Decrease £250 by 15%

We need 8 plates for muffins, 4 plates for breadsticks, and 7 plates for rolls, with this arrangement, all plates will have the same amount of items, 12 per plate.

What are the denominator and numerator?

A fraction's top digit is always referred to as the numerator. It displays the number of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.

we have to divide each item in a way that gives us equal groups on each plate,

we have to find a divisor for each item that gives us the same result.

Muffins.

96/2=48

96/3=32

96/4=24

96/8=12

That is, by dividing all muffins into 8 plates we would have 12 muffins per plate.

Breadsticks.

48/2=24

48/4=12

That is, by dividing all breadsticks into 4 plates we would have 12 breadsticks per plate.

Rolls.

84/2=42

84/3=28

84/4=21

84/6=16

84/7=12

By dividing all rolls in 7 plates, we would have 12 rolls per plate.

Therefore, we need 8 plates for muffins, 4 plates for breadsticks, and 7 plates for rolls, with this arrangement, all plates will have the same amount of items, 12 per plate.

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In mile there are 63360 inches.

The number of inches in a mile is equal to the number of inches in a foot times the number of feet in a mile

We multiply 528 by 12 and add one zero to the right of the result.

Use vertical form to perform the multiplication.

So. 12 × 5280=63360

  ∴ 5280/6336

  = 1056

The number of inches in a mile = 12 × 5280

We multiply 528 by 12 and add one zero to the right of the result.

Use vertical form to perform the multiplication:

  528 × 12 = 1056

1056 + 5280 = 6336

So, 12 × 5280 = 63360 miles

Therefore, in mile there are 63360 inches.

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The value of x in quadrilateral JKLM is 29

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

The sum of the interior angles in a quadrilateral is 360°

∠J + ∠K + ∠L + ∠M = 360

3X + 90 + 2X + 8 + 4X + 1 = 360

9x + 99 = 360

9x = 360 - 99

9x = 261

x = 261/9

x = 29

In conclusion 29 is the value of x in the quadrilateral.

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The solution of the equations 4x + 6y = 21 and 7x - 3y = 3 will be (1.5, 2.5).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equation is given below.

4x + 6y = 21            ...1

7x - 3y = 3              ...2

From equation 2, then we have

7x - 3y = 3

3y = 7x - 3

y = (7/3)x - 1

Put in equation 1, then we have

4x + 6[(7/3)x - 1] = 21

4x + 14x - 6 =  21

18x = 27

x = 3/2

x = 1.5

Then the value of the variable 'y' is calculated as,

y = (7/3)(3/2) - 1

y = 7/2 - 1

y = 3.5 - 1

y = 2.5

The solution of the equations 4x + 6y = 21 and 7x - 3y = 3 will be (1.5, 2.5).

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Answer:

The price of 5$ worth of apples will be $3.10.

Step-by-step explanation:

5 dollars worth of apples would be 2 and a half apples. So, you would multiply 1.24 by 2.5. that gives you 3.1. Then, change those into change and  you have your answer. Hope this helps!

Answer:

I think multiples of 4

I hope this helps

Answer:

y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{26}{3}[/tex]

y = [tex]\frac{-3}{2}[/tex] x

Step-by-step explanation:

y = [tex]\frac{-3}{2}[/tex] x - 6

The slope of this line is -3/2

A perpendicular slope is the opposite reciprocal.  That means you flip it upside down and take the opposite sign.  Since this slope is negative, the perpendicular slope will be positive.  If I turn this fraction upside down it will be 2/3, so the perpendicular slope is 2/3.

For the equation of the line we need the slope (m) and the y intercept.  To find that we will use the point that goes through this line.

m = (2/3)

x  = -4      from the point given (-4, 6)

y = 6        from the point given (-4,6)

y = mx + b

6 = [tex]\frac{2}{3}[/tex] [tex](\frac{-4}{1})[/tex] + b

6 = [tex]\frac{-8}{3}[/tex] + b   Add [tex]\frac{8}{3}[/tex] to both sides

[tex]\frac{6}{1}[/tex] + [tex]\frac{8}{3}[/tex] = b

[tex]\frac{18}{3}[/tex] + [tex]\frac{8}{3}[/tex] = b

[tex]\frac{26}{3}[/tex]

y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{26}{3}[/tex]

Parallel lines have the same slope.

m = [tex]\frac{-3}{2}[/tex]

x = -4   from the point (-4,6)

y = 6   from the point (-4,6)

y = mx + b

6 = [tex]\frac{-3}{2}[/tex][tex](\frac{-4}{1})[/tex] + b

6 = 6 + b  Subtract 6 from both sides

0 = b

y = [tex]\frac{-3}{2}[/tex] x

The best buy is pack  of 30 .

A cost function is a mathematical formula used to chart how production expenses will change at different output levels.

The general form of the cost function formula is C(x)=F+V(x) C ( x ) = F + V ( x ) , where F is the total fixed costs, V is the variable cost, x is the number of units, and C(x) is the total production cost.

Division is the opposite of multiplication.

A division is a process of splitting a specific amount into equal parts.

Pack A has 30 pencils

sells for $7.50.

pack of 30:

7.97/30 = 0.27 per pencil

Pack B has 12 pencils

costs of $4.25.

pack of 12:

4.77/12 = 0.40 per pencil

The best buy is pack  of 30 because:

0.27 < 0.40

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Answer:

Here is your answer,

Step-by-step explanation:

(c)

x + y = 31 ------ (i)

x - y = 5 ------ (ii)

We have subtract eqn (ii) from eqn (i). Here we get the equation as,

2y = 26

y = 13 ------(iii)

Put eqn (iii) in eqn (i), we get -

=> x + y = 31

=> x = 31 - 13

=> x = 18

Therefore, their present ages of younger brother & older brother is 13 yrs & 18 yrs respectively.

Therefore the the best statement that describes this situation is Measurement error has occurred, and the researcher is guilty of unethical statistical practice.

As per the details share in the above question are as follow,

A researcher collected weights of a random sample of children using a scale that she had set to give weights 2.5 kilograms less than the actual weight.

We have to determine the best statement that describes this situation?

It measured precisely 2.5 kg less, which is a systematic inaccuracy, thus there has been a measuring error.

The statistician was guilty because she purposefully gave them less weight in order to support her argument.

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Answer: His work shows that the answer is an F. E. Which means a False Equation.

Step-by-step explanation:

This happens when an equation cannot be solved. Here is an example of a false equation answer:

Let's say that 3=6, in the equation or expression, all the letters like "x, y, z..." have been undone.

Therefore we can no longer undo, so the answer to your question is a False Equation.

The angle should it have to go straight to its destination is 66° east of north. The correct option is D.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that a ship's destination is 30 miles north and 12 miles east. The angle will be calculated as,

tanθ = 30 / 12

θ = tan⁻¹ ( 30 / 12)

θ = 66°

The angle is θ = 66°

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Any quality that pertains to a certain set is referred to in mathematics as a property. A property p that is rigorously specified for every component of a set X is typically defined as a function p: X → {true, false}.

The four properties of equality addition, subtraction, multiplication, and division can be used to solve an equation. To get the value of an equation's unknown variable, we can easily add, subtract, multiply, or divide the two sides of the equation.

The qualities of equality are those characteristics that have no effect on an equation's truth value, i.e., those characteristics that do not affect the equality of two or more values. These equality-related qualities enable us to define an equivalence relation and solve a number of algebraic equations.

9/2 x - 3 = 1/2 x + 2  Addition property of equality

9/2 x - 1/2 x - 3 = 1/2 x - 1/2 x + 2 Addition property of equality

1/4 * 4x = 1/4 * 5 Multiplication property of equality

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Answer:4.25

Step-by-step explanation: because it is daddy

Answer: 7/13 is the y intercept

Answer:

x = 20

Step-by-step explanation:

x + 2x + 6x = 9x / 180

x=20

triangles = 180

angle 1 = ?

angle 2 = 160?

angle 3 = 20

For 8% p-value cutoff , Melissa should use 92% confidence interval

A confidence interval calculated for a treatment effect measure shows the range in which the true treatment effect is likely to fall.

A smaller sample size or higher variability will result in a wider confidence interval with a larger margin of error. The interval width is also influenced by the level of confidence. If you want a higher level of certainty, the interval should be wider.

The width of the confidence interval and the size of the p value are related.

The narrower the interval, the smaller the p value. The confidence interval, on the other hand, provides useful information about the likely magnitude of the effect under consideration as well as the accuracy of the estimate.

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Answer:

18

Step-by-step explanation:

If n=9, then plug in 9 for n in the equation and solve. You should get 2•9, which is 18 when you simplify. Hope this helps and please mark brainliest!

Answer:

The data given from the graph proves that Catherine and Ana's suspicions were correct and the athletes at their school do indeed have a quicker reaction time than other students at their school. The average reaction time for the athletes ranges from 240 - 300, while the normal student's reaction time ranges from 260 - 330. There still should be more experiments to test this theory to get more detailed and accurate results because there are still athletes that have the same reaction time as normal students and the dot away from the boxes shows that there is a athlete that has a slower reaction rate than all of the  normal students. So it is safe to say there is indeed a difference in reaction times, but not a drastic one.

The work done to empty the tank by pumping the water out of the top of the tank is 3.4 * 10^6 .

Given :

a tank has the shape of an inverted circular cone with height 10 m and base radius 4 m. it is filled with water to a height of 8 m. find the work done to empty the tank by pumping the water out of the top of the tank .

Formula :

[tex]W=\int_a^bpA(y)D(y)dy[/tex]

Using the base radius of 4, I found the equation of the line which was y = 5x / 2 and by solving for x gives us x = 2y / 5 .

Work = [tex]9.8*1000\int_0^{8} (\pi(\frac{2y} 5)^2)(10-y)dy[/tex]

= 3.4 * 10^6

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1. Reason: Since QA divides ∠PQR into two different parts so it is a bisector∠PQA≅∠RQA.

2. The line which divides an angle into two different angles is known as a bisector.

4. ∠QXA≅∠QYA and they are situated opposites to each other so we can say that right angles are conjugate.

5. Given, Both are situated in the same plan so QA≅QA

6.ΔQXA≅ΔQYA, by the AAS Postulate.

8. Definition of equidistant. XA=XY.

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Answer:

The runners will be in a straight line after 1/2 seconds.

To solve this problem, we can set the y-coordinates of each runner equal to each other and solve for t. The y-coordinate represents the lane number, and if the lane numbers are equal, the runners are on a straight line.

Jon: y = 1

Laura: y = 2

Ellis: y = 4

Jon: 3t = 1

Laura: 4t = 2

Ellis: 6t = 4

Solving these equations simultaneously, we find that t = 1/2 seconds. This means that after 1/2 seconds, the runners will be in a straight line.

Answer:

NO

FALSE

Step-by-step explanation:

The diameter divides the circle into two equal part called semi– circles( the image on white)

A sector is the plane figure enclosed by two radii of a circle or ellipse and the arc between them.

( the image that is dark)

i hope this helped

Answer: No, the diameter of a circle divides the circle into two equal halves called semi circle.

Step-by-step explanation:

The line that splits a circle into two identical halves is its diameter. The widest chord that divides the circle in half exactly is called the diameter. Each component is known as a semicircle.

Answer:

bom é a soma dos algarismos se for matemática

According to the given statement Liam is incorrect because average speed is 34.28 miles per hour.

The average scores of a body's speed over a duration of time is its average speed. Because a moving body's speed is not constant over time and fluctuates, the average speed formula is required.

The overall distance the thing travels in a given amount of time is its average speed. A scalar value symbolizes the average speed. It has no direction and therefore is indicated by the magnitude.

Distance covered in first three hours = 40 × 3 = 120 miles

Time taking to covered remaining 120 miles = 120/30

                                                                          = 4 hours

Total time = 4 hours + 3 hours = 7 hours

Total distance = 120 miles + 120 miles

                        = 240 miles

Average speed = total distance /  total time

Average speed = 240 miles / 7 hours = 34.28 miles per hour

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Answer:

15 ft

Step-by-step explanation:

60 divide by 40 equal 1.5

1.5 x 10 = 15

They send 32 coupons to existing members. Option C is correct.

What is a linear equation in two variables?

A Linear equation in two variables x and y is of the form

Ax + By = C.

Given,

They provide 5 times as many to potential members than existing members.

Let, there are y potential members and x existing members.

Therefore, x + 5y = 192

Also, x and y are whole numbers.

Hence, x=32 satisfy the equation.

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The correlation coefficient is -7.44, which shows a strong negative correlation.

To calculate the correlation coefficient, you can use the following formula:

r = (n Σ(xy) - Σ(x) Σ(y)) / √((n Σ(x²) - (Σ(x))²) (n Σ(y²) - (Σ(y))²))

Where n is the number of data points, x is the variable on the x-axis, y is the variable on the y-axis, Σ(xy) is the sum of the products of x and y, Σ(x) is the sum of x, Σ(y) is the sum of y, Σ(x²) is the sum of the squares of x, and Σ(y²) is the sum of the squares of y.

Plugging in the values from the data, we get:

r = (5 x 198 - 39 x 91) / √((5 x 114 - 39²) x (5 x 187 - 91²))

Simplifying this equation gives us:

r = (-179) / √((-97) x (-6))

r = (-179) / √(582)

r = (-179) / 24.07

r = -7.44

The correlation coefficient is -7.44, which indicates a strong negative correlation. This means that as the value of x increases, the value of y decreases. Conversely, as the value of x decreases, the value of y increases.

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The inequality that represents this situation is, (1 + x) > 2.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Ava’s pet pig is older than Izzy’s pet pig, which is 2 years old.

Ava adopted her pig when it was 1 year old, and she has had it for x years.

∴ The inequality that represents this situation is,

(1 + x) > 2.

x > 2 - 1.

x > 1.

Ava adopted her pig for more than one year.

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