A machine is used to fill each of several bags with 16 ounces of sugar. If the bag
weights 0.3 ounces more or less than the desired weight, the bag is rejected. Write
this equation to find the heaviest and lightest bag the machine will approve.

Answers

Answer 1

Answer: 15.7oz < M < 16.3oz

Step-by-step explanation:

The average mass of each bag will be 16oz

If the bag weighs 0.3 oz more or less than 16 oz, then it is rejected.

Then the extremes are:

16oz - 0.3oz = 15.7oz (this mas counts as a rejected one)

So we have that the mass of the bag must be larger than 15.7oz

M > 15.7oz

Now, the other extreme is:

16oz +0.3oz = 16.3oz (again, this a rejected mass)

Then the mass of the bag must be smaller than 16.3oz

M < 16.3oz

Then the range of the accepted mass of the bags is:

15.7oz < M < 16.3oz


Related Questions

find the equation of the line that is parallel to y=3x-2 and that contains the points ( 2,11)

Answers

Answer:

y = 3x+5

Step-by-step explanation:

[tex](2,11)=(x_1,y_1)\\y =3x-2\\m = 3\\\\Substitute \:values\:into \:point \:slope\:form\\y-y_1=m(x-x_1)\\y-11=3(x-2)\\y-11=3x-6\\y=3x-6+11\\y = 3x +5[/tex]

Jamal recorded three values for measuring water in a graduated cylinder. The
values were 25.85, 24.1, and 24.56. What was the TOTAL amount of water
measured? *
Your answer

Answers

Answer:

74.51 ml

Step-by-step explanation:

Hello!!!

from the problem statement we can infer that Jamal had a container of water where he fetches from to fill the graduated cylinder.

More so, after some couple of trails he recorded as follows

25.85, 24.1, and 24.56.

Hence the total amount of water he measured out of the container after three trials is

25.85+24.1+24.56=  74.51 ml

(assuming the cylinder is calibrated in ml)

The total volume of water he measures is  74.51 ml

Amari is setting up a fenced-in area for his dog. The space is a square with an area of 64 feet squared. How long will one side of the fence be

Answers

Answer:

8

Step-by-step explanation:

The formula for the area of a square is s^2, where s is the length of one side.  64 is a perfect square, so square root it and you find that one side is 8.

Please help. 5. Give an example of an open equation. (1 point)

Answers

Answer:

x+4 = 8

(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)

Step-by-step explanation:

An example would be x+4 = 8

(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)

PLZ HELP I will give the brain!! Which of the following statements is true about completing the​ square? 1. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation. 2. When completing the square, add the square of half the coefficient of x to both sides of the equation. 3. When completing the square, subtract the square of half the coefficient of x from both sides of the equation. 4. When completing the square, add half the coefficient of x to both sides of the equation.

Answers

Answer:

Option 2

Step-by-step explanation:

When completing the square, you have to find the number that will allow you to find the perfect square trinomials and when you factor that it should get the form a^2 + 2ab + b^2 and if a is equal to 1, then to find b, you have to take the half of the coefficient and square it because of the equation, and to maintain a balanced equation, you have to add it to both sides (same to both sides)

Hope this helped.

Answer:

[tex]\huge \boxed{\mathrm{Option \ 2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

When completing the square, we add the square of half the coefficient of x to both sides of the equation.

[tex]\Longrightarrow \ \displaystyle ( \frac{b}{2} ) ^2[/tex]

Where b is the coefficient of x in the equation.

[tex]\rule[225]{225}{2}[/tex]

What would be the steps you would
take to solve the following problem?
5-2x=13

Answers

Answer:

-4

Step-by-step explanation:

1. Subtract the 5 from both sides

2. Now you have -2x=8. From here you are going to divide -2 from both sides to isolate the x value

3. Once you've done that you will have x=-4

Find the value of x ......
Please answer this question..... ​

Answers

Answer:

x=5/2

Step-by-step explanation:

(2/7)^2x *(2/7)=(2/7)^6

(2/7)^(2x+1)=(2/7)^6

Equate indices

2x+1=6

2x=6-1

2x=5

x=5/2

Answer:

When multiplying the same number, raised to different powers, you carry the number forward so (2/7)^6  is part of the answer.

Now, we have to calculate the exponent.

2x + 1 = 6

So, the answer is x = 2.5 which means

[2/7]^(2*2.5) x [2/7]^1 = [2/7]^6 which equals

[2/7]^5 x [2/7]^1  = [2/7]^6

Step-by-step explanation:

A rectangle's length is 8 and the width is x + 3. Find the area.

Answers

Answer:

8x + 24

Step-by-step explanation:

Length = 8

Width = x + 3

Area of the rectangle = 8(x + 3)

= 8x + 24

Verizon offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls, and Plan 2 charges $11 per month plus $0.04 per call. For how many monthly calls is Plan 1 more cost effective than Plan 2?​

Answers

Answer:

Number of monthly calls = 475

Step-by-step explanation:

Given:

Plan 1 = $30 per month unlimited calls

Plan 2 = $11 + $0.04(per call)

Find:

Number of monthly calls, plan 1 better than plan 2

Computation:

Plan 1 (Cost) < Plan 2 (Cost)

30 < 11 + 0.04(x)

19 < 0.04(x)

475 < (x)

Number of monthly calls = 475

Which of the following is equivalent to the complex number i^13

Answers

Answer:i

Step-by-step explanatio

The number i¹³ is given by the equation A = i

What is an Equation?

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

The complex number is n = i¹³

Now , the value of A is A = i¹³

On simplifying the equation , we get

i = √ ( -1 )

i² = -1

i³ = -i

i⁴ = 1

So ,

i¹³ = i¹² ( i )

The value of i¹² = ( i⁴ )³

The value of i¹² = ( 1 )³

The value of i¹² = 1

Now , the value of i¹³ = i¹² x i

On simplifying the equation , we get

The value of i¹³ = 1 x i

The value of i¹³ = i

Hence , the value of i¹³ = i

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Find the value of y for which the value of 1.7y+37 is 14 less than the value of 9.3y–25 HELP QUICK

Answers

Answer:

y=10

Step-by-step explanation:

1.7y+37 is 14 less than the value of 9.3y–25

1.7y + 37 = 9.3y - 25 - 141.7y + 37 = 9.3y - 399.3y - 1.7y = 37 + 397.6y = 76y = 76/7.6y = 10

Answer is 10

Answer:

y=10

Step-by-step explanation:

10 x 1.7 = 17

17 + 34 = 51

10 x 9.3 = 93

93 - 25 = 51

Same answer, so y = 10

Someone hellpppppnnnnnnnnnnn

Answers

Answer: X=11

Step-by-step explanation:

                                     7x+ 13 = 90

                                                          (bring like terms together)

                                      7x=90-13

                                      7x=77

                                           therefore x= 11

HOPE THIS HELPS YOU....

       

AND MARK THE BRAINLIEST

The sum of four consecutive integers is 78. What
are the 3rd and 4th integers?

Answers

Answer:

  20, 21

Step-by-step explanation:

The number halfway between the middle two integers is the average of the four:

  78/4 = 19.5

Then the four integers are 18, 19, 20, 21.

The 3rd and 4th integers are 20 and 21.

write the divisor to complete the equation number 3
please answer I really need the answers now

Answers

Answer:6.3 ÷ 100 = 0.063

True or false: equilateral triangles can be classified as acute right or obtuse

Answers

Answer:

False

Step-by-step explanation:

Equilateral triangles can only be acute.

Because a triangle can only have 180 degrees in angles, in an equilateral triangle all angles must be less than 90 degrees since they all measure the same (60 degrees)

I hope this helps!

-TheBusinessMan

Answer: False.

Step-by-step explanation:

All the angles of an equilateral triangle are 60° all less than 90° so only acute is correct.

If the temperature starts at 40 degrees and increases 10 degrees, what
will the final temperature be? *
+ +
-40 -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 35 40 45 50
-40
O -50
O 50
O 10

Answers

Answer:

50 degree Celsius

Step-by-step explanation:

40+10 = 50

Which equation is for a line passing through (-2,3) and (3,4)?
O x-5y-19
0 5x-y-17
O x-5y=-17
O x-y=1

Answers

Answer:

I need help on this to what is it

Write and simplify an absolute value
expression to find the distance between -3
and 8.
-
=[ans]

Answers

Think of it in terms of a number line, the distance between -3 and 8 is the difference which is 8-(-3) = 11

Recently, the Dow opened at 26,428 ad closed at 26,340. what was the change in the Dow for the day?

Answers

Answer:

88.

Step-by-step explanation:

428-360 = 88

add 16k to the quotient of 4m divided by 11

Answers

Answer: (16k + 4m)/11

Answer:

[tex]\Large \boxed{\frac{4m}{11}+16k}[/tex]

Step-by-step explanation:

The quotient is the result from division.

4m divided by 11 is:

[tex]\displaystyle \frac{4m}{11}[/tex]

16k is added to the result.

[tex]\displaystyle \frac{4m}{11}+16k[/tex]

The weight of meteorite A is 2 times the weight of meteorite B. If the sum of their weights is 69 ​tons, find the weight of each.

Answers

Answer:

Meteorite A= 46  Meteorite B = 23

Step-by-step explanation:

We can solve this problem by making an equation in which we add the weights, A + B = 69

We are told that A is equal to 2 times the weight of meteorite B, in other words, A is equal to 2B

We can make this into an equation and solve for B'

A + B = 692B + B = 69            Substitute A for 2B3B = 69                   Add like terms[tex]\frac{3}{3}[/tex] B = [tex]\frac{69}{3\\} \\[/tex]                   Divide each side by 3 to isolate the BB= 23

In order to solve for A, we simply input B=23 into 2B

A = 2BA = 2(23)A = 46

Check:

A + B = 69

46+23 = 69

69 = 69

Convert 21/4 into a mixed number

Answers

5(1/4). Divide 21 by 4 and write the answer by writing the integer and next to it write the remainder over the divisor.

please help! Thank you

Answers

Answer: 1. -90

Step-by-step explanation:

5xy², if x=-2 and y=-3

You substitute the value into the original expression

 5xy²

=5(-2)(-3)² ⇔ substitution

=(-10)(9) ⇔ multiply 5 and -2, and simplify (-3)²

=-90

Hope this helps!! :)

Steps to solve:

5xy²; x = -2, y = -3

~Substitute

5(-2)(-3)²

~Solve the exponent to y

5(-2)(9)

~Multiply inside

5(-18)

~Multiply

-90 (Option 1)

Best of Luck!

perform the indicated operation. (4 - 8i)(2 – 5i)​

Answers

Answer:

-32 - 36i.

Step-by-step explanation:

(4 - 8i)(2 – 5i)

= 4*2 + 4*-5i + 2*-8i  + (-8i*-5i)

= 8 - 20i - 16i + 40i^2      Now i^2 = -1 so:

= 8 - 36i - 40

= -32 - 36i.

Hi there! :)

Answer:

[tex]\huge\boxed{-32 - 36i}[/tex]

(4 - 8i) (2 - 5i)

FOIL:

(4 · 2) + (4 · (-5i) + ((-8i) · 2) + ((-8i) · (-5i))  =

Simplify: (Remember, i² = -1:

8 + ( - 20i) + (-16i) + (40i²) =

8 - 20i - 16i - 40

Combine like terms:

-32 - 36i

-9/11 30 as a decimal please help ​

Answers

Answer: -0.81 .30

Step-by-step explanation:

1. Draw the graph of each of the following linear equations in two variables
(1) x+y=4 (ü) x - y=2
2 Give the equations of two lines passing through our​

Answers

The answer is b I just did it on the test hope it helps

Work out 72 cents as a percentage of 83 cents.

Answers

Answer:

86.74%

Step-by-step explanation:

72/83 = 0.8674

86.74%

89% is the way u do it I think so ya

*HURRY AND ANSWER CORRECTLY PLS*
A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. What is the probability of a passenger choosing chips and a soda? a.)25% b.)33% c.) 50% d.) 17%

Answers

The probability of a passenger choosing chips and soda will be 25%.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A particular airline offers three free snack options to its passengers: cookies, chips, and crackers.

Along with the snack, passengers are offered two free drink options: soda or water.

Then the probability of a passenger choosing chips and soda will be

P = 0.5 x 0.5

P = 0.25

Then the probability in the percentage will be

P = 0.25 x 100

P = 25%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

-4 - (-9). please help

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 4 - ( - 9)}[/tex]

When there is a ( - ) in front of an expression in Parentheses, change the sign of each term

⇒[tex] \sf{ - 4 + 9}[/tex]

Calculate

⇒[tex] \sf{5}[/tex]

Hope I helped!

Best regards!!

Answer:

5

Step-by-step explanation:

- 4 - ( -9 )

Two negatives multiplied  = positive

Therefore,

-4 + 9 = 5

Write the equation of the line that passes through the points (1,4) and (-7,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

There are two possible answers

y - 4 = (3/8)(x - 1)y - 1 = (3/8)(x + 7)

There are two answers because there are 2 points given. Both equations convert to the slope intercept form equation y = (3/8)x + 29/8

=================================================

Work Shown:

First we need the slope

m = (y2 - y1)/(x2 - x1)

m = (1-4)/(-7-1)

m = -3/(-8)

m = 3/8

-------------------

Using this slope along with the point (x1,y1) = (1,4) gets us the following equation

y - y1 = m(x - x1)

y - 4 = (3/8)(x - 1)

which is one way to express the equation in point-slope form

-------------------

Or we could easily use the other point as (x1,y1). The order of the points does not matter.

y - y1 = m(x - x1)

y - 1 = (3/8)(x - (-7))

y - 1 = (3/8)(x + 7)

is another valid answer.

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