I NEED THIS FAST!

You have two fractions with denominators of 3 and 10. What number should you use as the least common denominator if you want to add them?

Answer:

• 85% protein supplement: 480 pounds

• 60% protein ration: 720 pounds

Explanation:

Let the number of pounds of 85% protein supplement required = x

The farmer wants to make 1200 pounds (of a high-grade 70% protein ration).

Therefore, the number of pounds of 60% protein ration required = (1200-x) lbs

First, we add the constituents we are mixing together.

The final protein ration we want to obtain:

Equate both:

Then solve the equation for x.

The number of pounds of the 85% protein supplement he should use is 480 pounds.

The number of pounds of the 60% protein ration he should use is 720 pounds.

As the number of degrees of freedom become large, the t distribution actually approaches the normal distribution, not

the binomial distribution. The correct answer is false.

The t distribution is used when the sample size is small and the population standard deviation is unknown, while the

binomial distribution is used for discrete data where there are only two possible outcomes.

The binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of

independent trials with a constant probability of success, whereas the t distribution is a continuous probability

distribution that models the variability of sample means from a normal population.

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Victor has 2/3 pound of sugar left after baking cakes and cookies for the bake sale.

Victor uses 6/7 of the sugar to bake cakes, which means he has 1 - 6/7 = 1/7 of the sugar left. The amount of sugar left can be calculated as:

1/7 * 7 pounds = 1 pound

Now Victor uses 1/3 of the remaining 1 pound of sugar to bake cookies. The amount of sugar he uses to bake cookies is:

1/3 * 1 pound = 1/3 pound

Subtracting the amount of sugar used to bake cookies from the amount of sugar left, we get:

1 pound - 1/3 pound = 2/3 pound

Therefore, Victor has 2/3 pound of sugar left after baking cakes and cookies for the bake sale.

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Answer: 480

Step-by-step explanation:

300 In Account

15% of 300 = 45

45x4= 180

300+180= 480

Answer:

If Natalie had simple interest: $180

If Natalie had compound interest: $224.70

Step-by-step explanation:

Simple Interest.

P(1 +rt)

300(1 + 0.15 x 4) = 480

480 - 300 = 180

Compound interest.

P(1 + r/n)^nt

300(1 + 0.15)^4 = 524.70

524.70 - 300 = 224.70

The probability that the mean score of the 49 seniors is greater than 20 is 0.0516. To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with any distribution will approach a normal distribution as the sample size increases.

First, we need to find the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. We can use the formula SEM = σ / √n, where σ is the population standard deviation, and n is the sample size.

In this case, σ = 6.0 and n = 49, so SEM = 6.0 / √49 = 0.857.

Next, we need to standardize the sample mean using the z-score formula: z = (x - μ) / SEM, where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.

In this case, x = 20, μ = 18.6, and SEM = 0.857, so z = (20 - 18.6) / 0.857 = 1.63.

Finally, we need to find the probability that a standard normal distribution is greater than 1.63, which is 0.0516 when rounded to 4 decimal places.

Therefore, the probability that the mean score of the 49 seniors is greater than 20 is 0.0516.

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We have a total of 36 members, of which 10 are males.

Then, we can calculate the number of females as:

We can calculate the ratio of females to males as:

The ratio of females to males is 13:5, meaning that there are 13 females per each group of 5 men.

Answer: 13:5.

Answer:

JN = 10 in

Step-by-step explanation:

the volume (V) of a triangular prism is calculated as

V = Ah ( A is the area of the triangular base and h the height )

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = JL = 7 , h = KM = 6 , then

A = \(\frac{1}{2}\) × 7 × 6 = \(\frac{1}{2}\) × 42 = 21 in²

given V = 210 with h = JN , then

21 JN = 210 ( divide both sides by 21 )

JN = 10 in

Answer:

328 yards

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the question all the angles are on a a straight line which means the sum of their angles is 180 and one of the angles is 90°

So to find m \( \angle\) 6 , add

m \( \angle\) 5 and 90 and subtract the result from 180°

That's

m\( \angle\)5 + m\( \angle\)6 + 90 = 180

m\( \angle\)6 = 180 - 90 - m\( \angle\)5

m\( \angle\)6 = 180 - 90 - 22

We have the final answer as

Hope this helps you

In the question, a lines & angles diagram is provided, and we can see three angles labelled here. The angles are angle 5, angle 6 and a 90°.

GiveN,

We have to find the measure of the missing angle 6...

All the three angles are lying on a staright line, so their collective measure or the sum of these 3 angles is equals to 180°.

➝ Angle 5 + Angle 6 + 90° = 180°

➝ 22° + Angle 6 + 90° = 180°

➝ Angle 6 + 112° = 180°

➝ Angle 6 = 68°

So, the measure of Angle 6:

\( \huge{ \boxed{ \bf{68 \degree}}}\)

And we are done !!

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Answer:

this is true, just count by five four times

Step-by-step explanation:

To determine the maximum height reached, we can use the given quadratic function y = x - x². By finding the vertex of the parabola, we can identify the maximum point, which corresponds to the student's highest position.

For the bonus point, we need to calculate the distance at which the center of the net should be placed so that the student lands in the center. By considering the x-coordinate of the vertex, we can determine this distance.

a) The maximum height of the student can be found by identifying the vertex of the quadratic function y = x - x². The vertex of a quadratic function in the form y = ax² + bx + c is given by the coordinates (-b/2a, f(-b/2a)). In this case, a = -1 and b = 1, so the x-coordinate of the vertex is -(-1)/(2*-1) = 1/2. Substituting this value into the function, we find the maximum height: f(1/2) = 1/2 - (1/2)² = 1/4.

b) To determine the distance at which the center of the net must be placed for the student to land in the center, we need to find the x-coordinate of the vertex. In this case, the x-coordinate is 1/2. Since the net is centered, the distance from the center of the net to either side is equal. Therefore, the distance the center of the net must be placed is also 1/2.

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Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

\(2xy^5\)

Step-by-step explanation:

6= 3*2

Divide 3

\(2x^6y^7/x^5y^2\)

\(x^6/x^5=x\)

\(y^7/y^2=y^5\)

2xy^5

Answer:

2xy⁵

Step-by-step explanation:

6x⁶y⁷                                                                                                                          -----------                                                                                                                         3x⁵y²                                                                                                                    

=  6x⁶y⁷                                                                                                                       -----------                                                                                                                    3x⁵y²  

=  6xy⁵                                                                                                                         ----------                                                                                                                       3    

=2xy⁵

------- = division

The value of result in the following expression will be 0 if x has the value of 12:

result = x > 100 ? 0 : 1.

The expression given is known as a ternary operator.

It's a short form of if-else.

The ternary operator is written with three arguments separated by a question mark and a colon:

`variable = (condition) ? value_if_true : value_if_false`.

Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100)  {  result = 0; }  else {  result = 1; }

As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.

Hence, the answer is `0`.

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Answer:

A - B - C

Step-by-step explanation:

In step 2 addition property is used.

2x + (1 ÷ 4) - (3 ÷ 5)x = 55 ÷ 4

Simplifying x,

2x - (3 ÷ 5)x - (1 ÷ 4) = 55 ÷ 4

(10x - 3) ÷ 5 - (1 ÷ 4) = 55 ÷ 4

(7x ÷ 5) - (1 ÷ 4) = 55 ÷ 4

Add (1 ÷ 4) on both sides,

(7x ÷ 5) - (1 ÷ 4) + (1 ÷ 4) = 55 ÷ 4 + (1 ÷ 4)

(7x ÷ 5) = (55 + 1) ÷ 4

(7x ÷ 5) = 56 ÷ 4

Multiplying (5 ÷ 7) on both sides,

(7x ÷ 5) × (5 ÷ 7) = (56 ÷ 4) × (5 ÷ 7)

x = 10

In step 2 - Add (1 ÷ 4) on both sides, the addition property is being used.

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Answer:

its c step three

Step-by-step explanation:

The substitution to express the integrand as a rational function is u = x and the value of the integral is 81 ln |x-4| + C.

The given integral is ∫ 81x/(x-4) dx.

Let u = x.

The derivative of u = x is du/dx = 1.

We can write dx = du.

Substituting these in the given integral, we get;∫ 81x/(x-4) dx=∫ 81u/(u-4) du = 81 ∫ du/(u-4)

The above integral can be integrated by the method of substitution.

Let v = u - 4dv/dx = 1, we have dv = dx

We can substitute the value of v in the integral.

∫ 81 du/(u-4) = 81 ∫ dv/v = 81 ln |v| + C,

where C is the constant of integration.

Putting the value of v, we have:81 ln |u-4| + C = 81 ln |x-4| + C, where C is the constant of integration.

Therefore, the substitution to express the integrand as a rational function is u = x and the value of the integral is 81 ln |x-4| + C.

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Answer:

11x+4y-9

Step-by-step explanation:

add like terms

3x+8x=11x

5y-y=4y

11x+4y-9

Answer:

\(11x+4y-9\\\)

Step-by-step explanation:

1) Remove parentheses.

\(3x+5y+8x-y-9\)

2) Collect like terms.

\((3x+8x)+(5y-y)-9\)

3) Simplify.

\(11x+4y-9\)

Answer:

1

Step-by-step explanation:

{(0, 0), (1,−1), (2,−4), (3,−9), (4,−16)}

Answer:

i believe the answer would be B

Step-by-step explanation:

The equation obtained for Kim will be t = x/2

Equation obtained for Jake will be t = (x - 6)/1.5

As for the problem, Kim and Jake are competing in the big race. And the values of their speed are given below.

Kim moves at a 2-meter-per-second running pace.

Jake moves at a 1.5 meter per second running pace (3 meters per 2 seconds)

Jake gets 6 meters ahead of Kim.

To get equations for the same case to both persons we should get it as,

Let x be the complete race distance and t be either Kim's or Jake's total race time.

Time = Speed/Distance

Kim's time equation is t = x/ 2.

The time equation that Jake uses is t = (x - 6)/1.5.

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Answer:

<8=66°

Step-by-step explanation:

2 angles on a straight line will add up to 180° so

180-114=66.

<8,<4, <1, <5 all equal 66° since vertical angles are equal

The slope of the function y = 4x^(1/2) + 6x^(1/3) - 8 when x = 8 is 1.

To find the slope of the function y = 4x^(1/2) + 6x^(1/3) - 8 at a specific point, we need to take the derivative of the function with respect to x and evaluate it at that point.

Taking the derivative of y with respect to x, we have:

dy/dx = (4 * (1/2)x^(-1/2)) + (6 * (1/3)x^(-2/3))

Simplifying this expression, we get:

dy/dx = 2x^(-1/2) + 2x^(-2/3)

Now, substitute x = 8 into the derivative:

dy/dx = 2(8)^(-1/2) + 2(8)^(-2/3)

Simplifying further, we find:

dy/dx = 2/4 + 2/8

dy/dx = 1/2 + 1/4

dy/dx = 2/4 + 1/4

dy/dx = 3/4

Therefore, the slope of the function y = 4x^(1/2) + 6x^(1/3) - 8 when x = 8 is 1.

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Solution:

The solution for this equation is -1/2.

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Here we go ~

\(\qquad \sf  \dashrightarrow \: 6 {}^{ - 2x + 1} = 36\)

\(\qquad \sf  \dashrightarrow \: {6}^{ - 2x + 1} = {6}^{2} \)

now, let's apply logarithm on both sides with base (6)

\(\qquad \sf  \dashrightarrow \: log_{6}( 6 {}^{ - 2x + 1} ) = log_{6}( {6}^{2} ) \)

According to properties of logarithm, the exponent on the number come out and it's written as a product of exponent times the logarithm.

that is :

\( \sf [ log_{a}(b {}^{n} ) = n \times log_{ a }(b) ]\)

\(\qquad \sf  \dashrightarrow \: ( - 2x + 1) \times log_{6}(6) = 2 \times log_{6}(6) \)

now, as we know : when the base and argument of log are same, then value of log is 1

\(\qquad \sf  \dashrightarrow \: - 2x + 1 = 2\)

\(\qquad \sf  \dashrightarrow \: - 2x = 2 - 1\)

\(\qquad \sf  \dashrightarrow \: - 2x = 1\)

\(\qquad \sf  \dashrightarrow \: x = - \dfrac{1}{2} \)

Carlos harvests cassavas at a constant rate. He needs 353535 minutes to harvest a total of 151515 cassavas.

The ratio of the change in dependent values or outputs to the change in independent values or inputs is known as the rate of change. The change, which also refers to the function's slope, represents the shift in values between two points on a coordinate plane. The formula for the rate of change is (y2 - y1)/, where y stands for the dependent variable and x for the independent variable (x2 - x1).

Given:

Carlos gives  353535 minutes to harvest a total of 151515 cassavas.

Find:

We have to find the total number of cassavas.

Solution:

Carlos harvests cassava at constant rate is 353535 minutes per 151515 cassavas

= 151515/353535

= 0.429

A formula for the quantity of cassava (C) that Carlos harvests each time (T).

This means that after 353535 minutes, 151515 cassavas have been harvested, after 700000 minutes, 300000 cassavas, and so on.

Hence, the required constant rate is 0.429T.

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645/2=322.5 cakes on each table

hope this helps!

Answer:24-25a

Step-by-step explanation:

Answer:

\(y = 40\cdot k\)

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

\(y \propto x\)

\(y = k \cdot x\)

Where \(k\) is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

\(y = 40\cdot k\)

Answer:

The first answer is ''y=45 x''

1800 people for the second one

The height of the triangle is 8 inches and the width is 7 inches.

Let's start by using the formula for the area of a triangle:

A = (1/2)bh

where A is the area of the triangle, b is the base, and h is the height.

We are given that the area of the triangle is 28 square inches, so we can write:

28 = (1/2)bh

Next, we are given that the height h is six less than twice the width w. In other words:

h = 2w - 6

Now we can substitute this expression for h into the formula for the area:

28 = (1/2)bw(2w - 6)

Simplifying this equation, we get:

56 = bw(2w - 6)

28 = w(w - 3)

w^2 - 3w - 28 = 0

We can solve this quadratic equation using the quadratic formula:

w = [3 ± √ (\(3^2\) - 4(1)(-28))] / 2

w = [3 ± √ (121)] / 2

w = (3 + 11) / 2 or w = (3 - 11) / 2

w = 7 or w = -4

Since a negative width doesn't make sense in this context, we can ignore the second solution and conclude that the width of the triangle is 7 inches.

Now we can use the expression for h in terms of w to find the height:

h = 2w - 6

h = 2(7) - 6

h = 8

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