Answer: 90 x 4 x 1
Step-by-step explanation:
90 x 4 x 1 = 360
Please thank and rate <3
Answer:
360
Step-by-step explanation:
2³x3²x5
Please thank you and rate
A farmer has 20 boxes of eggs
there are 6 eggs in each box
write as a ratio, the number of eggs in two boxes to the total number of eggs
Give your answer in its simplest form
Answer:
1 : 10 is the answer.
Step-by-step explanation:
Total number of eggs in 2 boxes = 6 x 2 = 12
Total number of eggs in 20 boxes = 120
12 : 120
1 : 10
Answer:
1:6
Step-by-step explanation:
13. What is the length of the missing side, x?
40 in.
51°
35 in.
49 in.
74°
55°
X
For the given triangles the length of the missing side x is 56in.
As given in the question,
Two triangles are given ,
Let the triangle with measurement 40in. and 35in. be A and another is B.
In triangle A,
Let missing angle be α
Sum of all the angles in the interior of a triangle is equal to 180°
51°+ 74° + α = 180°
⇒α = 55°
In triangle B.
Let missing angle be β,
74° + 55° + β = 180°
⇒β= 51°
By AAA both the triangles are similar.
Length of corresponding sides are in proportion.
40: x = 35 : 49
⇒x = ( 40×49)/35
⇒x= 56in.
Therefore, for the given triangles the length of the missing side x=56in.
Learn more about length here
brainly.com/question/8552546
#SPJ1
if a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 17 feet, what angle does the ramp make with the ground? round to 2 decimal places.
The angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.
What is trigonometry?
The study of the relationship between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry". Therefore, employing trigonometric formulas, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.
Given, the length of the ramp = h = 17 feet
Height at which ramp is placed on truck = p = 4 feet
Let the angle that the ramp makes with the ground = ∅
Taking the length and height of ramp as basis, on assuming a right triangle with the length as hypotenuse and the height as perpendicular, we have:
sin ∅ = Perpendicular/Hypotenuse = h / p = 17/4 = 4.25
⇒ ∅ = sin⁻¹ (4.25) ⇒ ∅ = 10.48°
Thus, the angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.
To learn more about trigonometry, tap on the link below:
https://brainly.com/question/13729598
#SPJ4
T
4) a) On the grid, draw
the line y = 3
b) On the grid, draw
the line x = -2
6
5
4
-3-
2
1-
-3 -2 -1 0
-1-
-2
1
2
3
4
5
Fe
Be
1.
2.
3
4
Answer:
Step-by-step explanation:
Which equation show the relationship between the number of
hours, x, and the number of dogs groomed, y?
y = 15x
y = 5x
y = 30x
y=3x
The relation that can be formed by obersving the Cartesian Plane is y = 5x
What is Co-ordinate Geometry?
The study of geometry using coordinate points is known as coordinate geometry (or analytic geometry). It is possible to estimate the distance between two points, divide lines in a m:n ratio, identify the midpoint of a line, calculate the area of a triangle in the Cartesian plane, and so on using coordinate geometry.
Solution:
By analysing the given Cartesian Plane
it can be observed that the rate of change of y with respect to x
is 5 times
Therefore, the relation that can be formed by obersving the Cartesian Plane is y = 5x
To learn more about Co-ordinate Geometry from the given link
https://brainly.com/question/25042607
#SPJ1
When f(x) equals X -7/2, what is the value of (F•F^-1) (3)
The value of [tex]f.f^{-1}(x)[/tex] is 3 from the given function.
The given function is f(x)=x-7/2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The inverse of the given function is
y=x-7/2
Replace y with x and x with y, we get
x=y-7/2
y=x+7/2
[tex]f^{-1}(x)[/tex]=x+7/2
When x=3
[tex]f^{-1}(3)=3+7/2[/tex]
=6.5
f(6.5)=6.5-7/2
=6.5-3.5
=3
Therefore, the value of [tex]f.f^{-1}(x)[/tex] is 3 from the given function.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
The short word problem that illustrates the given equation is seen below. The value of the variable is 9.
Expression of the algebraic equation into word problems:Linear algebra equations are equations that can be expressed in word problems and these equations can be used to solve real-life scenarios. These algebraic equations are designed by the application of the desired set of variables with its arithmetic operations.
A.
In a food factory, Eighteen fried chickens are added to the six times the number of food plates is seventy-two. How much-fried chicken goes into each food plate?
B.
6x + 18 = 72
Subtract 18 from both sides;
6x + 18 - 18 = 72 - 18
6x = 54
Divide both sides by 6.
6x/6 = 54/6
x = 9
C.
The value of the variable is 9, and according to the example we used, it represents the number of chickens that goes into each plate of food.
Learn more about algebra equations here:
https://brainly.com/question/22688504
#SPJ1
Find the equation of the vertical line that passes through point M(−2, 6)
The equation for the vertical line that goes through point M(−2, 6) is x = -2.
Answer:
The equation of a straight line is:
y = mx + b;
y, x are variables, m is the slope of the line and b is the y intercept.
The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:
x = -2
What is the m
9.4
m
15.1
K
Step-by-step explanation:
imagine a circle with J being the center, and JK being the radius.
then
sin(J) = 15.1/JK
cos(J) = 9.4/JK
we have one trigonometric function, where we don't need to calculate JK first : tangent.
tan(J) = sin(J)/cos(J) = 15.1/JK / 9.4/JK = 15.1/9.4 =
= 1.606382978...
J = 58.09705252...° ≈ 58.1°
Expand & simplify: (7-3x)(2x-4)(x+1)
how many ways are there to put $4$ balls into $3$ boxes, given that the balls are not distinguished and neither are the boxes?
Answer:
Step-by-step explanation:
think that there are 15 ways ... call the boxes A, B, and C.
You could put all four b***s into either box A, or box B, or box C ---> 3 ways.
You could put three ball into one box and the other ball into another box:
-- 3 into A, 1 into B, 0 into C; or 3 into A, 0 into B, 1 into C; or 1 into A, 3 into B, 0 into C; or 1 into A, 0 into B, 3 into C; or 0 into A, 3 into B, 1 into C; or 0 into A, 1 into B, 3 into C ---> 6 ways
You could put two balls into one box and the other two balls into another box:
-- 2 into A, 2 into B, 0 into C; or 2 into A, 0 into B, 2 into C; or 0 into A, 2 into B, 2 into C ---> 3 ways.
You could put two b***s into one box and one ball into each of the other two boxes:
-- There are three boxes that could get the two b***s ---> 3 ways
Total: 3 + 6 + 3 + 3 = 15 ways.
If the sum of the first 3n positive integers is 150 more than the sum of the first n positive integers, then what is the sum of the first 4n positive integers?
Answer: 300
Step-by-step explanation:
[tex]\sum^{3n}_{k=1} k=\frac{3n(3n+1)}{2}\\\\\sum^{n}_{k=1} k=\frac{n(n+1)}{2}\\\\\therefore \frac{3n(3n+1)}{2}-150=\frac{n(n+1)}{2}\\\\3n(3n+1)-300=n(n+1)\\\\9n^2 +3n-300=n^2 +n\\\\8n^2 +2n-300=0\\\\4n^2 +n-150=0\\\\(n-6)(4n+25)=0\\\\n > 0 \implies n=6\\\\\therefore 4n=24\\\\\implies \sum^{4n}_{k=1} k=\sum^{24}_{k=1} k=\frac{24(25)}{2}=300[/tex]
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $60 for every hour they work. If the plumber charges Jerald a total of $305, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
35x + 60 = 305; x = 7 hours
35x − 60 = 305; x = 10.4 hours
60x + 35 = 305; x = 4.5 hours
60x − 35 = 305; x = 5.7 hours
Answer:
60x + 35; x = 4.5 hours
(x is not actually equal to 4.5, it is equal to 4.67)
Step-by-step explanation:
The description says that the plumber charges a one time fee of 35 dollars to come to someones house, and then 60 dollars an hour. The total pay is 305 dollars. x will be the number of hours that the plumber works.
60x + 35 = 305
Subtract 35 from both sides: 60x = 280
Divide by 60: x = 280/60
Simplify: x=14/3
Fraction to decimal: x=4.67
Answer: C (60x + 35 = 305; x = 4.5 hours)
It's right trust me! Wish you luck!
Brainliest?
the price of a car was increased by 4% to £22 what was the price before
13.80
Step-by-step explanation:
22 - 4% is your answer
which answer is an example of volunteer sampling? responses asking every fifth person their age asking every fifth person their age counting everyone who attends a game counting everyone who attends a game submitting an online survey submitting an online survey asking your neighbors if they approve of the mayor
Submitting an online survey is one example of volunteer sampling.
What exactly does volunteer sampling imply?When researchers look for volunteers to participate in studies, they use voluntary sampling. Volunteers can be recruited in person, online, through public postings, and through a variety of other means. When using voluntary sampling, a researcher usually makes little effort to control the sample composition.
The customer satisfaction survey is a common form of voluntary sampling. When a company provides a service or a product, it frequently asks customers to rate their satisfaction. The sample is voluntary and biased because the company asks all customers to volunteer their opinions.
Researchers in academia frequently seek volunteer samples by asking students to participate in research or by looking for people in the community. Volunteer samples are used for a variety of different types of research because they are inexpensive.
To know more about volunteer sampling, visit:
https://brainly.com/question/2648569
#SPJ4
A line is subdivided according to the golden ratio, with a smaller piece having a length of 5 meters. What is the length of the entire line?
The length of the entire line which is subdivided according to golden ratio is 13.09 meters.
What is Golden Ratio?
The golden ratio is a special number approximately equal to 1.618
We find the golden ratio when we divide a line into two parts so that, the whole length divided by the long part is also equal to the long part divided by the short part
Let smaller part of a line be b and long part be a
Golden ratio = a + b/a = a/b = 1.618
According to the given question:
Length of smaller part of line = 5 meters
Let the longer length of the line be x
∴ Total length of line = 5 + x
Using Golden ratio to find the entire length of line
x/5 = 1.618
x = 8.09
Calculating length of entire line = 5 + x = 5 + 8.09 = 13.09
∴ Length of entire line is 13.09 meters
To know more about Golden Ratio visit
https://brainly.com/question/27915841
#SPJ4
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
t =2.45s
Step-by-step explanation:
H=-16t2+96t
then, -16t2= -96t
divide both sides by 16
-16t2/16 = -96t/16
-t2 = -6
t2=6
t=√6
t=2.45
Use the "Insert Line" Tool to construct the line
showing the given distance. If you need to extend
the line outside the shape, use a dotted line.
(100 points for brainliest answer)
The distance from B to AC can be constructed as shown in the figure.
The distance from G to EF can be constructed as shown in the figure.
The distance from Q to SR can be constructed as shown in the figure.
What is the distance of a line from a point?
A point-to-line distance is the shortest distance from a point to any point on an infinite line. This is the perpendicular distance from the point to the line and the length of the line segment connecting the point to the nearest point on the line.
For the figure 1, the distance from B to AC, will be the perpendicular line through point B on side AC, so side BD will be the distance.
For the figure 2, the distance from G to EF, will be the perpendicular line through point G on side EF, so side GH will be the distance.
For the figure 1, the distance from Q to SR, will be the perpendicular line through point Q on side SR, so side QT will be the distance.
To learn more about the distance of a line from a point, visit:
brainly.com/question/1597347
#SPJ13
PLEASE HELP ME !!!!!!!
Answer:ok
Step-by-step explanation:
Answer: 1/5 25/48
maybe?
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Sidney wants to take group fitness classes at a nearby gym, but needs to start by selecting a
membership plan. With the first membership plan, Sidney can pay $36 per month, plus $2 for
each group class she attends. Alternately, she can get the second membership plan and pay
$35 per month plus $3 per class. If Sidney attends a certain number of classes in a month,
the two membership plans end up costing the same total amount. How many classes per
month is that? What is that total amount?
If Sidney attends
Submit
classes per month, each membership plan costs $
The system of equation to describe the situation below is x= 1.
What is equation?
an equation is a formula that is to expresses the equality of two expressions, by the connecting them with in the equals sign.
The process of equting one thing with another is called the equation of science with objective.
Sol- Based on the given condition-
The formulate is- 36+2x=35+3x
Rearrange variables to the left side of the equation
2x-3x=35-36
Combine like terms
-x= 35-36
Calculate the sum or difference
-x=-1
Devide both side of the equation by the coefficient of variable we get
X=1
To know more about equation click-
https://brainly.com/question/2972832
#SPJ13
What is x−16=−88? I don't know what it is
Answer:
x = -72
Step-by-step explanation:
So first you need to get x on its own, so you you need to get rid of -16 by adding +16 which you get 0.
so now x=-88
whatever you do on one side you do on the other, so add 16 to the other side (-88) so you get -72.
x = -72
so the answer is -72
Thank you <3
will mark brainliest
Find the x-intercept and the y-intercept of the graph of the equation.
4x + 5y = 20
The x-intercept is
The y-intercept is
(Type an integer.)
(Type an integer.)
The x-intercept and y-intercept of the graph is (5,0) and (0,4)
How to find the intercept ?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.
1. To find the x-intercept we put y=0
The equation becomes
4x + 5(0) = 20
4x = 20
x = [tex]\frac{20}{4}[/tex]
x = 5
∴ The x-intercept is (5,0)
2. To find the y-intercept we put x=0
The equation becomes
4(0) + 5y = 20
5y = 20
y = [tex]\frac{20}{5}[/tex]
y = 4
∴ The y-intercept is (0,4)
To learn more about finding the intercept from the given link
https://brainly.com/question/24990033
#SPJ1
which expression is equivalent to 2 over 5 x 2 over 28
answer:
look
step-by-step explanation:
over? you would have 2 ÷ (5 x 2) ÷ 28. in fraction form.
There are 14 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, Treasurer, and Secretary?
There are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
Permutation is the arrangement of objects in a specific order. It is the number of different ways in which a set of objects can be arranged in a specific order. The formula to calculate permutation is:
[tex]P(n, r) = n! / (n - r)![/tex]
Permutations are commonly used in mathematics, science, and engineering, and are useful for solving problems that involve counting the number of possible arrangements of objects or events.
We can use the formula for permutations to find the number of ways to choose the four officers from a group of 14 students.
The number of permutations of n objects taken r at a time is given by:
[tex]^nP_r = n! / (n - r)![/tex]
where n! denotes n factorial, which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
In this case, we want to choose 4 students from a group of 14, and the order in which they are chosen matters (since we are electing them to specific positions). So we have:
n = 14
r = 4
The number of ways to choose the four officers is therefore:
[tex]^1^4P_4 = 14! / (14 - 4)! = 14 \times 13 \times 12 \times 11 = 24,024[/tex]
Therefore, there are 24,024 different ways to choose a President, Vice President, Treasurer, and Secretary from a group of 14 students.
To know more about Permutation visit:
brainly.com/question/1216161
#SPJ1
Mason is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Mason will earn $30 every time one of his songs is played in a commercial and he will earn $80 every time one of his songs is played in a movie. Mason earned a total of $470 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Mason's songs were played. Define the variables that you use to write the system.
Answer:
Get the roundend answer to 10
Step-by-step explanation:
WORD PROBLEMS INVOLVING SIMULTANEOUS EQUATIONS:
The cost of a bottle of water is Rsx.
The cost of a bottle ofjuice is Rsy.
The total cost of 9 bottles of water and 3 bottles of juice is Rs 153.
The total cost of 6 bottles of water and 5 bottles of juice is Rs 147.
Find the cost of a bottle of water and the cost of a bottle of juice.
Step-by-step explanation:
9x + 3y = 153
6x + 5y = 147
the first equation can be divided by 3 and then multiplied by 2. and from that we can subtract equation 2 :
9x + 3y = 153 | /3
3x + y = 51 | ×2
6x + 2y = 102
- 6x + 5y = 147
-----------------------
0 -3y = -45
3y = 45
y = 15
3x + y = 51
3x + 15 = 51
3x = 36
x = 12
1 bottle of water costs Rs 12.
1 bottle of juice costs Rs 15.
What are the terms of this algebraic equations 3+6ab+c? 3,6ab 6ab,c 3,6ab, and c
The terms of the algebraic equation 3+6ab+c are (d) 3, 6ab and c
How to determine the terms of the equation?The algebraic equation is given as
3 + 6ab + c
Consider an equation represented as
x + y
The terms of the equation are x and y
Also, for an equation represented as
x + y + z;
The terms are x, y and z
Using the above as a guide, the terms of 3 + 6ab + c are 3, 6ab and c
Read more about algebraic equation at
https://brainly.com/question/4344214
#SPJ1
Please help with the unfilled spots! :)
The value of [tex](x_{1},y_{1})= (-9,-6)[/tex] and the value of [tex](x_{2},y_{2})= (-1,-12)[/tex],according to the question.
What do you mean by XY coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the data in the given question,
We have:
The coordinates of points A are (-9,-6).
The coordinates of points W are (-1,-12).
In this question,
[tex](x_{1},y_{1})= (-9,-6)[/tex]
[tex](x_{2},y_{2})= (-1,-12)[/tex]
Therefore, the value of [tex](x_{1},y_{1})= (-9,-6)[/tex] and the value of [tex](x_{2},y_{2})= (-1,-12)[/tex].
To learn more about x and y coordinates visit to the given link:
https://brainly.com/question/9675719?referrer=searchResults
#SPJ1
Which conversion factors are used to multiply to 12 m/s to get kilometers per minute?
Select each correct answer.
1min60 s
1 min over 60 s
60 s1 min
60 s over 1 min
1000 m1 km
1000 m over 1 km
1 km1000 m
PLEASE HELP
To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.
1000 m over 1km 1 min over 60 sWhat are Unit Conversion and Conversion Factors?Unit conversion is the expression of the same function in a new unit of measurement. Time, for example, can be stated in minutes rather than hours, and distance can be translated from miles to kilometers/feet, or another length measurement. A conversion factor is a numerical equation that allows for the equal conversion of feet to another dimensional analysis unit.
A conversion factor is a number that is used to multiply or divide one set of units into another. When converting to an equivalent value, the proper conversion factor must be utilized. For example, to translate inches to feet, the correct conversion value is 12 inches equals 1 foot. The converting value for minutes to hours is 60 minutes equals 1 hour.
From the information given:
To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.
The conversion factors are:
1000 m over 1km 1 min over 60 sLearn more about conversion factors here:
https://brainly.com/question/97386
#SPJ1
The equation is y=
Graph of f(x)= |x|
The equation from the given graph is y=-2/3 x²+5.
From the given graph the vertex is (h, k)=(0, 5).
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
Here, point on the given line from the graph is (3, -1)
Put (x, y)=(3, -1) and (h, k)=(0, 5) in y = a(x - h)² + k, we get
-1=a(3-0)²+5
⇒ 9a=-6
⇒ a=-2/3
Now, y=-2/3(x-0)²+5
y=-2/3 x²+5
Hence, the equation from the given graph is y=-2/3 x²+5.
To learn more about the quadratic function visit:
https://brainly.com/question/27918223.
#SPJ1