=>−5x+3y+−3y=5+−3y
=>−5x=−3y+5
Divide both sides by -5\( \sf \: = > \dfrac{ - 5x}{ - 5} = \dfrac{ - 3y + 5}{ - 5} \)
Answerx=3/5 y - 1
\( \frac{3}{5} y - 1\)
Answer:
x = \(\frac{3}{5}\) y - 1
Step-by-step explanation:
3y - 5x = 5 ( subtract 3y from both sides )
- 5x = - 3y + 5 ( divide through by - 5 )
x = \(\frac{3}{5}\) y - 1
A number is multiplied by 2, and then the product is added to 9. The result is 49
Answer:
the answer would be twenty
Step-by-step explanation:
20x2=40 +9=49
49=49
Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary. What is the rate if the base is 366 and the portion is 50?
Answer:
\(\Huge \boxed{\text{13.66$\%$}}\)
Step-by-step explanation:
To find the rate, we need to use the following formula:
\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)
Where "Portion" is the part of the whole and "Base" is the whole.
Now, let's plug in the given values:
\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)
Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).
----------------------------------------------------------------------------------------------------------
For what value of A is the function, (x), continuous at x=0?
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1
(iii) h(0) = 1/7
The value of λ must be 7, for h(x) to be continuous at x = 0.
The given function is,
h(x) = 1/7, when x = 0
= 1 - 2 cos 2x, when x < π/2
= 1 + 2 cos 2x, when x > π/2
= x cos x/sin λx, when x < 0
Now,
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1
(iii) h(0) = 1/7
Since the function is continuous at x = 0, so
\(\lim_{x \to 0}\) h(x) = h(0)
\(\lim_{x \to 0}\) x cos x/sin λx = 1/7
\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7
1/λ = 1/7
λ = 7
Hence the value of λ must be 7.
To know more about continuous here
https://brainly.com/question/30089268
#SPJ1
I’ll mark as brainliest!!
Answer:
7/10
Step-by-step explanation:
0.7 = 7/10
You can't simply further so this is the final answer.
Answer:
x = 7/9
Step-by-step explanation:
Let x = 0.7777.....
Multiply both sides by 10
10x = 7.7777......
x = 0.7777...... {Subtract}
9x = 7
x = 7/9
what is 3.333 divide by 10
Answer:
0.3333
____________
The sixth grade went to the museum for a field trip. There
are 75 students in the sixth grade, and 21 students did not
go. What percentage of students did not go on the field trip?
o 12%
o 28%
o 50%
O 65%
Let y be the number of dollars that Jon has and let x be the number of dollars Steve has. The graph shows the relationship between how much money they each have, as Jon pays Steve
The \(y\) and \(x\) axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, \(y=6+x\) is the pictorial representation.
What are type and graph?A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).
What purposes do graphs serve?A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.
To know more about graph visit:
https://brainly.com/question/17267403
#SPJ1
m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
fill in the table using this function rule y = 25 - 2x
Answer
x | y
1 | 23
2 | 21
5 | 15
6 | 13
Explanation
We can solve each of these by inserting the values for x
y = 25 - 2x
when x = 1
y = 25 - 2x
y = 25 - 2(1)
y = 25 - 2
y = 23
when x = 2
y = 25 - 2x
y = 25 - 2(2)
y = 25 - 4
y = 21
when x = 5
y = 25 - 2x
y = 25 - 2(5)
y = 25 - 10
y = 15
when x = 6
y = 25 - 2x
y = 25 - 2(6)
y = 25 - 12
y = 13
Hope this Helps!!!
Three friends got the prize money worth 120000 The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.
Answer:
yes you are at most right for 10099000
1. If 50 students in a college dorm with 500 students develop influenza during one month, what is the proportion of students who became ill
Lois and her team used the number of red candies in a
small 9 ounce bag to predict the number of red candies in
a large 33 ounce bag. If Lois counted 12 red candies in the
small bag, Predict the number of red candies in the large bag.
Use proportional reasoning and show algebraic work.
Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:
P = Proportion of red candies in the large bag
R = Red candies in the small bag
R × (33/9) = P
12 × (33/9) = P
P = 40 red candies in the large bag
Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ1
The variable p varies inversely as the square of q. When p = 36, q = 25.
When p = 4, q=
When q = 10, p =
Answer:
p=4: q = 75q=10: p = 225Step-by-step explanation:
You want to know various values of p and q when p varies inversely as the square of q, and p=36 when q=25.
VariationA formula describing the variation of one variable with another will generally have a constant of variation, which we choose to represent here by the letter k.
Since p varies inversely as the square of q, the formula can be written as ...
\(p=\dfrac{k}{q^2}\)
Multiplying by q² gives us a way to find the value of k from known values of p and q:
k = p·q²
k = 36·25² = 22500 . . . . . . using the given values of p and q
We can also rearrange the formula to give q as a function of p:
q = √(k/p)
Table of valuesWe are interested in q for p=4, and in p for q=10.
q = √(22500/4) = 75
p = 22500/10² = 225
When p=4, q = 75When q=10, p = 225A box is 36 inches long,18 inches wide, and 6 inches deep. How many cubic feet are in the box?
3888
Step-by-step explanation:
take
36×18×6=3888
Write A linear equation in standard form the passes through the points (4,-2) and (2,6)
Answer:
Step-by-step explanation:
4 x + y =
14
A.3(f) The line graphed on the grid represents the first of two equations in a system of linear equations.
20
-16
12
-8
-20 -16 -12
-
-4
48
12
16 2024
-8
-12
16
If the graph of the second equation in the system passes through (-12, 20) and (4,12), which statement is true?
Guillermo ha acertado en un examen de matemáticas 8 problemas lo que supone un 72% del examen ¿ de cuántos problemas constaba el examen?
nose si entendí bien el problema pero espero poder ayudar
Step-by-step explanation:
8 es igual a 100%, por lo que podemos guardarlo como 8 = 100% El valor que buscamos puede llamarse x Ahora sabemos que xes 72 del valor de salida, por lo que podemos escribirlo como x = 72. Así que tenemos dos ecuaciones simples: 1) 8=100% 2) = 72%Cuando comparamos estas dos ecuaciones, obtenemos: 8 / x = (100%) / (72%)Ahora solo tenemos que resolver la ecuación simple. Nosotros calculamos 72 por ciento de 8: 8 / x = 100/72(8 / x) * x = (100/72) * x8 = 1,3888888888889 * X8 / 1.3888888888889 = X5.76 = xx = 5,76
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.
To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?
14%
17%
55%
67%
Answer: 14%
Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.
- Lizzy ˚ʚ♡ɞ˚
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
for such more question on deviation
https://brainly.com/question/475676
#SPJ8
Which expression is equivalent to (6 – 3x) + 9x ? 1 A. 8x + 2 B. 8x + 3 C. 10x-2 D. 10x - 6
Given to solve the expression:
\(\frac{1}{3}(6-3x)+9x\)step 1: Expand the bracket by multiplying each term by the factor outside
\(\begin{gathered} (\frac{1}{3}\times6)-(\frac{1}{3}\times3x)+9x \\ 2-x+9x \end{gathered}\)step 2: Simplify the expression obtained in step 1
\(\begin{gathered} 2-x+9x\text{ } \\ =2+8x \\ =8x+2 \\ \\ \text{The answer is \lbrack{}Option }A\rbrack \end{gathered}\)Melissa wants to rent a boat and spend at most $38. The boat costs $6 per hour, and Melissa has a discount coupon for $4 off. What are the possible numbers of hours Melissa could rent the boat?Use t for the number of hours.Write your answer as an inequality solved for t.
ANSWER:
\(t\leq7\)EXPLANATION:
Given:
Melissa wants to rent a boat and spend at most $38
Cost of boat per hour = $6
Discount coupon off = $4
Let t represent the number of hours
We can go ahead and set up the below inequality;
\(6t-4\leq38\)Let's add 4 to both sides of the inequality;
\(\begin{gathered} 6t-4+4\leq38+4 \\ 6t\leq42 \end{gathered}\)Let's divide both sides by 6;
\(\begin{gathered} \frac{6t}{6}\leq\frac{42}{6} \\ t\leq6 \end{gathered}\)So Melissa can rent the boat for up to 7 hours
3,-30,300,-3000 is it geometric or not geometric if so whats the common ratio r=?
Step-by-step explanation:
everything can be found in the picture
What is sin30? What is cos30? What is tan60?
Answers:
\(\sin(30^{\circ}) = \frac{1}{2}\\\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\\\\tan(60^{\circ}) = \sqrt{3}\\\\\)
=======================================================
Work Shown:
Problem 1
\(\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(30^{\circ}) = \frac{7}{14}\\\\\sin(30^{\circ}) = \frac{1}{2}\\\\\)
-------------------------
Problem 2
\(\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(30^{\circ}) = \frac{7\sqrt{3}}{14}\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\\)
------------------------
Problem 3
\(\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{7\sqrt{3}}{7}\\\\\tan(60^{\circ}) = \sqrt{3}\\\\\)
I NEED HELPP Solve for PMR please
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
learn more on angles here:https://brainly.com/question/25779160
#SPJ1
Help , please ?? If you can thank you ..4 more
\(14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51\)
can someone please help with part III?? don’t use my work it’s prob wrong lol :)
Answer: formula
AB= (-1- -3)+((3-1)
(-1+3 )^2+(3-1)^2
2^2+2^2
Sq rt of 8 is 2.83
length of AB is 2
BC= (-3- -1)^2 + (5-3)^2
-3+1 =-2^2+2^2=4+4=8
Sq rt of 8 is 2.828= 2.83
Step-by-step explanation:
can someone help me on number 4
Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
An investment firm invested in two companies last year. They invested $20,000 in Company A and made a profit of 16%. They invested $12,000 in Company B
and made a profit of 14%.
Answer the questions below. Do not do any rounding.
(a) What was the investment firm's total profit?
(b) What was the percent profit for their total investment?
0%
Answer:
See below
Step-by-step explanation:
Profit A 20 000 * .16 = 3200
Profit B 12 000 * .14 = 1680
total profit = 4880 for investing 32000
4880 / 32000 = 15.25%
I need help with this question please with details
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
#SPJ1
Leila runs 9 miles in 72 minutes. How many minutes does she take per mile?
Answer:
8 minutes/1 mile
Step-by-step explanation:
72/9=8 9/9=1
Answer:
12 mins per mile
0.0833 miles per minute
5 miles per hour
The answer u need is 12 mins per mile tho
:)