Answer:
Yes.
Step-by-step explanation:
7 x 8= 56
9 x 8= 72
56/72 is proportional to 7/9
Answer:
[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional
Step-by-step explanation:
In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.
Which expression is equivalent to 3
5v ?
Answer:
x ^5/3 y ^1/3 (the second option listed)
Step-by-step explanation:
So without even solving the expression, you can find the correct option. If you're finding the cube root (or really any square root), you know it will be less than your original number (unless you are working with imaginary numbers, but you aren't).
So, if you are finding the cube root of an expression, you're finding the cube root of each number separately.
You wouldn't be cubing y, you would be finding the cube root. You wouldn't be leaving y the same, you are finding the cube root.
This means that without even solving (which I will explain),
the correct option is the second one on the screen.
Here's how to actually solve the equation:
So, if we are finding the cube root of a variable with an exponent, we can divide that exponent by 3 (because it is a cube root).
When we have a square root, you know that we are breaking down each number/variable into an even exponent to solve the expression. When taking the square root of an even exponent, such as 4, you would divide by 2.
This same strategy applies to cube roots. You are dividing the exponent of both variables by 3.
[remember: the exponent of a variable without an exponent is essentially an invisible exponent of 1.]
Brainliest if correct
Answer:
0.42
30.7
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4500 seats. The students left 3105 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
[tex]\bull[/tex]Total number of seats in theatre = 4500
[tex]\bull[/tex]Total number of seats left vacant = 3105
Solution:-[tex]\longrightarrow[/tex]Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant
[tex]\longrightarrow[/tex]Number of seats occupied
[tex]\quad[/tex]= 4500 - 3105
[tex]\longrightarrow[/tex] 1395
[tex]\\[/tex]
Now,
[tex]\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Thus , 31 % of seats in the theater were filled by the 6th graders on the trip
J^3 = 0.125 (I don’t understand help me please)
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ J^3=0.125\implies J^3=\cfrac{0125}{1000}\implies J^3=\cfrac{1}{8}\implies J^3=\cfrac{1}{2^3} \\\\\\ J^3=2^{-3}\implies J^3=(2^{-1})^3\implies J=2^{-1}\implies J=\cfrac{1}{2}[/tex]
What is the value of z?
Enter
your answer in the box.
Answer:
the value of z is 60 degree
Find the total amount
$16.000 at 14% compounded
semiannually for 2 years
Answer:
The answer would be 20.97273616 or (rounded to the nearest cent) would be $20.97
Step-by-step explanation:
The reason for this is that the formula for compounded interest is [tex]A=P(1+\frac{r}{n})^\frac{t}{n}[/tex] where A is the total amount, P is the initial amount, r is the growth factor or the percent, n is the number of compounding periods, and t is the time. You would substitute P for 16, r for 0.14 (14%), n for 2 as it compounded semiannually so it for every 6 months instead of 1 year (annual) so is compounded 2 times per year, and t for 2. And just solve the equation and you get that A is equal to 20.97273616 but since we are talking about money( only round if asked) then it would be 20.97.
Hope this helps!!!!
10 A grocery store bought 1,600 cans of
vegetables in different sizes. Of the cans,
25% contained less than 400 grams of
vegetables, 15% contained between 400
and 500 grams of vegetables, and the
rest contained more than 500 grams of
vegetables.
How many cans contained more than 500
grams of vegetables?
F 1,120
H 640
G 800
J 960
Answer:
1020 cans
Step-by-step explanation:
100-25
=75%
0.75x1600
1200cans
100-15
=85%
0.85x1200
=1020 cans
In a rhombus, the difference of the measures of the two angles between a side and the diagonals is 32°. What are the measures of the angles of the rhombus?
Answer:
122 and 58
Step-by-step explanation:
Freida tossed a coin 3 times and it always landed on head. Fine the probability of tossing a head.
Answer: 1/2
Step-by-step explanation: This is a coin. Having heads three times in a row will never change that a coin is two sided and random, meaning it will never affect the coin to always be heads. They were most likely just lucky to get heads all the time. It will always be 1/2 since the coin is inanimate and is not like selecting classmates from a team, it cannot know it's probabilities and affect it. Thus it is 1/2 probability.
This can be simplified in the equation: P(H) = 1/2, P(T) = 1/2, P(H | T) = 1/2
Let f(x)= x(2x-3)/(x+2)x. Find the domain, vertical and horizontal asymptote
Step-by-step explanation:
Domain of a rational function is everywhere except where we set vertical asymptotes. or removable discontinues
Here, we have
[tex] \frac{x(2x - 3)}{(x + 2)x} [/tex]
First, notice we have x in both the numerator and denomiator so we have a removable discounties at x.
Since, we don't want x to be 0,
We have a removable discontinuity at x=0
Now, we have
[tex] \frac{2x - 3}{x + 2} [/tex]
We don't want the denomiator be zero because we can't divide by zero.
so
[tex]x + 2 = 0[/tex]
[tex]x = - 2[/tex]
So our domain is
All Real Numbers except-2 and 0.
The vertical asymptors is x=-2.
To find the horinzontal asymptote, notice how the numerator and denomator have the same degree. So this mean we will have a horinzontal asymptoe of
The leading coeffixent of the numerator/ the leading coefficent of the denomiator.
So that becomes
[tex] \frac{2}{1} = 2[/tex]
So we have a horinzontal asymptofe of 2
the bill for three bags of peanuts on two medium drinks at the movies with 11.15 dollars is a bag of peanuts cost to $35 how much was 1 drink
Answer:
5.575
Step-by-step explanation:
divide it by 2 its easy
What is the surface area of this right triangular prism? enter your answer in the box.
Answer:
Step-by-step explanation:
where is the prism???
i can't answer without seeing the question
The area of a circle is 36π cm². What is the circumference, in centimeters? Express your answer in terms of π
Answer: [tex]12\pi[/tex]
Step-by-step explanation:
The formula for area of a circle is [tex]\pi r^2=A[/tex]
The formula for circumference of a circle is [tex]2r\pi=C[/tex]
Where r is the radius
A is area
C is circumference
Knowing this we can sub our values in and solve for r in the formula for area
Divide both sides by [tex]\pi[/tex] to isolate r
[tex]\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36[/tex]
Take the square root of both sides
[tex]r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6[/tex]
Now sub the value of r into the formula for circumference
[tex]2r\pi =C\\2(6)\pi =C\\12\pi[/tex]
Answer:
[tex]12\pi \: c \: m[/tex]
step by step explanation:
[tex]area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm [/tex]
The size of the rat population of a wharf area grows at a rate of 5% monthly. If there are
200 rats in June, find how many rats should be expected by next June.
Answer:
200+10×12=320
Step-by-step explanation:
solve pls brainliest
Hi again! The answer is 200 students
Would you like me to help explain so you can do these questions on your own? :)
plss help!
Question: Find a,b and c
Answer:
See below, please
Step-by-step explanation:
The right：
[tex] {(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba = [/tex]
[tex] = {y}^{2} - bx + 2cy + {c}^{2} - ab[/tex]
The left:
[tex] = {y}^{2} - 7x - 18y + 109[/tex]
So, after comparing the right side and the left side of this equation, we know
1)
[tex]b = 7[/tex]
2)
[tex]2c = - 18 \\ so \\ c = - 9[/tex]
3)
[tex] {c}^{2} - ab = 109[/tex]
So,
[tex]a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4[/tex]
pls help ill give 15 brainliest and 5 starts question is down below
Answer:
1 is 9 sq units
2 is 12
3 is 24cm^2
Step-by-step explanation:
What is the length of the rectangular plot of land shown? Use pencil and paper. How are the lengths of the legs of a right triangle related to the lengths of the sides of a rectangle?
The length of the rectangular plot of land is ___ ft?
Answer:256960ft
Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.
Answer:
297 ft
Step-by-step explanation:
In the figure below, triangle ABC undergoes a reflection and a translation to become triangle PQR. In triangle ABC, m
The angle measures of triangle PQR are: m
Answer:
Step-by-step explanation:
A corresponds to angle P, so angle P measues 70 degrees.
Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 1/2
Step-by-step explanation:
14 inch - 5 1/2 inches = 8 1/2 inches
Aba's dog grew 8 1/2 inches.
Answer:
8.5 Inches, 2.78 pounds approximately
Step-by-step explanation:
14- n = 5.5. In this case you will have to subtract 5.5 from 14. 14 - 5.5 = 8.5. You get 2.5 pounds because, 1.10 x 2 = 2.20. 2.75 - 2.20= .55. $1.10 is 70 cents. 55/70 = 11/14= is around .78. 2+.78 = 2.78
Help me, please guyyyyyyusssssss.
Answer:
Step-by-step explanation:
7) Volume of the shape = Volume of triangular prism - volume of cylinder
Triangular prism:
[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]
b = 6 ft & height of the triangle = 5 ft
[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]
= 3*5
= 15 ft²
Volume of prism = 15 * 4
= 60 ft³
Cylinder:
r = 2÷2 = 1 ft & h = 4 ft
Volume of cylinder = 3.14 * 1 * 1 * 4
= 12.56 ft³
Volume of the shape = 60 - 12.56
= 47.44 ft³
8) Volume = Volume of Pyramid - Volume of cone
[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]
[tex]\text {base area = length * width}\\\\\\[/tex]
= 9 * 9
= 81 m²
Volume of Pyramid = 81 * 8
= 648 m³
[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]
r = diameter ÷ 2 = 6÷2
r = 3 m & h = 8 m
[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]
= 3.14 * 3 * 8
= 75.36 m³
Volume of the shape = 648 - 75.36
= 572.64 m³
9) Volume of the shape = volume of cylinder + volume of cone
Cylinder:
h = 7 in ; r = 3
[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]
[tex]=\dfrac{22}{7}*3*3*7[/tex]
= 22 *3 * 3
= 198 in³
Cone:
r = 3 in & h = 4 in
[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]
= 3.14 * 3 * 4
= 37.68 in³
Volume of the shape = 198 + 37.68
= 235.68 in³
10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder
Volume of outer cylinder:
R = 9 m & h = 3 m
Volume of outer cylinder = 3.14 * 9 * 9 * 3
= 763.02 m³
Volume of inner cylinder:
r = 5 m & h = 3 m
Volume of inner cylinder = 3.14 * 5 * 5 * 3
= 235.5 m³
Volume of the shape = 763.02 - 235.5
= 527.52 m³
Find all solutions of the equation below.
7^5-3=7^5x-19
Answer:
7⁵-3=7⁵x- 19
Step-by-step explanation:
16807 - 3 = 7⁵x - 19
16804 = 7⁵x - 19
16804 = 16807x - 1
adding 19 on both sides
16804 + 19 = 16807x - 19 + 19
16823 = 16807x
x = 16823 / 16807
16823 upon 16807 is the x
2 1/3 + 3 1/8 + 1 1/24
Answer:
the answer is 6 1/2
Step-by-step explanation:
I solved using calculator
Answer:
6 1/2
Step-by-step explanation:
Asad wants to print 500 photos. A shop charges at rate of 0. 20 per photo to print. How much does he pay to print the photos?
Answer:
$100
Step-by-step explanation:
multiply 500 by 0.20
you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100
solve this please QUICKLY and explain
Directly solving the linear equations, we will see that:
a) x = -4b) x = 6c) x = 4/3d) x = 2.How to solve linear equations?
Let's start with the first one:
3 - x = 11 + x
First, move all the terms with x to the left side and the ones without to the right side:
-x -x = 11 - 3
-2x = 8
Now we divide both sides by -2
x = 8/-2 = -4
x = -4
2) 2x + 7 = 3x + 1
Same procedure:
2x - 3x = 1 - 7
-x = -6
x = -6/-1 = 6
x = 6
3) 8 - 2x = 4 + x
-2x - x = 4 - 8
-3x = -4
x = -4/-3 = 4/3
4) 4x + 2 = 2x + 6
4x - 2x = 6 - 2
2x = 4
x = 4/2 = 2
x = 2
So we solved all linear equations.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a day?
Your missing the diagram. Thus, I will try my best to help
Answer/Step-by-step explanation:
Given;
The diagram below shows how much time Antoine spends doing different activities each day.
How many hours does Antoine sleep in a day?
Solve;
To find how many hours does Antoine sleep in a day;
24 hour × percent of hour sleep = Hours sleep in a day
The sleeping hours = 24h × % = Hour
If you still do not understand please shown the diagram!
~Learn with Lenvy~
Mary wants to buy a sewing machine, she can buy it for $315 cash, or on hire purchase for $25 down payment and 12 monthly instalments of $27. 50. How much more will Mary have to pay on hire purchase?
Answer:
She will pay $40 more.
Step-by-step explanation:
I used the equation y=27.50x + 25 to find this out and made x = 12 to represent how many months she is paying.
now putting x into the equation, y = 27.50(12) + 25
First i did the multiplication, 27.50 x 12 = $330.
Then I added 25 to 330 for the down payment, 330 + 25 = 355
I then did 355 - 315 to find out how much more you would pay,
355 - 315 = $40
Hope this helps!
If the m<4 = 15, find the measure of <2
Answer: 75 Degrees
Step-by-step explanation: 1. Due to the law of opposite adjacent angles, we can determine angle 1 is congruent to angle 4 and therefore is 15 degrees 2. Angle 3 is shown to be a right angle (90 degrees) 3. Since angles 1,2, and 3 are on a flat line, the sum of all 3 is 180 4. 15+90 is 105 5. 180-105 is 75 which is the measure of angle 2
3 1/2 x 2 1/2 pls help ASAP!!!!
Answer:
Your answer is 8.75 or 8 ¾
Step-by-step explanation:
3 ½ × 2 ½ = 8 ¾
Have a nice day! :)
At a movie theater, the manager announces that a free ticket will be given to the first person in line whose birthday is the same as someone in line who has already bought a ticket. You have the option of getting in line at any time. Assuming that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365-day year, what position in line gives you the best chance of being the first duplicate birthday?
please explain how you got this answer. Thank you!
The best chance is an illustration of probability
The 21st position in line gives you the best chance of being the first duplicate birthday
How to determine the best position?
Assume you are in the nth position, the probability of getting a free ticket is:
P(n) = P'(first n - 1 people share a birthday) * P(birthday with first n -1 people)
Mathematically, the above can be represented as:
P(n) = [365/365 * 364/365 * 363/365 * ... * (365 - (n -2))/365] * [(n -1)/365]
Such that: n [tex]\le[/tex] 365
When simplified, the equation becomes
p(n)/p(n+1) = 365/(366 - n) * (n - 1)/n
Where
p(n)/p(n+1) > 1
So, we have:
365/(366 - n) * (n - 1)/n > 1
Evaluate the product
(365n -365)/(366n - n²) > 1
Cross multiply
365n -365 > 366n - n²
Collect like terms
n² + 365n - 366n - 365 > 0
Evaluate the difference
n² - n - 365 > 0
Solve for n using a graphing calculator;
n > - 18.6 or n >19.6
n cannot be negative.
So, we have:
n > 19.6
Approximate to nearest integer
n > 20
The least integer value of n is:
n = 21
Hence, the 21st position in line gives you the best chance of being the first duplicate birthday
Read more about probability at:
https://brainly.com/question/25870256