Answer:
-46
Step-by-step explanation:
What is a proportional relationship?
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality
Step-by-step explanation:
What is the correct way to break 12 into parts and multiply each part by 6?
Answer:
By the use of algebra.
Step-by-step explanation:
You wish to break the quantity '12' into parts (number of parts not specified) and multiply each part by 6.
If you didn't want to break 12 into parts, the straight method would be to simply multiply 12 by 6. 12 × 6 = 72
Breaking 12 into 12 parts, you have
X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂
In this case, X₁ represents the first unit of the number 12. X₂ represents the second unit of the number 12. X₁₂ represents the last unit of the number 12.
Hence, X₁ + X₂ + X₃ + X₄ + X₅ + X₆ + X₇ + X₈ + X₉ + X₁₀ + X₁₁ + X₁₂ = 12
Each X value is the number 1; just that it's in 12 places and each case has a separate identity.
Each X value can then be multiplied by 6 and the sum of all would be 72.
Write the decimal form for the number name below. Six hundred six thousandths
Answer:
600.006 would be the answer
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.
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
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 )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Harry wants a fence around his garden.
Height: 16.7m
Length: 16.3m
What is the perimeter of the whole garden?
Answer:
66m
Step-by-step explanation:
perimeter is the distance all round a figure
perimeter(p)= 2( length(l) + width(w)) or perimeter= 2 length + 2 width
p= 2(l + w) or p = 2l + 2w
p= 2(16.3 +16.7) or p= 2(16.3) + 2(16.7)
p=2(33) or p= 32.6 + 33.4
p=66m or p= 66m
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
Jane has 6/7 of a yard of ribbon. She uses 3/4 of a yard to trim an ornament. how much ribbon is left?
Answer:
2/28
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:
: )
(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!]
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
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]
need to solve for Y by filling in the blanks
(y +44)°, 86, (3y)°
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
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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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:
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
find area of triangle formed by (1,1) (2,3) (4 ,5) using heron's formula
Answer:
The area of a triangle is:
A = 1 unit²Step-by-step explanation:
Given the points of a triangle
A(1, 1)
B(2, 3)
C(4, 5)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Distance between AB:
[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]
[tex]=\sqrt{1+4}[/tex]
[tex]=\sqrt{5}[/tex]
so
[tex]a=\sqrt{5}[/tex]Distance between BC:
[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]
[tex]=\sqrt{2^2+2^2}[/tex]
[tex]=\sqrt{2^3}[/tex]
[tex]=2\sqrt{2}[/tex]
so
[tex]b=2\sqrt{2}[/tex]Distance between AC:
[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]
[tex]=\sqrt{3^2+4^2}[/tex]
[tex]=\sqrt{5^2}[/tex]
[tex]=5[/tex]
so
[tex]c=5[/tex]Semiperimeter = sum of sides ÷ 2
[tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]
Area of the triangle:
[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]
[tex]a=\sqrt{5}[/tex][tex]b=2\sqrt{2}[/tex][tex]c=5[/tex][tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]
[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]
[tex]A=1[/tex]
Therefore, the area of a triangle is:
A = 1 unit²7. 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 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
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:
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)
Which answer is it??
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.
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:
May u please help me ill give out the brainly
Answer:
sorry type it out
Step-by-step explanation:
a crew of highway workers paved 2/15 mile in 20 min
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
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]