Answer: D. range
Step-by-step explanation:
To measure the center of the tendency we use Mean , median or mode depends on the type of data.
But when we discuss about the distance between the initial point and the final point in a data , we use 'range' as term for this.
Range= distance between initial and final point.
here, range = distance between the starting point and the point where water-skiing accident occurs.
Hence, the correct option is D. range
Find the value of x.
A) 7
b) 17
c)49
d)61
Answer:
x=17
Step-by-step explanation:
7x and 2x+27 are supplementary meaning they add up to be 180 degrees.
so, 7x + 2x + 27 = 180
9x + 27 =180
9x = 153
x = 17
hope this helped
Pls ASAP help me with number 14
Answer:
D. 19
Step-by-step explanation:
because they are parallel bases you can compare
63/57 = 21/x
x = 19
Answer: D. 19
Let x by the length of CG. Since the two bases are parallel, we can create the following equation using proportions:
[tex]\dfrac{63}{21}=\dfrac{57}{x}[/tex]
Simplify left side of equation
[tex]3=\dfrac{57}{x}[/tex]
Multiply both sides by x
[tex]3x=57[/tex]
Divide both sides by 3
[tex]x=19[/tex]
Let me know if you need any clarifications, thanks!
write the sum of twice a number and eleven as an algebraic expression
Answer:
2x-11
Step-by-step explanation:
2 x X = 2x + 11
Help someone!! Thank you!
Answer:
D. 1.3
Step-by-step explanation:
Perimeter (square) = 4*side
4 = 4*side
side = 1
We have triangle QVR. QV is a hypotenuse.
If we look at the triangle QTR, QT is a hypotenuse.
QV should be less than QT.
Let's find QT using Pythagorean theorem.
c² = a² + b²
QT² = QR² + RT² = 1² + 1² = 2
QT = √2 ≈ 1.4
QV < QT
QV < 1.4
We have 1.3 and 1 that are less than 1.4, but 1 is a length of a leg of the triangle, so 1 is impossible.
Answer D. 1.3
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15 : 1 15:1.He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice. What is the price of rice per gram?
Answer: Price of rice per gram = $ 0.006 per gram or 0.6 cents per gram .
Step-by-step explanation:
Given: David wants to make 10 servings, where each serving has 75 grams of rice.
Total quantity of rice required = 10 x 75 = 750 grams
Overall, David spends 4.50 dollars on rice.
i.e. cost of 750 grams of rice = 4.50 dollars
Price of rice per gram =(cost of 750 grams of rice ) ÷ 750
= (4.50 dollars ) ÷ 750
= $ 0.006 per gram.
Price of rice per gram = $ 0.006 per gram.
Answer:
0.006
Step-by-step explanation:
ehgfdcgmkmvnnrebsbhbnjrfjgnjkae
What did you multiply together to find the sales tax?
Answer:
Step-by-step explanation:
To find the sales tax on a purchased or sold item, first convert the sales tax percentage into the equivalent decimal fraction. If the sales tax rate is 5.5%, then the desired decimal fraction is 0.055. Next, multiply the selling price of the purchased or sold item by this decimal fraction. If, for example, the selling price is $100, the sales tax is 0.055($100) = $5.50
One day at a school 70% of the students wore a polo shirt.
80% of the students wearing polo shirts were boys.
What percentage of students were girls who wore polo shirts?
Answer:
14%
Step-by-step explanation:
If the percentage of boys wearing polo shirts were boys, then the rest has to be girls. So 100%-80%=20%. However, we are not done here.
We have only figured out the percentage of girls out of the total number of people wearing polo shirts. We want to find the percentage of girls wearing polo shirts out of the whole school. To do that, we multiply 20% by 70%, since 20% of the polo shirt wearers were girls, and 70% of the entire student body is wearing a polo shirt.
Multiplying those two together gets you 14%.
Answer:
14%
Step-by-step explanation:
1+1+2+6+7+9x89x98x45x56/4
Answer:
49453757
Step-by-step explanation:
Answer:
49453757
Step-by-step explanation:
Dont forget to rate and thanks!
How is the graph of y=(x+1)^2-9 transformed from the graph of y=x^2? a shifted 1 unit left and 9 units up b shifted 1 unit right and 9 units up c shifted 1 unit left and 9 units down d shifted 1 unit right and 9 units down
Answer:
Step-by-step explanation:
Due to the '+1', the graoph of x^2 is shifted 1 unit to the left. The '+9' results in the entire graph being shifted downward 9 units.
Thanks a lot... Plz answer with steps
24 and 16
Step-by-step explanation:
let's assume two part be x and (40 - x)
According to Question,
[tex] x\dfrac{1}{4} = (40 - x) \dfrac{3}{8} [/tex]
[tex] x= \dfrac{3(40 - x)}{2} [/tex]
[tex]2 \times x = 120 - 3x [/tex]
[tex]2x + 3x = 120[/tex]
[tex]5x = 120[/tex]
[tex] \cancel{5}x= \cancel{120}[/tex]
[tex]x = 24[/tex]
Hence one part is 24 and other is (40 - 24) = 16 .
Answer: 24 and 16
Step-by-step explanation:
Which statement is correct about the system of linear equations graphed below? A.The system of equations has one solution because the lines will eventually intersect. B.The system of equations has one solution because the lines will never intersect. C.The system of equations does not have one solution because the lines will eventually intersect. D.The system of equations does not have one solution because the lines will never intersect.
Answer: A
Step-by-step explanation:
They have one solution because as you look at the lines they have different slopes and different y intercepts which means it has one solution.It is not parallel to each other to have no solutions. They seems to be going to one direction and eventually they will intersect.
explain briefly. in your own words.
Rational and irrational numbers.
give examples.
exponential equation.
rational numbers are numbers which can be expressed in fraction form whereas irrational is just opposite
Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by .
volume please 20* points
Answer:
1800cm^3
Step-by-step explanation:
l=10cm
w=10cm
h=18cm
V=l.w.h
V=10cmx10cmx18cm
V=100cm^2x18cm
V=1800cm^3
Hope this helps. ❤❤❤
Answer:
600 cm³
Step-by-step explanation:
Volume of a square-based pyramid = a² × h/3
a = 10
h = 18
10² × 18/3
100 × 6
= 600
If $f(x)$ is a polynomial of degree 3, and $g(x)$ is a polynomial of degree 5, then what is the degree of polynomial $2f(x) + 4g(x)$?
Answer:
Degree 5
Step-by-step explanation:
Given
Degree of f(x) = 3
Degree of g(x) = 5
Required
Degree of 2f(x) + 4g(x)
Analyzing both polynomialsf(x)2f(x) means 2 * f(x)
Since 2 is a constant
Multiplying f(x) by 2 will result in a polynomial with a degree of 3
Hence 2f(x) has a degree of 3
g(x)4g(x) means 4 * g(x)
Since 4 is also a constant
Multiplying g(x) by 4 will result in a polynomial with a degree of 5
Hence 4g(x) has a degree of 5
Having said that;
When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;
This means that;
Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5
Mr. Sanchez's students were asked to add two positive integers. Juan subtracted by mistake and got 2. Maria mistakenly multiplied and got 120. What was the correct answer?
Answer:
22
Step-by-step explanation:
Given
From Juan's calculation,
Difference of two positive integers = 2
From Maria's calculation,
Product of same integers = 120
Required
Find the sum of the two numbers
Let the two integers be represented by a and b
a - b = 2 ------- (1)
a * b = 120 ------- (2)
Make a the subject of formula in (1)
a = 2 + b
Substitute 2 + b for a in (2)
(2 + b) * b = 120
Open bracket
2 * b + b * b = 120
2b + b² = 120
Rearrange
b² + 2b = 120
Subtract 120 from both sides
b² + 2b - 120 = 120 - 120
b² + 2b - 120 = 0
At this point, we have a quadratic equation.
We start by expanding the expression
b² + 12b - 10b - 120 = 0
Factorize
b(b + 12) - 10(b + 12) = 0
(b - 10)(b + 12) = 0
This implies that
b - 10 = 0 or b + 12 = 0
Make b the subject of formula in both cases
b = 10 or b = -12
From the question, we understand that both numbers are positive.
This means that
b = -12 will be discarded.
Hence, b = 10
Recall that a = 2 + b
Substitute 10 for b
a = 2 + 10
a = 12
This implies that the two numbers are 12 and 10.
Their sum = 12 + 10
Sum = 22
The correct answer is 22
Hey loves!!! Plz help if you have the time.<3
Answer:
The first and last answer.
Step-by-step explanation:
If you look closely at the triangles you can tell which ones are the same and which differ.
Hope this helps!! <3
an orphanage bought 119 1/4 m of cloth to stitch dresses for kids. The dress for one kid requires 2 1/4m of cloth. How many dresses of the size can be stitched
Answer:53 dresses
Step-by-step explanation:
First of all..if one kid required 2 1/4m of cloth,what about 119 1/4m of cloth?
So u take 119 1/4m of cloth and divide it by 2 1/4m of cloth.
Then change the mixed numbers into improper fractions.
So the question will be 477/4 m divided by 9/4 m.
The second improper fraction (9/4)m will be reciprocated to be (4/9)m.
Afterwards,take 477/4 m and multiply it by 4/9 m.
The result will be 53 dresses.
Which movie had the audience with the younger median ?
A. Movie A
B. Movie B
C. Both
D. Cannot be determined
How can we tell? Look at the vertical lines inside the box. This is where the median is located. For movie A, the inner vertical line is somewhere between 30 and 40 (perhaps 35 or so). So this is the median for movie A. Meanwhile, the median for movie B is somewhere between 40 and 50. I'd say maybe 46 or 47 as its a bit higher than the halfway point.
-----------
Extra info:
The left edge of the box is the first quartile (Q1).The right edge of the box is the third quartile (Q3).The tip of the left whisker is the min value, assuming there are no outliers to the left.The tip of the right whisker is the max value, assuming there are no outliers to the right.I'm going to mark whoever gets it right as brainliest Fred's coffee shop sells two blends of beans at the following prices. a) House Blend ($3.50/lb) b) Exotic Blend ($4.00/lb). House blend is 1/2 Costa Rican beans and 1/2 Ethiopian beans. Exotic blend is 1/4 Costa Rican beans and 3/4 Ethiopian beans. Every day Fred receives 200 lbs of Costa Rican Beans and 330 lbs of Ethiopian beans. Which inequality is a constraint? * 1/2x+1/4y or = to 530 x < or = 200
Answer:
(1/2)x + (1/4)y <= 200
Step-by-step explanation:
If
x = # of lbs of House blend he makes/sells a day
y = # of lbs of Exotic blend he makes/sells a day
then constraints are
(1/2)x + (1/4)y <= 200 ....................(1)
x+y <= 530 .....................................(2)
The exact answer choices are not very clear from the question, but either (or both) (1) or (2) must be one of them. If not, please edit question or add a comment to show the answer choices.
4(x − 7) = 0.3(x + 2) + 2.11
Step-by-step explanation:
[tex]4(x-7)=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3x+0.6+2.11\\\\Combine\\like\\terms\\\\4x+28=0.3x+2.71\\\\Subtract\\\\3.7x+28=2.71\\\\Subtract\\\\3.7x=-25.29\\\\Divide\\\\x=\tex{ about }6.83513514[/tex]
Hope it helps <3
Answer:
x = 83/10=8^3/10=8.3
Step-by-step explanation:
4(x − 7) = 0.3(x + 2) + 2.11
Use the distributive property to multiply 4 by x−7.
4x−28=0.3(x+2)+2.11
Use the distributive property to multiply 0.3 by x+2.
4x−28=0.3x+0.6+2.11
Add 0.6 and 2.11 to get 2.71.
4x−28=0.3x+2.71
Subtract 0.3x from both sides.
4x−28−0.3x=2.71
Combine 4x and −0.3x to get 3.7x.
3.7x−28=2.71
Add 28 to both sides.
3.7x=2.71+28
Add 2.71 and 28 to get 30.71.
3.7x=30.71
Divide both sides by 3.7.
x= 3071/370
Expand 3.7/30.71≈8.3 by multiplying both numerator and the denominator by 100.
x = 83/10
Are these fractions equivalent or
nonequivalent?
Answer:
no
Step-by-step explanation:
there is no factor to convert one into the other.
moreover, 19 is prime and 9 is not, so no way.
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
Answer:
84 squared units.
Step-by-step explanation:
In order to find the surface area of the pyramid, you use the following formula:
[tex]S=b^2+\frac{1}{2}ps[/tex] (1)
b: base of the pyramid = 6
p: perimeter of the base = 6*4 = 24
s: slant height
Then, you first calculate the slant height, by using the Pythagoras' theorem:
[tex]s=\sqrt{(5)^2-(\frac{6}{2})^2}=4[/tex]
Thus, you replace the values of b, p and s in the equation (1):
[tex]S=(6)^2+\frac{1}{2}(24)(4)=84[/tex]
The surface area of the pyramid is 84 squared units.
Answer:
Step-by-step explanation:
wrong
PLZZZ HELP WILL GIVE BRAINLIEST !!!!! NEED THIS FAST PLZZZ
Answer:
8
Step-by-step explanation:
Let's denote the number of members ordered chicken a, the number of members ordered beef b.
We have:
a + b = 12 (total number of members is 12)
10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)
a + b = 12 => a = 12 - b
Substitute a into second equation, we have:
10(12 - b) + 14b = 136
=> 120 - 10b + 14b = 136
=> 4b = 16
=> b = 4
=> a = 12 - b = 12 - 4 = 8
=> Number of members ordered chicken: a = 8
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds?
Answer: 20.8 cm
Step-by-step explanation:
Notice that the corners of the squares form a line.
Set the x-axis to time and the y-axis to length of a side (not perimeter) to create coordinates.
At 0 seconds the side length is 1 --> (0, 1)
At 2.5 seconds the perimeter is 32 (side length is 32/4 = 8) --> (2.5, 8)
First, find the slope between the coordinates using [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let (x₁, y₁) = (0, 1) and (x₂, y₂) = (2.5, 8)
[tex]m=\dfrac{8-1}{2.5-0}\quad =\dfrac{7}{2.5}\quad =\dfrac{7}{\frac{5}{2}}\quad =\dfrac{14}{5}\quad =2.8[/tex]
Next, use the Point-Slope formula to find the equation of the line:
[tex]y-y_1=m(x-x_1)\\\\y-1=2.8(x-0)\\\\y=2.8x+1[/tex]
Lastly, find the side length (y) when x = 1.5
y = 2.8(1.5)x + 1
= 4.2 + 1
= 5.2
Perimeter of a square = 4 times the side length
P = 4(5.2)
= 20.8
There are 39 chocolates in a box, all identically shaped. There 16 are filled with nuts, 13 with caramel, and 10 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a nut chocolate followed by a caramel chocolate.
Answer:
16/117Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = expected outcome of event/total outcome of event
Given the total amount of chocolate in a box = 39chocolates
Amount of nuts = 16
Mount of caramel = 13
Amount of solid chocolate = 10
If he randomly selects a nut chocolate and eat, the probability of selecting a nut chocolate = Amount of nuts/total chocolate in the box = 16/39
IF he selects a seconnd piece (caramel chocolate) and eat, the probability of selecting a caramel chocolate = Amount of caramel/total chocolate in the box = 13/39 = 1/3
The probability of selecting a nut chocolate followed by a caramel chocolate will be 16/39*1/3 = 16/117
9 divided by 2/3 equals
Answer:
[tex] \boxed{ \frac{27}{2} }[/tex]Step-by-step explanation:
[tex] \mathrm{9 \div \frac{2}{3} }[/tex]
To divide by a fraction, multiply by the reciprocal of that fraction
[tex] \mathrm{ = 9 \times \frac{2}{3} }[/tex]
Calculate the product
[tex] \mathrm{ = \frac{27}{2} }[/tex]
Hope I helped!
Best regards!!
Answer:
[tex]\boxed{13\frac{1}{2} }[/tex]
Step-by-step explanation:
[tex]9 / \frac{2}{3}[/tex]
Changing "division" into "multiplication" and inverting the term after it:
[tex]9 * \frac{3}{2}[/tex]
[tex]\frac{9*3}{2}[/tex]
[tex]\frac{27}{2}[/tex]
=> [tex]13\frac{1}{2}[/tex]
What is the approximate circumference of the circle shown below?
Answer:
[tex]\boxed{\sf 43.35 \ cm}[/tex]
Step-by-step explanation:
Apply formula for the circumference of a circle.
[tex]\sf C=\pi d[/tex]
The diameter [tex]\sf d[/tex] is 13.8 cm.
[tex]\sf C=\pi (13.8)[/tex]
[tex]\sf C= 43.3539786195...[/tex]
[tex]\sf{C} \approx \sf{43.35}[/tex]
Answer:
43.4 cm
Step-by-step explanation:
Circumference of the circle = 2πr
r = radius, π = [tex]\frac{22}{7}[/tex]
f = diameter÷2
=13.8 ÷ 2
= 6.9
circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]
= [tex]\frac{303.6}{7}[/tex]
= 43.37 cm or 43.4 cm
factorize (X + 2 y)square - (2 x minus y) square
Answer:
- (x - 3y)(3x + y)
Step-by-step explanation:
Given
(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL
= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute
= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms
= - 3x² + 8xy + 3y² ← factor out - 1 from each term
= - 1(3x² - 8xy - 3y²) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.
product = 3 × - 3 = - 9 and sum = - 8
The factors are - 9 and + 1
Use these factors to split the xy- term
3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )
= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term
= (x - 3y)(3x + y)
Thus
(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)
Rewrite the expression 4+[tex]\sqrt{16-(4)(5)}[/tex]/2 as a complex number in standard form,a+bi .
Answer:
[tex]2+i[/tex]
Step-by-step explanation:
Given the expression:
[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}[/tex]
To find:
The expression of above complex number in standard form [tex]a+bi[/tex].
Solution:
First of all, learn the concept of [tex]i[/tex] (pronounced as iota) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by [tex]i[/tex].
Value of [tex]i =\sqrt{-1}[/tex].
Now, let us consider the given expression:
[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i[/tex]
So, the given expression in standard form is [tex]2+i[/tex].
Let us compare with standard form [tex]a+bi[/tex] so we get [tex]a =2, b =1[/tex].
[tex]\therefore[/tex] The standard form of
[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}[/tex]
is: [tex]\bold{2+i}[/tex]
I'm marking brainliest bad answers grt a report an ban. ---- ----------- When solving this system of equations with substitution one of the following is a step. x+y=6, - 6x+8y = 6 * --------------------------------------------- -6(-x + 6) + 8y = 6 x+y = 6 -6x+8 (-x + 6) = 6 8y = 6x + 6
Answer:
-6x + 8(-x+6) = 6
Step-by-step explanation:
x+y = 6 => y = 6-x ..............(1)
Substitute y (1) in
-6x+8y = 6 .......................(2)
to get
-6x + 8(6-x) = 6
or equivalently
-6x + 8(-x+6) = 6