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Hi my lil bunny!
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Let's solve your equation step-by-step.
[tex]2x-3x+5=18[/tex]
Step 1: Simplify both sides of the equation.
[tex]2x-3x+5=18\\2x + -3x + 5 = 18[/tex]
[tex]( 2x + -3x ) + ( 5) = 18[/tex] (Combine Like Terms)
[tex]-x + 5 = 18\\-x + 5 = 18[/tex]
Step 2: Subtract 5 from both sides.
[tex]-x + 5 - 5 = 18 - 5 \\-x = 13[/tex]
Step 3: Divide both sides by -1.
[tex]\frac{-x}{-1} = \frac{13}{-1} \\x = -13[/tex]
Answer : [tex]\boxed {x = -13}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
[tex] \boxed{ \bold{ \mathsf{ \purple{x = - 13}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{2x - 3x + 5 = 18}[/tex]
Collect like terms
[tex] \mathsf{ - x + 5 = 18}[/tex]
Move constant to R.H.S and change it's sign
[tex] \mathsf{ - x = 18 - 5} [/tex]
Calculate the difference
[tex] - x = 13[/tex]
Change the signs on both sides of the equation
[tex] \mathsf{x = - 13}[/tex]
---------------------------------------------------------------
[tex] \blue{ \mathsf{verification}}[/tex]
[tex] \mathsf{LHS \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: RHS}[/tex]
[tex] \mathsf{2x - 3x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18}[/tex]
[tex] \mathsf{ = 2 \times ( - 13) - 3 \times ( - 13) + 5}[/tex]
[tex] \mathsf{ - 26 + 39 + 5}[/tex]
[tex] \mathsf{ = 13 + 5}[/tex]
[tex] = 18[/tex]
Thus, LHS = RHS
hope I helped!
Best regards!
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy?
Answer:
They purchased 14 adult tickets and 4 kids tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars.
The number of adults tickets that were sold for the movie will be 14 tickets.
The equation to solve the question will be:
a + s = 18 .......... i
5a + 3s = 82 ......... ii
Form equation i, s = 18 - a
5a + 3s = 82
5a + 3(18 - a) = 82
5a + 54 - 3a = 82
Collect like terms
5a - 3a = 82 - 54
2a = 28.
a = 28/2
a = 14
Therefore, s will be:
s = 18 - a = 18 - 14 = 4
The number of adults ticket is 14
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BRAINLIEST!! The equation of the line is Y=2.x- 1.8. Based on the graph which of the following are true?
(select all that apply)
A. If tony stays for 30 minutes in the record store it is likely her will spend $70
B. Each additional minute tony spends in the store is associated with an additional cost of $2.40
C. The correlation coefficient for the line of best fits 2.4
D. The line of best fit will have a positive correlation coefficient.
Answer:
b y=2.4x -1.8
Step-by-step explanation:
the equation y=2.4x -1.8 represents 2.4 from it
the school bought a sandbox that measures 50 meters long 25 meters wide and 5 meters tall how many cubic meters if sand would you need to buy if each cubic meter of sand cost $1.50 how much money would it cost to fill the sandbox
Answer:
Cost of sandbox = $9,375
Step-by-step explanation:
Given:
Height of sandbox = 5 m
Length of sandbox = 50 m
Width of sandbox = 25 m
Cost of 1 cubic meter = $1.50
Find:
Cost of sandbox
Computation:
Volume of sandbox = (50)(25)(5)
Volume of sandbox = 6,250 m³
Cost of sandbox = 6,250 × $1.50
Cost of sandbox = $9,375
Match each expression with its greatest common factor. 4a + 8 2a2 + 8a 12a2 − 8a 4 − 6a Greatest Common Factor Expression 4 : 2 : 2a : 4a :
Answer:
see explanation
Step-by-step explanation:
4a + 8 4
2a² + 8a 2a
12a² - 8a 4a
4 - 6a 2
Match each expression with its greatest common factor as follows;
4a + 8 4
2a² + 8a 2a
12a² - 8a 4a
4 - 6a 2
What is the greatest common factor?The largest number that is found in the common factors is called the greatest common factor.
The given expression are;
4a + 8
2a² + 8a
12a² - 8a
4 - 6a
The greatest common factor of the expression are as follows;
4a + 8 = 4(a+2) = common factor = 4
2a² + 8a = 2a(a+4a) = common factor = 2a
12a² - 8a = 4a(3a-2) = common factor = 4a
4 - 6a = 2(2-3a) = common factor = 2
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What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point (-3,1)
Answer:
see explanation
Step-by-step explanation:
The minimum is at the vertex (- 3, 1 ), that is y = 1
Since the graph is a minimum then it opens vertically up U
The range of the values of y are therefore
range [ 1, ∞ )
Answer:
Graph would be nice.
Step-by-step explanation:
Solve for x help please
Answer:
A. 5
Step-by-step explanation:
Based on the secant and tangent theorem, (4 + x)*4 = 6²
We can solve for x using the equation which describes the relationship between secant and tangents.
Thus,
[tex] (4 + x)*4 = 6^2 [/tex]
[tex] 4*4 + x*4 = 36 [/tex]
[tex] 16 + 4x = 36 [/tex]
Subtract 16 from both sides
[tex] 4x = 36 - 16 [/tex]
[tex] 4x = 20 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{20}{4} [/tex]
[tex] x = 5 [/tex]
Compute the range and interquartile range for the data collected for boys and girls. Describe their differences in detail using specific terms of spread. (4 points)
Answer:
The measure of central tendency, mean and median are approximately equal for the boys indicating that the data of the boys is more evenly spread while standard deviation of the girls data is less than those of the boys indicating that the data for the girls is less widely spread.
Step-by-step explanation:
The given data are;
, 1 2 3 4 5 6 7 8 9 10
Girls, 50 32 15 56 81 50 18 81 22 55
Boys, 75 41 25 22 7 0 43 12 45 70
Sorting the data gives;
Girls, 15, 18, 22, 32, 50, 50, 55, 56, 81, 81
Boys, 0, 7, 12, 22, 25, 41, 43, 45, 70, 75
For the even numbered sample data size, the first quartile, Q₁ is found by sharing the data into two and finding the median of the left half which gives;
10/2 = 5 on each half
The first quartile, Q₁, is the median of the left 5 data points which is the 3rd data point = 22 for girls and 12 for boys
The third quartile, Q₃, is found in similar method to be the 8th data point which is 56 for girls and 45 for boys
The median = 50 for girls and 33 for boys
Therefore, the interquartile ranges are;
IQR = 56 - 22 = 34 for girls, 45 - 12 = 33 for boys
We check for outliers.
Q₁ - 1.5×IQR = 22 - 1.5*34 = -29
Q₃ + 1.5×IQR = 56 + 1.5*34 = 107
We check the mean of both data samples as follows;
Average for the girls = 46
Average for the boys = 34
Standard deviation for girls = 23.99
Standard deviation for girls = 25.43
Therefore, the measure of central tendency is more accurate for the boys indicating that the data of the boys is more evenly spread while the data for the girls is less widely spread.
it’s either A or B but idk, i’ll give brainliest :)
Answer:
Actually it's A.
Step-by-step explanation:
Michelle's last electric bill listed a previous reading of 17.934 kWh. This month, the electric meter reading is
18,796 kWh. If the electric company charges $0.09 per kWh, what is the charge for usage?
Answer:
charge = 18796 * 0.09$
=1691.64$
Step-by-step explanation:
Answer:
18796 * 0.09$
=1691.64$
Step-by-step explanation:
15 x = -27 + 6x cuál es la respuesta de la ecuación, ¿me ayudan? gracias!
Answer:
x = -3
Step-by-step explanation:
If the equation is correctly written as 15·x = -27 + 6·x
Then we have;
15·x = -27 + 6·x
We subtract 6·x from both sides to have all the variables (x) on one side as follows;
15·x - 6·x= -27 + 6·x - 6·x
Which gives;
x·(15 - 6) = -27 + x·(6 - 6)
We note that 6 - 6 = 0, therefore, we have;
x × 9 = -27 + x × 0
We not that x × 0 = 0, therefore;
x × 9 = -27
We now divide both sides with the 9 to get the value of x alone as follows;
x×9/9 = -27/9
Which gives;
x = -27/9 = -3
x = -3
4) 101
Is it rational or irrational
Answer:
rational
Step-by-step explanation:
according to google the definition of RATIONAL is
(of a number, quantity, or expression) expressible, or containing quantities that are expressible, as a ratio of whole numbers. When expressed as a decimal, a rational number has a finite or recurring expansion. Examples of rational numbers are 4 3 and 9
AND THE DEFINITION OF IRRATIONAL IS
(of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.
so 101 is a whole number and whole numbers are always rational
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
A car traveled 420 miles in 7 hours how many miles did it travel per hour?
Answer:
60 Mile per hour
Step-by-step explanation:
Hello!
To find how far something travel in a span of time we divide the distance traveled by the time it took to travel that far
420/7 = 60
The Answer is 60mph
Hope this Helps!
Answer: 60 miles per hour
Step-by-step explanation:
420 miles / 7 hours
URGENT! What is the period for the cotangent function? (Answer in radians.)
it is [tex]\pi[/tex]
since period of tangent is $\pi$ ,so the period of reciprocal will also be same
The period for the cotangent function is π radians.
How do I find the period of a function?
The period for function y = A sin(Bx + C) and y = A cos(Bx + C) is 2π/|B| radians. Frequency is described as the wide variety of cycles completed in one 2d. If the duration of a function is denoted via P and f is its frequency, then –f =1/ P.
What is the period of tangent and cotangent?The tangent function has period π. f(x)=Atan(Bx−C)+D is a tangent with vertical and/or horizontal stretch/compression and shift. The cotangent function has period π and vertical asymptotes at 0,±π,±2π, The range of cotangent is (−∞,∞), and the function is decreasing at each point in its range.
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Which of the c-values satisfy the following inequality? 2>c/3
Answer:
[tex]\Large \boxed{{c<6}}[/tex]
Step-by-step explanation:
2>c/3
Multiply both sides of the inequality by 3.
2(3)>c/3(3)
6>c
Switch sides.
c<6
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Hi my lil bunny!
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Let's solve your inequality step-by-step.
[tex]2 > \frac{c}{3}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]2 > \frac{1}{3}c[/tex]
Step 2: Flip the equation.
[tex]\frac{1}{3}c < 2[/tex]
Step 3: Multiply both sides by 3.
[tex]3 * (\frac{1}{3} c) < ( 3) * (2)\\c < 6[/tex]
Answer : [tex]\boxed {c < 6}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Plz help me this is probably easy but im just not seeing it plz help me ASAP
Answer: is attatched to the photo I sent
Step-by-step explanation:
I admit, this is tricky, just remember to think about it as where the shapes are the most similar. I'm not exactly sure how to explain it, but where it reflects like a mirror is the "copy"
The example I'm thinking of attached too, but these over lap so its diffucult
-4(-w-10)=
i need help don’t know what the answer is
Answer:
[tex]\boxed{4w+40}[/tex]
Step-by-step explanation:
Use the distributive property to evaluate the equation.
-4(-w - 10)
4w + 40
-4 * -w = 4w because two negatives cancel to make a positive value.
-4 * -10 = 40 for the same reason.
Each day that a library book is kept past its due date a 30 dollar fee is charged at midnight which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee
THIS IS THE COMPLETE QUESTION BELOW;
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answers:
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer
(8, 2.40)
Step by step Explanation
✓We can denote the number of days library book is late = X,
✓We can denote the the total fee = Y.
We were told $0.30 fee is charged at midnight.
Then for lateness for just 1day,the charged fees= 1day ×
$0.30
For X number of days the charged fees= Xday ×$0.30
Therefore, total charge for lateness for X number of days late = Y.
Then can be expressed as
Y= 0.30 * X...............eqn(1)
We can now test the option one after the other
FIRST OPTION (-3, -0.9)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
SECOND OPTION (-2.5, -0.75)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
THIRD OPTION(4.5, 1.35)
here the number of days will definitely be a whole number not 4.5, it's either
charge for 4 days or 5 days.
FORTH OPTION (8, 2.40)
this should be correct because the number of days is whole number and not negative, then if we test it from our equation it satisfy the equation too
Y= 0.30 * X...............eqn(1)
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Therefore, (8, 2.40) is the answer
Probability ~
The probability of selecting a white chocolate from a box is 1/5 and the probability of selecting a dark chocolate from the same box is 1/3. The other chocolates are milk chocolates.
A. Find the probability of selecting a milk chocolate.
B. How many chocolates in total could be in the box? Give reasons. Is there more than one answer?
A.
A - selecting a milk chocolate
[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]
B.
The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.
A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in diameter. What is the area of the label that needs to be printed to go around the new container? Use π = 3.14.
Answer:
180.55 in².
Step-by-step explanation:
Data obtained from the question include the following:
Height (h) = 9 in.
Diameter (d) = 5 in
Pi (π) = 3.14
Area of the label =..?
Next, we shall determine the radius.
Diameter (d) = 5 in
Radius (r) =.. ?
Radius (r) = Diameter (d) /2
r = d/2
r = 5/2
r = 2.5 in.
Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.
This is illustrated below:
Height (h) = 9 in.
Pi (π) = 3.14
Radius (r) = 2.5 in.
Surface Area (SA) =.?
SA = 2πrh + 2πr²
SA = (2×3.14×2.5×9) + (2×3.14×2.5²)
SA = 141.3 + 39.25
SA = 180.55 in²
The surface area of the cylinder is 180.55 in².
Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².
Answer:
Step-by-step explanation:
i dont have the work but the answer is 182.6
A number rounded to the nearest hundred thousand is 400,00. The same number rounded to the nearest ten thousand is 350,000. What could be the number?
Answer:
the number could be between 350,000 and 354,999
Step-by-step explanation:
when calculating to the nearest hundred thousand
for instance, your number is in this format abc,def, the hundred thousand place is determined by "b".
So if the value of b is over 5, when approximating, 1 is added to a.
if the value of b is below 5, when approximating, 0 is added to a.
Therefore, 354,999 to the nearest hundred thousand is 400,000
when calculating to the nearest ten thousand
for instance, your number is in this format abc,def, the ten thousand place is determined by "c".
So if the value of c is over 5, when approximating, 1 is added to b.
if the value of c is below 5, when approximating, 0 is added to b.
Therefore, 354,999 to the nearest ten thousand is 350,000
interpret the parts of the expression 9x + 4y – 5. Rewrite the expression as a sum: _______________
Answer:
9x + 4y +(-5)
Step-by-step explanation:
Given
9x + 4y - 5
Required
Interpret
Write as a sum
The parts of an expression can be interpreted in the following ways; Terms, Variables, Constant, Coefficient, etc.
The terms are the expression being added together and they are 9x, 4y and -5
The variables are the represented with alphabets they change in values; the two variables in the given question are x and y
Constant are numbers standing alone; This is 5
Coefficient are numbers in front of variables; In this case, the coefficient are 9 and 4
Writing 9x + 4y - 5 as a sum
The -5 can be written as +(-5); So, we have
9x + 4y +(-5)
Simplify.
Remove all perfect squares from inside the square root.
V63 =
I need the answer ASAP can anyone help?
3*sqrt(7)
3 times the square root of 7
====================================================
Explanation:
I'm assuming the V stands for square root. You can write sqrt(63).
[tex]\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}[/tex]
The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
How does a globe represent the fact that there are no parallel lines in elliptical geometry? A. The equator is not parallel to any other latitudinal lines. B. The north and south poles are never connected by a geodesic. C. The geodesics connecting the Nortj and South poles never intersect. D. The geodesics connecting the north and south poles intersect at both of the poles.
Answer:
The correct option is;
D. The geodesics connecting the North as South poles intersect at both of the poles
Step-by-step explanation:
As an analog to the straight line, the geodesic of a curved surface is the shortest path between two points on the curved surface
Whereby the Earth is assumed to be spherical, the geodesics around the Earth would then be closed circles and like the longitude and latitude, will meet at the North and South poles
However given that the Earth is an Oblate ellipsoid, Euclid's parallel postulate is not in effect and the geodesics connecting the North and South Poles Intersect at both poles.
The answer is Option D, option D is correct.
SOMEONE PLZ HELP ASAP !!!!!!
Answer:
a = 53.13
b = 42.76
c= 0
Step-by-step explanation:
as the question said i was supposed to use a calculator which i did
Pluto is 2.7 times 10 to the power of 9 miles from the sun. Venus is 6.7 times 10 to the power of 7 miles from the sun. How mnay times greater is the distance of pluto to the sun than venus
Answer:here for the comments
Step-by-step explanation:
Answer:
The answer is 40.3 times greater
Step-by-step explanation:
Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How many units away is the farther person from Robert?
Answer: Liz, she is 5 units away from Robbert.
Step-by-step explanation:
Ok, the data that we have is:
Robert is at (4,3 )
Lucy is at (6, 1)
Liz is at (1, 7)
We want to find the units between Robert and the person that is farther away from him.
The distance between Robert and Lucy can be calculated as:
First we calculate the difference in the point or in the position vector:
(4, 3) - (6, 1) = (4 - 6, 3 - 1) = (-2, 2)
To calculate the exact distance, we need to calculate the magnitude of this point, this is:
For a point (x, y), the magnitude is M = √(x^2 + y^2)
Then we have:
D = √( (-2)^2 + 2^2) = √8
Now, the distance between Robert and Liz can be calculated in the same way:
(4, 3) - (1, 7) = (4 - 1, 3 - 7) = (3, -4)
The magnitude is:
D = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5
Now, we know that 5 > √8
Then the person that is farthest away from Robert is Liz, and she is 5 units away.
A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following points could be a vertex of the triangle?
Answer:
We know that our triangle has one side along the line:
y = (1/4)*x
And other side along the line:
y = -(1/4)*x.
Now, we want to find the vertex.
And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.
Then we have:
y = (1/4)*x = -(1/4)*x
x = -x
The only solution to that equation is x = 0.
now we evaluate our lines in x = 0 and get:
y = (1/4)*0 = 0
y = -(1/4)*0 = 0
Then the lines intersect in the point (0, 0)
Then the vertex must be in the point (0, 0)
If sin∅+cos∅ = 1 , find sin∅.cos∅.
=============================================
Explanation:
The original equation is in the form a+b = 1, where
a = sin(theta)
b = cos(theta)
Square both sides of a+b = 1 to get
(a+b)^2 = 1^2
a^2+2ab+b^2 = 1
(a^2+b^2)+2ab = 1
From here notice that a^2+b^2 is sin^2+cos^2 = 1, which is the pythagorean trig identity. So we go from (a^2+b^2)+2ab = 1 to 1+2ab = 1 to 2ab = 0 to ab = 0
Therefore,
sin(theta)*cos(theta) = 0
Answer:
sin ∅ cos ∅ = 0.
Step-by-step explanation:
(sin∅+cos∅)^2 = 1^2 = 1
(sin∅+cos∅)^2 = sin^2∅ + cos^2∅ + 2sin ∅ cos ∅ = 1
But sin^2∅ + cos^2∅ = 1, so:
2sin ∅ cos ∅ + 1 = 1
2 sin ∅ cos ∅ = 1 - 1 = 0
sin ∅ cos ∅ = 0.
Approximate 0.007349 to 3 significant figures
Answer:
Hey there!
That would result in 0.00735.
Let me know if this helps :)
Hence, the significant figures are [tex]0.00735.[/tex]
What is the approximation?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
Approximate [tex]0.007349[/tex] to significant figures
So, the significant figures are [tex]0.00735.[/tex]
Hence, the significant figures are [tex]0.00735.[/tex]
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help with math again please
ANSWER:
It is C
NO EXPLANATION