1/6 + -2/3 = ?

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Step-by-step explanation:

Equation:  y = 12x + 0

Explaination: A proportional relationship is one in which two quantities vary directly with each other. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Answer:

The are of the figure is 36m.

Step-by-step explanation:

Split the figure into 2 shapes, a rectangle and a triangle

6 * 5 = 30

Rectangle = 30

2 * 6 = 12

12 / 2 = 6

Triangle = 6

30 + 6 = 36m

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Answer:

shov

Step-by-step explanation:

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(a) The value of 9 + (1/2) /4 * 48

We have:

[tex]9 + (1/2) /4 * 48[/tex]

Evaluate the quotients

[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]

Evaluate the products

[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]

[tex]9 + (1/2) /4 * 48 = 15[/tex]

Hence, the value of the expression 9 + (1/2) /4 * 48 is 15

(b) If x = 2.7, 5x =

The value of x is given as 2.7.

So, we have:

[tex]5x = 5 * 2.7[/tex]

[tex]5x = 13.5[/tex]

Hence, the value of 5x is 13.5

(c) Equivalent expression of 12x - 8x + 3

The expression is given as: 12x - 8x + 3

So, we have:

12x - 8x + 3 = 4x + 3

Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3

(d) Equivalent expression of 3(x + 3y + 2x - y)

The expression is given as: 3(x + 3y + 2x - y)

So, we have:

3(x + 3y + 2x - y) = 3(3x + 2y)

Also, we have:

3(x + 3y + 2x - y) = 9x + 6y

Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y

(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3

We have: 1/2x^3 + 5.2y

So, the expression becomes

[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]

[tex]1/2x^3 + 5.2y = 19.6[/tex]

Hence, the value of 1/2x^3 + 5.2y is 19.6

(f) The commutative property of addition of 8 + 3m

The commutative property of addition of 8 + 3m is 3m + 8

(g) The algebraic expression for "5 times the sum of 2 and y?

The algebraic expression is 5(2 + y)

(h) The error of the student

The student's first error is in step 2: 4(2) + 4x(2)

(i) The statement that describes the expression 3 + y ÷ 2

The correct statement is (d) the sum of 3 and the quotient of y and 2

(j) The value of an expression

We have:

22 + 62 ÷ 22

Evaluate

22 + 62 ÷ 22 = 24.8

Hence, the value of the expression 22 + 62 ÷ 22 is 24.8

(k) Complete the blanks

We have: 34 + 2 ⋅ 5 = ____

Represent the blank with x

34 + 2 ⋅ 5 = x

Evaluate

44 = x

Hence, the blank is 44

(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?

The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the  (c) commutative property of multiplication

(m) The statement that best describes the expression 4y ÷ 9

The statement is: (c) 4 times y divided by 9

(n) The expression is equal to 5p

The expression is equal to 5p is (a) p + p + p + p + p

(o) The coefficient of y in the expression 2 ⋅ 4 + 3y

The coefficient of y in the expression is 3

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Answer:

b cannot be 1

Step-by-step explanation:

Given

[tex]y = ab^x + c[/tex]

Required

Values b cannot have

In an exponential equation, the value of b can be:

[tex]b > 1[/tex] ---> This represents growth

[tex]b < 1[/tex]----> This represents decay

[tex]b \ne 1[/tex] ---> The value of b can't be 1. If b is 1, then it is not an exponential function

Answer:

In ∆ABC AND ∆DEF

ABC=DEF...........each 90°

SIDE AB =SIDE ED...........given

SIDE BC =SIDE EF............B-F-C and E-C-F

∆ABC =∆DEF....................by SAS test

Answer:

Step 2 has the error because they added the five to -3 and got -8 when they should have gotten 2.

Step-by-step explanation:

Answer:

4:21

Step-by-step explanation:

since she read 4 sci-fi novels and 21 comic books, you put 4:21.

Answer:

it should be D

Step-by-step explanation:

because A is going at y=30x, and B is slower than it. So there's only one choice that matches. which is y=15x

Answer:

Step-by-step explanation:

The value of a simple interest account is

A=P(1+rt), A=present amount, P=principle, r=rate, t=time

A=20000(1+0.02(8))

A=20000(1.16)

A=$23200.00

Answer:

For one adult it costs $15

For one child it costs $10

Step-by-step explanation:

So..

One adult = $15

Two children = $20 10×10

= $35

Then..

Two adult = $30 15×15

Three children = $30 10×10×10

= $60

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Answer:

Your answer would be 686in

Step-by-step explanation:

I say this because were suposed to use the formula V= l x w x h nd when applied it looks like this 686in = 14 x 14 x 3.5. Your welcome

The Volume of Pizza box is 686 inches³.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

We have pizza box of shape Cuboid

length = 14 inches

width = 14 inches

height= 3.5 inches

So, Volume of box

= l x w x h

= 14 x 14 x 3.5

= 686 inches³

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Use the formula,

I = Prt

P = Principal amount = 400

I = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r = 0.06

so the annual interest rate is 0.06 or 6%

Answer:

she can make 4 bows

Step-by-step explanation:

Answer:

p=70+1.25x

Step-by-step explanation:

Answer:

P=1.25x+70

Step-by-step explanation:

So we know that Aaliyah earns $1.25 commission for every computer she sells. No matter what, she will make $70 per day, so that would be our constant. The $1.25 would be our independent variable since it can change depending on the amount of computers x she sells. Therefore, our equation is:

P represents the total pay, 1.25x represents the total commission for x computers, and the 70 is the base pay.

P=1.25+70

Answer:

y2-y1, x2-x1

Step-by-step explanation:

4-(-5)= 4-(-8)

4+5=4+8

9=12

9/12

3/4

the slope of line is 3/4

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

4(x+2)+2=14

4x+8+2=14

4x+10=14

4x=14 - 10

4x=4

x=4/4

x = 1

Answer:

The answer is D. 33-42

Step-by-step explanation:

Because it says that Alia got 42 fewer jelly beans than Kelly did so you would do 33-42.

Answer:

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. Example 1 : Lisa and Linda have got the same amount of money.

Step-by-step explanation:

Answer: 1

5+10=−20+1501+10−10=−20+150−10

Subtract the numbers

15=−20+140

15=−20+14015+20=−20+140+20

Combine like terms

35=140

35=1403535=14035

=4

Answer:

6/11

Step-by-step explanation:

let r be 0.54545454

multiply both sides by ten

10r = 5.4545454

since after the decimal point the digits between r and 10r are nor equal, we multiply again both sides by ten

100r = 54.54545454

since the digits after the decimal point between r and 100r are equal, we subtract the two

100r - r = 54.54545454 - 0.54545454

99r = 54

divide both side by 99

99r/99 = 54/99

through further simplification

r = 6/11

Answer:

x = -2 & x = 1

Step-by-step explanation:

Answer:

$90,710.74

Step-by-step explanation:

Answer:

it's the 3rd one

Step-by-step explanation:

it's so easy

Answer:

a=14.46ft

Step-by-step explanation:

1) a^2*b^2=c^2

2) a^2*4^2=15^2

3) a^2*16=225

4) a^2=209

5) a=[tex]\sqrt{209}[/tex]

6) a=14.46ft

Answer:

[tex]Total = 11m[/tex]

Step-by-step explanation:

Given

See attachment for dot plot

Required

The length of the 3 longest boards

From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2

The frequency is gotten by counting the total dots on each length.

So, the total is:

[tex]Total = 4 m* 1 + 3\frac{1}{2} m* 2[/tex]

[tex]Total = 4m + 7m[/tex]

[tex]Total = 11m[/tex]

Step-by-step explanation:

a) Line AB ll DC

b) Line GH acts as a transversal.

c) <10 ; <12 , <9 ; <11

d) <8 = 180° - 120° = 60°(Ans)

<6 = 120°(Ans)

<5 = 60°(Ans)

<4 = 60°(Ans)

<3 = 120°(Ans)

<2 = 120°(Ans)

<1 = 60°(Ans)

Answer:

a) AB and DC are parallel

b) GH and EF act as a transversal

c) Angle 11 and 9 and Angle 10 and 12

d)Angle 8: 60

Angle 6: 120

Angle 5: 60

Angle 4: 120

Angle 3: 60

Angle 2: 60

Angle 1: 120

Hope it helps!!!

Answer: 2 times larger.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of the circle = πr² = π7.3² = 53.29π

Area of major sector = 53.29π(285/360) ≈ 132.54 cm²

The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

The region bounded by the two radii and intercepted arc in a circle is called a sector .

The angle made by the radii to the center of the circle is called central angle .

if the measure of the angle is less than 180 degree then it is called minor sector and if the angle is more than 180 degree , it is called Major Sector.

It is given that

The radii of the circle is 7.3 cm

The angle subtended by the major sector at the center is 285 degree.

The area of the sector is given by

= ([tex]\rm \theta[/tex] / 360) * Area of the circle

Area of the circle is πr²

Area of the sector = ( 285 / 360) * (22/7) * (7.3)²

Area of the sector is 132.5 sq.cm

Therefore , The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.

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Answer:

area = 26 m²

Step-by-step explanation:

4x5 = 20

3x4x0.5 = 7.5

20 + 6 = 26 m²

Answer:  160%

Step-by-step explanation:

72/45 = 1.6 x 100 = 160%