Answer:
Let's solve your system by elimination.
2a + 3c =66 ; 3a + 5c = 105
Multiply the first equation by 5,and multiply the second equation by -3.
5 (2a + 3c = 66)
−3 (3a + 5c = 105)
Becomes:
10a + 15c = 330
−9a − 15c = −315
Add these equations to eliminate c:
a = 15
Now that we've found a let's plug it back in to solve for c.
Write down an original equation:
2a + 3c = 66
Substitute 15 for a in 2a + 3c = 66:
(2)(15) + 3c = 66
3c + 30 = 66 (Simplify both sides of the equation)
3c + 30 −30 = 66 −30 (Add -30 to both sides)
3c = 36
3c3= 363 (Divide both sides by 3)
c = 12
Answer:
a = 15 and c = 12
6. Simplify: -7(3x) + 2(3x – 2). What is the value of the expression if x = 4
Answer:
its x
Step-by-step explanation:sus?
Silvia is planning to use a 4-year loan to purchase a car.
• The price of the car is $8,575.
• The amount of interest she will have to pay on the loan is $1,036
Silvia will combine the price of the car and the amount of interest to determine how much she must repay. She will make 48 equal monthly
payments.
Which of the following is the best estimate of each monthly payment Silvia will make?
A. $175
B. $200
C. $225
D. $250
Answer:
B
Step-by-step explanation:
8575 + 1036 = 9611
9611 is the full payment
9611 / 48 months = 200.229
About $200 every month
The best estimate of each monthly payment that Silvia will make is given by: Option B: $200
What to calculate net payable amount after interest is applied?The net payable amount is the sum of main amount to be paid + the amount of interest.
For this case, it is specified that:
The price of the car is $8,575.The amount of interest she will have to pay on the loan is $1,036Thus, we get:
Total payable amount by Silvia for car purchasing = $8575 + $1036 = $9,611
This payable amount is divided in 48 equal parts. The value of each part (the monthly payment amount by Silvia) is:
[tex]\dfrac{9611}{48} \approx 200 \: \rm dollars[/tex]
Thus, the best estimate of each monthly payment that Silvia will make is given by: Option B: $200
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A bag contains 8 red balls and 4 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red
Answer:
total marbles;12
after drawing red total counts are 7 red and 4 white 11 in total
probabilities are 4/11
The numbers and letters on a license plate are determined by the state that issues the license
plate. Suppose a state had a system that used 5 letters and 2 digits for a total of 7 characters on
a license plate. How many different license plates can this system produce?
297, 034, 400
594, 068, 800
1, 188, 137, 600
O 2, 376, 275, 200
Juan has x quarters and y dimes, having a minimum of 16 coins worth at most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.
Answer:
See belowStep-by-step explanation:
Quarter - 25¢, dime - 10¢, total - $3 = 300¢
Inequalities:
x + y ≥ 1625x + 10y ≤ 300x ≥ 4See attached for graphical solution. There are many solutions.
Possible one solution:
5 quarters and 17 dimeshelppppppp pleaseeee again im sorry but i dont know any of itttttt.
Step-by-step explanation:
sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =
sqrt(5x × 8x²) - 2×sqrt(5x × x) =
sqrt(40x) × x - 2x × sqrt(5) =
2x×sqrt(10x) - 2x×sqrt(5)
therefore, the last option is correct.
The box-and-whisker plot below represents the ages of 12 people.
What percent of these people are age 15 or older?
5
+ + + + + +
10 15 20 25 30 35 40 45 50 55
25
B 35
© 75
0 85
The box and whiskers plot visually presents the ages of the 12
The percentage of the 12 people older than 15 is 75%Reasons:
The five number summary from the box and whiskers plot is presented as follows;
Minimum value = 7.5
Maximum value = 50
Lower quartile, Q₁ = 15
Upper quartile, Q₃ = 40
Median, Q₂ = 32.5
The first quartile is equivalent to the 25th percentile
Therefore, given that the age 15 is equivalent to the first quartile = 25th percentile, the percentage of the 12 people that are older than 15 are;
Percent older than 15 = 100% - 25% = 75%
The correct option is 75%
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14. Find three consecutive odd integers such that the product of the first and the third is 13 less
than ten times the second integer.
Answer:
1 ale 2 no se 3 saca de tu mente 4
Solve
-x + 4 = x + 6
Answer:
-1
Step-by-step explanation:
1. subtract 4 from both sides
-x = x+2
2. subtract x from both sides
-2x = 2
3. divide both sides by 2
simplify
x= -1
Hope this helps :)
(?)(3x — 2)= 24x^2 — 16x
[tex]\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix} (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x[/tex]
find the velue of y? y²=169
Answer:
-13 or 13
Step-by-step explanation:
Since we are looking for the square root of 169, we realize that 13 multiplied by itself equals 169. Negative 13 does the same, so it is the answer.
The graph of y=⅔ x - 12 intersects the y-axis at Q (0, -12) and is perpendicular to a line joining Q to the point P ( x , 0). Find x
Can someone help? anyone?
Answer:
The right answer is letter C.
Step-by-step explanation:
I hope it's help
have a nice day and night
Write a function in any form that would match the graph shown below
9514 1404 393
Answer:
f(x) = 2(x +2)^2(x -5)
Step-by-step explanation:
The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...
f(x) = a(x +2)^2·(x -5)
The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...
f(x) = 2(x +2)^2(x -5)
What is 2x-3 when x=6
Answer:
0
Step-by-step explanation:
What is 3 x 320 x 5 x 10245?
Answer:
49176000
I hope this helps.
Interest and fees
the total cost of a credit purchase.
A. maintain
O B. decrease
C. do not affect
D. increase
Answer:
D. increase
Step-by-step explanation
Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.
Answer:
B
Step-by-step explanation:
Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!
WILL GIVE BRAINLIEST
(4x - 5) m
(7x - 17)m
(2x + 3) m
The perimeter of this triangle is
m.
Answer:
The perimeter of triangle is 33 meters.
Step-by-step explanation:
Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:
7x - 17 = 4x - 5
7x - 4x = 17 - 5
3x = 12
x = 12 ÷ 3
x = 4
OR:
4x - 5 = 2x + 3
4x - 2x = 3 + 5
2x = 8
x = 8 ÷ 2
x = 4
Substitute x = 4 into all expressions:
7x - 17 = 7(4) - 17 = 11 meters
4x - 5 = 4(4) - 5 = 11 meters
2x + 3 = 2(4) + 3 = 11 meters
In order to find out the perimeters, you have to add up all the sides:
P = 11 + 11 + 11
P = 33 meters
Answer:
p = 33 m
Step-by-step explanation:
Since this is an equalateral triangle all the sides are equal
-----------------------------
set any two sides equal
7x - 17 = 2x + 3
subtract 2x from both sides
5x - 17 = 3
add 17 to both sides
5x = 20
Divide both sides by 5
x = 4
------------------------------
Find the length of any side
s = 2x + 3
s = 2(4) + 3
s = 11
-----------------------
the perimiter is the three times any side
p = 3s
p = 3 * 11
p = 33 m
Hi guys im stuck on this maths question
(2/5)^-3
Answer:
15.625
Step-by-step explanation:
Answer:
[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]
POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.
=============================================================
Explanation:
Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.
From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.
For example, if we plugged in t = 10, then,
A(t) = -1.4t+96
A(10) = -1.4(10)+96
A(10) = -14 + 96
A(10) = 82
Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.
The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.
Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.
If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.
Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.
For the graph attached statements A, C and E are true.
Function that fits the given data in the graph,
A(t) = -1.4t + 96Here, t = temperature in Fahrenheit
A(t) = Oil used in gallons
By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.
Option A
By substituting t = 10°F,
A(10) = -1.4(10) + 96
= 82 gallons
Therefore, statement is true.
Option B
For t = 15°F,
A(15) = -2.4(15) + 96
= 60 gallons
Statement is False.
Option C
For t = 68.5°F
A(5) = -1.4(68.5) + 96
= 0.1 gallons
≈ 0 gallons
Statement is True.
Option D
For t = 55°F,
A(55) = -1.4(55) + 96
= 19 gallons
Statement is False.
Option E
For t = 0°F
A(0) = -1.4(0) + 96
= 96 gallons
Statement is true.
Therefore, statements given in options A, C and E are True.
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If the amount of fruit increases by 40%, what percent of the original amount do you have?
Answer:
First, subtract to find the amount of change: 225 - 25 = 200. The increase is 25. Next, divide the amount of change by the original amount:.
Step-by-step explanation:
WILL MARK AS BRAINLIEST IF CORRECT
Answer:
A) 1/12
Step-by-step explanation:
for every 1 that x increase f(x) increases 12
Answer:
1
Step-by-step explanation:
How many equal parts are there in this image
Answer:
6
It's kind of blury, so I can't really see it.
Answer:
4
Step-by-step explanation:
Through how many radians does the minute hand of a clock turn in three hours?
3 pi
9 pi
6 pi
If you are conducting an experiment where the probability of a success is 0.06 and you are interested in the probability of two successes in 15 trials, the correct probability function to use is the _____.
In the question, the probability of getting the given number of success
from a specified number of trials is required.
The correct probability function to use is the binomial probability function.
Reasons:
The given parameters are;
The probability of success = 0.06
The number of trials = 15 trials
The probability of interest = The probability of two successes in 15 trials
Solution;
The required probability is given by the following binomial probability
distribution formula;
[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]
Where:
n = Number of trials
x = Number of required success
p = Probability of a success
q = Probability of one failure = 1 - p
For the question, we get;
[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]
Therefore, the correct option is, a binomial probability function
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The question options are;
Binomial probability function
Normal probability density function
Standard normal probability density function
Poisson probability function
One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers
The two numbers are 1 and 1.
Let the non-negative number be x and its reciprocal be y = 1/x
The sum of the two numbers is f(x,y) = x + y
= x + 1/x
= f(x)
For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.
So, df(x)/dx = d(x + 1/x)/dx
= dx/dx + d(1/x)/dx
= 1 - 1/x²
Equating it to zero, we have
1 - 1/x² = 0
1 = 1/x²
x² = 1
Taking square-root of both sides, we have
x = ±√1
x = ±1
Since x is non-negative x = + 1
We differentiate f(x) again to determine if this value gives a minimum for f(x).
So, d²f(x)/dx² = d(1 - 1/x²)/dx
= d1/dx - d(1/x²)/dx
= 0 - × (-2/x³)
= 2/x³
Substituting x = 1 into the equation,
d²f(x)/dx² = 2/x³
= 2/1³
= 2 > 0.
So x = 1 is a minimum point for f(x)
Since x = 1 and y = 1/x, y = 1/1 = 1
So, the two numbers are 1 and 1.
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What is the decimal multiplier to decrease by
15%?
Answer:
0.85
Step-by-step explanation:
Answer:
first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity
Ashley received a $24 discount on a radio she bought for $98.00. What is the percent of discount she saved?
Answer:
24.49
Step-by-step explanation:
Answer:
24.489%, but most of the time they only go to 2 decimal places so 24.49%
Step-by-step explanation:
answer this question fast
Answer:
0.09
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME FIND THE AREA OF THIS SHAPE AND SHOW WORK 20 POINTS!!!
Answer:
10 units
Step-by-step explanation:
Area of smaller ∆ ,
= 1/2 * 2 * 2 = 2 u
Area of larger ∆ ,
= 1/2 * 4 * 4 = 8u
Total area = 8u + 2u = 10 units