You need 2 tablespoons of vinegar for every 1 tablespoon of oil.
What are a ratio and proportions?
A ratio is a way of comparing two or more values by division. A ratio expresses a relationship between two or more quantities. It is a comparison of one quantity to another. For example, the ratio of 3:2, 3 is being compared to 2.
A proportion is an equation that states that two ratios are equal. It can be written as:
a/b = c/d or a:b = c:d, where a,b,c,d are numerical values.
The ratio of tablespoons of vinegar to tablespoons of oil in the salad dressing is given by the ratio of the number of tablespoons of vinegar to the number of tablespoons of oil.
In this case, the ratio is 22 tablespoons of vinegar to 11 tablespoons of oil, or 22/11.
You can simplify this ratio by dividing both numerator and denominator by their greatest common divisor, that is 11
So the ratio of tablespoons of vinegar to tablespoons of oil is 2:1
Another way to express this is that for every 1 tablespoon of oil, 2 tablespoons of vinegar are needed.
So, If you want to know how many tablespoons of vinegar are needed for every tablespoon of oil you can use the proportion:
vinegar/oil = 22/11 = 2/1
Hence, you need 2 tablespoons of vinegar for every 1 tablespoon of oil.
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sec 330 find the exact value in simplest form with a rational denominator
Answer:
[tex]\implies \sec 3 30^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
An ice-hockey puck measures 3 inches from one side to the other straight across the middle. To the nearest tenth, what is the area of the flat upper surface?
Answer:
7.1 [tex]in^{2}[/tex]
Step-by-step explanation:
The surface of an ice-hockey puck is shaped as a circle. This means that the surface area of this circle is calculated by the following formula
A= [tex]\pi r^{2}[/tex]
If the measurement of one side to the other is 3 inches, this would be the diameter. The radius is half of the diameter, so in this scenario, it would be 1.5 inches. We can now plug this value into the formula and solve for the surface area.
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi 1.5^{2}[/tex]
A = [tex]\pi * 2.25[/tex]
A = 7.068 or 7.1 [tex]in^{2}[/tex] (rounded to the nearest tenth)
Is this correct? if not, tell me what is the correct answer
Answer:
I think this is right
Step-by-step explanation:
Ron and Ben had a total of 700 playing cards. After Ron gave away 40% of his playing cards and Ben gave away 20% of his playing cards, they each had an equal number of cards. How many more picture cards did Ron have than Ben at first?
Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes. At this rate, how long would it take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
Step-by-step explanation:
To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.
To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.
So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.
To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.
Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.
To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:
(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)
Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)
So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.
The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone can meet the full power requirement of the vessel. The engine of each set has a malfunction probability of 25% and the generator of 10%. In case one set breaks down there is a 50% probability of it being repaired but it will run again only if repaired and its subsystems do not further malfunction upon startup. Calculate the probability of an electric power outage shipboard.
Answer:
probability of an electric power outage shipboard is 0.075 or 7.5 %
Step-by-step explanation:
Given the data in the question;
Probability of engine malfunction = 25% = 0.25
Probability of generator malfunction = 10% = 0.1
Probability of generator being repaired = 50% = 0.5
probability of an electric power outage shipboard = ?
To get the probability of an electric power outage shipboard, we use the expression;
probability of an electric power outage = 2[tex]_c_1[/tex] × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )
so we substitute in our given values;
probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )
probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75
probability of an electric power outage = 0.075 or 7.5 %
SOMEONE HELP
Find sinD, sinE, cosD, and cosE. Write each answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
sinD = opposite/hypotenuse = 12/15 = 4/5
cosD = adjacent/ hypotenuse = 9/15 = 3/5
sinE = opposite/hypotenuse = 9/15 = 3/5
cosE = adjacent/ hypotenuse = 12/15 = 4/5
In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group.
a. Do the sample data provide convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using α = .01.
b. Would it be reasonable to generalize the conclusion from Part (a) to all working women? Explain why or why not.
Answer:
Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No ;
Step-by-step explanation:
n = 1000
x = 545
Phat = x / n = 545/1000 = 0.545
H0: p ≤ 0.5
H1: μ > 0.5
The test statistic :
(phat - p0) ÷ √(p(1 - P0) / n)
Test statistic :
(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)
0.045 / 0.0158113
Test statistic = 2.846
α = 0.01
Decison :
Reject H0 ; if Pvalue < α
Using the Pvalue from Test statistic (Z) calculator :
Pvalue = 0.002214
With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular
five less than four times a number is greater than or equal to 3. Is 2 a solution?
The statement five less than four times a number is greater than or equal
to 3 indeed has a solution results to 2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A statement five less than four times a number is greater than or equal to 3.
Let, The unknown number be 'n'.
Therefore, The numerical form of the statement is,
4n - 5 ≥ 3.
4n ≥ 8.
n ≥ 2.
So, Yes 2 is a solution.
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Determine where the graph of the given function is concave upward and concave downward. Find the coordinates of all inflection points.
g(t) = t^2 - 27/t
The coordinates of the inflection points are (3, 0) and it concave upwards
How to determine the coordinates of the inflection points.From the question, we have the following parameters that can be used in our computation:
g(t) = t^2 - 27/t
Express properly
So, we have
g(t) = t² - 27/t
Calculate the second derivative
So, we have
g''(t) = 2 - 54/t³
Set the differentiated equation to 0
2 - 54/t³ = 0
So, we have
2t³ = 54
Divide by 2
t³ = 27
Take the cube roots
t = 3
Substitute t = 3 in g(t) = t² - 27/t
g(3) = 3² - 27/3
g(3) = 0
This means that the inflection point occurs at t = 3 and the coordinates of the inflection point are (3, 0)
How to determine the point of concave upward and concave downwardRecall that
g''(t) = 2 - 54/t³
Next, we check if the second derivative exist at t = 0,
g''(0) = 2 - 54/0³
g(0) = undefined
The undefined value implies that the graph has a vertical inflection point at t = 0
And as such, the graph of the function is concave upward
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Identify two segments that are marked congruent to each other on the
diagram below. (Diagram is not to scale.)
The two congruent segments in the figure are LJ and LI.
What is congruency?
The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
In the figure, the two segments marked are LI and LJ these two segments are congruent to each other.
Congruency means the shape and the size of the segments will be equal to each other.
Hence, the two congruent segments in the figure are LJ and LI.
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4. There are 36 units in a case. You have 90 loose units of stock in the store. The store manager has requested a stock count in CASES. How many cases of stock will 90 units fill? CALCULATION:
There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.
What is the inventory process like?Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.
Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.
90/36 = 2.5
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What is the value of x?
Answer:
23
Step-by-step explanation:
The given two triangles are congruent , by SSS congruence condition , therefore the corresponding sides will be equal .
=> x - 4 = 19
=> x = 19 + 4
=> x = 23
5,000 x 300,000 +50 -300 +4,200 x 2 - 5 x 255 =
Answer:
1500006875
Step-by-step explanation:
Multiply 2 numbers at a time
Juan bought n packs of pencils. Each pack has 15 Write an equation to represent the total number of pencils p that Juan bought.
Answer:
15*n=p
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINEST
if two ratios are equal they form a ____
Answer:
proportion
Step-by-step explanation:
6. Solve to find the missing number.
3/12 ?/4
a) 1
b) 3
c) 9
(d) 8
Answer:
1 IS THE CORRECT ANSWERStep-by-step explanation:
SOLVE..
3/12=?/4
or,(3×4)/12=?(cross muntiply )
or,1=?
therefore 1 is yhe reguired ans..
Need help please need to turn in before 12!!?!?! Anything will help?
904.32 is the volume.
Volume of sphere
= (4/3)πr³
= (4/3) × 3.14 × (6cm)³
= (4/3) × 3.14 × 6cm × 6cm × 6cm
= 4 × 3.14 × 2cm × 6cm × 6cm
= 904.32 cm³
Answer:
IT IS EASY FORMULAE OF SPHERE IS 4/3πr³ so,
Step-by-step explanation:
put the value,
= 4/3 * 3.14 * 6³
= 1.333 * 3.14 * 216
= 4.18562 * 216
= 904.09 cm³ ans
formulae of radius = d/2 = 12/2 = 6cmvalue of π(pi) = 3.14
The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.
200.96 square inches
175.84 square inches
100.48 square inches
25.12 square inches
Answer: D
Step-by-step explanation: 25.12
Answer: The actual answer is (175.84 square inches)
Step-by-step explanation:
First, find the area of the pizza.
You need to use the formula for area of a circle: A = πr^2
or in words, the area of a circle is equal to pi times radius to the second power.
So find the radius which is half the diameter.
The diameter is 16 inches, so the radius is 8 inches.
Now raise 8 to the second power, meaning that you need to times 8 by 8
(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)
That is the area of the entire pizza.
But you still need to find how many square inches are left after 1/8 is eaten.
If 1/8 is eaten, then that means the pizza is divided into eighths.
Take 200.96 and divided that by 8 to find how much the individual pieces are.
200.96/8 = 25.12
But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84
Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right
Here is a photo from my test:
Have a good day
Find f(g(x)) f(x)= 2x^2-4x-6. G(x)= 2x+7
if functions f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)
What is a function?A relation is a function if it has only One y-value for each x-value.
Given functions are f(x)= 2x²-4x-6
g(x)=2x+7
We need to find expression of f(g(x))
f(g(x))=f(2x+7)
Now replace x with 2x+7 in f(x)
f(2x+7)=2(2x+7)²-4(2x+7)-6
=2(4x²+49+28x)-8x-28-6
Apply distributive property
=8x²+98+56x-8x-28-6
Add the like terms
=8x²+48x+64
f(g(x))=8(x+2)(x+4)
Hence, if functions f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)
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Calculate the state income tax owned on a 40,000 per year salary
Answer:
The state income tax to be paid will be $ 2,300.
Step-by-step explanation:
Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:
40,000 x 5.75 / 100 = X
230,000 / 100 = X
2,300 = X
Therefore, the state income tax to be paid will be $ 2,300.
The following table shows the coordinates for a triangle and the coordinates for its image. The triangle is mapped
onto its image by a dilation. Draw the triangle and its image on a coordinate plane.
Pls help! Thanks
Answer:
Th (0,0)
the centre of dialation
Help
F
Fmfnddjdhhdhd
Answer:
B) 1
Step-by-step explanation:
65 (1) +1 = 66
80 (1) = 80
66 + 80 = 146
assignment due to be submitted on Monday. please solve this. please show every step in solving this.
in a pie chart tho population of men is 90° , women 120° and. children 150°,with a population of 3000. find the total population and number of men , number of women.
La cena de Aubrey cuesta $85. Ella deja 30% de propina por el exelente servicio ¿Cuánto dejó Aubrey de propina?
Answer:
$25.50
Step-by-step explanation:
85 X 0.3 (30%)=25.5
$25.50
Given that sinθ = 2/5 and 0 < θ < 90, what is the exact value of cscθ?
Please select the best answer from the choices provided
Answer:
5/2
Step-by-step explanation:
cscθ = 1/sinθ = 1/(2/5) = 1 x (5/2) = 5/2
We know,
[tex] \boxed{sin( \theta) = \frac{1}{csc( \theta)} }[/tex]
So,
=》
[tex] \dfrac{2}{5} = \dfrac{1}{ \csc( \theta) } [/tex]
=》
[tex] \csc( \theta) = \dfrac{5}{2} [/tex]
A parabola has the following properties.
200R
Vertex at (-2, 1)
Directrix is x = 5
A
Which equation represents this parabola?
0 (x + 2) = (y – 112
O 28(x + 2) = (y - 1)2
o-28(x + 2) = (y - 1)2
O - (x + 2) = (y – 1)
Answer:
-28(x + 2) = (y - 1)²
Step-by-step explanation:
..............
The equation (y + 1)² = -12(x - 2) represents the given parabola.
What is a parabola?
A parabola is a U-shaped plane curve. It is assumed to be mirror symmetrical. A parabola is produced by the intersection of a right circular cone and a plane parallel to the cone.
The vertex is at (-2, 1) and the directrix is x = 5.
Therefore, the vertex of the given parabola is at 2nd quadrant.
Again, the directrix is also parallel to the y-axis.
As a result, the parabola will open towards the left.
The general form of a parabola is (y - k)² = 4a(x - h)
Here, h and k are x and y coordinates respectively of the vertex.
Now, the coordinates of the focus are (h + a , k) and the directrix is at x = h − a.
Therefore, h - a = 5 (as, x =5)
⇒ 2 - a = 5
⇒ a = -3
Therefore, the equation of the parabola is (y − k)² = 4a(x − h)
⇒ [y - (-1)]² = 4(- 3)(x - 2)
⇒ (y + 1)² = -12(x - 2)
The equation of the parabola that has a vertex (2 , -1) and a directrix
of x = 5 is (y + 1)² = -12(x - 2)
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what's the area of this shape? i need to hand it in by tomorrow 7:00 AM EST time. please show the work
Answer:
hope this helped
Step-by-step explanation:
What is the difference between a subset and a proper subset?
{5,8}
{2,5,8}
Is {5,8} a subset of {2,5,8}? please explain.
Answer:
A subset is when all of the elements in the subset are in the actual set. A proper subset is a subset which the actual set has at least on more element than the proper subset.
Step-by-step explanation:
For example, Set A, {1,2,3} is a subset of B {1,2,3}. But Set C, {1,2} is a proper subset of B. Set {5,8} is a subset of {2,5,8}.
1/2x(4+6)+9 (prob EZ but i keep get 5 diff answers :/)
Answer:
5x+9
Step-by-step explanation:
Answer:
I got 14
Step-by-step explanation: