Answer:
X is just a variable.
Step-by-step explanation:
A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students
Answer:
65 adults and 70 students
The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
A sporting event held at a high school had 135 attendees.
In which adults and students are there .
Let adults be a
and students be s
Therefore,
The equation is
a + s = 135 ---------------------------(1)
Now,
The event earned a total of $930.
Admission to the event was $10 for adults and $4 for students.
i,e
10a + 4s = 930 ---------------------------(2)
Now , Using elimination method to solve both equations
a + s = 135 ---------------------------(1)
10a + 4s = $930 -------------------(2)
Step1: Multiplying equation 1 by 10
i,e
10a + 10s = 1350 -------------------(3)
Step2: Subtract equation (2) from (3)
10a + 10s = 1350 -------------------(3)
-10a - 4s = -930 -------------------(2)
6s = 420
s = 70
Now , Substituting the value of s in equation (1)
a + s = 135 ---------------------------(1)
a + 70 = 135
a = 65
Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
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Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.
Answer:
121 inches
Step-by-step explanation:
See the attached diagram. We can form a right triangle as shown. The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height. Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.
when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow?
Answer:
28.9 m
Step-by-step explanation:
First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.
We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that
cos(x) = adjacent / hypotenuse
cos(78°) = 6 / hypotenuse
divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse
hypotenuse = 6/cos(78°) ≈ 28.9 m
Rewrite the expression 3a^2b^3c^5 / 8x^4y^3z so that it has no denominator
x+2=-14x
do anyone know this need it for hw
Answer:
if you was asking for *solve for X* it is -2/15
Step-by-step explanation:
sorry if this dose not help
Write an expression for the volume of the figure as a polynomial in standard form. (multiple choice)
Answer:
3.
2x^3+10x^2+14x+6
Step-by-step explanation:
according to figure,
v=w•l•h
(2x+2)(x+1)(x+3)
=(2x+2)x(x+1)+3(X+1)
=(2x+2)(x^2+4x+3)
=2x(x^2+4x+3)+2(x^2+4x+3)
=2x^3+10x^2+14x+6
The volume of the figure as a polynomial in standard form is
V = 2x³ + 10x² + 14x + 6.
What is a cuboid?A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.
The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).
The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:
V = (2x +2)(x + 1)(x + 3)
V = (2x² + 2x +2x + 2)(x + 3)
V = (2x² + 4x + 2)(x + 3)
V = 2x³ + 6x² + 4x² + 12x + 2x + 6
V = 2x³ + 10x² + 14x + 6
Hence, the volume of the figure as a polynomial in standard form is
V = 2x³ + 10x² + 14x + 6.
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3x^4 + 9x^3 - 5x^2 - 14x - 7 divided by x + 3 using synthetic division
Answer:
[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]
or
3x^3 - 5x + 1
Remainder: -10
Step-by-step explanation:
Please see attached image for full explanation!
1.) Write the coefficient of each term.
2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)
3.) Add the product to the next coefficient and repeat until you get to the last number, -7.
4.) You should have the numbers 3, 0, -5, 1, and -10.
5.) Rewrite this quotient as an equation:
3x^3 - 5x + 1
Note that the highest power is 3, one less than that of the highest power in the original equation.
6.) Don't forget the remainder!
You can include this in the equation or not, depending on the instructions.
Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.
Let a and b stand for two different rational numbers. If |a|>|b|, then what else must be true?
its for imagine math
Answer:
dont now
Step-by-step explanation:
Y=2x,x+y=9 solve by substitution show work
Answer:
(3,6)
Step-by-step explanation:
y = 2x
x+y = 9
; x+(2x) = 9
3x = 9
x = 3
y = 2x
y = 2(3)
y = 6
Hello there here is the problem you gave us
[tex]y=2x,x+y=9[/tex]
You want to us to solve this by substitution,
_______________________
[tex]y=2x[/tex] [tex]x= \frac{1}{2}y[/tex]_______________________
we can substitute [tex]y[/tex] for [tex]2x[/tex] and get the equation
[tex]x+2x=9[/tex], do the simple algebra and we get that [tex]x=3[/tex], remember though [tex]y=2x[/tex], plug in the value that [tex]x=3[/tex] and get that [tex]y=6[/tex]
_______________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=3[/tex] [tex]y=6[/tex] Have a good day :) !The staff at Aretha's Furniture built 60 chairs and stools in one day. It takes one person 3 hours to produce a chair and 2hours to build a stool. How many of each were made if the staff of 12 people worked 8 hours each? x+y= 60; 3x + 2y = 96 x + y = 96; 2x + 3y = 60 You can use a system of equations to find the answer. Let x = the number of chairs, and y = the number of stools. x + y = 60; 2x + 3y = 12 x+y= 60; 3x + 2y = 12 +
Answer:
Number of chairs = 24
Number of stools = 12
As about the question number 2, I think you should check whether the question you copied is correct are not.
Step-by-step explanation:
1. One person,
Three hours for a chair and two hours for a stool
Therefore, 12 people working for 8 hours;
Per person produced two chairs and one stool as 3+3+2=8 hours
12×2= 24 chairs and 12×1=12 stools.
I need help again someone please help
G=45.89 gallons 46 gallons.
I hope this answers your question!
:)
[tex]\huge \dag \sf{Answer \: it}[/tex]
See the question below
Find n, if n is an integer.
[tex] \sqrt[3]{n + \sqrt{ {n}^{2} + 8 } }+ \sqrt[3]{n - \sqrt{ {n}^{2} + 8 } } = 8 \: [/tex]
Note: Don't spam and Don't copy from web
Need genuine answers
Don't answer if you don't know
Need answer with explanation
Best of luck guys.....
The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex].
Procedure - Determination of the root of radical functionIn this question we need to find the root of the radical function [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex], which must be simplified by algebraic means.
First, we need to elevate each side of the expression by third power:
[tex]\left(\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n+\sqrt{n^{2}+8}} \right)^{3} = 512[/tex]
[tex]2\cdot n + 3\cdot \sqrt[3]{(n+\sqrt{n^{2}+8})^{2}\cdot (n-\sqrt{n^{2}+8})} + 3\cdot \sqrt[3]{(n-\sqrt{n^{2}+8})^{2}\cdot (n+\sqrt{n^{2}+8})} = 512[/tex]
[tex]2\cdot n -6\cdot (\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n-\sqrt{n^{2}+8}}) = 512[/tex]
[tex]2\cdot n - 6\cdot (8) = 512[/tex]
[tex]n = 280[/tex]
The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex]. [tex]\blacksquare[/tex]
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In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?
Options are in the picture:
*Show work*
Answer:
(b)
Step-by-step explanation:
The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.
The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.
Answer:
The value of the 7 in the hundredth place is 10 times the value of the 7 in the thousandth place.
Step-by-step explanation:
Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged to 2,8 C is thrown at him and gets close enough to experience an electric field of 20 N/C. What is the electric force on the electroball from electroboy's electric field at this moment?
Answer:
static electricty
Step-by-step explanation:
it is preserved charge
Answer:
its electroboom not boy
Step-by-step explanation:
lol its static
what is the transformation of f(x)=- (x + 2)2- 4
Answer: x=0
Step-by-step explanation: f(x)=(x+2)x2-4
0=2x+4-4
0=2x
2x/2=0
0/2=0
x=0
у
(x, y) (?x, ?y)
A'
3-4-3-2-10
1
2
B
C
B
с
Answer:c
Step-by-step explanation:
anser :c
Half of the marbles in a box are red, a third are white, and the other 6 are blue. Find the probability of picking a marble that is not blue
The probability of picking a marble that is not blue is 5/6
The proportions of the balls are given as:
[tex]Red = \frac 12[/tex]
[tex]White = \frac 13[/tex]
[tex]Blue = 6[/tex]
The probability of picking a ball that is not blue is:
[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]
So, we have:
[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]
Rewrite the fractions as equivalent fractions
[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]
Take LCM
[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]
Add 3 and 2
[tex]P(Not\ Blue) = \frac {5}6[/tex]
Hence, the probability of picking a marble that is not blue is 5/6
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5q^2+15q+5=-6 what is the quadratic formula
Step-by-step explanation:
= −15 ± √5 = 10 the quadratic formula is:10
help pls!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Name:
Grade & Section:
Date Submitted: 12/14/2021
Advent: Use it
Christmas: Open gifts under the tree left by Santa
Ordinary Time:
Lent: Celebrate Jesus.
Paschal Triduum: The Proper day to Celebrate Jesus
Easter: It is a Holiday where you celebrate a bunny and get candy.
Step-by-step explanation:
So is what you do here is you enter your Name, Grade & Section, and Date which i've already given you. So your assignment is about how you will participate in the seasonal activity. So Advent looks like it would be a Advent Calendar.
Christmas You wanna open gifts
Now I left Ordinary Time blank because you need to put what time you would regularly open gifts or if you do not celebrate Christmas put what time you'd like to open gifts at.
Lent: is where you celebrate Jesus and what he did on his time being on Earth.
Paschal Triduum is basically the same as Lent but it is the proper day you celebrate Jesus Which starts April 13 & Ends Saturday, April 16
Easter: Is where you usually get candy but it is in a hunt form
1. An expressions equated to another expression is called _______.
2. If a = 5, the value of 2a + 5 is _______.
3. The sum of twice and four times of the variable x is ______.
need help ~
thx for answering~
Answer:
1:Cubic
2:5a and the value in the 2a is a exp.
3:Quintic
Step-by-step explanation:
Im sure this answer is correct
An expressions equated to another expression is called an equation
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given that a = 5, hence:
2a + 5
substituting values:
2(5) + 5 = 10 + 5 = 15
2a + 5 = 15
The sum of twice and four times of the variable x is 2x + 4x = 6x
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A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?
The original number of spoons is 958
Let the total number of spoon be x.
The first day, 25 spoons were removed.
So, the remaining spoon (r) is:
[tex]r =x -25[/tex]
15% of the remaining spoon were used.
So, we have:
[tex]15\% \times r =15\% \times (x -25)[/tex]
This 15% represents 140 spoons.
So, the equation becomes
[tex]15\% \times (x -25) = 140[/tex]
Express 15% as decimal
[tex]0.15 \times (x -25) = 140[/tex]
Divide both sides by 0.15
[tex](x -25) = 933[/tex]
Remove brackets
[tex]x -25 = 933[/tex]
Add 25 to both sides
[tex]x= 958[/tex]
Hence, the original number of spoons is 958
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in 3x + 2/3y - 15 < 0, the point (x,9) is a solution for the inequality shown. what is the possible value for x?
a: 2
b: 3
c: 4
d: 5
answer: 2
explanation:
if you plug in all of the numbers available for the equation and using 9 as a substitute for y, you'll see that it will either = 0 or be greater than 0
help please anybody which too are correct
the 1st and 2nd ones r correct
Step-by-step explanation:
hope this helps
2 x 3 2 x 7 = what Prime Factorization ?
A. 42
B. 84
C. 126
D. 252
Answer:
It's B
And Prime Factorization is when 2 numbers have the same answer.
Example: 3x8=24 and 4x6=24
Step-by-step explanation:
What is the perimeter of the inside of the track?
Answer:
Well add up the sides you can make the curving part into a full circle and calculate for the circumference.
So if the half of the circle straight part is 62 you times it by π. But π (pi) can be a fraction and a decimal: 22/7 or 3.14 although (pi) is 3.14 that is because after .14 there is ton of number so it constantly continues.
Method:
C = 2πr
or
C = πr
I hope this gives you a hint.
Answer:
394.68 m
Step-by-step explanation:
The 2 ends are half circles, so together they make a circle.
The diameter is 62 m, so the circumference is pi x diameter, or 3.14 x 62 = 194.68.
The top and bottom parts of the track are each 100 m, so add 2 of them = 200 m.
Add all 3 parts 194.68 + 200 = 394.68 m.
Please answer both please please I’ll give brainly
Answer:
4. 9
5. 5x
Step-by-step explanation:
its an isocoles
-0.5 (bar over 5) as a fraction simplified
Answer:
5/9
step by step follow up
If one plane is flying 40 mph and another plane is flying 100 mph, and they
are 200 miles apart and flying directly toward each other, in how long will the planes
meet2
Answer:
i think 60 miles
Step-by-step explanation:
I just added the 100+40 then
200-140
Answer:
1 3/7 hours
Step-by-step explanation:
The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...
time = distance/speed
time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h
The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.
the amount in Jamaican dollars one would get for US $200
200 US Dollar is 30837.86 Jamaican Dollar.
Graph the system of linear equations in desmos. identify the solution to the system of linear equations.
y=1/2x+5
2x+3y=-6
Answer:
Step-by-step explanation:
The solution is the point where the lines cross: (-6,2)
Youi can also solve the equations.
y=1/2x+5
2x+3y=-6
Use the first in the second equation to find x:
2x+3y=-6
2x+3[(1/2)x + 5]=-6
2x + 1.5x + 15 = -6
3.5x = -21
x = -6
Use this in either equation to find y:
y=1/2x+5
y=1/2[-6]+5
y = 2
The answer is (-6,2)