1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bas_tet [7]
3 years ago
11

The greater of two consecutive even integers is eleven more than half the lesser. Determine the integers.

Mathematics
1 answer:
exis [7]3 years ago
5 0
<span>The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.
1st: 2x
2nd: 2x+2
-----
EQUATION:
2x =(1/2)(2x+2)+10
2x = x + 11
x = 11
-------------
1st: 2x = 22
2nd: 2x + 2 = 24
=================================== 

2) The greater of two consecutive even integers is 6 less than the times the lesser


</span><span>3) Find four consecutive integers such that twice the sum of the two greater integers exceeds three times the first by 91. 
1st: x
2nd: x+1
3rd: x+2
4th: x+3
---------------
EQUATION:
2(x+2 + x+3) = 3x + 91
4x + 12 = 3x + 91
x = 79
x+1 = 80
etc.
====================== 
4) Find a set of four consecutive positive integers such that the greatest integer in the set is twice the least integer in the
I'll leave this to you.</span>
You might be interested in
PLEASE HELP!!! BRAINLIEST TO CORRECT COMPLETE ANSWER!
notka56 [123]

Answer:

y=16x+1

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,17) and (2,33).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,17), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=17.

Also, let's call the second point you gave, (2,33), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=2 and y2=33.

Now, just plug the numbers into the formula for m above, like this:

m=  

33 - 17/  2 - 1

or...

m=  16/ 1

or...

m=16

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=16x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,17). When x of the line is 1, y of the line must be 17.

(2,33). When x of the line is 2, y of the line must be 33.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=16x+b. b is what we want, the 16 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,17) and (2,33).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,17). y=mx+b or 17=16 × 1+b, or solving for b: b=17-(16)(1). b=1.

(2,33). y=mx+b or 33=16 × 2+b, or solving for b: b=33-(16)(2). b=1.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,17) and (2,33)  is   y=16x+1

4 0
2 years ago
Factoring completely
Marianna [84]
This is called a difference of squares which always factors according to the rule for factoring the difference of squares....

(a^2+b^2)=(a+b)(a-b)  in this case:

9w^2-16 so

(3w-4)(3w+4)
4 0
3 years ago
12. Will you miks the paint? Answers
wolverine [178]

The required proportion of the blue paint is 18 liters.

Given that,
The ratio of yellow and blue colors is 2:3
The proportion of the yellow color is 12 liters.
The proportion of blue color is to be determined.

<h3>What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Let the proportion of the blue color is x,
Now, the ratio can be given as
12 / x = 2 / 3
x = 12 * 3 / 2
x = 18

Thus, the required proportion of the blue paint is 18 liters.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ1

The question given is incomplete, a proper question could be
A paint store mixes yellow and blue paint in a ratio of 2:3 to make green paint. If they used 12 liters of yellow paint, how many liters of blue paint were used?

7 0
1 year ago
A number decreased by 23 is 44. Find the number.
Hoochie [10]

Answer:

A

Step-by-step explanation:

The number is decreased by 23 which means 23 is subtracted from the number.

let the number be x, then

x - 23 = 44 ( add 23 to both sides )

x = 67

The number is 67

3 0
3 years ago
Estimate 462809 + 256738
mafiozo [28]
462809 round off to 500000.
256738 round off to 300000.
500000+300000=800000
5 0
3 years ago
Other questions:
  • Carter's telephone bill is automatically deducting $48 from his bank account every month. How much will the deductions total for
    14·1 answer
  • 2 less than six times a number.
    15·1 answer
  • I don't understand this​
    8·1 answer
  • Solve each equation.
    12·1 answer
  • Write an equation, in point-slope form, of the line that passes through the point (4, -3) with a slope -7.
    13·1 answer
  • Pls help I’m in a call by myself with my math teacher
    7·1 answer
  • kim just went to the store and bought 2 presents that cost kim $1,800 and her Taxes or 88 cents how much does kimmlin have to pa
    10·1 answer
  • Need ko po answer plssssss
    12·1 answer
  • 232. Сколько решений имеет уравнение | х + 3 | -один?
    13·1 answer
  • 1. The school office is now selling neon mechanical pencils. If the office pays $10.80 for a dozen pencils, how much should be c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!