On a place-value chart, you use exactly 12 counters to represent one decimal number and exactly 15 counters to represent another decimal number.

When you add the two numbers, you get a number you can represent with only 9 counters.

When you subtract the two numbers, you need more than 9 counters for the result.

• What could your numbers be For adding it be


• Explain how you came up with your numbers and why they work.

Answers

Answer 1

The possible number represented by the 9 counter is 27

How to determine the possible number?

The counters are given as:

12 counters and 15 counters

When added, we get a number that can be represented by 9 counters.

This means that:

12 + 15 = 9x

Evaluate the sum

27 = 9x

Divide by 9

x = 3

When subtracted, you need more than 9 counters.

This means that:

x = 15 - 12 = 3

So, we conclude that the number is a multiple of 3 and 9

In other words, the decimal number is a multiple of 9 (i.e. 27)

Hence, the possible number is 27

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Related Questions

Which of the following pairs of triangles can be proven congruent through HL?

Answers

The pairs of triangles can be proven congruent through HL is option A.

what is the unit price for 4 greeting cards for $10

Answers

Answer:

$2.5/card

Explanation:

Unit price is the price for buying one item.

Here given:

total greeting cards: 4total cost: $10

Unit price :-

total cost ÷ total units10 ÷ 4$2.5 per card

A​ girls' softball team is raising money for uniforms and travel expenses. They are selling flats of bedding plants for ​$12.00 and hanging baskets for ​$27.00. They hope to sell three times as many flats of bedding plants as hanging baskets. If they​ do, their total revenue will be ​$6300. How many flats of bedding plants do they hope to​ sell?

Answers

300.
Steps:
27x100 = 2700
12x300=3600
3600+2700=6300

x-1/x-1=1 what is x


HELP PLS

Answers

Answer:

x € R

Step-by-step explanation:

In mathematics, every expression

divided by itself is equal to one

For this expression For every value that will be replaced by x will be equal to one

Please help! Algebra 2

Answers

[tex]y = \sqrt[3]{x - 8} [/tex]

When translating the function in the positive x direction, we have to subtract the value from x

Lisa is on a trip of 1,579 miles. She has already traveled 220 miles. She has 3 days left in her trip. How many miles does she need to travel each day to complete the trip?
A. 673
B. 906
C. 1,359
D. 453

Answers

Answer: D. 453

 

Step-by-step explanation:

   First, we will find out how many miles she has left.

-> We will subtract miles travled from total trip.

1,579 miles - 220 miles = 1,359 miles

   Now, we will find the answer to your question.

-> If she has three days left in her trip, we will divide the rest of the miles to travel by 3.

1,359 miles / 3 days = 453 miles

     The answer to your question is;

D. 453

Can someone pls help me

Answers

The complete statement is 67000 pounds is equivalent to 33.5 tons

How to convert the units?

The unit is given as:

Weight = 67000 pounds

As a general rule;

1 pound = 0.0005 tons

Multiply both sides by 67000

67000 * 1 pound = 67000 *  0.0005 tons

Evaluate

67000 pounds = 33.5 tons

Hence, 67000 pounds is equivalent to 33.5 tons

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G
Which represents the solution(s) of the graphed system of equations, y = -x² + x + 2 and y = -x + 3
5
4
3
2
←+
-5-4-3-2-1,
2 3 4 5
O (1, 2)
Next
Mark this and return
-2+
8 + 9
(1 21 and 10 21
X
Save and Exit

Answers

Answer: (1, 2)

Step-by-step explanation:

y = -x² + x + 2

y = -x + 3

1. Set the two equations equal to each other:

-x² + x + 2 = -x + 3

2. move one of the equations to the other side:

-x² + 2x - 1

3. Factor out a -1:

-1 (-x² + 2x - 1) = 0

x² - 2x + 1

4. Factor:

(x - 1)(x - 1)

x = 1

5. Plug in 1 to one of the equations:

y = -x + 3

y = -(1) + 3

y = 2

6. Write as coordinates:

(1, 2)

Given g of x equals cube root of the quantity x plus 6, on what interval is the function negative?

Answers

The interval for the function to be negative will be (-∞<x<-7).

What is a function?

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here we have a function:-

g(x) = ∛(x+6)

If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-

(-∞<x<-7).

Therefore interval for the function to be negative will be (-∞<x<-7).

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Answer:

(–∞, –6)

Step-by-step explanation:

I got it right on exam.

Use linear regression to find a function that fits the following points. (-2,-1), (3,9).​

Answers

Step-by-step explanation:

[tex] \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} [/tex]

[tex] \frac{y - ( - 1)}{9 - ( - 1)} = \frac{x - ( - 2)}{3 - ( - 2)} [/tex]

[tex] \frac{y + 1}{ \cancel{10}} = \frac{x + 2}{ \cancel{5} }[/tex]

[tex] \frac{y + 1}{2} = \frac{x + 2}{1} [/tex]

[tex]1.(y + 1) = 2.(x + 2)[/tex]

[tex]y + 1 = 2x + 4[/tex]

[tex]y = 2x + 4 - 1[/tex]

[tex]y = 2x + 3[/tex]

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

180° about vertex R what are the coordinates

Answers

The coordinate s (-4, 1) is lying on the 180 degrees of the vertex R.

What is a coordinate system?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

There are four coordinates are given

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

Point S is just lying about 180 degree to the vertex R so the coordinates will be S ( -4,1)

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Write the equation of the function that
can be modeled by this table?

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

y = mx + b (slope-intercept form)

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

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

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )  (point-slope form of linear equation)

~~~~~~~~~~~~~~~


Evaluate 2x-5x+ 12
when x = -2

Answers

Answer:

2(-2)-5(-2)+12

-4-(-10)+12

6+12

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

2(-2)-5(-2)+12

-4+10+12

=18

Hope this helps! ;-)

What is the area of the shaded region?

Write your answer as a whole number or a decimal rounded to the nearest hundredth.

Wednesday, May 25th*

Answers

Answer is 63

Area is calculated 1/2BH
Large triangle = 1/2 (12) (15) = 90
Small triangle = 1/2 (6) (9) = 27
Subtract small triangle (unshaded) from the large triangle to find shaded area.
90-27= 63
See picture for details

Why does it coats $18 per hour ?

Answers

Would you pay $1,200 for a winter coat? Moncler, the luxury clothing company, is wagering that enough people will keep them in business, and it appears that they are correct. During the holiday shopping season, there were lineups and a bouncer outside the company's New York City store, according to Bloomberg's Olivia Sterns, with consumers unfazed by price tags far over $1,000 for Moncler's basic, iconic jacket. In 2012, the firm sold more than €489 million ($668 million) in product worldwide. Americans contributed €48.7 million ($66.5 million) to the total. According to a 2010 Reuter's article, outerwear like that $1,200 jacket accounts for 97 percent of the company's revenue.

PLEASE HELP 25 POINTS!!!

Answers

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify following

a1 = 2r = 1/2

Solve:

[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =4[/tex]

The sum of this infinity series is 4

To identify the density of a figurine made using an unknown material, the figurine is dropped into a basin filled with water and found to displace 184.8 mL of water. The figurine is then put on a scale and found to be 3.8 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3

Answers

Step-by-step explanation:

here you go hopw it helps you

A user manual with 500 pages has 4 pages without diagrams.

What percent of the pages do not have diagrams?


0.25%

0.49%

0.8%

1.25%

Answers

0.8%

first we divide 4÷500×100

the we get 0.8%

Answer:

This is so easy it's 0.8%

Step-by-step explanation:

I barely pay attention in class but this is easy work

hope it helps anyways!

p.s i am in k12 sooo ^_^

Wyatt is paying back a loan with a nominal interest rate of 13.62%. If the interest is compounded quarterly, how much greater is Wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points

Answers

Answer:

d.  0.71 percentage points

Step-by-step explanation:

13.62 % is .1362 in decimal

  quarterly period compounding makes periodic (quarterly) interes rate

         = .1362/4 = .03405 per period

  FOUR periods in a year

    (1+ .03405)^4 = 1.1433  

            which means effective interest is .1433  or 14.33 %

14.33 - 13.62 = .7115 percentage points difference

Petra is making bread. She puts 4 1/2
cups of flour in a bowl. Her sister Leslie is watching and tells Petra that she needs to remove 3/4
cup of flour, which Petra does.

The amount of flour left in the bowl is(blank) Response area cups.
A:2 1/8
B: 2 1/4
C:3 1/4
D:3 3/4

Answers

Answer:

B

is the write I think ......!

Question 1-3
Find the average rate of change of the function, f (x) = log₂ (4x) on the interval of x = 2 to x = 8.

Answers

Answer:

  1/3

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...

  rate of change = (f(b) -f(a))/(b -a)

__

For the given function and interval, this is ...

  (log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3

The average rate of change is 1/3.

_____

In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.

help please What is the simplest form of the expression representing this product?
x+10/x2+7x-18 * 3x2-12x+12/3x+30

Answers

Answer:

x-2

x+9

Step-by-step explanation:

Answer:

[tex]\frac{x-2}{x+9}[/tex]

Step-by-step explanation:

Factorizing Fraction 1

[tex]\frac{x+10}{x^{2}+7x-18 }[/tex][tex]\frac{x+10}{(x+9)(x-2)}[/tex]

Factorizing Fraction 2

[tex]\frac{3x^{2} -12x+12}{3x+30}[/tex][tex]\frac{x^{2} -4x+4}{x+10}[/tex][tex]\frac{(x-2)^{2} }{x+10}[/tex]

Now, multiply the fractions :

[tex]\frac{x+10}{(x+9)(x-2)}[/tex] × [tex]\frac{(x-2)^{2} }{x+10}[/tex][tex]\frac{x-2}{x+9}[/tex]

Kiran walks to school each morning. The values below represent the time, in minutes, it took Kiran to walk to school on five different days.

16, 11, 18, 12, 13

Without calculating, decide if 15 minutes is a good estimate for the mean. Explain why or why not.

Answers

15 minutes is good estimate for mean because on 3 days he/she reached schools earlier than 15 minutes.

Edna raises money for charity and donates $123 per week. How much does Edna donate to charity each year? Note: There are
52 weeks in a year.
A. $6,426
B. $6,406
C. $6,396
D. $6,356

Answers

It’s C because 123x52= 6396 which is every week in a year

PLEASE HELP WILL MARK BRSINLIEST!!!!!pleaseeee

Answers

Your answer will be 3x^2-7x.

Answer:

[tex]x(3x-7)=3x^2-7x[/tex]

Step-by-step explanation:

[tex]\Large \begin{array}{| c | c | c |}\cline{1-3} \textsf{x} & 3x & -7\\\cline{1-3} x & 3x^2 & -7x\\\cline{1-3}\end{array}[/tex]

[tex]\textsf{Therefore,}\quad x(3x-7)=3x^2-7x[/tex]

Please solve with explanation

Answers

Answer: h₁ = ~2790.9943 meters tall

Step-by-step explanation:

[tex]h_1 = h_2 + h_3[/tex]

h₂

[tex]sin(a) = \frac{h_2}{h}[/tex][tex]sin(47^{o}) = \frac{h_2}{2200}[/tex][tex]2200sin(47^{o}) = h_2[/tex][tex]~1608.9781 = h_2[/tex]

h₃

[tex]sin(a) = \frac{h_3}{h}[/tex][tex]sin(52^{o}) = \frac{h_3}{1500}[/tex][tex]1500sin(52^{o}) = h_3[/tex][tex]~1182.0161 = h_3[/tex]

h₁

[tex]h_1 = h_2 + h_3[/tex][tex]h_1 = 1608.9781 + 1182.0161[/tex][tex]h_1 = 2790.9943[/tex]

What is the Area and Perimeter??? PLEASE HELP

Answers

Answer:for area you times them and for perimiter you add

Step-by-step explanation:

hope you understand

Simplify: [tex]\sqrt{34}[/tex]
if it cant, just solve.

Answers

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

We can make an explanation of a quick way, or the long way.

Quick way :-

⇢ [tex]\sf{\sqrt{34}[/tex]

⇢ [tex]\sf{Refine \: to \: a \: decimal \: form:}[/tex]

⇢ [tex]\sf{= \: 5.83095}[/tex]

Long way :-

Which this one I am talking about of the Square root of an fraction or a prime factorization.

⇢ [tex]\sf{Find \: the \: prime \: factors \: of \: 34.}[/tex]

⇢ [tex]\sf{The \: prime \: factors \: of \: 34 \: are \: 2 \: and \: 17.}[/tex]

⇢ [tex]\sf{34 \: = \: 2 \: ^. \: 17}[/tex]

Hope It Helps! ~

~ Learn With Sxnnysoul ~

[tex]\underline{Answer :}[/tex]

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

The answer is just √34

However if you’re looking for the decimal form it’s 5.83095189

in a hostel of 400 students, it was discovered that 70% like to drink tea and 60% like to drink coffee . if 10% students didn't like to drink tea or coffee , represent the information in a venn-diagram and find the number of students who like 1)coffee only,tea, bothtea and coffee ,neither tea nor coffee​

Answers

Of the 400 students, 120 students like to drink coffee, 80 students like to drink tea, 160 students like both and 40 students do not like any of these drinks.

How many students like to drink coffee, tea, or none?

Cofee: 70% of 400 = 280 students

Tea: 60% of 400 = 240 students

None: 10% of 400= 40 students

This means that 360 students like coffee, tea or both.

How many students like both drinks?

280 + 240 (students who drink either coffe or tea)= 520 - 360 (real number of students who like coffee or tea) = 160 (students who like both coffee and tea.

Moreover, it can be inferred 80 students like tea and 120 studetns like coffee.

How to represented it in a Venn diagram?Set A: Students who like coffee 120 students.Set B: Students who like tea 80 students.Set A^B: Students who ike both drinks 160 students

Outside the sets 40 students who do not like any of the drinks.

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The volume of a right cone is 168π units^3. If its diameter measures 12 units, find its height

Answers

Answer:

14 units

Step-by-step explanation:

In the question, it is given that a right cone has a diameter of 12 units and volume of 168π units³ and we have to find the height of the cone.

[tex] \: [/tex]

To Find the height of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi r^2h ={ Volume_{(cone) }}}}}}}}} \\ \\[/tex]

Where,

r refers to the radius of the cone. Here, the diameter is 12, Therefore the radius will be 6 units.

h refers to the height of the cone.

Now, we will substitute the values in the formula :

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times (6)^2 \times h = 168 \pi}}}}}}} \\ \\[/tex]

Cancelling π from both sides we get :

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times 36 \times h = 168 \cancel\pi}}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \ \times 36 \times h = 168 }}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{36}{3} \times h = 168 }}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { 12 \times h = 168 }}}}}}} \\ \\[/tex]

[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { h = \frac{168}{12} }}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h ={14 }}}}}}}} \\ \\[/tex]

Therefore,

The height of the cone is 14 units .
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