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:
There are 25 students in Ms. Nguyen’s second grade class. In the class election, 4 students Voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria.
What percent of the class voted for Maria
Answer:
36%
Step-by-step explanation:
Why is it impossible to represent a vertical line using the slope-intercept form and the point-slope form of a linear equation?
Answer:
Both equations include the slope, which is undefined for a vertical line.
Step-by-step explanation:
it just is lol
Please help I really need it I am in a timed test I will choose brainliest!
Write the standard form of the equation of a line with a slope of -4 passing through the point (1, -4).
Select one:
a. -4x - y = 0
b. -x - 4y - 15 = 0
c. x + 4y + 15 = 0
d. 4x + y = 0
I think the answer is a.
Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.
[tex]-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b[/tex]
Step 2: Now we write the equation in slope-intercept form.
[tex]y = -4x[/tex]
Step 3: We can now change the above equation to standard form by moving variables to one side.
[tex]y = -4x\\\\4x + y = 0[/tex]
Our answer is D. 4x + y = 0.
*Slope-intercept form: y = mx + b.
can somebody help me with this please.
I don't know what number 1 and number 2 mean,
3：11
4
5：-3
6：-8
You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.
whats the slope for (-2,4) and (10, -2)
Answer:
-1/2
Step-by-step explanation:
y2-y1 over x2-x1
-2-4 over 10+2
which equals -6/12
which simplifies to -1/2
Answer:
-1/2
Step-by-step explanation:
Slope formula- m = y2 - y1
x2 - x1
x1,y1
-2, 4
x2,y2
10,-2 -2 - 4
10 - (-2) = -6/12 = -1/2
Find the value of 4x2 – 2y when x = 3 and y = 2.
Answer:20
Step-by-step explanation:
4(3)2-2(2)
12(2)-4
24-4=20
Given ΔDEF : ΔRST, find x. 12 15 16 64
Answer:
12
Step-by-step explanation:
For ΔDEF similar to ΔRST, the value of x is 12. So, option a) is correct.
Two triangles are said to be similar if corresponding angles are equal or corresponding sides are in the same proportion.
Given triangles are similar:
ΔDEF ~ ΔRST
Therefore, using the property of similar triangle that corresponding sides of a similar triangle are in same proportion.
[tex]\dfrac{EF}{ST}=\dfrac{ED}{SR}\\\\\dfrac{x}{16}=\dfrac{3}{4}\\\\x=\dfrac{3}{4}\times 16\\\\x=12[/tex]
Thus, the value of x is 12. So, option a) is correct.
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Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each and controllers. the total amount that Thomas spent can be represented by c=13.50+p, where c is the total cost, g is the number of games he bought, and p is the cost of the controllers. the controllers cost $55 and Thomas spent $136 total
Answer:6 games
Step-by-step explanation:
Thomas spent a total of 136 dollars so you subtract 55 from 136 and divide by 13.50 to get 6.
In a company, 95% of the workers are men. If 125 people work for the company who aren't men , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
ill give you brainliesttttt
Based on the percentage of men workers in the company, the total number of workers is 2,500.
What is the percentage?The percentage is the fractional value of a variable concerning another.
Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).
Check:
Men workers = 95% = 2,375
Non-men workers = 5% = 125
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
Learn more about percentages at brainly.com/question/24877689
The total number of workers in the company is 2,500.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In a company, 95% of the workers are men.
125 people work for the company who aren't men.
We need to find number of workers working in the company.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
Men workers = 95% = 2,375
Non-men workers = 5% = 125
If 5% of the workers are 125
the total number of workers, 100% = 2,500 (125/5% x 100%).
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
Hence the total number of workers in the company is 2,500.
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can you help pls jhgyihjopk[[knbh
Answer:
The lower right table
Step-by-step explanation:
The table of that's the right answer consists of f(x) and x points that when plugged into the equation make the equation equal.
Let's go through each of the tables to check.
Upper Left Table:
(Remember that f(x) and y are interchangeable)
- Let's plug in the first paired set (0,6) into the equation
[tex]y = -2x + 6 \\6 = -2(0) + 6\\6 = 6[/tex]
So, this one seems right so far. It also let's us eliminate some answers!
The upper right and lower left tables can't be right because in order for the equation to be equal, f(x) has to be 6 when x equals 0
Let's plug more paired sets into the equation from the upper left table
[tex]y = -2x + 6\\10 = -2(2) + 6 \\10 = -4 + 6 \\10 = 2[/tex]
This doesn't work so let's check to see if the lower right table is correct!
[tex]y = -2x + 6 \\2 = -2(2) + 6\\2 = -4 + 6\\2 = 2[/tex]
Since the equation is equal, this has to be the right answer!
Hope this helps!!
- Kay
PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
Answer: A
Step-by-step explanation: e2020
Answer:
one
Step-by-step explanation:
Help me please ddddd
Answer:
ok what do you need help[on
Step-by-step explanation:
Answer:
a) Yes, 23/51 people in the neighborhood drive a van, with 23 being the highest owned number for any car type.
b) People in my neighborhood drive sports cars the least.
SUV is the second most driven car in my neighborhood.
c) The number of people that dress up for spirit week per gender in each grade.
someone please explain
Explain what? What would you like help with? :)
Answer:
whats ur question
Step-by-step explanation:
solve this one pleeaasssee
Answer:
the answer is c
Step-by-step explanation:
when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.
Which equation represents a line parallel to ?
A. 2x-4y=28
B. 4x+2y=10
C. 4x-2y=10
D. 2x+4y=10
Answer:
b
Step-by-step explanation:
4 2/3 miles in 3/4 hour
4/23 divided by 3/4 ?
NEED FAST ANSWERS !
Answer:
= 12 miles per hour
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
In a proportional relationship when x=9 we know that y=15. Which of the following is the value of y when x=24?
(1) 30 (3) 48 (2) 40 (4) 54
Answer:
y=40
Step-by-step explanation:
x y
9 15
24 y
9/24=15/y
24*15=9y
360=9y
40=y
Therefore, 40 is correct.
If x and y are proportional, when x=24 we get y=40. Therefore, option (3) is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, in a proportional relationship when x=9 we know that y=15.
If x is directly varies to y we get
x∝y
x=ky
Now, 9=15k
k=9/15
k=3/5
So, equation is x=3/5y
When x=24, we get
24=3/5y
24×5=3y
y=40
Therefore, option (3) is the correct answer.
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WUTS THE ANSWER IM SO LOST I NEED HELP!!! :(
1/6 = 0.16 acres in 8 minutes.
--
0.16 ÷ 8 = 0.02 acres mowed in 1 minute.
--
(60 minutes in an hour)
0.02 x 60 = 1.2 acres mowed in an hour.
--
1.2 is equal to 1 1/5, and jami needs to mow 1 1/2 acres. so no, jami cannot mow 1 1/2 acres in an hour.
What is the answer to this equation? -(x-10)=7
Answer:
x=3
Step-by-step explanation:
-(x-10)=7
-x+10=7
-x=-3
x=3
-(3-10)=7
This is actually really confusing please help me out.
Answer:
a ball bouncing off a wall
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!!!!
A wire 45 meters long is cut into two pieces, One piece is 5 meters longer than the other. What is the length of the two pieces? Create an equation and solve .
Given:
A wire 45 meters long is cut into two pieces
One piece is 5 meters longer than the other.
To find:
The length of the two pieces.
Solution:
Let length of one piece be x.
One piece is 5 meters longer than the other. So,
Length of another piece = x+5
Total length of wire is 45. So,
[tex]x+(x+5)=45[/tex]
[tex]2x+5=45[/tex]
Subtract 5 from both sides.
[tex]2x=45-5[/tex]
[tex]2x=40[/tex]
Divide both sides by 2.
[tex]x=\dfrac{40}{2}[/tex]
[tex]x=20[/tex]
Now,
Length of one piece = 20 meters
Length of another piece = 20 + 5
= 25 meters
Therefore, the length of two pieces are 20 and 25 meters.
Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is proportional to the number of packages delivered, how many packages would be delivered if there are 100 trucks avilable?
A 3.200 packages
B 1.800 packages
Answer:
A
Step-by-step explanation:
Find an equation for the line below in y=mx+b
Answer:
y = -1/2x - 11/2
Step-by-step explanation:
Using slope intercept form y = mx + b, to determine the equation, first count the rise(vertical or change in y), and run(horizontal or change in x) of the line.
m is the slope, b is the y-intercept which will remain when x is 0 as this will cancel out the m.
Be careful when determining the slope, and pay attention to the steps(count) of the x, and y axis.
As this graph measures a line with a negative slope passing through the y axis at -5 1/2 → -11/2, with a step of 1, we can count the squares normally to determine the slope.
So since we know that this line has two obvious points (-5,-3) and (1,-6) we can use the equation for slope to measure it's steepness.
m = y2-y1/x2-x1
with (x1,y1) being the first point, and (x2,y2) being the second point.
So: (negative minus a negative makes a positive)
m = -6-(-3)/1-(-5) = -6 + 3/ 1 + 5 = -3/6 = -1/2.
Since m = -1/2, and b = -11/2, the line must be y = -1/2x - 11/2.
Find the distance between the two points in simplest radical form.
(8, -3) (6, -8)
Answer:
[tex]d = \sqrt{29}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (8, -3)
Point (6, -8)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(6-8)^2+(-8+3)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-2)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{4+25}[/tex]Add: [tex]d = \sqrt{29}[/tex]A car with a mass of 500 kg is accelerating at 10 m/s². What is the force being applied the car’s engine?
Answer:
M=500kg
a=10m/s^2
By formular:
F=ma
F=500*10
F=5000N
simplify the expression: 3x + 5 + 7x=
The answer would be 10x + 5
Hello!
The answer is 10x + 5!
Hopefully this helps! <3 ^^
What is the constant of proportionality
Answer:
It is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
im having trouble figuring out what this question means |7| + -4=?
Answer:
3
Step-by-step explanation:
It means absolute value 7 plus -4
This means that if it were a -7, it would become positive because it is under absolute value bars...since it is positive nothing changes
7-4= 3
Plzz help!!!
What is the value of both these problems?
Problem 2
We have an isosceles triangle because of the two congruent sides (21 each).
The angles opposite the congruent sides are known as the base angles, and the base angles are congruent. For now, we don't know what they are. They are both x. I recommend writing 'x' onto the diagram where that missing unmarked angle is.
Then we'll use the idea that all three angles of any triangle always add to 180
x+x+38 = 180
2x+38 = 180
2x = 180-38
2x = 142
x = 142/2
x = 71
Answer: Choice A) 71=======================================================
Problem 3
We use the same ideas as the previous problem. This time the base angles are 56 degrees each. The remaining angle is x.
x+56+56 = 180
x+112 = 180
x = 180-112
x = 68
Answer: Choice A) 68