if 500 students were at the assembly, then the number of students who were wearing spirit wear is 200 students.
Calculations and Parameters:Since we know that:
4/10 of every student is wearing spirit wear.
The total number of students was 500
Hence,
We can express this as:
4/10 x 500
=4 x 50
= 200
Read more about percentages here:
https://brainly.com/question/24304697
Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth
Answer:
The cashier is wrong
[tex]Amount = 64.99[/tex]
Step-by-step explanation:
Given
[tex]Jeans=34.95[/tex]
[tex]Shirt = 24.95[/tex]
[tex]Sales\ Tax = 8.5\%[/tex]
Solving (a): Is the Cashier's step correct?
The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.
Solving (b):
First, calculate the total cost by adding the cost of jeans and shirt respectively:
[tex]Total = 34.95 + 24.95[/tex]
[tex]Total = 59.90[/tex]
Next, multiply the sales tax percentage to the total cost to get the sales tax amount.
[tex]Sales\ Tax = 8.50\% * 59.90[/tex]
[tex]Sales\ Tax = 5.0915[/tex]
Add the sales tax to the total, this gives the total payable amount.
[tex]Amount = 59.90 + 5.0915[/tex]
[tex]Amount = 64.9915[/tex]
[tex]Amount = 64.99[/tex] approximated
Suppose that three out of five voters support a candidate. If 1,240 voters support the candidate, how many voters participated in the election in all? Round your answer to the nearest whole number.
Answer:
2067 voters
Step-by-step explanation:
Suppose that three out of five voters support a candidate.
This means 3/5 votes support a candidate
Let the total number rod candidates be represented as x
If 1,240 voters support the candidate,
how many voters participated in the election in all?
Hence,
3/5 of x = 1240 voters.
3/5 × x = 1240
3x /5 = 1240
Cross Multiply
3x = 1240 × 5
x = 1240 × 5/3
x = 2066.6666667 voters
Approximately to the nearest whole number:
2067 voters
Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backwards until he can see the top of the geyser in the middle of the mirror. at that point, Ramon eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the geyser
Answer:
36 ft
Step-by-step explanation:
6/x=7.5/45
270=7.5x
x=36
In this exercise we have to have knowledge of triangles, so we can use the theory of similar triangles to find the value of X, like:
[tex]36 ft[/tex]
To use similar triangle theory, we have to make a rule of 3, that is:
[tex]6/x=7.5/45\\270=7.5x\\x=36[/tex]
See more about triangles at brainly.com/question/10951564
Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?
Answer:
$ 3.39
Step-by-step explanation:
X = 45 - (13.87*3)
x = 45 - 41.61
x = 3.39
What number am I thinking of from 1-10?
(will give brainliest to whoever gets it right!)
Answer:1-2-3-4-5-6-7-8-9-10
Step-by-step explanation:
Achievement Unlocked:Cheat The System
what is a linear equation that contains these points?
Use the formula to solve the problem. Round to the nearest hundredth.
Volume of a sphere: V = 4/31tr3
Surface area of a sphere: A = 4rtr2
Find the volume of a sphere with a radius of 1 inch.
_____cubic in.
Answer:
Volume of sphere = 4.186 cubic inches
Step-by-step explanation:
Radius of sphere = r = 1 inch
Volume of sphere = ?
The formula used is: [tex]Volume\:of\:sphere=\frac{4}{3}\pi r^3[/tex]
Putting value of radius and π and finding volume:
[tex]Volume\:of\:sphere=\frac{4}{3}\pi r^3\\Volume\:of\:sphere=\frac{4}{3}\times 3.14\times (1)^3\\Volume\:of\:sphere=\frac{4}{3}\times 3.14\times (1)^3\\Volume\:of\:sphere=4.186 \:cubic\:in[/tex]
So, Volume of sphere = 4.186 cubic inches
Plz help im on a timer
8x – 12y = 48
Find the x-intercept and y-intercept
Answer:
my answer came out to x = 6 + 1.5y
Step-by-step explanation:
may someone plz answer this
Answer:
At least 2 weeks
Step-by-step explanation: You divide until you reach 200
1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2
Answer:
1 . -9 = 0
2 . x = 0
3 . 0 = 0
4 .x = -27
5 . x = -4
Step-by-step explanation:
PLEASE HELP DUE TODAYWhich of the following types of triangles have angles of equal measure?
Select one:
A. Scalene
B. Right
C. Equiangular
D. Isosceles
Answer:
Equaiangular
Step-by-step explanation:
think equal
PLEASE HELP WILL GIVE BRAINLIEST.
The line y=-3x - 8 is graphed below. What additional line would create a system of equations with a solution of (-4,4)?
Answer
A y = 2x + 10
By= 3x + 1
C y = 3x - 9
Dy - 3x + 6
Answer:
Choice D
Step-by-step explanation:
For this one I would find if the point lands on the line.
Choice A:
What we have to do is to plug in -4 for x and 4 for y.
[tex]y=2x+10\\(4)=2(-4)+10\\4=-8+10\\4\ne2[/tex]
The point is not on this line so this cannot be it.
Choice B:
We pug what we know again.
[tex]y=\frac{1}{3}x+1\\(4)=\frac{1}{3}(-4)+1\\(4)=-\frac{4}{3}+1\\4\ne-\frac{1}{3}[/tex]
The point is not on this line so it can't be it.
Choice C:
We pug in what we know again.
[tex]y=3x-9\\(4)=3(-4)-9\\(4)=-12-9\\4\ne-21[/tex]
The point is not on this line so it can't be it.
The next one has to be it, but we'll check it just in case.
Choice D:
We plug in what we know again.
[tex]y= \frac{1}{2}x+6\\(4)=\frac{1}{2}(-4)+6\\(4)=-2+6\\4=4[/tex]
The point is on this line so this is the line.
20 POINTS
PLEASE HELP!
Find the slope of the line that passes through the pair of points.
(4, –4), (6, –4)
Answer:
0
Step-by-step explanation:
Im really bad at negative numbers someone please help!
Order [-25] [18] [-1] [26] from greatest to least.
The correct order is.....
Answer:
26, 18, -1, -25
Step-by-step explanation:
for easier understanding just draw a number line with integers for easier clarification.
... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...
26,18,-1,-25 is the answer from greater to least
The force required to stretch a spring by 1 m from its unstretched length is 150 N. What is the force required to stretch the spring by 3 m? 450 N
200 N
600 N
300 N
Answer:
450 N.
Step-by-step explanation:
By Hooke's law
Force = k * displacement so
150 = k * 1
So k = 150 and the equation is
F = 150 d
So when d = 3
F = 150 * 3 = 450.
steven has 5 more marbles than jon has, suppose s is the number of marbles that steven has, and j is the number of marbles that jon has. a. write an equation to describe how many marbles steven has. b. write a different equation to describe how many marbles jon has.
write a linear function with f with f (5) = -1 and f (0) = -5
Answer:
5y = 4x-25
Step-by-step explanation:
Let f(x) be regarded as y
So we have two points
(5,-1) and (0,-5)
We start by finding the slope of the line connecting the two points
m = y2-y1/x2-x1
m = -5+1/0-5 = -4/-5 = 4/5
The general equation of a straight line is;
y = mx + b
where m
is slope and b is the y-intercept
we already have the slope as 4/5
So;
y = 4x/5 + b
To get b, substitute one of the points
Let us use (0,-5)
-5 = 4(0)/5 + b
so b = -5
The equation is;
y = 4x/5 - 5
Multiply through by 5
5y = 4x - 25
You weigh a gallon of liquid in science class and learn that it is approximately 7.3 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.
Answer:
3.3 kg
Step-by-step explanation:
1 pound = 0.453592kilogram
so you just need to 7.3*0.453592= 3.3kilograms
Can you please help
Plzzzzzz
The sum of two numbers is 9. The difference in their squares is also 9. Find the numbers.
Answer:
5 and 4
Step-by-step explanation:
4 + 5 = 9
25 - 16 = 9
Answer:
4 & 5 i think
Step-by-step explanation:
1+8=9
2+7=9
3+6=9
4+5=9
Mass = 10 g
Density = Mass/volume
Volume of a cube = (side length)3
Now that you have the side length, determine the volume. Then use the density formula to calculate the density of the material. Record your observations by selecting the data table icon.
You may use a calculator for this section.
Measurement1.7 cm
FIRST ANSWER GETS BRAINLIEST
Answer:Hello! Here we have a cube, with a mass of 10g and a side length of 2.5cm.
First we want to determine the volume.
The volume of a cube, is equal to his cubic side length, where L is the side length:
So
So the volume of the cube is 15.625 cubic centimeters.
Now we want to calculate te density of the material, as you know:
This means that the density is 0.64 grams per cubic centimeter.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1. Determine the value: V=L^3
so, (1.7)^3= 4.913
2. Calculate the density: mass divided by volume
10 divided by 4.913= 2.0
Answer: 2
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth rate as a percent for that 15-year period?
A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –
Answer: D.5 and 2
because (-3;5) is a solution to the system of equations
[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]
Step-by-step explanation:
Which pair of triangles below can be shown to be similar using AA similarity?
350
700
890
67°
7670
249
1640
490
750
820
630
54°
Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.
What is similarity?
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
How to check similarity of triangle?
In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.
To check AA similarity we have to check whether two angles are equal in two triangles to be similar.
Learn more about similarity at https://brainly.com/question/24184322
#SPJ2
What is the equation, in slope-intercept form, of a line that passes through the points (-2, 4) and (3, -1)?
Answer:
Step-by-step explanation: The equation of the line passing through the points (2, –1) and (5, –10) is y = -3x + 5 .Jun 9, 2017
Is the ordered pair (2,4) a solution to the system of linear inequalities?
yes or no?
Answer:
yes
Step-by-step explanation:
When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
lorry + bricks = 11600kg
bricks = 3(mass of empty lorry)
lorry mass is x
there for bricks = 3x
x+3x = 11600
4x =11600
x= 2900kg
mass of bricks = 3(2900)
=8700kg
what is the difference of 2/4 and 1/3?
Answer:
2/4-1/3= 6/12-4/12
=2/12
=1/6
F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find
FG
Answer:
FG = 10
Step-by-step explanation:
EF = x + 2 ; FG = 2x - 6
F is the mid-point of EG. So, EF = FG
[tex] = > x + 2 = 2x - 6[/tex]
[tex] = > 2x - x = 6 + 2[/tex]
[tex] = > x = 8[/tex]
FG = 2×8 - 6 = 10