Daquin finished 30% of his homework in 27 minutes. How many minutes will it take him to finish the rest of his homework?.

Raphael could finish the job in 3/2 hr = 90 min. Matilde could finish the job in 3 hr.

Let M denote for matilde

R for Raphael.

I assume they worked on the task together to finish it in 1 hr.

M does 1/M of the job per hr.

R does 1/R of the job per hr.

(1/M + 1/R) * x hr = 1 whole job completed

We are told x = 1 hr, so that's done.

We are told M's rate of work is 1/2 of R's

R's rate of work is 1/R

1/2 * 1/R = 1/2R

substitute 1/2R for 1/M

(1/2R + 1/R) * 1 hr = 1 whole job completed

solve

(R+ 2R)/ 2R^2 = 1

3R /2R^2 = 1

3R = 2R^2

2R^2 -3R = 0

R(2R-3) = 0

R = 0 or 2R = 3

However, if R could do the work in 0 hours, then his rate of work would be undefined.

Therefore, we select 2R = 3, which means R= 3/2.

R can do the whole job in 3/2 hr working alone.

M can do the whole job in 2*3/2 = 3 hr working alone.

We can check this solution to be sure it is correct.

In 1 hr, R can do 2/3 of the job.

In 1 hr, M can do 1/3 of the job

2/3+1/3 = 1.

We also can substitute in the original equation as double-check.

(1/3 + 1/(3/2))*1 = 1 ??

(1/3 + 2/3) = 1

Answer: R could finish the job in 3/2 hr = 90 min. M could finish the job in 3 hr.

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Answer:

125%

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.

Hope that helps

Have a good day :)

Answer:

D. Yes, because it passes the vertical line test

Yes, the graph represent a function because it passes the vertical line test, option D is correct.

The vertical line test is a criterion used to determine if a graph represents a function.

According to the vertical line test, if any vertical line intersects the graph in more than one point, then the graph does not represent a function.

In other words, for a graph to represent a function, every input (x-value) must correspond to exactly one output (y-value).

If the graph fails the vertical line test, it means that there is at least one x-value that has multiple corresponding y-values, which violates the definition of a function.

As we observe the graph every x value has a unique y value, so it represents a function.

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35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of black tea worth 1.80 per pound to be mixed to get the final mixture for 2.10 per pound, hence:

2.4(35) + 1.8(x) = 2.1(x + 35)

x = 35 pounds

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

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Answer:

39.9

Step-by-step explanation:

Pls give brainlest if correct.

   *Answer*:39.9

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:   Rounding to the nearest hundred is 800 Rounding to the nearest ten is 840 Rounding to the nearest one is 838 Rounding to the nearest tenth is 838.3 Rounding to the nearest hundredth is 838.27  

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:   Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be. Look to the next smallest place value, the digit to the right of the place value you're rounding to.

Therefore, the answer is C. 39.9

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Answer:

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Step-by-step explanation:

Answer:

-9/2 , -2 , 1/2 , 3.605551275 , 4.2

Step-by-step explanation:

A)  You are painting 5 faces, four sides and the bottom, of the pool because you are not painting the top of the pool.

B) Surface Area = 104 square meters

C) The paint with cost $624 total. $104 times 6 square meters equals $624.

Now, According to the question:

The given data is:

A swimming pool is 8 meters long 6 meters wide and 2 meters deep the water resistant paint need for the pool cost $6 per square meter.

A) You are painting 5 faces, four sides and the bottom, of the pool because you are not painting the top of the pool.

B) You need 104 square meters to paint the pool.

Assuming the pool is a rectangular prism, use the surface area equation:

SA = wl + 2(hl) + 2(hw)

Note: Do not include times 2 for wl because we are only including the bottom of the pool.

l = 8 meters

w = 6 meters

h = 2 meters

SA = (6)(8) + 2((2)(8)) + 2((2)(6))

SA = 104 square meters

C) The paint with cost $624 total. $104 times 6 square meters equals $624

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Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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7 5 35

-- X -- = -----

1 6 6

hope it helps

7 =7/1

Multiplying Fractions is easy . numerator times numerator and denominator times denominator. then simplify if possible

Answer:

35/6

Step-by-step explanation:

7×5/6

35/6

based on the principle of mathematical induction, we conclude that \(2^{n}\) > \(n^{2}\) for all n greater than 4.

By using mathematical induction, we can prove that \(2^{n}\) > \(n^{2}\) for all n greater than 4.

Base case (n = 5):

When n = 5, we have \(2^{5}\) = 32 and \(5^{2}\) = 25. Since 32 is indeed greater than 25, the inequality holds for n = 5.

Inductive step:

Assuming the inequality holds for some positive integer k: \(2^{k}\) > \(k^{2}\), we need to show that it also holds for k + 1: \(2^{(k+1) }\) > \((k+1)^{2}\)

Starting with the left-hand side:

\(2^{(k+1) }\) = 2 × \(2^{k}\)

Using the inductive assumption, we can rewrite it as:

\(2^{(k+1) }\) > 2 ×\(k^{2}\)

Now let's consider the right-hand side:

\((k+1)^{2}\) = \(k^{2}\) + 2k + 1

We want to show that 2 × \(k^{2}\) > \(k^{2}\) + 2k + 1.

Simplifying the inequality, we have:

\(k^{2}\) - 2k - 1 > 0

By analyzing the quadratic function f(k) = \(k^{2}\) - 2k - 1, we find that it is positive for all k greater than 4.

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After answering the given query, we can state that  Consequently, the equation equation that could be used to find x is as follows: 1,542 + 55x ≤ 2,188

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. Through a mathematical statement, algebraic equations show that two mathematical expressions are equal. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. To comprehend the relationship between the two lines written on the opposing edges of a letter, use a mathematical formula. The logo and the specific program tend to correspond most of the time. An illustration would be 2x - 4 = 2.

1,542 + 55x ≤ 2,188

Here, x is the maximum amount of fruit bars he can consume without going over his daily calorie limit. In order to find x, first take 1,542 off of both sides of the inequality:

55x ≤ 646

Next, we can split the inequality's two sides by 55:

x ≤ 11.75

We round down to: since we can't consume even a small portion of a fruit bar

x ≤ 11

Consequently, the equation that could be used to find x is as follows:

1,542 + 55x ≤ 2,188

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(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

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Answer:

89=13.5n=8    89-8=13.5n   81=13.5n   81/13.5=13.5n/13.5     6=n

Step-by-step explanation:

Answer:

6...I believe

Step-by-step explanation:

Answer:

\(\Huge \boxed{\boxed{x = 2}}\)

Step-by-step explanation:

Let \(x\) be the number that Alice started with. We can set up the following equation to represent the situation:

\(5(11 - x) = 45\)

To solve for \(x\), first divide both sides of the equation by 5:

Now, add \(x\) to both sides of the equation:

Subtract 9 from both sides:

So, the number that Alice started with was 2.

________________________________________________________

Answer:

Alice started with the number 2.

Step-by-step explanation:

Let's call the number that Alice started with \(x\).

According to the problem, Alice first subtracts \(x\) from \(11\):

\(\large\qquad\qquad\qquad{11 - x}\)

She then multiplies this result by 5 to get 45:

\(\large\qquad\quad{5(11 - x) = 45}\)

Simplifying the equation, we have:

\(\large\qquad\quad{55 - 5x = 45}\)

Subtracting 55 from both sides, we get:

\(\large\qquad\qquad{-5x = -10}\)

Dividing both sides by -5, we get:

\(\large\qquad\qquad\boxed{\boxed{\bold{\:\:x = 2\:\:}}} \)

\(\therefore\) Alice started with the number 2.

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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The expected difference is 0.17

A supermarket is a self-service store with various food, drink, and household goods options divided into categories. While this type of store is bigger and has a wider variety of products than older grocery stores, it is smaller and offers a smaller selection of goods than a hypermarket or big-box market. Fresh meat, produce, dairy, deli foods, baked goods, etc. may usually be found in the store.

Additionally, shelf space is set aside for canned and packaged goods as well as a variety of non-food items like pet supplies, cleaning supplies, cookware, and household cleansers.

The table is: 0 1 2 3

x1 0 0.08 0.06 0.04 0.00

1 0.05 0.18 0.05 0.03

2 0.05 0.04 0.10 0.06

3 0.00 0.03 0.04 0.07

4 0.00 0.01 0.05 0.06

Expected difference =

+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))

= 0.17

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Answer:

B 5.5 I had it on a exit ticket and I got it right

Step-by-step explanation:

Answer: slope = 3

Step-by-step explanation: 3x - y = 24

                                             3x - 3x -y = 24 -3x

                                             -y = -3x + 24

                                              -y/-1 = -3x + 24/1

                                               y = 3x - 24

Arrange in in fraction form

3225.52

8

Divide both the numerator and denominator by the highest number of tend

3225.52 x. 100

8. 100

322552

800

=403.19

Answer:71

Step-by-step explanation:

71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5

A number system is defined as a system of writing to express numbers.

Given that a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively.

We need to find the number.

In division there are three parts the divider, dividend, quotient, and remainder.

Let us find the LCM of 8,9 and 6

LCM of 8, 9,6 is 72

72-1=71

Hence, 71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

The value of C such that the function is a probability density function is 5/384.To be a probability density function (pdf), a function must satisfy two conditions that are:

Non-negativity : A pdf must be non-negative at all points in its domain.

Therefore, if the domain of a function is x ∈ [0, 8], then it must have positive values at all points in this interval. The function should be zero everywhere else.Integrates to 1: The area under the curve of a pdf over its entire domain must be 1.  Therefore, we need to find the value of C such that the area under the curve over the domain [0,8] equals to 1.

Now, let's find the value of C so that the function can be a density function.

∫\(0 8 C x^{1.5} dx = 1∫0 8 C x^{1.5} dx = (2C/5) x^{2.5} ∣0 8= (2C/5)(8^{2.5} − 0) = 1= > C = 5/384\)

To summarize, the value of C such that the function is a probability density function is 5/384.

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Hooke's Law is a principle in physics that states that the force required to extend or compress a spring by some distance is proportional to that distance. In other words, the more you stretch or compress a spring, the more force it will take, and the proportionality constant between force and distance is called the spring constant.

To find the constant k, we can use the given information that when the mass is 10 kg, the spring stretches 6 cm:

l(10) = k(10) + b

6 = 10k + b

To find the constant b, we can use the given information that when the mass is 0 kg, the spring stretches 50 cm:

l(0) = k(0) + b

50 = 0 + b

Substituting the value of b into the equation for l(10), we get:

6 = 10k + 50

-44 = 10k

k = -4.4

Therefore, the function rule is:

l(w) = (-4.4)w + 50

To find the mass of an object in the pan if the spring is stretched to a length of 65 cm, we can substitute l = 65 into the equation for l(w):

65 = (-4.4)w + 50

15 = (-4.4)w

w = 15/(-4.4)

w = 3.409090909090909

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Answer:

B.(3.0)

Step-by-step explanation:

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