Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam
Answer:
mark of the fifth exam = 60
Step-by-step explanation:
Mean = sum of all marks / number of exam
Mean = 70
Number of exam = 5
Let x =
Mean = sum of all marks / number of exam
70 = (65 + 80 + 76 + 69 + x) / 5
Cross product
70 × 5 = (290 + x)
350 = 290 + x
350 - 290 = x
x = 60
mark of the fifth exam = 60
please help ill give brainliest
Solve the equation-7(x-2)= -84
Answer:
x = 14
Step-by-step explanation:
First, use the distributive property:
-7x + 14 = -84
-7x = -98
x = 14
Answer:
my answer got deleted for no reason so ill add it again with my way of solving it with steps this time.
x=14
Step-by-step explanation:
divide both sides by -7
[tex]\frac{-7(x-2)}{-7} =\frac{-84}{-7}[/tex]
simplify
[tex]x-2=12[/tex]
add two to both sides
[tex]x-2=12[/tex]
[tex]+2[/tex] [tex]+2[/tex]
simplify
[tex]x=14[/tex]
hope having another method helps :)
Find the exact length of the third side.
7.
3
Answer:
10
Step-by-step explanation:
Answer: it’s 2
Step-by-step explanation: so u subtract
403, 395,387,...
Find the 36th term.
Answer:
n=36
a=403
d=395-403=8
an=a+(n-1)d
a36=403+(36-1)395
=14228
Answer:
the answer is actually 123
Step-by-step explanation:
In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)
Answer:
D) (0,1) (2,3) (4,5)
Step-by-step explanation:
Explanation
Given Points are A(0,1) , B(2,3) , C(4,5)
slope of the AB
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]
Slope of BC
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]
Therefore slope of AB and BC are equal
The three points lie on same straight line
The three points are collinear points
If the pattern in the table continues when will sales for DVD players equal sales for mobile phones?
answer choices
never
year 2011
year 2010
year 2012
Answer:
never because they are continually increasing at the same rate without multiplying and dividing
Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.
1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.
Answer:
1 and 4
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
Only true statements out of the option
Help pls! Extra p! Thank youu
Answer:
(C) 48 ft^3
Step-by-step explanation:
Volume=L*W*H=6*4*2=24*2=48, making the correct choice (C) 48 ft^3
what is -2k + (-4k) + 5
Two groups were asked about the number of times
per week they exercise. Compare the groups
using the median and range...
Group 1: 6, 0, 3, 3, 1, 0, 1, 7
Group 2: 4, 5, 3, 2, 2, 6, 3, 3
phs
3
ables
Answer:
down below:)
Step-by-step explanation:
group 1 group 2
median: 1 median: 3
range: 6 range:4
The length of the two legs of a right triangle are 18 cm and 24 cm.
What is the length of the hypotenuse of the triangle?
O A. 30 cm
OB. 36 cm
OC. 42 cm
D. 48 cm
Answer: 30 cm
Step-by-step explanation: Take note that ^2 means to the second power.
a^2 + b^2 = c^2 (hypotenuse)
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
To find the length of c you have to find teh square root of 900.
√c^2 = √900
c = 30
The length of the hypotenuse is 30 cm!
Hope this helped!
If Jimmy has 5 apples and Sandra gives him 2 more how much does he have?
Answer:
He has 7
Step-by-step explanation:
5 plus 2 equals 7
Answer:
7 apples
Step-by-step explanation:
5 + 2 = 7
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?
Answer:
Step-by-step explanation:
.
Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations? Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime
The transformation is better described by: Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime
What is transformation?In mathematics, transformation is manipulating a figure on a plane or coordinate system.
In this case the manipulation involves reflection and scaling to a factor between 0 and 1
scaling to factor 0 means the triangle disappeared
scaling to factor 1 means the triangle remained same size
factors between 0 and 1 means reduction of size.
since the transformation did not rotate the triangle it makes the first option the correct answer
Read more on Transformation here:
https://brainly.com/question/2689696
Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.
Answer:
when y=65, x=20
Step-by-step explanation:
We are given:
y varies directly as x
and y=26, when x=8
We need to find x, when y = 65
y varies directly as x can be written as:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality.
Finding k, when y=26 and x=8
[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]
We get the value of k = 3.25
Now, we need to find value of x, when y=65 and k=3.25
[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]
So, when y=65, x=20
round to the nearest tenth
9514 1404 393
Answer:
21.4
Step-by-step explanation:
For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...
x = 21.4
__
If you want to actually go through the numbers, you know that ...
Cos = Adjacent/Hypotenuse
cos(21°) = 20/x
x = 20/cos(21°)
x ≈ 21.4
HELPPppPpPPpppppppp BRAINLIESTTTT
Choose the inequality symbol (>,
<
=
give the coordinates (1,4) after a translation 3 units up and 2 units to the left.
Answer:
The coordinates would be (3,7)
Find the length of side A
Answer:
D) 4
Step-by-step explanation:
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
HELP ME PLZZZ This is the only table I don't know,
Answer:
apples: 6/8 = $0.75 per apple
pears: 1.25/1 = $1.25 per pear
peaches: 1.50/1 = $1.50 per peach
bananas: 4/6 = $0.67 per banana
"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.
Step-by-step explanation:
I hope this helps :)
9. The diagram shows a triangle inscribed in a circle with centre O.
The lengths of the shorter sides of the triangle are 6 cm and 8 cm.
Work out the area of the circle.
Use π = 3.14.
Answer:
25π
Step-by-step explanation:
let c = length of third side of triangle
since you are working with a right triangle you can find the third side by using the pythagorean theorem: 8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
c = 10
10 is also the diameter of the circle and radius is 5
A = π · r²
A = 5^2÷ (3 ^4 · x^24 · y^12)
A = 25π
NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:) If anybody needs any information on how to pull it up, there should be a link that says download Docx if that helps.
9514 1404 393
Explanation:
1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."
If it is broccoli, then it is a vegetable.
__
2. The hypothesis is the "if-" part:
(If) it is broccoli
__
3. The conclusion is the "then-" part:
(then) it is a vegetable
__
4. The converse interchanges the hypothesis and conclusion:
If it is a vegetable, then it is broccoli.
__
5. The converse is false. A potato is a vegetable, but is not broccoli.
__
6. The inverse negates the hypothesis and conclusion:
If it is not broccoli, it is not a vegetable.
__
7. The inverse is false. A potato is not broccoli, but is a vegetable.
__
8. The contrapositive is the inverse of the converse:
If it is not a vegetable, it is not broccoli.
__
9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.
I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP
Answer:
I think it is 3^8
Step-by-step explanation:
(3^5)^2
÷
3^-2
3^10
÷
3^-2
=3^8
Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is
Answer:
63
Step-by-step explanation:
7x+9x=112
16x=112
x=7
7(7)=49
9(7)=63
Therefore 63 is the larger number
Marcie likes to collect stickers, but she also likes to give them away. Currently, Marcie has 87 stickers in her collection. If Marcie collects 5 new stickers each week and gives away 3 stickers each week, how many stickers will Marcie have in her collection after 5 weeks?
Answer: 97 stickers
Step-by-step explanation:
Marie has 87 stickers in her collection.
Each week she collects 5 and gives away 3.
The total number of stickers she gains per week is therefore:
= 5 - 3
= 2 stickers per week
In 5 weeks therefore, she would have collected:
= 2 * 5
= 10 stickers
Add that to the original number:
= 87 + 10
= 97 stickers
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
https://brainly.com/question/11859895?referrer=searchResults