A

Now , the value of A is

A = 4 1/7   be equation (1)

On simplifying the equation , we get

To convert the mixed number to improper fraction ,

A = [ ( 4 x 7 ) + 1 ] / 7

On further simplification , we get

A = [ 28 + 1 ] / 7

A = 29 / 7

Hence , the improper fraction is 29/7

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Answer:   do this

1/3+-x/4=7/12

Step-by-step explanation:

4.1/3/4+-x/4=7/12

a. The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls

b. The volume of the new rectangular box is 270 in³

Since the small box is a rectangular prism, its surface area, A = 2(lb + lh + bh) where

Now, when the dimensions are tripled, its new area is A' = 2(LB + LH + BH) where

So, A' = 2(LB + LH + BH)

= 2((3l)(3b) + (3l)(3h) + (3b)(3h))

= 2(3)(3)(lb + lh + bh)

= 18A

The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls

Now, since we require 1/8 of a roll of wrapping paper to initially cover all 6 sides of the small box with dimensions, l,b and h. Then the number of rolls we require to cover the box when its dimensions are tripled are (since the area is proportional to the number of rolls)

N = 18 × 1/8

= 18/8

= 9/4

= 2¹/₄ rolls

The number of rolls of wrapping paper it will take to cover the new box is 2¹/₄ rolls

The volume of the new rectangular box is 270 in³

The volume of the rectangular box V = lbh where

When the dimensions are tripled, V' = LBH where

So, V' = LBH

= (3l)(3b)(3h)

= 27lbh

= 27V

Now since the initial volume of the rectangular box, V = 10 in³

V' = 27V

V' = 27 × 10 in³

V' = 270 in³

So, the volume of the new rectangular box is 270 in³

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Answer:

51

.....

.....

.....

.....

....

Answer:

31. 122

32. 2400 cans

Step-by-step explanation:

31.

fig 1=1

fig 2=10

fig 3=26

fig 4=50

fig 5=82

fig 6=122

32. 520/13=40

40(60)=2400

Answer:

1) (x+5²)=x²+10x+25

2)(m-4²)=m²-8m+16

3)(3y-2²)=3y-4

4)(½y-50)(⅗y+10)=3/10y²-25-500

5)(n-6)(n-7)=n²-13n+42

6)(3d-2)(3d+2)=9d²-4

7)(a-12)(a+12)=a²-144

8)4(3d+1)(3d-1)=36d²-4

9)(2ab+3c)(2ab-3c)=4(ab²)-9c²

10)(2mn-5²=2mn-25

Step-by-step explanation:

1) (x+5²)=

step 1

expand the square

(x+5²)

(x+5)(x+5)

step 2

distribute

(x+5)(x+5)

x(x+5)+5(x+5)

step 3

distribute

x(x+5)+5(x+5)

x²+5x+5(x+5)

step 4

distribute

x²+5x+5(x+5)

x²+5x+5x+25

steps 5

combine like terms

x²+5x+5x+25

x²+10x25

solution=x²+10x25

Answer:7)(FOIL) a^2-144  

7) (distributive property) 0

Step-by-step explanation:

(using distributive property)

(a-12)(a+12)

Rewrite

a(a+12)-a(a+12)

Multiply

a^2+12a-a^2-12a

Combine like terms

a^2-a^2=0

12a-12a=0

0+0=0

0

(expand using FOIL)

(a-12)(a+12)

Front

a*a=a^2

Outside

a*12=12a

Inside

-12*a=-12a

Last

-12*12=-144

Put together

a^2+12a-12a-144

Combine like terms

a^2-144

Answer:

The answer is B) 8-⁶, hope that helped!

Answer:

The answer is C. 8^6

Step-by-step explanation:

1) if total number of the saled tickets is 189, then it is possible to write s+a=189, where s - number of student tickets, a - adult tickets.
2) if the ratio is 4:5, then it is possible to write s:a=4:5;

3) using the two equations it is possible to make up the system:

[tex]\left \{ {{s+a=189} \atop {\frac{s}{a} =\frac{4}{5} }} \right.[/tex]

4) Part A: after solution the system above the number of student tickets = 84; adult tickets = 105.

5) Part B: the revenue from selling the adult tickets is: 105*7=735, the student tickets is: 84*5=420. Then the required difference is: 735-420=$ 315.

Answer:

B: A depth of 7 feet brlow sea level.

Answer:

-6

Step-by-step explanation:

(-1) * (-2) * (-3)

= (2) * (-3)

= -6

Answer:

Value = 4

Step-by-step explanation:

32÷2-12

16-12

4

Answer: 800$ is the answer.

multiply to by both sides, remove 1/2.

Have a blessed day.

Answer:

7. 14. 21.28

Step-by-step explanation:

Multiply 7 four times

Answer:

5a ( x + 5y )

Step-by-step explanation:

→Find a common factor of 5 and 25

5

→ Now factorise

5a ( x + 5y )

The value of the equation is A = 5a ( x + 5y )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 5ax + 25ay   be equation (1)

On simplifying the equation , we get

On factorizing the equation by taking the common factor as 5a , we get

A = 5a ( x + 5y )

Therefore , the value of A is 5a ( x + 5y )

Hence , the equation is A = 5a ( x + 5y )

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Answer:

7x+33°+70°=180°

7x= 180°-103°

7x= 77°

x= 11°

..............

Answer:

C

Step-by-step explanation:

In the Cartesian coordinate system, a line perpendicular to the line that's across the Y axis is a row across the X axis. You see Y=1 is the line across Y axis, so we need a row that's across the X axis. So C. X=4 is the ideal choice.

If a line is drawn on a coordinate grid by the equation y = 1 then x=4 would represent a row perpendicular to it.

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

A line is drawn on a coordinate grid by the equation y = 1.

The equation y = 1 represents a horizontal line on the coordinate grid, passing through all the points where y-coordinate is 1.

A line that is perpendicular to a horizontal line is a vertical line.

The vertical line x = 4 passes through all the points where x-coordinate is 4, and is perpendicular to the horizontal line y = 1.

Hence, if a line is drawn on a coordinate grid by the equation y = 1 then x=4 would represent a row perpendicular to it.

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Answer:

Step-by-step explanation:

See attached image.

Answer: 24 ft

Step-by-step explanation:

Answer:

9/4

Step-by-step explanation:

[tex] - 16 {t}^{2} + 28t + 18 = 0[/tex]

[tex] {t}^{2} - \frac{7}{4} t - \frac{9}{8} = 0[/tex]

[tex] {t}^{2} - \frac{7}{4} t = \frac{9}{8} [/tex]

[tex] {t}^{2} - \frac{7}{4} + \frac{49}{64} = \frac{9}{8} + \frac{49}{64} [/tex]

[tex](t - \frac{7}{8} ) {}^{2} = \frac{121}{64} [/tex]

[tex]t - \frac{7}{8} = ± \frac{11}{8} [/tex]

[tex]t = \frac{18}{8} = \frac{9}{4} [/tex]