Answers
Answer:
Below
Step-by-step explanation:
51)
Let n be the first even number.
So the four consecutive even numbers are:
● n
● n+2
● n+4
●n+6
The smallest minus twice the larger is 4
● n-2(n+6)= 4
●n-2n-12 =4
● -n -12 =4
● -12 = 4+n
● -12-4 = n
● -16 = n
so the first even number is -16 and the largest one is -10
● -16+6= -10
■■■■■■■■■■■■■■■■■■■■■■■■■
Let m be the first integer
So the five consecutive integers are:
● m
● m+1
● m+2
● m+3
● m+4
The sum of this terms is 5.5 times the middle(m+2)
● m+m+1+m+2+m+3+m+4 = 5.5(m+2)
● 5m + 10 = 5.5 m +11
● -0.5 m = 1
●-m = 2
● m= -2
So the integers are;
● -2
● -1 (-2+1)
● 0
● 1
● 2
Related Questions
Fill in the missing values in the table for the quadratic function: f(x) = 1/3x^2+1
x f(x)
-6 13
-3 4
0 = ?
3 = ?
9 = ?
Answers
Answer:
[x] f(x)
[-6] 13
[-3] 4
[0] 1
[3] 4
[9] 28
Step-by-step explanation:
f(0) = (1/3)(0^2)+1 = 1
f(3) = (1/3)(3^2)+1 = 4
f(9) = (1/3)(9^2)+1 = 28
You spend 1/5 of your income on car payment. You spend 3/8 of the remainder of your income on rent. What fraction of income is spent on rent?
Answers
Answer:
3/10
Step-by-step explanation:
1/5 of total income - spent on car
remainder income = 4/5
3/8 of remainder = 3/8 ×4/5 = 3/10(of total income spent on rent)
the word "of" means you can find it by multiplication
e.g. 2 of 1/2 means 2 × 1/2 which is 1
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44
Answers
Answer:
21 and 67
21<x<67
Step-by-step explanation:
The smallest side with two sides of 23 and 44 must be more than 44-23=21
The largest side with two sides of 23 and 44 must be less than 44+23=67
So the range is between 21 and 67.
As an equation, it would be 21<x<67
Answer:
21 and 67
21<x<67
Step-by-step explanation:
Graph the image of this figure after a dilation with a scale factor of 1/3
centered at the origin.
Answers
Answer:
(-1,1), (1,3), (2,2)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 1/3 --> 1/3(x, y)
Before-> After dilation
1/3(-3,3) = (-1,1)
1/3(3,9) = (1,3)
1/3(6,6) = (2,2)
Please leave a 'thanks' if this helps!
2) Which of the following could be the equation
of the graph shown below?
Answers
Answer:
D
Step-by-step explanation:
From the graph, the solutions are x = -2 and x = 3, therefore, the equation must be (x - (-2)) * (x - 3) = (x + 2)(x - 3).
FIRST GETS BRAINLLEST If you spin the spinner below 100 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on #2 – 70 times B) Lands on #4 – 23 times C) Lands on #1 – 28 times D) Lands on #3 – 31 times
Answers
Answer:
B & C
Step-by-step explanation:
I have no clue. Somebody help plz!
Answers
Answer:
arithmetic, finite
Step-by-step explanation:
Each term is 1 more than the previous term, so there is a common difference of 1. That means the series is arithmetic.
The entire series consists of the 10 terms shown, so the series is finite.
_____
If each term were multiplied by some number to get the next, then it would be a geometric series. If it went on forever, it would be an infinite series.
Find m∠QPR..........
Answers
Hey there! :)
Answer:
m∠QPR = 25°.
Step-by-step explanation:
Given:
m∠QPS = 40°
m∠RPS = 8x + 7°
m∠QPR = 9x + 16°
m∠QPS = m∠RPS + m∠QPR, therefore:
40° = 8x + 7° + 9x + 16°
Combine like terms:
40° = 17x + 23°
Subtract 23° from both sides:
17° = 17x°
Divide both sides by 17:
x = 1°
If m∠QPR = 9x + 16°, substitute in 1 for 'x':
9(1) + 16 = 9 + 16 = 25°.
We need to find the value of x.
If R is on the interior of of <QPS, then m<QPR + m<RPS = m<QPS.
Now substitute the measures into the equation.
9x + 16 + 8x + 7 = 40.
Now combine like terms to get 17x + 23 = 40.
Now subtract 23 form both sides to get 17x = 17.
Now divide both sides by 17 to find that x = 1.
Now to find m<QPR which measures 9x + 16°, we can substitute in a 1.
So we have 9(1) + 16 which is 25.
So m<QPR is 25°.
A sheep breeding farm counted a total of 40 sheep on their grounds. After one year, the number of sheep doubled. Then in the next year, the number of sheep doubled again. If this trend continues, which of the following options represents the number of sheep on the farm by the end of each year?
Answers
Answer:
Step-by-step explanation:
It is comes under geometric sequence;
40 , 80 , 160 ,320 , ........
First term = a = 40
Common ratio = r = 2
nth term = [tex]ar^{n-1}\\[/tex]
Number of sheep on the farm by the end of each year = [tex]40*(2)^{n-1}\\[/tex]
IS MY ANSWER CORRECT IS IT A? Please help!!!
Answers
Answer:
Below
Step-by-step explanation:
● 2-a > -12+4
●2-a > -8
Substract 2 from both sides
● 2-a-2 > -8-2
● -a > -10
Multiply both sides by -1 and switch the sign
● a < 10
So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .
Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2
hope this helps!
What is the distance, in units, between P=(−6,8) and Q=(9,8)?
Answers
Answer:
15 units
Step-by-step explanation:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(9 - (-6))² + (8 - 8)²]
d = √[(15²) + (0²)]
d = √15²
d = 15
Answer:
15 units
Step-by-step explanation:
9-(-6) = 15
What does 3 3/5 * 2 and 5/7 equal
Answers
Answer:
8 and 8/35
Step-by-step explanation: simplify the equation hope this helps:)
Answer:
9 27/35
Step-by-step explanation:
3 3/5 * 2 5/7
Change each to an improper fraction
( 5*3 +3)/5 * ( 7*2+5)/7
18/5 * 19/7
342/35
Change back to a mixed number
35 goes into 342 9 times
342-315 = 27 with 27 left over
9 27/35
Prove that if a point in the interior of an angle is equidistant from the sides of the angle then it belongs to the angle bisector of the angle (Point on angle bisector converse theorem).
Answers
Answer:
Step-by-step explanation:
Given: <AOB and an interior point D.
Prove: a point, D, in the interior of an angle is equidistant from the sides of the angle, then it belongs to the angle bisector of the angle.
Join D to A and B, then;
OA ⊥ AD (right angle property)
OB ⊥ BD (right angle property)
AD = BD (angle bisector theorem)
<AOD = <BOD (congruent angle property)
ΔAOD = ΔBOD (congruence property of triangles)
Therefore, point D lies on the bisector of <AOB.
Which function would represent the absolute value function that is equivalent to this piecewise function?
Answers
Answer:
5|x+2|-1
Step-by-step explanation:
Evidence is included
What is the value of y?
54"
A. 126°
B. 730
C. 63°
D. 540
Answers
Answer: 63 degrees.
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
Therefore: 54 + y + y = 180
So 54 + 2y = 180
So 2y = 126
Therefore y = 63 degrees.
-p + 3/5a -1/10q + 1/9-1/9p+2 1/3p
Answers
Step-by-step explanation:
1.) first simplify or combine like terms.[tex]\frac{3a}{5} -p-\frac{p}{9}+\frac{7p}{3} -\frac{q}{10}+\frac{1}{9}[/tex]
2.) then condense. [tex]\frac{3a}{5} +\frac{11p}{9}-\frac{q}{10}+\frac{1}{9}[/tex].
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
If he chooses box A, what is the probability
he chooses a milk chocolate?
% (1 d.p.)
Answers
Answer:
26% or 10/39
Step-by-step explanation:
Since box A has 5 dark chocolates and 10 milk chocolates, there are 15 chocolates in all. Box B has 24 chocolates in total (12 milk, 12 dark). So there is a total of 39 chocolates in all.
There are 10 milk chocolates in Box A, so the probability of choosing any one milk chocolate out of the total 39 is 10/39 or in percentage, 26%.
Evaluate f(4) if f(x) =
Answers
Answer:
f(4) = 4
Step-by-step explanation:
We have x = 4 so we use the middle line of the piecewise function since 0≤x≤4
f(x) = x
f(4) = 4
Use the coordinates of the labeled point to find the point-slope equation of the line (0,3) (2,-1)
Answers
Answer:
y-3=-2(x+0)
Step-by-step explanation:
Answer: see below
Step-by-step explanation:
Use the slope (m) formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let (x₂, y₂) = (2, -1) and (x₁, y₁) = (0, 3)
[tex]m=\dfrac{-1-3}{2-0}=\dfrac{-4}{2}=-2[/tex]
Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (0, 3):
y - 3 = -2(x - 0) --> y - 3 = -2x
Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (2, -1):
y - (-1) = -2(x - 2) --> y + 1 = -2(x - 2)
For the pair of vectors, find U.V.
U=-2i
V=4i
Answers
Answer:
8
Step-by-step explanation:
If you want the dot product, here it is: (0)(0) + (-2i)(4i) = 8
Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC Urgent, need this immediately
Answers
Answer
the answer is (-3,-5)
Step-by-step explanation:
YS is the perpendicular bisector of x2. What is the length of ys?
O A. 9
O B. 12
O C. 18
O D. 8
Answers
Answer:
the answrr is option a 9
PLEASE HELP! 10 POINTS Which relation is not a function?
Answers
Answer:
The first relation is not a function.
Step-by-step explanation:
If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.
The first relation is not a function.
31
The ratio of dark chocolate can-
dies to white chocolate candies
is 3 to 2. What is the ratio of
white chocolate candies to the
total number of candies?
Answers
Answer: 2:3
Step-by-step explanation:
2:5,
3+2=5, which is the total amount,
2 is the number of white chocolate candies
PLEASE HELP! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answers
Answer:
The answer is D: the number of candies in a box.
Step-by-step explanation:
Answer:
D) number of candies in a box
Step-by-step explanation:
What is the y-intercept of line MN?
What is the equation of MN written in standard form?
Answers
Answer:
y-intercept of the line MN = 2
Standard form of the equation ⇒ x + y = 2
Step-by-step explanation:
Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)
Slope of a line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-0}{-3-2}[/tex]
= -1
Equation of the line MN passing through (-3, 5) and slope = -1,
y - 5 = (-1)(x + 3)
y - 5 = -x - 3
y = -x + 2
This equation is in the y-intercept form,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, y-intercept of the line MN = 2
Equation in the standard form,
x + y = 2
the first one is : -1
the second one is: y-5 = -1 ( x + 3)
the third one is: -x + 2
the first one to the right side is: 0,2
and the second one on the right side is: x+y=2
your welcome
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below: A histogram is shown with title Recycle Drive Collection. On the horizontal axis the title is Number of bottles. The title on the vertical axis is Students. The range on the horizontal axis is 0 to 5, 6 to 11, and 12 to 17. The values on the vertical axis are from 0 to 10 at intervals of 1. The bar for the first range is till 3, the bar for the second range is till 6, the bar for the third range is till 1. Help 50 points :0 Which information is not provided in the histogram? A : The total number of students who collected bottles B : The number of students who collected 6 or more bottles C :The number of students who collected exactly 4 bottles D :The total number of students who collected 12 or more bottles
Answers
Answer:
A) C
B) 47 inches
Step-by-step explanation:
A) The range on the horizontal axis is 0 to 5, we cannot tell how many students collected the exact number of bottles.
The correct option would be the number of students who collected exactly 4 bottles.
B) The mean of a data set is written as:
[tex]mean = \frac{sum \: of \: terms}{number \: of \: terms}[/tex]
[tex]mean=\frac{45+48+49+40+53}{5}[/tex]
[tex]mean=\frac{235}{5}[/tex]
[tex]mean=47[/tex]
The average height of the students is 47 inches.
Answer:
A & B
Step-by-step explanation:
Question 4 of 10
What do you know to be true about the values of p and q?
po
q"
60"
50"
30"
80°
A. p= 9
B. p< 9
C. p> 9
D. Can't be determined
Answers
Answer:
p > q
Step-by-step explanation:
We khow that the sum of a triangle's angles is 180°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's start with the triangle containing p
● p+60+50 = 180
● p+110 = 180
● p = 180-110
● p= 90°
So p is a right angle
□□□□□□□□□□□□□□□□□□
The second triangle
● q+ 80+30 = 180
● q+ 110 = 180
● q = 180-110
● q = 70°
Then q is also a right triangle
■■■■■■■■■■■■■■■■■■■■■■■■■
We can deduce that p > q
help me with this question ;<;
Answers
Let's set this up in equation form!
We know that 15 equals b and 8 together.
15 = b + 8
b = 7
The value of b that makes the equation true is 7.
Hope this helps!! :)
Help need please!!!