x/3 - 15 = -7 solve for x
Answer:
[tex]x=24[/tex]
Step-by-step explanation:
[tex]\frac{x}{3}-15=-7[/tex]
Add 15 to both sides:
[tex]\frac{x}{3}-15+15=-7+15[/tex]
[tex]\frac{x}{3} =8[/tex]
Multiply both sides by 3:
[tex]\frac{3x}{3}=8\times3[/tex]
[tex]x=24[/tex]
If Ben invests $3000 at 4% interest per year, how much additional money must he invest at 5.5 % annual interest to ensure that the interest he receives each year is 4.5 % of the total amount invested?
Answer:
$1500
Step-by-step explanation:
Investment 1 = $3000Interest 1 = 4%Investment 2 = xInterest 2 = 5.5%Total interest = 4.5%Total interest:
3000*0.04 + x*0.055 = (3000+ x)*0.045 ⇒ multiply by 100 both sides3000*4 + 5.5x = 3000*4.5 + 4.5x ⇒ parenthesis5.5x - 4.5x = 3000(4.5-4) ⇒ collect like termsx = 3000*0.5 ⇒ simplifyx = 1500 ⇒ answerAdditional money is $1500
Approximtely how many 27cubic volume cabinets will a container98,000cbic volume hold?
Answer: 3630
Step-by-step explanation:
Given that:
Volume of container = 98,000 cubic volume
Volume of cabinet = 27 cubic volume
The number of cabinets which the container will. Hold equals:
Volume of container / volume of cabinet
= 98000 cubic volume / 27 cubic volume
= 3629.6296
The container will hold approximately 3630 27 cubic volume of cabinet.
10 [12 2+ (4 x 2)] ÷ 8 2
Urgent Fast!!!!!!!??????
If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.
The area of a square = (side)^2
In this problem,
Area = 484
side = # of rows
Let's plug our values into the formula above
484 plants = (side)^2
Take the sqrt of both sides.
22 rows = side.
Answer:
This is the answer..........
The length of a rectangle is 5 centimeters longer than twice its width. If the perimeter of the rectangle is 88 centimeters, what is the width?
Answer:
The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?
width=x
length=2x+5
perimeter=88=2L+2W
so half perimeter=44=L+W
x+2x+5=44
3x=39
x=13 cm width ANSWER
2x+5=31 cm length
The width of the rectangle is Width, W = 13 centimeters.
Let the length of the rectangle be L. Let the width of the rectangle be W.Given the following data:
Perimeter of rectangle = 88 centimetersTranslating the word problem into an algebraic equation, we have;
[tex]L = 2W + 5[/tex]
To find the width of the rectangle;
Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P = 2(L + W)[/tex]
Substituting the values into the formula, we have;
[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]
Width, W = 13 centimeters.
Therefore, the width of the rectangle is Width, W = 13 centimeters.
Find more information: brainly.com/question/897975
State the domain and range and determine if its a function?
Find the slope of the line passing through the points (8, 3) and (9, 7)
Answer:
4
Step-by-step explanation:
Since we have 2 points, we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(9-8)
= 4/1
= 4
(8, 3) and (9, 7)
To Find:The slope of the line passing through the points (8, 3) and (9, 7).
Slope Formula:y2 - y1 / x2 - x1
Solution:7 - 3 / 9 - 8
= 4 / 1
= 4
Answer:4
I will give brainliest answer
Answer:
(-2,-1)
Step-by-step explanation:
Right now, P is at (3,-4). After the translation, it would be at
(-2,-1)
How would you do this question?
Answer:
1) ∫ x² e^(x) dx
4) ∫ x cos(x) dx
Step-by-step explanation:
To solve this problem, eliminate the choices that can be solved by substitution.
In the second problem, we can say u = x², and du = 2x dx.
∫ x cos(x²) dx = ∫ ½ cos(u) du
In the third problem, we can say u = x², and du = 2x dx.
∫ x e^(x²) dx = ∫ ½ e^(u) du
How do you do both questions?
1. We have all the information we need here to set up our 'least-squares regression equation.'
Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:
b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...
Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:
a = y - bx = 70 - 0.12363(260) = 37.8562
The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!
2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.
4 customers entered a store over the course of 6 minutes. At what rate were the
customers entering the store in customers per minute?
50 seconds per minute
The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
4 customers entered a store over the course of 6 minutes,
Calculate the rate of entering customers per minute as shown below,
The rate of entering customers per minute = total number of customer / total time
The rate of entering customers per minute = 4 / 6
The rate of entering customers per minute = 2 / 3
Thus, the rate of entering is 2 / 3.
To know more about division:
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PLEASE HELP PLEASE PLEASE
Answer:
The second one is d. 13
Step-by-step explanation:
Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.
A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?
Answer:
$4.95
Step-by-step explanation:
If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.
Help me ASAP plssssssssss
Answer:
Community Parks
Step-by-step explanation:
Answer:
D
Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)
What is 300 million divided by 1 thousand?
Answer:
the answer is three hundred thousand
SD and SG are tangent to ⊙ K. Identify SG. HELP!!
Answer:
63
Step-by-step explanation:
Tangents drawn from external point to a circle are congruent.
Therefore,
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]
Answer: 63
Tangents drawn from external point to a circle are congruent.
SG = SD
8x - 9 = 5x + 18
8x - 5x = 9 + 18
3x = 27
Step-by-step explanation: 63
The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?
Answer:
149.5 pages excluding the back parts
150.8 pages including the back parts
Step-by-step explanation:
Total pages in Math 123 book = 230 pages
You aim to complete 65% of all the pages, how many should you finish
65 % of 230 pages
= 65 / 100 × 230 pages
= 0.65 × 230 pages
= 149.5 pages excluding the bark parts of the book
If you include the back parts, that is, the beginning and ending page
You have a total of 230 pages + 2 pages
= 232 pages
65 % of 232 pages
= 65 / 100 × 232 pages
= 0.65 × 232 pages
= 150.8 pages including the back parts
Express the ratio BC/EF in simplest form
Answer:
bc/ef =48/32
divide by 16 you will get
3/2
Step-by-step explanation:
2
If A=
4 3
find A1 using
elementary row operations.
Answer: [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]
[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]
[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]
[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
I am genuinely so confused please help
Answer:
I hope it will help you :)
2. Graph the inequality.
y<- 3x-2
Answer:
(2,-8) (0,-2)
Step-by-step explanation:
Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in years since the start of 2000,
(1) --33428001 - 1,000 thousand barrels per day (9 st s 13)
According to the model, approximately when were oil imports to the country greatest? HINT (See Example 1) (Round your answer to two decimal places.)
How many barrels per day were imported at that time? (Round your answer to two significant digits.)
thousand barrels
Answer:
Time = approximately mid 2012Oil import rate = 3600 barrelsStep-by-step explanation:
Unclear part of the questionI(t) = −35t² + 800t − 1,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest? t = ? SolutionGiven the quadratic function
The vertex of a quadratic function is found by a formula: x = -b/2aAs per given function:
b = 800, a = -35Then
t = - 800/2*(-35) = 11.43 which is within given range of 9 ≤ t ≤ 13This time is approximately mid 2012.
Considering this in the function, to get oil import rate for the same time:
l(11.43) = -35*(11.43)² + 800*11.43 - 1000 = 3571.4285Rounded to two significant figures, the greatest oil import rate was:
3600 barrelsASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club. 3 22 9 19 12 3 9 13 12 17 7 3 7 17 14 a. Compute the values of the three quartiles and the interquartile range. Q1 = Q2 = Q3 = IQR = b. Calculate the approximate value of the 82nd percentile. Enter an exact value: c. Find the percentile rank of 14. Round your answer to the nearest integer: %
Answer:
First arrange the data in an order
3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21
a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7
Q2 = 2(16)/4 = 16/2 = 8th item = 12
Q3 = 3(16)/4 = 3(4) = 12th item = 17
IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5
b.) 82nd percentile = 82(16)/100 = 13th item = 17
c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%
Step-by-step explanation:
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).
Answer:
Step-by-step explanation:
(15 -5)/(8 - 3)= 10/5 = 2
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
What’s is ittttt I neeed helppp
Answer:
n = 14
Step-by-step explanation:
n+4/-2 = -9
n+4 = 18
n = 14
Answer:
n=14
Step-by-step explanation:
n+4/-2 = -9
n+4 = 18
Hope it helps :3
I need help and can u explain how to do it please and thank u
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]
π[tex]6^{2}=113.0973355[/tex]✦ Round:
[tex]113.0973355=113.1[/tex]So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Answer:
yes ion think u need my help
Step-by-step explanation:
PLEASE HELP!! BEST ANSWER WILL BE MARKED BRAINIEST! The stadium is at (-2,3) and the high schools (1,8). What is the shortest driving distance (in blocks) between these two locations? Can you figure this out without looking a the grid
Answer:
Shortest distance is 5 blocks.
Answer:
5.8
Step-by-step explanation:
I'm not 100% on this as the decimal in the answer makes me doubt myself. Here's the explanation anyways
A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit
Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583
Step-by-step explanation:
Given the following :
Total number of coin tosses = 60
Total number of times coin landed on head = 35
Proportion of head landings obtained :
Total number of head landings obtained / total number of coin tosses
Proportion of head landing obtained :
= 35 / 60 = 7 / 12 = 0.5833
[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]
If k>0 and x=7 in the equation, what is the value of k?
Answer:
[tex]k=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\sqrt{2k^2+17}-x=0[/tex]
Where:
[tex]k>0\text{ and } x=7[/tex]
And we want to find k.
Firstly, let's substitute 7 for x. So:
[tex]\sqrt{2k^2+17}-7=0[/tex]
Now, we can solve for k. Add 7 to both sides:
[tex]\sqrt{2k^2+17}=7[/tex]
Square both sides:
[tex]2k^2+17=49[/tex]
Subtract 17 from both sides:
[tex]2k^2=32[/tex]
Divide both sides by 2:
[tex]k^2=16[/tex]
Take the square root of both sides:
[tex]k=\pm\sqrt{16}[/tex]
Evaluate:
[tex]k=\pm 4[/tex]
Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:
[tex]k=4[/tex]
So, the value of k is 4.
And we're done!