The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.

Answers

Answer 1
The U.S. Mint makes commercial circulation coins including commemorative collector's coins including investor bullion coins.In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.

[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]

heaviest[tex]\bold{=5.69\ g\\\\}[/tex]

lightest[tex]\bold{=5.65\ g\\\\}[/tex]

Evaluating each expression:  

[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]

Learn more:

brainly.com/question/20845315


Related Questions

What number is square and a cube.
E.g.
2²=4
3³=9
What number has a cube root AND a square root??

Answers

Answer:

2²=4 is square root and 3³=9 is cube root

Step-by-step explanation:

because 3×3×3=3³and 2×2=2²

64:
4x4x4 = 64
8x8 = 64

8y-2d=0 5y+4d=26 1/4

Answers

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d =  105/4  ------------------(II)

(I)*2      16y  - 4d = 0

(II)          5y + 4d = 105/4      {add (I) &(II)}

             21y        = 105/4

[tex]y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1[/tex]

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

   -2d = -8

      d = -8/-2

d = 4

Answer:

  (y, d) = (1.25, 5)

Step-by-step explanation:

We can add twice the first equation to the second.

  2(8y -2d) +(5y +4d) = 2(0) +26 1/4

  21y = 26 1/4

  y = (105/4)/21 = 105/84 = 5/4

  8(5/4) -2d = 0

  5 = d . . . . . . . . . . add 2d, divide by 2

The solution to this system of equations is ...

  y = 5/4, d = 5

factorise 12x²+15xy. ​

Answers

Answer:

3x(4x+5y)

Step-by-step explanation:

to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x

12x²+15xy

3x(4x+5y)

I hope this helps

HELP, round to the nearest penny.
$11,579.9998

Answers

Answer:

11,580.00

Step-by-step explanation:

So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00

Hope this helps!!! Have a good rest of your day! :)

URGENT ! HELP ME I WILL MARK YOU BRAINLIEST !!!!

pleasee fasterrr !!!!​

Answers

Answer:

3b (3a - 4b)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

9ab - 12b² ← factor out 3b from each term

= 3b(3a - 4b) → C

please please help thank you so much

Answers

Answer:

Nope

Step-by-step explanation:

y = 6x - 2

(1, 2)

2 = 6(1) - 2

2 = 6 - 2

2 = 4

(1, 2) isn’t on the line

How would you define a pair of parallel lines?

Answers

Answer:

We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.

 

Hope this helps <3

What is 30% of R210 and show your working out.​

Answers

[tex]\\ \qquad\quad\sf\longmapsto 30\%\:of\:210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{30}{100}\times 210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{6300}{100}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 63[/tex]

Step-by-step explanation:

[tex]★→30\% \: of \: 210 \\=>\frac{30}{100} \times 210 \\ =>\frac{6300}{100} \\ => \boxed{63}✓[/tex]

30% of 210 is 63.

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

Answers

Answer:

I have to agree

it's A.

but I'm also thinking it's D.

Use index notation to write 248 as a product of its factor

Answers

Answer:

2^3 x 31

Step-by-step explanation:

31 is a prime number

Geometry, please answer question ASAP

Answers

Answer:

B.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

From the 1 and 2, we see that the hypotenuse must be twice the length of the short leg.

From the 1 and sqrt(3) we see that the long leg is sqrt(3) times the length of the short leg.

Now we check for these two ratios in each choice.

A.

1 is twice 1/2. Check

sqrt(3)/2 is sqrt(3) times 2. Check

B.

10 is twice 5, not twice 5/2. This does not check.

C.

2sqrt(2) is twice sqrt(2). Check

sqrt(6) is 2sqrt(2) time sqrt(3). Check

D.

6 is twice 3. Check

3sqrt(3) is sqrt(3) times 3. Check

Answer: B.

Answer:

B

Step-by-step explanation:

Angle ratio = 30 : 60 : 90

Side ratio = x : x√3 : 2x

[tex]A) x = \frac{1}{2}\\\\ \ x\sqrt{3 } = \frac{1}{2}*\sqrt{3}=\frac{\sqrt{3}}{2} \\\\2x = 2*\frac{1}{2}=1[/tex]

True

[tex]C) x = \sqrt{2} \\\\x\sqrt{3}=\sqrt{2} *\sqrt{3} =\sqrt{2*3}=\sqrt{6}\\\\2x=2\sqrt{2} \\[/tex]

True

[tex]D) \ x = 3\\\\x\sqrt{3}=3\sqrt{3}\\\\2x = 2*3 = 6[/tex]

True

(b) In a sale the original prices are reduced by 15%.
(i) Calculate the sale price of a book that has an original price of $12.
$
(ii)
Calculate the original price of a jacket that has a sale price of $38.25.

Answers

Answer:

(i): $10.20

(ii): $32:51

Step-by-step explanation:

(i) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $1.80

3. subtract the discount, $1.80, from the original price, $12: $10.20

(ii) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $5.74

3. subtract the discount, $5.74, from the original price, $38.25: $32.51

(i) The sale price of the book of original price $12 is $10.20.

(ii) The original price of the jacket is $38.25.

What is the percentage?

The percentage is a calculation method for every 100.

How to calculate the sale price?

The original price of a book is $12.

In a sale the original prices are reduced by 15%.

∴ Price reduced = $(12*15%)

=$ 1.80

Hence, the sale price is = $(12-1.80)

=$10.20

What is discounted price?

The discounted price is the price a buyer pays after getting a discount of marked price.

How to calculate original price?

Here, the sale reduces price by 15%

The discounted price is equivalent to = (100-15)%

=85%

By the condition ,

85% = $38.25

∴100%= $(38.25/85*100)

=$ 45

Learn more about sale and discounted price here :

https://brainly.com/question/1385340

#SPJ2

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which phrase matches the expression 2v?
A. v divided by 2
B. twice v
C. 2 decreased by v
D. 2 more than v

Answers

Answer:

B) twice v

Step-by-step explanation:

because if there is no any sign between a number and a variable then you know that there is sign of multiplication

What is the decay factor of an exponential function that represents a 64% decrease?

Answers

Answer:

.36

Step-by-step explanation:

To find the decay factor

y = a(1-b)^x

b = 1-rate of decrease

   = 1-64%

   = 1-.64

   = .36

PLEASE HELP ME ANSWER THIS QUESTION ​

Answers

Answer:

x = 0

y = -2

Step-by-step explanation:

2304.06 is written in expanded form

4 is unit place. So, 4 *10⁰ = 4 * 1 = 1    {Any integer to the power of 0 is 1}

x = 0

6 is hundredth place = 6 * 1/100 = 6*10⁻²

y= -2

16. please help word problem math!!!

Answers

3x+4 because three times the age and in 4 years

Answer:

ok what the question please

Phoebe took a survey of her classmates' favorite sport. The results are in the table below:

What is the relative frequency of survey members who prefer tennis?

Answers

The choose ( 0.25 )

Relative Frequency = Category Frequency / Total Frequencies

Category Frequency (prefer tennis) = 7

Total Frequencies = 28

Relative Frequency = 7 / 28

Relative Frequency = 0.25

I hope I helped you^_^

The relative relative frequency of survey members who prefer tennis is found to be 0.25.

Relative FrequencyWhat is relative frequency?

The ratio of the total number of events that occur in a experiment to the number of times an event occurs is known as relative frequency.

Formula of relative frequency:

Relative Frequency = Subgroup frequency/ Total frequency.

Calculation for relative frequency of tennis:

Total frequency for the sports is 28.

The frequency for tennis is 7.

The relative frequency of survey members who prefer tennis =

total frequency for tennis/total frequency for all sports

Relative frequency = 7/28

                               = 0.25

Therefore, the relative frequency for the members who preferred playing tennis is 0.25

To know about frequency distribution, here

https://brainly.com/question/1094036

#SPJ2

For every 5 books her students read, Mrs. Fenway gives them 4 homework passes. Juan has earned 12 homework passes. What proportion shows how many books Juan has read?

4/12 = x/5
4/5 = x/12
4/5 = 12/x
5/12 = 4/x

Answers

Okay which class.are you first thing is that .. ok tell me then fast.

Is 512 is not a perfect square​

Answers

Answer:

A perfect square is a number that can be expressed as the product of two equal integers.

The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.

Try these steps first:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.

Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.

All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Let's try it...

Step 1:

What is the last number of 512? It is this number: 512. The answer is 2. Is 2 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: YES, 2 is in the list of numbers that are never perfect squares. The number 512 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.

What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11​

Answers

Answer:

mateweew ans is 12

The mode is the value that appears most frequently in a data set.

and 12 repeats twice other once so anw is obv 12

Answer: 12

Step-by-step explanation:

Write an expression for the sequence of operations described below.
add s and q, then add the result to the sum of r and t
Do not simplify any part of the expression.

Answers

Answer:

(s+q)+(r+t)

Step-by-step explanation:

statement one s+t

statement two r+t

then add statement one to two to get

(s+t)+r+t

CAN ANYONE PLEASE EXPLAIN TO ME WHAT ON EARTH THIS MEANS

Answers

the work that you're required to do has to contain all three requirements in order to earn the maximum number of points, and it also has to be creative (meaning no copying other people's work)

What is the value of the expression below when w=2 and x=2
9w - x

Answers

Here, all we need to do is subtitute w = 2 and x = 2 into the expression, by multiplying and adding. First, we will muliply 9w:

9w

9 · w =

9 · 2 =

18

Now, all we have to do is use our answer for 9w, and subtract x from it:

9w - x

18 - (2) =

18 - 2 =

16

So, our answer is 16.

Let me know if you have any other questions! :)

Match the part of the circle to its correct name.

Answers

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

Once again, move points C, D, and E on the circle, and complete the table below. This time, you’ll consider what happens to the lengths of the sides of quadrilateral BCDE. Notice that m∠B is predetermined, so set that angle measure first.

Answers

Answer:

Also to help some of you out here’s the answer to question 6 !!

Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A

Step-by-step explanation:

n-9 = 13
------------------

Answers

Answer:

n-9=13

n=22

Step-by-step explanation:

Answer: n = 22

Step-by-step explanation: to get the answer you have to add 9 to the -9 so that it cancels out. then you are to add the 9 to the 13 and so the answer shall be n=22


HELLPP ASAP PLS, FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST


Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C' and the image of D as D'.

Answers

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

What does HP equal? (Geometry)

Answers

Answer:

HP=13

Step-by-step explanation:

because JM and KH are perpendicular and JM is the diameter, JM is the perpendicular bisector of KH so KP=HP

Convert 2 5/8 to a decimal

Answers

Answer:

2.625

Step-by-step explanation:

First convert mixed fraction to improper fraction,

=> 21/8

Then by normal division you will get,

=> 2.625

Amanda ordered a ham and salad roll for
$3.50, an apple muffin for $1.60 and an
orange juice for $1.10. How much change did
she receive from 10.00?

Answers

Answer:

2.80 cents

Step-by-step explanation:

$3.50

$1.60

$1.10

-------+

 7.20              10.00- 7.20 = 2.80

Answer: $3.8

Explanation:

Cost of Ham and Salad Roll = $3.50

Apple Muffin = $1.60

Orange Juice = $1.10

Total cost = $6.2

Total she received back = 10-6.2

= $3.8

Therefore she received back $3.8

Must click thanks and mark brainliest

Other Questions
Two lateral faces of a rectangular pyramid have a base length of 10 inches and a height of 15 inches. The other two lateral faces have a base length of 18 inches and a height of 13 inches. What is the surface area of the rectangular pyramid? 100 x 20 + 30 help me 6. Find an angle which is equal to its complement. PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?A. 1:6B. 1:1C. 1:3D. 1:5 A jet ski rental company charges h dollars for the first hour its jet skis are rented and kdollars per hour for each hour rented after the first. If a jet ski is rented for t total hours,where t is an integer greater than 2, which of the following represents the total rental costof the jet ski?h+t+kBh+ tkh+k(t-1)h+k(t + 1)h+ can radiowaves penetrate clouds Answer as soon as you can. a. 162 comes just after b. What comes just before 182. lies in between 99 and 101. c. Which headline most clearly contains bias?O A. Are Parents to Blame for Crime Wave?B. Police Apprehend Suspected ThiefO c. "I'm Innocent!" Says Treasury SecretaryD. City Council to Decide Budget Please help explanation if possible Which of these graphs represents the inequality x > 5? After rigorous testing, the Federal Drug Administration (FDA) must decide which of the four antibiotics to approve to fight a bacterial infection that results in high fevers and localized rashes. Which antibiotic do you predict that the FDA scientists will likely approve Number of daily visitors of a park in Dubai at the end of 2012 was 5000 This was predicted to increase at a rate of 6% each year.Calculate the predicted number of visitors at the end of 2OL4. Is 3.18 a real number Sugar is made up of clear, colorless crystals that dissolve easily in water, but the crystals and their solution do not conduct electricity. Which statement describes sugar? It is made up of atoms that are held together by metallic bonds. It is made up of atoms that are held together by covalent bonds. It is made up of atoms that are held together by weak ionic bonds. It is made up of atoms that are held together by strong ionic bonds. help please In Venezuela almost 30% of the population consumes cereal as their main food group. Around 20% consume meat, and they tend to eat less fruit.What drink do they prefer, based on what you learned from the lesson? TeaJuiceCoffeeWater The predominant consequence to an individual who is genetically deficient in liver fructose 1,6-bisphosphatase would beA. Inability to metabolize fructose.B. a lowered yield of ATP production per mole of glucose metabolized.C. a failure to split fructose bisphosphate into triose phosphates.D. a failure to resynthesize glucose from lactic acid. Explain how the villi are adapted to absorb glucose. PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!The number of rare coins a coin collector owns is considered ________ data.A. discreteB. continuousC. neither continuous nor discreteD. both continuous and discrete I don't mind having a dessert as long as it is Aimee has lived in several different cities, including Fort Worth, Texas, Atlanta, Georgia, Walnut Creek, California, and Des Moines, Iowa. A. Aimee has lived in several different cities, including Fort Worth, Texas Atlanta, Georgia Walnut Creek, California and Des Moines, Iowa. B. Aimee has lived in several different cities, including Fort Worth, Texas; Atlanta, Georgia; Walnut Creek, California; and Des Moines, Iowa. C. Aimee has lived in several different cities, including Fort Worth, Texas, Atlanta, Georgia, Walnut Creek, California, and Des Moines, Iowa. D. Aimee has lived in several different cities, including Fort Worth Texas Atlanta Georgia Walnut Creek California and Des Moines Iowa.