In this problem, we build and solve an expression.
a)
The expression is:
[tex]350 + 10s = 1250[/tex]
b) 90 students can attend the field trip.
Item a:
The spendings are:
Round trip bus ride of $350.$10 per student s.Thus, in total:
[tex]350 + 10s[/tex]
Has $1,250.00 to spend, thus:
[tex]350 + 10s = 1250[/tex]
Item b:
The number of students that can attend the trip is the solution for s, thus:
[tex]350 + 10s = 1250[/tex]
[tex]10s = 900[/tex]
[tex]s = \frac{900}{10}[/tex]
[tex]s = 90[/tex]
Then, 90 students can attend the field trip.
A similar problem is given at https://brainly.com/question/22312773
What is the constant of variation for the quadratic variation?
Two row table. First row head is x. First row data are two, three, four, five, six. Second row head is f(x). Second row data are twenty-eight, sixty-three, one hundred twelve, one hundred seventy-five, two hundred fifty-two.
7
14
21
35
Answer:
35
Step-by-step explanation:
x=35
y=7
Isaac takes a 216-mile trip from
Boston to New York City. He drives
at a rate of 54 miles per hour. The
equation d = 54t models his
distance, d, over time ,t, in hours. Complete the table of values and identify the independent and variables.
Independent input -Time “0,1,2,3,4”
Dependent output- distance
“0,__,180,__,216”
*Fill in the blank*
WRONG ANSWERS GET REPORTED!!!
Answers:
First Blank = 54Second Blank = 162=============================================
Explanation:
The first blank represents the distance that corresponds to t = 1 hour.
We'll replace t with 1 to get...
d = 54t
d = 54*1
d = 54
Therefore, 54 goes in the first blank. It means that Isaac traveled 54 miles after 1 hour.
------------------
We repeat these steps for t = 3
d = 54*t
d = 54*3
d = 162
This means he traveled 162 miles after 3 hours
So 162 goes in the second blank
-------------------
Side note: your teacher wrote 180 but s/he should have written 108 instead because 54*2 = 108
What is 1.6 to the power of 3?
Answer:
4.096
Step-by-step explanation:
Use a calculator or do (1.6)(1.6)(1.6)
An inverted pyramid is being filled with water at a constant rate of 70 cubic
centimeters per second. The pyramid, at the top, has the shape of a square
with sides of length 6 cm, and the height is 13 cm.
Find the rate at which the water level is rising when the water level is 3 cm.
cm/sec
Rates of change are the change of a quantity over another.
The rate of change in height of the water level is 36.51 cm per second.
Let the length of the top square be s, and the height be h.
The volume of the pyramid is:
[tex]\mathbf{V = \frac{1}{3}s^2h}[/tex]
At time t, we have:
[tex]\mathbf{V = \frac{1}{3}s(t)^2h(t)}[/tex]
The relationship between the side length and height is:
[tex]\mathbf{s : h=6 : 13}[/tex]
Express as fractions
[tex]\mathbf{\frac{s }{ h}=\frac{6 }{ 13}}[/tex]
Make s the subject
[tex]\mathbf{s=\frac{6 }{ 13}h}[/tex]
So, we have:
[tex]\mathbf{V = \frac{1}{3}s^2(t)h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times (\frac{6 }{ 13}h(t))^2 \times h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h(t)}[/tex]
[tex]\mathbf{V = \frac{1}{3} \times \frac{36}{ 169}h^3(t)}[/tex]
Differentiate
[tex]\mathbf{V'(t) =3 \times \frac{1}{3} \times \frac{36}{ 169}h^2(t) \times h'(t)}[/tex]
[tex]\mathbf{V'(t) =\frac{36}{ 169}h^2(t) \times h'(t)}[/tex]
Make h'(t) the subject
[tex]\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}[/tex]
The water level rises constantly at 70 cm^3/s, and the water level is 3 cm.
So, we have:
[tex]\mathbf{V'(t) = 70}[/tex]
[tex]\mathbf{h(t) = 3}[/tex]
[tex]\mathbf{h'(t) = \frac{169 \times V'(t)}{36 \times h^2(t)}}[/tex] becomes
[tex]\mathbf{h'(t) = \frac{169 \times 70}{36 \times 3^2}}[/tex]
[tex]\mathbf{h'(t) = \frac{169 \times 70}{36 \times 9}}[/tex]
[tex]\mathbf{h'(t) = 36.51}[/tex]
Hence, the rate of change in height of the water level is 36.51 cm per second.
Read more about rates at:
https://brainly.com/question/13719830
solve pls brainliest
Answer:
[tex] \frac{8}{3} \: and \: \frac{5}{12} \: = \frac{1}{3} [/tex]
8 - 1, 2, 4, 8
3 - 1, 3
5 - 1, 5
12 - 1, 2, 3, 4, 6, 12
I hope it helps!solve the equation for x. 2x-3+2y^2=41
Answer:
x=22-y^2÷2
Step-by-step explanation:
Answer:
x=44-2y^2÷2
Step-by-step explanation:
2x-3+2y^2=41
(combine like terms)
2x+2y^2=41+3
2x+2y^2=44
2x=44-2y^2
x=44-2y^2÷2
Please like my answer.
will averages 18 points a game and is the all-the scoring leader on his team with 483 points. Tom averages 21 points a game and is currently second on the all-time scorers list with 462 points. If both players continue to play at the same rate, how many more games will it take until Tom and Will have scored the same number of total points?
Answer:
Step-by-step explanation:
18x + 483 = 21 + 462
By solving we find
x = 7
Set up a proportion and solve each problem. Round each answer to the nearest tenths. 5) What is 35% of 74? 6) 78 is what percent of 95? 7) Find what % of 54 is 6. 8 28 is 60% of what number?
Answer:
power rangers
power rangers
Let f(x) = 5x - 1 and g(x) = x2 + 3.
Find (f o g)(2).
Answer:
[tex]16[/tex]
PLZ MARK AS BRAINLIEST IF THIS ANSWER HELPED YOU!
Step-by-step explanation:
[tex]f(2) = 5(2) - 1= 9[/tex]
[tex]g(2) = 2^2 + 3 = 7[/tex]
[tex](f \ \o \ g)(2) = f(2) + g(2) = 9 + 7 = 16[/tex]
PLZ MARK AS BRAINLIEST IF THIS ANSWER HELPED YOU!
What are the numbers that affect the movement of a graph.
Answer:
The highest and the lowest numbers affect a graph
Suppose a basketball team had a season of games with the following characteristics:
Of all the games, 60% were at-home games. Denote this by H (the remaining were away games).
Of all the games, 25% were wins. Denote this by W (the remaining were losses).
Of all the games, 20% were at-home wins.
Of the at-home games, we are interested in finding what proportion were wins.
Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?
a. 0.05
b. 0.12
c. 0.15
d. 0.42
e. 0.80
correct Ans:
P(H) = 0.60
P(W | H) = P(H and W)/P(H)=
0.33
0.20/0.60
my mistake:
P(H and W) = 0.20
3) y = 3x^2 – 17x + 10
4) y = x^2 + 2x - 9
Answer:
(3) x = 17/6 (4) y = -41/4
Step-by-step explanation:
i hope this helps u
The cost of the building a multi-storey building is K300,000 for the first floor, k375,000 for the second floor and K450,000 for the third floor and so on. Find the total cost, if the building is 8 stories high?
Answer:
4.9000890
Step-by-step explanation:
don't know this one help me out ?
A store sells 6 T-shirts for $59.58. What is the unit cost per T-shirt?
Answer:
$10.00
Step-by-step explanation:
there are 6 tshirts sold and the total cost is 59.98 dollars, so you would divide 59.98 divided by 6. you would probably round because the answer would be 9.996667, rounding up would be 10.00. hope this helps a bit
The Accounts Payable account of Waterford, Inc. has the following postings: Accounts Payable Calculate the ending balance of the account.
14000 8000
5000 12000
Answer:
14000 credit
Step-by-step explanation:
debit means minus
credit means plus
- 17000 (debit)
- 8000 (debit)
+ 27000 (credit)
+ 12000 (credit)
------------------------
14000 credit
How is the distributive property used to expand expressions? Give an example.
Answer:
Distributive property is used to expand expressions by multiplying the factor to every term in the group and combining similar terms if there are any. Hope this helps!
Step-by-step explanation:
An example is...
3(x+4) + 3(y-8)
This is the same thing as...
3x + 12 + 3y -8
In a survey of 1020 adults in the manila 44% said that they wash their hands after riding public transportation.
a. Identify the sample and population
B. Is the value of 44% a statistic or parameter?
C. What is the level of measurement of the value of 44%
D. Are the numbers of subjects in such surveys discrete or continuous?
Answer:
csihshx8wnwisnjxieei9wjw9ejd9jfie
An exponential function in the form y=64(b)x contains the points (0,64) and (3,1). What is the value of b?
Answer:
1/4
Step-by-step explanation:
The value of b is 1/4
We have given that,
An exponential function in the form y=64(b)^x contains the points (0,64) and (3,1).
What is the exponential equation?[tex]y=64b^x\\x=0,y=64\\64=64b^0\\=64\times1\\=64[/tex]
(3,1)
x=3,y=1
[tex]1=64b^3\\b^3=\frac{1}{64} \\b=1/4[/tex]
b=1/4
The value of b is 1/4
To learn more about the exponential function visit:
https://brainly.com/question/12940982
#SPJ2
Translate this sentence into an equation.
135 is the product of Rick's height and 9.
Use the variable r to represent Rick's height.
Step-by-step explanation:
"product" means multiplication. the same as "times".
so,
135 = r×9
56.12 × 49= ???
send help
The answer is 3311.08, 56.12 * 49 = 3311.08
Answer:
2749.88
Step-by-step explanation:
THERES THE ANSWER have a NICE DAY!! B-)
please help with this!!
Answer:
Step-by-step explanation:
12 Cost(1.779) = 74.11
Cost = 74.11 / 1.779
Cost = $41.66
Markup = 41.66(0.779) = $32.45
or
Markup = 74.11 - 41.66 = $32.45
13
Discount = 50.99 - 35.99 = $15.00
Discount rate = 15.00 / 50.99 = 29.4%
Which types of polygons are the faces of a octahedron
Answer:(i think)
Equilateral triangles
Answer:
A regular octahedron has 8 congruent faces that are congruent equilateral triangles, 12 congruent edges, and 6 vertices; an edge is a line segment formed by the intersection of two adjacent faces; a vertex for a regular octahedron is a point where 4 edges meet.
The figure shows the movement of a pedestrian as she walks from point B to point E. Write a formula for function d(t) for each section: BC, CD, and DE.
Answer:
First box: -5t+40
Second box: 20
Third box: -5(the t-2)+40
Step-by-step explanation:
I’m not sure if you go to rsm or not, but I’m here to help Bc I have done this question already
Just helping the rsm community Yw
This is a statistics question.
Find the sample mean of the frequency distribution.
Answer:
[tex] \frac{5 + 8}{2} = 6.5 \\ \frac{9 + 12}{2} = 9.5 \\ \frac{13 + 16}{2} = 14.5 \\ mean = \frac{ \sum \: xf}{n} \\ = \frac{(3 \times 6.5) + (5 \times 9.5) + (1 \times 14.5)}{(3 + 5 + 1)} [/tex]
PLZ HELP WITH NUMBER 4 AND 5
Answer:
Question 4: 70 degrees
Question 5: 150 degrees
Step-by-step explanation:
Question 4:
The shape is a polygon therefore we need to first find the sum of the angle. The formula is: (number of sides - 2) * 180
Rewrite: (5 - 2) * 180 = 540
To get the answer we add all angles together which is:
135 + 120 + 80 + 135 = 470
Minus to get the last angle:
540 - 470 = 70 degrees
So the answer is 70 degrees:
x = 70 degrees
Question 5:
Again the type of shape is an polygon so first we need to find the sum of the angle.
(6 - 2) * 180 = 720
Next add up all the angles together. The square boxes mean the angle is a right angle. So we can just add 90 degrees for every box you see.
90 + 90 + 120 + 120 = 420
Minus the answer with the sum of the total angle to get the missing value:
720 - 420 = 300 degrees
Next since there are two x, and they are at the same position they are the same value so we can just divide and get the answer.
300 / 2 = 150 degrees
Therefore the answer for both x are 150 degrees:
x = 150 degrees.
An eight-sided solid is labeled with faces 1,2,3,3,4,5,6,6. Is this a fair solid?
Answer:
no hablo Taka Taka
Step-by-step explanation:
hola weon
Will mark BRAINELIST, please answer!
Answer:
a. D
b. C
Step-by-step explanation:
a. to find the x intercept substitute in 0 for y and solve for x. to find the y-intercept substitute in 0 for x and solve for y.
b. solve for x
which expression is equivalent to 5^6
A) 6 · 5
B) 25 · 5 · 5 · 5
C) 125 · 125
D) 36 · 6 · 6 · 6
Answer:
C) 125 • 125
Step-by-step explanation:
5^6 is equivalent to 5 x 5 x 5 x 5 x 5 x 5
Three sets of five multiplied by one another is the same as 5^3 x 5^3 or 125 x 125.
What is the median for the data shown below?
S= [110, 105, 126, 65, 134, 102, 78, 80, 119, 67, 88]
Answer:
102
Step-by-step explanation:
The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:
65 , 67 , 78 , 80 , 88 , 102 , 105 , 110 ,119 , 126 , 134
Since there is an odd number of data values in this data set, there is only one middle number. With 11 data values, the middle number is the data value at position 6. Therefore, the median is 102.
Answer:
102
Step-by-step explanation:
1. The median is the quantity that's in the middle of a data set.
2. First, we have to arrange the given data set from least to greatest:
65, 67, 78, 80, 88, 102, 105, 110, 119, 126, 1343. Now, when we try and locate the middle number, we can see that the number is 102.
Therefore, the median is 102.