Answers
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
[tex] \frac{12}{x} = \frac{8}{6} \\ 12 = \frac{8x}{6} \\ 12 \times 6 = 8x \\ \frac{72}{8} = x \\ 9 = x[/tex]
Check
[tex] \frac{12}{x} = \frac{8}{6} \\ \\ \frac{12}{9} = \frac{8}{6} \\ \\ 1.333 = 1.333[/tex]
Related Questions
Mackenzie ha ome red, yellow and blue marble. She ha 3200 more red marble than yellow marble. She ha 3840 more blue than yellow. She give 1490 blue marble away. How many more red marble than blue marble doe he have left?
Answers
We know that there are 850 more red marbles left than blue marbles by solving equations.
What are equations?The equals sign is used in mathematical equations to indicate that two expressions are equal.
An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra.
For instance, the word "equal" separates the formulas 3x + 5 and 14, which together form the equation 3x + 5 = 14.
So, a number of red marbles more than blue marbles is:
Mackenzie has 3200 more red than yellow marbles.
y + 3200 = r
Additionally, she has 3840 more blue than yellow marbles.
y + 3840 = b
Assume Mackenzie has one yellow marble, then.
1 + 3200 = 3201 red marbles
1 +3840 = 3841 blue marbles
She will have left over 2351 blue marbles after giving away 1490
3841 - 1490 = 2351
She now has 3201 red marbles and 2351 blue marbles.
r - b =?
3201 - 2351 = 850
Therefore, we know that there are 850 more red marbles left than blue marbles by solving equations.
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Do the expressions (-2)(3) and (2)(-3) have the same value? Show your thinking .
Answers
(-x)(y) = -xy
(x)(-y) = -xy
Until this happens:
(-x)(-y) = xy
What is an angle that is supplementary to BGD
Answers
Answer:
DGE and BGA
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180°
so BGD + DGE = 180 or BGD + BGA = 180
so both DGE and BGA are supplementary to BGD
pls help due now!!!!!!!!!!!
Answers
Answer:
B. x = 3
Step-by-step explanation:
3³ = 27
3 · 3 · 3 = 27
9 · 3 = 27
Take square root of both
X=3
Brainly pls
Using a given zero to write a polynomial as a product of linear factors: Real zeros
For the polynomial below, -1 is a zero.
g(x)=x³ + 3x² - 7x − 3
Express g(x) as a product of linear factors.
g(x) =
Answers
We can not write the polynomial g(x) as a product of linear factors.
What is polynomial?
Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents (No division operation by a variable).
Given:
g(x)=x³ + 3x² - 7x − 3 and x = -1 is a zero of g(x).
Since, if x = a is a zero of the polynomial then (x - a) is a factor of polynomial.
Here (x - (-1)) = (x + 1) is a factor of g(x).
First to check x = -1 is a zero of polynomial or not.
Plug x = -1 in g(x).
g(-1) = (-1)^3 + 3(-1)^2 - 7(-1) - 3
g(-1) = -1 + 3+ 7 - 3
g(-1) = 6
g(-1) ≠ 0
Hence, we can not write the polynomial g(x) as a product of linear factors.
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Which decimal is equivalent to 2/27
Answers
Answer:
0.07407407
Step-by-step explanation:
divide 2 by 27
Answer:
0.0740
Step-by-step explanation:
just divide 2 by 27
A science club has 13 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get.
Answers
Answer: b/13
Step-by-step explanation:
Divide b by 13 to get b/13
Miles is shopping for a new computer. He finds a computer with an original price of $325. 00 but finds that it is 15% off. After paying a 7% sales tax, how much does miles spend on his new computer?.
Answers
Miles has to spend $295.3375 on his new computer.
Sales tax is applied to the price after the discount is applied because discounts are typically provided directly by the retailer and lower both the sales price and the money the retailer receives.
So Original price of Computer is $325.00
Discount with computer is 15% off.
15% of $325 is (325*15)/100 = $48.75.
Price of computer after discount = 325-48.75 =$276.25
Now sales tax will be applied on this price.
7% sales tax = 0.07
amount of sales tax = 276.25*0.07 = 19.3375
Price of Computer after sales tax = 276+19.3375 = 295.3375.
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If f(x)=2x+1 and g(x)=x−5, find f(x)+g(x) to complete the polynomial
Answers
Answer:
[tex]\huge\boxed{\sf 3x -4}[/tex]
Step-by-step explanation:
Given functions:f(x) = 2x + 1g(x) = x - 5Add both equations.
f(x) + g(x):= 2x + 1 + x - 5
Combine like terms
= 2x + x + 1 - 5
= 3x - 4[tex]\rule[225]{225}{2}[/tex]
Answer:
f(x) + g(x) = 3x - 4
Step-by-step explanation:
The problem is,
→ f(x) + g(x)
Let's solve the problem,
→ f(x) + g(x)
→ (2x + 1) + (x - 5)
→ 2x + 1 + x - 5
→ (2x + x) + (1 - 5)
→ 3x +(-4)
→ 3x - 4
Hence, answer is 3x - 4.
your recipe for oatmeal cookies calls for 3 pounds 3 ounces of oats, you have a 25 pound bag. how many times can you make this recipe?
Answers
We can make 19 oatmeal cookies from the bag.
1 pound = 16 ounces
for making a single unit of oatmeal cookie it uses 21 ounces of oats.
We have 25 pound of oats in the bag which means we have 25 X 16 which is equal to 400 ounces of oats in the bag .
To find how much of oatmeal cookies can be made we have to divide the total amount of oats available in the bag divided by the number of ounces required in making of the single unit of oatmeal .
Therefore,
= 400 / 21
= 19.047
Which means 19 overall pieces of oatmeal can be prepared in the 25 pound of oats bag
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What transformations were applied to the parent function k(x)=x| to obtain f(x)= -1/2|x+3/-1.
Answers
Answer:
The transformations applied to the parent function k(x)=x| to obtain f(x)= -1/2|x+3/-1 are reflection in the y-axis, vertical stretching by a factor of 1/2, and a horizontal shift of 3 units to the right.
Step-by-step explanation:
To obtain f(x) from k(x), we first reflect k(x) in the y-axis, which changes the sign of the function and flips it over the x-axis. This gives us -k(x). Next, we vertically stretch the graph of -k(x) by a factor of 1/2. This makes the graph of -k(x) taller and narrower. Finally, we shift the graph of -k(x) 3 units to the right. This moves the entire graph 3 units to the right on the x-axis. The resulting function is f(x)=-1/2|x+3/-1.To understand why these transformations were applied, it's helpful to consider the effect of each transformation on the graph of k(x)=x|. Reflecting in the y-axis flips the graph over the x-axis and changes the sign of the function, so it becomes -k(x). Vertical stretching by a factor of 1/2 makes the graph of -k(x) taller and narrower. Finally, shifting the graph of -k(x) 3 units to the right moves the entire graph 3 units to the right on the x-axis. This results in the graph of f(x)=-1/2|x+3/-1.
Answer:
(Assuming it is k(x) = |x| and f(x) = -1/2|x+3| -1
Scale vertically by a factor of -1/2
Shift left 3
Shift down 1
Step-by-step explanation:
The -1/2 is multiplied by everything, so it scales the graph vertically by -1/2. The -1 is again, everything(as opposed to just modifying the x), so it shifts the graph down by 1.
The + 3 is a little more confusing. Basically, x would have to be x-3(which is shifting the graph left) in order to retain the same x-value(to make the equation true) for the same value. This is the same for y, but we usually isolate y so it doesn't come up as often. If we add 1 to both sides, we get [tex]f(x) + 1= -1/2|x+3|[/tex], and for the same reasoning the graph would shift down 1 even though it is f(x) + 1, because for the same x-value the y-value would need to be 1 less to make the equation to hold true.
Feel free to message me/comment on this answer if you would like more clarification/why it is "backwards" or anything else about my answer.
I hope this helps!
Select all of the following that are quadratic functions.
x=3y²-6y+5
y+3=-2x2+5
y=2x2−8x+6
y=-7x-4
y-3x=4x³-x² +9
y = 5 x(x +9)-8
y-2x²=3x-2x²+4
DONE
Answers
Step-by-step explanation:
For this select the function with the leading term with the power of 2
1 and 6 are the only quadratic function ( BECAUSE THEY ONLY HAVE FUNCTION WITH GREATEST POWER OF 2)
At a local restaurant, Tony earns $12.50 per hour with a 13% deduction for taxes and social security. His
overall earnings are modeled by the expression, 12.5-0.13(12.5x), where a represents the number of
hours Tony worked.
Tony deposits 38% of his overall wages into his savings account. How many hours will he need to work to save
$1,000?
Answers
The total number of hours Tony will he need to work to save amount $1,000 is 242 hours.
Explain the term deductions on salary?Payroll deductions are sums of money taken out of an employee's overall pay to cover taxes, garnishments, and perks like health insurance. Income tax may be one of these with holdings, which make up the difference in gross pay or net pay. tax on social security.The given data for the question is-
Tony makes $12.50 per hour at a nearby restaurant after a 13% tax and social security deduction.The equation 12.5x - 0.13(12.5x), where an is the total number of hours Tony worked, is used to model his overall earnings.38% of Tony's total pay goes into the savings account.Thus,
38%(12.5x - 0.13(12.5x)) = 1000
0.38(10.875x) = 1000
x = 2631.57/10.875
x = 241.98
x = 242
Thus, total number of hours Tony will he need to work to save
$1,000 is 242 hours.
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1 For 7-8, given two sides of a triangle, find a range of possible lengths for the third side 7. 4 cm, 17 cm 8. 24 ft , 52 ft
Answers
The range of possible lengths for the third side is [16.52,17.46] for 1st part and [46.13,57.27] for 2nd.
What is pythagoras theorem?
The Pythagorean theorem or Pythagoras' theorem could be a elementary relation in parabolic geometry between the 3 sides of a trigon.
Main Body:
To find range of possible lengths for the third side , we will use Pythagoras theorem : a²+b² = c²
7. 4 cm, 17 cm
4²+17²=c²
16+289=c²
305=c²
To undo the square you have to square root so
√ 305 =17.46
OR
17² = 4²+b²
289 -16 =b²
b = √273 = 16.52
range of possible lengths for the third side is [16.52,17.46]
8. 24 ft , 52 ft
24² =576
52² =2704
2704+576=3280
√3280 =57.27
OR
52² = 24²+b²
b²= 2704-576
b=√2128
b = 46.13
range of possible lengths for the third side is [46.13,57.27]
Hence the range of third side is found out.
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Question is attached
Answers
A2=ar^2=1•3^2=9
A3=ar^3=1•3^3=27
Option D} none of the above
Answer:
D) None of the above------------------------------------
Let the numbers be:
1, x, y, z, 81Geometric means give us:
y² = 1*81 ⇒ y = 9Then:
y² = xz ⇒ xz = 81Given options give us:
A) 3*21 = 63 ≠ 81;B) 3*18 = 54 ≠ 81;C) Same as option A (must be a typo);Since all the above options are false, the answer is option D.
Graph the line that has a slope of
1
6
and includes the point (0,0).
Answers
Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].
What is the slope of line?
The slope is always estimated by determining the ratio of the “vertical change” to the “horizontal change” between any two different points on a line.
Here given thaat the line that has a slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex].
Then,
[tex]y=mx+c\\\\y=\frac{x}{5}+c\\\\x=0,y=0\\\\0=0+c\\\\c=0[/tex]
Thus,
[tex]y=\frac{x}{5}+c\\\\c=0[/tex]
Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].
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Answer for brainlist and hearts 19 points and show every step
Answers
To view the representation of graph of check the attached image.
What is called graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
Given that ;
Stewart's overdue assignment = 36
Per day he complete 4 overdue assignments.
To find : In how many days he complete all the overdue assignments
To complete 36 overdue assignments = 36/4
= 9 days
Therefore, In 9 days he complete all the overdue assignments
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To qualify for the next marathon, a runner's time must be less than 314 hours. Indicate whether or not each runner will qualify for the next marathon.
who will qualify?
Answers
Answer:
(It's weird how I answered this question for someone else 12 minutes ago.)
There was no data provided but due to simple research i have conducted the following data
Qualifiers are in bold, italics and underlined.
Step-by-step explanations:
Chio- 3 1/5
Kevin- 3.2
Ojas- 3 8/30
Sydney- 3 13/60
Qualifiers: Chico, Kevin
let me know if this is incorrect data
1/5(4x-2.5)=5(0.4+10)+3 1/3
Answers
The Value of x is 69.78 per given equation.
1/5(4x-2.5) = 5(0.4+10)+3 1/3
0.2(4x-2.5) = 5(0.4+10)+3.33
0.2(4x-2.5) = 5(10.4)+3.33
0.2(4x-2.5) = 52 + 3.33
0.2(4x-2.5)=55.33
4x-2.5 = 276.33
4x = 276.33+2.5
4x = 279.15
x = 69.78
So, the value of x is 69.78
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Name the slope and one point or
y-1=2(x+3)
Q
(__)
=_
m=
Answers
y=2x+7
i.e m= +2
Answer: M=2
y-intercept = (0,7)
x-intercept = (-7/2,0)
Step-by-step explanation:
The slope is already given in the equation, which is 2
M=2
y-intercept = (0,7)
x-intercept = (-7/2,0)
In the following expression, both A and B are variables that can take positive values.
(A+7)*2^B
Which of these actions will cause the expression's value to increase?
Choose 2 answers:
Answers
Answer:
its 3/5 and 9/5
Step-by-step explanation:
HOPE IT HELP :D
What is the value of 9+21(13+5)? 287 395 387 540
Answers
The answer is C. 387
Step-by-step explanation:
9+21(13+5)
First do what is in parentheses:
9+21(13+5)
=9+21(18)
Next do 21(18) or 21 x 18:
9+21(18)
=9+378
The last step is to add:
9+378=387
The answer is C. 387
help pleaseee dlkwekemmwnd right now
Answers
By using the property of congruency of triangles,
[tex]\angle[/tex]Y [tex]\cong[/tex] [tex]\angle[/tex]X has been proved
What is congruency of triangles?
Two triangles are said to be congruent if the corrosponding angles are equal and the corrosponding sides are equal.
There are different axioms of congruency. They are
SSS axiom, SAS axiom, AAS axiom, ASA axiom, RHS axiom
Z is the midpoint of XY [Given]
WZ [tex]\perp[/tex] XY [Given]
[tex]\angle[/tex]WZX [tex]\cong \angle[/tex]WZY [90° each]
XZ [tex]\cong[/tex] YZ [Z is the midpoint of XY]
WZ [tex]\cong[/tex] WZ [Reflexive property of congruency]
[tex]\Delta[/tex] WXZ [tex]\cong \Delta[/tex] WYZ [SAS axiom]
[tex]\angle[/tex]Y [tex]\cong[/tex] [tex]\angle[/tex]X [Corrosponding parts of congruent triangles are congruent]
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Samon opened a bank account with 1. 25% imple interet. The total amount of interet Samon will earn after 20 year i $812. 50. What i the interet for one year?
Answers
162.5 is the simple interest for one year.
What does the term "simple interest" mean?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest.
Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
P = $812.50
T = 1 Year
S.I. = ?
R = 20
According to question,
S.I. = P * R* T/100
= 812.50 * 20 * 1/100
= 16250/100
= 162.5
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a student scores 68 on a geography test and a 249 on a mathematics test. the geography test has a mean of 80 and a standard deviation of 10. the mathematics test has a mean of 300 and a standard deviation of 34. if the data in both tests are distributed equally, which test did the student do better one?
Answers
The student did better in the test of Geography.
What is Standard Deviation ?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
To solve this question, we will use the z-score formula to find the w test in which the student scored better. The z-score formula is;
z = (x - μ)/σ
Now, for Geography we have given :
Test score (x) = 68
Mean (μ) = 80
Standard deviation (σ) = 10
Thus, the z-score here will be :
z = (68 - 80)/10
z = -1.2
Similarly, for Mathematics we have given :
Test score (x) = 249
Mean (μ) = 300
Standard deviation (σ) = 34
Thus, the z-score here will be :
z = (249 - 300)/34
z = -1.5
Since the z-score for Geography is less than that of Mathematics, thus, we can conclude that the Geography test is the one in which the student scored better.
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suppose we have trained 10 different models on the exact same training data, and magically, they all achieve 95% precision. is there any possibility these models could all be combined to achieve better performance? if so, how? if not, why?
Answers
If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.
what is voting ensemble ?Voting is an ensemble technique for making predictions by combining the results of various models. The predictive performance of an ensemble is better than that of a single predictive model in a predictive modeling issue. This is accomplished by the model adding bias, which lowers the variance component of the prediction error
calculation
Voting ensembles frequently produce even better results, so try combining them.
The models should differ greatly for it to operate. 95 percent accuracy.
We will therefore get better results if we combine them.
If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.
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HELP
Q1: e + -10.67 + 553⅝² - e × 8⅘⁴
Q2: 95⅚⁵ + -8⅚ + 1⅜
Q3: e⁸ + ⅓² × π × π³
Q4: φ⁸ ÷ 80 - 1⅗ + -108⅔
Answers
Answer:
Step-by-step explanation:
3
Noah is going to invest in an account paying an interest rate of 7% compounded continuously. How much would Noah need to invest, to the nearest hundred dollars, for the value of the account to reach $12,900 in 10 years?
Answers
The amount of money that Noah needs to invest would be = $ 6,558
What is interest rate?An interest rate is defined as the rate at which an individual receives an interest on an invested funds over a stipulated period of time.
The interest rate (R) = 7% = 0.07 (decimal form)
The time for the investment (T) = 10 years.
The present value of the account (A) = $12,900
n compounding frequency = 1
Using the formula;
A = P (1 +r/n) ^nt
12,900 = P ( 1 + 0.07) ^ 10
12,900 = P (1.07) ^10
12,900 =P 1.96715
P = 12,900/1.96715
P =$ 6,558
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Two similar triangles have perimeters in the ratio of 2:7. The smaller
triangle has sides measuring 6 inches, 7 inches, and 8 inches. How long, in
inches, is the longest side of the larger triangle?
A) 18
B) 21
C) 28
D) 56
E) 74
Answers
Which graph represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3?
number line with closed circle on point negative 9.3 and arrow shaded to the right
number line with open circle on point negative 9.9 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the right
Answers
The graph that represents the solution to the inequality −0.96 is greater than or equal to the product of a number and 0.3 number line with a closed circle on point negative 3.2 and arrow shaded to the left
What is the graph?Generally, To solve this inequality, we can start by multiplying both sides by the reciprocal of 0.3, which is 3. Doing so gives us the inequality:
−0.96 * 3 >= x * 0.3 * 3
Simplifying the right side gives us:
−0.96 * 3 >= x * 0.9
Then we can simplify both sides further:
−2.88 >= x * 0.9
Dividing both sides by 0.9 gives us:
−3.2 >= x
The solution to this inequality is all values of x that are less than or equal to -3.2.
The graph of this inequality would be a number line with a solid dot at -3.2, and a solid line extending to the left of -3.2, as shown below:
(graph with number line and solid dot at -3.2, and solid line extending to the left)
This graph represents the solution to inequality.
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