Estimate the mass of one carton of cat food if a crate containing 196 cartons of cat food weighs 402 kilograms

Answer:

64 i think sorry if wrong

Step-by-step explanation:

Step-by-step explanation:

For a formal algebraic solution, you might do something like this....

x = 1st integer

x+2 = 2nd

x+4 = 3rd

x+6 = 4th

The sum is 328:

Then solve that equation to find x and thus find the solution to the problem.

Or, if formal algebra is not required (and you want to get the answer as fast as possible)....

The average of the four integers is 328/4 = 82; the four integers are the two odd integers either side of 82 and closest to 82 -- 79, 81, 83, and 85.

The required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.

Given that,
The sum of four consecutive odd integers is 328. What are the integers is to be determined?

A number system is represented as a process of writing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
let the consecutive odd number be
2n + 1 , 2n +3, 2n + 5, 2n + 7
Whose sum is 328. So,
2n +1 + 2n + 3 + 2n + 5 + 2n +7 = 328
8n + 16 = 328
8n = 312
n = 39
Now,
2n + 1  = 39 * 2 + 1 = 79
Similarly
2n +3 = 81
2n + 5 = 83
2n + 7 = 85

Thus, the required consecutive odd integers are 79, 81, 83, and 85 whose sum is 328.

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Answer:

1.5 or 3/2

Step-by-step explanation:

Step-by-step explanation:

y = y

x - 2 = 2x - 3 - 3x²

3x² + x - 2x = - 3 + 2

3x² - x = - 1

.

a = 3, b = -1, c = 0

.

[tex]\sf{x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a} }[/tex]

[tex]\sf{x = \frac{- (-1) \pm \sqrt{-1^{2} - 4 (0)} }{2(3)} }[/tex]

[tex]\sf{x = \frac{ 1 \pm \sqrt{1 - 0} }{6} }[/tex]

[tex]\sf{x = \frac{ 1 \pm \sqrt{1} }{6} }[/tex]

[tex]\sf{x = \frac{ 1 + 1 }{6} }[/tex]

[tex]\sf{x = \frac{ 2 }{6} }[/tex]

[tex]\sf{x = \frac{ 1 }{3} }[/tex]

.

Substitution :

y = x - 2

y = ⅓ - 2

y = ⅓ - 6/3

y = - 5/3

y = - 1 ⅔

.

Answer:

2.5*10^5

Step-by-step explanation:

Answer:

2.5 * 10⁵ is the correct answer

Answer:

hi

Step-by-step explanation:

i think A/100 or something like that

Answer:

m= 15

Step-by-step explanation:

⅔m-7=3

⅔m=3+7

2m=10*3

m=30/2

m=15

-2.3w-12

Add all like terms.

(8.9w-11.2w)+(6.2-12-6.2)

Answer:

[tex]\frac{-23w}{10}[/tex]  - 12

Step-by-step explanation:

Answer:

.3 repeating

Step-by-step explanation:

Answer:

b=-4/21

Step-by-step explanation:

Answer:

The best deal is the middle one.

Step-by-step explanation:

35.95 with a 20% discount.

You can do this the straight forward way. Take 20% 35.95

20/100 * 35.95 = 7.19

Now subtract this from 35.95

35.95 - 7.19 = 28.76

15/100 * 29.75 = 4.46

29.75 - 4.46 = 25.28

25% * 38.49 = 9.62

38.49 - 9.62 = 28.86

Answer:

he had $24 in the bank

Step-by-step explanation:

the total money he withdrew was $9 plus $3

that is $12

and we were told he withdrew half of his money from the bank

that is $12

that means he had twice of $12 in the bank which is $24

Answer:

$24

Step-by-step explanation:

9+3=12 Then 12x2=24

Answer:

Slope of AB is undefined; slope of CD is 0; the lines are perpendicular.

Step-by-step explanation:

Slope (M) can be found with the equation M=y2-y1/x2-x1, or change in y over change in x. In this equation, finding the slope is very easily done without even using the equation, because it can be seen in AB that the x value doesn't change (showing a vertical line), and in CD the y value doesn't change (showing a horizontal value). When they intercept, they make a cross-shape, so they are perpendicular.

Answer:

x = 8

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

There is a supplementary angle, so we know that 180°-100° would give 80°.

A triangles angles add up to 180, so 80+40=120

180-120=60°

Answer:

60 degrees

Step-by-step explanation:

Hi there!

Angle NAB and angle CAB are supplementary angles, meaning they add up to 180 degrees. First, solve for angle CAB:

180 - 100 = 80

Therefore, angle CAB measures 80 degrees.

The sum of the interior angles of a triangle is always 180 degrees. Now, we can solve for angle B by subtracting 80 and 40 from 180:

180 - 80 - 40 = 60

Therefore, angle B measures 60 degrees.

Another way we can solve this is by viewing the 100-degree angle as an exterior angle of a triangle. The two opposite interior angles always add up to an exterior angle of a triangle.

100 = 40 + 60

Therefore, angle B measures 60 degrees.

I hope this helps!

Answer: Yes

Step-by-step explanation: It's a fuction because not both of the lines hit the same point on the graph.

Answer: 466.56

Step-by-step explanation:

Volume = pi times radius^2 times height/3

Radius = 1/2 of the diameter

Volume = 3.24 times 6^2 times 12/3

Volume = 3.24 times 36 times 4

Volume = 116.64 times 4

Volume = 466.56

Answer:

a) -8/3 < 7/2

b) -5/11 > -6/11

Step-by-step explanation:

For a - Each negative number is less than a positive number.

For b- when we compare 5/11 and 6/11, it is 5/11= 0.4545... , 6/11=0.5454... The first number after (0.-) is 4 for 5/11, and 5 for 6/11. 4<5, it means that 5/11 < 6/11 , but in question they are negative, and in that situation the result will be the opposite. -5/11>-6/11

Answer:

Point-slope form: y - 9 = 1/3 (x - 3)

y-intercept form = 1/3x + 8

Step-by-step explanation:

Slope = (12-9)/12-3) = 3/9 = 1/3

Point-slope form:

y -9 = 1/3(x - 3)

y-intercept form

y - 9 = 1/3x -1

y = 1/3x - 1 + 9

y = 1/3x + 8

Point-slope form: y - 9 = 1/3 (x - 3) and y-intercept form = 1/3x + 8.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line will be calculated by the formula below:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (12-9)/12-3) = 3/9 = 1/3

Point-slope form:-

y -9 = 1/3(x - 3)

y-intercept form:-

y - 9 = 1/3x -1

y = 1/3x - 1 + 9

y = 1/3x + 8

Therefore, point-slope form: y - 9 = 1/3 (x - 3) and y-intercept form = 1/3x + 8.

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Answer:

I'm sorry. I cannot explicitly give you an answer. The picture of the polygon is not provided. You may have forgotten to upload it, nevertheless, I''ll try my best to be of help to you.

Step-by-step explanation:

There are many different polygons. But the general formula to finding the perimeter of a polygon is:

P = n * l

n = number of sides

l= value shared and assigned to each side

The general formula to finding the area of a regular polygon is:

A = (n*l*apothem )/2

n = number of sides

l = length of one side

apothem = the value of the segment connecting the center of the polygon to a midpoint of one of the sides.

Hope this helps a little! You can always submit the question again with the picture and I'll be more than happy to help you. <3

Answer:

C. 25m

Step-by-step explanation:

Answer:

Bodmas in full is Bracket Of Division

Bracket Of Division Multiplication Addition and Subtraction

[tex]2 + 4 \times 6 \div 3[/tex]

[tex]2 \div 3 \times 6 + 4[/tex]

[tex]0.66666 \times 6 + 4[/tex]

[tex]4 + 4[/tex]

[tex] = 8[/tex]

hope that helps you

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (14, 0 ) and (x₂, y₂  ) = (4, - 5 )

m = [tex]\frac{-5-0}{4-14}[/tex] = [tex]\frac{-5}{-10}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

1) P (1,1) Q( 3,2) R(3,4)

Answer:

(-1,1),( -3,2), (-3,4)

Step-by-step explanation:

Answer:

2 graphs represent a linear relationship

Step-by-step explanation:

2 out of your 3 graphs make a straight line if you were to draw a line throught the points

Answer:

D: [-3, 1]

R: [-4, 0]

Step-by-step explanation:

The domain means what x-values you can input and get a corresponding y-value. In this case, on the graph, there are x-values from x = -3 to x = 1, and all of those have corresponding y-values. If you look at x = 2, for example, there's no y-value, so that's not in the domain. So all points from x = -3 to x = 1 are in the domain, and if we put that in interval notation, we get D: [-3, 1].

The range, similarly, is what possible y-values can come out from inputting x-values. In this case, the graph contains y-values from -4 to 0, so the range is R: [-4, 0].

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (15,1)² - (9,7)²

x² = 228,01 - 94.09

x² = 133,92

x = 11,6in✔