You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar. You use 16 cups of flour. How much sugar do you need?
Answers
Answer:
9
Step-by-step explanation:
Tell me if you want me to explain in the comments
There are 12 cups of sugar.
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;
You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar.
Now,
Let the number of cups of sugar for 16 cups of flour = x
So, By definition of proportion we get;
⇒ 4 / 3 = 16 / x
Solve for x as;
⇒ 16 / x = 4 / 3
⇒ 16 × 3 / 4 = x
⇒ 4 × 3 = x
⇒ x = 12
Thus, There are 12 cups of sugar.
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Related Questions
3 points Save Answer In a process industry, there is a possibility of a release of explosive gas. If the probability of a release is 1.23* 10-5 per year. The probability of ignition is 0.54 and the probability of fatal injury is 0.32. Calculate the risk of explosion
Answers
The risk of explosion in the process industry is 6.6594e-06 per year.
To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.
Step 1: Calculate the probability of an explosion.
The probability of a gas release per year is given as\(1.23 * 10^-^5\).
The probability of ignition is 0.54.
The probability of fatal injury is 0.32.
To calculate the risk of explosion, we multiply these probabilities:
Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury
Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32
Risk of explosion = 6.6594 *\(10^-^6\) per year
Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.
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To reserve a village hall costs 110 GBP plus 18 GBP an hour. How much does it cost to book the hall for 5 hours?
Answers
Answer:
£640
Step-by-step explanation:
110+18=128
128×5=640
answer is £640
The ratio of the number of hippos to the number of crocodiles at a watering hole is 4:3 .
Draw a double number line diagram that would show the number of crocodiles if there were 20 hippos
Answers
There were 15 crocodiles in the watering hole.
Since the ratio of the number of hippos to the number of crocodiles at a watering hole is 4:3, to show the number of crocodiles if there were 20 hippos, the following cross multiplication calculation must be performed:
Hippos 4: 3 crocodiles Hippos 20: X crocodiles 4 = 20 3 = X 3 x 20/4 = X 60/4 = X 15 = X
Therefore, there were 15 crocodiles in the watering hole.
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IS 3x+4=8x-9 one solution, no solution or infinitely Many
Answers
Answer:
One solution
Step-by-step explanation:
Seperate the like terms.
3x-8x=-9-4
-5x=-9-4
-5x=-13
x=13/5
The expression 3x + 4 = 8x - 9 has one solution.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
3x + 4 = 8x - 9
4 + 9 = 8x - 3x
13 = 5x
x = 13/5
This means,
It has one solution.
Thus,
The expression has one solution x = 13/5.
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I'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS
In the triangle shown, the ratio of the height to the length of the base is 3:4.
Chose True or False on A-C.
A. The area of the triangle is twice the area of a parallelogram with the same base and height
B. The height is 3/4 the base length.
C. The area is 8.64 mm²
Answers
Answer:
A. False
B. True
C. True
Step-by-step explanation:
A: Area of traingle = 1/2 × Base Length × Height
Area of parallelogram = Base Length × Height
Therefore, Statement A is False.
B: Base on the ratio for height to base length 3:4,
Statement B is True.
C: Base Length = 4.8 ÷ 4 × 3
= 3.6 mm
Area of Triangle = 1/2 × Base Length × Height
= 1/2 × 3.6 × 4.8
= 8.64mm²
Therefore, Statement B is True.
Please help I need to finish this in 2 days
Answers
The angle subtended at the center of the arc is 102⁰
What is the length of the arc?Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc. If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.
Lenght of arc = A/360 *2пr
A = angle at center = ?
п = 22/7 r = radius = 840 feet
⇒1500 = A/360 2 *22/7 * 840
1500 = 36960A/2520
3780000= 36960A
making A the subject we have
3780000/36960 = A
A = 102.27
A= 102⁰
The angle is 102⁰
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The Geocove city council thinks that the amount of time spent waiting to purchase admission to the waterpark will increase by 3. 5 minutes for each family group that joins the line. Which equation describes the total wait time ( y ) based on the number of family groups in the line ( x ) ?.
Answers
The linear equation that describes the total wait time(y) based on the number of family groups in the line(x) is given by:
\(y = 3.5x\)
A linear equation is modeled by:
\(y = ax + b\)
In which:
a is the slope, which is by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
If there are no people in the queue, the waiting time will be of 0, hence the y-intercept is \(b = 0\).For each purchase, the waiting time increases by 3.5 minutes, hence the slope is \(a = 3.5\).Hence, the equation is:
\(y = 3.5x\)
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Need help with my math please. 31-41.
Answers
Answer:
31: 98,765 x 9 + 3 = 888,888
32: 12.345 x 9 + 6 = 111,111
33: 3,367 x 15 = 50,505
34: 15,873 x 35 = 555,555
35: 33,334 x 33,334 = 1,111,155,556
36: 11,111 x 11,111 = 123,454,321
You skipped 37-39
40: 3 + 9 + 27 + 81 + 243 = 3(243-1)/2
41: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 = 1 - 1/32
Step-by-step explanation:
It's just patterns bro
plz help i been asking way too much and brainiest
Answers
Answer:
2 1/6 ft = 26 in
3 3/4 ft = 1 1/4 yrd
2 1/2 c = 1 1/4 p
3 2/3 yrs = 44 months
Step-by-step explanation:
Conversion:
ft to in = ft x 12
ft to yards = ft / 3
c to pints = c/2
yrs to months = y x 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
26 in, 1 1/4 yd, 1 1/4 pt, 44 months
Step-by-step explanation:
1ft=12in
12• 2 1/6=26in
3ft=1yd
3 3/4 ÷3= 1 1/4yd
2c=1pt
2 1/2 ÷ 2=1 1/4 pt
12months =1 year
3 2/3 • 12 = 44 months
a random sample of 64 sat scores of students applying for merit scholarships showed an average of 1200 with a standard deviation of 200. find the t value needed to develop the 95% confidence interval for the population mean sat score.
Answers
The t value needed to develop the 95% confidence interval for the population mean sat score is 1.998.
We are given the sample of 64 sat scores, which is n=64.
Average score is given as 1200.
Sample Standard deviation of sat scores is 200.
We have to find the t value to develop 95% confidence interval.
We will use t test, as population standard deviation is not known.
To find t value, first we will calculate the degrees of freedom,
Degrees of freedom, df=n-1
df=64-1
df=63
From the t table for df=63 and 95% confidence Level, we have the t value as 1.998.
Therefore, the t value needed to develop the 95% confidence interval for the population mean sat score is 1.998.
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given the parametric quations x=3t 5,y=sin2(5t) x=3t 5,y=sin2(5t) write the derivative dy/dxdy/dx as a function of tt .
Answers
The derivative dy/dx as a function of t is (10sin(5t)) / 3.
How we find the derivative dy/dxdy/dx as a function?The derivative dy/dx measures the rate of change of y with respect to x. In this case, we have the parametric equations x = 3t + 5 and y = sin²(5t). To find dy/dx, we first differentiate x and y with respect to t.
The derivative of x with respect to t is dx/dt = 3, as the derivative of 5t is 5. The derivative of y with respect to t is dy/dt = 10sin(5t), which results from applying the chain rule to sin²(5t).
Finally, we divide dy/dt by dx/dt to obtain dy/dx = (10sin(5t)) / 3. This represents the instantaneous rate of change of y with respect to x at any given t value, indicating how y changes as x varies.
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Find the total surface area of a cylinder. Use 3.14 for pi
1. 228.49 ft
2. 1,005.9 ft
3. 954 ft
4. 847.80 ft
5. 610.11 ft
6. 740.96 ft
Answers
Answer:
it is 847.80 ft
i done the quiz
Find the surface area and volume of each shape
Answers
A three-dimensional form's surface area is made up of the combined area of all of its faces.
What is meant by surface area?The entire area of all the faces makes up the surface area of a three-dimensional form. We measure the area of each face and add them to determine the shape's surface area.
A 3D shape's volume is the interior area. An object's three-dimensional surface area is the sum of all of its faces. The formula Volume = length, width, and height is used to determine a cuboid's volume.
The volume of an object is the amount of three-dimensional space that the object or shape takes up.
A 3D object's surface area is the entire area that all of its faces cover. For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. It is consistently expressed in square units.
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Total surface area of given cuboid 126 ft², Total surface area of cube given 62.08 ft². Total volume of given cuboid 140 ft³ , Total Volume of given cube 62.20 ft³.
What does surface area mean?
A three-dimensional form's surface area is made up of the combined area of all of its faces. To calculate the surface area of the shape, we measure the areas of each face and add them.
Volume is the internal space of a 3D form. The total number of faces on an object determines its three-dimensional surface area. The volume of a cuboid can be calculated using the formula Volume = length, width, and height.
The quantity of three-dimensional space that an object or form occupies is known as its volume.
The total area that all of a 3D object's faces enclose is referred to as surface area. If we need to figure out how much, for example, the surface area of a cube is its surface area.
1. Total surface area of cuboid = 2(lb + bh + hl)
= 2(8×5 + 4×5 + 8×4)
= 2(92)
= 184 ft³
Total surface area of hollow cuboid = 2(1×5 + 4×5 + 1×4) = 58 ft³
Total surface area of given cuboid = 184 - 58 = 126 ft²
Volume of cuboid = l × b × h = 8 × 5 × 4 = 160 ft³
Volume of hollow cuboid = 1 × 4 × 5 = 20 ft³
Total volume of given cuboid = 160 - 20 = 140 ft³
2. Total surface area of cube = 6a² = 6 × 5 × 5 = 150 ft²
Total surface area of hollow cylinder = 2πr(r + h)
= 2 × 3.14 × 2 (2 + 5) = 87.92 ft²
Total surface area of cube given = 150 - 87.92 = 62.08 ft²
Volume of cube = a³ = 5³ = 125 ft³
Volume of hollow cylinder = 2πrh = 2 × 3.14 × 2 × 5 = 62.80 ft³
Total Volume of given cube = 125 - 62.80 = 62.20 ft³
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What is a rate? I will mark Brainiest
Answers
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
An optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.
True
False
Answers
True. An optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.
This statement is a fundamental result of linear programming known as the Extreme Point Theorem, which states that the optimal solution to a linear programming problem always occurs at one of the extreme points (or vertices) of the feasible region. This is because the objective function in a linear programming problem is a linear combination of the decision variables, and the values of the decision variables at the extreme points are the only ones that determine the objective function value at that point. Therefore, any solution that is not at an extreme point can always be improved by moving towards an adjacent extreme point, until an optimal solution is reached.
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HELP THIS IS WORTH 100 POINTS WILL GIVE BRAINLIEST LMK
Answers
Answer:
Line l could also be called line FE
Step-by-step explanation:
Any line can be named using two points on that same line
Evaluate the line integral integral ∫C(3x−y)ds, where C is the quarter-circle x2+y2=9 from (0, 3) to (3, 0).
Answers
We can parameterize the quarter-circle C by using the parameter t to represent the angle that the line connecting the point (3, 0) and the point on the circle makes with the x-axis. So, the line integral ∫C(3x−y)ds = 9.
To evaluate the line integral ∫C(3x−y)ds, where C is the quarter-circle x^2 + y^2 = 9 from (0, 3) to (3, 0), we need to parameterize the curve and compute the integral.
1. Parameterize the curve: For the quarter-circle, we can use polar coordinates. Since x = r*cos(θ) and y = r*sin(θ), we have:
x = 3*cos(θ)
y = 3*sin(θ)
where θ goes from 0 to π/2 for the given quarter-circle.
2. Compute the derivatives:
dx/dθ = -3*sin(θ)
dy/dθ = 3*cos(θ)
3. Find the magnitude of the tangent vector:
|d/dθ| = sqrt((dx/dθ)^2 + (dy/dθ)^2) = sqrt(9*(sin^2(θ) + cos^2(θ))) = 3
4. Substitute the parameterization into the integrand:
(3x - y) = 3(3*cos(θ) - 3*sin(θ))
5. Evaluate the line integral:
∫C(3x−y)ds = ∫₀^(π/2) (3*(3*cos(θ) - 3*sin(θ)))*3 dθ = 9 ∫₀^(π/2) (cos(θ) - sin(θ)) dθ
Now, we can integrate with respect to θ:
= 9 [sin(θ) + cos(θ)]₀^(π/2) = 9 [(sin(π/2) + cos(π/2)) - (sin(0) + cos(0))] = 9 * (1 - 1 + 1) = 9.
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one ticket costs $8. if you have $56, how many tickets can you buy?
please show work if it’s possible!!:)
Answers
Answer:
7
Step-by-step explanation:
because 56 divided by 8 = 7
or 7 x 8 = 56
hope this helps?
if its right can i have brainlist?
:')?
Answer:
You can buy 7 tickets
Step-by-step explanation:
56 devided by 8 is 7
Help pls help pls help pls help pls help pls
Answers
Answer:
Domain: -2 < x ≤ 3
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:
(-2, 3] or -2 < x ≤ 3
Answer:
ramen is the true answer to lifes problems
Step-by-step explanation:
If h(x) = 7x + 5 and g(x) = 4x + 26, find x when h(x) = g(x)
Answers
Given:
h(x) = 7x + 5
g(x) = 4x + 26
At h(x) = g(x), we get:
h(x) = g(x)
7x + 5 = 4x + 26
7x - 4x = 26 - 5
3x = 21
3x/3 = 21/3
x = 7
Therefore, x = 7
A clothesline rope is 8 feet long. Which of these is another way to express 8 feet?answer choicesA/FB/GC/HD/J
Answers
As per the concept of fraction, we can express 8 feet as 2 ²/₃ yards.
The term fraction refers to the numerical values which are a part of the whole.
8 feet can be expressed in another way.
In order to convert to a yard measurement, we divide the length by the conversion ratio.
Here we know that 1 yard = 3 feet
=> yards = feet ÷ 3
Here we have calculated the measurement of 8 feet.
So, the equivalent yard measurement is expressed as,
=> yards = 8/3
When we convert it into mixed fraction form, we get,
=> 2 ²/₃ yards.
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The complete question is:
F) 2*1/3 yards G) 2*1/2 yards H )2*2/3 yards J )2*3/4 yards. A clothesline rope is 8 feet long. Which of these is another way to express 8 feet? answer choices -A/FB/GC/HD/J
a rope 20.6 meters long is cut into two pieces. if the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rop
Answers
Length of longer piece of rope is 11.7 m.
Define Equation.
A mathematical statement known as an equation is one that places the symbol "equal to" between two expressions with the same values. In any mathematical equation, we have LHS = RHS (left hand side = right hand side). Equations can be solved to find the value of an unknown variable that represents an unknown quantity.
Given data-
Length of a rope = 20.6 m
First piece of rope is 2.8 shorter than other.
As rope is cut into two pieces
Let the first piece of rope be x m and second piece of rope be (x - 2.8) m.
As per the given data, we can create an equation
x + (x - 2.8) = 20.6
2x - 2.8 = 20.6
2x = 23.4
x = 11.7
Length of first piece of rope is 11.7 m
Length of second piece of rope = (x - 2.8)
= 11.7 - 2.8
= 8.9 m.
Length of longer piece of rope is 11.7 m.
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Simplify this expression:
13x+2y-10x-7y
Answers
Answer:
3x-5y
Step-by-step explanation:
⇒13x+2y-10x-7y
arrange the like terms together
⇒13x-10x-7y+2y
⇒3x-5y ...answer
hope that helps...
Each hot chocolate at Cocoa Land costs $3.25. Chris has $36.99 to buy chocolate and to pay for a music album to listen to while he studies math. The music album costs $9.99. Which inequality can be used to determine how many hot chocolates, h, Chris can buy?
Answers
Answer:
Step-by-step explanation:
i REALLY need answers, like if you see this PLEASE answer it
Answers
Find the rate of change of y with respect to x if dy dx x²y-5+2 ln y = x³
Answers
The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.
To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.
First, let's differentiate each term separately using the rules of differentiation.
Differentiating x²y with respect to x gives us 2xy using the product rule.
To differentiate 5, we know that a constant has a derivative of 0.
Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.
Differentiating x³ gives us 3x² using the power rule.
Now, we can rewrite the equation with its derivatives:
2xy - 2/y * dy/dx = 3x²
To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:
2xy = 2/y * dy/dx + 3x²
To isolate dy/dx, we move the term 2/y * dy/dx to the other side:
2xy - 2/y * dy/dx = 3x²
2xy = 2/y * dy/dx + 3x²
2/y * dy/dx = 2xy - 3x²
Now, we can solve for dy/dx by multiplying both sides by y/2:
dy/dx = (2xy - 3x²) * (y/2)
Simplifying further, we have:
dy/dx = xy - (3/2)x²y
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if f(x) = f(g(x)), where f(−2) = 2, f '(−2) = 2, f '(0) = 2, g(0) = −2, and g'(0) = 3, find f '(0). f '(0) =
Answers
Using the chain rule, Therefore, f'(0) = 2.
Using the chain rule, we can take the derivative of both sides of the equation f(x) = f(g(x)) to obtain :
f'(x) = f'(g(x)) * g'(x)
substitute x = 0, we get:
f'(0) = f'(g(0)) * g'(0)
We are given that g(0) = -2 and g'(0) = 3. Therefore, we need to find g(0) and g'(0) in order to determine f'(0).
To do this, we can use the fact that f(x) = f(g(x)). Substituting x = 0 into this equation, we get:
f(0) = f(g(0))
Since f(-2) = 2, we have:
f(g(0)) = f(-2)
Using the chain rule, we can take the derivative of both sides of the equation f(x) = f(g(x)) with respect to x to obtain:
f'(x) = f'(g(x)) * g'(x)
substitute x = -2, we get:
f'(-2) = f'(g(-2)) * g'(-2)
We are given that f'(-2) = 2 and g'(-2) = 3. Therefore, we can solve for f'(g(-2)):
f'(g(-2)) = f'(-2) / g'(-2) = 2/3
Since f'(x) = f'(g(x)) * g'(x), we can substitute g(0) = -2 and f'(g(-2)) = 2/3 into the equation f'(0) = f'(g(0)) * g'(0) to obtain:
f'(0) = f'(g(0)) * g'(0) = f'(g(-2)) * g'(0) = (2/3) * 3 = 2
Therefore, f'(0) = 2.
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use v-o keys to navigate.last year a state senate consisting of only republican and democrat members had 20 more republican members than democrat members. this year the senate has the same number of members as last year, but it has 2 fewer republican members than last year. if this year the number of republican members is 2 3 the number of senate members, how many members does the senate have this year?
Answers
The senate has 4+22 = 26 members this year.
Let x be the number of Democrat members in the senate.
Last year, the number of Republican members was x+20
This year, the number of Republican members is (x+20) - 2 = x+18
This year, the number of members in the senate is 2/3*(x+18) = 2/3*x+12
So the number of members in the senate this year is x+12
To find the value of x, we can use the fact that the number of members in the senate this year is the same as last year.
x + (x + 20) = x + 12
x+x+20 = x + 12
2x = 8
x = 4
So the senate has 4 Democrat members and x+18 = 4+18 = 22 Republican members.
Therefore the senate has 4+22 = 26 members this year.
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A cylindrical can holds three balls. The balls touch the top, bottom and sides of the can. The radius of one ball is 6 cm. Find the volume of the remaining space inside the cylinder. Use 3.14 for π. please someone help me.
Answers
Answer:
16286.01632
Step-by-step explanation:
V=πr2h=π·122·36≈16286.01632
Doug consumes two goods, X and Y. His utility function is given
by
u(X, Y)= X+lnY
The price of X is $1 and the price of Y is $2. He has income of
$150 to spend. What is his optimal amount of Y?
Answers
Doug's optimal amount of Y is 75 units found using the utility function.
The optimal amount of Y for Doug is 75 units as per his utility function, u(X, Y) = X + ln Y.
The price of good X is $1 and the price of good Y is $2 and Doug has an income of $150 to spend.
Doug's aim is to maximize his utility subject to his budget constraint.
Let X and Y be the number of units of goods X and Y that Doug purchases respectively.
Then we can write Doug's utility function as:u(X, Y) = X + ln Y
The total amount that Doug spends is:
PₓX + PᵧY = $150
where Pₓ and Pᵧ are the prices of X and Y respectively.
Substituting Pₓ = $1, Pᵧ = $2 and solving for X, we get:
X = $150 - 2Y
Since we want to maximize Doug's utility function, we differentiate it with respect to Y and set it equal to zero, i.e.,
du(X, Y)/dY = 0
Differentiating u(X, Y) = X + ln Y with respect to Y gives:
du(X, Y)/dY = 1/Y
Therefore, at the optimal level of Y, we have:
1/Y = 0
Solving for Y, we get:
Y = 1/0 which is undefined.However, we know that Doug's budget constraint has to hold, i.e.,
PₓX + PᵧY = $150.
Substituting Pₓ = $1 and Pᵧ = $2, we get:
X + 2Y = 150
Substituting X = $150 - 2Y in the above equation and solving for Y gives:
150 - 2Y + 2Y
= 150Y
= 150/2Y
= 75
Therefore, Doug's optimal amount of Y is 75 units.
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