Answer:
Unit Rate is a that makes a comparison to one unit.
Step-by-step explanation:
unit rate is that makes to comparison to one unit
a crew of highway workers paved 2/15 mile in 20 min
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 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:
Find x. Round your answer to the nearest tenth of a degree.
18
12
х
Repost your question. Unclear as typed.
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
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.
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 unit²find 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
(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!]
Are 12:14 and 60:70 equivalent ratios?
yes
no
Answer:
Yes, they are equalent
Step-by-step explanation:
12:14 = 6:7
60:70 =6:7
both can be simplified to 6:7
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.
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:
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
Number 12 thank you ASAP
Answer:
0
Step-by-step explanation:
A slope of a straight, horizontal line is 0 as it is not going up or down.
Answer:
B) 0
Step-by-step explanation:
When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.
y= ___ is slope of 0
x= ___ is slope of undefined
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:
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
If the original quantity is 5 and the new quantity is 4, what is the percent decrease?
Answer:
try using percent decrease calculator
Step-by-step explanation:
maybe that'll help
Answer:
The answer is 20%
Step-by-step explanation:
5=100%
meaning if you decrease it by one each time it will look like this:
5=100%
4=80%
3=60%
2=40%
1=20%
so if it was decreased to four your answer is 20%
and you still have 80% remaining.
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 :|
Which answer is it??
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 large shipment of light bulbs has just arrived at a store. It has been revealed that 17 % of the light bulbs are defective (the other light bulbs are good). Suppose that you choose 6 light bulbs at random. What is the probability that 2 or less of the bulbs are defective.?
Answer:
The required probability = 0.9345
Step-by-step explanation:
Given that:
p = 0.17
n = 6
The required probability that two or less light bulbs are defective = (P<2)
(P<2) = P(X=0) +P(X=1) +P(X=2)
[tex](P<2) =\bigg [ ({^6C_0}\times 0.17^0 \times (1-0.17)^{6-0})+ ({^6C_1}\times 0.17^1 \times (1-0.17)^{6-1}) +( {^6C_2}\times 0.17^2 \times (1-0.17)^{6-2}) \bigg ][/tex]
[tex](P<2) =\bigg [ \dfrac{6!}{0!(6-0)!}\times 0.17^0 \times (1-0.17)^{6})+ (\dfrac{6!}{1!(6-1)!} \times 0.17^1 \times (1-0.17)^{5}) +( \dfrac{6!}{2!(6-2)! }\times 0.17^2 \times (1-0.17)^{4}) \bigg ][/tex]
[tex]\mathbf{(P<2) = 0.9345}[/tex]
a triangle with lengths 12 in, 14 in, and 16 in, what type of triangle is that?
Answer:
scalene triangle
Picture:
(in attachment)
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:
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!
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
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
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.
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
need to solve for Y by filling in the blanks
(y +44)°, 86, (3y)°
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