Answer:
et's start by defining the three consecutive integers.
.
If x represents the least of the three, then the next consecutive integer is x+1 and the
next consecutive integer is 1 more than that ... or x + 2
.
So the three consecutive integers are x, x+1, and x+2.
.
Twice the least integer is, as you correctly wrote, 2x.
.
12 more than the greatest integer is x+2 + 12 = x + 14
.
Since these two amounts must be equal, you can write:
.
2x = x + 14
.
Now you need to get rid of the x on the right side so that you end up with all the terms
containing x on one side of the equation and everything else on the other side. You can
get rid of the x on the right side by subtracting x from the right side. But if you subtract
something from the right side, you must also subtract it from the left side to keep the
equation in balance. So subtract x from both sides. When you do that, the x disappears
from the right side and the left side becomes 2x minus x which is just x.
.
So the equation is reduced to:
.
x = 14
.
If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the
three consecutive integers are 14, 15, and 16.
.
Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more
than the greatest integer which is 16? Yes it is, so the problem checks.
.
You were on the right track, but you just needed to know the difference in the three integers
was that they were x, x+1, and x+2. Hope this helps to show you how you could work the
problem through to get the final answer.
Step-by-step explanation:
300x7065
A tough one can you solve it without looking the answer up or not cheating in any way
A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?
Answer:
242
Step-by-step explanation:
165 ÷ 15 = 110
110 × 2.2 = 242
The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
A train covers 165 km in 1.5 hours.
The ratio of distance covered to the number of hours is 165/1.5.
Let's say in 2.2-hour train travel x number of km.
The ratio of distance covered to the number of hours x/2.2
Both ratios must be the same,
x/2.2 = 165/1.5
x = 110 x 2.2 = 242 km
Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".
For more information about ratios and proportions,
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In standard form 0.0325 is written as?
Answer:
In standard form 0.0325 is written as 0.0325
In scientific notation it is written as:
[tex]3.25^{ - 2} [/tex]
The standard form of 0.0325 is written as
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Given:
0.0325
Writing in standard form means writing in scientific notation (power of be 10)
When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.0.0325
The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2
Therefore,
0.0325
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Read more:
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You are given a various set of values: xbar = 12 ybar = 16 r = .46 Sy = 18 Sx = 6 Find a and b, then write them as an equation for a line. b = a = yhat =
Answer:
Slope, b = 1.38 ; intercept, a = - 0.56 ;
Y = - 0.56 + 1.38x
Step-by-step explanation:
Given that :
xbar = 12
ybar = 16
r = .46
Sy = 18
Sx = 6
The equation of a line can be expressed as :
Y = a + bx
Where ;
a = intercept ; b = slope ; x = independent variable ; y = dependent variable
The slope b ; can be obtained using the relation :
b = r(Sy / Sx)
= 0.46(18/6)
= 0.46(3)
= 1.38
The intercept a, can be obtained using the relation :
Ybar - b(Xbar)
16 - 1.38(12)
16 - 16.56
a = - 0.56
Hence ;
Slope, b = 1.38 ; intercept, a = - 0.56
Th equation of the line will be :
Y = - 0.56 + 1.38x
PLZ HELP I WILL GIVE 20 POINTS WHOEVER ANSWERS FIRST:
Answer:
-2
Step-by-step explanation:
So to find slope you just subtract y^1 - y^2 and divide it by x^1 - x^2
The first point is (2, 1)
The second is (0, 5)
1 is our y^1 and 5 is our y^2
1 - 5 = -4
2 is our x^1 and 0 is our x^2
2 - 0 = 2
So our slope is -4/2, reduced its -2
I hope this helped, please mark Brainliest, thank you!
Here is the other question
Part A and B are done
A. Lesson
1. Describe the formula for slope in words and with an equation.
M=y^2-y^1/x^2-x^1
1. What is the slope of all horizontal lines? What is the slope of all vertical lines?
The slope of all horizontal lines is 0. The slope of all vertical lines is undefined.
B. Lesson Content
3. Copy and paste the 3-step procedure for finding the slope using the formula.
4. Use Example 3 as your model for the following: In the 2000 census, the population was 8000; in the 2010 census, the population was 7500. Find the rate of growth for the town. Show the 3-step procedure, as well as the final answer in words.
A(200(x1), 8000(y1)) and B(2010(x2), 7500(y2))
M=(y2-y1)(x1-x2)=7500-8000/2010-2000
M=-50=50 people per year decrease
C. Write the slope-intercept (y = mx + b) form of the equation from the information given. Show your steps as done in the lesson content to earn credit.
Answer:
Step-by-step explanation:
Slope is m
in this case slope is -50
b is the y-int,
in this case the y-int is 8000
so your equation: y = -50x + 8000
is the product of 8 negative numbers and 7 positive numbers a positive number or a negative number?
Answer:
negative
Step-by-step explanation:
Positive numbers do not change the polarity of a number in multiplication, only negative numbers.
PLEASE ANSWER ASAP!!!
line g has and undefined slope. If line k contains the point (-6,3) and is parallel to line g, what are the x-coordinates of the other points that lie on the line?
Answer:
-6 is the x-coordinate value
Step-by-step explanation:
Mathematically, slope can be calculated as;
m = (y2-y1)/(x2-x1)
For the value of the slope to be undefined, it means that we are actually dividing by zero
For us to be dividing by zero, it actually means that there is no change in the x-value
The unchanging x-value is what has caused us to have an undefined slope value
Since line k and line g are parallel, their slopes are equal and the slope of k is undefined too
So the x-coordinates of the other points that lie on the line that we used in calculating the slope is -6
can someone help me please
Answer:
6 (x)
Step-by-step explanation:
Solve the following formula for
x
y=2mx+3b
Answer:
X=2m+3b/y. I th ink that the answer.
what is the square root of 199 lie between
Hi!
I'm assuming the question means what integers, so let's figure it out.
Starting from 12, 12 squared is 144, or the square root of 144 is 12.
13 squared is 169, or the square root of 169 is 13.
14 squared is 196, or the square root of 196 is 14.
15 squared is 225, or the square root of 225 is 15.
Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.
You have $20 to spend on taxi fare. The ride costs 5 plus $2.50dollar sign, per kilometer.
Write an inequality to determine the distance in kilometers, , you can ride for $20.
Answer: The maximum distance is 6 km
Step-by-step explanation:Let
d-----> represent the distance in kilometer
we know that
------> inequality that represent the situation
Solve for d
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?
A. There is a probability that the outcome is within 1 standard deviation of the mean.
B. There is a probability that the outcome is within 3 standard deviations of the mean.
C. There is a probability that the outcome is within 2 standard deviations of the mean.
D. Standard deviations are not reliable, so the probability cannot be determined.
Answer:
The correct answer is B or option 2.
Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days
Answer:
B
Step-by-step explanation:
Paul: 54.6/18.2= 3 days
Ryan: 81.6/20.4= 4 days
Answer:
B. 1 day
Step-by-step explanation:
First, we need to find how many days each person practiced for:
Paul- 54.6 ÷ 18.2 = 3
Ryan- 81.6 ÷ 20.4 = 4
4 - 3 = 1, so B is the answer.
I hope this helped, please mark Brainliest, thank you!
On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros
Answer:
sry
Step-by-step explanation:
i am new to this
174 i think
Answer:
174
Step-by-step explanation:
HELPP PLEASE !!!!!!!!! ASAP
Answer:
x² + 5x + 6 = 0
Step-by-step explanation:
The zeros of quadratic function is (- 3) and (- 2)
The coordinates of vertex are (- 2.5, -0.25)
(x + 3)(x + 2) = 0
x² + 5x + 6 = 0
Which of the following relations is a function?
OA. (9,-10).(-8, 7), (9,6), (-8, 12)
OB. (-8, 0), (-1,5). (-8, -3), (5,9)
OC. (-1,-2), (-8,-5), (5,8). (5,2)
OD. (-8,2).(-1,3), (5,7), (9,2)
HELP PLEASE ASAP
Solve for x in the diagram below
Answer:
29
Step-by-step explanation:
(x+12) + 100 + x = 180
2x + 112 = 180
Subtract 112 from both sides
2x = 58
Divide 2 from both sides
x = 29
Please help much appreciate!
Suppose 15% of x equals 20% of y. What percentage of x is y ?
Answer:
x = [tex]133\frac{1}{3}[/tex] of y
Step-by-step explanation:
Given:
15% of x equals 20% of y
So,
0.15x = 0.20y
so
x = 0.20 y / 0.15
x = 1.3333y
x = [tex]133\frac{1}{3}[/tex] of y
Answer:
Step-by-step explanation:
What is the solution to this system of equations?
x+y= 6
x=y+4
Answer:
5,1
Step-by-step explanation:
mark brain if right
A line has the equation y = 1/3x - 5 . Find the equation of a parallel line passing through the point (3, 2).
Answer: y=1/3x+1
Y needs to be changed in order to maintain parallelism.
Good Luck!
Answer:
The answer is y=1/3x+1
Step-by-step explanation:
y=mx+b
m=1/3
y-y=m(x-x1)
y-2=1/3(x-3)
y-2= 1/3x-1
+2 +2
y=1/3x+1
Plssss help 30 point!!!
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.
Answer:
A) 2
B)109
c) 4
d)71
I'm a hundred percent sure
Step-by-step explanation:
Draw the Venn diagram
Can you also help me with this one?
OMGGG CAN YALL ANSWER THIS !
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?
Answer:
m
Step-by-step explanation:
m
Answer:
There were 140 robberies in Springfield in 2012.
Step-by-step explanation:
Let's marked (named) robberies in 2012 with x, which is worth 100%
196 robberies in 2013 worth 100% + 40% = 140%
Now we will make proportion
x : 196 = 100 : 140
When we multiply external and internal members we get
140 x = 196 · 100 => 140 x = 19600 => x = 19600/140 = 140
x = 140 robberies in 2012
The x-axis is the ? Axis
The y-axis is the ? Axis
Another name for the point 0,0 is the ?
Answer:
The x-axis is the HORIZONTAL axis (left to right)
The y-axis the VERTICAL axis ( up and down)
Another name for the point (0 , 0) is the ORIGIN
Express your answer in scientific notation. 5.4×10^5 + 6.7×10^4
Answer:
The answer is 6.07 x 10^5
Step-by-step explanation:
Answer:
6.07 x 10^5
Step-by-step explanation:
khan
7. Constructed Response: Work and answer will be scored on a 3-point
rubric. A garden is bordered on three sides by a tiled walkway. (see
diagram below). PART A: Write a polynomial that represents the total area
of the garden AND the walkway combined, in standard form. *
Fence
x ft
x ft
Garden
10 ft
-25 ft
Walkway
x ft
Answer:
the answer is -25
Step-by-step explanation:
the answer is -25
Complete this item Simplify square root 32/5
Answer:
4√10
5
Step-by-step explanation:
Answer:
Sorry I know the answer but it won't let me type it the right way
Step-by-step explanation:
What is the slope of the line through (3,7) and (-1,4)
Answer:
[tex]m=\frac{3}{4}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (-1, 4)
Step 2: Solve for slope m
Substitute: [tex]m=\frac{4-7}{-1-3}[/tex]Subtract: [tex]m=\frac{-3}{-4}[/tex]Simplify: [tex]m=\frac{3}{4}[/tex]Answer:
4/3
Step-by-step explanation:
Use the formula rise/run. But first, if you plot this on a graph, (-1,4) will come first because its x value is smaller. So, for this, let's look at (-1,4) first.
To get from -1 to 3, you must rise 4 units. To get from 4 to 7, you must run 3 units.
So, if you put this together, you will get 4/3!
Hope I helped!!!!