A class was given 9(whole number) 1/2 litres of juice to share equally. If there are 36 pupils in the class, how many millilitres of juice will each student get?​

Answer:

7

Step-by-step explanation:

Do the brackets first

X+8= 8x

X+8= 8x

then you plus 8x + 8x =16x

16x -9 =7x

Answer:

In an arithmetic sequence, each term is obtained by adding the common difference to the previous term. In this case, the common difference is 3, so the formula for the nth term of the sequence can be written as:

a^n = a^1 + (n-1) * d

where a^1 is the first term of the sequence, and d is the common difference.

Since the first term of the sequence is -25 and the common difference is 3, we can plug these values into the formula to find the 30th term of the sequence:

a^30 = (-25) + (30-1) * 3

= (-25) + 29 * 3

= (-25) + 87

= 62

Therefore, the 30th term of the sequence is 62.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees

The value of x is 85 degrees

A triangle is a polygon which has  three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.

here, we have,

How to determine the value of x

The total  sum of angles for a triangle is 180 degrees.

So, we have:

x + 35 + 60 = 180

Evaluate the sum

x + 95= 180

Subtract 95 from both sides

x = 85

Hence, the value of x is 85 degrees

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Full question: (SAT Prep) Find the value of x. 35° 60° X

x=?​

The acceptable and realistic ways to to change the confidence interval to contain zero are;

Reasons:

The confidence interval is given by the following formula;

\(CI=\bar{x}\pm t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\)

When the mean, \(\overline x\), is positive and large, both values, \(\bar{x}+ t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), and \(\bar{x} -t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), will be positive.

Therefore, Martha has to either intervene to reduce the mean also known as x-bar

Increasing the confidence level will increase the allowable error such that \(\bar{x} < t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}\), and the interval will contain zero

Therefore;

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Answer:

-3

Step-by-step explanation:

Solving the first part: 8+(-3):

As we know, a + and a - together result in a single -.

So, 8+(-3) is the same as 8-3, which is equal to 5.

Similarly, solving the second part: 5+(-8):

We can simplify this to 5-8 which gives us -3.

Therefore, your final answer will be -3.

Hope this helps!

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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Answer:

Parellel lines

Step-by-step explanation:

Parellel lines would look like this:-

_____________________

_____________________

Hope this Helps :)

We can use the formula for the monthly payment of a loan to calculate the amount we need to pay each month:

M = (P * r * (1+r)^n) / ((1+r)^n - 1)

Where:

M = the monthly payment

P = the principal (the amount borrowed)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of months in the loan term (which is the number of years multiplied by 12)

Plugging in the given values, we get:

P = $3825

r = 15% / 12 = 0.0125

n = 4 years * 12 = 48 months

M = ($3825 * 0.0125 * (1+0.0125)^48) / ((1+0.0125)^48 - 1)

M ≈ $94.87

Therefore, the monthly payment will be approximately $94.87.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

shown below

Step-by-step explanation:

Look at the white squares, count them. 1, 2, 3. the next will be 4 and 5. draw 4 white squares, then house it in black squares like the others. to know if u did it right, count the black squares, there should be 8, then 9.

Answer:

Step-by-step explanation:

You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.

Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.

The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:

Cost of bananas = AED 7.35 * 1.4 = AED 10.29

The total cost of apples is given by the equation:

Cost of apples = $10.20 * x

The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:

Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15

Substituting the known values, we have:

(10.29 + 10.20 * x) / (1.4 + x) = 8.15

Cross-multiplying and simplifying, we get:

10.29 + 10.20 * x = 8.15 * (1.4 + x)

Expanding the equation, we have:

10.29 + 10.20 * x = 11.41 + 8.15 * x

Rearranging the equation, we get:

10.20 * x - 8.15 * x = 11.41 - 10.29

1.05 * x = 1.12

Dividing both sides by 1.05, we find:

x = 1.12 / 1.05

x ≈ 1.067

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The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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You can assess normality of data using D. Pearson's Measure of Normality

Pearson's Measure of Normality, also known as Pearson's Test for Normality, is a statistical test that is used to assess whether a set of data is normally distributed.

It is based on the skewness and kurtosis of the data, and it provides a p-value which indicates the probability that the data is from a normal distribution. Pearson's test is considered as one of the most common statistical test used to check normality of data.

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The full question is:

You can assess normality of data using A. Pearson's Index of Skewness B. Pearson's Test C. Pearson's p-value D. Pearson's Measure of Normality

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Answer:

22 1/2

Step-by-step explanation:

Answer: 61 degrees

Step-by-step explanation:

A triangle has an internal angle sum of 180. So subtract 67 and 52, and you get x which is 61 degrees.

Answer:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

Then if the radius of the circle is R = 4*x^3

The area of this circle will be:

A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2

Here you need to remember that:

(a^n)^m = a^(n*m)

Then the area of the circle is:

A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6

So the monomial that represents the number of square units in the area of the circle is:

A(x) =  50.24*x^6

Answer:

x=10.39,y=9

Step-by-step explanation:

steps are in the picture

Answer:

4 hours

Step-by-step explanation:

6 × 2 = 12

12 ÷ 3 = 4

4 hours is the correct answer

Glad I could help:)

Answer: A

because slope are

Answer:

46 minutes.

Step-by-step explanation:

2/3 of an hour = 40 minutes.

So....5 hours 40 minutes.

294 minutes is 6 minutes shy of 5 hours. (300 minutes)

40 + 6 = 46 minutes

Answer:

The 2nd option is correct

Step-by-step explanation:

The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.

Answer:

Imma have to say B but I'm not sure

Answer:

Amadi: 20 years old

Chima : 4 years old

a=34.697, only one triangle is formed.

And B=40°.7'

A≈77°.79'.So, option A is correct.

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.

Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Given,

C​=61° 50, c​=31.2, b=23.6

Sine rule:

sin B/b=Sin C/c

sin B=b sin C/c

=(23.6 sin 61° 50)/31.2

sin B=0.65219

sin B=139.3

A+B+C=180

A=180-B-C

A=180-139.3-61.50

A= -20.8 which is not possible.

Because the angle must be positive.

sin B=sin 40.70

A+B+C=180

A=180-40.70-61.50

A=77.79'

sin A/a=sin C/c

a=c sin A/sin C

So, a=34.697

Only one triangle is formed

And B=40°.7'

A≈77°.79'

Hence, option A is correct.

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Step-by-step explanation:

Definition of a rational number:

It is a fraction

A

---- where B is not equal to 0.

B

Therefore if you multiplying 1/2 to a number it must be in a fraction form to confirm that it is rational.

1 1 1

---- x ---- = ----

2 3 6

Your answer is: A