Answer:
26 papers
Step-by-step explanation:
Well this is pretty straight forward
if he can grade 6 papers an hour
we just multiply 6 by 7 to get how many papers he graded in 7 hours
6*7= 42
now we subtract 42 from 68 to get how many papers are left to be graded
68-42=26
26 papers are left
A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.
Help me please
Answer:
V = 40 km/h
Step-by-step explanation:
Total distance = 120 km
Constant speed of train = V km/h
⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]
Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,
[tex]Speed \times Time = Distance[/tex]
[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]
[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]
[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]
[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]
[tex]=> V^2 - 10V - 1200 = 0[/tex]
Factorise the quadratic equation.
[tex]=> V^2 - 40V + 30V - 1200[/tex]
[tex]=> V(V - 40) + 30(V - 40)[/tex]
[tex]=> (V - 40)(V + 30)[/tex]
[tex]=> V = 40 \: (or) \: -30[/tex]
Speed can't be negative. So , V = 40 km/h
Find x
A: 11.2
B: 13.1
C: 9.2
D: 22.9
Hi there!
[tex] \large{tan35\degree = \frac{x}{16} }[/tex]
We can also use the other angle but I will focus on 35°.
The reason why we use the equation above because tan is equivalent to opposite/adjacent
From the picture, the opposite is x-term while the adjacent is 16 if we focus angle 35°.
Define theta = 35°. Thus, the equation would be tan35° = x/16.
Solving the equation, you might want to bring open Trigonometric Table or a calculator to calculate tan35°. You should get 0.7 (rounded)
[tex] \large{0.7 = \frac{x}{16} }[/tex]
Then solve the equation for x-term.
[tex] \large{0.7 \times 16 = x} \\ \large{x = 11.2}[/tex]
Hence, the value of x is 11.2
Answer
11.2Questions about the problem be asked through comment.
Furthermore, you can also use the other angle. If we use 55° instead, the equation would be tan55° = 16/x. The outcome would be the same.
Hope this helps, and Happy Learning! :)
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
I NEED HELP PLSS ITS LIKE 200 POINTS
Answer:
y=-3/2x+3
Step-by-step explanation:
(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.
This leaves the first and last choice only.
We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope
1.
Tom has a badge collection. He buys more so that his collection increases by 35%.
He originally had 20 badges. How many badges does he
have now?
7%
please help i will give an extra 40 if you do
Answer:
area of the right triangle=1/2×7×5
=17.5 square feet
Pls hurry
Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29.
Step-by-step explanation:
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29Pls hurry
Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29..
What is the median of this data set?
{3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15}
Answer:
Hi, there your answer is 9.5
Median=10
9 + 10 = 19
19 ÷ 2 = 9.5
Step-by-step explanation:
Sorry my bad I forgot to add and divide
Answer:
The median would be 9.5
Step-by-step explanation:
To find our answer we will first put them in numerical order:
3, 5, 7, 8, 8, 9, 10, 10, 10, 11, 12, 15
Now that we have the numbers in order, we will find the middle numbers. Since the middle numbers are 9 and 10, we will add them both and divide them by 2.
9 + 10 = 19
19 ÷ 2 = 9.5
Therefore 9.5 is our answer!
The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elevator is 20 feet below ground level. Did the elevator travel up or down? What was the speed (in ft per second) of the elevator in the 15 second interval?
This is due at 8am tomorrow please help me
between which two consecutive numbers does the square root below lie ?
[tex] - \sqrt{128} [/tex]
Answer:
where is the second one?
Step-by-step explanation:
SOMEONE!!!
QUESTION: What is the measure of each angle in a regular polygon with 6 sides?
Answer:
polygon do all the number times each outher divided in half then times 6 for the hight and langht
Step-by-step explanation:
The school has two separate buildings, one is shaped
like a triangle and the other a rhombus. The base of
the triangle is 100 meters and the height is 150
meters, what is the area? The rhombus is a kite shape
with one diagonal 50 meters and the other 40 meters,
what is the area?
Answer:
250 = triangle
90 = rhombus
(i think, its all i know)
Step-by-step explanation:
just use 1/2 x b x h for triangles
and A = l x w for rectangles
According to the graph, what is the value of the constant in the equation below?
Height= Constant/Width
(4,5) (5,4) (10,2) (20,1)
A. 1
B. 10
C. 5
D. 20
Answer:
20
Step-by-step explanation:
AP EX Confirmed
what is the angle from x
Answer:
133° because vertically opposite angles are equal!
Hope this helped!
Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35
when did the united states get it independence
Answer:
4th July 1776
Step-by-step explanation:
4th July is marked as independence day
Given the vertices of M(1, 5) A(-1, 2), T(1, -1) H(3, 2), prove that MATH is a rhombus.
Step-by-step explanation:
i have solved the question
what is the area of a triangle with base 18cm and height 4cm
Answer: The area of the triangle would be “36cm^2”
Explanation: To find the area of a triangle you multiply the height and base and divide it by 2 so it would look like this 18 x 4 = 72 then 72/2 which is 36cm^2.
Have a nice day!
Answer:
Area=36
Step-by-step explanation:
18x4=72
72/2=36
ill give brainliest to the correct answer
Answer:
312 inches
Step-by-step explanation:
Surface Area = 2×(8×12 + 8×3 + 12×3) = 312 inches
Answer:
312
Step-by-step explanation:
(12x3)x2=72
(12x8)x2=192
(8x3)x2=48
72+192+48=312
Find the length of the slide board. Round your answer to the nearest tenth place.
Answer:
22.8
Step-by-step explanation:
(18²+14²)½
= 22.8
An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?
Answer:8x5x3.4= 132 feet squared
Step-by-step explanation:
can anyone help me ?
Answer:
d
Step-by-step explanation:
The sum of the angles of a triangle is ALWAYS 180 degrees.
Which expression is equivalent to the following?
[tex]sin^4(x)-cos^4(x)[/tex]
This is basically calculus......
Step-by-step explanation:
[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]
[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]
[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]
[tex] = 2\sin^{2}x - 1[/tex]
[tex] = - \cos2x[/tex]
Note: I used the identity
[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]
for the last step.
PS. I love proving trigonometric identities!
The type of book that the students at a middle school prefer to read is shown in the table. Type of Book Number of Students Mystery 45% Science-fiction 35% Non-fiction 5% Fantasy 15% Tanner wants to make a circle graph of the data. How many degrees would be used for the section representing the students who prefer to read fantasy books?
A 15°
B. 27°
C. 45°
D. 54°
E 75°
Find the Missing Angle!!!!
The control limits, calculated as three standard deviations from the sample mean, imply that _________ of the sample points are expected to fall between the upper and lower control limits.
Answer: 99.7%
Step-by-step explanation:
A control chart is used in the identification of the assigned causes of variation for a process. The control limits are refered to as the horizontal lines that are below and above the center line which are used in judging whether a particular process is out of control.
In this case, the control limits, which is calculated as three standard deviations from the sample mean, simply means that about 99.7% of the sample points will be expected to fall between upper and lower control limits.
The question was not clear for me! Help :(
Answer:
0.1 , 0.2 , 0.05
Step-by-step explanation:
*each column adds to 1*
20 x 1/2 = 10
1/2 x 20 x 0.1 = 1
top left box = 0.1
; 5 x 2 x 0.1 = 1
1/2 x 10 = 5
; 0.2 x 1/2 x 10 = 1
bottom middle box = 0.2
; 5 x 1 x 0.2 = 1
; 2 x 10 x 0.05 = 1
middle right box = 0.05
; 20 x 1 x 0.05
students who buy tickets at a local movie theater receive a 10% discount on the price of a ticket. what is the total price for the 4 students tickets if the regular cost per ticket is $6.00.
options- $21.60, $26.40, $6.60, or $5.40
Answer:
$21.60
Step-by-step explanation:
Answer:
Answer is $ 21. 60
Step-by-step explanation:
$22 or 21.60 in decimal form
Step-by-step explanation: $6.00 - 10% is 5.4
5.4 + 5.4 +5.4+5.4 is 21.60
you can also round this off and get the answer as $ 22 .
Hope this answer helps you :)
Have a great day
Mark brainliest
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
Connie is 4 years younger than Max. Max is twice as old as Tom. If Tom is t years old, how old is Connie in terms of t?
Answer:
8t
Step-by-step explanation:
c = 4m
m = 2t
c = 4(2t) = 8t
Answer:
2t-4
Step-by-step explanation:
Tom: t.
Max is twice as old as Tom - 2t.
Connie is 4 years younger than Max - 2t-4.
So, Connie is 2t-4 years.
Please mark me as brainliest if you like the answer! :)