Find the value of x.
31.5
68.3
26.7
11.
Answer:
26.7
Step-by-step explanation:
Using trigonometric ratio, we find:[tex]\sin 67\degree= \frac{x}{29}[/tex][tex]\implies x = 29\sin 67\degree[/tex][tex]\implies x =26.69464075[/tex][tex]\implies x \approx 26.7[/tex]which company would cost the most to serve 300 students
Answer:
Company "A"
Step-by-step explanation:
its the highest line on the graph from the 300 point.
A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation that can be used to find the original price.
Answer:
p - 14.5 = 53
Step-by-step explanation:
The original price is p.
The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.
The discounted price is $53
Equation:
p - 14.5 = 53
3.3 Factorise fully: 3.3.1 x²-x-6
Answer:
(x-3)(x+2)
Step-by-step explanation:
¹ you open brackets.
² you put the "x" in both brackets
³ you then check for factors, that will give you a "6" when you multiply them and give you the "x" when you add or subtract them.
Write an equation for a line parallel to the line y=1/3x - 4 through (-3, 2)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 1/3 and passes through (-3 , 2)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-2=\cfrac{1}{3}(x+3)\implies y-2=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+3[/tex]
Need help please answer ASAP!
Answer:
46. (3) 29
47. (1) y = -4x + 3
48. (3) 3
49. (3) -1/2
50. (4) 25x - 75
Step-by-step explanation:
Question 46
Let red marbles be 2x + 3 and black marbles be x2x + 3 + x = 423x = 39x = 13No. of red = 2(13) + 3 = 29 marbles(3) 29Question 47
Parallel to a line means the slope is the same (1) y = -4x + 3Question 48
For the expression to be undefined, the denominator has to be 0x - 3 = 0x = 3(3) 3Question 49
Slope = -4 - 1 / 4 + 6Slope = -5/10Slope = -1/2(3) -1/2Question 50
Total = 25xLeft 3 boxes at home = -3x = -3(25) = -75(4) 25x - 75Beth took out a loan at an annual compound interest rate of 30%.After 2 years she owes a total of £8112.What was the original amount that Beth Borrowed.Give your answer to the nearest £1
now, we don't have a compounding period above, so we're assuming the amount is compounding annually.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 8112\\ P=\textit{original amount deposited}\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.30\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]
[tex]8112=P\left(1+\frac{0.30}{1}\right)^{1\cdot 2}\implies 8112=P(1.3)^2\implies \cfrac{8112}{1.3^2}=P\implies 4800=P[/tex]
Enter an equation for which the solution is the speed of the train, in miles per hour, where the train's distance from the departing station is 162 miles and it has traveled for 3 hours. what is the equation for the speed of the train?
Answer:
Step-by-step explanation:
Formula
speed = distance / time
Givens
speed = ?
distance = 162 miles.
Time = 3 hours.
Solution
speed = 162 / 3
speed = 54 miles per hour.
X/3 + 1 = ×/8 + 1/11
solve the question please pls
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the following expression can be solved as follows ~
[tex] \frac{x}{3} + 1 = \frac{x}{8} + \frac{1}{11} \\ [/tex]
Taking LCM on both the sides ,
[tex] \frac{x + 3}{3} = \frac{11x + 8}{88} \\ [/tex]
On cross multiplying ,
[tex]( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24[/tex]
let's now gather the like terms at either sides of the equation and solve ~
[tex]88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel\frac{ - 240}{55} \\ [/tex]
on further simplifying ,
[tex]\implies x = \frac{ - 48 }{ 11} \\ [/tex]
hope helpful ~
Find the nth term of this number sequence 2, 4, 6, 8, ...
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given sequence is in Arithmetic progression, and we have to find its nth term ~
So, let's get it solved ~
First term of the sequence is :
a = 2Common difference is :
d = 6 - 4 = 4 - 2 = 2Now, if we have to write the 2nd Term with respect to first one, we can write :
2nd Term = a + (2 - 1)d = a + d = 2 + 2 = 4similarly ~
3rd Term = a + (3 - 1)d = a + 2d = 2 + 4 = 64th Term = a + (4 - 1)d = a + 3d = 2 + 6 = 8Therefore, I similar pattern ~
[tex] \qquad \sf \dashrightarrow \: nth \: term = a + (n - 1)d[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2 + (n - 1)2[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2(1 + (n - 1))[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2(1 + n - 1)[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2 n [/tex]
Feel free to ask your doubts, if you have any ~
Answer:
2nStep-by-step explanation:
from the number sequence above, each term except the first is generated by adding 2 to the term immediately preceding it.
the nth term of the sequence is usually designated Tn, and it's usually a function of n
from the number sequence
T1= 2
T2 = 2+2= 4
T3= 4+2= 6
T4= 6+2= 8
therefore, Tn= 2+2×(n-1)
= 2+2n-2
=2-2+2n= 2n
therefore, the nth term of the number sequence= 2nBased on the information in the two-way table, what is the probability that a person selected at random is Ages 16-18 and has prepared a meal for their family? Round your answer to the nearest tenth of a percent.
The probability that a person selected at random is Ages 16-18 and has prepared a meal for their family
How to determine the experimental probability?From the table of values, we have:
Age 16 - 18 that has performed meal = 8
Total = 30
The probability is then calculated using:
P(16 - 18) = n(16 - 18)/Total
This gives
P(16 - 18) = 8/30
Simplify
P(16 - 18) = 4/15
Hence, the probability is 4/15
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Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.
What is the average rate of change?Finding out how much something changes over time is what the average rate of change is all about.
We have Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero.
As we know that the average rate of change can be calculated using:
= (Last quantity - starting quantity)/Time interval
The average rate of change, on the other hand, does not account for intermediate values, therefore you can't draw any conclusions about them.
In the given problem:
The average rate of change in depth = (Last quantity - starting quantity)/2
0= (Last quantity - starting quantity)
Final depth = Initial depth
Thus, the pool must have been the same depth at the start of the interval as it was at the end of the interval, option second is correct.
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Find the zeros of the function. State the multiplicity of multiple zeros.
y = 12x³ - 12x
Answer: the zeros are the xintercepts which are shown on the graph
Step-by-step explanation:
12 is 48 percent of what number?
Answer:
25
Step-by-step explanation:
12 x 100 = 1200
1200 / 48 = 25
Two angles that form a right angle are supplementary is true or false?
Belle runs 16 times around a track that measures 1/4 mile long.
What fraction shows the distance that Belle runs?
How many whole miles does Belle run?
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
35.9 degrees
Step-by-step explanation:
the arctan of 0.724 is 35.9 degrees
HELP <3333333333333333333333333333333333333333
Answer:
$30
Step-by-step explanation:
since 7 = 28
and 1 = 4
divide 1 in half to find the half hour amount
1/2 hr = 2
28 + 2 = 30
your answer is $30
hope this helps:)
160% of a number is 0.84. find the number.
Answer:
0.525 is the number.
X = Y/P%
X = 0.84/160%
p = 160%/100 = 1.6
X = 0.84/1.6
X = 0.525
A person's salary is $2000 per month. 20% of this is spent on their rent, $590 is
spent on food and $650 on other expenses. DETERMINE the percentage of their salary
has he spent in total.
Answer:
the person earned one summer = $3,600
We have to show the amount in fraction that Paula spent during the following semester,
they spent for tuition = $2,500 = × 100
=0.6944 × 100
= 69.44%
they spent for rent = $650 = × 100
= 0.1806 × 100
= 18.06%
they spent for food = $430 = × 100
=0.1194 × 100
= 11.94%
they Spent in tuition, rent and food = 2,500 + 650 + 430 = $3580
Now they spent in miscellaneous expenses = 3600 - 3580 = $20.00 × 100
= 0.056 × 100
= 0.56%
100 POINTS I WILL MARK BRAINLIST
Solve this equation using the method of completing the square:
3x^2 + 24x - 24 = 0
Potential answers:
x = -2 +/- 4sqrt6
x = 4 +/- 2sqrt6
x = 2 +/- 4sqrt6
x = -4 +/- 2sqrt6
Answer:
[tex]\boxed{\sf x = -4 \pm 2\sqrt{6} }[/tex]
Explanation:
3x² + 24x - 24 = 0
factor the coefficient
3(x² + 8x) -24 = 0
Halve the second term and square it
3(x + 4)² -24 -3(4)² = 0
simplify the answer
3(x + 4)² -72 = 0
add 72 on both sides
3(x + 4)² = 72
divide both sides by 3
(x + 4)² = 24
square root both sides
x + 4 = ±√24
subtract both sides by 4
x = -4 ± 2√6
Answer:
[tex]x=-4\pm2\sqrt{6}[/tex]
Step-by-step explanation:
Completing the square for quadratic in the form [tex]ax^2+bx+c=0[/tex]
Given equation:
[tex]3x^2+24x-24=0[/tex]
Factor out 3:
[tex]\implies 3(x^2+8x-8)=0[/tex]
Divide both sides by 3:
[tex]\implies x^2+8x-8=0[/tex]
Add 8 to both sides:
[tex]\implies x^2+8x=8[/tex]
[tex]\textsf{Add }\: \left(\dfrac{b}{2}\right)^2\: \textsf{ to both sides}:[/tex]
[tex]\implies x^2+8x+\left(\dfrac{8}{2}\right)^2=8+\left(\dfrac{8}{2}\right)^2[/tex]
[tex]\implies x^2+8x+16=8+16[/tex]
[tex]\implies x^2+8x+16=24[/tex]
Factor the left side:
[tex]\implies (x+4)^2=24[/tex]
Square root both sides:
[tex]\implies x+4=\pm2\sqrt{6}[/tex]
Subtract 4 from both sides:
[tex]\implies x=-4\pm2\sqrt{6}[/tex]
3x^2 + 14x +8 find magic x
x = -2/3 or -4
see the attachment for solution
hope it helps...!!!
Select all the correct answers.
Nick wants to know the height of the students in seventh grade. He randomly notes the heights of 5 students from each seventh-grade class. The mean and median heights of the students are 55 inches and 46 inches, respectively. Which predictions match Nick's data?
1About one-half of the students are more than 55 inches tall.
2On average, the students are 46 inches tall.
3On average, the students are 55 inches tall.
4About one-half of the students are more than 46 inches tall.
(there is more than one answer)
Answer:
Below in bold.
Step-by-step explanation:
The mean is 55 therefore, by definition:
On average the students are 55 inches tall.
The median is the middle ( or the average of 2 middle) value when the data is arranged in order.
So as the media is 46 inches about half are more than 46 ins tall.
Look at ivan’s check register. ivan spent $158.29 on groceries. he then transferred $250 to his savings account. a check register. a is the amount debited for groceries. d is the amount debited for a transfer. the letter represents where the amount of $158.29 should be written. the letter represents where the amount of $250 should be written.
The letter A represents where the amount of $158.29 should be written.
The letter D represents where the amount of $250 should be written.
What is a Cash Register?This refers to the automated machine that is used to handle cash transactions and also for making calculations.
Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.
However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.
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Answer:
A and D
Edge 2022
Can i get some help ?
Answer:
Right Angle.
Step-by-step explanation:
A right angle (90°; /2 radians) exists between a tangent to a circle and the radius across the point of contact. To put it another way, the tangent and radius are perpendicular to one another.
Answer:
I would day right angle. It sounds like the best answer
Step-by-step explanation:
what is the rate change of the table?
The rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
From the data given in the table, we can find the rate of change per month:
To find the rate of change:
= change in y/ change in x
= (138-84)/(4-2)
= 54/2
= 27 per month
Thus, the rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
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An ice cream shop has a make-your-own sundae bar. If there are 20 different flavors of ice cream to choose from, 5 different toppings to choose from, and 3 different sizes, how many different sundaes are possible
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
To find the total number of different sundaes possible, we need to multiply the number of choices for each category: ice cream flavors, toppings, and sizes.
Number of ice cream flavors = 20
Number of toppings = 5
Number of sizes = 3
Total number of sundaes = Number of ice cream flavors × Number of toppings × Number of sizes
Total number of sundaes = 20 × 5 × 3
Total number of sundaes = 300
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
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the length of a rectangle is a inches. the width is 3 inches longer then the length. What is the area and the perimeter of the rectangle
Step-by-step explanation:
here's the answer.......
Help me find the answer please. Thank you!
Answer:
Here is the ans...hope it helps
can someone do this for me please?! Just the answer pls
Answer:
Question 1: ∠V = 40° and MD = 17.62 and VD = 27.41 (work below)
Question 2: b. 60
Question 3: b. sinC
Step-by-step explanation: