A 12.5 oz box of cereal has a price of $2.07. What is the unit ratio of price to weight rounded to the nearest cent?

Answer:

The opposite of a number is its additive inverse. The sum of a number and its opposite is zero

Step-by-step explanation:

Answer:

- x, 0

Step-by-step explanation:

The opposite of x is - x because they cancel each other out. It doesn't matter what x is because - x and x are the same amount of distance from each other.

The sume of x and its opposite is 0.

Hope This Helps :)

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (4, 6) and K (–6, –2)

The distance is

[tex] |BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80[/tex]

We have the final answer as

Hope this helps you

Answer:

3^18

Step-by-step explanation:

[tex](3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489[/tex]

GCF = 38

38 = 2×19

76 = 4×19 = 2²×19

114 = 2×3×19

GCF = 2×19 = 38

Answer:

9:16

Step-by-step explanation:

In a similar rectangle , the ratio of lengths should be equal to ratio of widths.

Ratio of lengths =

[tex] \frac{length \: of \: rectangle \: 1}{length \: of \: rectangle \: 2} = \frac{3}{4} [/tex]

Hence , Ratio of widths =

[tex] \frac{width \: of \: rectangle \: 1}{width \: of \: rectangle \: 2} = \frac{3}{4} [/tex]

Area of rectangle 1 = Length 1 × Width 1 = 3×3 = 9

Area of rectangle 2= Length 2 × Width 2= 4×4= 16

Ratio of areas of both rectangles =

[tex] \frac{area \: of \: rectangle \: 1}{area \: of \: rectangle \: 2 \: } = \: \frac{9}{16} [/tex]

The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

In the given question,

algebraic expression =  [tex]y^2+6y+8[/tex]

the value of the algebraic expression at y = -3

[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]

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Answer:

10x+3y+2

Step-by-step explanation:

Answer:

yes Dan and Tess have enough money because the price is 22.9075 after discount

Step-by-step explanation:

the  original price of the book=24.50

the price of the book with taxes : 24.5+(24.5*10 %)=26.95 Dollars

the price for the students is :  24.50-(24.5*15%)=20.825

the price to students +tax= 20.825+(20.825*10%)= 22.9075

she took 15 % from original price :24.50-(24.5*15%)=20.825

she took 10 % of discounted price :20.825.50*10%= 1.04125

adds it back to find the purchase amount:1.04125+20.825=21.86625

Dan takes 85% of the normal purchase price: 24.50*85%= 20.825

then compute 110% to the discounted price: 20.825*110%=22.9075

Dan is right, he will pay 22.9075 which is actually the price that the student pay for the book after the discount. what Tess is that she calculated the tax before discount, she has to calculate the tax after discount.

Answer:

Domain: -2, 1

Range: -2, -4, 1

Step-by-step explanation:

A Domain is the first coordinate which is x

The Range is the second coordinate which is y

Hope This Helps :)

Answer:

3/4 divided 4=16 or 0.1875

Step-by-step explanation:

3/4 divided by 4 is easy all you would do is multiply the bottom number by what you are trying to divide which is 4 so you do 4x4 which is 16

Answer:

-1x/-5y=-1.5

Step-by-step explanation:

when you enter the values into the graph, you get the slope. then divide the total by 5 and you get the correct answer.

Answer:

210

Step-by-step explanation:

JQ is 5 times the length of JK

● JQ = 5JK

JK = 42

● JQ = 5 × 42

● JQ = 210

Answer:

Answer is trinomial

Step-by-step explanation:

degree:3x^2 y2 +3xy2 + 5xy

=the degree of first term = 4

= the degree of second term=3

= the degree of third term = 3

:. the degree = 4

the answer is 4

Answer:

is there supposed to be a picture with it? i can't solve it without more information. sorry

Answer:

15

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

The required solution is 40 and after 40days  $10 left for each of the gift card.

It is required to find the solution.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The first equation is 130 - 3x because you start with $130 and subtract 3 for each 30 day period.

The second equation is 110-2.50x

Set them equal to each other:  130 - 3x = 110 - 2.50x

Solve for x:

130 - 3x = 110 - 2.50x

130-110=3x-2.50x

20=0.50x

40 = x

After 30-40 day periods (1200 days), both cards should have equal value.

Card 1 after 40 periods,

=130 - 3(40) = $10 left

Card 2 after 40 periods

=110 - 2.5(40) = $10 left

Therefore, the required solution is 40 and after 40days  $10 left for each of the gift card.

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Answer:

105 cm squared

Step-by-step explanation:

15×6 to get the rectangle =90

then we have a triangle left so you do 15- 9 for the base =6 and multiply that by hight (6×5=30) and since it's a triangle and not a square we have to divide that answer by 2 and we get 15. Add those together, we get 105. Hope that helped!

The area of the shape below is 105 cm².

The area of a rectangle is calculated by multiplying the length and width of the rectangle.

The area of a triangle is equal to half of the product of the triangle's base and height.

Cut the shape given into a triangle and a rectangle as given in the following figure. Then the area of the shape is the sum of the area of the triangle and the area of the rectangle. In the shape, we can clearly specify that the base of the triangle is (15-9) cm=6cm and the height is

(11-6)cm=5cm.

Thus,

The area of the rectangle in the figure is (6×15) cm²=90 cm², and

the area of the triangle in the figure is (1/2)(6×5) cm²=15 cm².

Hence, the area of the shape is 90+15 cm² = 105 cm².

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Answer:

i. $26

ii. $(8 + 3t)

Step-by-step explanation:

Given that: automatic fee is $8, and fee per hour is $3. Then;

i. If he left his car in the lot for 6 hours, amount to be paid can be calculated as thus;

since fee per hour is $3, then for 6 hours; the fee = 6 x $3

                                                                                   = $18

Total amount to be paid after 6 hours = automatic fee + $18

                                                               = $8 + $18

                                                               = $26

For parking his car for 6 hours, he would pay $26

ii. Amount paid for t hours = automatic fee + $ 3 x t

                                                          = $(8 + 3t)

Answer:

the answer is c

Step-by-step explanation:

i just finished the lesson

Answer:

c

Step-by-step explanation:

Answer:

24. a. perimeter=6x-6 or 6(x-1) b. area=2x²+x-28

25. -5x² and 2x are not like terms so you cannot combine them.

Step-by-step explanation:

24. a. perimeter:

add up each side:

(2x-7)+(2x-7)+(x+4)+(x+4)= 6x-6 or 6(x-1)

b. area:

F.O.I.L.:

(2x-7)(x+4)=2x²+8x-7x-28

2x²+x-28

Answer:

0.0045

Step-by-step explanation:

:)

Answer:

  x = -7/9

Step-by-step explanation:

The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.

  6(-1/2(3x -4) +3x) = 6(5/6)

  -9x +12 +18x = 5 . . . . . . . . . simplify

  9x = -7 . . . . . . . . . . . . . . . . . subtract 12

  x = -7/9 . . . . . .divide by 9

__

Another way to do this is to eliminate parentheses first.

  -3/2x +2 +3x = 5/6

  3/2x = -7/6 . . . . . . . . . collect terms, subtract 2

  x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3

29.12 is the perimeter.

Answer:

14850 inches

Step-by-step explanation:

The complete question is...

A scale drawing of a living room is shown below:

A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.

What is the area of the actual living room in square feet? Round your answer to the nearest whole number.

The ratio of the scale = 1:30

This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.

We first scale up the drawing to 30 times to get the dimensions of the actual building.

The length on the drawing = 5.5 inches

The real length of the actual building = 5.5 x 30 = 165 inches

The width of the drawing = 3 inches

The width of the actual building = 3 x 30 = 90 inches

The area of the actual building = length x width

==> 165 x 90 = 14850 inches

Answer:

h = 10 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh

Here A = 75 and b = 15, thus

[tex]\frac{1}{2}[/tex] × 15h = 75 ( multiply both sides by 2 to clear the fraction )

15h = 150 ( divide both sides by 15 )

h = 10

Answer:

b = y - mx

Step-by-step explanation:

So we are trying to solve for b in the equation y = mx + b. To do this, we will have to somehow get the b by itself on one side and all of the non-b parts of the equation on the other side.

y = mx + b

Subtract mx from both sides.

y - mx = b

b = y - mx

So we have not solved for b. We have found that b = y - mx.

I hope you find my answer and explanation helpful. Happy studying. :)

Answer:

the domain is 5 and the range is 10

Step-by-step explanation:

Step 1) Set up a proportion

Proportion: percent / 100 = x / number

In context of the problem, the proportion is: 40 / 100 = 10 / number

Step 2) Cross-multiply and solve

100 x 10 = 40 x N

1000 = 40N

N = 25

Answer: The number is 25

Answer:

Step-by-step explanation:

Let the unknown number be x

[tex]40 \% \times x = 10 \\ \frac{40x}{100} = \frac{10}{1} [/tex]

Cross Multiply

[tex]40x = 100 \times 10 \\ 40x = 1000[/tex]

Divide both sides of the equation by 40

[tex] \frac{40x}{40} = \frac{1000}{40} [/tex]

Simplify

[tex]x = 25[/tex]

Answer: 11 stickers each

Step-by-step explanation:

given data:

packs of stickers bought by mark = 12 ( 5 ) = 60 stickers

no of stickers left with mark = 27

= Total no of stickers – stickers remaining with mark

= 60 – 27

= 33 stickers

he gave his 3 friends equal number of stickers.

3x = 33

x = 11

number of stickers received by each friend is 11

Answer:

$20.96

Step-by-step explanation:

He has $638.54 in his account and writes a check for $159.50. The amount of money he needs to stay at or above $500 is denoted by x.

638.54 - 159.50 + x >= 500

After writing a check, Malcom has $479.04 left in his account, which is below his cutoff.

479.04 + x >= 500

He must add at least x amount of dollars to his account to avoid a fee.

x >= 20.96

In order to avoid a fee, Malcom must add a minimum of $20.96 to his account.