Answer:
y - 1 = -3(x - 5)Step-by-step explanation:
An equation in point-slope form of the line that passes through the point (x₁,y₁) and has a slope of m:
y - y₁ = m(x - x₁)
m = -3
(5, 1) ⇒ x₁ = 5, y₁ = 1
Therefore:
y - 1 = -3(x - 5)
Michelle has four large storage chests in her basement. each storage chest has a base of 8 square feet. Three of the storage chests have a height of 2 feet and one storage has a height of 3 feet. What is the total volume, in cubic feet, of the four storage chests?
2g-g+h-1 when g=5 and h=0
Show your work
Please help me! I need this answered fast!
Answer:
3. B
4. D
hope this helps
The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
Answer:
(b) Probability that a student is male and attends concert = 22.95%
(c) Probability that a student is female and does not attend concert = 29.4%
(d) Probability that a student attends concerts = 42.55%
Step-by-step explanation:
P.S - The exact question is -
Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.
To find - (a) Make a tree diagram based on the information above.
(b) Find the probability that a student is male and attends
concerts.
(c) Find the probability that a student is female and does not
attend concerts.
(d) Find the probability that a student attends concerts.
Proof -
Let the total population of the high school = 100 x
Given that,
The students of a high school are 51% males
⇒Total males in the high school = 51% × 100 x
= [tex]\frac{51}{100}[/tex] × 100 x = 51 x
⇒Total males in the high school = 51 x
⇒Total females in the high school = 100 x - 51 x = 49 x
Now,
Given that,
Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
⇒Total number of males that attend the concert = 45% × 51 x
= [tex]\frac{45}{100}[/tex] × 51 x = 22.95 x
⇒Total number of males that attend the concert = 22.95 x
And
Total number of males that do not attend the concert = 51 x - 22.95 x
= 28.05 x
⇒Total number of males that do not attend the concert = 28.05 x
Also,
Total number of females that attend the concert = 40% × 49 x
= [tex]\frac{40}{100}[/tex] × 49 x = 19.6 x
⇒Total number of females that attend the concert = 19.6 x
And
Total number of females that do not attend the concert = 49 x - 19.6 x
= 29.4 x
⇒Total number of females that do not attend the concert = 29.4 x
(a)
The tree diagram is as follows :
(b)
Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %
= 22.95%
⇒Probability that a student is male and attends concert = 22.95%
(c)
Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%
= 29.4%
⇒Probability that a student is female and does not attend concert = 29.4%
(d)
Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%
= [tex]\frac{42.55}{100}[/tex] ×100%
= 42.55%
⇒Probability that a student attends concerts = 42.55%
Ellie works at a camp . Her age is a multiple of 6 and a multiple of 8 . What is the youngest age Ellie could be ?
Answer:
24
Step-by-step explanation:
Write down 6 and 8 on a piece of paper. Write down all the multiples of 6 (6, 12, 18...) and do the same for 8 (8, 16, 24). Stop at the 12th multiple. (For six it's 72, and for 8 it's 96. ) Go over all the multiples and see if there are any answers that are alike. (Sometimes there isn't any so keep the pattern going.) For this example, some multiples that they share are 24, 58, and 72. The one that is the lowest is 24. Ellie is 24.
Solve the right triangle. Round decimal answers to the nearest tenth. find the sides and angles
Answer:
b = 12.6
Step-by-step explanation:
a*2 + b*2 = c*2
6*2 + b*2 = 14*2
36 + b*2 = 196
Subtract 36 from both sides
36 + b*2 = 196
-36 -36
b*2 = 160
Find the square root of both
b = 12.64911064 or 12.6
You roll a die 10 times. Find the probabilities for how many times it will land on six. Write yiur answers in decimal form to 8 places.
P(0)= ____
P(1)= ____
P(2)= ____
P(3)= ____
P(4)= ____
P(5)= ____
P(6)= ____
P(7)= ____
P(8)= ____
P(9)= ____
P(10)= ____
What is the most likely number of times out of 10 rolls that the die will land on six? ____
Answer:
dont mind me
Step-by-step explanation:
A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?
Answer:
The red marbles.
Step-by-step explanation:
It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.
Given g(x)=-x-2g(x)=−x−2, find g(0)g(0).
Answer:
g(0) = -2
Step-by-step explanation:
Given - g(x) = -x - 2
To find - g(0)
Proof -
We have given the function ,
g(x) = -x - 2
For finding the value of g(0), we just have to put x = 0 in g(x),
We get
g(0) = -0 - 2 = -2
⇒g(0) = -2
Help, I wanna pass this iready lesson or im going to get yelled at.
Answer:
1/10 is the correct answer
Step-by-step explanation:
3/5=6/10
7/10-6/10=1/10
Answer:
1/10 hour
Step-by-step explanation:
7/10
convert 3/5 to 6/10 for same denominator
7/10 - 6/10 = 1/10
x+1/3=5
help plzzzzzzz
Answer:
x = 4 2/3
Step-by-step explanation:
x = 5 - 1/3
x = 4 2/3
Answer:
x = [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
Subtract [tex]\frac{1}{3}[/tex] from both sides
x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] = 5 - [tex]\frac{1}{3}[/tex]
x = [tex]\frac{14}{3}[/tex] or 4 [tex]\frac{2}{3}[/tex]
.H E L P.
choose the best selection for the quadrilateral with vertices at following points
0,0 -2,3 7,0 5,3
Answer:
The quadrilateral has two pairs of opposite parallel sides and (from the graphing of the points) it is slanted from the vertical, therefore, it is a;
B. Parallelogram
Step-by-step explanation:
The coordinates of the vertices of the given quadrilateral are;
(0, 0), (-2, 3), (7, 0), (5, 3)
Arranging the coordinates according to their y-values and labelled gives;
A(-2, 3), B(5, 3), C(0, 0), D(7, 0)
The graph of the points created with Microsoft Word and Microsoft Excel is attached
From the graph, we have;
Segment AB is parallel to segment CD
The length of segment AB = √((5 - (-2))² + (3 - 3)²) = 7
The length of segment CD = √((7 - 0)² + (0 - 0)²) = 7
∴ The length of segment AB = The length of segment CD
The distance between segment AC and segment BD = Length of segment AB at point A = Length of segment CD at point C
∴ Segment AC is parallel to segment BD (The distance between two parallel lines is the same all through)
The quadrilateral is also observed to be slant from the vertical
Therefore the quadrilateral is a parallelogram
Find the excluding values for the equations a^3+3a^2-10a/5a^3-20a
Answer:
a+5/5(a+2)
Step-by-step explanation:
sorry it took so long
An account earns simple interest. Find the missing value.
Interest Earned: $45
Principal: ?
Interest rate: 3%
Time: 2 years.
Answer:
2.7
Step-by-step explanation:
SI = (P*T*R)/100
P = 45$
R = 3 percent
T = 2 years
Now,
SI = (P*T*R)/100
= (45*2*3)/100
= 2.7$
If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)
Answer:
C
Step-by-step explanation:
The dilated point R' of the given point will be (-12,-24). The correct option is A.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-
The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.
( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )
( -2 , -4 ) ⇒ Dilated ( -12, -24 )
Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.
To know more about dilation follow
https://brainly.com/question/3457976
#SPJ2
A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
the perimeter of a square mat is 64 in. how long is each side?
Answer:
16
Step-by-step explanation:
4x16=64
being perimeter
The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of this function?
A. h(x) = (x + 2)2 + 5
B. h(x) = (x - 2)2 + 5
C. h(x) = (x + 5)2 + 2
D. h(x) = (x + 5)2 - 2
Answer:
A. [tex]h(x) = (x+2)^{2}+5[/tex]
Step-by-step explanation:
First, we need to defined the two transformations required to derive [tex]h(x)[/tex].
Vertical translation
[tex]n(x) = m(x) +k[/tex], [tex]k \in \mathbb{R}[/tex] (1)
Where:
[tex]k > 0[/tex], upwards.
[tex]k < 0[/tex], downwards.
Horizontal translation
[tex]n(x) = g(x+k)[/tex], [tex]k\in \mathbb{R}[/tex] (2)
Where:
[tex]k > 0[/tex], leftwards.
[tex]k < 0[/tex], rightwards.
Let [tex]f(x) = x^{2}[/tex], if [tex]h(x)[/tex] is translated 2 units left and 5 units up, then we have the resulting expression:
[tex]h(x) = (x+2)^{2}+5[/tex] (3)
Hence, correct answer is A.
Which equation represents a line that is parallel to the line represented by
4x + y = 7 and passes through the point (1, 8)?
Answer:
y = -4x + 12
Step-by-step explanation:
For a line to be parallel, it needs to have the same slope.
Point intercept form: y - y₁ = m (x - x₁)
Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.
So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..
4x + y = 7
y = -4x + 7
So, m, or the slope, is -4.
Plug this, along with the coordinate the problem gives you into point-intercept form.
y - y₁ = m (x - x₁)
y - 8 = -4 (x - 1)
Simplify.
y - 8 = -4x + 4
Add 8 to both sides.
y = -4x + 12
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.
Answer: 4.8 hours
Step-by-step explanation:
Given
The castle must be guarded 24 hr by 5 knights
If duty is split equally among them
No of hours spent by each knight on duty
[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]
Therefore, each guard must serve a duty of 4.8 hours
Please please please help *URGENT*
Answer:
1 = Communative property of addition
2 = distribution property
3 = Associative property of multiplacation
4 = Communative property of multiplacation
5 = Associative property of addition
Hope this helps! :) Please Ignore my bad spelling
Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!
Please Help! Solve the equation for x.
1/3x-8= -12
A. x= -12
B. x= -6
C. x= 4
D x= 6
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )
x - 24 = - 36 ( add 24 to both sides )
x = - 12 → A
What is 4x - 18 + 3y?
Answer:
4x + 3y − 18
Step-by-step explanation:
Simply 4x - 18 + 3y = 4x + 3y − 18
Simplify the expression.
30 - 7m + 5 + 16m
Answer:
[tex]35 + 9m[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](30 + 5) + ( - 7m + 16m)[/tex]
2) Simplify.
[tex]35 + 9m[/tex]
Therefor, the answer is 35 + 9m.
algebraic expression 5a² - 25b²
Answer: = 5 (a-5b)(a+b)
Step-by-step explanation:
= 5a² - 25b²
= 5 (a²-5b²)
= 5 (a-5b)(a+b)
A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?
% 22 si 66 olan sayının % 30 u kaçtır?
lütfen kağıt üzerinde yapın :-)
Answer is in the file below
tinyurl.com/wpazsebu
If you graphed this system, what would the solution be?
y=2x
y=−1x−6
Answer:
(-2, -4)
Step-by-step explanation:
[y = 2x, y = -x -6]
Solve by substitution:
-x - 6 = 2x
simplify
3x = -6
divide
x = -2
Plug back in one equation to solve for y coordinate:
y = 2(-2)
y = -4
(-2, -4)
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
someone answer the blank please :/
Answer:31
Step-by-step explanation:
Answer:
I could be wrong but I am pretty sure it's 32
Step-by-step explanation:
24 divided by 15 equals 1.6, so I think if you multiply the last number with 1.6 you get your answer.
