The total amount of money spent on pass and lunch for each student is $19.28.
How much is spent on lunch and a pass?The first step is to determine the amount that was spent on a pass for each student. The cost of one pass can be determined by dividing the total amount spent on passes by the total number of teachers and students.
Cost of one pass = total amount spent on one pass / total number of people
Cost of one pass = 526.26 / (47 + 2)
Cost of one pass = 526.26 / 49
Cost of one pass = $10.74
The second step is to determine the amount spent on lunch for one student. This can be determined by dividing the total amount spent on lunch by the total number of students.
Cost of one lunch = total cost of lunch / total number of students
401.38 / 47 = $8.54
Total amount spent on pass and lunch for each student = cost of lunch for one student + cost of a pass for one student
$8.54 + $10.74 = $19.28
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Betsie is going to buy 250 envelopes
Here is some information about the cost of the envelopes
Letters2go Pack of 25 envelopes for £3.19
Value World Pack of 10 envelopes £1.99 Buy 2 packs get one free
Betsie wants to buy the envelopes for the best possible price
Which shop should Betsie buy the 250 envelopes from?
You must show how you got your answer.
At Letter2go, Betsie can purchase the 250 envelopes. As an example, 250 envelopes cost £31.9 in the Letter2go store but £33.17 in the Value World store.
What is an Expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
From Letters 2 go:
Pack of 25 envelopes for £3.19
If we look at the price of envelopes at shop 1, which is Value World,
The cost of a pack of 10 envelopes is £1.99.
Also, buy 2, get one is free
Which means that 1 pack = £1.99
2 packs = 2×£1.99 = £3.98
Also, with 2 packs Betsie get 1 pack free
So, Betsie gets 3 packs for £3.98.
1 pack = 10 envelopes
3 packs = 30 envelopes.
Hence,
In shop Value World:
30 envelopes = £3.98
1 envelope = £3.98/30
250 envelopes = (3.98/30)×250
So, 250 envelopes will cost £33.17 in Shop Value World.
From shop Letter 2 go:
25 envelopes = £3.19
1 envelope = £3.19/25
250 envelopes = (3.19/25)×250
Therefore, 250 envelopes in Store Letter 2 go should cost £31.9.
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The coordinates of Quadrilateral EFGH and its image, Quadrilateral E'F'G'H', are given below.
H(-4, 2) H'(-4,-1)
Quadrilateral EFGH E(-5, 5) F(-3, 4) G(-2, 1) Quadrilateral E'F'G'H' E'(-5, 2) F'(-3, 1) G'(-2,-2)
Which single transformation could be used to map Quadrilateral EFGH to Quadrilateral E'F'G'H'?
O a translation of 3 units to the right
O a translation of 3 units up
O a translation of 3 units down
O a translation of 3 units to the left
Option (3) is correct. A translation of 3 units down.
What is translation of points?
A point's linear displacement from its starting position is referred to as translation. In an x - y coordinate plane, a point's coordinates are labelled with respect to the origin by first indicating the horizontal position and then the vertical position.
Given: The coordinates of Quadrilateral EFGH and its image, Quadrilateral E'F'G'H', are given below,
E(-5, 5) ⇒ E'(-5, 2)
F(-3, 4) ⇒ F'(-3, 1)
G(-2, 1) ⇒ G'(-2, -2)
H(-4, 2) ⇒ H'(-4, -1)
From above we can see that the y - coordinate of each point is decrease by 3.
Which is the translation of 3 units down.
Therefore, the single transformation a translation of 3 units down, could be used to map Quadrilateral EFGH to Quadrilateral E'F'G'H'.
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9) Give the following expression in index form
a) √3
Answer:
nStep-by-stepkbexplanation:
Ms. Jackson is buying scientific calculators for her math class.
She tells the principal that a classroom set of 30 calculators would
cost $388.50. The principal wants to know the cost of purchasing
calculators for the entire school. How much would it cost to buy 300
calculators?
3. Ben played at a friend's house for 2 hours
35 minutes. Later he played at a park for
1 hour 10 minutes. He played for another
1 hour 20 minutes in his backyard. How
long did Ben play in all?
8x + 18 = _ (4x + 9)
Answer:
2
Step-by-step explanation:
we can try 2 to distribute since 18 divided by 9 is 2
2(4x+9)
2(4x)+2(9)
8x+18
Hopes this helps please mark brainliest
. A bag of marbles contains a ratio of 4 red marbles to 13 more blue marbles than
red marbles. If there are 51 blue marbles, how many red marbles are in the
bag?
The number of red marbles in the bag is 12.
We are given a bag. The bag contains two types of marbles. There are red and blue marbles in the bag. The ratio of marbles is four red marbles to thirteen more blue marbles than red marbles. Let the ratio of the number of red marbles to that of blue marbles be denoted by the variable "r".
r = 4/(13 + 4) = 4/17
The number of red marbles and blue marbles in the bag is 4x and 17x, respectively, where "x" is a variable. We know that the number of blue marbles in the bag is 51. We can write the following equation to find the value of "x".
17*x = 51
x = 51/17 = 3
Hence, the number of red marbles is 4x = 4*3 = 12.
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using the ideal gas law, pv=nrt, what variable are we solving for in this investigation?
Using the ideal gas law, pv=nrt we can find the number of moles (n), pressure (P), volume (V), Kelvin (T).
The relationship between pressure (P), volume (V), amount of gas (n), and temperature (T) is represented by the ideal gas equation, PV=nRT (T). Because it assumes that gas is functioning in an ideal or theoretical way and can therefore be written as a universal gas constant, it is known as "the ideal gas law" (represented by R in the equation).
It is believed that the gas is perfect.
In many cases, pressure (P) is measured in atmospheres (atm). Liters are commonly used to measure volume (V) (L). Mole amounts (n) are frequently used as units of measurement (mol). The unit of temperature is Kelvin (T) (K).
R is the universal constant. The SI value is 8.31 J/mol∗K
The ideal gas law is helpful for comprehending and computing the characteristics and actions of gas, such as when developing cars or airplanes. It is also crucial for understanding thermodynamics. For instance, the pressure can be determined when the temperature, volume, and quantity of gas are known. When the variables are unknown, the ideal gas law equation can be changed to provide a solution for each one.
Hence by using the ideal gas law, pv=nrt compute the characteristics and actions of gas.
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Find an equation of variation in which y varie inverely a x and y=5 and x=17. Then find the value of y when x=10
Answer: If the graph of a relationship is a line or a ray through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional. Also, if it is not linear, then it is not proportional.
Step-by-step explanation:
i need help asap, i dont remember learning this so i have no clue
The different ways used to display misleading information on a graph is done by skipping a number or doesn't begin at zero. There are incorrect labels on the graph. Data is missing.
What is a misleading graph?A misleading graph also referred to as a distorted graph, is one that presents data inaccurately, abusing statistics in the process and potentially leading to an incorrect conclusion.
Sometimes deceptive graphs are created on purpose, and other times it's just a matter of people not comprehending the data that goes into the graph. The "classic" varieties of deceptive graphs include those in which:
The vertical scale does not begin at zero, is too large or too little, skips digits, or all of the above.
The graph's labels need to be updated.
Data is omitted.
Thus, the different ways used to display misleading information on a graph are done by skipping a number or doesn't begin at zero. There are incorrect labels on the graph. Data is missing.
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a sample of 50 students was taken from the local university. these students spent an average of $170 on books this semester, with a standard deviation of $25.50. find the 95% confidence interval for the mean spent on books at this university?
TThe 95% confidence interval for the mean spent on books at this university is (160.711, 179.289).
In the given question we have to find the 95% confidence interval for the mean spent on books at this university.
A sample of 50 students was taken from the local university.
So n=50
These students spent an average of $170 on books this semester, with a standard deviation of $25.50.
So x=$170 and σ = $25.50
So the 95% confidence interval for the mean spent on books at this university.
CI=x ± [tex]z_{\alpha /2}[/tex]× σ/√n
Now finding the value of [tex]z_{\alpha /2}[/tex] for 99%=0.99 confidence interval.
[tex]\alpha[/tex] =1−0.99 = 0.01
[tex]\alpha[/tex]/2 = 0.01/2 = 0.005
[tex]z_{\alpha /2}=z_{0.005}[/tex]
[tex]z_{\alpha /2}[/tex] = 2.576
The z critical value at 99% confidence interval is 2.576.
Putting the value
CI=170 ± 2.576× 25.50/√50
CI=170 ± 2.576× 25.50/7.071
CI=170 ± 2.576×3.606
CI=170 ± 9.289
CI=(170 − 9.289, 170 + 9.289)
CI =(160.711, 179.289)
Hence, the 95% confidence interval for the mean spent on books at this university is (160.711, 179.289).
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You work in a jewelry store where you make a 13% commission for every sale. If you sell a $1350 ring, what will you make in commission?
Answer:1174.5
Step-by-step explanation:
.13 times 1350= 175.5$ so 1350-175.5= 1,174.5$
PLEASE HELP URGENT
Solve for the roots in simplest form using the quadratic formula:
4x^2+4x=3
Answer: x = 1/2 , -3/2
Step-by-step explanation:
Use the quadratic formula:
a=4
b=4
c=-3
x= -4 +- sqrt16-4(4)(-3) / 8
= -4 +- sqrt16+48 / 8
= -4 +- sqrt64 / 8
= -4 +- 8 / 8
Split it to (-4 + 8) / 8 and (-4 - 8) / 8
4/8 and -12/8 = 1/2 and -3/2
PLEASE HELP ASAP IM BEGGING pics below.
Please answer like a) (answer) and b) (answer)
TYSM
The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh).
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given volume expression,
V= lwh
a)
l = V/(wh)
l = 8/(2 × 4) = 1
b)
V= lwh
l = V/(wh)
Hence "The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh)".
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Suppose there is a 1.7 f drop in temperature for every thousand feet that an airplane climbs into the sky.If the temperature on the ground is 59.2,what will be the temperature when the plane reaches an altitude of 7,000 ft?
The temperature when the plane reaches an altitude of 7,000ft is 47.3 degree.
What is temperature?
Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).
Given,
there is temperature decrease in every thousand feet = 1.7f
temperature decrease in 7000 ft = 7(1.7) = 11.9 f
Therefore, temperature = 59.2- 11.9
=47.3
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Can anyone help!!!!
Question 5 only *
Answer:
Step-by-step explanation:
-3x^2 + 24x + 5 in the form 5 (6x - 3)^2 + 18
Create a list of steps, in order, that will solve the following equation.
(x - 5)² = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides
Answer:
25
Step-by-step explanation:
5x5 =25 25-5=20
the number of people infected with coronavirus doubles every 3.3 days. how many days does it take for the u.s. to go from one case (patient zero) to all 330,000,000 americans being infected.
It will take 96.7 days for the whole US population to get infected.
Given information;
The number of people infected with coronavirus doubles every 3.3 days as following;
1 → 2 → 4 → 8 → 16 → 32 → 64 → . . . . . . . . . . . . → 333,000,000
Let 'x' denotes number of 3.3 days passed the for cases 333,000,000.
⇒ [tex]2^x = 333,000,000[/tex]
For the above equation applying log on both sides. we get;
x(In 2) = In (330,000,000)
x = In (330,000,000)/(In 2)
x = 28.3
Therefore;
So, total no. of 3.3 days passed = 1 + x
= 1 + 28.3
= 29.3
And number of days for 1 to 330,000,000 = 29.3 * 3.3 days
= 96.7 days
Hence, it will take 96.7 days to infect the total population in US.
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How many numbers in the set of consecutive integers from 1 to 99, Inclusive, have 3 as a factor but do not have 6 as a factor?
6. Multi-Step Problem A fish swims 12 miles
downstream in 2 hours. The fish swims back
upstream to the same point, but the trip takes
3 hours. Assume the speed of the current was
constant and the fish swam along the same
path.
a. Write a system of linear equations to
describe the situation.
b. Determine the speed of the fish in still
water.
c. Determine the speed of the current.
d. Writing If the speed of the current was
not constant, could you still calculate the
speed of the fish in still water?
The speed of the fish in still water is 5 Km/h.
The speed of the current is 1 km/hr.
Write the definition of speed.The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.For the given question.
Total distance travelled by fish = 12 miles.
Let the speed of the fish in still water be 'x km/h.'
Let the speed of the current be 'y km/hr'.
Time taken by fish in moving down steam is 2 hours.
Time taken by fish in moving up steam is 3 hours.
Use formula;
Distance = speed x time
Part a: system of linear equations
Down steam; 2(x + y) = 12 ...eq 1
Up steam; 3(x - y) = 12 ...eq 2
Part b: speed of the fish in still water.
Solve equation 1 an d 2 by elimination.
2(x + y) = 12
3(x - y) = 12
Divide equation 1 by 2 and multiply it by 3, Then add to eq 2.
6x = 30
x = 5
Speed of fish in still water = 5 Km/h.
Part c: speed of the current
Put value of x in eq 1.
x = 5
2y = 12 - 10
2y = 2
y = 1
Thus, speed of the current is 1 km/hr.
Part d: If the speed of the current is not constant than, then the value of speed of the fish in still water can not be found.
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The position of a 50 g oscillating mass is given by x(t)=(2. 0cm)cos(10t−π/4), where t is in s. If necessary, round your answers to three significant figures. Determine:.
Answer:their equal to 150
Step-by-step explanation:
took the test
please help i need it ( look at picture)
Answer:
Plug all of the X values on the left of the table in to the equations one by one and calculate.
-2(-4)—5= 3
-2(-2)—5= -1
-2(0)—5= -5
-2(2)—5= -9
Step-by-step explanation:
I have 3 triangles and 1 circle. I want to add circles so that it is more likely that I will randomly choose a circle than a triangle. What's the smallest number of circles I should add?
Answer:
3
It should be 3 because well how to explain
A line has the equation y - 4 = 3x + 11 Work out the gradient and the y-intercept of the line.
Answer: Gradient is 3 and y-intercept is 15
Step-by-step explanation:
by rearranging the equation so y is on 1 side we get:
y = 3x + 15
the gradient is the number before the x (coefficient)
the y intercept is the number that is not multiplied by the x, in this case 15
Giving 50 Points..!!
Estebe enlarged a 4 inch by 6 inch photograph by a scale factor of 5/2. What are the new dimensions of the photograph
Answer:
New photograph is 10 in by 15 in===================
Initial dimensions4 in and 6 in,and
Scale factor k = 5/2.Find new dimensionsw = 4*5/2 = 10 inl = 6*5/2 = 15 inEMERGENCY,
THIS IS QUESTION 1, GO ANSWER MY OTHER ONES UP UNTIL 10 ON MY PROFILE TOO. HELP ASAP
Answer:
A) Slope = 9/4, y-intercept = 2Step-by-step explanation:
The y-intercept is the y-coordinate with x = 0, this is 2 on the table:
b = 2,Use one more of points, (2, 6.5) to find the slope:
m = (6.5 - 2)/2 = 4.5/2 = 9/4The line is:
y = 9/4x + 2,Correct choice is A.
Math homework need asap pls
Step-by-step explanation:
function 1 :
simple, you put 3 into every place of x and then calculate.
y = -4×3 + 2 = -12 + 2 = -10
function 2 :
the only one where we need to think a little.
so, x = 3.
from the center of the coordinate axes we go on the x-axis to 3.
from there we go up out down to intersect the line. then we look to the left to the y-axis and see what value we have there : -1
y = -1 when x = 3
function 3 :
the solution is already written there in full sight.
input = 3.
so, we look in the table. where is the line with input = 3 ?
it is the last but one line. what value is in the output column of that line ? -3
output = -3
Graph the line of the given equation
Answer:
Step-by-step explanation:
See the attached image
Mammoth Cave in Kentucky has a depth of −124.1 meters. Suppose a hiker traveled to the bottom of the cave. How many meters did the hiker descend?
Distance between starting and end point. The hiker descends the distance is [tex]124.1m[/tex]
What is depth?
The distance between the nearest end and farthest end of an object is its depth.
Here given that, the depth of the mammoth cave is [tex]-124.1m[/tex].
When the hiker is at the maximum depth it is traveling to the bottom of the cave.
As it is given the depth of the cave [tex]-124.1m[/tex]. Since the hiker is traveling down to the bottom and covering the total depth and the hiker must have covered the same distance corresponding to the depth in the cave which would be [tex]124.1m[/tex].
Hence, the hiker must have descended the distance that is [tex]124.1m[/tex]
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please help asap!!
will mark brainliest :)
Answer:
Integer, Rational, Real
Step-by-step explanation:
Let's go through and define what each of these are:
Integer:
An integer is any number (including zero) that is positive or negative. Please note that it cannot be a decimal / fraction.
-1 is a whole, negative number. So, it is an integer.
Rational:
A rational number is any number that can be written as a ratio of 2 numbers. Ex: 1.5 can be 3/2
-1 can be written as -1/1, so it is a rational number.
Real
A real number is *any* number that is not imaginary (the number i is imaginary. i is [tex]\sqrt{-1}[/tex])
-1 has no i so it is a real number
Irrational
An irrational number is any number with a radical at it's end. Ex: 3 [tex]\sqrt{5}[/tex], and [tex]2\sqrt{2}[/tex]
-1 has no radical attached to it, so it is not an irrational number.
Whole:
A whole number is any number that has no decimal and is positive (though zero is included)
-1 has no negative, but is a negative number so it would not be counted as a whole number.
Natural:
Natural numbers were always confusing to me, but I hope this will help you. A natural number is any positive number starting at 1, and going forever. They always increase in a multiple of 1. Examples of natural numbers: 1, 2, 3, 4... It is called a natural number, because counting in multiples of ones is natural to us, like counting the amount of apples in a basket.
-1 is a negative number, so doesn't qualify for the characteristics of a natural number.
Let's go back through all of these explanations and see which ones we said -1 is:
Integer, Rational, Real