Answers
first, you need to get rid of the denominators to ease up calculations. you can do that by miltiplying all terms by 12 (which is the result of 3x4)
so the experession now becomes:
8+12y=3
12y=3-8
12y=-5
y= -5/12
Related Questions
Solve for x: −5|x + 1| = 10 (1 point) x = 0 x = −3 and x = 1 x = −1 and x = 3 No solution
Answers
Step 1: Divide both sides by -5.
-5(|x+1|)/-5 =10/-5
|x+1| = -2
Step 2: Solve Absolute Value.
|x+1|=−2
No solutions. (Absolute value cannot be less than 0.)
Answer:
The answer Is 1
Step-by-step explanation:
Got it right trust me
Amy is a software saleswoman. Her base salary is 2300, and she makes and an additional $80 for every copy of English is fun she sells. Let p represent her total pay ( in dollars ), and let N represent the number of copies of English is fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 21 copies of English is fun
Answers
An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the nearest cent.
Answers
The principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
To find the principal amount needed to have $3000 after 5 years with 6% simple interest, we can use the formula for simple interest:
Simple Interest = Principal * Rate * Time
where Rate is the interest rate as a decimal, and Time is the time period in years.
We can rearrange this formula to solve for the Principal:
Principal = Simple Interest / (Rate * Time)
In this case, we want to find the Principal that will yield $3000 after 5 years with 6% simple interest. Therefore, we have:
Simple Interest = $3000
Rate = 0.06
Time = 5 years
Plugging these values into the formula, we get:
Principal = $3000 / (0.06 * 5) = $10,000
Therefore, the principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
1.5d + 3.25 = 1 + 2.25d ---What are the steps to find x?
Answers
1.5d +3.25 = 1 +2.25d
3.25 = 1 + .75d -1.5d on both sides
2.25 = .75d subtraction 1 on both sides
3 = d divide both sides by .75
I need help with 34 and 35. Thanks
Answers
For point (4, 7), x = 4 and y = 7 (these are the vertical & horizontal lines). We know this because the y coordinate will always be the horizontal line and the x coordinate will always be the vertical line.
For point (3, -2), it's the same situation. Since 3 is your x coordinate, the vertical line will be x = 3. Since -2 is the y coordinate, the horizontal line will be y = -2.
What did the point say to the segment
Answers
Points, rays and lines are all elements of a coordinate geometry. The text that completes, sentence A to D is as follows:
LinePlaneCollinearCoplanarFigure E is a point, while figure F is a ray
I've added as an attachment, the complete question.
A. Two points
When there are two points (say points A and B), there can only be one line segment in these points. The line segment is AB or BA
B. Three points
A plane is formed by three points. So, for any three points (whether they are collinear or not), there is exactly one plane.
C. Points on the same line
When there are more than one points on a line, such points are said to be collinear.
D. Points on the same plane
When there are more than one points in a plane, such points are said to be coplanar.
E. & F
A point is represented with a dot; So, the figure in (E) is a point.
A ray has one endpoint and an arrow at the other end. So, AB is a ray.
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1/6 ÷4/7=?please help I don't understand this
Answers
Reciprocal of 4/7= 7/4
1/6*7/4= 7/24
Final answer: 7/24
I don't understand how to do this problem.
Answers
x = 4
EF = 14
CF = 7
EC = 7
-------------------------------------------------------------
-------------------------------------------------------------
Work Shown:
C is the midpoint of segment EF. This means that EC = CF. In other words, the two pieces are congruent.
Use substitution and solve for x
EC = CF
5x-13 = 3x-5
5x-13+13 = 3x-5+13
5x = 3x+8
5x-3x = 3x+8-3x
2x = 8
2x/2 = 8/2
x = 4
Now that we know that x = 4, we can use this to find EC and CF
Let's compute EC
EC = 5x - 13
EC = 5*x - 13
EC = 5*4 - 13 ... replace x with 4
EC = 20 - 13
EC = 7
Let's compute CF
CF = 3x - 5
CF = 3*x - 5
CF = 3*4 - 5 ... replace x with 4
CF = 12 - 5
CF = 7
As expected, EC = CF (both are 7 units long).
By the segment addition postulate, we can say EC+CF = EF
EC+CF = EF
EF = EC+CF
EF = 7+7
EF = 14
Prove that if you pick three socks from a from a drawer containing only black or blue socks that you must get a pair or either black or blue.
Answers
Find an upper limit for the zeros of 2 x4 - 7 x3 + 4 x2 + 7 x - 6 = 0
Answers
The upper limit for the zeros of the given equation is x=32.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given an equation as [tex]2x^4 - 7x^3 + 4x^2 + 7x - 6 = 0[/tex]
Step 1: First we have to Factor the left side of the equation.
(x+1)(x−1)(x−2)(2x−3)=0
Then Set factors equal to 0.
x+1=0
x−1=0
or x−2=0
2x−3=0x=−1
x=1 or x=2 or x=32
Therefore, x =−1 or x=1 or x=2 or x=32
The upper limit for the zeros of the given equation is x=32.
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Michael wants to eliminate the variable y from the system below by adding. First, he will have to multiply one of the equations by a number. Which step will enable him to eliminate y by adding?
Answers
7x - 6y = 8
2x + 2y = 6....multiply by 3
--------------
7x - 6y = 8
6x + 6y = 18 (result of multiplying by 3)
-------------add
13x = 26.......poof...the y's have been eliminated :)
x = 2
Find the eleventh term of the last term of A.P.
27,23,19,.....-65.
Answers
Term 1 = 27
Term 2 = 27 - 4 = 23
Term 3 = 23 - 4 = 19
Term 4 = 19 - 4 = 15
Term 5 = 15 - 4 = 11
Term 6 = 11 - 4 = 9
Term 7 = 9 - 4 = 5
Term 8 = 5 - 4 = 1
Term 9 = 1 - 4 = -3
Term 10 = -3 - 4 = -7
Term 11 = -7 - 4 = -11
The eleventh term = -11
If a student received a score of 75% on a text in which 96 questions were answered correctly, how many questions were on the test?
Answers
96/x=75/100
YOU CAN CROSS MULTIPLY
Final answer:
To find the total number of questions on the test, we divide the number of correctly answered questions (96) by the score as a decimal (0.75), which gives us 128 questions in total.
Explanation:
To determine the total number of questions on the test, we can use the given information that a student received a score of 75% by answering 96 questions correctly. The percentage score represents the fraction of the total number of questions that were answered correctly. So, if 96 questions were 75% of the total, we can find the total number of questions (T) using the following equation:
75% of T = 96
0.75 × T = 96
T = 96 / 0.75
T = 128
Therefore, there were 128 questions on the test.
I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its width. What dimensions should i use?
Answers
The formula for perimeter is:
P = 2 h + 2 w
where P is perimeter = 120 cm, h is height, w is width
we are also given that: h = (2/3) w, therefore:
P = 2 (2/3) w + 2 w = 120
(4/3) w + 2 w = 120
w = 36 cm
Therefore l is:
l = (2/3) w = 24 cm
Hence the dimension should be 24cm by 36 cm
Larry has $20 to spend at the store. He plans to purchase five items that cost $5.79, $7.63, $3.46, $2.99, and $3.65. Larry estimated his total cost to make sure he has enough money for his purchases. Is his estimate accurate? Explain why or why not. $5 + $7 + $3 + $2 + $3 = $20
Answers
Answer:
Larry did not round correctly. He used front-end estimation, but he did not round up when appropriate. His estimate will be lower than the amount of money he needs.
Step-by-step explanation:
yeah
Larry's estimation is incorrect.
The total cost of the items that Larry bought will be:
= $5.79 + $7.63 + $3.46 + $2.99 + $3.65
= $23.65
Since Larry estimated his total cost to be $20 while the correct answer is $23.65, then his estimate is wrong.
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help please with b. and d.
Answers
b.
(x-3)(x+2)
-3+2=-1
-3*2=-6
d.
(x-6)(x-7)
-6-7=-13
-6*-7=42
Jack leaves the caves and runs directly north for 9 miles. He then turns and runs 12 miles east. How many miles is he from the caves?
Answers
9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
sqrt 225 = c
15 = c <=== Jack is 15 miles from the cave
Consider the expression −2 + 5a + b + 2a − 5b.
Which term can be combined with 5a because they are like terms?
–2
b
2a
–5b
Answers
so 5a and 2a are like terms
examples :
3b and 4b are like terms
3b and 4a are not like terms
2a^2 + 3a^2 are like terms
2a and 3a^2 are not like terms
3ab and 4ba are also like terms...even though the variables are switched
6b^2a and 6a^2b are not like terms
Answer:
2a is the answer
Step-by-step explanation:
3(x-4)<-15 solve for x
Answers
if you multiply or divide both sides by a negative, flip the inequality direction
3(x-4)<-15
divide both sides by 3
x-4<-5
add 4 to both sides
x<-1
Divide Each side by 3:
x - 4 < -5
Add 5 to both sides:
x < -1
Hope this helps!
Find three consecutive odd integers such that the sum of the first, two time the second and three times the third is 46
Answers
I'm assuming this is what you meant.
To find the three consecutive odd integers that satisfy the given conditions, we set up an equation x + 2(x + 2) + 3(x + 4) = 46, solved it to find x = 5, and then found the integers as 5, 7, and 9.
We are given a problem to find three consecutive odd integers where the sum of the first, two times the second, and three times the third equals 46. Let's label our integers as x (the first), x+2 (the second), and x+4 (the third), as the differences between odd integers are 2.
The equation, based on the problem statement, is:
x + 2(x + 2) + 3(x + 4) = 46
Distribute and combine like terms:
x + 2x + 4 + 3x + 12 = 46
6x + 16 = 46
Subtract 16 from both sides:
6x = 30
Divide both sides by 6:
x = 5
Therefore, the three consecutive odd integers are:
x = 5 (first integer),
x + 2 = 7 (second integer),
x + 4 = 9 (third integer).
Checking the solution: 5 + 2(7) + 3(9) = 5 + 14 + 27 = 46, which confirms our answer is correct.
Translate the phrase into a numerical expression.
1. seven multiplied by three
2. twice the opposite of eleven
Answers
7*3 the little star mean times
2. Twice the opposite of eleven= 2x+11
22 less than 3 times the number
3x-22
3x-22=2x+11
3x-2x=11+22
x= 33
So , it would be 2x+11 x is 33
Hope this helps good luck
simplify -52 + 8|-1| + (-3)
Answers
First take the 8|-1|
anything between the lines is turned positive. therefore it simplifys to just 8 * 1
so now we have -52 + 8 + (-3)
-52 + 8= -44
-44+(-3)=-47
therefore
8 x 1 = 8
-52 - 3 = -55
-55 + 8 = -47
-47 is your answer
hope this helps
Does there exist a function that is not a relation
Answers
It's like the relationship between a rectangle and a square. A rectangle has 4 right angles and 2 sets of congruent sides while a square has 4 right angles and all sides are congruent. Which means that a rectangle is a square, but a square may not always be a rectangle.
Every function is a kind of relation by definition. A function is a relation where every input is paired with exactly one output. Therefore, there doesn't exist a function that isn't a relation.
Explanation:In mathematics, every function is a relation, but not every relation is a function. A function is a special type of relation where every input (or x-value) is paired with exactly one output (or y-value). This is often referred to as the vertical line test. If any vertical line intersect the graph of the relation at more than one point, then it is not a function. Therefore, there does not exist a function that is not a relation, because by definition, a function is always a relation.
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At 9:54
a.m., a patient's temperature was 101.5 degrees. At 10:41, the nurse took the patient's temperature again and found it was 105.8 degrees, the highest ever recorded. How long did it take for the patient's temperature to reach this record high?
Answers
It took approximately 47 minutes for the patient's temperature to reach a record high of 105.8 degrees, calculated by subtracting the start time from the end time.
Explanation:The subject question involves the calculation of time that elapses between two events - a start time of 9:54 a.m. and an end time of 10:41 a.m. To calculate this, we subtract the start time from the end time.
Begin by converting the times to a 24-hour clock, where 9:54 a.m. is 9.9 (as each minute represents a fraction of a full hour) and 10:41 a.m. is 10.68. Then, subtract 9.9 from 10.68 to get 0.78. This means that 0.78 hours has passed, which is equivalent to approximately 47 minutes when converted back into minutes (0.78 x 60).
So, it took approximately 47 minutes for the patient's temperature to reach the record high of 105.8 degrees.
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Which of the following, if substituted for y, would make the following inequality a true statement? –14 < y – 12?
Answers
For example y=0
-14 < 0-12
= -14 < -12
(01.05) what is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)? (1 point) y = 6x − 14 y = −6x + 14 y = −6x − 14 y = 6x + 14
Answers
slope = (16 - 4) / (5 - 3) = 12/2 = 6
y = mx + b
slope(m) = 6
use either of ur points (3,4)...x = 3 and y = 4
sub and find b, the y int
4 = 6(3) + b
4 = 18 + b
4 - 18 = b
-14 = b
so ur equation is : y = 6x - 14
Answer:
The answer is [tex]y=6x-14[/tex]
Step-by-step explanation:
In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.
[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]
For m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, first we have to define every variable and then we replace them into the formula:
[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]
It doesn't matter the order of how you define the points. The result will be the same.
Then:
[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]
Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]
What is 5 meters every 2 seconds as a unit rate
Answers
How many numbers are 10 units from 0 on the number line?
Answers
So, there are 2 numbers that are 10 units away from 0.
How many lateral faces does a triangular pyramid have
Answers
I hope this helped have a great day.
The number of lateral faces for a triangular pyramid is 3.
Given data:
Let the number of lateral faces for a triangular pyramid be A.
Now, A triangular pyramid has 3 lateral faces.
Each of these lateral faces is a triangle.
The base of the pyramid is not considered a lateral face.
It has one base face and three lateral faces.
All four faces are triangles.
It has four vertices or points.
It has six edges or line segments.
Hence, the number of lateral faces is 3.
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Find k so that the three equations 3x-y=2, 2x+8=3y, and y=kx have a common solution
Answers
3x-kx=2. (3-k)x-2=0
3k-2)x+10=3-k)x
4k-5=10/x
///////
3x-y-2=2x+8-3y
X+2y-10=0
X+2kx-10=0
K=(10-x)/2x