How do I solve: (-3/8x) + (1/6) = (-7/12)
Answers
Solution
Step 1
Write the equation
\(\frac{-3}{8}x\text{ + }\frac{1}{6}\text{ = }\frac{-7}{12}\)Step 2
\(\begin{gathered} Subtract\text{ }\frac{1}{6}\text{ from both sides} \\ \\ \frac{-3}{8}x+\frac{1}{6}-\frac{1}{6}=\frac{-7}{12}-\frac{1}{6} \\ \\ \frac{-3}{8}x\text{ = }\frac{-9}{12} \end{gathered}\)Step 3
Multiply each term by the Lcm of 8 and 12 = 24
\(\begin{gathered} \frac{-3}{8}x\text{ }\times\text{ 24 = }\frac{-9}{12}\times24 \\ \\ -9x\text{ = -18} \\ \\ x\text{ = }\frac{-18}{-9} \\ \\ x\text{ = 2} \end{gathered}\)Final answer
x = 2
Related Questions
As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the standard deviation of the data?
1.41
1.53
2.33
5
Answers
Answer:
B: 1.53
Step-by-step explanation:
The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)
If 3 apple cost $4 , how much would one apple cost? Round to the nearest cent
Answers
Answer:
$1.33
Step-by-step explanation:
If 3 apple cost $4. Then the cost of one apple will be $1.33 per apple.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
If 3 apple cost $4.
Then the cost of the one apple will be given by the quotient of 4 and 3.
Then the price of one apple will be
⇒ $4/3
⇒$1.33 per apple
Thus, the cost of one apple will be $1.33 per apple.
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For the function f, f(0)=86, and for each increase in x by 1, the value of f(x) decreases by 80%. what is the value of f(3)?
Answers
The value of f(3) is 0.688.
To find the value of f(3), we need to determine the pattern of decrease and apply it to the given information.
Given that f(0) = 86, we know the starting value of the function. We are also told that for each increase in x by 1, the value of f(x) decreases by 80%. This means that for every unit increase in x, the value of f(x) becomes 80% of its previous value.
Let's calculate the values step by step:
f(0) = 86 (given)
f(1) = 86 - 0.8 * 86 = 17.2
f(2) = 17.2 - 0.8 * 17.2 = 3.44
Now, let's find f(3) by applying the same decrease:
f(3) = 3.44 - 0.8 * 3.44 = 0.688
In summary, starting with f(0) = 86, we applied an 80% decrease for each unit increase in x to calculate the values of f(1) = 17.2, f(2) = 3.44, and f(3) = 0.688. The pattern suggests that the function approaches zero rapidly as x increases.
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Please answer correctly and no links
Answers
Complete the ordered pair for both equation. Will give brainiest
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So if you know that order pairs go like (x,y) that means that the 12 in (12,y) is the x so if we plug into the equation we can get y...
\(y=\frac{2}{3} (12)+ 5\\y=8+5\\y=13\)
So the order pair is (12, 13).
Now for the next one it's the same concept but this time we'll plug in for y because the -2 is in the (x, y) so we have to find the x...
\(5x-9(-2)=3\\5x+18=3\\5x=-15\\x=-3\)
So the order pair is (-3, -2).
Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answers
Answer:
Hi there!
Your answer is:
$89
Step-by-step explanation:
35+18x(.75)
Plug in 4 for x.
35+ 18(4) × (.75)
35+ 54
89$
Hope this helps
What is 30% of 70?
O 10
O 14
O 18
O 21
O 28
Answers
Answer:
your answer is 21
Step-by-step explanation:
ffffffffffffff
\(\huge\text{Hey there!}\)
\(\mathsf{30\% \ of\ 70}\\\\\mathsf{=30\% \times 70}\\\\\mathsf{= \dfrac{30}{100}\times 70}\\\\\mathsf{= \dfrac{30}{100}\times \dfrac{70}{1}}\\\\\mathsf{= \dfrac{30\div10}{100\div 10}\times\dfrac{70}{1}}\\\\\mathsf{= \dfrac{3}{10}\times\dfrac{70}{1}}\\\\\mathsf{=\dfrac{3\times70}{10\times1}}\\\\\mathsf{= \dfrac{210}{10}}\\\\\mathsf{= \dfrac{210\div 10}{10\div10}}\\\\\mathsf{= \dfrac{21}{1}}\\\\\mathsf{= 21\div 1}\\\\\mathsf{= 21}\)
\(\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \ 21}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
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Can anyone help me with trig identities?
Answers
Answer:
cosA = √(21/25)
Step-by-step explanation:
We know
sin²(A) + cos²(A) = 1
Next, we know that sin(A) = 2/5. Plugging that into our equation, we get
(2/5)² + cos²A = 1
4/25 + cos²A = 1
subtract 4/25 from both sides to isolate cos²A
cos²A = 1 - 4/25 = 25/25-4/25 = 21/25
square root both sides to get
cosA = √(21/25)
We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.
What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?
15
52
4
5
Answers
Answer:
Multiply both sides by \(\frac{5}{2}\)
Step-by-step explanation:
Given
\(\frac{2}{5}x = 10\)
Required
Get an equivalent of \(x = 25\)
To do this, we simply multiply through by \(\frac{5}{2}\)
\(\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}\)
\(\frac{5*2}{2*5} x = 10 * \frac{5}{2}\)
\(\frac{10}{10} x = 10 * \frac{5}{2}\)
\(\frac{1}{1} x = 10 * \frac{5}{2}\)
\(x = 10 * \frac{5}{2}\)
\(x =\frac{10*5}{2}\)
\(x =\frac{50}{2}\)
\(x = 25\)
#14
Graph the quadrilateral with the given vertices in the coordinate plane.
A(0, 1), B(4, 4), C(12, 4), D(8, 1)
Answers
Answer:
Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.
Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.
Step-by-step explanation:
So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.
List the values of this inequality
Answers
Answer:
Anything 5 and above.
Step-by-step explanation:
The sign that is shown is the less than or equal to sign, which means whatever is added to seven, the sum would have to be 12 or above? or it wouldn't work.
prove that :- (sin^2A- sec^2A+ cos^2A) ÷ (cos^2A+ sin^2A- cosec^2A) = tan^4A
Answers
Answer:
Hope this may helps you
What type of angles are labeled and what is the value of m? Show your work.
Answers
The labeled angles are called vertical angles, the the value of m is given as follows:
m = 80º.
What are vertical angles?
Two angles are called vertical angles when they are opposite by the same vertex when two segments are crossing each other.
These two vertical angles are congruent, meaning that they have the same angle measure.
From the image given at the end of the answer, the vertical angles are given as follows:
Angle of (m + 20)º.Angle of 100º.As they are the angles on the opposite sides of the two crossing lines.
Hence the value of the variable m is obtained applying the congruence of the angles, as follows:
m + 20 = 100
m = 100 - 20
m = 80º.
Missing InformationThe problem is given by the image at the end of the answer.
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NEED HELP 45 POINTS PLZ
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
put your answer in comments plz because it will be deleted
Answers
350 is what percent of 400??
Answers
Answer:
350 is 87.5% of 400
350/400 = 87.5%
what is this lol idk im not sure
Answers
Answer:
D.
Step-by-step explanation:
If 3x-y=12 then simplifying will give you x - y/3 =4
Since x and y have individual values and neither is an integer, you know that It is D
Many delivery trucks feature a "How Am I Driving?” sticker on the rear bumper, along with a phone number. This sticker allows drivers to report erratic driving by the truck driver or offer a compliment if they like. A dispatcher at the trucking station accepts calls and records information from those who call the phone number. The dispatcher reports that in the past month, 218 calls were received. Of those calls, 178 reported negative driving behaviors by the truck drivers. How might this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers?
This sample may lead to nonresponse bias because many drivers may not call the phone number.
This sample may lead to undercoverage bias because some drivers will be more likely to be included in the sample.
The sample may lead to response bias because some who call the phone number may not provide a truthful opinion.
This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.
Answers
The way in which this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers is that: D. This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.
What is sampling bias?A sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.
This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly and as such resulting in a sample that is not representative of the entire population.
Generally speaking, a voluntary response sample is a data-collection technique (method) that is always biased because it only include individuals who choose to volunteer, unlike a simple random sample.
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what is the total cost of three shirts 22.50 and two ties 14.90 with a 5% sales tax
Answers
Answer:
$39.37 or $102.165 sorry i didn't understand the question.
Step-by-step explanation:
This is the total if 3 shirts= 22.5 and 2 ties=14.9 + 1.87= 39.37
but if 3 x 22.5= 67.5 and 2 x 14.9= 29.8 + 4.865= 102.165
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answers
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
Of the students living in the dormitories at aa€‹ university, 65% live at the westa€‹ hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 24% of those at the westa€‹ hall, and to 19% of those living at the south tower. Let D be the event that the person receive a coupon, E1 be the event that the person is living in the westa€‹ hall, and E2 be the event that the person is living in the south tower. A student living in a dormitory is randomly chosen.
Required:
Find the probability that this person received a coupon. Also write an expression that models the probability.
Answers
Answer:
The answer is "Option A".
Step-by-step explanation:
Dormitory students.
Please find the complete question in the attched file.
\(p (E_1) =0.73\)indicates that teachers live in the west hall.
\(p (E_2) =0.27\) indicates that the students live in the south tower.
\(P (D|E_1) =0.25\) describes the likelihood which West Hall students received free coupons.
\(P (D|E_2) =0.19\) indicates that students in the south tower were given free coupons.
\(P(D)=P(D|E_1)P(E_1)+P(D|E_2)P(E_2)\\\\=0.25 \times 0.73 +0.19 \times 0.27\\\\=0.234\)
To maximize the probability that the person selected at random will receive the coupon, multiply the following numbers by the possibility of success of the coupon:
Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)
Answers
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Step-by-step explanation:
That's how you can prove which side is bigger
In 2-3, graph the system of equations to find the solution to the system. Then, use the check step to prove that the solution works in both equations. Show all work
Answers
The system of equations has an infinite number of solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
3x + 2y = 6 ____(1)
6x + 4y = 12 _____(2)
Applying the substitution method.
3x + 2y = 6
x = (6 - 2y)/3 in (2)
6 (6 - 2y)/3 + 4y = 12
2 (6 - 2y) + 4y = 12
12 - 4y + 4y = 12
12 = 12
This means,
It has an infinite number of solutions.
Thus,
An infinite number of solutions.
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The complete question is:
Graph the system of equations
3x + 2y = 6
6x + 4y = 12
and find the solution to the system.
Enter the number that belongs in the green box
Answers
The number that belongs in the green box using sine rule is 13.96.
What is sine rule?The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
To calculate the number that belongs in the green box, we use the formula below
Formula:
SinA/a = SinB/b.................. Equation 1From the diagram,
Given:
A = 70°B = 61°b = 15a = xSubstitute these values into equation 1
Sin70°/15 = sin61°/xSolve for x
x = (15×sin61°)/sin70°x = 13.96Learn more about sine rule here: https://brainly.com/question/28523617
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
The scaled triangle will be larger than the initial size by a factor 2.
The scaled square will be smaller than the initial side by a factor 4.
What is dilation?Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.
Dilation involves scaling an object by a certain factor, that might result in enlarging or reducing its dimensions uniformly in all directions.
Based on the given diagram, the new length and size of the object is calculated as follows;
For the triangle, (measure the length with ruler)
new lengths = 2 times the original lengthoriginal length = 2 cm, new length = 4 cmthe new size of the triangle will increase by a factor 2For the square; (measure the length with ruler)
new lengths = 0.25 times the original lengthoriginal length = 4 cm, new length = 2 cmthe new size of the square will decrease by a factor 4Learn more about dilation here: brainly.com/question/20482938
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A box contains orange balls and green balls. The number of green balls is ten more than four times the number of orange balls. If there are 110 balls altogether, then how many green balls and how many orange balls are there in the box?
Answers
Answer:
there are 50 orange balls
Step-by-step explanation:
let green balls be x
orange balls be y
green balls = orange balls + 10
x = y+10
orange balls + green balls = 110
x + y = 10
y + 10 + y = 110
2y + 10 = 110
2y = 110 -10
2y = 100
y = 50
thus there 50 orange balls
Help ASAP this is hard to solve
Answers
Answer:
For the first one it is BEA and the second one is CED
I hope this help I would also appreciate brainliest please :)
Which of the following numbers is rational?
A. 2.5
B. 25
C. 27
D. 257
Help my Dumba** should’ve went to class
Answers
Answer:
Step-by-step explanation:
C:27
Plzz give me brainliest
Because it’s the only one that you can get a perfect square out of
Find the area of the region bounded by
• y = √x,
• y = 2-x², and
y = -√2x.
Answers
The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.
Firstly, we'll graph the equations and find the points of intersection:
y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u
(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u
)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.
The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$
We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$
Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
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Which expression is equivalent to(2^3)^-5
Answers
Answer:
hope this helps if not im sorry
Step-by-step explanation:
(2^3)^5
=2^(3*5)
= 2^15