Answer:
The solution is (0,4).
Step-by-step explanation:
We are given the following system of equations:
[tex]8x + 9y = 36[/tex]
[tex]3x + 4y = 16[/tex]
Solving by substitution.
In the first equation, we have that:
[tex]8x + 9y = 36[/tex]
[tex]8x = 36 - 9y[/tex]
[tex]x = \frac{36-9y}{8}[/tex]
Replacing in the second equation:
[tex]3x + 4y = 16[/tex]
[tex]3\frac{36-9y}{8} + 4y = 16[/tex]
Multiplying everything by 7
[tex]3(36 - 9y) + 32y = 128[/tex]
[tex]108 - 27y + 32y = 128[/tex]
[tex]5y = 20[/tex]
[tex]y = \frac{20}{5}[/tex]
[tex]y = 4[/tex]
Now, with y, we can find x.
[tex]x = \frac{36-9*4}{8} = 0[/tex]
So the solution is (0,4).
18. The side length of a square is 7a 3b feet. What is the area of the square in feet? Box your final answer!
Answer:
ouhnewu0h8coehuqnce0nuqfenueqnuqwe0nu8iquenw
Step-by-step explanation:
uieqnueru0njfqenu0fqenuen0rue0fuinfuine0
A new process of more accurately detecting anaerobic respiration in cells is being tested. The new process is important due to its high accuracy, its lack of extensive experimentation, and the fact that it could be used to identify five different categories of organisms: obligate anaerobes, facultative anaerobes, aerotolerant, microaerophilic, and n anaerobes instead of using a single test for each category. The process claims that it can identify obligate anaerobes with 97.8% accuracy, facultative anaerobes with 98.1% accuracy, aerotolerant with 95.9% accuracy, microaerophiles with 96.5% accuracy, and n anaerobes with 99.2% accuracy. If any category is not present, the process does not signal. Samples are prepared for the calibration of the process and 31% of them contain obligate anaerobes, 27% contain facultative anaerobes, 21% contain microaerophiles, 12% contain nanaerobes, and 9% contain aerotolerant. A test sample is selected randomly.
Required:
a. What is the probability that the process will signal?
b. If the test signals, what is the probability thatmicroaerophiles are present?
Answer:
a) 0.97605 = 97.605% probability that the process will signal.
b) 0.2076 = 20.76% probability that microaerophiles are present.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability that the process will signal?
It signals in these following moments:
97.8% of 31%(contains obligate anaerobes).
98.1% of 27%(contains facultative anaerobes).
96.5% of 21%(contains microaerophiles).
99.2% of 12%(contains nanaerobes).
95.9% of 9%(contains aerotolerant). So
[tex]p = 0.978*0.31 + 0.981*0.27 + 0.965*0.21 + 0.992*0.12 + 0.959*0.09 = 0.97605[/tex]
0.97605 = 97.605% probability that the process will signal.
b. If the test signals, what is the probability thatmicroaerophiles are present?
Event A: Test signals
Event B: Contains microaerophiles
0.97605 = 97.605% probability that the process will signal.
This means that [tex]P(A) = 0.97605[/tex]
Intersection of events A and B:
Signals containing microaerophiles, which is 96.5% of 21%. So
[tex]P(A \cap B) = 0.965*0.21 = 0.20265[/tex]
The probability that microaerophiles are present is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.20265}{0.97605} = 0.2076[/tex]
0.2076 = 20.76% probability that microaerophiles are present.
18h 19min 26s
+ 25h 45min 48s
Answer:
2 days 5 minuts 14 seconds
Step-by-step explanation:
1 1 1 1 1
18 19 26
+25 45 48
1 24 05 14
PLS HELP ASAP Which equation models this situation?
28 more than a number is 33.
A. X+ 33 = 28
B. X- 28 = 33
C. X = 28 + 33
D. X + 28 = 33
Answer:
d
Step-by-step explanation:
Answer:
more than a number = addition
so it is D because the end result has to be 33.
Step-by-step explanation:
Hope this helped!
Some isosceles triangles are not equilateral.
O A. True
O B. False
To reason about the value of x in 1/4(12x - 8) =10, Joy and Paulo each rewrite the equation. Joy rewrites the equation as 3x - 2 = 10. Paulo rewrites the equation as
12x - 8 = 40. What are their strategies? Explain your reasoning.
Answer:
For Joy:
Strategy: Multiply through by 4
For Paulo:
Strategy: Evaluate the bracket
Explanation:
Given
[tex]\frac{1}{4}(12x - 8)=10[/tex]
Required:
Determine the strategies
For Joy:
Strategy: Multiply through by 4
[tex]4 * \frac{1}{4}(12x - 8)=10 * 4[/tex]
[tex]12x - 8 = 40[/tex]
Done
For Paulo:
Strategy: Evaluate the bracket
[tex]\frac{1}{4}*12x - \frac{1}{4}*8=10[/tex]
[tex]3x - 2 = 10[/tex]
Done
You can make 8 pints of purple paint by mixing 6 parts of blue paint to 2 parts of red paint. The employees in the paint department of a home improvement store use this table to determine the amounts of blue and red paint needed to create this color for their customers.
How much red paint is needed to create 40 pints of purple paint for their customers?
Answer & Step-by-step explanation:
Since we use 5 parts blue and 3 parts red, the total sections is 8.
28/8 = 3.5
We want to find the red which is 3 parts.
3.5 * 3 = 10.5.
Your answer should be 10.5 pints of red.
Hope this helps!
surface area of a sphere with radius 19
Answer:
A≈4536.46
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Answer:
Radius 19
A ≈ 4536.46 .....ans
Which points are separated by a distance of 5 units? O A. (1,3) (6,3) ☆ O B. (3,5) (1,5) O C. (5,1) (1,1) O D. (2,3) (3,3)
Answer:
A
Step-by-step explanation:
A. (1,3) and (6,3) have the same y-coordinate, so the distance between them is the difference of the x-coordinates.
distance = 6-1 = 5
:::::
B. (3,5) and (1,5). Again, the same y-coordinate. Distance = 3-1 = 2 ≠ 5
:::::
C. distance = 5-1 = 4 ≠ 5
:::::
D. distance = 3-2 = 1 ≠ 5
A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
3
A)
10
13
B)
50
14
C)
25
11
D)
25
Answer:
11/25
Step-by-step explanation:
15 red, 13 blue, and 50 total. Therefore, yellow = 50-15-13=22.
Probability (yellow) = 22/50 = 11/25
Answer:
[tex]\frac{11}{25}[/tex] chance
In percent form;
44%
Step-by-step explanation:
1. Approach
First, one must find the amount of yellow marbles in the bag. This can be done by subtracting the amount of red and blue marbles from the total marbles in the bag. Then one will set up a proportion and solve to find out the probability of choosing a yellow marble. Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex]
2. Find the amount of yellow marbles
Subtract the number of red and blue marbles from the total marbles in the bag;
[tex]total_{.}marbles-(red+blue)\\\\=50-(15+13)\\\\=50-28\\\\=22[/tex]
There are [tex]22[/tex] yellow marbles.
3. Find the probability of selecting a yellow marble
Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex] and a percent is out of 100. Using this knowledge one can set up a proportion in the format;
[tex]\frac{desired_{.}outcomes}{total_{.}outcomes} = \frac{percent}{100}[/tex]
Substitute;
[tex]\frac{22}{50}=\frac{percent}{100}[/tex]
Simplify,
[tex]\frac{11}{25}=\frac{percent}{100}[/tex]
Cross products,
[tex]\frac{11}{25}=\frac{percent}{100}\\\\1100=25*(percent)\\[/tex]
Inverse operations;
[tex]1100=25*(percent)\\/25\\\\44=percent[/tex]
Lorrie bought 3 1/2 yards of ribbon. She had 2 feet 6 inches of ribbon left after trimming a banner. How many inches of ribbon did Lorrie use for the banner?
Answer:
7 ft 11 inches
Step-by-step explanation:
Convert 3 1/2 yards into 10 ft 5 inches.
Subtract 2 ft 6 inches from 10 ft 5 inches.
Lorrie used 88 inches of ribbon for the banner.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Lorrie bought 3 1/2 yards of ribbon. She had 2 feet 6 inches of ribbon left after trimming a banner.
We have to determine the number of inches of ribbon did Lorrie use for the banner.
Here the quantity of ribbon bought by Lorrie = 3 1/2 yard = 3.5 yard
The quantity of ribbon she has left.
⇒ 2 ft 6 inches
⇒ 2×12 + 6
∵ 1 feet = 12 inches
⇒ 30 inches
Since we know that 1 yard = 36 inch
So 3.5 yard = 36×3.5 inches = 126 inches
The quantity of ribbon which is trimmed :
⇒ 126 - 30 = 88 inches
Therefore, Lorrie used 88 inches of ribbon for the banner.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
select the equation of the line that passes through the point (3,-1) and is parallel to the line on the graph
What name is given to the price dealerships pay for vehicles?
Answer:
invoice price? retailers? dealers cost?
Step-by-step explanation:
i dont know if this is worded correctly for me to understand i-
I’m so bad at math Can someone help
Answer:
B and C
Step-by-step explanation:
It fits the inequality
Step-by-step explanation:
step 1. no one is categorically bad at math; they just haven't practiced.
step 2. this reads: x is less than 30 and x is greater than 15.
step 3. x cannot be 15 but can be 22 and 29.
Tasha is packing gift bags that include
the same items. She has 72 glow sticks,
36 markers, and 24 bottles of bubbles.
Tasha believes that she can pack no
more than 6 bags using all of her
supplies. Do you agree with Tasha? Explain.
Answer:
No, I do not.
She can pack up to 12 bags
Step-by-step explanation:
Given
[tex]Glow\ sticks = 72[/tex]
[tex]Markers = 36[/tex]
[tex]Bubbles = 24[/tex]
Required
Is Tasha correct?
The maximum number of bags she can pack is determined by the greatest common factors (GCF) of the items.
i.e. GCF of 72, 36 and 24.
This is calculated as:
[tex]24 = 2*2*2*3[/tex]
[tex]36 = 2 * 2 *3*3[/tex]
[tex]72 = 2 * 2 * 2 *3*3[/tex]
Multiply all common factors:
[tex]GCF = 2 * 2 * 3[/tex]
[tex]GCF = 12[/tex]
The GCF is 12.
This implies that she can pack up to 12 bags
Write an integer for deposit of $100
Write an integer for deposit of $100:
-$100
Write an expression equivalent to 9(8x + 5) + 7
Answer:
72x+52
Step-by-step explanation:
72x+45+7=72x+52
Find the value of x and the value of y
Answer:
A. x = 16, y = 9√2
Step-by-step explanation:
✔️Let's find y first using trigonometric ratio:
Reference angle = 45°
Hypotenuse = y
Opposite = 9
Therefore,
Sin(45) = 9/y
y = 9/sin(45)
y = 9/(1/√2)
y = 9 × √2/1
y = 9√2
✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.
Adjacent side using Pythagorean Theorem would be,
Adj² = y² - 9²
Adj² = (9√2)² - 9²
Adj² = 162 - 81
Adj² = 81
Adj = √81
Adj = 9
x = adj + 7 = 9 + 7
x = 16
Which value should be added to this data set to produce a mean of 13?
should be added to the data set to produce a mean of 13.
,Answer:
18
Step-by-step explanation:
edg 2021, i got this question correct, please mark me brainliest, I hope this helps, sorry for the late reply
10x (4 +2) = 10 x6 =60
1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
Answer:
Step-by-step explanation:
Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
The length of a rectangle is two times its width. Find the area if its perimeter is 7 1/3
Let x be the width
width = x
Length is twice its width
length = 2x
Perimeter = length + width + length + width
Perimeter = x + 2x + x + 2x = 6x
Given that perimeter = 7 1/3
6x = 7 1/3
x = 7 1/3 ÷ 6 = 1 2/9
So width = 1 2/9
Length = 1 2/9 x 2 = 2 4/9
Area = length x width
Area = 1 2/9 x 2 4/9
Area = 2 80/81 square cm
Fill in the table using this function rule.
y=-2x +4
Answer
i think this is what you mean
Step-by-step explanation:
x y
2 0
1 2
0 4
-1 6
-2 8
Evaluate 11.5s + 10.7t when s = 7 and t = 8 .
Answer:
166.1
Step-by-step explanation:
It would become 11.5 * 7 + 10.7 * 8 = 80.5 + 85.6 = 166.1
Shivani has two pieces of wire, one 48 feet long and the other 21 feet long. If she wants to cut them up to produce many pieces of wire that are all of the same length, with no wire left over, what is the greatest length, in feet, that she can make them?
Answer:
3 feet
Step-by-step explanation:
48 = 2⁴×3
21 = 3×7
Greatest common factor of 48 and 21 is 3.
Each piece will be 3 feet long.
The graph below represents a recent 10 meter race between two remote control cars.
A graph titled Remote Control Car Race has seconds after race start on the x-axis and distance from start line (meters) on the y-axis. A line labeled red car goes through (3, 2) and (6, 4). A line labeled blue car goes through (3, 0) and (5, 2).
Which statements about the race are true? Check all that apply.
The red car won the race because it started above the blue car.
The cars crashed at 9 seconds into the race because that is the point of intersection, and neither car continued on after that point in time.
The blue car passed the red car at 6 m into the race because that is the point of intersection, and the blue car has a greater distance than the red car after that time.
The blue car is faster because the slope of its line is steeper than the slope of the line representiong the red car.
The blue car started 3 seconds late because it has an x-intercept of (3, 0) and x represents the time and y represents the distance from the starting line.
Answer:
options c d e
Step-by-step explanation:
Answer:
C D E
Step-by-step explanation:
Find (x + 3)(4x - 1). *
O4x2 - 11x-3
O 4x^2 + 11x - 3
O 4x^2 + 13x - 3
4x^2 + 12x - 3
Answer:
Step-by-step explanation:
(x+3)(4x-1) = 4x² + 12x - x - 3 = 4x² + 11x - 3
Six copies of the sum of nine fifths and three
Answer: What is the complete question? Can you comment it?
Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.
[BRAINLIEST TO BEST ANSWER] Can anybody solve this before an hour? Solve is for solving it, and check is for checking the answer to see if it's correct.
Answer:
3x = 18
x=6
check: 3(6)=18. 18=18
x/3 = -4
X=-12
Check: 12/3=4. 4=4
11x=121
x=11
Check: 11(11)=121. 121=121
-8y=32
x=-4
Check: -8(-4)=32. 32=32
y/4=12
y=48
Check: 48/4=12. 12=12
6y=-48
y=-8
Check: 6(-8)=-48. -48=-48
y/7=-7
y=-1
Check: (-1)/7=-7. -7=-7
x/5=5
x=1
Check: (1)/5=5. 5=5
1) solve
3x=18
x=6
check
3(6)=18
2) solve
x/3=-4
x=-12
check
-12/3=-4
3) solve
11x=121
x=11
check
11(11)=121
4) solve
-8y=32
y=-4
check
-8(-4)=32
5) solve
y/4=12
y=48
check
48/4=12
6) solve
6y=-48
y=-8
check
6(-8)=-48
7) solve
y/7=-7
y=-49
check
-49/7=-7
8) solve
x/5=5
x=25
check
25/5=5
A rocket is fired into the air modeling the equation h = -16t2 + 512t + 50, where "t" is the time in seconds and "h" is the
3
height in feet