Answer:
218 adults and 104 children attended.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=322 (1)
8.75x+6y=2531.50 (2), where:
x is the number of adults
y is the number of children
First, you can solve for x in (1):
x=322-y (3)
Then, you can replace (3) in (2) and solve for y:
8.75(322-y)+6y=2531.50
2817.5-8.75y+6y=2531.50
2817.5-2531.50=8.75y-6y
286=2.75y
y=286/2.75
y=104
Finally, you can replace the value of y in (3) to find x:
x=322-104
x=218
According to this, the answer is that 218 adults and 104 children attended.
Jason's closet is 4
feet by 5 feet. He has
finished carpeting
half of the closet.
How much space is
left to carpet?
Answer:
10 feet
Step-by-step explanation:
I have to solve for x
The 3 angles of a triangle equal 180.
Subtract the bottom 2 angles from 180 and you get 50
So 8x + 2 = 50
Subtract 2 from both sides:
8x = 48
Divide both sides by 8
X = 6
14 points please HELP ME
Answer:
x=10 I am pretty sure
Step-by-step explanation:
Answer:
yh the answer is x=10
Step-by-step explanation:
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Define corresponding angles (in your own words please).
The length of a rectangle is 9 yd more than twice the width x. The area is 455 yd?.
Write an equation in terms of x that represents the given relationship.
Answer:
x * (2x + 9) = 455
Step-by-step explanation:
To express the width in terms of x, given information
x = width
The given information says the length is 9 more than 2 times the width. Length can be expressed in terms of x like this.
2x + 9 = length
The area of a rectangle is length x width, and the given area is 455.
x * (2x + 9) = 455 or 2x^2 + 9x = 455
The equation in terms of x of the area of the rectangle should be [tex]2x^2 + 9x = 455[/tex]
Given that
The length of the rectangle is 9 yards i.e. more than twice the width. i.e.. 2x + 9.And, the width is x.The area is 455 yards.The area of the rectangle is
= [tex]length \times breadth[/tex]
[tex](2x + 9( (x) =455 \\\\ 2x^2 + 9x = 455[/tex]
Therefore we can conclude that The equation in terms of x of the area of the rectangle should be [tex]2x^2 + 9x = 455[/tex]
Learn more about the rectangle here: brainly.com/question/16167300
The Function approximate the velocity (in feet per second) of an object dropped from a height of x feet
right before it hits the ground on Earth and on Mars.
Earth: E(X) = 8V
Mars: M(x) = 0.6(E(x))
What is the velocity of an object dropped from a height og 25 feet right before it hits the ground on
Mars?
Answer:
The answer to the question is
It take for the golf ball hit on Mars to reach the ground 8.284 s longer.
Step-by-step explanation:
To Solve the question, we note that the equation of motion is given to us as
h = -1.9·t² + 26·t
Therefore the height
We compare the above equation with the equation of of motion
S = ut - 0.5×g×t² where u = initial velocity = 26 m/s and - 0.5×g = -1.9
Therefore the acceleration due to gravity om mars = -1.9/-0.5 = 3.8 m/s²
We now have the time taken to maximum height given by
v = u - g·t where v = 0 at maximum height
We therefore have u = g·t → 26 = 3.8×t or t = 26/3.8 = 6.84 seconds
The time taken for ball to hit the ground is 2 × the time to reach maximum height = 2 × 6.84 = 13.684 s
The time longer it takes for the ball on Mars to complete the path up to maximum height and down again is 13.684 s - 5.4 s = 8.284 s.
What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?
Answer:
430Step-by-step explanation:
Given GP with:a1 = 10r = -2To findS7SolutionFormula of sum:
Sn = a1(r^n - 1)/(r - 1)Substitute values:
S7 = 10((-2)^7 - 1)/(-2 - 1) = 10(- 128 - 1)/(-3) = 10*129/3 = 430i need help in this question can someone help me
What number makes the equation true? Enter the answer in the box
Answer:
6
Explanation:
8 x 6 = 48
48 ÷ 6 = 8
Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?
Answer:
8x - 40 > 200
Step-by-step explanation:
From a distance of 43 feet from the base of a building the angle of elevation to the top of the
building is 64º. Estimate the height of the building to the nearest foot.
A) 21 feet
B) 39 feet
C) 88 feet
D) 19 feet
Answer: B 39 ft I think
Step-by-step explanation:
The perimeter of a certain pentagon is 10.5 centimeters. Four sides of this pentagon have the same
length, in centimeters, h, and the other side has a length of 1.7 centimeters, as shown below.
Match each of the expression in column 1 with an equivalent expression in column 2
Shawn is placing a fence around a circular garden with 15 foot diameter. How many feet of fencing will Shawn need to buy to enclosed the garden. Use 3.14 for π. Round the answer to the nearest foot
(A) 47 feet
(B) 48 feet
(C) 177 feet
(D) 707 feet
Answer:
47 feet
Step-by-step explanation:
Shawn is placing a fence around a circular garden with diameter of 15 foot
π = 3.14
Therefore the circumference can he calculated as follows
= π × diameter
= 3.14 × 15
= 47.1 feet
Hence the circumference to the beatesr tenth is 47 feet
Type the correct answer in each box,
For the sequence (-10,-5, 0, 5, 10, 15, 20,...), the index starts at 1,
In the sequence, the index of I Is 1. When n = 5, the corresponding term in the sequence is
Answer:
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Step-by-step explanation:
Step(i):-
Given sequence
-10,-5,0,5,10,15,20,.....
The first term = -10
The difference of two terms in the given sequence is equal
d = -5-(-10) = -5 + 10 = 5
d = 0 -(-5) = 5
The given sequence is in arithmetic progression
Step(ii):-
The [tex]n^{th}[/tex] sequence
[tex]a_{n} = a+(n-1) d[/tex]
aₙ = -10 +(n-1) 5
aₙ = -10 + 5n -5
aₙ = -15 +5n
Step(iii):-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
put n = 5
a₅ = -15 + 5(5) = -15 +25 = 10
Final answer:-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Answer:
The sequence starts with -10, and the index starts at 1. So, the index of -10 is 1.
n = 5 refers to the fifth term of the sequence, which is 10.
Step-by-step explanation:
Plato Answer
HOW DO YOU GRAPH USING LINER PROBLEMS
Answer:
You need to plot points onto the graph
Step-by-step explanation:
It takes only 2 points to draw a graph of a straight line. In other words, if we can find two points that satisfy the equation of the line, then the line can be accurately drawn. But it can be more than 2 points as well. IT CANNOT BE 1. Just 1 point can fo anything at all. You cannot make a linear line or a line in general with just one point. You need 2 or more to make a line.
Make y the subject of the formula
Answer:
[tex] y = \frac{w - x^2}{-2z} [/tex]
Step-by-step explanation:
Given:
w = x² - 2yz
Required:
Solve for y
Solution:
[tex] w = x^2 - 2yz [/tex]
Subtract x^2 from not sides
[tex] w - x^2 = - 2yz [/tex]
Divide not sides by -2z
[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]
[tex] \frac{w - x^2}{-2z} = y [/tex]
[tex] y = \frac{w - x^2}{-2z} [/tex]
1/3into a percent and a decimal
Answer:
33% or .33
Step-by-step explanation:
Divide 1/3 = .3333 (repeating). I would round to the nearest hundreths place:
1/3 = .33
For the precentage, multiple 0.33 by 100:
100 * 0.33 = 33%
20 POINTS
Layla and Cayden are racing at the playground. The playground is rectangular and has a length of 82 meters and a width of 50 meters. Cayden will run around the entire perimeter of the rectangular playground while Layla will run diagonally across the playground twice. (She will end where she started). Cayden runs 3 meters per second and Layla runs 2 meters per second.
A: Who will finish first?
B: How much faster will that person's finish time be?
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEE
FOR THE SECOND TIME I ASKED THIS QUESTION ;-;
Will mark the brain
Answer:
ummm c
Step-by-step explanation:
Brainliest plz plz plz
Answer:
10/12
Step-by-step explanation:
mr rivas bought a can of paint. he used 3/8 for a bookshelf and 1/4 on a wagon. he has 1/8 of paint left. how much paint did he use to paint a birdhouse.
NEED HELP NOW!!
Does this graph show a function? Explain how you know
A. No; there are y values that have more than one x value.
B. No, the graph fails the vertical line test.
C. Yes; there are no yvalues that have more than one x-value.
D. Yes; the graph passes the vertical line test.
Answer:
i am not sure to my answer
my answer is letter D
Answer:
yes answer is d.. this is clear
Help pleas! 10 POINTS
Answer:
B
Step-by-step explanation: rational numbers include negative numbers as well. whole number only contains positive integers.
Given: 33 + 6p = 2(p-1) - 3p
Prove: p = -5
Answer:
Let us prove that p=-5
33+ 6p= 2p-2-3p33+6p= -1p-2 33+7p=-2 7p=-35 p=-533 + 6 x -5 = 2(-5 - 1) - 3 x -5
3 = 3
factor the expression using GCF
69 + 84
The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck
Answer:
The area of the deck is of 146.14 squared units.
Step-by-step explanation:
Regular hexagon:
A regular hexagon has 6 sides, all with the same measure.
Perimeter of a regular hexagon:
The perimeter of a regular hexagon with side x is given by:
[tex]P_h = 6x[/tex]
Area of a regular hexagon:
The area of a regular hexagon with side x is given by:
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]
It has a perimeter of 45 units.
This means that:
[tex]6x = 45[/tex]
[tex]x = \frac{45}{6}[/tex]
[tex]x = 7.5[/tex]
What is the are of the deck
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]
The area of the deck is of 146.14 squared units.
“Soup and taco” sells 7 burritos for every 9 tacos sold if they sell 63 burritos, how many tacos do they sell?
2,325 divided by 15 equals what I’m really confused ?)
Answer:
155
Step-by-step explanation: