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:
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:
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:
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
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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3 people share a sum of money in a ration of 3:5:7 If one recieves 10 more than the other, what is the amount shared
Answer:
We have the ration:
3:5:7
This means that, if they receive $15, then:
Person A will get $3
Person B will get $5
Person C will get $10
Let's then define the amount of money shared as:
Amount = K*$15
where we want to find the number K.
In this scenario, each they will get:
Person A : $3*K
Person B: $5*K
Person C: $7*K
Now, we know that one of them gets "10 more than the other"
(The problem here is that we do not know exactly who receives more than who, i will suppose that person B receives $10 more than person A)
then we can have:
$5*K = $10 + $3*K
solving this for K, we have:
$5*K - $3*K = $10
$2*K = $10
K = $10/$2 = 5
Then the amount shared, in this situation, is:
Amount = K*$15 = 5*$15 = $75.
(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!]
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]
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
Find x. Round your answer to the nearest tenth of a degree.
18
12
х
Repost your question. Unclear as typed.
What is the measure of the largest angle in the
accompanying triangle?
(2X+1)
/(x+15)
х
1) 41
2) 46.5
3) 56
4) 83
Answer:
Number 4. 83
Answer:
83
Step-by-step explanation:
(2x+ 1 ) +(x+15)+x=180
4x+16=180
4x=164
x=41
Largest angle -2x+1
2(41)+1=83
1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI
Answer:
The correct answer is B
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.
find the missing side lengths. leave ur answers as radicals
Answer:
m = 34 ; n = 17√3
Step-by-step explanation:
m = 17 × 2 = 34
n² = 34² - 17² = 867 = 17² × 3 ⇒ n = 17√3
When 4(k + 2) = 32 − 2k is solved, the result is:
Answer:
K=4
Step-by-step explanation:
4(K+2)=32-2k
4k+8=32-2k
+2k +2k
6k+8=32
-8 -8
6k=24
divide 6 from both sides
k=6
Answer:
k=4
Step-by-step explanation:
4(k+2)=32-2k
You would use distributive property with the 4 and the numbers in the parenthesis.
4k+8=32-2k
Next, you add 2k to both sides
6k+8=32
Then, you subtract 8 from each side
6k=24
Lastly, you divide by 6 on both sides
k=4
The mean of birth weights for individual babies in the population is 3,500 grams. What is the mean birth weight for the sampling distribution for samples of 100 babies?
Answer:
The mean birth weight for the sampling distribution is
3,500 grams.
Step-by-step explanation:
The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population. If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean. This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.
can u help me plz now
Answer:
1 1/5 miles per hour
Step-by-step explanation:
3/5 = 0.60
1/2= 0.5 hr
0.60 * 2 = 1.2
1.2 mph = 1 1/5
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
what is 0 divided by 0 =
Answer: undefined
Step-by-step explanation: No value can be assigned to 0 to the power 0 without running into contradictions. Thus 0 to the power 0 is undefined :|
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.
Solve x2 − 10x = −13.
A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the numbers from the equation into the formula.
[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]
Simplify:
[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]
[tex]\frac{10+/-\sqrt{48} }{2}[/tex]
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].
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
What is |-14|?
A. -14
B. -7
C.7
D. 14
E. 1/14
Answer:
D) 14
Step-by-step explanation:
Absolute value |x| is defined as the distance x from 0.
Basically, whatever is in the absolute value sign cannot be negative
a crew of highway workers paved 2/15 mile in 20 min
Which answer is it??
Question
A spherical weather balloon is filled with helium. If the diameter of the balloon is 10
feet, how many cubic feet of helium does it hold?
294.4 ft3
523.3 ft3
4186.7 ft3
104.7 ft3
Answer:
523.3ft³
Step-by-step explanation:
Given
Diameter, D = 10ft
Required
Determine the volume of helium it can hold.
To solve this, we simply calculate the volume of a sphere, which is:
V = 4/3πr³
Where
r = ½D
r = ½ * 10ft
r = 5ft
Substitute 5 for r in the stated formula and take π as 3.14
V = 4/3 * 3.14 * 5³
V = 4/3 * 3.14 * 125
V = ⅓(4 * 3.14 * 125)
V = ⅓ * 1570
V = 523.3 ft³
Hence, the sphere can contain 523.3ft³ of helium
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
bro no balls youll give me 1$ on Paypal ill give you a whole 100 points :}
Answer:
How about you be nice and give it to us hardworkers for free?
Step-by-step explanation:
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 unit²need to solve for Y by filling in the blanks
(y +44)°, 86, (3y)°