Answer:
x= -30.5
Step-by-step explanation:
In order to solve equations like this, we need to have all the x terms on one side, and all the other terms on the other side. For this equation so far, the x term (2x) is not alone (there is a +2) so we need to move the +2 to the other side to have x by itself. Whatever you do to one side of equation, you must also do to the other side to keep the equation equal. Therefore we can subtract 2 from both sides which moves the two to the other side while keeping the equation equal. In order to move a term to the other side, we must do the operation opposite to what the term has. E.g. +2 is adding 2, so to move it to the other side, we need to subtract 2.
2x +2 -2 = -59 -2
Which cancels out the 2 on the left side and gives us:
2x = -59-2
2x = -61
Then we just need to remove the 2.
In this case, this 2 is being multiplied to the x, so to move it, we will need to divide both sides by 2.
2x/2 = -61/2
which finally gives us:
x = -30.5
Hope this helped!
zane bought a pair of jeans that originally cost $56. he used a coupon for 25% off and paid$8 in sales tax
Answer:
$38.64
Step-by-step explanation:
so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer
Answer:
He paid 50 dollars
Step-by-step explanation:
25% off = 75/100 x 56 = 42
42 + 8 = 50
if this question is about what percentage the tax is, then the answer would be 19.05%
x/100 x 42 = 50
42x/100 = 50
42x = 5000
x = 5000/42
x = 119.05
119.05 - 100 = 19.05%
The difference of two times a number and three
Answer:
2n - 3
Step-by-step explanation:
The difference of implies a subtraction between two terms. Two times a number, implies some number being multiplied by two. Hence, we can build the expression:
2n - 3
Where n represents the unknown number.
Cheers.
Find the missing number to make the average correct. The average of 11, 17, 18, and ? is 17.
Answer:
The missing number is:
22
Step-by-step explanation:
There are 3 numbers and one more
4 numbers and your average is 17
then:
17*4 = 68
then:
11 + 17 + 18 + a = 68
46 + a = 68
a = 68 - 46
a = 22
Check:
(22 + 11 + 17 + 18)/4 = 17
68/4 = 17
90 POINTS & Brainliest Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes
Using the numbers you have :
6 to -2
-2 to 2
4 to 1
-1 to 1
This is a function.
An input can only have one output, but an output can have multiple inputs.
We can make a table with the values we are given.
6 and -2
4 and -1
2 and 2
-2 and 1
Since no x-value repeats itself, it is a function. To make a function, no x-values can be repeated.
Best of Luck!
Which statement about this system of equations is true?
A. The system has a unique solution at (0,6)
B. The system has a unique solution at (0,-4)
C. The system has no solution
D. The system has infinitely many solutions
Answer:
The system has NO solution
Answer C in your list
Step-by-step explanation:
Notice that the lines are parallel, they will not intercept, and therefore there is no answer to the system
The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population. (image) (a) Approximate the variance of the times. Round the answer to at least two decimal places. The variance is (b) Approximate the standard deviation of the times. Round the answer to at least two decimal places. The standard deviation is
Answer:
Variance = 0.1645
Standard deviation = 0.4056
Step-by-step explanation:
Kindly check attached picture for detailed explanation
HELP ASAP ILL GIVE YOU ALL!!! What is the coefficient of (6x^2-4x-5)-
Answer:
32x-5
Step-by-step explanation:
6x^2-4x-5
36x-4x-5
32x-5
Which value of x is a solution of the equation 4(x + 3)- 10 = 6(x - 2)?
Answer:
X=7
Step-by-step explanation:
4(x+3) - 10=6 ( x-2)
multiply
4x +12 - 10 = 6x - 12
4x + 2 = 6x- 12
subtract the positive 2 to the -12
4x = 6x -14
subtract 6x to the 4x
-2x = -14
divide -2 from the -14 (neg divided by a neg = positive)
x= 7
P (x) is a polynomial. Here are a few values of P (x): P(-5)=-2 and P (5)=-1 What is the remainder when P(x) is divided by (x+5)? (Answer choices in the picture)
Answer:
– 2
Step-by-step explanation:
From the question given above, the following data were obtained:
P(x) = polynomial
P(–5) = – 2
P(5) = –1
Remainder when P(x) is divided by
(x + 5) =?
To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:
Let (x + 5) be equal to 0
(x + 5) = 0
x + 5 = 0
Subtract 5 from both side
x + 5 – 5 = 0 – 5
x = –5
Replace x in P(x) with –5 as shown below:
P(x) = polynomial
x = – 5
P(–5)
From the question given above,
P(–5) = – 2
Therefore, when P(x) is divided by
(x + 5), the remainder is – 2.
Can someone help my son with this it’s homework and he don’t understand it
Hey there! I think the answer is (-1,3)
Compete the equatuon descibing how x and y are related
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and
D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree
with Priya, or do you agree with Tyler? Explain your reasoning.
A
B
C
D
Answer:
No, I do not agree with them. Both are wrong.
Step-by-step explanation:
For a shape or figure to be considered a scaled copy of another, the length of all the segments of scaled copy must be equal to the length of all corresponding segments of the original figure multiplied by the same scale factor.
By examining the scaled copies B, C, and D, we would conclude that only D can be referred to as a scaled copy of D, because all the segments are exactly twice the corresponding segments of A. C and B do not have all its segment scaled in the same proportion.
Therefore, we cannot agree with Priya, nor Tyler. They are both wrong.
HELP ASAP!!! To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply. StartFraction 12 eggs Over 2 tablespoons EndFraction StartFraction 15 eggs Over 3 tablespoons EndFraction StartFraction 24 eggs Over 4 tablespoons EndFraction StartFraction 9 eggs Over 1.5 tablespoons EndFraction
Answer:
Options A, C and D.
Step-by-step explanation:
It is given that, we need 1 tablespoon of butter for every 6 eggs to make a quiche.
Ratio that compares these two quantities [tex]=\dfrac{6\text{ eggs}}{1\text{ tablespoons} }[/tex]
We need to find the ratios which are equivalent to this ratio.
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{2}{2}=\dfrac{12\text{ eggs}}{2\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{3}{3}=\dfrac{18\text{ eggs}}{3\text{ tablespoons} }\neq \dfrac{15\text{ eggs}}{3\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{4}{4}=\dfrac{24\text{ eggs}}{4\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{1.5}{1.5}=\dfrac{9\text{ eggs}}{1.5\text{ tablespoons} }[/tex]
Therefore, the correct options are A, C and D.
Answer:
A,C,D
HOPE THIS HELPS!
12. Higher order Thinking is the Product of two irrational numbers always an irrational number ? Explain
Answer:
Not always but sometimes
Step-by-step explanation:
The product of two irrational numbers is sometimes and not always an irrational number.
So, Let us take two Example:
Example # 1:
Let the two irrational numbers be [tex]\sf \sqrt{37} \ and \ \sqrt{2}[/tex]
So, Multiplying these will give us
=> [tex]\sf \sqrt{37} * \sqrt{2}[/tex]
=> [tex]\sf \sqrt{74}[/tex]
Which is an irrational number.
Example # 2:
Let the two irrational numbers be [tex]\sf \sqrt{2} \ and \ \sqrt{2}[/tex]
So, Multiplying them would give us:
=> [tex]\sf \sqrt{2} * \sqrt{2}[/tex]
=> [tex]\sf (\sqrt{2} )^2[/tex]
=> 2
Which is a rational number.
This means that the product of two irrational numbers is not always an irrational number but sometimes an irrational number.
Al terminar de pintar la puerta de su recamara Gerardo observó que le quedaron 3/4 de litro de pintura, sí utilizó 5/8 de litro en pintar, ¿cuánta pintura tenía antes de empezar a pintar?
Answer: Tenias 1 3/8 de litros.
Step-by-step explanation:
Necesitas de sumar lo que quedo y lo que uso Gerardo, pero el 8 y el 4 necesitan de ser iguales. Si multiplicas 4x2 te da 8 y serían iguales. As lo mismo con el tres: 3x2 y te da 6. Suma el 6 por 5 y te da 11/8. Simplifica y te dará 1 litro y 3/8.
Mark is three times as old as Julie. The sum of their ages is 56. How old is Mark? If J = Julie's age and M = Mark's age, which system of equations could be used to solve the problem? 3J = M and J + M = 56 J = 3M and J + M = 56 J = 3M and JM = 56
Answer:
Mark is 42. 3J = M and J + M = 56
Step-by-step explanation:
Since Mark is 3 times as old as Julie, and the sum of their ages is 56, you could divide 56 by 4 (one time because of Julie’s age, the other 3 times because of how many times Mark is older than Julie) You would get 14. That means that Julie is 14. To find Mark’s age, you would multiply 14 (Julie’s age) by 3. The answer would be 42.
you must be at least 18 years old to vote
Answer:
To vote you need to be a US citizen and be at least 18 years old by election day
Answer:
18 years old to vote
Step-by-step explanation:
You must be 18 years old to vote and you have to be a citizen. Also to vote, you have to be a resident of Florida. So therefore, yes you have to be 18 years old to vote.
Hope this Helps!
3(2x-1)=4x+12 what value of X satisfies the equation above
Answer:
[tex]x = \frac{15}{2} \\\\x =7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3\left(2x-1\right)=4x+12\\\\\mathrm{Expand\:}3\left(2x-1\right):\quad 6x-3\\6x-3=4x+12\\\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\6x-3+3=4x+12+3\\\\Simplify\\6x=4x+15\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\6x-4x=4x+15-4x\\\\Simplify\\2x =15\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{15}{2}\\\\Simplify\\x = 15/2[/tex]
Answer:
[tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3(2x-1)=4x+12\\[/tex]
Use 3 to open the bracket
[tex]3(2x-1) = 6x -3\\\\ 6x-3 = 4x+12\\[/tex]
Collect like terms and simplify
[tex]6x-4x = 12+3\\2x = 15[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{15}{2} \\\\x = \frac{15}{2} = 7\frac{1}{2}[/tex]
Can some body please help me with #12 pleassssssse T^T
Demitrius deposited $41.67, which was 60% of his paycheck.
Using this, we can make an equation.
If x is the amount of his paycheck,
[tex]0.6x=41.67[/tex]
[tex]x=69.45[/tex]
The value of the paycheck was $69.45.
Hope this helps.
頑張って!
Peter bought 45 greeting cards at 3 for $2.00. he sold them for 5 for $4.00. how much money did he make
Step 1) Set up a proportion to find how much Peter spent
45 cards / x dollars = 3 cards / 2 dollars
Step 2) Cross-multiply to solve the proportion
3x = 90
x = $30
Step 3) Set up a proportion to find how much Peter made
45 cards / x dollars = 5 cards / 4 dollars
5x = 180
x = $36
Step 4) Subtract the amount Peter made by the amount he spent
36 - 30 = $6
Answer: Peter made $6
($2/3) * 45 = $30
($4/5) * 45 = $36
$36 - $30 = $6
There are two different music download companies that offer a monthly plan for downloading songs. S-Jams charges $1.29 per song plus $10 monthly fee. C-tunes charges $0.99 per song plus $16 monthly fee. When will the company’s plans cost the same? Write an expression for the cost of S-Jams.
Answer:
Thus, when both S-jams and C-tunes have 20 songs downloaded in a month , the cost will be same.
an expression for the cost of S-Jams $0.99n + $16
Step-by-step explanation:
For
S-Jams
cost of 1 song = $1.29
let there be n songs downloaded in a month
then
cost of n songs = n*cost of 1 song = $1.29n
monthly fee = $10
Total cost of S-Jams = $1.29n+$10
________________________________________
For
C-Tunes
cost of 1 song = $0.99
let there be n songs downloaded in a month
then
cost of n songs = n*cost of 1 song = $0.99n
monthly fee = $16
Total cost for C-Tunes= $0.99n + $16
we have to find When will the company’s plans cost the same.
Total cost of S-Jams = Total cost of C- Tunes
1.29n+10 = 0.99n + 16
=> 1.29n - 0.99n = 16-10
=> 0.30n = 6
=> n = 6/0.3 = 20
Thus, when both S-jams and C-tunes have 20 songs downloaded in a month , the cost will be same.
an expression for the cost of S-Jams $0.99n + $16
Name the rays on line c.
Answer:
BC, BD, BQ, CB, CD, CQ, DB, DC, DQ, QB, QC, QD
Step-by-step explanation:
"BC, BD, BQ, CB, CD, CQ, DB, DC, DQ, QB, QC, QD" Are all the possible rays on line c.
What is 8.6 increased by 75%
Answer:
15.05
Step-by-step explanation:
8.6 is 100% of 8.6.
To increase it by 75%, you'll end up with 175% of 8.6
175% of 8.6 =
= 1.75 * 8.6
= 15.05
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.
Student Math Writing
1 540 474
2 432 380
3 528 463
4 574 612
5 448 414
6 502 526
7 480 430
8 499 453
9 610 615
10 572 541
11 390 335
12 593 613
(a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score − writing score.)
(b) Calculate the test statistic.
Answer:
Calculated t= 0.011659
t ≥ t ( 0.025,11) = 2.201
So the null hypothesis is accepted.
Step-by-step explanation:
Student Math Writing Difference d²
math score − writing score
1 540 474 66 4356
2 432 380 52 2704
3 528 463 65 4225
4 574 612 -38 1444
5 448 414 34 1156
6 502 526 -24 576
7 480 430 50 2500
8 499 453 46 2116
9 610 615 -5 25
10 572 541 31 961
11 390 335 55 3025
12 593 613 -20 400
∑ 6168 5856 312 23488
1) We state our null and alternative hypothesis as
H0: ud= 0 Ha: ud≠0
2) The significance level alpha is set at α= 0.05
3) The test statistic under H0 is
t= d`/ sd/√n
which has t distribution with n-1 degrees of freedom.
4) The critical region is t ≥ t ( 0.025,11) = 2.201
5) Computations
d`= ∑di/n= 312/12= 31.2
Variance = ∑(di- d`)²/n-1= 1/n-1 [ ∑di²-( ∑di)²/n]
= 1/11[ 23488- (312)²/12]
= 1/11[ 23488- 8112] = 1/11[15376]= 5976.7272
Standard Deviation= √ 5976.7272= 77.2510= 77.25
Now t= 3.12/77.25/√12= 0.011659
The calculated t value= 0.011659 falls in the acceptance region . So we accept our null hypothesis and reject the alternative hypothesis.
While riding on a carousel, Angela travels a distance of 65 meters every 15 seconds. What is her speed in kilometers per hour? A. 3.9 km/hr B. 14.4 km/hr C. 15.6 km/hr D. 156.0 km/hr
Prove that the EOQ cost function can be rewritten as
g(Q) = h/2 * Q(Q - underroor 2K/h) + underroot 2Kh
Use this to prove without using calculus.
Answer:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
Step-by-step explanation:
Given that:
[tex]g(Q) = \dfrac{h}{2 \lambda Q} \begin {pmatrix} Q- \sqrt{\dfrac{2 K \lambda}{h}} \end {pmatrix}^2 + \sqrt{\dfrac{2 Kh}{\lambda}}[/tex]
Total cost = Purchase Cost + Ordering Cost + Holding Cost
i.e
T = [tex]P \lambda + h \dfrac{Q}{2}+\dfrac{\lambda K}{Q}[/tex]
By differentiating with respect to Q and equating to zero, we have:
[tex]0 = 0 +\dfrac{h}{2}- \dfrac{\lambda K}{Q^2}[/tex]
[tex]Q* = \sqrt{\dfrac{2 k \lambda}{h}}[/tex]
Now;
[tex]T = P \lambda + \dfrac{h}{2Q}(Q-Q^*)^2 + hQ^*[/tex]
[tex]T = \dfrac{h}{2Q}(Q- \sqrt{\dfrac{2 \lambda K}{h}})^2 + \sqrt{2 hK \lambda } + P \lambda[/tex]
[tex](\dfrac{T - P \lambda}{\lambda }) = \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}[/tex]
Therefore:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
What’s the number between -6 and -7 on a number line
Answer: -6.5
Step-by-step explanation:
To find the number between them,find their average or mean .
-6 + -7 = -13
-13/2 = -6.5
The number between them is -6.5
What number is greater than 271,680 but less than 276,108
Answer:
276,108 < x < 271,680
Step-by-step explanation:
*Hope this helped*
What is your average speed in miles per hour and in feet per second if you travel a mile in 16 minutes?
Step-by-step explanation:
Mile Per Hour to Foot Per Second Conversion Table
Miles Per Hour Feet Per Second
16 mph 23.47 ft/s
17 mph 24.93 ft/s
18 mph 26.4 ft/s
19 mph 27.87 ft/s
Which point would represent the value of v—72 Include the letter of the answer and then justify your response using complete sentences.??
Answer:
Verbal expression x more than 7 can be represented ... If a team scores 27 points in a game, then 6T + p ... Algebraic expressions include variables, numbers, ... the sides of a cube all have the same length, V = x • x • x, or x ... Write a sentence describing what the length of ... REASONING Explain how to evaluate a[(b − c)
Step-by-step explanation: