6. Three consecutive integers add up to 51. What are these integers?

Answers

Answer 1

Answer: 16,17,18

Step-by-step explanation:

(x)+(x+1)+(x+2) = 51

x+x+x+1+2=51

3x+3=51

3x=51-3

3x=48

x=16

x+1 = 17

x+2= 18

Answer 2
Answer:x = 16x + 1 = 17x + 2 = 18Step by step Explanation:

Let, the three consecutive integers be x, x+1 and x+2.

[tex] \star \: \underline{\frak{ \purple{According \: to \: the \: question \orange{,}}}}[/tex]

[tex] \longrightarrow \: \: \pmb{ \sf{x + (x+1) + (x+2) = 51}}[/tex]

[tex] \mapsto \: \: \: \sf{3x + 3 = 51}[/tex]

[tex]\mapsto \: \: \: \sf{3x = 51 – 3}[/tex]

[tex]\mapsto \: \: \: \sf{3x = 48}[/tex]

[tex]\mapsto \: \: \: \sf{x =  \frac{48}{3} }[/tex]

[tex]\mapsto \: \: \: \sf{x = 16}[/tex]

° the integers are :

x = 16x + 1 = 17x + 2 = 18

_____________________________

Related Questions

HELP I NEED THIS ITS DUE IN AN HOUR!!!!
In ARST, the measure of ZT=90°, the measure of ZR=25°, and ST = 7.3 feet. Find the length of TR to the nearest tenth of a foot.

Answers

Step-by-step explanation:

ctg (25) = x / 7.3

2.1445 = x/ 7.3

x = 2.1445*7.3

x = 15.654

62x+4=33x×2x+8 please solve it​

Answers

The answer is 74 i think so

How do I solve this problem? Thank you.

Answers

A. 24/7 because tangent is opposite/adjacent in this case from angle a 24 is on the opposite side while 7 is adjacent

2. The mean of 5 numbers is 10. The median is 13. What might the numbers be?
Find 2 different answers.

Answers

Mean is the average.

10 x 5 = 50

All 5 numbers need to add up to 50.

Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.

Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)

4 +3 = 7

14+16 = 30

1 set could be 3, 4 ,13, 14, 16

A 2nd set could be:

1 +2 = 3

16 + 18 = 34

1,2,13,16,18

which one of the following is a factor of a²+bc+ab+ac?​

Answers

a² + bc + ab + ac

a (a+b) + c (b + a)

(a+b) ( a+c)

I need help ASAP , State whether set of ordered pairs represent a function
{(-13,4) , (7,-15), (-13,9) (6,-12) (-18,0)

Answers

Answer:

No, the given set of pairs does not represent a function

Step-by-step explanation:

For a set of values to be a function, each input must have one and only one output value

Now, for the given set, we can note that:

The input -13 has two output values; 4 and 9

Therefore, this set is not a function

Hope this helps :)

Find the volume of a right circular cone that has a height of 7.5 m and a base with a
radius of 14.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

Answer:

1697.2 <3

i got it right

3. Jaselle earned $80.00 raking leaves. This is 8 dollars more than 4 times the amount that Dillon
earned. How much did Dillon earn?
(25 Points)

Answers

The answer is 12 hope this helps

Answer:

Step-by-step explanation:

So, Jaselle has $80.00.

This is 8 dollars more than 4 times the amount that Dillon

earned.

$80.00 - 8.00 = $72.00

4 Times average amount = $72.00

Average (begining amount) = $18.00

I HOPE THIS HELPS :3

Diana uses a wheelbarrow to haul wood from her backyard to the back of her
neighbor's house, located 30 024 feet away. She can push the wheelbarrow
3336 feet before she has to take a break.
How far would she be after 7 breaks?

Answers

I really tried here and I couldn’t figure it out sorry

Identify the values of a, b, and c in the following quadratic equation. 6x 2 + x - 6 = 0

Answers

Answer:

[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]

Step-by-step explanation:

[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]

A group of friends goes out to dinner. The total bill, without tax, is $63. If tax on the meal is 6% and if an 18% tip is left on the $63 total billwhat is the total amount paid?

Answers

Answer: $78.12

Step-by-step explanation:

First find the tip to be paid on the pretax amount:

= 63 * 18%

= $11.34

Then find the tax to be paid:

= 63 * 6%

= $3.78

Add the tip and the tax to the pretax bill:

= 63 + 11.34 + 3.78

= $78.12

Find the length of midsegment JN in the trapezoid.

Answers

Answer:

JN = 18.6

Step-by-step explanation:

Theorem:  The length of the midsegment of a trapezoid is the average of the bases.

[tex]JN = \frac{15.4 + 21.8}{2}[/tex]

       [tex]= \frac{37.2}{2}[/tex]

       = 18.6

See how easy that is when you know the theorem.

What are the missing numbers?

Answers

Answer:

You can use the formula 500 * 1.03^x to solve for any year.

year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

Step-by-step explanation:

The amount is increasing, and there are two main ways for that to happen.  Addition and multiplication.  So let's see if it keeps getting the same amount added or multiplied.  

0 to 1 goes from 500 to 515, so 15 is added.  but 15.45 is added from 1 to 2, so we can't just do simple addition.

using multiplication 0 to 1 has 1.03 multiplied.  if you multiply by it again you do get 530.45, so we have established what is happening.  

You can use the formula 500 * 1.03^x to solve for any year.

so year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

find the value of x in a triangle. x-20, x+10, x-20

Answers

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

x-40°+x-20°+½x-10° = 180°

2x+½x -60°-10° = 180°

5/2 x - 70° = 180°

5/2 x = 180° + 70°

5/2 x = 250°

x = 250° × 2/5

x = 50° × 2

x = 100°

So the angles are

x-40° = 100°-40° = 60°

x-20° = 100°–20° = 80°

½x-10° = ½(100)° - 10° = 50° -10° = 40°

The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

60° + 80° + 40° = 100° + 80° = 180°

Each patron can borrow the books for 2 weeks and a renew the loan twice. What is the maximum number of days can a patron keep the books he borrowed from the library?

Answers

42 days.

explanation:

2 weeks is 14 days.

if you can renew the loan twice, that’s adding two weeks onto the loan per renewal.

4 weeks is 28 days.

2 weeks plus 4 weeks is 6 weeks.

6 weeks = 42 days, because 6 * 7 =42

What number is 50 % of 6/5

Answers

Answer:

3/5.

Since the numerator is an even number, you can simply remove half of it.

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.

y+2=3 (x-6)

Answers

Answer:

Step-by-step explanation:

It x=2

GIVING BRAINLIEST!!!! Please help :(

Select the statement that describes this expression: (10 − 3) x 4 + 5.

A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3

Answers

The answer is C) Multiply 4 by the difference of 10 and 3, then add 5

1) A circle has a diameter of 16 cm. Find its circumference. (Use the calculator's value
of 7. Round your answer to the nearest tenth.).

Answers

Answer:

1) A circle has a diameter of 16 cm. Find its circumference=πd=π×16=16π=50.265=50.27=50cm

You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?

Answers

Answer:

$24272.62

Step-by-step explanation:

Given data

Principal= $10,000

Rate= 3%

Time = 30 years

The expression for the compound interest is given as

A= P(1+r)^t

Substitute

A=10000(1+0.03)^30

A=10000(1.03)^30

A=10000*2.4272

A= 24272.62

Hence the final Amount A=$24272.62

hi please help i’ll give brainliest please

Answers

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

Answer:

6x6x6, 3x3x3x3x3x3, 216

Step-by-step explanation:

6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.

In the diagram, QR=ST=480, CU=5x, and CV=9x-56. Find the radius of circle C

Answers

Answer:

your answer will be option C. 250

Step-by-step explanation:

hope it helps you

have a great day

5x+8 = 18
Please answer fast​

Answers

Answer:

5x + 8 = 18

5x = 18 - 8

5x = 10 (divide both sides by 5 to get x)

5x/5 = 10/5

x = 2

Step-by-step explanation:

also can i get brainliest

If janice plays a game once and the probability of getting yellow is 0.24. How many times will the color shown be yellow if she plays 50 times?

Answers

Answer: 12

Step-by-step explanation:

Given

The probability of getting yellow color is 0.24

If the no of trials is 50

[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]

Yellow color appears 12 times

The projected population of Tennessee in 2030 is
about 5x5.9^8. Predict the average number of people
per square mile in Tennessee in 2030. Land area: about 5.9^6

Answers

Answer:

Population  

Population estimates, July 1, 2019, (V2019) 6,829,174

Population estimates base, April 1, 2010, (V2019) 6,346,276

Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%

Population, Census, April 1, 2010 6,346,105

Age and Sex  

Persons under 5 years, percent 6.0%

Persons under 18 years, percent 22.1%

Persons 65 years and over, percent 16.7%

Female persons, percent 51.2%

Race and Hispanic Origin  

White alone, percent 78.4%

Black or African American alone, percent(a) 17.1%

American Indian and Alaska Native alone, percent(a) 0.5%

Asian alone, percent(a) 2.0%

Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%

Two or More Races, percent 2.0%

Hispanic or Latino, percent(b) 5.7%

White alone, not Hispanic or Latino, percent 73.5%

Population Characteristics  

Veterans, 2015-2019 431,274

Foreign born persons, percent, 2015-2019 5.1%

Housing  

Housing units, July 1, 2019, (V2019) 3,028,213

Owner-occupied housing unit rate, 2015-2019 66.3%

Median value of owner-occupied housing units, 2015-2019 $167,200

Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244

Median selected monthly owner costs -without a mortgage, 2015-2019 $388

Median gross rent, 2015-2019 $869

Building permits, 2019 41,361

Families & Living Arrangements  

Households, 2015-2019 2,597,292

Persons per household, 2015-2019 2.52

Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%

Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%

Computer and Internet Use  

Households with a computer, percent, 2015-2019 87.1%

Households with a broadband Internet subscription, percent, 2015-2019 78.4%

Education  

High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%

Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%

Health  

With a disability, under age 65 years, percent, 2015-2019 11.0%

Persons without health insurance, under age 65 years, percent 12.1%

Economy  

In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%

In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%

Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013

Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683

Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482

Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421

Total retail sales, 2012 ($1,000)(c) 91,641,605

Total retail sales per capita, 2012(c) $14,194

Transportation  

Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2

Income & Poverty  

Median household income (in 2019 dollars), 2015-2019 $53,320

Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859

Persons in poverty, percent 13.9%

BUSINESSES

Businesses  

Total employer establishments, 2018 138,269

Total employment, 2018 2,683,214

Total annual payroll, 2018 ($1,000) 125,736,019

Total employment, percent change, 2017-2018 1.3%

Total nonemployer establishments, 2018 539,987

All firms, 2012 550,453

Men-owned firms, 2012 302,249

Women-owned firms, 2012 195,694

Minority-owned firms, 2012 105,234

Nonminority-owned firms, 2012 434,025

Veteran-owned firms, 2012 59,379

Nonveteran-owned firms, 2012 469,392

GEOGRAPHY

Geography  

Population per square mile, 2010 153.9

Land area in square miles, 2010 41,234.90

FIPS Code

Step-by-step explanation:

Given Brainly to who ever help

Answers

Perimeter: 26
Area: 32

Let me know if you need me to explain in depth!!

Xavier needs to bike a minimum of 80 miles this week for his training if he is already biked 14 miles this week and how many miles should he bike on each of the six remaining days this week?

Answers

Answer:

if he wants to bike the same amount of miles each day he should bike 11 miles each day .

Step-by-step explanation:

subtract 14 - 80 = 66. 66 in 6 days is 11 each day

State if the triangles in each pair are similar. If so, complete the similarity statement.

Answers

Answer:

B

Step-by-step explanation:

Set up a proportion and see if it is true:

[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]

True, so they are similar.

The similarity statement would be QRS ~ QED

So B is the answer

Q1
A container has length 9750mm, width 6200mm and height 5500mm -
{a) Calculate its floor area in m2
(b) Calculate its volume in m3

Answers

Answer:

(a) 60.45 m2.

(b) 332.475 m^3.

Step-by-step explanation:

(a) area =  length * width

= 9750 * 6200

= 60450000 mm^2

There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2

= 60.45 m^2.

(b) The height in meters is 5500 / 1000 = 5.5 m

Volume = area of floor * height

= 60.45 * 5.5

= 332.475 m^3.

You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?

Answers

Answer:

1 quarts of red paint

2.4 quarts of blue paint

Step-by-step explanation:

Let :

a = quarts of blue paint

b = quarts of red paint

a + b = 3 2/5

a + b = 3.4 - - - (1)

Ratio of a and b :

a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4

a/b = 2.4

a = 2.4b - - (2)

From (1)

2.4b + b = 3.4

3.4b = 3.4

b = 1

a + b = 3.4

a + 1 = 3.4

a = 3.4 - 1

a = 2.4

Other Questions
N 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.6 feet. Find the percent change in river depth When a new viral infection appears in a population,scientists usually try to develop a vaccine against the virus. Which substances would most likely be contained in the new vaccin Analyze the results of the correlation using the given residual plot. NEED HELP What color is the container for R-134a refrigerant? A. Light blue B. Yellow C. Dark green D.White and yellow Suppose the ratio of girls to boys in your school is 19:17. There are 1908 students altogether. Write and solve a system of equations to find the total number of boys and girls in the school. The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5 What are some Foreign Interventions in Iran?DateForeign Powers InvolvedType of InterventionIncentive for Foreign PowerRole of Iranian Ruler or GovernmentReaction and/or impact of/on Iranian PeopleNEED ASAPI can give more brainly And will mark branliest y=x+ 5 y = 6HELP!!Solve this system of equation algerbraically. what is the molecular shape of N2O2? Write about four different ways that potatoes can be served Convection currents in Earth's core transfer heat and material to the surface.True or False? plot the flowing points on the number line without measuring. A function is shown.g(x) = 125()What is the value of g(6)?PLEASE HELP ASAP This is a Spanish 1 class and it's on FLVS. I need help ASAP! -4x-16=2x+2 does anyone know what this would be Three Democratic structures of South Africa Write a biography about a famous person of Nepal... Representa en la recta numrica los siguientes grupos de nmeros enteros e identifica entre ellos cual es el menor y el mayor. a). (-8, -6, -7, 3) b). (-9, -5, 2, 5,9) c). (-1, -8, - 5, -3, 1) d). (12,-5,0,-1,-10) The Bill of Rights was added by the first ___.a) governorb)electorc)president d)congresse)entertainment Please help me I need help fast!!!!!