- The four-digit number 1210 has an interesting property.
The first digit, 1, counts how many zeros are in the number.
The second digit, 2, counts how many ones are in the number.
The third digit, 1, counts how many twos are in the number.
The fourth digit, 0, counts how many threes are in the number.
Another number with this property is 2020 (2 zeros, 2 twos, no ones or threes.) Now,
make a 7 digit number ABCDEFG so that its first digit, A, counts the number of zeros
in the number, the second digit, B, counts the number of ones, and so on down to G,
which counts the number of sixes in the number

Answers

Answer 1

Answer:

ABCDEFG = 3211000

Step-by-step explanation:

A counts the number of zeroes, and there are 3 zeroes (E, F, G), so A = 3.B counts the number of ones, and there are 2 ones (C, D), so B = 2.C counts the number of twos, and there is 1 two (B), so C = 1.D counts the number of threes, and there is 1 three (A), so D = 1.There is no four, five, six in, so E, F, G are all zeroes.


Related Questions

The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.


To the nearest cubic foot, what is the volume of the greenhouse?

Answers

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Find out more on volume at: https://brainly.com/question/12410983

Can anyone solve this correctly?

Answers

Answer:

  30 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the rectangle and the area of the triangle.

The area of the rectangle is ...

  A = LW = (12 cm)(4 cm) = 48 cm²

The area of the triangle is ...

  A = 1/2bh = 1/2(9 cm)(4 cm) = 18 cm²

__

The shaded area is the difference ...

  rectangle area - triangle area = 48 cm² -18 cm² = 30 cm²

The area of the shaded region is 30 square centimeters.

Answer:

ANSWER30cm²

Step-by-step explanation:

A(rectangle) - A(triangle)

L×W - ½×B×H

12×4 - ½×(9)×(4)

48 - 2×(9)

48 - 18

= 30cm²

50 POINTS 50 POINTS please help me with these 5 questions attached pictures

Answers

Step-by-step explanation:

the first graph

0=|x+2| f(0)=|0+2|

|x+2|=0 f(0)=|2|

x+2=0 f(0)=2

x=-2

Answer:

First graph X=-2

Rotate shape A 90° anti-clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?

Answers

Answer:

(-6, 1) (-6, 3) (-5, 3) (-5, 2) (-3 2) -3, 1

Step-by-step explanation:

By rotating 90 degrees x become y and y becomes negative x

Which of the following graphs has a zero at (-5)?

Answers

Graph B would be the correct answer

Please help !!! What’s the answer to this??

No links please ! And no replies if you don’t know the answer.

Answers

Answer:

Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:

2 x 3600 = 7,200 mph

No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.

Express the trig ratios as fractions in simplest terms.

Answers

Answer:

Step-by-step explanation:

SOH CAH TOA

cos K  = 36/48 = 3/4

SIN L = 36/48 = 3/4

The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The triangle JKL is right angled triangle.

In the triangle KL is the opposite side of angle J.

SinL = Opposite/Hypotenuse

CosK = Adjacent/Hypotenuse

Used here, this means ...

sin(L) = KL/JL = 36/60 =6/10=3/5

cos(K) = KJ/KL = 36/60 = 6/10=3/5

sin(L) and cos(K) are equal

Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

To learn more on trigonometry click:

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Do we, as a society, rely on technology too much?

Answers

no. the word technology spans every invention ever created. we don't.

Answer:

Yes, We as a society rely too much on technology because it is the new thing that everyone wants or needs. Technology can buy your groceries and food with a single click.

Step-by-step explanation:


Find the total surface area of the cube.
2.2 cm

Answers

Answer:

The formula for surface area of a rectangular prism or cube is:

SA = 2 (LW+LH+WH)

So, we do, 2 (2×2+2×2+2×2)

So, the answer is 2×12 or 24 cm²

What is the

Height?

Please, asap. If two people answer, I will give one of you a brainlest and ask I will ask another question afterward.

Answers

Answer:

the answer is the number 23

The top one is correct

Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Enter your answer in the grid.
WHAT IS Z?

Answers

Answer:

z = 50.2802734375

Step-by-step explanation:

y = 15.5

y is 512 times x

z is 50.25 more than x

15.5/512 = 0.0302734375

x = 0.0302734375

0.0302734375 + 50.25 = 50.2802734375

z = 50.2802734375

PLEASE HELP ASAP
Zeke has spent $3.75 on gel pens in the past, and now he plans to buy some new ones. The
new gel pens cost $1.25 each. If Zeke buys 6 new gel pens, how much will he have spent on
gel pens in total?

Answers

Answer:

11.25

Step-by-step explanation:

Base on the given we can conclude that:

3.75 + 6 × 1.25

Now solve the following:

3.75 + 6 × 1.25

3.75 + 7.50

=11.25

~lenvy~

Answer:11.25

Step-by-step explanation:


The rear window of Alex's van is shaped like a trapezoid with an upper base
measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches.
An 18-inch rear window wiper clears a 150° sector of a circle on the rear window, as
shown in the diagram below.
36 in.
21 in.
150 degrees
18 in.
48 in.
1. What is the area, in square inches, of the entire trapezoidal rear window?
Show or explain how you got your answer.

Answers

The area, in square inches, of the entire trapezoidal rear window is 882 square inches.

What is the area of the  entire trapezoidal rear window?

A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.

Area of a trapezoid =  0.5 x (sum of the lengths of the parallel sides) x height

Area of a trapezoid =  0.5 x (36 + 48) x 21 = 882

To learn more about trapezoids, please check: https://brainly.com/question/25748893

Six coins are tossed simultaneously what is the probability of getting exactly 4 heads

Answers

3/12 because there are 6 heads and tails in 6 coins

The probability of getting exactly 4 heads is 0.23.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Let p represents the probability of getting head in a toss of a fair coin, so

[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]

Let X denote the random variable representing the number of heads in 6 tosses of a coin.

The probability of getting r sixes in n tosses of a fair is given by,

Probability of getting 4 heads :

[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]

Hence, the probability of getting exactly 4 heads is 0.23.

To know more about probability click the link given below.

https://brainly.com/question/11234923

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What is the value of the expression shown?
3
(1)

Answers

(1/3)³ = 1³ / 3³ = 1/27

1/27

kgfgkjhgbkjyhgbjtg

Jameela spins the following spinner 36 times.

A spinner with 4 equal sections labeled 1 through 4.

How many times should she expect it to land on 3?

Enter your answer as a number, like this: 42

PLEASE HELP ME IM NOT GOOD AT MATH

Answers

Using the binomial distribution, it is found that she should expect it to land on 3 9 times.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem:

The spinner is equally as likely to land on any of the four sections, hence p = 1/4 = 0.25.There will be 36 trials, hence n = 36.

Then, the expected value is given by:

E(X) = np = 36 x 0.25 = 9.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

grade 6 math 1. Mr. Carlos bought a T-shirt for ₱ 254.95. Round this off to the nearest peso.

Answers

Answer:

255

Step-by-step explanation:

254.95

.95 is closest to 255.

254.95...255.

Describe the correlation you would expect with these data sets.
(i) The height of a person and the speed at which they can run.
(ii) The age of a second car and its value.
(iii) Time spend watching TV and exam score
(iv) Height and income
(v) Sale of the apartment and high cost​

Answers

Answer:

(i) no correlation as one variable is not dependent on the other.

(ii)  The age of a car does affects its value.  Therefore, the age will be the independent variable (x-axis) and the value will be the dependent variable (y-axis).  Unless the car is a classic, sought-after car, as the age increases, its value decreases, so this will be a negative correlation.

(iii)  The time spent watching TV may affect exam score (since the more time spent watching TV equals less available time to spend studying).  Therefore, the time spent watching TV will be the independent variable (x-axis) and the exam score will be the dependent variable (y-axis).  As time spent watching TV increases, the exam score could potentially decrease, so this will be a negative correlation.

(iv)  no correlation, since one variable is not dependent on the other.

(v)  The cost of an apartment may affect its sale, but there are many factors that can affect this such as location of the apartment and the buyers it appeals to.  The cost will be the independent variable (x-axis) and the sale will be the dependent variable (y-axis).  In usual circumstances, we would expect to see as the cost of an apartment increases, the sale may decrease, as less and less buyers can afford to buy it, so this will be a negative correlation.

find the sum, plss help thanks!​

Answers

Answers:

5.) [tex]\displaystyle \pm{8\sqrt{3}}[/tex]

4.) [tex]\displaystyle 3\sqrt[5]{3}[/tex]

3.) [tex]\displaystyle \pm{8\sqrt{5}}[/tex]

2.) [tex]\displaystyle 3\sqrt[3]{3}[/tex]

1.) [tex]\displaystyle \pm{3\sqrt{2}}[/tex]

Step-by-step explanations:

5.) [tex]\displaystyle \sqrt{27} + \sqrt{75} \hookrightarrow \pm{3\sqrt{3}} + \pm{5\sqrt{3}} \\ \\ \boxed{\pm{8\sqrt{3}}}[/tex]

4.) [tex]\displaystyle \sqrt[5]{3} + \sqrt[5]{96} \hookrightarrow \sqrt[5]{3} + 2\sqrt[5]{3} \\ \\ \boxed{3\sqrt[5]{3}}[/tex]

3.) [tex]\displaystyle \sqrt{45} + \sqrt{125} \hookrightarrow \pm{3\sqrt{5}} + \pm{5\sqrt{5}} \\ \\ \boxed{\pm{8\sqrt{5}}}[/tex]

2.) [tex]\displaystyle \sqrt[3]{3} + \sqrt[3]{24} \hookrightarrow \sqrt[3]{3} + 2\sqrt[3]{3} \\ \\ \boxed{3\sqrt[3]{3}}[/tex]

1.) [tex]\displaystyle \pm{\sqrt{2}} + \sqrt{8} \hookrightarrow \pm{\sqrt{2}} + \pm{2\sqrt{2}} \\ \\ \boxed{\pm{3\sqrt{2}}}[/tex]

I am joyous to assist you at any time.

math student55 or dino please help


1. since A^2= 36x^2, a=?

2. since b^2= 49, b=?

Answers

Answer:

a = ±6x

b = ±7

Step-by-step explanation:

1.

a² = 36x²

a = ±√(36x²)

a = ±6x

2.

b² = 49

b = ±√(49)

b = ±7

Combine the like terms to create an equivalent expression -3k-(-8)+2}−3k−(−8)+2

Answers

Answer:

Step-by-step explanation:

Here 8 and 10 are the like terms (both are constants)

-3k -(-8) + 2 = -3k + 8 +2

                    = -3k + 10

use the distributive property to rewrite the expression 6(10+n)=

Answers

Answer:

60 + 6n

Step-by-step explanation:

Distribute 6 to both terms:

6 * 10 is 60

6 * n is 6n

Both total are 60 + 6n

Hey there!


6(10 + n)

= 6(10 + 1n)

DISTRIBUTE 6 WITHIN the PARENTHESES

= 6(10) + 6(1n)

= 60 + 6n

= 6n + 60


Therefore, your answer is: 6n + 60


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
entire purchase at checkout, so the tickets would cost him $215 before tax,What was the original
price of each ticket?

Answers

Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

240

Then, divide by 4 to find the cost of each individual ticket.

240/4

60


WILL GIVE BRAINLIEST
pls if you can pls include step by step explanation

Answers

Answer:

The 4th one. Math class grade decreases if the number of days absence increases.

Step-by-step explanation:

With more days absent, lower math grade is shown.

Eight times x is less than or equal to 29
Translate the sentence into an inequality

Answers

[tex]8x \leqslant 29[/tex]

Answer:

8x ≤ 29

Step-by-step explanation:

The reason why is because, 8 times 'x' also means 8 multiplied by x.

The words less than or equal to mean ≤, this is because the less than sign (<) denotes that the product of 8 and 'x' is below 29 and the line underneath the less than sign (<) means that it is equal to.

two barrels filled with juice are similar in shape. the smaller barrel has a height of 2 feet. the larger barrel has a height of 5 feet. the total volume of the barrels is 532 cubic feet. what is the volume if the smaller barrel

Please help

Answers

Step-by-step explanation:

Volume of Barrel : [pi x h(r² + 2R²)] / 3

Barrel A : 2pi(r² + 2R²)]/ 3

Barrel B : 5pi(r² + 2R²)]/ 3

Barrel A + Barrel B = 532

5pi(r² + 2R²)/3 + 2pi(r² + 2R²)/3 = 532

5pi(r² + 2R²) + 2pi(r² + 2R²) = 1596

7pi(r² + 2R²) = 1596

pi(r² + 2R²) = 228

Barrel A = 2 x 228/3 = 76 ft³ SMALLER

Barrel B = 5 x 228/3 = 380 ft³

hope it's helpful, I'm not sure if (r) and (R) are the same if the two barrels has a similar shape. but if they're the same, then the answer is correct


$3.36 for 16 ounces
$3.60 for 20 ounces
$4.08 for 24 ounces
$5.44 for 32 ounces

Answers

Answer:

.1825 per ounce

Step-by-step explanation:

find the per ounce for each equation, then find the average per ounces from the 4 equations

on a test given in math class 60 students arrive in take out their supplies. Of those students, 23 bring pens and 36 bring pencils. Only three students a ride with me neither. How many brought both a pen and a pencil

Answers

11 students brought both a pen and a pencil

59 students brought a pen or pencil or both
48 + 22 = 70
70-59 = 11
11 students brought both a pen and a pencil

the lent of an alligator last year was 32 inches and 38 inches this year what is the percent change of the alligator length?

Answers

Answer:

18.75

Step-by-step explanation:

The length of a rectangle is 12 feet more than twice the width. If the area is 320 square feet, what is the length? What is the width?

Answers

Answer:

Length of rectangle is 32 feet and width is 10 feet

Step-by-step explanation:

Given,

The length of a rectangle is 12 feet more than twice the width and area is 320 square feet

Let's assume, width of rectangle x feet and length of the Rectangle be 12 + 2x respectively. To Calculate the length and width of rectangle we'll use the formula of area of rectangle:

[tex] \\ \star \: { \underline{ \boxed { \pmb{ \sf{ \purple{Area _{(rectangle)}= Length \times width}}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \sf \: \: \: \: (12 +2x) (x) = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2 = 320 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2- 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2x^2 + 12 - 320 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x^2 + 6x - 160) = 0 \\ [/tex]

[tex] \dashrightarrow \sf \: \: \: \: 2(x^2 + 16x - 10x - 160) = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: \: \: 2(x - 10)(x + 16) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: \: \: \underline{ \boxed{ \purple{ \pmb{ \rm{ x = 10 \: or \: -16}}}}} \\ [/tex]

Hence,

Width of rectangle = x = 10 feet Length of rectangle = 12 + 2x = 12 + 2(10) = 32 feet

[tex]~[/tex]

[tex] \underline{\therefore{ \pmb { \frak{Length \: and \: width \: of \: rectangle \: is \: 32 \: and \: 10 \:ft}}}}[/tex]

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