For a given recipe, 16 cups of flour are mixed with 8 cups of sugar. How many cups of flour should be used if 12 cups of sugar are used?

The percent error of Brandi’s estimate to the nearest tenth is equal to 2.9%.

In Mathematics, percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental value (numerical) differs from the actual (theoretical) numerical value.

Mathematically, percentage error can be calculated by using this expression;

Percent error = {experimental value - actual value}/{actual value} × 100

By substituting the given parameters into the percentage error formula, we have;

Percent error = {107 - 104}/{104} × 100

Percent error = 3/104 × 100

Percent error = 0.029 × 100

Percent error = 2.9%.

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Answer: 2 hours and 30 minutes

Step-by-step explanation:

Answer:

60 sopomores

Step-by-step explanation:

Let X denote the event prefer amusement park on a field trip

The probability that a sophomore will opt for a class trip to an amusement park would be 8/20 = 2/5 based on survey results

P(X) = 2/5

Based on this probability, if the number of sophomores is 150 then expected number of sophomores who prefer the amusement park trip

E(X) - P(X) x N where N is the total number of sophomores

E(X) = 2/5 x 150 = 60

Answer:

Step-by-step explanation:

If the product of two rational numbers is 4/25, we can write the equation:

(x) * (-6/5) = 4/25

where x is the other number.

Expanding the equation:

x * -6/5 = 4/25

Multiplying both sides by 5 to get rid of the fraction on the right-hand side:

5 * x * -6/5 = 5 * 4/25

x * -6 = 4

Dividing both sides by -6:

x = -4/-6

x = 4/6

So, the other number is 4/6.

Answer:

So the other number is -[tex]\frac{4}{3}[/tex].

Step-by-step explanation:

Let x be the number.

We know,

(-[tex]\frac{6}{5}[/tex]) × x = [tex]\frac{4}{25}[/tex]

-[tex]\frac{6}{5}[/tex] × x =  [tex]\frac{4}{25}[/tex]          (By expanding the left side of the equation)

Dividing both sides by -[tex]\frac{6}{5}[/tex]

x = - [tex]\frac{4}{25}[/tex]  × -[tex]\frac{6}{5}[/tex]

After simplifying the equation ,

x = -[tex]\frac{4}{3}[/tex]

So the number is -[tex]\frac{4}{3}[/tex].

By applying the slope of the function at that point, linear approximation provides an estimate of the value of a function close to a beginning point.

When estimating the value of a function at a nearby location, linear approximation uses the slope of the function at a particular position. In order to arrive at the starting position, it first calculates the difference between the two points, multiplies it by the slope, and adds it. This provides a rough estimate of the function's value at the new location. A technique for calculating a function's value close to a beginning point is called linear approximation. It is predicated on the notion that a linear function can be used to roughly approximate the function close to the point of interest. This indicates that the value of the function at surrounding places can be inferred from the slope of the function at the point in question.

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Answer:

14)37

15)16

16)38

17)C

Step-by-step explanation:

14)7*4+9=28+9=37

15)42/7+10=6+10=16

16)-5*(-6)+8=30+8=38

Answer:

y = 4n + 5

Step-by-step explanation:

y is your output and n in your input

y = 4n + 5

When the input is 1, the out put is 9

y = 4n + 5

y = 4(1) + 5

y = 4 + 5

y = 9

When the input is 2, the output is 13

y = 4n + 5

y = 4(2) + 5

y  = 8 + 5

y = 13

And so on and so on....

If the sum of 3 consecutive even numbers is 114, we can represent the numbers as x, x+2, and x+4.

The sum of the three numbers is:

x + (x+2) + (x+4) = 3x + 6

We know that the sum is 114, so we can set up the equation:

3x + 6 = 114

Subtracting 6 from both sides gives:

3x = 108

Dividing both sides by 3 gives:

x = 36

Therefore, the three consecutive even numbers are 36, 38, and 40.

Answer:

37, 38, 39

Step-by-step explanation:

let the 3 consecutive numbers be

n , n + 1 , n + 2

then summing and equating to 114

n + n + 1 + n + 2 = 114

3n + 3 = 114 ( subtract 3 from both sides )

3n = 111 ( divide both sides by 3 )

n = 37

n + 1 = 37 + 1 = 38

n + 2 = 37 + 2 = 39

the 3 consecutive numbers are 37 , 38 , 39

Answer: 83 3/5

Step-by-step explanation:

hope this helps !! :3

Answer: r = 5

Step-by-step explanation:

The amount of sales tax due on the entire purchase of a set of speakers and s songs is $2.89 plus $16.09 for each song purchased, rounded to the nearest hundredth.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, and/or operators that represents a mathematical quantity or relationship. It can be a single number or variable, or a combination of multiple numbers, variables, and operators.

The given expression 0.0825(35+195s) represents the amount of sales tax due on the entire purchase of a set of speakers and s songs, where s is the number of songs purchased.

Expanding the expression, we get:

0.0825(35+195s) = 0.0825(35) + 0.0825(195s)

= 2.8875 + 16.0875s

Rounding this expression to the nearest hundredth, we get:

2.89 + 16.09s

Therefore, the amount of sales tax due on the entire purchase of a set of speakers and s songs is $2.89 plus $16.09 for each song purchased, rounded to the nearest hundredth.

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Answer:

The aeroplane will fly 2000 km if travelling at the same average speed.

Step-by-step explanation:

To calculate the distance an aeroplane will fly in 2 h 30 min if it flies 1400 km in 1 h 45 mins, use the Speed Distance Time formula.

[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]

There are 60 minutes in one hour.  Therefore:

To calculate the speed of the aeroplane, divide the distance by the time it takes to travel that distance.  Therefore, if an aeroplane flies 1400 km in 1.75 hours then its average speed is:

[tex]\sf Speed=\dfrac{1400\;km}{1.75\;h}=800\;km/h[/tex]

To determine the distance the aeroplane will travel in 2.5 hours, multiply the found speed of 800 km/h by the time:

[tex]\sf Distance=800\;km/h \times 2.5\;h=2000\;km[/tex]

Therefore, the aeroplane will fly 2000 km in 2 h 30 min if travelling at the same average speed.

The value of x and y is 13.5 and 7.

we have two set of equations as follows,

x + y = 20.5     ....[1]

x - y = 6.5       .....[2]

from equation [1] we have,

x +y = 20.5

x = 20.5 - y       .....[3]

put the value of x in equation [2]

x - y = 6.5

20.5 - y -y = 6.5

20.5 - 2y = 6.5

now like terms together ,

-2y = 6.5 -20.5

-2y = -14

now the minus sign cancel by each other,

2y = 14

y = 14/2

y = 7

now, put the value of y in equation [1]

x +y =20.5

x + 7 = 20.5

x = 20.5 - 7

x = 13.5

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Answer:

Both have the same median but set A has a larger mean.

Step-by-step explanation:

You're welcome.

Answer:

10%

Explanation:

You increased it by 5% twice, which is basically 5+5 or 5x2 which equals 10

A. The probability of no nap is 0.390625, one nap is 0.234375 and two naps is 0.156250. B. The probability of zero naps is 0.152587890625, one nap is 0.3076171875, and two naps is 0.146484375. C. The probability of no nap is 0.02734375, one nap is 0.14453125, and two naps is 0.271484375. D. The probability of no naps decreases as the mean number of naps increases.

A. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of no nap (x=0) is 0.390625, one nap (x=1) is 0.234375, and two naps (x=2) is 0.156250.

B. We can calculate the probability of zero naps, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of zero naps (x=0) is 0.152587890625, one nap (x=1) is 0.3076171875, and two naps (x=2) is 0.146484375.

C. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is eight, so the probability of no nap (x=0) is 0.02734375, one nap (x=1) is 0.14453125, and two naps (x=2) is 0.271484375.

D. We can see from the answers in (b) and (c) that the probability of no naps decreases as the mean number of naps increases, suggesting that a Poisson random variable follows a decreasing probability distribution.

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Answer:

The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. If the diameter of each circular light is 7 inches, the radius would be half of that, or 3.5 inches.

Therefore, the area of one circular light would be:

A = π * 3.5^2 = 3.5^2 * π = 12.25 * π square inches.

Since there are three circular lights, the total area of all three would be:

3 * 12.25 * π = 36.75 * π square inches.

Step-by-step explanation:

pls mark brainlist

To determine if a line is parallel or perpendicular, we can place each line on a sloped intersection shape (y = mx + b) and observe the slope m of each line. Equal slopes result in parallel lines. If the slope is multiplied by -1, then the line is vertical.

Parallel Lines:

Two or more lines that lie in the same plane and do not intersect are called parallel lines. They are equidistant from each other and have the same slope. A straight line equation is usually written in the form of a slope intercept represented by the equation y = mx + b. where "m" is the slope and "b" is the y-intercept. The "m" value defines the slope and tells how steep the line is.

Perpendicular Lines:

A vertical line or perpendicular line is two separate lines that intersect at an angle of 90° to each other. These are straight lines known as perpendiculars that meet each other at certain angles (right angles).

We have already seen what a vertical line looks like. If a shape has an "L" shape, its vertex angles are right angles. Vertical lines always intersect each other, but not all intersecting lines are always perpendicular to each other.

Two main properties of vertical lines:

1. Perpendicular lines always intersect or intersect each other.

2. The angle between two vertical lines is always 90°.

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One serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.

Lemonade is a sweetened beverage made from lemon juice, water, and sugar. It is typically served cold, and may also include other ingredients such as fruit, herbs, or carbonated water. Lemonade is a popular summer drink that is enjoyed in many parts of the world.

First, we can find the amount of water per serving in Hayden's lemonade by dividing the total amount of water (2.25 cups) by the number of servings (9 people):

Water per serving in Hayden's lemonade = 2.25 cups / 9 = 0.25 cups per serving

Next, we can find the amount of water per serving in Christian's lemonade by dividing the total amount of water (3.75 cups) by the number of servings (10 people):

Water per serving in Christian's lemonade = 3.75 cups / 10 = 0.375 cups per serving

To find how much more water is in one serving of Christian's lemonade compared to one serving of Hayden's lemonade, we can subtract the water per serving in Hayden's lemonade from the water per serving in Christian's lemonade:

Water per serving difference = 0.375 cups per serving - 0.25 cups per serving = 0.125 cups per serving

Therefore, one serving of Christian's lemonade has 0.125 cups more water than one serving of Hayden's lemonade.

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Answer: Approximately 226 miles

Step-by-step explanation:

Km. to Mi.

364 = 226

The given functions f(x) = 3x + 6 and g(x) = (x+5)/3 are not inverses of each other, as their compositions of functions are not equal.

When we want to check if two functions are inverses of each other, we need to verify if composing the functions in both orders results in the input variable. In other words, we need to check if (f ∘ g)(x) = x and (g ∘ f)(x) = x, where f and g are the two functions.

For this problem, we have two functions:

f(x) = 3x + 6

g(x) = (x + 5)/3

Let's start by computing (f ∘ g)(x):

(f ∘ g)(x) = f(g(x)) = f((x + 5)/3) = 3((x + 5)/3) + 6

We can simplify this by canceling the 3's:

(f ∘ g)(x) = x + 5 + 6 = x + 11

Now let's compute (g ∘ f)(x):

(g ∘ f)(x) = g(f(x)) = g(3x + 6) = ((3x + 6) + 5)/3

Again, we can simplify this by canceling the 3's:

(g ∘ f)(x) = (3x + 11)/3

We can see that neither (f ∘ g)(x) nor (g ∘ f)(x) is equal to x, so we can conclude that the functions f(x) = 3x + 6 and g(x) = (x + 5)/3 are not inverses of each other.

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The required number of letters to code for 1510 products is given as 7 letters.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets.

Here,
There are 3 possibilities for a letter,
Suppose we need n letters
so 3ⁿ > 1510

Since we need to code for 1510 products that means 3ⁿ must be greater than 1510
So
3⁶ < 1510
3⁷>1510

Thus, the required number of letters to code for 1510 products is given as 7 letters.

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Answer:

Step-by-step explanation:

in: mi

3:2

5:x

3*1.6667=5

2*1.6667=3.3334/

becaus the first answer was rounded up, the last one needs to be rounded down.

so the answer, rounded up to the nearest hundredth is 3.34

(rounded up to the nearest whole number is 3)

Answer:

y = (4/3)x - 2

Step-by-step explanation:

y intercept is (0, -2)

slope is 4/3

In the preceding equation the measure of the smallest angle is 52° in length.

Internal angles 2 and 3 are alternate options. Two angles that share a vertex and a side but no interior points in common. two angles that don't have any shared interior points but do have a common vertex and side.

We know that a triangle has 180 angles altogether.

So, 2x + 3x - 11 + 2x + 9 = 180

7x - 2 = 180

7x = 180 + 2

x = 182 / 7

x = 26

Now, magnitude of angles = 2x = 2(26) = 52  [ Smallest ]

3x - 11 = 3(26) - 11 = 78 - 11 = 67  [ Largest ]

2x +9 = 2(26) + 9 = 52 + 9 = 61

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The largest square that Mr. Stanley can use to plant in his farm is a square with a side length of 8 meters.

To find the greatest common factor of 24 and 40, we can list the factors of both numbers and find the highest factor that they have in common:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The highest factor that 24 and 40 have in common is 8.

Factors are numbers that can be multiplied together to get a given number. For example, the factors of 6 are 1, 2, 3, and 6 because 1 x 6 = 6 and 2 x 3 = 6. Factors can be prime or composite. Prime factors are those that are only divisible by 1 and themselves. Composite factors are those that have more than two factors.

Factors are important in math because they can be used to simplify fractions, find common denominators, and solve equations. They also play a crucial role in number theory and cryptography, where they are used to encrypt and decrypt messages. 150 is a composite number, which means it has factors other than 1 and itself. The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. To find these factors, you can divide 150 by each number smaller than it and see if the remainder is 0.

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Answer:

4(4x+1)

Step-by-step explanation:

16x+4
Factor out 4,
4(4x+1)

if a t test yields p > 0.05 the null hypothesis would normally be option (A) accepted

The null hypothesis defined as the types of hypothesis that do not have any statistical significance exist in the given set of observation.

The p value is defined as the measurement that is used to validate the hypothesis using the observed data. The range of the p value varies from zero to one.  Zero means no chance and 1 means absolute certainty  

If a t test yields a p-value greater than 0.05, it means that there is insufficient evidence to reject the null hypothesis, and the results are not statistically significant. Therefore, the null hypothesis is accepted.

Therefore, the correct option is (A) accepted

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