Answers
We will use the segment addition postulate.
PQ + QR = PR
4x - 1 + 3x - 1 = 54
7x - 2 = 54
7x = 56
x = 8
So QR is 3(8) - 1 or 24 - 1 which is 23.
Answer:
QR is 23
Step-by-step explanation:
PR = 54 Which means:(4x-1)+(3x-1)=54We can solve for x to find what QR is:7x-2 =54 7x=56x=8Plug in x for QR equation:3(8)-1 = 24-1=2323 is the answerRelated Questions
how do find the domain and range from a graph, and writing it as an inequality
Answers
To determine the range is the same as to determine which numbers appear as the second number (the y-value) in an ordered pair that is part of the graph.
Here are some examples:
y
≥
x
2
+
3
graph{y >= x^2+3 [-11.6, 13.72, 0.15, 12.81]}
Although it is not 100% certain from just the graph, this graph does get wider and wider. Every
x
does appear in some ordered pair on the graph. The domain is all real numbers.
The
y
values that appear start at
3
and go up. We get all numbers greater than or equal to
3
. Inequality:
y
≥
3
.
If you've learned interval notation, you write:
[
3
,
∞
)
x
2
+
y
2
9
≤
1
# graph{x^2 + y^2/9 <= 1 [-5.35, 7.14, -3.105, 3.14]}
Domain (x-values) Go from
−
1
to
1
(inequality:
−
1
≤
x
≤
1
)(interval:
[
−
1
,
1
]
)
Range:
−
3
to
3
(inequal:
−
3
≤
y
≤
3
(interval:
[
−
3
,
3
]
)
More challenging:
x
2
+
y
2
<
9
graph{x^2+y^2 < 9 [-5.35, 7.14, -3.105, 3.14]}
The dotted line is not included, so we do not include the points at
−
3
or at
3
.
Domain:
−
3
<
x
<
3
(interval
(
−
3
,
3
)
)
R
a
n
≥
:
-3(
∫
e
r
v
a
l
(-3, 3))
Last one:
x
−
y
2
<
6
graph{x- y^2 < 6 [-9.87, 30.68, -9.96, 10.32]}
Domain: all real numbers
Range: all real numbers
What are the odds of two people having the same birthday?
Answers
Answer:
In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching. Put down the calculator and pitchfork, I don't speak heresy.
Step-by-step explanation:
The cookie store had 187 cookie jars with 12 cookies in each cookie jar. How many cookies did the cookie store hav in all
Answers
(6x + 7)ºx (8r - 17)
Find the value of x.
O 10
O 11
O 12
O 13
Answers
A survey of 140 pet owners yielded the following information: 47 own fish; 53 own a bird; 50 own a cat; 68 own a dog; 2 own all four; 11 own only fish; 14 own only a bird; 10 own fish and a bird; 21 own fish and a cat; 26 own a bird and a dog; 29 own a cat and a dog; 3 own fish, a bird, a cat, and no dog; 1 owns fish, a bird, a dog, and no cat; 9 own fish, a cat, a dog, and no bird; and 10 own a bird, a cat, a dog, and no fish. How many of the surveyed pet owners have no fish, no birds, no cats, and no dogs? (They own other types of pets.)
Answers
Answer:
18
Step-by-step explanation:
This is venn diagram with 4 elements
Fish = n(F)
Bird = n(B)
Dog = n(D)
Cat = n(C)
The formula is given as
n (F ∪ B ∪ C ∪ D) - n(pet owners that have not fish, bird, cat or dogs) = n(F ) + n ( B ) + n (C) + n(D) - n ( F ∩ B) - n ( F ∩ C) - n ( F ∩ D) - n ( D ∩ B) - n ( D ∩ C) - n ( C ∩ B) + n(F ∩ D ∩ C) + n(F ∩ D ∩ B) + n(F ∩ C ∩ B) + n(D ∩ B ∩ C)- n (A ∩ B ∩ C ∩ D)
= 140 - n(pet owners that have not fish, bird, cat or dogs) = 47 + 53 + 50 + 68 - 21 -26 - 29- 10 - 2
140 - n = 218 - 88
140 - 218 - 88 +[(9 + 4 + 10) -(11 + 14)] = n
140 - 218 - 88 + (33 - 25)= n
140 - 130 + 8 = n
10 + 8 = n
What is 3/8-2 what does it equal
Answers
Answer:
the answer would be -1 5/8 in fraction form and -1.625 in decimal form
Answer:
-13/8
Step-by-step explanation:
2 = 16/8
3/8-16/8 = -13/8
If point p partitions line BA,what would be the part to whole ratio
Answers
Answer:
4 / 5
Step-by-step explanation:
From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:
Ratio = BP : PA = 4 : 1
Ratio = 4 : 1
The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5
Part to whole ratio = 4/5
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)
Answers
Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero
Answers
Answer:
A positive number or a number that is greater than zero
Step-by-step explanation:
Chen burns 354 calories in 1-hour swimming. He swam for 28 hours last month. How many calories did Chen burn in all last month from swimming?
Answers
Answer: he burned 9912 calories all last month
There are 48 empty seats and 52 occupied seats on an airplane. What is the ratio of the number of empty seats to the number of occupied seats?
Answers
Answer:
48/52
Step-by-step explanation:
Does anyone know how to figure this out? can you please explain it to me?
Answers
Answer:
x=108'
y=25'
Step-by-step explanation:
180 = 72+x
so,
x = 180-72
= 108'
x = 5y-17 ( but we know x is 108')
so 108 = 5y -17
108+17 = 5y
5y = 125
y = 25
Answer:
x = 108 degree
y = 25 degree
Step-by-step explanation:
You can use law of transversal to get these
The sum of three consecutive multiples of 4 is 444. Find these multiples.
Answers
Second multiple of 4 is x + 4 = 144 + 4 = 148
Third multiple of 4 is x + 8 = 144 + 8 = 152
Step-by-step explanation:
Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf x \: + \: x \: + \: 4 \: + \: x \: + \: 8 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: + \: 12 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 444 \: - \: 12 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 432 \\ \\ \\ [/tex]
[tex]:\implies \sf x \: = \: \dfrac{432}{3} \\ \\ \\ [/tex]
[tex]:\implies\underline{ \boxed{\sf x \: = \: 144}} \\ [/tex]
_________________Therefore,[tex]\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \\ [/tex]
[tex]\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \\ [/tex]
[tex]\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}[/tex]
1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
A. 1.9 X 10^18 kg
B. 2 x 10^18 kg
C. 1.9 x 10^27 kg
D. 2x 10^27 kg
Answers
Answer:
D. [tex] 2*10^{27} kg [/tex]
Step-by-step explanation:
Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg
Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")
To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.
We have 27 zeros there.
Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.
An estimate of the mass of Jupiter = [tex] 2*10^{27} kg [/tex]
Use the grouping method to factor the polynomial below completely.
x2 – 3x2 + 5x - 15
A. (x+3)(x - 5)
B. (x - 3)(x+5)
O C. (X - 5)(x+3)
O D. (2 + 5)(x-3)
Answers
Step-by-step explanation:
You can let me know, but i dont think -3x² is supposed to be squared in this question because then it would make it unsolvable.
5x-15
can be simplified to 5(x-3)
x²-3x
can be simplified to x(x-3)
Then u rewrite it (5 + x)(x - 3)
Perform the row operation 1/3R1 and replace R1 on the following matrix
[3 0 0|21]
[0 6 0|5]
[0 0 7|5]
Answers
Answer:
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Step-by-step explanation:
The given augmented matrix is
[tex]\left[\left.\begin{matrix}3 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}21\\ 5\\ 5\end{matrix}\right][/tex]
Here, we need to perform the row operation [tex]\dfrac{1}{3}R_1[/tex] and replace [tex]R_1[/tex] in the above matrix.
So, divide each element of [tex]R_1[/tex] in the given matrix and other elements remain same.
[tex]\left[\left.\begin{matrix}\dfrac{3}{3} & \dfrac{0}{3} & \dfrac{0}{3}\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}\dfrac{21}{3}\\ 5\\ 5\end{matrix}\right][/tex]
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Therefore, the required matrix is [tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex].
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. 18 cm 4 cm Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool? O 4.5 feet O 5 feet 06 feet 0 6.75 feet Wema
Answers
Answer:
B
Step-by-step explanation:
Can someone answer this pls?? FAST
Answers
Incorrect answers= 12•-1/2=-6
Answer= 3
A class of 128 students from civil, mechanical and electrical engineering backgrounds is divided into 2 sections (sections A and B). Section A contains of 18 civil engineers and a total of 50 students. Section B contains 44 mechanical engineers. There are a total 40 civil engineers and 60 mechanical engineers in the class. What is the probability that a random electrical engineering student is from section A
Answers
Answer:
The probability is 0.5714
Step-by-step explanation:
This is a probability question. We are interested in calculating the probability that a random electrical engineering student is from section A.
Mathematically the probability will be;
Number of electrical engineering students in section A/ Total number of electrical engineering students in both sections
Total number of electrical engineering students = 128 - 60 -40 = 28
Now let’s calculate the number of electrical students from section A
Number of mechanical and electrical = 50-18 = 32
Now, there are a total of 60 mechanical engineers and 44 in B; So the number of mechanical engineers in A = 60-44 = 16
So the number of electrical engineers in A = 32-16 = 16
So the probability will be;
16/28 = 4/7 = 0.5714
(-1/3)-(-9/5) to the lowest term
Answers
Answer:
Step-by-step explanation:
-1/3 + 9/5
-3/15 + 27/15
24/15 = 8/5 = 1 3/5
What is the answer PLEASEE
Answers
Answer:
[tex]3^{-4}[/tex]
Step-by-step explanation:
[tex]3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}[/tex]
PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST!!! :)
Answers
Answer:
3/50
Step-by-step explanation:
rise over run
3/50
Answer:
A. 3/50
Step-by-step explanation:
subtract the y values in the form where the first point is subracted from the second point: 460-310=150
subtract the x values in the form where the first point is subracted from the second point: 3500-1000= 2500
then put these numbers in fraction form: 150/2500
simplify: 3/50
5 ( 3 squared x) + 9 ( 3 squared x)
Answers
Answer:
42x^2
Step-by-step explanation:
[tex]5(3x^{2} )+9(3x^2)\\\\=(5+9)(3x^2)\\\\=14(3x^2)\\\\=42x^2[/tex]
11.
- 2x + y -z= 2
-x-3y + z = -10
3x + 6z= -24
Answers
What tranformatuon were applied
Answers
Answer:
180 counter clockwise............
what are strategies to find rational numbers
Answers
What is the distance between the following points?
Y
7
10-
9+
8+
7+
6+
5+
4+
3 |
2+
1+
+++++++
1 2 3 4 5 6 7
A++
-3-2
Answers
Answer:
+1 is the distanse of the following point
Place exactly three common mathematical operations between 1 2 3 4 5 6 7 8 9 to = 100. You can use the same operation up to three times, but are not allowed to re arrange the order of the digits
Answers
Answer:
- after 3 - after 5 and + after 7
Step-by-step explanation:
What is the value of x? (X+40)
Answers
-40
Step-by-step explanation:
at the moment your equation is x+40=0
you move the forty to the other side by subtraction and you get x= -40
Answer:
x=-40
Step-by-step explanation:
A box is 21 centimeters tall. How tall would the box measure in meters?
Answers
Answer:
0.21
Step-by-step explanation:
divide the length value by 100 21 centimeters in meters is 0.21
Answer:
0.21 its the k12 test.
Step-by-step explanation: