The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?
Answers
Answer:
Option (C)
Step-by-step explanation:
Option A.
Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]
From the table attached,
Ratio = [tex]\frac{6}{24}[/tex]
= 1 : 4
Option B.
Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]
= 1 : 6
Option C.
Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]
= 1 : 3
Option D.
Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]
= 7 : 24
≈ 1 : 3.43
Since, highest ratio means biggest fraction (with least denominator).
From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].
Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).
Related Questions
If p = 2 and q = 8, the value of p3 + V64 q ls____
Answers
Answer:
518
Step-by-step explanation:
P = 2
Q = 8
p3 + 64q
Multiply "p" (which is 2) with 3
Multiply "q" (which is 8) with 8
Add the two numbers you get
And you have you answer
I hope this helps. :)
Hope this helps, and happy holidays!!
In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Answers
Orange: 20
Red: 16
Explanation:
6 + 5 + 4 = 15
60 / 15 = 4
Y : 6 x 4 = 24
O: 5 x 4 = 20
R: 4 x 4 = 16
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
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The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.
The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.
At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise
The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?
Answers
Answer:
The new temperature is 13 degrees Fahrenheit
Step-by-step explanation:
Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
Answers
J=0.5J+13
0.5J=13
J=26
The answer would be John is 18 years old
What is:
5+5(5-5•5)-5 = ?
Answers
Answer:
-100
Step-by-step explanation:
= 10 (5 - 25) - 5
= 10 (-20) - 5
= (-2000) - 5
= -2005
The formula for the circumference of a circle is C=2 nr. What is the radius of a circle with a
circumference of 22 cm?
Answers
Answer:
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/2π .
Step-by-step explanation: hope this helped!
Answer:
The radius of the circle with circumference 22cm is 3.5 cm
Step-by-step explanation:
The circumference of circumference of a circle is the distance of its closed boundary.
The circumference of a circle with radius r is given by the formula:
[tex]C = 2\pi r[/tex]
Given
C = 22cm
Putting the values in the formula
[tex]22 = 2 * \frac{22}{7} * r\\22 = \frac{44}{7} * r\\r = \frac{7}{44} * 22\\r = \frac{7}{2}\\r = 3.5cm[/tex]
Hence,
The radius of the circle with circumference 22cm is 3.5 cm
Graph the equation.
y=2x+5
Answers
Answer: you can use the table of values. And just plug these in
Step-by-step explanation:
x values: -2, -1, 0, 1, 2
Y values: 1,3,5,7,9
You're welcome! :)
Sorry I couldn't insert a picture.
plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?
What is the y-intercept of the trend line?
Y=___X +___
Answers
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2
Find the value of x?
A.5/2\2
B.5
C.10
D.10/2
Answers
I think so
Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents the number of gumballs and jawbreakers Bob can buy.
Answers
Answer:8 gumballs 3 jaw breakers
Step-by-step explanation:
Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3
Given the Parameters :
Gumball cost, g = $0.50Jawbreaker cost, j = $0.30Maxumum amount to spend = $3.00(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) ≤ maximum cost
0.50g + 0.30j ≤ 3
Hence, the required inequality expression is 0.50g + 0.30j ≤ 3
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How do I solve this problem and check all the solutions?
Answers
Answer:
x-5=sqrt(2x+5)
then square both sides
x2-10x+25=2x+5
x2-8x+20=0
rest is trivial
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Given
x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )
- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )
[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )
2x + 5 = (x - 5)²
2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )
0 = x² - 12x + 20 ← in standard form
0 = (x - 2)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 2
2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5
Thus x = 2 is an extraneous solution
x = 10
10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side
Thus x = 10 is the solution
Solve the equation that represents: The difference of five times a number and 6 is -2.
Answers
Answer:
5n-6= -2
Step-by-step explanation:
The difference of...... this means its asking us to subtract one number from another number
5 times a number...... that means 5n
6..... since it said DIFFERENCE, it would be -6
is -2........ this means the answer to the equation is -2
So the equation is 5n-6= -2
Hope this helps!
Hellppp!!! I need help with the problem that the pencil is pointing ay
Answers
Answer:
8/3
Step-by-step explanation:
[tex](-2)^{3}[/tex]÷(-3)
Remember the order of operations,
1. parenthesis
2.exponenets
3. multiplication/ division
4. addition/ subtraction
[tex](-2)^{3}[/tex]÷(-3)
= -8 / -3
= 8/3
I tried tons of different solutions to this problem, and all of them come up with the answer I said. Hope this helps!;)
-38=-2(n+6)+6(3n+1) Can you please solve marking branlest show work
Answers
Answer:
n = -2
Step-by-step explanation:
-38 = -2n -12 +18n +6
-38 =16n -6
-38 +6 =16n
-32= 16n
n=-2
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.
6:1
18:3
3:18
1:6
Answers
Answer:
1/6
Step-by-step explanation:
The Law of Conservation of Mass states:
Question 10 options:
mass can be created but not destroyed
mass can't be created but can be destroyed
mass can't be created or destroyed
mass can be created and destroyed
please help me
Answers
Answer:
matter cannot be created or destroyed
Step-by-step explanation:
just read about this in my engineering homework
What is the domain and range please? Also is it a function?
Answers
Answer:
Once again, both are infinite. It is a function.
Step-by-step explanation:
can someone please help.. will mark brainliest !
Answers
Because it’s cost 12 to join then she has to pay a monthly fee of 20 dollars. So it will be 12+20x because you don’t know how many months they’ll be going. Then 4 to join 22 for monthly same thing as the first one so 4+22x giving you 20x+12=22x+4
20. D
The key word was each, you don’t know how many times a week they’ll be buying so the the X substitutes that in.
(Hope that makes sense)
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answers
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
Find X please
36/x=8/7
Answers
Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5
Very lost on this one! Anyone know?
Answers
Answer:
60
Step-by-step explanation:
In this case, all of the sides are equal. All sides should add up to 180 degrees.
x+x+x=180
180/3= 60
Rectangle JKLM undergoes a sequence of transformations, resulting in rectangle J’K’L’M’. The length of side K’L’ is 6 units. The coordinates of vertex K’ are (-3, 2), and the coordinates of vertex M’ are (3, -2). Describe a sequence of transformations to rectangle JKLM that would result in rectangle J’K’L’M’.
Answers
Answer:
J,F,K
Step-by-step explanation:
J,F,K
A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.
What is a rectangle?A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns.
Now, In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied.
The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units.
This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'.
Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis.
This will result in the length of side K'L' being 6 units.
Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2).
Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.
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what is the probability that Sophie draws a heart and then rolls either a 4 or 6
Answers
Answer:
Step-by-step explanation:
1/12
For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answers
Answer:
water : sucrose : saline = 1000 : 199 : 271
Step-by-step explanation:
Given Information:
water = 1 litreProcess:
convert everything to mL (same units)1 litre = 1000 mlwater = 1 litre = 1000 mlwater : sucrose : saline = 1000 : 199 : 271what is the shortest possible distance between the houses
Answers
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
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There were 42 mangoes in each crate. 12 crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were delivered to the factory? + Your answer. help asp
Answers
Answer:
50 mongoes
Step-by-step explanation:
42 x 12= 504 mangoes
504 - 4 = 500 mongoes
500/10= 50 mongoes
Which expression is a perfect cube?
mc013-1.jp g
mc013-2.j pg
mc013-3.j pg
mc013-4.jp g
Answers
Answer:
B on edge
Step-by-step explanation:
Got its right on the test
(B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex]
Perfect Cube:Numbers that are the triple product of the same number are known as perfect cubes. In other words, the value produced by multiplying a whole number by three times itself is a perfect cube. A number that may be expressed as three times the product of another integer is referred to as a perfect cube.Expression -An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.Therefore, the correct option is (B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex].
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URGENT HELP YALL WITH THIS. I WILL MARK YOU BRAINLIEST
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]
[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]
[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]
Collect like terms
[tex]25x + 35 = 360[/tex]
Subtract sides 35
[tex]25x + 35 - 35 = 360 - 35[/tex]
[tex]25x = 325[/tex]
Divide sides by 25
[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]
[tex]x = 13[/tex]
Thus ;
[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]
[tex]RQ \: \: arc = 10x + 30[/tex]
[tex]RQ \: \: arc = 10(13) + 30[/tex]
[tex]RQ \: \: arc = 130 + 30[/tex]
[tex]RQ \: \: arc = 160°[/tex]
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(7q - 6) (4q - 5) = 0
Answers
Answer:
q=30/31
To find:
q
Step-by-step explanation:
(7q - 6) (4q - 5) = 0
7q(4q - 5) + -6(4q - 5) = 0
7q × 4q - 7q × 5 - 6 × 4q + 6 × 5 = 0
28q - 35q - 24q + 30 = 0
28q - 59q + 30 = 0
-31q + 30 = 0
-31q = -30
q = -30/-31
q = 30/31
hope you understood:))
Which is the graph of the function f(x) = 1/2x2+2x-6?
Answers
Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
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