Answer:
its b.
Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
The price of a vase was increased by 10% to £22. What was the price before the increase?
Answer:
Step-by-step explanation:
Let the price of the vase before increase = x
110 % of x = £ 22
[tex]\frac{110}{100}*x=22\\\\x=22*\frac{100}{110}\\\\x=2*10\\[/tex]
x = £ 20
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?
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
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
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:
Which function would represent the absolute value function that is equivalent to this piecewise function?
Answer:
5|x+2|-1
Step-by-step explanation:
Evidence is included
Sallie read an average of 1.5 books each week during the year. Part A: Write an equation that represents the amount of books that she read (y) per week (x). Part B: How many total books will Sallie read throughout the 52 week year?
Answer:
y=1.5x
78
Step-by-step explanation:
y=1.5x
y=1.5(52)
y=78
What is the value of y?
54"
A. 126°
B. 730
C. 63°
D. 540
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.
Evaluate f(4) if f(x) =
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
Please help... 12! - 9^3
Answer:
-729
Step-by-step explanation:
[tex]-9^3 = -9 x (-9) x (-9) =[/tex]
[tex]-9x(-9) = 81[/tex]
[tex]81x(-9)=-729[/tex]
What does 3 3/5 * 2 and 5/7 equal
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
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
Answer
the answer is (-3,-5)
Step-by-step explanation:
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.)
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%.
-p + 3/5a -1/10q + 1/9-1/9p+2 1/3p
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].
IS MY ANSWER CORRECT IS IT A? Please help!!!
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!
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
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
Find m∠QPR..........
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°.
For the pair of vectors, find U.V.
U=-2i
V=4i
Answer:
8
Step-by-step explanation:
If you want the dot product, here it is: (0)(0) + (-2i)(4i) = 8
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
Answer:
B & C
Step-by-step explanation:
Help me ASAP for this question you have to pick more than one
Answer:
A) 56/x=85/100
C) 56=(0.85)w
Step-by-step explanation:
Sonce 56/.85=65.88, we look for the two that have that answer.
A) 56/x=85/100
cross multiply 5600=85x
divide by 85
x=65.88 - YES
B) p=(0.85)56=47.6 - NO
C) 56=(0.85)w
Divide both sides by 0.85=65.88 - YES
D) x/56=85/100
100x=4760=47.6 - NO
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 = ?
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
PLEASE HELP! 10 POINTS Which relation is not a function?
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.
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 6.7
B. 7.5
C. 3
D. 12
=================================================
Work Shown:
Use the geometric mean formula to find that BD = 6
BD = geometric mean of AD and DC
BD = sqrt(AD*DC)
BD = sqrt(12*3)
BD = 6
Then use the pythagorean theorem to find the missing side for triangle BCD
a^2+b^2 = c^2
(CD)^2 + (BD)^2 = (BC)^2
3^2 + 6^2 = m^2
m^2 = 45
m = sqrt(45)
m = 6.70820393249937 approximately
m = 6.7 after rounding to one decimal place
Help need please!!!
Need help please thanks guys!
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
Answer:
the answrr is option a 9
What is the distance, in units, between P=(−6,8) and Q=(9,8)?
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
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).
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.
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?
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]
By what least number should 336 be divided with to get a perfect cube.( please include steps)
Find what x equals: |3x–1|=4
Answer:
x = 5/3 x = -1
Step-by-step explanation:
|3x–1|=4
The solution to an absolute value equation has a positive and a negative solution
3x-1 =4 3x-1 = -4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x =5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x = -1
Answer:
x=1 2/3,x=-1
Step-by-step explanation:
There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3
The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1
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
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: