Three 3-digit numbers are formed using the digits 1 through 9 exactly once each. The hundreds digit of the first number is 1. The tens digit of the second number is 8. The units digit of the third number is 5. The ratio of the first number to the second number to the third number is 1:3:5, respectively. What is the sum of the three numbers?

Answers

Answer 1

Answer:

  1161

Step-by-step explanation:

We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...

  1?? × 3 = 38? . . . . where ? is an unknown digit

The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.

When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)

So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.

The numbers have the ratios ...

  129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.

We note that the digits 1–9 are used exactly once each, as required.

The sum of the numbers is 1161.

_____

* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.


Related Questions

What does 'n' represent in the general term (tn) = an2 + bn+c of a sequence? ​

Answers

Answer:

number of terms

Step-by-step explanation:

Answer:

n represents any natural number.

Step-by-step explanation:

Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)

Answers

Answer: listed below :)

True or False: In a pooled sample proportion, two samples are combined to estimate this single p instead of estimating p1 and p2 separately.

Answers

The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.

What is a pooled sample?

It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.

In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.

In conclusion, the correct option is true.

Learn more about sampling on:

https://brainly.com/question/24466382

Find the slope of the line that is parallel and perpendicular to the following equation.
y + 4 = -3(x +1)

Answers

Answer:

Parallel: -3

Perpendicular: 1/3

Step-by-step explanation:

First I would convert the equation into slope-intercept form to more easily identify the slope:

[tex]y+4=-3x-3\\ y=-3x-7[/tex]

Slope-intercept form is defined as y=mx+b where m is the slope and b is the y-intercept so we can identify the slope of this line as -3.  

When a line is parallel to another line, this means that they have the same slope, therefore the slope of the line parallel to the equation is -3.  

Perpendicular lines will have slopes that are negative reciprocals of each other, the negative reciprocal of -3 is 1/3; therefore, the slope of the line perpindicular to the equation is 1/3.

Answer:

parallel slope = -3

perpendicular slope: [tex]\sf \bold{\frac{1}{3} }[/tex]

Explanation:

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

comparing with y = m(x) + b      [ "m" is the slope, "b" is the y-intercept ]

slope: -3y-intercept: -7

Parallel/Tangent slope:

m₁ = m₂                (same)

Perpendicular/Normal slope:

m₁ * m₂ = -1           (negatively reciprocal)

⇒ Here parallel slope:

m = -3

⇒ Here perpendicular slope:

-3 * m₂ = -1m₂ = -1/-3m₂ = 1/3

PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! AND NO LINKS PLEASE!!!!!

Answers

Answer:

To get the discount for the 5 pound bag of apples, we must first note the following:

The original price of the apples, which in this case it is 2.99

Also we must note the sale price for the apples which is 1.59

to get the discount for apples we must then create an equation based on the above information,

Discount for A= original price -sale price

Discount for A=2.99-1.59

Discount for A=1.40

Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.

Part 2

To get the discount for oranges we follow the same steps.

Discount for R= Original price for R -sale price for R

Discount for R=3.99-2.59

Discount for R=1.40

In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:

D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)

Answer:

I'm not certain I understand what is being requested.  Please see the attached explanation for two different approaches.

Step-by-step explanation:

See attachment.

What is the measure of \angle D∠Dangle, D?

Answers

Answer:

63⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

Place each function below in the appropriate cell to show the transformation from

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Top left box

f(x) = 2x² + 4

g(x) = 2f(x) - 3

g(x) = 2(2x² + 4) - 3g(x) = 4x² + 8 - 3g(x) = 4x² + 5

Top right box

f(x) = 2x² + 4

g(x) = 2f(x) + 3

g(x) = 2(2x² + 4) + 3g(x) = 4x² + 8 + 3g(x) = 4x² + 11

Bottom left box

f(x) = 2x² - 4

g(x) = 2f(x) - 3

g(x) = 2(2x² - 4) - 3g(x) = 4x² - 8 - 3g(x) = 4x² - 11

Bottom right box

f(x) = 2x² - 4

g(x) = 2f(x) +3

g(x) = 2(2x² - 4) + 3g(x) = 4x² - 8 + 3g(x) = 4x² - 5

Evaluate. 3 x 2/3 x 1/8

Answers

Answer:

[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]

Step-by-step explanation:

HOPE IT HELPS (^o^)/

#carryonlearning

In the following expression, 6 and -6 are like terms.

6- 6 + 8a

a) True
b) False

Answers

Answer:

no there not

Step-by-step explanation:

6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign

(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.

Answers

Students who will attend community college are not required to take SAT or ACT exams.

Given that,

Standardized test scores should no longer be used as a factor in college admissions because such tests put equity and integrity at stake. Standardized tests, such as the SAT and American College Testing (ACT) are not equitable enough to be used to determine an applicant's status of admission.

Based on the information.

About 130 colleges and universities in California no longer require SAT or ACT tests for admission in fall 2022, according to the Los Angeles Times. After the University of California removed the requirement for test scores for admission in 2020, many other colleges and universities followed.

Therefore, Students who will attend community college are not required to take SAT or ACT exams.

Learn more: https://brainly.com/question/7567975

The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?

Answers

Answer:

C ≈81.64 inches

Step-by-step explanation:

Formula : C ≈ πd

Where:

C = circumference

π ≈ 3.14 {About}

d = diameter

As Given :

Wheel of a bike has a diameter of 26 inches.

Solution:

Note - Given that diameter = 26

π ≈ 3.14 {About}

C ≈ 3.14 (26)

C ≈ 81.64

Therefore the circumference of the wheel is 81.64 inches

Kavinsky

find the surface area of a cube with a side length of 1/9​

Answers

To find the surface area, we must define what is the surface area

Definition of Surface Area: is all the areas of the sides of the 3D shapes added up

In this case, we have a cube

  ⇒ which means all the sides have equal areas since all the side lengths

      are equal

That means the surface area

  ⇒ is equal to ⇒ 6 * (Area of One Side)        

        '6' comes from the # of sides on a cube

Surface Area = [tex]6 *\frac{1}{9} *\frac{1}{9} = \frac{6}{9 *9} =\frac{2*3}{3*3*3*3} =[/tex] 2/27

Hoped that helped!

giving brainiest and 85 points!

Answers

Answer:

12 560 cubic feet

Step-by-step explanation:

radius of circular cross section = 20ft/2 = 10ft

Area of circular cross section = πr²

                                                 = 3.14 x 10 x 10

                                                 = 314 square feet

Volume of cylindrical tank =  314 ft² x 40ft

                                            = 12 560 ft³

                           

What is the measure of the third angle in a triangle if the sum of the other two angle measures is 110°?

Answers

Step-by-step explanation:

the third angle in a triangle= 70

What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 11 cm​ wide, and 10 cm​ tall?

Answers

Answer:

  √446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

  d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

Additional comment

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

Can anyone please answer the attachment​

Answers

Answer:

•SEE BELOW•

1) NAME OF CIRCLE : CIRCLE ABDE

2) CHORD : SEGMENT DE

3)DIAMETER: SEG DB

4)TANGENT LINE : RAY E

5) SECANT LINE : SEGMENT AB

HOPE IT HELPS!

MARK AS BRAINLIAST.

Sage borrowed $4500 from her parents to buy her a new car. So far she has repaid $2740 How much money does save still owe her parents?

Answers

Answer:1760

Step-by-step explanation:you get the money given by the parents minus the money given back to the parents

How much blue paint did they use in all?

Answers

Answer:

2.25 ounces

Explanation:

0 ounces - 1 X2/4 ounces - 3 X3/4 ounces - 1 X

so total used:

0 * 1 + 2/4 * 3 + 3/4 * 10 + 1.5 + 0.752.25

A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters."/>

Answers

Answer:

u got this bro come on

x28

What is the surface area? ​

Answers

l×d×h

= 9m×4m×5m

= 180m²

WHAT IS -X-5 I AM STUCK ON THIS QUESTIOOOOON

Answers

Answer:

Step-by-step explanation:

this really hard for me so if you could leave a explanation that would be great.

Answers

Answer: The answer is B and C.

Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.

Pls Help Choose the correct word to complete the statement: If BC intersects circle A only at point B, and mCBA = 90°, then CB is a​

Answers

Line CB touches circle A only at one point (point B), hence CB is a tangent.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

When a line intersects a circle in exactly one point the line is said to be tangent to the circle

Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.

Find out more on circle at: https://brainly.com/question/24375372

please please help me

Answers

Answer:

D. 102.6 in²

Step-by-step explanation:

The area of the square is 9 in² (3 × 3 = 9)

The area of the rectangle is 30 in² (3 × 10 = 30)

The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)

Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.

Hope this helps!

Answer:

Option D

Step-by-step explanation:

Square:

side = 3 in

[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]

                        = 3*3

                        = 9 square inches

Rectangle:

length = 10 in

width = 3 in

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                            = 10 *3

                           = 30 inches

Circle:

diameter = 9 in

radius = 9 ÷ 2 = 4.5 in

[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]

                       = 3.14 * 4.5 *4.5

                        = 63.6 square inches

Total area = area of square + area of rectangle + area of circle

                  = 9 + 30 + 63.6

                  = 102.6 square inches

How to find the base of a triangle if your height is 6 inches.

Answers

Answer:

Triangle Area = 1/2 x Base Length x Height Example:

Simplify the problem below and write in standard
form:
–725 + 8x3 – 6x2 – 10x3 – 9
-7x5

Answers

You combine like terms

Your answer will be -7x^5 - 2x^3 - 6x^2 -9

A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?

Answers

The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)

Answer:

t = 11.559 years

Compound Interest

Given Data

Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??

(about 11 years 7 months)

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )

t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )

t = 11.559 years

Learn more about compound interest here:

https://brainly.com/question/24924853

What is the slope of the line that includes these two points

Answers

Answer:

[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]

Step-by-step explanation:

[tex]m=\dfrac{rise}{run}[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{6-8}{-7-5}[/tex]

[tex]m=\dfrac{-2}{-12}[/tex]

[tex]m=\dfrac{1}{6}[/tex]

Hope it helps! :)

Decide whether each equation is true or false.
1. 9 ⋅ 9 ⋅ 3 = 3 5
2. 7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
3. 1 7 ⋅ 1 7 ⋅ 1 7 = 3 7
4. 4 1 = 4 ⋅ 1
5. 6 + 6 + 6 = 6 3

Answers

Answer:

Step-by-step explanation:

Number 1 FALSE

9 * 9 * 3 = 81 * 3 = 243

Number 2 TRUE

7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3

7 * 3 = 3 * 7

21 = 21

Number 3 FALSE

17 * 17 * 17 = 4913

Number 4 FALSE

4 * 1 = 4

Number 5 FALSE

6 + 6 + 6 = 18

1. False
2.True
3.False
4.False
5.False

the $120 repair bill included $36
parts and the rest for labor.
hat percent of the bill was for
labor?

Answers

Answer:

Step-by-step explanation:

36/120 for parts

x-36/120 is for labour

x = 120

120-36/120

84/120

times by 100 for percent

70%

Other Questions
How many atoms are in 0.560 moles of iron? A betta fish tank is in the shape of a cube. The volume of the fish tank is 216cubic inches. What is the edge length, in inches, of the fish tank?6)Type the number in the box.inches What must owners of agricultural land do each year in order for it to qualify for protection under the Green Belt Law Economics will give brainlyIf an insurance policy covers individual losses up to $2,000 and has a deductible of $200, the insured will be paid how much in the event of a covered loss of $2,500?Group of answer choices$2,500$500$1,800$2,300$2,000 The formula for the volume of a cylinder is V=pi * r^2 * h.Solve the formula for r When one mole of hydrogen, H2, is formed, 131 kJ of energy is absorbed. Calculate the amount of energy absorbed when 240 dm3 of hydrogen, measured at room temperature and pressure, is formed 4Marta is trying to pull a wagon loadedwith rocks. What can she do to increasethe wagon's acceleration?More mass.More force.LIGHT GREENLess force.ORANGEDARK PINK5 In the poem "o captain! my captain!" by walt whitman, the central idea of this poem centers around the death of a hero. which line from the poem best illustrates this central idea? In A Doll's House, discuss how a character takes a stand for something he/she believes in. Be sure to address how s/he acts as s/he opposes what other characters believe to be normal or acceptable. Old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats. How many grams of carbohydrates are available in 2 1/4 cups of dry oats? Question 1 of 10Which is true about the Mycenaeans?A. They had advanced weapons.O B. They were not imperialists.C. They had no fortresses.O D. They were monotheistic. A son is one half as old as his father. The some other ages is 72 years. What is the age of each? What does the figurative phrase "as a pine or a poplar falls on the hills before thewoodsman's ax" mean as used in the excerpt? what is the volume of a box a tissue box a shoe box a poptart wrapper and a cereal box (06.02 LC) Which of these is the algebraic expression for "3 times the sum of 2 and y?3(2 + y) 3 2 + y 2 + 3 y 2(3 + y) I will mark brainly, please help me solve this question.If the rate of inflation per annum is 15% per annum, how long will iti take for the price of an item to double? In the resolution, what do the words "alien subjugation, domination and exploitation" most likely refer to? control by foreign powers desire for independence challenges of independence need for self-determination Can Someone Please Help Me With Question Please And Thank You. PLS HELP!!!!For each sequence determine whether appears to be a ARITHMETIC or GEOMATRIC or neither ( pictures attached) A hospital is evaluating its policies and procedures. What type of evaluation is the hospital conducting