The simplest form of w : x : y : z will be;
⇒ w : x : y : z = 20 : 30 : 9 : 1
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Olivia and Jessica have in total half as many sweets as Fran and Gary have in total.
Now,
Let Fran got w sweets.
Gary got x sweets.
Olivia got y sweets.
Jessica got z sweets.
So, We get;
⇒ (y + z) = 1/2 (x + w) ..(i)
Here, w = 2a and x = 3a
And, y = 9b and z = b
Substitute in equation (i), we get;
⇒ (y + z) = 1/2 (x + w)
⇒ (9b + b) = 1/2 (2a + 3a)
⇒ 10b = 1/2 (5a)
⇒ 20b = 5a
⇒ 10b = a
So, w = 20b and x = 30b
Or, w : x = 20b : 30b
So, w : x: y: z = 20b : 30b : 9b : b
= 20 : 30 : 9 : 1
Thus, The simplest form of w : x : y : z will be;
⇒ w : x : y : z = 20 : 30 : 9 : 1
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How do I solve 5/30 * 100
Answer:
16.67
Step-by-step explanation:
5/30 = 1/6
1/6 x 100 = 100/6
100/6 simplified is 16.67
Answer:
Use PEMDAS
Step-by-step explanation:
P-parenthesis ( )
E-Exponent
M-Multiplication *
D-Division /
A- Addition+
S-Subtraction -
so, first you would do 30 * 100= 3000
Then, you would do 5/3000=???
Karen is trying to decide which home phone company to use. PhoneHome was a monthly charge of
$45 and charges $0.01 per minute. CallMeMaybe has a monthly charge of $10 and charges $0.05 per
minute. Write an inequality to represent the number of minutes used in order for PhoneHome to
have the better deal.
Answer:
0.01x+45>0.05x+10
Shannon wanted to get at least an 80% on her next test. The test was worth 50 points. How many points will Shannon need to get correct? a. 40
b. 25
c. 30
d. 62.5
The percentage change when a price is £20 decreased to £3
well, the difference is £20 - £3 simply £17.
now, if we take £20 to be the 100%, what is £17 off of it in percentage?
[tex]\begin{array}{ccll} \pounds &\%\\ \cline{1-2} 20 & 100\\ 17& x \end{array} \implies \cfrac{20}{17}=\cfrac{100}{x}\implies 20x=1700 \\\\\\ x=\cfrac{1700}{20}\implies x=85[/tex]
Bill wants to purchase some gloves and hats. The gloves cost $12 and a hat costs $8. Bill can spend no more than $56. Let g represent the number of gloves purchased and h represent the number of hats purchased. Which inequality represents this situation?
Step-by-step explanation:
Let g represent the number of gloves purchased and h represent the number of hats purchased.
The gloves cost $12 and a hat costs $8
We need to write an inequality that represents this situation.
Cost of gloves = $12g
Cost of hats = $8h
No more than $56 means [tex]\le 56[/tex].
We can write the inequality as follows :
[tex]12g+8h\le 56[/tex]
Hence, this is the required solution.
Matthew's dad hired him to paint 6 wooden patio chairs for $125. It takes him 9 hours to paint all of the chairs. If it takes the same amount of time to paint each chair, what fraction of an hour does it take Matthew to paint one chair? Justify your thinking with a model.
Given:
Matthew's dad hired him to paint 6 wooden patio chairs for $125.
Time taken by him to paint all of the chairs = 9 hours.
It takes the same amount of time to paint each chair.
To find:
The fraction of an hour does it take Matthew to paint one chair
Solution:
Total time = 9 hours
Total number of chairs = 6
Now, time taken by Matthew to paint one chair is
[tex]\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{9}{6}[/tex]
[tex]\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}[/tex]
Therefore, Mattew takes [tex]\dfrac{3}{2}[/tex] of an hour to paint one chair.
Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.
helppppppp pleaseeeeeee
Draw a number line and show the following numbers.
one-digit primes
-----------------------------------------------------
answer: 2, 3, 5, 7
what value of n makes this equation true?
Answer:
c
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
When converting radical expressions to rational exponents the exponent on the radicand (1) becomes the numerator of the rational exponent, and the index/root of the radical (4) becomes the denominator of the rational exponent. (1/4)
Please help and explain how to do it (extra points)
Answer:
It is C
Step-by-step explanation:
So 3.75 is the rate of change, when she goes to get a drink it changes it subtracts the amount which Mia has which is $50. so we could put y=-3.75x+50 as the equation because for the number of drink she buys multiply by how much she cost will be the money she has to spend, so by subtracting by 50 her gift card will give how much money she will have in her gift card
Hope this helps
Answer: y= -3.75x + 50
Each drink costs Mia $3.75. Since spending money causes her to lose money, this value will be negative. Therefore, we will put -3.75x in the beginning of the equation.
Mia has $50 on a gift card. Since this amount is positive (she has a positive amount of money) and remains constant (the amount on the gift card won't change) we will put +50 at the end of the equation.
HELP ASAP I GIVE 60 points total and big brain!!!! Solve the system of equations by substitution. If there is one solution, express it as an ordered pair. If there is no solution, write no solution. If there is an infinite number of solutions, write infinite number of solutions.
x−y=−5x
x−y=1/3
Solution:
Given:
x - y = -5xx - y = 1/3Substitute the value of "x - y" into equation 1.
x - y = -5x1/3 = -5xDivide -5 both sides.
1/3 ÷ -5 = -5x/-51/3 x 1/-5 = xx = 1/-15 = -1/15Substitute the value of x into equation 2.
x - y = 1/3-1/15 - y = 1/3-1/15 - y = 5/15-y = 5/15 + 1/15y = -6/15 = -2/5Putting the solutions in (x,y) form.
⇒ (x,y) ⇒ (-1/15, -2/5)Answer:
(x, y) = (-1/15, -2/5)
Step-by-step explanation:
You want to solve the system of equations by substitution:
x -y = -5xx -y = 1/3SubstitutionWe can use the second equation to substitute for (x-y) in the first equation:
1/3 = -5x
-1/15 = x . . . . . . . . divide by -5
Substituting this value into the second equation, we have ...
-1/15 -y = 1/3
-1/15 -1/3 = y = -6/15 = -2/5
The solution is (x, y) = (-1/15, -2/5).
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HELP HAVING BAD DAY Find the ratio a:b if it is given that:
3a=8b
Answer:
..
Step-by-step explanation:
Answer:
3;8
Step-by-step explanation:
= In circle V, VW = 8 and m<WVX = 20°. Find the length of arch W X. Express your answer as a fraction times pi.
The length of the arc WX is the number of units on the arc
The length of the arc WX is [tex]\frac{8}{9} \pi[/tex]
How to determine the length of the arc WX?The given parameters are:
Central angle, m<WVX = 20 degrees
Radius, VW = 8
The length (L) of the arc is calculated as:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
Substitute known values
[tex]L = \frac{20}{360} * 2\pi *8[/tex]
Evaluate the product
[tex]L = \frac{320}{360} \pi[/tex]
Simplify the fraction
[tex]L =\frac{8}{9} \pi[/tex]
Hence, the length of the arc is [tex]\frac{8}{9} \pi[/tex]
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much appriciated if helping
if you bought 845.67 mL of dish soap and have already used 242.36 mL, how much do u have left
Answer:
I believe you just subtract 845.67ml - 243.36 which is equal to 602.31
Step-by-step explanation:
4(3m-2)=16m so what does m equal to?
Answer:
m= -2
Step-by-step explanation:
Answer:
m=2
Step-by-step explanation:
4×3m=12m
4×-2=-8
12m-8=16
16+8=24
24/2
=12
Hope this helps! :)
What is the x-coordinate of the midpoint of line segment AB with points A(62, 5) and B(-46, -13).
Answer: 5
Step-by-step explanation:
The x-coordinate of the midpoint of the segment is the average of the x-coordinates of the two endpoints.
Therefore, the x-coordinate of the midpoint of AB is the average of the x-coordinate of A and the x-coordinate of B.
We are given that the x-coordinate of A is 62 and of B is -42.
The average of 62 and -42 = (62-42)/2 = 10/2 = 5
Which table represents a linear function? ill give you brainliest if you’re right
How do you do a 180 rotation around the point (2, 0)??
Answer: (x,y)→(−x,−y)
Step-by-step explanation: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y)
Find the Area of the Trapezoid
Area:-
1/2(Sum of parallel sides) (Height)1/2(2+5)(3)1/2(21)10.5units°2Answer:
[tex]A=\boxed{10.5}\; \;\rm sq. \; un.[/tex]
Step-by-step explanation:
Area of a Trapezoid
[tex]\boxed{A=\dfrac{1}{2}(a+b)h}[/tex]
where:
a and b are the bases of the trapezoid (the parallel sides).h is the height of the trapezoid (perpendicular to the bases).From inspection of the given diagram:
a = SK = 2 unitsb = OC = 5 unitsh = OS = 3 unitsSubstitute the found values into the formula and solve for A:
[tex]\implies A=\dfrac{1}{2}(2+5)(3)[/tex]
[tex]\implies A=\dfrac{1}{2}(7)(3)[/tex]
[tex]\implies A=\dfrac{7}{2}(3)[/tex]
[tex]\implies A=\dfrac{21}{2}[/tex]
[tex]\implies A=10.5\; \;\rm sq. \; un.[/tex]
What is the unit circle for sin60
Graph the solution of this inequality
å (x+8) > 2 (2.0 + 10)
-5
-4
-3
-2
-1
0
1
2
3
4
5
Drag a point to the number line.
Show Example
The required solution to the given inequality is x > 16, as shown in the graph.
What is inequality?In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to). For example, "x + 3 < 10" is an inequality that states that the value of x plus 3 is less than 10.
Here,
As mentioned in the question,
To graph, the solution of the inequality (x+8) > 2 (2.0 + 10).
Simplifying the given inequality:
(x+8) > 2 (2.0 + 10)
x+ 8 > 2(12)
x > 24 - 8
x > 16
Thus, the required solution to the given inequality is x > 16.
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the fee for ride tickets at a carnival is shown in the table at the right.
b. can you determine the fee of 30 ride tickets? explain.
The fee for 30 ride tickets is 24.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Fee for ride tickets at a carnival is shown in the table at the right.
5 tickets=5 fee
10 tickets=9.50 fee
15 tickets=13.50 fee
20 tickets=16 fee
We need to find the fee for 30 tickets.
Let x be the fee for 30 tickets
20/16=30/x
Apply cross multiplication
20x=480
Divide both sides by 20
x=24
Hence, the fee for 30 ride tickets is 24.
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Can someone help me with this? please and thanks <3
Answer:
80.56%
Step-by-step explanation:
So to solve we have the new value over the original value. the new value being the day the 29 workers showed up, and the original value is the full labor force there, so 36.
we get the equation 29/36 which gives us 80.56%
Hope this helps, please rate 5 stars and give brainlest!
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7.50 and each adult ticket sells for $11. The drama club must make no less than $990 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, ss, and the number of adult tickets sold, aa, that would satisfy the constraint.
Answer: ss*$7.50 + aa*$11 ≥ $990.
Step-by-step explanation:
We have two variables:
aa = # of adult tickets sold.
ss = # of student tickets sold.
The total profit is:
P = ss*$7.50 + aa*$11
And we want P ≥ $990.
Then we can write the inequality:
ss*$7.50 + aa*$11 ≥ $990.
Now, we have only one equation and two variables, so there are a lot of possible solutions for this system.
Help pls. Help pls. Help pls.
Answer:
a
Step-by-step explanation:
all other options make no sense
Please help!! If f (x) = e^x sin x, then f’ (x) =
Answer:
[tex] f'(x) = {e}^{x}( \sin x + \cos x ) [/tex]
Step-by-step explanation:
[tex]f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) [/tex]
HELPPP FOR BRAINLEST PLEASE
Answer:
4th is correct
Step-by-step explanation:
As the object moves in forword direction
so F2 must have great magnitude.
HOPE THIS HELP YOU FOR ANY QUESTION PLEASE ASK ME
Members of the ninth grade class at Pine Ridge High School are organizing into service groups. What is
the minimum number of students who must participate for all students to be divided into groups of 4, 6, or 9 students
with no one left out?
Answer:
8
Step-by-step explanation:
There are several groups so there can't be just one. And the lowest number needed for a group is 4. So the minimum amount of people to participate would have to be 8.
HELP PLS!!!
Solve the inequality $x^3 + 4x > 5x^2$.
Answer:
de fk?
Step-by-step explanation:
wth is that