Answer:
We have a line L.
Remember that in two dimensions, we can write a line as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
And then using one of these points, we can find the value of b.
Then wen we got the equation for the line:
y = a*x + b
We can input a point (x, y)
And see if the equality is true, then the point belongs to the line L.
The graph shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled. PART A What is the unit rate for each machine? PART B Which machine can fill cartons at a faster rate? How much faster?
Answer:
A. 25, 22
B. machine 1
How much faster? MACHINE 1 fills 3 more cartons per minute than MACHINE 2
Step-by-step explanation:
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill. The equation y = 22x describes the rate at which Machine 2 can fill cartons where x is the number of minutes and y is the number of cartons filled.
The equation of the graph that shows the relationship between the time in minutes and the number of milk cartons that Machine 1 can fill is -
y = [(100 - 50)/(4 - 2)]x
y = 25x
AND
y = 22x describes the rate at which Machine 2 can fill cartons.
So, we can write -
Machine 1's unit rate = 25
Machine 2's unit rate = 22
It is easily visible that Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
Therefore,
Machine 1's unit rate = 25 and Machine 2's unit rate = 22. Machine 1 fills cartons faster and fills 3 more cartons per minute than machine 2.
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[Refer to image for complete question]
Explain! Prize! Thank you!!!!
Answer:
B.
Step-by-step explanation:
The answer is B since it cost $3 for 5, it would be $6 or double for 10.
Answer:
B. $6
Step-by-step explanation:
3 divided by 5 = 0.6
0.6 multiplied by 10 = $6
(I might be wrong. Sorry if I am. Don't get mad at me)
Hope I helped :)
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What fraction is the same as 9/12
Answer:
3/4
Step-by-step explanation:
If you divide both the numerator and the denominator by 3 you'll get 3 over 4.
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
Answer:
a. The equation is y = 19 x
b. The height of 13 DVD cases is 247 mm
Step-by-step explanation:
- A proportional relationship is about two quantities vary directly with
each other
- Ex: If y proportion to x, then y is varies directly with x
That means y ∝ x ⇒ y = k x, where k is the constant of variation
- The height of a stack of DVD case is proportional to the number of
case in the stack
- That means the height of DVD cases varies with the number of cases
- The height of 6 DVD case is 114 mm
a.
∵ The number of cases = x
∵ The height of the cases = y
∴ y ∝ x
∴ y = k x
- To find k lets use the first information above
∵ y = 114 mm when x = 6
- Substitute these values in the equation above to find k
∵ 114 = 6 k
- Divide both sides by 6
∴ k = 19
- Substitute the value of k in the equation above
∴ y = 19 x
* The equation is y = 19 x
b.
- We need to find the height of 13 DVD cases
∵ y = 19 x
∵ x = 13
- Substitute the value of x in the equation
∴ y = 19 × 13
∴ y = 247 mm
* The height of 13 DVD cases is 247 mm
The height will be 143 mm for a stack of 13 DVD cases.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The overall height of the 8 cases stacked on top of each other is 88 mm.
Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):
⇒ 88/ 8 = 13
⇒ 88 ÷ 8 = 13
Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:
11 × 13= 143
Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.
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The question seems to be incomplete the correct question would be:
The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
The height of the 8 cases stacked on top of each other is 88 mm.
Answerr this. Will also give branliest. helpp
Answer:
Angles 1 and 9 are corresponding angles
2 and 3 same side interior angles
8 and 12 are OTHER
6 and 12 are alternate interior
1 and 2 are linear pairs
15 and 11 are alternate interior
8 and 9 are same side interior
2 and 4 are corresponding
Step-by-step explanation:
Use the graph!
Brainliest??Hope it helped!
∠1 and ∠9 = Corresponding angles
∠2 and ∠3 = Same side interior angles
∠8 and ∠12 = Other
∠6 and ∠12 = Alternate interior angles
∠1 and ∠2 = Lineae pair
∠15 and ∠11 = Alternate interior angles
∠8 and ∠9 = Same side interior angles
∠2 and ∠4 = Corresponding angles
How to ask someone out ?
Answer:
There are so many ways! Do want me to help?
Step-by-step explanation:
If ∠3 and ∠4 are complementary angles, m∠3 = (x+24)°, and m∠4 = x°, then find the measures of ∠3 and ∠4.
Answer:
[tex]\huge\boxed{3 = 57 \textdegree}[/tex]
[tex]\huge\boxed{4 = 33 \textdegree}[/tex]
Step-by-step explanation:
When two angles are complementary, their angle lengths add up to 90°.
Therefore, we can make the equation
[tex](x+24) + (x) = 90[/tex]
Now we can solve for x.
[tex]2x+24=90[/tex] [tex]2x=66[/tex] [tex]x = 33[/tex]Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.
We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.
[tex]33+24\\\\57[/tex]
Hope this helped!
What is the final cost of a "$29" meal with a %20 tip?
Last one!!
Answer:
34.8 dollars
Step-by-step explanation:
multiply 29 by 1.2 to get the final answer
for every 5 hours that he works, andre is paid $60.20.
how much is he made in hour 1?
how much did he make in hour 2?
how much did he make in hour 3?
how much did he made in hour 4?
how much did he make in hour 5?
Answer:
here it is
Step-by-step explanation:
Simply divide 5 INTO 60.20 to get $ per hour.
Another way of saying this is divide $60.20 BY 5.
Both questions in picture! Will give brainliest!!
Answer:
See belolw
Step-by-step explanation:
[tex]P=53\text{ft}[/tex]
[tex]P = a+b+c[/tex]
[tex]53=2x-15+x+1+3x-29[/tex]
[tex]53=6x-43[/tex]
[tex]96=6x[/tex]
[tex]x=16[/tex]
[tex]a=2x-15[/tex]
[tex]a=2(16)-15[/tex]
[tex]\boxed{a=17}[/tex]
[tex]b=x+1[/tex]
[tex]b=16+1[/tex]
[tex]\boxed{b=17}[/tex]
[tex]c=3x-29[/tex]
[tex]c=3(16)-29[/tex]
[tex]\boxed{c=19}[/tex]
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]
On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N([],[])
b. Find the probability that an indoor cat dies when it is between 17.2 and 19.6 years old.[]
c. The middle 20% of indoor cats' age of death lies between what two numbers?
Low: [] years
High: [] years
Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable X is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:
[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]
(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:
[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]
[tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]
Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:
[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]
The corresponding value of z is, 0.25.
Compute the value of x₁ and x₂ as follows:
[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex] [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]
Low: 15.4 years
High: 16.6 years
0.00054 - (3.2 x 10-4)
in scientific notation and standard notation
Answer:
in scientific notation it is − 32x+4.00054
Step-by-step explanation:
thats all i know
6. A spinner is divided into 8 equals sections and the sections are labeled 1 through 8. What is the probability of a success and a failure for this experiment? P (success) = one-fourth; P (failure) = Seven-eighths P (success) = one-fourth; P (failure) = Three-fourths P (success) = three-fourths; P (failure) = one-fourth P (success) = seven-eighths; P (failure) = One-eighth
Answer:
P (Success) = 1/8
P (Failure) = 7/8
Step-by-step explanation:
It is provided that a spinner is divided into 8 equals sections and the sections are labeled 1 through 8.
Only one section is considered as success and the remaining seven are failures.
So, the probability of a success is,
P (Success) = 1/8
And the probability of a failure is,
P (Failure) = 7/8
Answer:
a
Step-by-step explanation:
HELP ASAPPPP
(8x - 14)*
(2x + 4)*
Answer:
X is 17
Step-by-step explanation:
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?
Answer:
85%
Step-by-step explanation:
The probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
What is the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. The total number of marbles in the bowl is,
[tex]n=5+2+10+3\\n=20[/tex]
The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,
[tex]P=\dfrac{3}{20}[/tex]
The probability that Fiona pulls out a marble that is not white is,
[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]
Thus, the probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
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(6x + 7) + (8x-27) how do you solve
Answer:
x=+17
Step-by-step explanation:
6x+7=8x-27
We move all terms to the left:
6x+7-(8x-27)=0
We get rid of parentheses
6x-8x+27+7=0
We add all the numbers together, and all the variables
-2x+34=0
We move all terms containing x to the left, all other terms to the right
-2x=-34
x=-34/-2
x=+17
Given the function f (x) = 8x2 - 14x – 10, find f -2).
Remember from now on ;
If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.
Got it ?
Now Let's do it .....
[tex]f( x) = 8 {x}^{2} - 14x - 10 [/tex]
[tex]f( - 2) = 8({ - 2})^{2} - 14( - 2) - 10 \\ [/tex]
[tex]f( - 2) = 8 \times 4 + 28 - 10[/tex]
[tex]f( - 2) = 32 + 28 - 10[/tex]
[tex]f( - 2) = 60 - 10[/tex]
[tex]f( - 2) = 50[/tex]
_________________________________
And we're done...
♥️♥️♥️♥️♥️
the improper fraction 9/8 equals what mixed number
At a video arcade, action video games usually cost $12.50. This week, they are on sale for 30% off. What is the sale price of the action video games?
Answer:
3.75
Step-by-step explanation:
Answer:
$8.75
Step-by-step explanation:
37.28 for 2 pair of jeans how much did they cost
Answer:
One pair of jeans costed 18.64
Step-by-step explanation:
37.28 divided by 2.
Find the slope of 12,-7 and 2,-2
Answers: -0.5 m
here you go
7x -7 = 6x +11
I forgot how do answer this can you help me ??
A school has a total enrollment of 800 students. Twenty percent of those students play a sport. How many play a sport?
Answer:
160
Step-by-step explanation:
... ...... ..
....i
Answer It should be 40%
solve the system of equations
Answer:
y = -3 when x = 4
Step-by-step explanation:
2x-4y = 20
x = 4
2(4) - 4y = 20
8 - 4y = 20
-4y = 12
y = -3
1. If f(x) = 6x2 and h(x) = 3x, then (f/h)(x)
A2
B2x
C2x2
Evaluate -8a - b if a = 10 and b = 6
-86 is the value of -8a-b when a = 10 and b = 6.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -8a-b
a and b are the variables in the given expression.
Minus is the operator of subtraction in the expression.
The value of a is given as 10 and b is 6.
Now we have to substitute the values of a and b in expression.
-8(10)-6
Eight times of ten is eighty
-80-6
Minus eighty minus six is minus eighty six.
-86
Hence, -86 is the value of -8a-b when a = 10 and b = 6.
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Brent caught 9 tilapia and 8 catfish. What is equivalent to the ratio of catfish to tilapia?
Answer:
8:9
Step-by-step explanation: the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
I hope this helps plz tell me if its wrong so i can fix it :)
HELP ME PLS IT"S DUE TODAY. JUST GIVE ME THE ACTUAL ANSWER IF YOU KNOW IT PLUS ILL GIVE YOU 5 STARS!!!!
Answer:
the answer is we dont know cuz theres no question
ok then it should be the bag wit 8lb
Answer:
Obviously, it's the 8lb bag of dog food because it's the cheapest, but it may vary with the type of animal (a dog in this case).
Mrs. Lovejoy makes flower arrangements. She has 36 red carnations, 60 white carnations, and 72 pink carnations. Each arrangement must have the same number of each color. What is the greatest number of arrangements she can make if she uses every carnation? Using the information from the question above, how many of each color carnation will Mrs. Lovejoy have in each arrangement? **Enter in your answer as a list using commas in the following order "# of red, # of white, # of pink"
Answer:
36
Step-by-step explanation:
35. You run an accounting business that specializes in auditing (verifying accounting records).
One of your auditors is working on the payroll records for a company with 75 employees. Some are
part-time and some are full-time. After working for three days, your auditor tells you that the audit
is completed for half of the full-time employees, but there are still 50 employee records to audit.
Find out how many of the employees are full time and how many are part-time.
Answer:
There are 50 full-time and 25 part-time employees in the company.
Step-by-step explanation:
Total number of employee in the company = 75
Employee's records to be audited = 50
Number of audited record = 75 - 50
= 25
Records of employees to be audited = 50
Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2
= 50
The number of part-time employee's in the company = 75 - 50
= 25
There are 50 full-time and 25 part-time employees in the company.
