Answer:
2/5
Step-by-step explanation:
Defining x the weight of each quarter grades (4x for the 4 quarter grades), then the weight of the mid-term exam grade is 2x, and the weight of the final exam is 4x. The addition of all grades is 4x + 2x + 4x = 10x (this represents the combination of grades that makes the final course grade).
So, the final exam grade represents 4x/10x = 2/5 of the final course grade.
Answer:
2/5
Step-by-step explanation:
just did the test
- The Blast Off Music Company makes CDs and DVDs. The company can make a total of 500 CDs and DVDS
each day. It costs $8 to make each CD and $10 to make each DVD. The company can spend $4800 for
production costs each day. How many individual CDs and DVDs can The Blast Off Music Company make in
one day?
Let C represent number of CDs and D represent number of DVDs.
We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:
[tex]C+D=500...(1)[/tex]
[tex]C=500-D...(1)[/tex]
We are also told that it costs $8 to make each CD, so cost of C, CDs would be [tex]8C[/tex].
It costs $10 to make each DVD, so cost of D, DVDs would be [tex]10D[/tex].
We have been given that the company can spend $4800 for production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:
[tex]8C+10D=4800...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]8(500-D)+10D=4800[/tex]
[tex]4000-8D+10D=4800[/tex]
[tex]4000+2D=4800[/tex]
[tex]4000-4000+2D=4800-4000[/tex]
[tex]2D=800[/tex]
[tex]\frac{2D}{2}=\frac{800}{2}[/tex]
[tex]D=400[/tex]
Therefore, the company can make 400 DVDs in one day.
Upon substituting [tex]D=400[/tex] in equation (1), we will get:
[tex]C=500-D \Rightarrow 500-400=100[/tex]
Therefore, the company can make 100 CDs in one day.
If 5x² + 7x = 6, which statement is correct?
A)
X= 2 or x= 3/5
x = -2 or x= 3/5
x = 2 or x =-3/5
x = -2 or x = -3/5
Answer:
2nd choice: x = -2 or x= 3/5
Step-by-step explanation:
5x² + 7x = 6
We can solve.
5xx + 7x - 6 = 0
try the diamond method first
-30 = 5*-6.... -3*10 = -30 and -3x + 10x = 7x
So...
5xx - 3x + 10x - 6 = 0
x(5x - 3) + 2(5x - 3) = 0
(x +2)(5x - 3) = 0
roots x = -2 and x = +3/5
Answer:
The correct answer is x=-2 or x=3/5. I found this answer by using an app called Photomath, you should download it. it really helped me :)
within a radius of 4.9 miles of a cell phone tower, 1483 people per square mile enjoy quality phone signals. what is the population of cell phones users within the towers converage area
Answer:
The population around the tower is 111,862 people.
Step-by-step explanation:
In order to solve this problem we first need to calculate the area surrounded by the tower, since it's a circle we can apply the following formula:
tower area = pi*r²
tower area = pi*(4.9)² = 75.4296 miles²
For every mile² there are 1483 people, therefore:
population = area*density
population = 75.4296*1483 = 111,862
The population around the tower is 111,862 people.
The coordinates of the vertices of parallelogram CDEH are C(-5, 5), D(2, 5), E(-1, -1) and H(-8, -1). What are the coordinates of P, the point of intersection of diagonal CE and DH?
Answer:(-3,2)
Step-by-step explanation:
The coordinates of the intersection point P of the diagonal CE and DH is (-3,2)
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
What is Vertices of Parallelogram?The vertices of the parallelogram are the corners of a polygon or the point where any two sides of the parallelogram meet
Given,
Vertices of the parallelogram CDEH= C(-5,5), D(2,5), E(-1,-1) and H(-8,-1)
Parallelogram diagonals are CE and DH
Since the diagonals of the parallelogram bisects each other, mid point of the CE and DH will be the intersecting point of diagonals
Using the mid point theorem,
Mid point of CE is,
C(-5,5) and E(-1,-1)
x= [tex]\frac{-5-1}{2}=-3[/tex]
y = [tex]\frac{5-1}{2}=2[/tex]
Mid point of the CE is (-3,2)
Hence, the coordinates of the intersection point P of the diagonal CE and DH is (-3,2)
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A bakery sells giant cookies, sheet cakes and 3-tiered cakes. The time required for each step is given in the matrix below
Answer:
answer is sheet cake aka B on edge
Step-by-step explanation:
Which transformations are needed to change the parent cosine function to the cosine function below?
On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 3. It goes through 2 cycles at 2 pi.
vertical stretch of 2, horizontal stretch to a period of 2 pi, phase shift of StartFraction pi Over 2 EndFraction units to the right, vertical shift of 1 unit up
vertical compression of 2, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the left, vertical shift of 2 units down
vertical compression of 2, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 3 EndFraction units to the left, vertical shift of 1 unit down
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Answer:
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Step-by-step explanation:
If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2, and after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3
Answer:
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Step-by-step explanation:
Please Help! I don't know how to do this!
(3x^2+7x-4)-(6x^2-6x+1)
Answer:
-3x^2+13x-5
Step-by-step explanation:
you're basically just combining the like terms
3x^2+7x-4-6x^2+6x-1
-3x^2=13x-4-1
-3x^2+13x-5
Answer: -3^2+13x-5
Step-by-step explanation:
Remove parentheses.
3x^2+7x -4 - 6x^2 +6x -1
Collect like terms.
(3x^2-6x^2) + ( 7x + 6x) + ( -4 -1)
Simplify
-3^2+13x-5
Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to work out late at night for an extra fee of $4 per visit. If Bella's first monthly bill totaled $53, which equation can be used to determine how many times Bella worked out after hours?
Answer:
25+4x=53 is the equation you would need to determine how many times she went after hours.
Step-by-step explanation:
if you also need to know how many times she went after hours. she went 7 times so x=7
please give brainliest if this helps
Factor the polynomial using the pattern.
x2 - 9x + 20
Answer: To factorize the quadratic expression
x2−9x+20, one must find the two numbers that add together to give 9, and multiply together to give 20. Those two numbers are 4 and 5, which factor into the expression
(x−4)(x−5). The signs are due to the fact that the first sign in the expression is a positive, which tells us that both signs must be the same, and the first sign is a negative, which means that, due to the positive sign in the expression, both signs are negative. To do the opposite, expanding, one must multiply
x by x, to get x2, add together 4 and 5 to get 9, and multiply them to get 20.
Answer:
Answer: To factorize the quadratic expression
x2−9x+20, one must find the two numbers that add together to give 9, and multiply together to give 20. Those two numbers are 4 and 5, which factor into the expression
(x−4)(x−5). The signs are due to the fact that the first sign in the expression is a positive, which tells us that both signs must be the same, and the first sign is a negative, which means that, due to the positive sign in the expression, both signs are negative. To do the opposite, expanding, one must multiply
x by x, to get x2, add together 4 and 5 to get 9, and multiply them to get 20.
Step-by-step explanation:
HELP NOW OR ELSE!
Which expressions are equivalent to 2(5)^4
2 times 5 times 4
2 times 5 times 5 times 5 times 5
2 times 4 times 4 times 4 times 4 times 4
10 times 10 times 10 times 10
2 times 5 times 4 is your answer
what is y+2=3/2(x+6) in standard form
It may be wrong :(
but i hope it helps
I need help finding the factor!
please
Answer:
(x-8) (x-4)
Step-by-step explanation:
x^2 -12x +32
What two numbers multiply to 32 and add to -12
-8*-4 = 32
-8-4 = -12
(x-8) (x-4)
Answer:
(x - 4)
Step-by-step explanation:
x² - 12x + 32
x² - 8x - 4x + 32
x(x - 8) - 4(x - 8)
(x - 8)(x - 4)
Find the area of the shape shown below.
4 10 20
Answer:you cant find the area with the numbers the problem wouldn't do that but the perimater is (34)
Step-by-step explanation:
Answer:
240 units2
Step-by-step explanation:
10*20=200 + 10*4= 40
=240
Which of the following functions generates the sequence 0, 2, 4, 6, ...?
Answer:
F(n) = 2n – 2
Step-by-step explanation:
The sequence 0, 2, 4, 6
First, let us determine if the sequence is arithmetic progression (A.P) or geometric progression (G.P)
This is illustrated:
Let us calculate the common difference (d)
Common difference (d) = 2nd term – first term
Common difference (d) = 3rd term – 2nd term
=> 2 – 0 = 2
=> 4 – 2 = 2
The common difference (d) = 2.
Common ratio (r) = 2nd term /1st term
Common ratio (r) = 3rd term /2nd term
=> 2/0 = undefined
=> 4/2 = 2
There is no common ratio.
Since we have a common difference, therefore the sequence is arithmetic progression.
Now, let us obtain an expression for the sequence.
This can be obtained by using the arithmetic progression formula as shown below:
F(n) = a + (n – 1)d
a is the first term
n is the number of term
d is the common difference.
The sequence 0, 2, 4, 6
The first term (a) = 0
Common difference (d) = 2
F(n) = a + (n – 1)d
F(n) = 0 + (n – 1)2
F(n) = 2n – 2
If 65% of a shape is shaded, what percent is NOT shaded?
Answer:
35%
Step-by-step explanation:
65%= .65
100-.65=.35
.35=35%!
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 4 ≤ x ≤ 12? A) 1 B) 2 C) 3 D) 4
The average rate of change will be given by 16a + b
What is average rate?Average Rate: A single rate that applies to real estate at many locations and is calculated as the weighted average of the various rates that are appropriate at each site.
It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given:
A general quadratic function of x is given by f(x) = ax² +bx +c
Now, the rate of change of the function f(x) is given by df(x)/ dx.
Therefore, df(x)/ dx = 2ax+ b
Now, the value of x ranges between 4 ≤ x ≤ 12.
So, at x= 4
df(x)/ dx = 2a(4) + b= 8a+ b
and, x= 12
df(x)/ dx = 2a(12) + b= 24a+ b
Thus, the average rate of change will be given by
(8a+ b) + (24a+ b) / 2
= 32a+ 2b/ 2
= 16a + b
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Look at this inequality.
−0.2x+1.2<1.1
To solve the inequality -0.2x+1.2<1.1, we subtract 1.2 from both sides and then divide by -0.2, which flips the inequality, resulting in x > 0.5.
To solve the inequality [tex]\frac{1.2}{-0.2x+1.2} < 1.1[/tex], we can follow a step-by-step process. First, we isolate the variable on one side. We'll subtract 1.2 from both sides of the inequality:
-0.2x+1.2-1.2 < 1.1-1.2
-0.2x < -0.1
Then we divide both sides by -0.2, remembering that dividing by a negative number will flip the inequality sign:
[tex]x > \frac{0.1}{0.2}[/tex]
x > 0.5
This means that for the inequality to hold true, x must be greater than 0.5. It's also important to note that by understanding the properties of inequalities and the operations performed on them, we can easily solve these mathematical statements.
A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.
Which expression and value represent the total the instructor will charge a student for x hours of lessons in a month and the amount the instructor would charge a student for 15 hours of lessons in a month?
$20.25 – x; $15
$20.25 + x; $25.50
$20.25 – $5.25x; $58.50
$20.25 + $5.25x; $99
Answer:
suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,
2x+y=25
50x+30y=690
to get the values of x and y we solve the quadratic equation given;
from the top equation:
y=25-2x.......i
substituting i in our second equation we get:
50x+30(25-2x)=690
50x+750-60x=690
-10x=-60
thus;
x=6
hence we conclude that the number of 2 hours classes are 6 hours
Step-by-step explanation:
The expression representing the total charge for x hours of piano lessons is $20.25 + $5.25x, and for 15 hours, the total charge would be $99.
Explanation:The correct expression to represent the total charge for a student who takes x hours of piano lessons in a month at $20.25 per month and $5.25 per hour is $20.25 + $5.25x. To calculate the amount the instructor would charge for 15 hours of lessons, we substitute x with 15:
Total charge for 15 hours = $20.25 + $5.25(15) = $20.25 + $78.75 = $99.
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At the start of 2015, Barry's house was worth £270000.
The value of his house increased by 3% every year.
Work out the value of his house at the start of 2020
Answer:
£310500
Step-by-step explanation:
3% of 270000=8100
difference between 2020 and 2015=5 years
8100×5=40500
40500+270000=310500
pls give me brainliest
Pls help!
What is the surface area of the pyramid_____ units2
Answer:95units2
Step-by-step explanation:
1/2x7x5+5x5=95
What is the mean of the data set?
17, 24, 26, 13
Pls I need this fast
So the right answer is 20.
Look at the attached picture⤴
Hope it will help u...
Answer:
20 is the answer
Step-by-step explanation:
17+24+26+13=80
80 divided by how many numbers are in the data set so, 80 divided by 4 is 20.
Hoped this works!
Summit Plummet's big drop starts at point A(0, 120) and ends at point B (56, 0). What's the slope from point A to point B?
Answer:
15/-7
Step-by-step explanation:
slope is y(2) - y(1) / x(2) - x(1)
120-0/0-56
120/-56
simplified
The slope from point A to point B is found by dividing the rise by the run. With a rise of -120 and a run of 56, the slope is approximately -2.14, indicating a downward slope from A to B.
To find the slope from point A to point B, we can use the formula slope = rise/run. In this scenario, point A is at (0, 120) and point B is at (56, 0).
First, determine the rise, which is the change in the y-coordinates (vertical change). The rise is 0 - 120 = -120.
Next, determine the run, which is the change in the x-coordinates (horizontal change). The run is 56 - 0 = 56.
Now, we can calculate the slope: slope = rise/run = -120/56 = -2.14
What is the length of BC?
Helppp
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Actually, when you look at it, it' very simple.
So as you kno triangles always = 180
That makes this way easier when you think about it
Let's add the angels together
90+45= 135
Now we need to find the value of the missing angle
180-135= 45
So 45 is the missing angle
Since m∠C≈m∠B he side length (AB) is also 8
Now we can find the length of the hypotenuse
[tex]\sqrt{a^2 +b^2}[/tex]
a and b are the side lengths so just plug them in
[tex]\sqrt{8^2 + 8^2}[/tex]
Now you solve
Exact Form: 8[tex]\sqrt{2}[/tex]
Decimal Form: 11.31
Last softball season, Jenny hit 32% of the times she was at bat. If she had 80 hits, how many times was she at bat?
I think the answer is 26 because you have to take 32% of 80.
-Dhruva;)
Jenny was at bat 250 times.
What is the percentage?The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition, the sign "%" is used to indicate that a number is a percentage. In stores, online, in commercials, and in the media, percentages are nearly always present. A crucial talent that may help you save time and money and raise your employability is the ability to comprehend what percentages represent.
Given jenny hit 32% of the time when she was at bat and also she had 80 hits. let's assume she had a total of x hits. so 32% of x will be equal to 80.
From that,
32% x = 80
32*x = 80 * 100
x = 250
Hence, Last season ball jenny was at bat 250 times.
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Subtract the equations.
Answer:
0x+2y=22
Step-by-step explanation:
Set them equal to each other, (5x+4y=25)-(5x+2y=3). Distribute the negative into the right equation, (5x+4y=25)(-5x-2y=-3). Then combine like terms to get your answer.
Bernie drove from his house to his cousin's house in 6 hours at an average rate of 52 miles per hour he drove home at an average rate of 60 miles per hour how long did it take him to drive home
Answer:
7.5
Step-by-step explanation:
You have to divide the miles by the hours drived and then divide 60 per the miles per hour
Answer:
5.2 hours, or 5 hours 12 minutes
Step-by-step explanation:
The distance is the same in both cases. Since distance = rate (time),
time = distance / (rate).
Here, (6 hr)(52 mph) = (time)(60 mph, or
312 mi = (60 mph)(time), which gives us
(time) = (312 mi) / (60 mph) = 5.2 hours, or 5 hours 12 minutes
A path through the middle of a circular garden is 14 feet long. [a] What is the distance around the outside of this garden? [b] What is the area of the garden? Use 3.14 for π.
Answer:
a. 43.96 feet
b.153.86 square feet
Step-by-step explanation:
Hi, the path through the middle of the circular garden is the diameter.
Since the diameter is equal to:
Diameter = 2 radius (r)
Solving for r
14 =2r
14/2 = r
r = 7 feet
The distance around the outside of this garden is the perimeter.
Perimeter of a circle (P) = 2 π r
Replacing with the values given:
P = 2 (3.14) 7 = 43.96 feet
b. area of the circle-
Area of a circle (A)= π r²
Replacing with the values given:
A = 3.14 (7²) =153.86 square feet
Can somebody please help me with this ?
Answer:
50
Step-by-step explanation:
the angles in a triangle will add up to 180 degrees
A meteorologist reports that the temperature today will be colder than −1° Fahrenheit. The inequality is t < −1. The variable t represents the temperature. A number line going from negative 2 to positive 2. Which numbers are solutions of the inequality? Choose all that apply. –2 0 1 –10 –3 –1
For the inequality t < -1, the numbers that are solutions to this inequality are -2, -3, and -10, as they are all less than -1.\
The inequality in question is t < -1, which indicates that the temperature (t) is colder than -1 degrees Fahrenheit. On a number line from -2 to +2, the numbers that satisfy this inequality would be all the numbers that are less than -1. Therefore, the solutions to the inequality would be the numbers that are to the left of -1 on the number line.
-2
-3
-10
The numbers 0, 1, and -1 do not satisfy the inequality because they are not less than -1.
Look at attachment for question
Answer:
Answer choice C
Step-by-step explanation:
Since a rectangle has two dimensions and both side lengths of rectangle B are 4 times smaller, the area is 4*4=16 times smaller. 2592/16=162 square units, or answer choice C. Hope this helps!