a packet of crips weighs 32 grams to the nearest gram. A multipack of crisps contain 10 packets. work out the least and greatest weights of the multipack. you can ignore the weight of the multipack wrapper.


its to do with upper and lower bounds​

Answers

Answer 1

Answer:

The least and the greatest weights are 315 grams and 325 grams

Step-by-step explanation:

* Lets explain what is the upper and lower bounds

- The lower bound is the smallest value that would round up to the

  estimated value.

- The upper bound is the smallest value that would round up to the next

 estimated value.

- Ex: a mass of 70 kg, rounded to the nearest 10 kg, has a lower

 bound of 65 kg, because 65 kg is the smallest mass that rounds to

 70 kg. The upper bound is 75 kg, because 75 kg is the smallest mass

 that  would round up to 80 kg, then 65 ≤ weight < 75

- So to understand how to find them divide the nearest value by 2

 and then subtract it and add it to the approximated value

* Lets solve the problem

- A packet of crisps weighs 32 grams to the nearest gram

- The nearest value is 1 gram

∴ 1 ÷ 2 = 0.5

- To find the lower bound subtract 0.5 from the approximated value

∵ The approximated value is 32

The lower bound = 32 - 0.5 = 31.5 grams

- To find the upper bound add 0.5 from the approximated value

∵ The approximated value is 32

∴ The upper bound = 32 + 0.5 = 32.5 grams

∴ 31.5 ≤ weight of one packet < 32.5

∵ A multipack of crisps contain 10 packets

- To find the least and greatest weights of the multipack multiply the

  the lower bound and the upper bound by 10

∵ The least value of one packet is 31.5

∴ The least weight of the mulipack = 31.5 × 10 = 315 grams

∵ The greatest value of one packet is 32.5

∴ The greatest weight of the mulipack = 32.5 × 10 = 325 grams

∴ 315 ≤ weight of multipack < 325

* The least and the greatest weights are 315 grams and 325 grams

Answer 2

Least weight of the multipack: 315 grams. Greatest weight of the multipack: 325 grams. Each packet ranges from 31.5 grams to 32.5 grams.

let's work through this step by step.

1. **Weight of a single packet of crisps**: Given that a packet of crisps weighs 32 grams to the nearest gram, this means the actual weight could be anywhere from 31.5 grams to 32.5 grams. Since we're considering the least and greatest weights, we'll use these bounds.

  - Least weight: 32 grams - 0.5 grams = 31.5 grams

  - Greatest weight: 32 grams + 0.5 grams = 32.5 grams

2. **Weight of the multipack**: Since the multipack contains 10 packets, we'll multiply the least and greatest weights of a single packet by 10 to find the least and greatest weights of the multipack.

  - Least weight of the multipack: 31.5 grams/packet x 10 packets = 315 grams

  - Greatest weight of the multipack: 32.5 grams/packet x 10 packets = 325 grams

So, the least weight of the multipack is 315 grams, and the greatest weight is 325 grams.


Related Questions

What is the 100th term of a sequence with a1=222 and d=-5

Answers

Answer:

- 273

Step-by-step explanation:

The n th term of an arithmetic sequence is

• [tex]a_{n}[/tex] = a₁ + (n - 1)d ← substitute in values

[tex]a_{100}[/tex] = 222 + (99 × - 5 ) = 222 - 495 = - 273

In the coordinate plane choose the grap with the conditions given.
x+y=10

Click on the graphic to choose the correct answer.

Answers

Answer:

(1,9),(3,7),(5,5) (7,2)

Answer with explanation:

The sum of two distinct variables is 10.

  x + y=10

It is linear equation in two variables.

To plot this graph in two dimensional plane find two distinct points satisfying the equation.

x=0, gives , y=10 or , y=0 gives , x=10.

x=1, gives ,y=10 -1,→y=9

So,two ordered pairs lying in the coordinate system are , (0, 10) and (1, 9) or (10,0) and (1,9), you will get the equation of line.

Otherwise , you can Draw the graph of this function by writing the equation in Slope Intercept form which is as:

  [tex]\frac{x}{10}+\frac{y}{10}=1[/tex]

By writing the slope intercept form of line shows that , the line passes through , (10,0) and (0,10) means cutting x axis and y axis at these two points.

Which decimal is equivalent to 8/11?

Answers

Answer:

.72 or .73 which ever one is on your sheet

Step-by-step explanation:

Answer:

0.72 or 0.73

Step-by-step explanation:

8/11 expressed as a decimal is 0.72 or 0.73

(15 points ) PLEASE HELP ASAP! Also please show your work! Solve.
Use the quadratic formula. Write solutions in simplist radical form. 2x^2+2x-1=0

Answers

Answer:

Step-by-step explanation:

ax^2+bx+c

-b +- sqaure root of b^2 -4ac/2a

-2 +- square root (2)^2-4(2)(-1)/2(2)

-2 +- square root 4+8 /4

-2 +- 2 square root 3 /4

reduce

-1 +- square root 3/2

Answer:

[tex]\large\boxed{x=\dfrac{-1-\sqrt3}{2}\ or\ x=\dfrac{-1+\sqrt3}{2}}[/tex]

Step-by-step explanation:

The quadratic formula of a quadratic equation:

[tex]ax^2+bx+c=0[/tex]

Discriminant of a Quadratic is [tex]\Delta=b^2-4ac[/tex]

If Δ < 0, then an equation has no real solution (has two complex solutions)

If Δ = 0, then an equation has one real solution [tex]x=\dfrac{-b}{2a}[/tex]

If Δ >0, then an equation has two real solutions [tex]x=\dfrac{-b\pm\sqrt{\Delta}}{2a}[/tex]

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

We have the equation:

[tex]2x^2+2x-1=0\\\\a=2,\ b=2,\ c=-1[/tex]

Substitute:

[tex]\Delta=2^2-4(2)(-1)=4+8=12>0\\\\\sqrt\Delta=\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3[/tex]

[tex]x=\dfrac{-2\pm2\sqrt3}{(2)(2)}=\dfrac{-2\pm2\sqrt3}{4}[/tex]    simplify by 2

[tex]x=\dfrac{-1\pm\sqrt3}{2}[/tex]

Consider the function f(x)=x^2−6x−2 . Which equation shows function f written in vertex form? f(x)=(x−3)^2−5 ​ f(x)=(x+3)^2−11 ​ f(x)=(x+3)^2−5 ​ f(x)=(x−3)^2−11 ​

Answers

Answer:

f(x) = (x − 3)² − 11

Step-by-step explanation:

To convert to vertex form, complete the square.

f(x) = x² − 6x − 2

f(x) = x² − 6x + 9 − 9 − 2

f(x) = (x − 3)² − 11

We need to complete the square: if we add and subtract 11 from the expression, we have

[tex]f(x)=x^2-6x-2=x^2-6x-2+11-11=x^2-6x+9-11=(x-3)^2+11[/tex]

subtract: (2x^2-7x+5)-(-6x^2-4x-2)

A. -4x^2-11x+3
B. -4x^2-5x+3
C. 8x^2-13x+7
D. 8x^2-3x+7

Answers

Answer:

[tex]\large\boxed{D.\ 8x^2-3x+7}[/tex]

Step-by-step explanation:

[tex](2x^2-7x+5)-(-6x^2-4x-2)\\\\=2x^2-7x+5-(-6x^2)-(-4x)-(-2)\\\\=2x^2-7x+5+6x^2+4x+2\qquad\text{combine like terms}\\\\=(2x^2+6x^2)+(-7x+4x)+(5+2)\\\\=8x^2-3x+7[/tex]

Answer:

8x^2-3x+7

Step-by-step explanation:

By simplifying the expression.

The population of Oak Forest is increasing at a rate of 2% per year. If the population is 53,768 today, what will it be in three years?

Answers

Answer:

56,994

Step-by-step explanation: multiply the population by 0.02, round it to the nearest whole number, and then multiply that number by 3 and add it onto 53,768

Final answer:

The population of Oak Forest in three years will be approximately 57,091.

Explanation:

To find the population of Oak Forest in three years, we can use the formula for exponential growth. The formula is: P = P0 * (1 + r)t, where P is the final population, P0 is the initial population, r is the growth rate, and t is the number of years. In this case, P0 is 53,768, r is 0.02 (2% as a decimal), and t is 3. Plugging these values into the formula, we get:

P = 53,768 * (1 + 0.02)3

Simplifying the expression inside the parentheses:

P = 53,768 * (1.02)3

Calculating (1.02)3:

P = 53,768 * 1.0604

Calculating the final population:

P ≈ 57,091

Therefore, the population of Oak Forest in three years will be approximately 57,091.

Learn more about Population growth here:

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READ ATTACHED FILE qwq

Answers

Answer:

r = 2.5

Step-by-step explanation:

The equation given says y = r * x

So, the y value would be an unknown times the given x value.

To solve for r, all you have to do is divide.

25 ÷ 10 = 2.5

12.5 ÷ 5 = 2.5

10 ÷ 4 = 2.5

2.5 is the constant of proportionality.

Can I have a explaination of what the mathmatical term 'permutation' is.

15 points

Answers

Answer:

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting. These differ from combinations, which are selections of some members of a set where order is disregarded.

Step-by-step explanation:

Please help I will give BRAINLIEST

Answers

Pages Minutes

15 1

45 3

75 5

300 20

600 40

15 x 2= 39

45x 2= 90

75x2=150

30x20=60

600 x 2 = 1,200




What is the function graphed below?


graph in attachment




y = |x| + 1

y = |x| - 1

y = |x + 1|

y = |x - 1|

Answers

Answer:  Third option

[tex]y = |x + 1|[/tex]

Step-by-step explanation:

The main function

[tex]f (x) = | x |[/tex]

has its vertex in the point (0, 0)

The function shown in the graph has its vertex in the point (-1, 0)

The transformation made to f (x) that moves its vertex one unit to the left is:

[tex]y = f (x + 1)[/tex]

After this transformation the new function is:

[tex]f (x) = | x + 1 |[/tex]   Note that this function corresponds to the function plotted in the image.

Therefore the answer is the third option


Rewrite 4x = y +6 in slope-intercept form.

Answers

Answer:

y = 4x - 6.

Step-by-step explanation:

Slope-intercept form is y = mx + c where m = the slope and c = the y-intercept.

4x = y +6

Subtract 6  from both sides:

4x - 6 = y

we would write it as y = 4x - 6.

Answer:

Slope intercept form

y = 4x - 6

Step-by-step explanation:

Slope intercept form y = mx + b

In this case 4x = y +6

Re-write

y + 6 = 4x

Subtract 6 from both sides

y = 4x - 6  <-------Slope intercept form

4n − 3 = −2 n + 9n = 2 Is 2 the solution? yes or no, how do you know?

Answers

[tex]

4n-3=-2n+9n \\

6n-3=9n \\

3n=-3 \\

n=\boxed{-1}

[/tex]

2 is not a solution but -1.

ANSWER

No, n=2 is not a solution.

EXPLANATION

The given equation is

[tex]4n - 3 = - 2n + 9n[/tex]

If n=2 is a solution, then it must satisfy this equation.

We substitite n=2 into the equation to get:

[tex]4(2)- 3 = - 2(2)+ 9(2)[/tex]

[tex]8- 3 = - 4+ 18[/tex]

[tex]5 = 14[/tex]

This statement is false

Therefore n=2 us not a solution.

a circle with center (4 -3) contain the point (9,-3). what is an equation of the circle

Answers

Answer:

[tex]\large\boxed{(x-4)^2+(y+3)^2=25}[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (4, -3) and the point on the circle (9, -3).

The length of radius is equal to the distance between a center and an any point on a circle.

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Susbtitute:

[tex]r=\sqrt{(9-4)^2+(-3-(-3))^2}=\sqrt{5^2+0^2}=\sqrt{5^2}=5[/tex]

The center (4, -3) → h = 4, k = -3.

Finally we have:

[tex](x-4)^2+(y-(-3))^2=5^2\\\\(x-4)^2+(y+3)^2=25[/tex]

if the long tail is to the right, the distribution of the data is said to be:
A. a symmetric distribution
B. a negatively skewed distribution
C. a positively skewed distribution
D. none of the choices are correct

Answers

Answer:

Negatively skewed.

Step-by-step explanation:

In a negatively skewed distribution, the mode is greater then the median, and the median is greater then the mean. Overall, the majority of the data is to the right, which means that the distribution of data is skewed to the left, or negatively skewed.

Answer: Hence, Option 'C' is correct.

Step-by-step explanation:

As we know that if one tail is longer than the other, the distribution is said to be skewed.

And there are two types of skewed  distribution :

1) Negatively skewed

2) Positively skewed

It depends on the direction of the long tail.

If the long tail is to the right , then it is said to be positively skewed distribution.

If the long tail is to the left , then it is said to be negatively skewed distribution.

According to question, the distribution  here is a positively skewed distribution.

Hence, Option 'C' is correct.

I don't get how to do this ration help me I need this finished
answer part A and B

Answers

For part two using what we already know can you figure out the length of the segment?

answer D) 24

John ran the​ 100-m dash with a time of 9.87sec. If this pace could be maintained for an entire 26-mi marathon, what would his time​ be? (Notice that 1 m ≈ 3.281 ft and 1 mi = 5280 ft.)

Hr____

Minutes____

Seconds____



Answers

Answer:

1 hour

8 min

49 sec

Step-by-step explanation:

we know that

1 m=3.281 ft

1 mi=5,280 ft

Convert 26 mi to ft

26 mi=26*5,280=137,280 ft

Convert 137,280 ft to m

137,280 ft=137,280/3.281=41,840.90 m

using proportion

9.87/100=x/41,840.90

x=41,840.90*(9.87)/100

x=4,129.70 sec

Remember that

1 hour=3,600 sec

1 hour=60 min

1 min=60 sec

4,129.70 sec=4,129.70/3,600= 1.147 h

0.147*60=8.82 min

0.82*60=49 sec

therefore

1 hour

8 min

49 sec

John could maintain his 100-m dash pace for an entire 26-mi marathon, his time would be 1 hour, 8 minutes, and approximately 50 seconds.

First, we need to convert John's 100-meter dash time into a pace that can be extrapolated over the marathon distance. Given that John ran a 100-m dash in 9.87 seconds, we need to find out how many meters he runs per second. This would be 100 m / 9.87 s = 10.13 meters per second.

Next, we convert the marathon distance from miles to meters. As there are 5280 feet in a mile and 3.281 feet in a meter, there are 5280 / 3.281 = 1609.34 meters in a mile. The marathon distance is therefore 26 miles * 1609.34 meters/mile = 41842.84 meters.

Using John's pace, we can calculate the time it would take to run the marathon: 41842.84 meters / (10.13 meters/second) = 4129.64 seconds.

Finally, we convert the total seconds to hours, minutes, and seconds. There are 3600 seconds in an hour and 60 seconds in a minute:

Hours: 4129.64 sec / 3600 sec/hr = 1.147 hours (1 hour)Minutes: (4129.64 sec - 1 hour × 3600 sec) / 60 sec/min = 8.827 minutes (8 minutes)Seconds: 4129.64 sec - 1 hour × 3600 sec - 8 minutes × 60 sec = 49.64 seconds (approximately 50 seconds)

Therefore, if John could maintain his 100-m dash pace for an entire 26-mi marathon, his time would be 1 hour, 8 minutes, and approximately 50 seconds.


[tex] {7}^{2} - 3 + 9 \times 8 \div 2 \\ w = [/tex]

Answers

Answer:

82

Step-by-step explanation:

49 - 3 + 72/2

= 46 + 36

= 82

For this case we must find the value of the following expression:

[tex]7 ^ 2[/tex]-3 + 9 * 8÷2 =

According to the PEMDAS algebraic order of operations:

P: Perform any calculation within parentheses

E: Simplify any exponential expressions.

MD: Do all the multiplications and divisions, from left to right, as they appear.

AS: Do all the addition and subtraction, from left to right, as they appear.

So:

49-3 + 9 * 8÷2 =

49-3 + 72÷2 =

49-3 + 36 =

46 + 36 =

82

ANswer:

82

PLEASE HELP ASAP!!! I NEED THIS TOMORROW!!! You have to look for division problems, I have already found 19, and I need 20. PLEASE FIND THE LAST ONE!!!!!

Answers

Answer:

3rd last row, 4th from the left (132) diagonally left upwards. 132, 11, 12

Step-by-step explanation:

132 ÷ 11 =12

Specify the domain for the function !!! Math problem. 10 points - Help needed !

Answers

ANSWER

[tex]( - \infty , + \infty )[/tex]

EXPLANATION

The given function is

[tex]f(x) = 2 {x}^{4} + 4 {x}^{3} + 2{x}^{2} [/tex]

This is a polynomial function.

The domain refers to all real values for which the function is defined.

Polynomial functions are defined everywhere.

The domain is all real numbers.

Or

[tex]( - \infty , + \infty )[/tex]

Please help I will mark BRAINLIEST

Answers

Answer:

55

Step-by-step explanation:

20×22=440 8 ' 55

Two lines intersecting at a right angle

form a line.
are parallel.
are perpendicular.
form a ray.

Answers

Answer: THIRD OPTION

Step-by-step explanation:

We need to remember that a right angle is an angle that measures 90 degrees.

By definition, when two or more lines intersect (or cross one another ) at a 90-degree angle, then these lines are called "Perpendicular".

Therefore, in this case, we know that these two lines intersects at a right angle (angle of 90 degrees), then, we can conclude that these lines are Perpendicular.

This matches with the third option.

Answer:

Perpendicular lines

Step-by-step explanation:

Two or more lines are called intersecting lines.That point would be on each of these lines.

98 points if you solve for me

Given: m∠ABC = m∠CBD


Prove: BC bisects ∠ABD.


Justify the steps in the flowchart proof

a.

1)definition of congruent

2)definition of bisect

3)given

4)reflexive property

b.

1)definition of congruent

2)definition of bisect

3)given

4)reflexive property


c.

1)definition of congruent

2)definition of bisect

3)given

4)reflexive property

Answers

Answer: A) given

B) definition of congruent

C) definition of bisect

Step-by-step explanation:

This one is so hard what I supposed to do with on number???

Answers

It's actually very simple. Semicircle is a half of a circle. So the area and perimeter is also divided by 2. Also the radius is a half of diameter so 130.

[tex]Area=\frac{\pi130^2}{2}\approx\frac{53092.92}{2}=\boxed{26546.46ft^2}[/tex]

Hope this helps.

r3t40

Can some one explain to me what substitution is and how to use it to solve equations?

Answers

Answer:

Step-by-step explanation:

Say that your equation is 2x+4=8, x=2

you would plug in the 2 where your x is so, 2(2) +4=8

then you'd solve regularly.

Hope my answer has helped you!


Use The function f(x) is graphed below.
the graph of the function to find, f(6).

-2
-1
1
2

Answers

Answer:

f(6) = 2

Step-by-step explanation:

Since y is a function of x, that is y = f(x), f(6) implies that we shall be evaluating the value of y when the value of x is 6.

To do this we shall draw a vertical line, x = 6 and check where this line intersects with the graph of the function f(x)

The vertical line x = 6 intersects with the graph of the function f(x) on the horizontal line y = 2. The function f(x) assumes the value 2 for values of x between 4 and 8. Therefore,  f(6) = 2

Answer: Last option.

Step-by-step explanation:

We know that input values of a function are the values of the variable "x" and output values of a function are the values of the variable "y".

By definition, in functions each input value have one and only one output value.

Then, find [tex]f(6)[/tex] you can see that the input value is [tex]x=6[/tex] and you need to find the corresponding ouput value (or "y")

You can observe in the figure attached that the value of "y" for  [tex]x=6[/tex] is  [tex]y=w[/tex], obtaining the point (6,2)

Therefore:

[tex]f(6)=2[/tex]

This matches with the last option.

The midpoint of the line segment with end points (-3,1) and (1,-4) is (-1,-1.5)

Yes or no?

Answers

Answer:

Answer: yes.

Step-by-step explanation:

x: (x1 + x2)/2 = (-3 + 1)/2 = -2/2 = - 1 So far so good.

y: (y1 + y2)/2 = (1 - 4 )/2 = (-3/2) = -1.5

The midpoint is (-1 , - 1.5)

True

HELP PLEASE DEADLINE

Answers

Reason 1: Given.

Reason 2: Vertical angles

Reason 3: Angle, Side, Angle(ASA)

20 POINTS

Which property or postulate justified the statement below?

"If WX=YZ, then WX+RS=YZ+RS"

A. Transitive Property of Equality
B. Addition Property of Equality
C. Segment Addition Postulate
D. Substitution Property of Equality

Answers

Answer:

A because they are opposites.

Step-by-step explanation:

They equal the same they are just swapped the 2 set of numbers are the same but the first set of numbers are different when you add them they become the same number in the end :) hope this helps

B. Addition Property of Equality justified the statement,

"If WX=YZ, then WX+RS=YZ+RS".

What are the properties of equality?

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation WX = YZ, Now, In this expression WX + RS = YZ + RS

We have added RS to both side of the equation to maintain the equality sign.

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Please help!
What is the vertex of the parabola?


y+1=−14(x−2)2

Answers

[tex]\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y+1=-14(x-2)^2\implies -\cfrac{1}{14}[y-(\stackrel{k}{-1})]=[x-\stackrel{h}{2}]^2~\hfill \stackrel{center}{(-2~,~-1)}[/tex]

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