Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
PLZ HELP!!! WILL GIVE U BRAINLIEST!!!
Answer:
Graph B is correct
(3,-1)
Step-by-step explanation:
Convert to slope-intercept form and find them on graph.
Answer:
Graph B and (3,-1)
Step-by-step explanation:
Step: Solve x−2y=5 for x:
x−2y=5
x−2y+2y=5+2y (Add 2y to both sides)
x=2y+5
Step: Substitute 2y+5 for x in 3x+15y=−6:
3x+15y=−6
3(2y+5)+15y=−6
21y+15=−6 (Simplify both sides of the equation)
21y+15+−15=−6+−15 (Add -15 to both sides)
21y=−21
(Divide both sides by 21)
y=−1
Step: Substitute−1for y in x=2y+5:
x=2y+5
x=(2)(−1)+5
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−1 or (3,-1)
Unit 4: Linear Equations
Homework 6: Writing Linear equations (given two points)
Please tell me someone has the answers for every problem on here! I'm desperate, and I will probably fail this algebra class if I don't have this HW done. Please respond quick!
Express each sum in sigma-notation
1 + 1/4 + 1/9 + 1/16 + ... + 1/400
9514 1404 393
Answer:
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
Step-by-step explanation:
We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
A sheet of metal 12 inches by 10 inches is to be used to make a open box. Squares of equal sides x are cut out of each corner then the sides are folded to make the box. Find the value of x that makes the volume maximum.
*Round to 2 decimal places and write out "inches"
Answer:
1.81 inches
Step-by-step explanation:
We are told that the sheet of metal to be used measures 12 inches by 10 inches.
Squares of equal sides x are cut out of each corner. Thus, it means total of 2x is cut of the 12 inches side and 10 inches side.
Thus;
Length; L = 12 - 2x
Width; W = 10 - 2x
Height; H = x
Volume of the box is;
V = LWH
V = (12 - 2x)(10 - 2x)x
Factorizing out, we have;
V = 4x[(6 - x)(5 - x)]
Equating V to zero, we can find the domain of the function;
At V = 0,
4x = 0; 6 - x = 0 ; 5 - x = 0
x = 0, x = 6, x = 5
The dimensions have to be positive. Thus;
0 ≤ x ≤ 5
Expanding the volume equation;
V = 4x[30 - 5x - 6x + x²]
V = 4x[30 - 11x + x²]
V = 4x³ - 44x² + 120x
dV/dx = 12x² - 88x + 120
Equating to zero to find the value of x that makes volume maximum;
12x² - 88x + 120 = 0
Using quadratic formula gives;
x = 1.81 or 5.52
From our domain, we have 0 ≤ x ≤ 5.
1.81 falls within the domain and therefore we will pick it as the height that makes the volume maximum.
Answer:1.81
Step-by-step explanation:
x=1.81
A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?
Answer: -81
Step-by-step explanation:
Let x = the car moving towards west = 30
Let y = truck moving towards north = 40
dx/dt = -55
dy/dt = -60
We the use Pythagoras theorem to solve further where,
s² = x² + y²
s² = 30² + 40²
s² = 900 + 1600
s² = 2500
s =✓2500
s = 50
We then differentiate with respect to t, then we will have:
s² = x² + y²
2s ds/dt = 2x ds/dt + 2y dy/dt
50 ds/dt = (30 × -55) + (40 × -60)
50 ds/dt = -1650 - 2400
50 ds/dt = - 4050
ds/dt = -4050/50
ds/dt = -81
2) Here are boxplots of the points scored during the first 10 games of the basketball season for both Ca and Alexandra. Summarize the similarities and differences in their performance so far.
Answer:
Following are the similarities and differences to this question:
Step-by-step explanation:
In the given question, both girls have such a mean performance of about 17 points per game throughout this issue, however, Sciurine is much more consistent. Your IQR becomes approximately 2 levels and Alexandra is greater than 10.
PLEASE HELP
The equation of a line in the point-slope form is show below.
5 - 9 = {* - 2)
What is the slope of this line?
OC 5
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y - 9 = \frac{1}{5} (x - 2) \\ [/tex]
[tex]y - 9 = \frac{1}{5} x - \frac{2}{5} \\ [/tex]
Add sides 9
[tex]y -9 + 9 = \frac{1}{5} x - 0.4 + 9 \\ [/tex]
[tex]y = \frac{1}{5} x + 8.6 \\ [/tex]
[tex]y = \frac{1}{5} x + \frac{43}{5} \\ [/tex]
This is the slope-intercept form.
Remember from now on ,The coefficient of x is the slope of the line in slope-intercept form of the linear functions.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ,
Slope = 1 / 5
And the correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?
Answer:
25%
Step-by-step explanation:
Looking at the attached diagram, we can see that the box plot is divided into 3 sections,
Q1 = First Quartile (1/4 the players) = 25%
Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%
Q3 = Third Quartile (3/4 of the players) = 75%
From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below
The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%
= 25%
The percentage of players weighing greater than or equal to 242 pounds is 25 %.
Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.
It means that 75% of the players weigh 242 pounds and below
Hence, The percentage of players weighing greater than or equal to 242 pounds is,
[tex]100-75=25[/tex]
Learn more about the Quartile here:
https://brainly.com/question/10005803
pleaseee I need help
Answer:
whith whut
Step-by-step explanation:
(GIVING BRAINLIEST AND EXTRA POINTS TO WHO HELPS ME!!)
Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?
A) ten and forty two ninetieths pounds
B) ten and sixteen twenty firsts pounds
C) eleven and forty two ninetieths pounds
D) eleven and sixteen twenty firsts pounds
Answer:
11 7/15 (Not listed on paper!)
Step-by-step explanation:
6 12 /15 + 4 4 /6 =
(6 + 4) + ( 12 /15 + 4/ 6 )
= 10 + 12 × 2
15 × 2
+
4 × 5
6 × 5
= 10 +
24 /30
+
20 /30
= 10 +
24 + 20 /30
= 10 +
44 /30
= 10 +
44 ÷ 2
30 ÷ 2
= 10 +
22 /15
= 10 +
1 7 /15
=
11 7 /15
(Eleven and seven fifteenths)
[Sorry but all of the answers you gave are all wrong!]
What is the exact angle between the clock hands at 6:45:00 PM? Plz show work
Answer:
90°
Step-by-step explanation:
angle on a straight line=180 and half of 180=90°
Answer:
67.5°
Step-by-step explanation:
You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)
Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.
[tex]\frac{45}{60}[/tex]×5 = 3.75
Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.
[tex]\frac{11.25}{15}[/tex] ×90° = 67.5°
You can refer to the picture for better visualisation of the clock. Hope this helps.
Solve for x.
3(x + 2) + 4(x - 5) = 10
Step-by-step explanation:
3x+6+4x-20=10
7x-14=10
7x=24
x=24/7
Answer:
x=3.43
Step-by-step explanation:
3(x-2)+4(x-5)=10
3x+6+4x-20=10
7x-14=10
7x=24
x=24/7
24/7=3.428571428571429(round to nearest hundredths)
x=3.43
Please answer this correctly without making mistakes
Answer:
$7.20
Step-by-step explanation:
Chocolate chip pancake mix is $2/lb, and you need 3 pounds. 2 x 3 = 6, so it the mix will cost $6.
Buttermilk pancake mix is $3/lb. You need 1/10 of a pound, so divide 3 by 10. When you divide a number by 10, move the decimal one place to the left. That means there is an extra 0 in front of the 3, so the price is $0.30.
Plain pancake mix is $1/lb. You need 9/10 of a pound. 9/10 of 1 is 0.9, so it will cost $0.90.
Add the prices together, and you have $7.20.
Evaluate: (-10 + 15)/-3
Need answer asap
Answer:
5/3
Step-by-step explanation:
Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.
Hope this helps... Stay safe and have a great day!!! :D
7. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
Let A = membership fee for studio AB = membership fee for studio Bx= membership month[tex]A = 22 + 24.5x[/tex][tex]B = 47.00 + 18.25x[/tex]
We want to when the total cost at each health studio is the same.
In other words, when A = B.
Therefore, the expression becomes
[tex]A = B[/tex]
[tex]22\:+\:24.5x=47.00\:+\:18.25x[/tex]
Step 1: Simplify both sides of the equation.
[tex]24.5x+22=18.25x+47[/tex]
Step 2: Subtract 18.25x from both sides.
[tex]24.5x+22-18.25x=18.25x+47-18.25x[/tex]
[tex]6.25x+22=47[/tex]
Step 3: Subtract 22 from both sides.
[tex]6.25x+22-22=47-22[/tex]
[tex]6.25x=25[/tex]
Step 4: Divide both sides by 6.25
[tex]\frac{6.25x}{6.25}=\frac{25}{6.25}[/tex]
[tex]x=4[/tex]
Therefore, the total cost for each health club will be the same after 4 months.
a crew of highway workers paved 2/15 mile in 20 min
need to solve for Y by filling in the blanks
(y +44)°, 86, (3y)°
What is the 50th term in the sequence if the first term is 0
and the common difference is -7?
Answer:
-343
Step-by-step explanation:
tn=a+(n-1)d
0(50-1)*-7
-343
A student walks from her house to her school. The graph shows her distance, in miles, from the school over the time in minutes, of her walk. What does the x-intercept represent in context?
ANSWER:
distance when starting her walk/ when time is 0
Step-by-step explanation:
y axis will be distance and x intercept is the point where y is 0
so represents when distance is 0.
Answer:
the time it takes to walk from her house to school
Step-by-step explanation:
6. The profit in dollars from the sale of x bicycles is given by
P(x) = -0.5x2 +200x - 14000 where 0 sxs 300
a) Find the change in profit when production is changed from 122 to 150 bicycles.
Answer:
$1792Step-by-step explanation:
Step one:
given that the profit function is
[tex]P(x) = -0.5x^2 +200x - 14000[/tex]
let us find the profit when sale x=122
[tex]P(x) = -0.5(122)^2 +200(122) - 14000\\\\P(x)=-7442+24400-14000\\\\P(x)=2958[/tex]
Step two:
let us find the profit when sale x=150
[tex]P(x) = -0.5(150)^2 +200(150) - 14000\\\\P(x)=-11250+30000-14000\\\\P(x)=4750[/tex]
Hence the change is 4750-2958= $1792
Find the maximum value and the minimum value of the function and the values of x and y for which they occur.
P 19x-5y60, subject to 5x + 9ys 45, 0 s ys4, and 0sx < 6 and y
The maximum value occurs where x =_______ and y occurs where x_________
The minimum value (Do not round until the final answer. Then round to two decimal places as needed.)
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!
Step-by-step explanation:
What is the domain of f(x)=5x-7
Answer:
(-infinity, infinity)
Step-by-step explanation:
You’re welcome, sorry I couldn't out the symbols. I don't have them on my keyboard :).
Answer:
R (all real numbers)
R (all real numbers)
Step-by-step explanation:
May u please help me ill give out the brainly
Answer:
sorry type it out
Step-by-step explanation:
11
Linda had a ribbon that measured foot long. She cut the ribbon into as
12
1
many -foot-long pieces as possible. What is the length of the leftover ribbon?
8
Answer:1/24
Step-by-step explanation:
Answer:
1/24
Step-by-step explanation:
: )
Which answer is it??
A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube
Answer:
[tex]Volume = 5028.6cm^3[/tex]
Step-by-step explanation:
Given
[tex]Height = 10cm[/tex]
[tex]Diameter = 8cm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Where [tex]r = radius[/tex]
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 8cm[/tex]
[tex]r = 4cm[/tex]
[tex]h = 100cm[/tex]
Take
[tex]\pi = \frac{22}{7}[/tex], so we have
[tex]Volume = \pi r^2h[/tex]
[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]
[tex]Volume = \frac{22}{7} * 16 * 100[/tex]
[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]
[tex]Volume = \frac{35200}{7}[/tex]
[tex]Volume = 5028.6cm^3[/tex]
Write the decimal form for the number name below. Six hundred six thousandths
Answer:
600.006 would be the answer
4. A county clerk has a given amount of money to budget for cultural events. Cultural Events
based on the scattplot, what does the point(0,18)represent?
A.the total amount of the budget givin to the country
B.
the total amount of the budget spent after 18months
C.the average amount spend out of the budget each month
D.the predicted amount of time after which the entire budget will be spent
Step-by-step explanation:
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9) Solve: a^2+ b^2= c^2 for b
Answer:
b = ±√(c² - a²)Step-by-step explanation:
Given equation
a²+ b²= c²Solving for b:
b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)Answer:
b = ±√(c² - a²)
Step-by-step explanation:
We have to get the value of B.
Step 1: (b squared = c squared - a squared)
b² = c² - a²
Step 2: (cube root of b squared = cube root of c squared and a squared)
√b² = √(c² - a²)
We get the answer as:
b = ±√(c² - a²)
There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?
Answer:
Small=36
Large=13
Step-by-step explanation:
As given there are 49 dogs signed up
36 are small so the equation is
36+x=49
x=49-36
x=13
So 13 large dogs and 36 small dogs