Two consecutive numbers exist such that the sum of three times the first number and two less than the second number is equal to 411. What are those numbers?

Answers

Answer 1

Answer:

103 and 104

Step-by-step explanation:

Two consecutive numbers

x and x + 1

3 times the first number and 2 less than the second number = 411

               3x                       +                 (x + 1) - 2                         = 411

3x + (x + 1) - 2 = 411

combine like terms

4x - 1 = 411

4x = 412

dividde both sides by 4

x = 103

x + 1 = 104


Related Questions

Market researchers were interested in the relationship between the number of pieces in a building-brick set and the cost of the set. The researchers collected information from a survey and used it to obtain the regression equation y = 0.08x + 1.20, where x represents the number of pieces in a set and y is the predicted price (in dollars) of the set. What is the predicted price of a set that has 2,520 pieces?

A. $202.80
B. $2,017.20
C. $3,024.08
D. $31,485

Answers

Answer:

A. $202.80 EDGE

Step-by-step explanation:

The predicted price of a set that has 2,520 pieces is $202.8.

The correct option is (A).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y = 0.08x + 1.20

where x represents the number of pieces in a set and y is the predicted price.

So, for x= 2520 pieces the predicted price is

y= 0.08(2520)+ 1.20

y= 201.6 + 1.5

y= $202.80

Hence, the predicted price is $202.8.

Learn more about Equation here:

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a poultry farmer sold 1/2 of his eggs and ate 1/3 of the remainder if he has 400 left how many eggs had he originally​

Answers

Answer:

2400 eggs

Step-by-step explanation:

1. To find out how many eggs the poultry farmer had originally, we have to reverse the steps of him selling and eating this eggs.

This means to basically multiply 400 by the reciprocal (inverse) of 1/2 and 1/3.

2. (Solving)

[tex](2)(3)(400)[/tex] [tex](6)(400)[/tex] [tex]2400[/tex]

Therefore, he had 2400 eggs originally.

What is 1 3 fourths x 8?

Answers

Answer:

14

Step-by-step explanation:

1 3 fourths is 7/4

(7/4)*8

4 cancels out with 8

2*7=14

1 3 fourths = 1 3/4 = 7/4

=》 7/4 × 8 (cancel out 4 & 8)

=》 7 × 2 (multiply them)

=》 14

____

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Triangles ABD and XYZ are similar .Find the length of the segment XZ.

Answers

Answer: 2.4

Step-by-step explanation:

Because they are similar, the lengths of the sides will have the same ratio.

We will use side AB and side XY since it shows both sides.

This shows that the ratio is 3:4

We can then use that to find out that XZ also uses the ratio 3:4

3.2 / 4 = 0.8

0.8 * 3 = 2.4

XY is equal to 2.4

help me, pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

C

Step-by-step explanation:

Line up all the units and see what needs to cancel. in the final answer provided in the problem it is actually 1500 seconds*hours/minute. Therefore multiplying by minutes and dividing by seconds would cancel those and result in the correct unit being seconds.

Answer:

The answer is C

Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?

Answers

He got paid $54! :)

Evaluate the formula z=
p−p
pq
n when p=
537
1851​, n=1851​, p=0.30​, and q=1−p

Answers

Answer:  -0.93

Work Shown:

[tex]z = \frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\\\\\\z = \frac{\frac{537}{1851}-0.30}{\sqrt{\frac{0.30*(1-0.30)}{1851}}}\\\\\\z \approx \frac{0.290113-0.30}{\sqrt{\frac{0.21}{1851}}}\\\\\\z \approx \frac{-0.009887}{\sqrt{0.000113}}\\\\\\z \approx \frac{-0.009887}{0.010630}\\\\\\z \approx -0.93010348071496\\\\\\z \approx -0.93\\\\\\[/tex]

solve pls brainliest

Answers

a

distance is -8

b

-7 - 1 = -8

1 - (-7) = 8

c

l-7 - 1l = 8

l 1 - (-7)l = 8

hope this helps

What is the lowest single score (percent) you could get on one of the five example and still receive an A? How did you calculate your score? Explain it to your friends who believes the only way to receive an A is by earning an A on every exam. Is your friend right? Why or why not?

Answers

Answer:

Well I'm assuming some things based on my logic because I don't see the "five examples" but the normal lowest grade you can get and still get a A would be 90.0%. In order to get a A on a exam you need to understand the content of the exam. Some kids get A's on every exam for every class because they understand the content of their classes. Others get B's, C's, D's, and F's because they don't understand the content. Understanding content has nothing to do with you passing exams but how much effort you put into the class and studding.

PLEASE PLEASE ANSWER

Answers

Answer:

Step-by-step explanation:

So the sum of 128 and x+10 is on a straight line which is 180º right?, so:

x + 10 + 128 = 180

x = 180 - 128 - 10

x = 42º

Answer:

42

Step-by-step explanation:

x +10 +128 = 180   {Linear pair}

x  + 138 = 180

x = 180 - 138

x = 42

tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up

Answers

Answer:

your so funny for a annoying kid

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?

ten times the reciprocal of a number equals 5 times the reciprocal of 3

Answers

The reciprocal of a whole number is a fraction with the whole number as the denominator.

Set up the equation:

10 * 1/x = 5 * 1/3

Simplify:

10/x = 5/3

Multiply both sides by 3:

30/x = 5

multiply both sides by x:

30 = 5x

Divide both sides by 5:

x = 6

Answer: 6

5( x + 9)
What is the answer to that

Answers

Answer:

5x + 45

Step-by-step explanation:

distribute 5 to both x and 9 so multiply them both

A triangle has two sides of length 19 and 3. What is the smallest possible whole-number length for the third side?

Answers

Answer:

17

Step-by-step explanation:

You have length 19 and 3:

19-3 = 16 AND 19+3=22

You have a range of 16 and 22 and the smallest number between this specific interval is 17, you do not include 16 or 22 in the interval.

The answer is 7. Use the whole number length

A plumber charges a 8 fee plus 15 per hour for labor. Write an equation in slope intercept form to model the total cost for a job.

Answers

Answer:

y=15x+8

Step-by-step explanation:

Have a good day =)

if john can cover 360 miles in 3 hours find the number of mile covered by john in 1 minute

Answers

Answer:

John can cover 2 miles in 1 minute

Step-by-step explanation:

There are 180 minutes in 3 hours. So 360 ÷ 180 = 2

Enjoy your day! ( ・U・)♡

please help circle math problem

Answers

Answer:

If you‘re looking for the Circumference of a circle (since i didn’t really understand your question) C = 3 x 3.14 x radius (C is circumference aka perimeter btw)

Step-by-step explanation:

Write the equation of the line

Answers

Answer:

x = -2

Step-by-step explanation:

the graph never crosses the y-axis so it would be zero, but it crosses the x-axis at -2

what is the value of X and what is the value of Y


PLEASE HURRY

Answers

The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.

20% tip on a bill of $111.82​

Answers

Answer: about 22.364 or 22.365, I depends on how you to round it

Step-by-step explanation: 0.2*111.82

Answer:

22.364

Step-by-step explanation:

11.82x0.2=22.364

Write 21/5 x 5/14 in its simplest form
Pls help

Answers

Answer:

3/2

Step-by-step explanation:

21/5×5/14

105/70

divide by 5

21/14

divide both by 7

3/2

pls help me with this:((((((​

Answers

Answer: Multiple answers

Step-by-step explanation:

Answer: Multiple answers

Step-by-step explanation:

P.E.M.D.A.S (order of operations)

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)

M=Multiplication

D=Division

Multiplication is done before division.

So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.

1.

24/(1.21)2 becomes 24/2.42

24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)

2.

29/(1.20)2 becomes 29/2.4

29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)

3.

40/(1.20)2 becomes 40/2.4

40/2.4= 16.6666666667 (or 16.7 rounded)

I am not sure if you have to round your answers up, so I provided those answers as well in case.

Hope this helps!

Dad is splitting 16 grapes evenly between my friends and me.
If there are 2 of us, how many grapes should we each get?




:]

Answers

Answer: 8 grapes

Step-by-step explanation:

Division represents even distribution.  As such, simply rephrase the word problem as 16 ÷ 2, or 8.

Hope it helps :) and let me know if you want me to elaborate.

Can someone help me

Answers

Answer:

Step-by-step explanation:

1/4 : 2 * 1/4 = 6 : x

0.25 : 2/4 = 6 : x

0.25 : 1/2 = 6 : x

0.25 : 0.5 = 6 : x

0.5 = 6 : x

x = 6 : 0.5

x = 12

What is the answer of the 5? I don’t know how to do this, please help me! ☹️☹️☹️☹️☹️

Answers

Step-by-step explanation:

the perimeter is easy.

it is an isoceles triangle, that means both sides are equally long (10 units).

the length of the baseline we can read directly off the coordinates of P and Q.

both are on the same horizontal grid line y = 1. so, the difference in x is their distance : 8 - -8 = 8+8 = 16

so, the perimeter is 10 + 10 + 16 = 36 units.

now, for k :

k is the height of the triangle + 1 (as the baseline is at y=1 and not at 0).

we can get the height by using Pythagoras :

c² = a² + b²

c is the Hypotenuse (the baseline) of the dude opposite of the 90° angle.

the triangle we use for this is

PR, half of PQ and the height of the main triangle, with PR being the Hypotenuse.

so,

10² = (16/2)² + height² = 8² + height²

height² = 10² - 8² = 100 - 64 = 36

height = 6

therefore, k = 6 + 1 = 7

nathan used 2 5/6 loaves of bread to make sandwiches for a lunch he made equal numbers of 4 different types of sandwiches

Answers

Answer:

nawng nimo lobot nako para ma baho imong nawng ibotang sakong lobot

Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.

Answers

Answer:

23:18,23 to 18,23/18

Step-by-step explanation:

the three ways to write a ratio are colon,the word to, and the divide symbol .

WILL MARK BRAINLY
The graph of g(x)=x^2+2x is translated by 4 units to the left. which of the following gives the equation of the new graph?
x^2 + 10x + 24
x^2 + 2x + 4
x^2 + 2x - 4
x^2 - 6x + 8

Answers

Answer:

X^2 + 10x +24

Step-by-step explanation:

I hope this helps!

upper bound and lower bound of 80.0

Answers

Answer: 79.95 and 80.05

Step-by-step explanation: If the upper bound and lower bound is asked to a tenth then divide 0.1 by 2 and add 0.05 to 80.0 for the upper bound and minus 0.05 from 80.0 t get the lower bound.  

Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x

x=

Answers

Based on the centroid theorem, the value of x is: 2.5.

What is the Centroid Theorem?

The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.

Given:

BD = 4x + 5

BF = 9x

Thus:

BD = 2/3(BF)

Substitute

4x + 5 = 2/3(9x)

4x + 5 = 6x

4x - 6x = -5

-2x = -5

x = 5/2

x = 2.5

Therefore, based on the centroid theorem, the value of x is: 2.5.

Learn more about centroid theorem on:

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