Find three consecutive integers such that if the third is subtracted from six times the sum of the first and second, the result is 452 more than twice the second.

Answers

Answer 1

Answer:

The numbers are 50, 51, and 52.

Step-by-step explanation:

The consecutive integers are (x-1), x, and (x+1).

6*(x-1+x)-(x+1)=452+2x

6x-6+6x-x-1=452+2x

9x = 459

x=51

The numbers are 50, 51, and 52.


Related Questions

Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4

Answers

Answer:

Point form: (4, 4)

x = 4, y = 4

What is the different between the expression (-2)3 and -23

Answers

Answer:

-23 is a set number (-2)3 is an equation

Step-by-step explanation:

The difference between (-2)3 and -23 are very simple. -23 is the product of another expression while (-2)3 can be simplified to -6 when multiplied.

Ally ran 5 miles in 36 minutes. If Ally runs at the same rate, how long would it take her to run 1 mile?

Answers

Answer:

7.2 Minutes

Step-by-step explanation:

Use Ratios

Miles : Minutes

5:36

Divide Both Sides By 5

1:7.2

It will Take Ally 7.2 Minutes To Run 1 Mile

It would take ally 7.2 to run 1 mile


[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]

Answers

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.

Answers

You will have to go step by step

Answer:

1.88

Step-by-step explanation:

(9,-8) and (9,6) and determine the equation of the line.

Answers

Answer:

The answer is undefined.

Step-by-step explanation:

The x will never change, no matter what the y is, so the answer will always be undefined.

Please HELP D: what are the Angels of A,B,C,D

Answers

A is 115 - because you minus 65 from 180 since it is a straight line and equals 180

If I get it right i will give brainlist

Answers

Answer:

a

Step-by-step explanation:

4x+9y= -108

4(0)=9y= -108

9y= -108

-108/9

y- intercept= -12

PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP

Answers

Answer:

x = 18

y = 54

Step-by-step explanation:

A straight line equals 180 degrees.

Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.

Because there is a right angle, we can subtract 90 -72 = 18.

18 + 2x = 3x

18 = x

A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!

I need help!!! Find m<2.

Answers

Answer:

Step-by-step explanation:

m∠2 = 180° - 113° = 67°

The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?

Answers

Answer:

6560lbs

Step-by-step explanation:

Im not exactly sure what to do, could someone help me out?

Answers

Answer:

AB = 18 in.

BC = 22 in.

ED = 33 in.

Angle B = not possible

Angle C: not possible

Angle D = 39°

Angle E: not possible

Angle F: not possible

Step-by-step explanation:

Because it is given that ΔABC≅ΔDFE, we can find the corresponding sides and angles and then find all possible missing side and angle measures from the given diagram.

AB corresponds to DF (ΔABC ≅ ΔDFE)

Because DF = 18, then AB must equal 18.

BC corresponds to FE (ΔABC≅ΔDFE)

Because FE = 22, then BC must equal 22.

ED corresponds to CA (ΔABC≅ΔDFE)

Because CA = 33, then ED must equal 33.

Angle D corresponds to angle A (ΔABC≅ΔDFE)

Because angle A = 39°, then angle D must equal 39°.

All other angles cannot be found since they are not given on the corresponding angles of the triangles in the diagram.

I hope this helps you :)

BD bisects m m Find m

Answers

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.

Answers

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

Determine the area of the figure, in square meters. HELP ME PLAES BRIANEST ASAP PLEASE HAVE A EXPLIATION

Answers

Answer:

100 sq m

Step-by-step explanation:

if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m

then the little piece on the left that is taken out is 2 x 2 = 4 sq m

the piece on the right is 6 x 12 = 72 sq m

so subtract them from the big rectangle

176 - 4 - 72 = 100 sq m

Answer:

100m^2

Step-by-step explanation:

To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.

Area= base•height

So for the purple shape:

6•2=12

Orange:

8•8=64

Green:

2•12=24

In total:

12+64+24=100

And since it's area it would be in square units which just means it'd look like this:

[tex] {100m}^{2} [/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions​

Answers

Answer:

C. Infinitely many solutions

Step-by-step explanation:

Answer:

INFINITE SOLUTIONS

Step-by-step :(examples)

any value of x makes the equation true

true for all= infinite solutions

one solution= x=30

no solution= 7=0

Mary ran 2 miles in 23 minutes how long will it take her to run 15 miles

Answers

The answer is 5.75 hourse

Consider quadrilateral EFGH.

The slope of EF is .


Which statements are true? Check all that apply.

EH is parallel to FG.
EF is perpendicular to EH.
HG is neither parallel nor perpendicular to FG.
Quadrilateral EFGH is a rectangle because it is a parallelogram with four right angles.
Quadrilateral EFGH is a trapezoid because it has exactly one pair of parallel opposite sides.

Answers

(B) EF is perpendicular to EH.

Quadrilateral:A quadrilateral in geometry is a four-sided polygon with four sides and four corners (vertices). The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle. Display style "square ABCD" is sometimes used to indicate a quadrilateral with the vertices A, B, C, and D.

Therefore, the correct option is (B) EF is perpendicular to EH.

Know more about quadrilaterals here:

https://brainly.com/question/16691874

#SPJ2

Answer:

B and C

Step-by-step explanation:

A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?

Answers

Answer:

450 Km

Step-by-step explanation:

90 Km/hr x 5 hr = 450 Km

I hope this helped and good luck!

Answer: Distance= 450km

Step-by-step explanation:

90 times 5= 450

Brainliest to the most correct answer!!!

Answers

Answer:

Multiply the top equation by two because both y value will become opposites and will eliminate.

Please give Brainliest! I never got one! :)

Answer:

Well i will start that the answer is

" (x,y)= (-1/4, 4/3)                                     3y=2/3

Step-by-step explanation:

Which of the following are right triangle congruence theorems

Answers

Answer:

All of them

Step-by-step explanation:

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.

9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.

0.40
0.72
1.15
2.14

Answers

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friends?

Answers

Answer:

52 feet apart

Step-by-step explanation:

20 + 32 = 52

Answer:

52 feet

Step-by-step explanation:

20 + 32 = 52

expand this question
(a+3)(a+5)

Answers

Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]

(a+3)(a+5)
a(a+5)+3(a+5)
a^2+5a+3a+15
a^2+8a+15

Plzz help its only 1 question!!!

Answers

Answer:

D is correct

rost beef sandwich=7$

turkey sandwich=5$

Step-by-step explanation:

Which equation is represented by the graph below?

Answers

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

Solve the equation
5(4+t) = 5t + 20

Answers

the answer is T=0 or 0
=
0

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?

Answers

4x+3y=85.5
3x+5y=115
Combine it
X=7.5 y=18.5

HELPPP!!!

help me for a brainliest!

Answers

=5^6/5^4

=5^(6-4)

=5^2 ANSWER..

1/3 (x-10)=-4 what does x represent

Answers

Answer:

-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Step 1: Multiply both sides of the equation by 3.

Step 2: Simplify both sides of the equation.

Step 3: Move all terms not containing x to the right side of the equation.

Other Questions
A flag measures 150 feet by 75 feet. Find its area Solve for X.Just type the number only, the answer is a positive whole number 1. Which of the following is an advantage of the external combustion engine?O It uses cheaper fuels.O It depends on solar power.O It powers small motor-powered machines.O There is only one kind of external combustion engine. In 1836, despite an earlier Supreme Court decision thatsaid American Indian nations were independent, PresidentAndrew Jackson called for the forced removal of CherokeeIndians from their homelands in the southern UnitedStates. Known as the Trail of Tears, this 1,000-mile journeyto new territory in present-day Oklahoma caused manypeople to dieInterpretation 1 -Jackson was the president of the United States and had aright to ignore the Court's decision if he felt doing so was necessaryInterpretation 2 -President Jackson didn't have to respect the SupremeCourt's decision if he believed it was unfavorable for American citizens.Which statement best compares the two interpretations of President AndrewJackson's decision? A. Both interpretations agree that President Jackson was within hisrights to ignore the Supreme Court's decision B. Interpretation 1 supports President Jackson's decision, whileinterpretation 2 opposes it. C. Both interpretations agree that President Jackson should havefollowed the Supreme Court's decisionD. Interpretation 1 opposes President Jackson's decision, whileinterpretation 2 supports it. Help me pleaseeeeeeeeeeeeeee How is the underlined word being used in this sentence: The stench of rotting forgotten sand which filled the roomA: with a positive connotation B:metaphoricallyC: figuratively D.with a negative connotation What role did women play in the constitutional convention? A. They were elected delegates. B. They lobbied for certain issues. C. They aided in event coordination. D. They did not take part in the convention. A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 9-foot-long shadow. What is the height of the flagpole? meaning ofpasukdollantay pahambing how was corruption related to credit mobile different from that of the whiskey ring? How does the FITT principle apply to the development of a successful personal fitness program? A. The FITT principle helps individuals determine an effective schedule for different exercise activities. B. The FITT principle helps individuals choose the types of activities that will be most enjoyable for them. C. The FITT principle makes it easier for individuals to incorporate lifestyle activities into their fitness programs. D. The FITT principle allows individuals to monitor their progress. Please select the best answer from the choices provided. A B C D Which represents a function? Edge 2020. Please help its important!!Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?Select one:A. 28B. 34C. 43D. 56 Two math questionsAmong all pairs of numbers whose sum is 14, find a pair whose product is as large as possible. What is the maximum product?The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.(Use a comma to separate answers.)The maximum product is nothing.and - refer to picture Gamma rays are given out from theof radioactive atoms. What one word completes the sentence?? Explain the Black Bean Incident. Who was involved and why? What was the outcome? Find the value of c that completes the squarex^2-16x+cPlease help me with how to do this, and show me. Thank you. what two trends in the 1990's were changes implemented by us business HURRYYYYPeople in this stage can sometimes have midlife transitions/crisis or empty nest syndrome. In the ____ and ____ stages of product life cycle, firms often set priorities on growth and/or market share