Step-by-step explanation:
x²/(x²-9) + 1/(x-3) = 1/(4x-12)
4x² + 4(x+3) = 1
4x² + 4x + 11 = 0
Since the discriminant is negative, there are no real solutions.
A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.
Answer:
67 dollars and 20 cents
Step-by-step explanation:
2.10 per thumb cover
32x2.10=67.2
Answer:
if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50
Step-by-step explanation:
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28+12x
Step-by-step explanation:
The perimeter of a square is 4s where s is the side lenght. In your case s is 7+3x so the perimeter will be (28+12x).
A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width of the bed the area of the concrete pad must be 80 ft.² write the quadratic equation that will be used to find the dimensions of the pad
Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
Given the following data;
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
[tex] l = 11 + w[/tex]
We know that, the area of rectangle, A = length * width
[tex] A = l*w[/tex]
Substituting the values into the equation, we have;
[tex] 80 = (11 + w)w[/tex]
Expanding the bracket, we have;
[tex] 80 = 11w + w^{2}[/tex]
[tex] w^{2} + 11w - 80 = 0[/tex]
*Solving the quadratic equation by using factorization method*
[tex] w^{2} + 16w - 5w - 80 = 0[/tex]
[tex] w(w + 16) - 5(w + 16) = 0[/tex]
[tex] (w - 5)(w + 16) = 0 [/tex]
Width, w = 5 feet or w = -16 feet.
Therefore, the width of the concrete pad is 5 feet or -16 feet.
To find its length, l;
[tex] l = 11 + w[/tex]
When w = 5 feet
[tex] l = 11 + 5[/tex]
Length, l = 16 feet
When w = - 16 feet
[tex] l = 11 + (-16)[/tex]
[tex] l = 11 - 16[/tex]
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
solve In 2010, the percentage of assisted living residents who had both heart disease and depression was 9%, the percentage with only heart disease was 25%, and the percentage with either condition was 48%. What percentage of assisted living residents had only depression
Answer:
The percentage of assisted living residents had only depression
P(D) =0.32
Step-by-step explanation:
Explanation:-
Given the percentage of assisted living residents who had both heart disease and depression was 9%
Let The event 'H' be the event of heart disease and 'D' be the event of depression
P(H ∩D) = 9% =0.09
The percentage with only heart disease was 25%
P(H) = 0.25
The percentage with either condition was 48%.
P(H∪D) = 48%=0.48
By addition theorem on probability
[tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]
[tex]0.48 = 0.25 + P(D) -0.09[/tex]
P(D) = 0.48 -0.16
P(D) = 0.32
The percentage of assisted living residents had only depression
P(D) =0.32
Reba got home from school at 2:55 P.M. and played video games for 1 hour and 20 minutes. Then, it took her 1 hour and 35 minutes to finish her homework. What time was it when Reba finished her homework?
Include A.M. or P.M. in your answer Please help me fast!!!
I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”
Answer:
∠F = 80
Step-by-step explanation:
Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:
40 + 60 + ∠F = 180
100 +∠D = 180
subtract 100 from both sides
∠F = 80
What is the zscore with a confidence level of 95% when finding the margin of error for the mean of a normally
dstrbutad populaticn from a sarple?
O.99
1.65
1.96
2.58
Answer:
Z score with a confidence level of 95% is 1.96
Step-by-step explanation:
The computation of the z score with the confidence level of 95% is shown below:
While determining the margin of error for the normally distributed population from the sample, the z score of the confidence level of 95% is 1.96
The same is to be considered
Therefore the third option is correct
The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution? Round your answer to the nearest hundredths.
Answer:2.99 on edge
Step-by-step explanation: i got the question wrong just for the answer hope this helps
Answer:
2.99 on edge
Step-by-step explanation:
85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.
The answer for this question would be K=-2J+28. I hoped I helped!
Answer:
K=-2J+28
Step-by-step explanation:
i took the k 12 test
A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?
Answer:
The customer send and receive 15 GB of data during the month.
Step-by-step explanation:
Given;
Monthly charge for 6 GB of data = $67.95
Additional charge for each additional GB of data over 6 GB = $8.95
Bill received by the customer = $148.50
Therefore, we have:
Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55
Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB
Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB
Therefore, the customer send and receive 15 GB of data during the month.
Joshua observed the changes in a cake when it was baked in an oven. What best explains that he observed a chemical change? (5 points)
a
He saw the rising batter form the cake in the oven.
b
He saw the cake expand outside the rim of the baking dish.
c
He noticed the flour and other ingredients lose their unique properties.
d
He noticed the steam from the moisture rise in the oven.
Answer:
a
Step-by-step explanation:
What are the coordinates of point S?
A. -3/4, 1/2
B. -1/2, -3/4
C. 1/2, -3/4
D. 3/4, 1/2
Answer:
i think it's C.
Step-by-step explanation:
i really hope I'm right :/
help look at image pls
Answer:
ok coool
Step-by-step explanation:
i have nothing
Barry has 7 coins, all of which are quarters and nickels. In all, they're worth $1.35. How many of each kind of coin does Barry have?
Answer:
5 quarters
2 nickels
Step-by-step explanation:
Answer:
5 quarters and 2 nickels.
Step-by-step explanation:
One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.
Hope this helped!
Which quadratic function is shown in the graph?
A) f(x) = x2
Answer: a I think
Step-by-step explanation:
Write a function rule that best models the data in the table. (0,3), (1,4),(2,7,(3,12)
8
7
6+
5
4 3
N
1
-8 -7 -6 -5 4ß -2
-1
1
2 3 4 5 6 7 8
-2
-3
-5
-6
-7
-8+
The system of equations has
O one solution
no solution
infinitely many solutions
Answer:
no bro
Step-by-step explanation:
no
If 21% = 96 students how many students is 1%.
Or you can help with the whole question
Answer:
1% are 5 students
Step-by-step explanation:
21% is 96 then
1% is X
X = 1*96 / 21
X = 5
A florist is making a fower bouquet for a client. The client wants the bouquet to have a ratio of 3 carnations to 5 peonies. Which of
these bouquets meets the clients needs?
A. a bouquet of 9 carnations and 20 peonies
B.
a bouquet of 9 carnations and 15 peonies
С.
a bouquet of 6 carnations and 15 peonies
D.
a bouquet of 6 carnations and 20 peonies
Considering the 9th slab of tax structure of Pakistan for 2020-2021, Where the taxable salary income exceeds Rs. 12,000,000 but does not exceed Rs. 30,000,000 the rate of income tax is 2,345,000 + 27.5% of the amount exceeding Rs. 12,000,000. If we create a mathematical Model of the tax structure, the function for this particular slab will be:
0.275x
0.275x-12000000
0.275x-955000
0.275x-2345000
9514 1404 393
Answer:
(c) 0.275x-955000
Step-by-step explanation:
The amount exceeding 12,000,000 can be described by ...
x - 12,000,000
Then 27.5% of that is ...
0.275(x -12,000,000) = 0.275x -3,300,000
Adding 2,345,000 to that gives the expression ...
2,345,000 +(0.275x -3,300,000) = 0.275x -955,000
Troy wrote the equation in the box to find a solution to a problem.
6x = 42
Which problem could Troy be solving?
Troy set the microwave to defrost for 42 minutes. He later increased the time by another 6 minutes. What is the total time the microwave defrosted?
Troy bought movie tickets for 42 people. What is the total cost of the tickets if each ticket is $6?
Troy worked 6 days this week. If his timesheet totals 42 hours in those $6 days, how many hours did Troy average each day?
Troy sprinted 42 yards on Monday. On Friday, he sprinted $6 times as far. How far did Troy sprint on Friday?
I need help ASAP this is a grade!!
I need the answers for #7 and #8
Answer:
7. x=9, y=7 The first number is 9, and the second number will be 7.
8. h= $2.25 c= $1.19 The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
Step-by-step explanation:
7. First lets define the variables: x=first number; y=the second number
Now we set up a system of equations:
Eq. 1. 2x+y=25 Eq. 2. 3x-y=20
Now we solve (I'm going to use subsitution you can use wtv you are comfortable with)
1. 2x+y=25 1. y=25-2x
Subsitute.
2. 3x-y=20 2. 3x- (25-2x)=20
Simplify.
3x-25+2x=20 5x-25=20 5x=45 x=9
Now solve for y by subsituting x into one of the equations.
1. 2x+y=25 2(9)+y=25 18+y=25 y= 7
The first number is 9, and the second number will be 7.
8. Define the variables.
h= cost of a hotdog; c=cost of a bag of chips
System of Equations:
Eq. 1. 5h+3c=14.82 Eq. 2. 7h+6c=22.89
Now solve.
1. 5h+3c=14.82 2. 7h+6c=22.89
Using subsitution...
h=2.25 c=1.19
The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=nothing
Answer:
The boiling point of the liquid it 210.25°F
Step-by-step explanation:
Linear Modeling
Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)
Applying the formula:
[tex]\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)[/tex]
Calculating:
[tex]\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)[/tex]
[tex]\displaystyle B-199.42=-0.0019(A-8200)[/tex]
[tex]\displaystyle B-199.42=-0.0019A+15.58[/tex]
[tex]\displaystyle B=-0.0019A+15.58+199.42[/tex]
The equation is:
[tex]\displaystyle B=-0.0019A+215[/tex]
Finally, we calculate the boiling point at A=2500 ft:
\displaystyle B=-0.0019*2500+215
B = 210.25°F
The boiling point of the liquid it 210.25°F
7. What is the smallest angle in the triangle below?
Answer:
Angle a is the smallest
1. Given that ADEF
AABC, determine the length of side DF.
A
15
Answer:
DEF/3 = BAC
AC(7) x 3 = 21
Please help me and show work thank you
Answer:
-21
Step-by-step explanation:
We can use the opposite operation and subtract 4.3 from -16.9 to find out what w is. From that, we will get -21.
(I'm really sorry, I'm bad at explaining things but I hope this helped)
Let f(x) = 2x - 5 and g(x) = 3x. Perform the indicated
operation.
g(x)/f(x)
SOMEONE HELP PLZ
Answer:
f{3x}=6x-5
Step-by-step explanation:
There isn't really much to do: if you perform the division between function you get a new function:
[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]
What is an equation of the line that passes through the points (4,-2) and (8,3)?
Answer:
[tex]y-4=\frac{5}{4} (x+2)[/tex]
Step-by-step explanation:
First you can find the slope of the line that would pass through those two points using the formula:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{3-(-2)}{8-4}[/tex]
m=5/4
Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.
So,
[tex]y-4=\frac{5}{4} (x+2)[/tex]
(don't leave out the parentheses!)
Juan rides his bike 97 miles to and from school each month.
Part A
How can you use compensation to find the number of miles he rode in 6 months?
A.
97 is close to 100, so multiply 6 × 100 and then add 6 × 3.
B.
97 is close to 100, so add 6 + 100 and then multiply by 6 + 3.
C.
97 is close to 100, so add 6 + 100 and then add 6 × 3.
D.
97 is close to 100, so multiply 6 × 100 and then subtract 6 × 3.
Answer:
cvfgrtyukjmn
Step-by-step explanation:
At an electronics store, the price of a tablet is marked down 15% to $212.50
What was the price of the tablet before the markdown?
Enter your answer in the box.
Please ai need answers fast!!!!
Answer:
$250
Step-by-step explanation:
$212.50 is 85% of the original price.
Therefore use the equation below to find out original price.
(original price) * 0.85 = 212.50
original price = 212.50 / 0.85 = 250
Answer:
250
Step-by-step explanation:
hope this helps