The minimum average score Ethan can earn on his fifth and final test is option (D) 60% is the correct answer.
What is an average?An average of a list of data is the expression of the central value(mean) of a set of data. Average is calculated by adding quantities together and dividing the total by the number of quantities.
For the given situation,
The scores for 4 exams are 68%,72%, 85%, and 90%.
Let the score for the fifth test be x.
Formula for the average,
[tex]A = \frac{Sum of individual scores}{Total number of tests}[/tex]
⇒ [tex]75=\frac{68+72+85+90+x}{5}[/tex]
⇒ [tex]375=315+x[/tex]
⇒ [tex]x=60[/tex]
Hence we can conclude that the minimum average score Ethan can earn on his fifth and final test is option (D) 60% is the correct answer.
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3n - 17 = -50
two step equations help please
Answer:
n = -11
Step-by-step explanation:
3n - 17 = -50
⇒ 3n = -33
⇒ n = -11
Answer:
n = -11
Step-by-step explanation:
3n - 17 + 17 = -50 + 17
3n = -33
3n/3=-33/3
n = -11
GUYS I NEED HELP PLEASE 20 POINTS ASAP
Answer:
58.28 Sq in
Step-by-step explanation:
Area of the composite figure
=Area of trapezoid + Area of semicircle
[tex] = \frac{1}{2} (15 + 11) \times 4 +\frac{1}{2} \times 3.14\times 2^2 \\ \\ = 26 \times 2+6.28 \\ \\ = 52+6.28=58.28 \: {in}^{2} [/tex]
Evaluate the expression for r = 9. 15 + r =
r + 8 > 21 what the ansr
Answer: r>13
Step-by-step explanation:
The sign is less than so r +8 has to be 20 or less.
PLZ HELP WILL GIVE BRAINLY PLZZ Quadrilateral ABCD is reflected across line m to create
quadrilateral A'B'C'D'.
c'
B В
С
D'
30
D
81
72
22
20
32
m
117
B
A
What is the perimeter of quadrilateral ABCD?
Answer:
102
Step-by-step explanation:
On quadrilateral ABCD it shows BC = 20 and CD = 30
20+30 = 50
on quadrilateral A'B'C'D'
it says B'A' = 22
and D'A' = 32
22+32 = 52
52+50 = 102
Answer:
55units
Step-by-step explanation:
(IMPORTANT!!!) Identify the function shown in this graph.
Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years
Answer:
The worth of the TV after 3 years is £809.90208
Step-by-step explanation:
The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine
The given parameters of the TV are;
The amount at which Collin buys the TV, P = £720
The rate at which the TV depreciates at, R = 4%
The number of years the depreciation is applied, T = 3 years
The amount the TV is worth after three years, 'A', is given as follows;
[tex]A = P \cdot \left(1 + \dfrac{R}{100} \right )^T[/tex]
By plugging in the known values, we have;
[tex]A = 720 \cdot \left(1 + \dfrac{4}{100} \right )^3 = 809.90208[/tex]
The amount the TV is worth after three years, A = £809.90208
PLEASE HELP!!!! DUE TODAY!!!
Bidet used a computer algebra system (CAS) to find the quotient of (4x^3+2x^2+3x+5)^2 and x^2+3x+1. Which statement correctly shows a way to enter this problem into a CAS?
A. Division[4x^3+2x^2+3x+5^2, x^2+3x+1]
B. Division[ (4x^3+2x^2+3x+5)^2] [x^2+3x+1]
C. Division[ (4x^3+2x^2+3x+5)^2, x^2+3x+1]
D. Division[2 (4x^3+2x^2+3x+5), x^2+3x+1]
=============================================================
Explanation:
It honestly depends on the CAS program, but for GeoGebra for instance, the general format would be Division[P, Q]
Where,
P = numerator = (4x^3+2x^2+3x+5)^2Q = denominator = x^2+3x+1As another example, let's say we want to divide x^2+5x+6 all over x^3+7 as one big fraction
We would type in Division[x^2+5x+6, x^3+7]
5. In the picture shown, point D is the image of point A after a clockwise rotation about point C
by 136 . Points B, C, and D are collinear. Which statement below must be true?
Answer:
hhmmmmmhmmmm hmhmmmm hmmm yeah i got nothing
Step-by-step explanation:
HELP!! due right now!! giving brainlest?
Answer:
45
Step-by-step explanation:
7+11= 18
18/2=9
9*5=45
y=1x+2 y=3x-4 use substtiution
Answer:
3Y - 4X - 4
Step-by-step explanation:
What is the surface area of a cylinder with a base diameter of 8 inches and a height of 5 inches. Use 3.14 for pie.
Answer:
surface area=226.12 in^2
Step-by-step explanation:
8x3.14x5=circular area=125.6
(8/2)^2 x 3.14=0ne end of cylinder area=50.26
125.6+50.26+50.26=226.12
2x - 2y = 4
- x + y = - 2
Answer:
infinitely many solutions
Step-by-step explanation:
What the answer to this -8 x -6 =
Answer:
48
Step-by-step explanation:
Solve the system using elimination. 3 x plus 3 y equals 27. x minus 3 y equals negative 11.
Answer:
- 5/4
Step-by-step explanation:
Answer:
x=4 and y=5 commonly notated as (4,5)
Step-by-step explanation:
The equations
Equation 1: 3x+3y=27
Equation 2: x-3y= -11
The second equation looks like it will be the easiest to rearrange.
x-3y = -11
add 3y to each side to get
x = 3y-11
Substitute that in for x in equation 1 so
3x+3y=27
turns into
3(3y-11) +3y =27
multiply out to get
9y-33+3y =27
Condense variables
12y-33=27
add 33 to each side
12y= 60
Divide by 12
y = 5
Plug into one of the original equations (I will be doing both to show it doesn't matter what equation you use, but you only need to use one equation, I personally think it is easier to plug into the second equation)
Equation 1: 3x+3y=27
Plug in what we got for y
3x+3(5)=27
multiply
3x+15=27
subtract 15 from each side
3x=12
divide by 3
x=4
Equation 2: x-3y = -11
Plug in what we got for y
x-3(5) =-11
Multiply
x-15= -11
Add 15 to each side
x=4
Write an equation that represents the line.
Answer:
COORDANITE GRID
Step-by-step explanation:
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!
Answer: x = 1 and y = 2
Step-by-step explanation:
Solve for y in the first equation by adding 2x to both sides
[tex]y=2x[/tex]
Then plug this in for the y value in the second equation
[tex]3x+4(2x)=11[/tex]
Combine like terms and simplify
[tex]3x+8x=11\\11x=11\\x=1[/tex]
Plug x into either equation to find the y value
[tex]y=2x\\y=2(1)\\y=2[/tex]
Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar?
Answer:
She pays 0. 05$
Step-by-step explanation:
Cost per once is 40, peanut butter is 5. 20 divide those 2 you will get 0. 13
Now divide it by the butter price 2. 70/15
It will be 0. 18
Subtract 0. 18-0. 15
Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar?
She pays 0.05$
expression equivalent to -3 - 8
Answer:-11
Step-by-step explanation: -3+-8=-11
Find the value of x in the triangle shown below.
Answer: x = 5
Step-by-step explanation:
Use Pythagorean's Theorem
[tex]a^2+b^2=c^2\\12^2+x^2=13^2\\144+x^2=169\\x^2=25\\x=5[/tex]
what is the value of w?
Answer:
12.58
Step-by-step explanation:76+70-360/17=w
w = 2
70+76= 146
180-146=34
17w = 34
divide by 17 on each side
answer is w=2
If a = 3t - 10 and b = 8-t, which of the following
expresses b in terms of a ?
Answer:
Your answer is. a=14-3b
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The equation of 'b' in terms of 'a' will be b = (14 - a) / 3.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equations are given below.
a = 3t - 10 ...1
b = 8 - t ...2
From equation 2, then we have
b = 8 - t
t = 8 - b
Put the value of t in equation 1, then we have
a = 3(8 - b) - 10
a = 24 - 3b - 10
a = 14 - 3b
3b = 14 - a
b = (14 - a) / 3
The equation of 'b' in terms of 'a' will be b = (14 - a) / 3.
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The population of a town is decreasing at a rate of 1% per year. In 2015 there were 1300 people. Use an exponential function to find the population in 2023.
Answer:
500 i belive sorry if i wroung
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST
Answer:
ITS A 100% B
15z-12
Step-by-step explanation:
i neeeddddd helpppppppp plllllzzzz
Step-by-step explanation:
-3x + 7y = 5x + 2y (you subtract the 2y from both sides)
-3× + 5y = 5x (then add 3x to both sides)
5y = 8x (use x = - 5)
5y = 8x - 5 = -40 (both sides are divided by 5)
y = -8
answer is (-5, -8)
18
Calculate the following leaving your answer in standard form.
(1 Point)
[tex]3 \times 10 { }^{2} + 2 \times 10 {}^{3} [/tex]
could someone answer this pls thank u
Given:
The area model.
The area of the shape is 82 square units.
To find:
The correct equation for the given situation.
Solution:
We know that, area of a rectangle is
[tex]Area=Length \times Width[/tex]
The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is
[tex]A_1=(x)\times (3x)=3x^2[/tex]
[tex]A_2=(x)\times (4)=4x[/tex]
[tex]A_3=(3)\times (3x)=9x[/tex]
Now, the total area is equation to 82 square units.
[tex]A_1+A_2+A_3=82[/tex]
[tex]3x^2+4x+9x=82[/tex]
[tex]3x^2+13x=82[/tex]
Since the required equation is [tex]3x^2+13x=82[/tex], therefore, the correct option is C.
Is 6 a factor of 327 + 8?
Find a. Round it to the nearest tenth
Answer:
42637646e6r7r7e7464664
plssss help i just cant figure it out