Use the multiplier method to increase £88 by 14%

Answer:

A

Step-by-step explanation:

Answer:

A. 9

See below, please.

Step-by-step explanation:

\({(5x + 27)}^{o} = {(3x + 45)}^{o} \\ 5x + 27 = 3x + 45 \\ 5x - 3x = 45 - 27 \\ 2x = 18 \\ so \\ x = 9\)

Answer:

12+(3+4)/2-10

12x7/2-10

84/2-10

42-10

32

Step-by-step explanation:

Answer:

32.

Step-by-step explanation:

12×(3+2²) ÷ 2-10

12x(3+4) /2-10

12x7/2-10

84/2-10

42-10

32.

Answer:

The answer is D!

Step-by-step explanation:

Answer:

x=-14/11 or -1.27 or -1 3/11

Step-by-step explanation:

Answer:

-14/11

Step-by-step explanation:

Simplify both sides of the equation

(Distribute)

(Combine Like Terms)

Subtract 22x from both sides.

Add 30 to both sides.

Divide both sides by -11

= -14/11

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-

Answer:

The number is 7. If you divide -28 by -4 you get 7, 7×-4=-28

Answer:

a)

table:

\(\begin{array}{ccccc}&2&3&4\\0&2&3&4\\1&3&4&5\\2&4&5&6\\3&5&6&7\end{array}\)

b) Count the number of occurrances:

i: There are 3 fours in the table of 12 outcomes, so the probability is 3/12 = 1/4

ii: There are 9 outcomes less than six in the table of 12 outcomes, so the probability is 9/12 = 3/4

iii: There are 3 outcomes of 6 or more in the table of 12 outcomes, so the probability is 3/12 = 1/4

Answer:

\(x>3\)

Step-by-step explanation:

\(The\ area\ of\ the\ rectangle\ in\ terms\ of\ x=6x\\The\ area\ of\ the\ triangle\ in\ terms\ of\ x=\frac{4(x+6)}{2}=2(x+6) \\Given\ condition:\\The\ area\ of\ the\ rectangle>The\ area\ of\ the\ triangle\\Hence,\\6x>2(x+6)\\Now, as\ practically\ any\ of\ the\ side\ of\ the\ polygons\ cannot\ be\ negative.\\\\Hence,\\6x>2x+12\\6x-2x>2x+12-2x\\4x>12\\\frac{4x}{4} >\frac{12}{4} \\x>3\)

\(Hence,\\x\ could\ be\ any\ real\ number\ greater\ than\ 3.\)

Answer:

The statement is true.

Step-by-step explanation:

We know that line IJ=JK and that line IH=HK. We also know that the two triangles share a side meaning that every side of each triangle is equivalent to each other making them congruent by the Side Side Side postulate.

Answer:

no solution

Step-by-step explanation:

2x + 3x - 60 = 5x

combine like terms

5x - 60 = 5x

subtract like terms (5x-5x = 0)

-60 = 0, which is untrue so there is no solution

The diameter of the sphere is 45 cm, which means that the radius of the sphere is 22.5 cm. The potential difference between the surface of the sphere and a point at infinity is 590 V. The electric field at the surface of the sphere is given by the equation:

E = V/r

Where E is the electric field, V is the potential difference, and r is the radius of the sphere. Plugging in the given values, we get:

E = 590 V / 22.5 cm = 26.22 V/cm

Therefore, the electric field at the surface of the sphere is 26.22 V/cm. This is the electric field that is responsible for the charge on the sphere. The charge on the sphere can be calculated using the equation:

Q = 4πε0r^2E

Where Q is the charge on the sphere, ε0 is the permittivity of free space, r is the radius of the sphere, and E is the electric field at the surface of the sphere. Plugging in the given values, we get:

Q = 4π(8.85 x 10^-12 F/m)(0.225 m)^2(26.22 V/m) = 1.49 x 10^-9 C

Therefore, the charge on the sphere is 1.49 x 10^-9 C.

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Mathematical objects that can be easily scaled and rotated without losing their shape and identity are known as "rigid bodies."

In geometry, rigid bodies are defined as objects that maintain their shape and size under rigid motions, which include translations (shifting) and rotations.

These objects possess properties such as symmetry, congruence, and invariance under transformations. Examples of rigid bodies include circles, squares, cubes, and spheres.

The ability to scale and rotate rigid bodies while preserving their geometric properties makes them useful in various mathematical applications, such as coordinate transformations, geometric proofs, and modeling physical objects in engineering and physics.

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Answer: C

Step-by-step explanation: In these types of questions, a flat fee will never have a variable attached to it because it is only charged once. The variable will be attached to a rate which in this case is $6.25 per day. Therefore, C is the only right answer because it keeps the flat fee isolated from the variable and the daily rate gets incremented as the days go on.

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Answer:

C: (x) = $6.25x + 50

Step-by-step explanation:

It is given that:

c(x) is the total cost.

(x) is the number of days that Paula has the console.

Paula rents the console for a flat fee of $50. This means that no matter how much days she holds onto the console, she will have to pay the $50. $6.25 is the amount that needs to be paid per day on top of the $50, and is in direct linkage with the number of days she continues to keep the console.

Set the equation:

Total Fee = Cost per day x Amount of days she owns the console + Installment flat fee:

c(x) = $6.25x + 50

C) is therefore your answer.

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Answer:

13.21148134 meters

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 39 = x /17

17 cos 39 = x

13.21148134 = x

Answer:

Step-by-step explanation:

take 39 degree as reference angle

using cos rule

cos 39=adjacent/hypotenuse

0.77=x/17

0.77*17=x

13.09=x

The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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Answer:

The ninth term is 30

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

you divide the little number by the bigger number than move the decimal point two places to the right

J is the correct answer since 80×(40/100) = 32

HOPE IT HELPS

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The operation table for x is not a group, because it does not have an identity element. The operation table for + is a group because it satisfies all of the group axioms. The operation table for * is a group because it satisfies all of the group axioms.

The operation tables provided are for the following operations:

a. ×, where × is 0 or 1.

b. +, where + is addition modulo 2.

c. *, where * is multiplication modulo 2.

The operation table for x is not a group because it does not have an identity element. The identity element of a group is an element that, when combined with any other element of the group, leaves that element unchanged. In this case, there is no element that, when combined with 0 or 1, leaves that element unchanged.

For example, if we combine 0 with x, we get 0. However, if we combine 1 with x, we get 1. This means that there is no element that, when combined with 0 or 1, leaves that element unchanged. Therefore, the operation table for x is not a group.

The operation table for + is a group because it satisfies all of the group axioms. The group axioms are:

Closure: The sum of any two elements of the group is also an element of the group.

Associativity: The order in which we combine three elements of the group does not affect the result.

Identity element: The element 0 is the identity element of the group. When combined with any other element of the group, it leaves that element unchanged.

Inverse elements: Every element of the group has an inverse element. The inverse of an element is an element that, when combined with that element, gives the identity element.

In the case of the operation table for +, the element 0 is the identity element, and every element has an inverse element. Therefore, the operation table for + is a group.

The operation table for * is a group because it satisfies all of the group axioms. The group axioms are:

Closure: The product of any two elements of the group is also an element of the group.

Associativity: The order in which we combine three elements of the group does not affect the result.

Identity element: The element 1 is the identity element of the group. When combined with any other element of the group, it leaves that element unchanged.

Inverse elements: Every element of the group has an inverse element. The inverse of an element is an element that, when combined with that element, gives the identity element.

In the case of the operation table for *, element 1 is the identity element, and every element has an inverse element. Therefore, the operation table for * is a group.

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The complete Questions is:

Fill out these operation tables and determine if each is a group or not. If it is a group, show that it satisfies all of the group axioms. (You may assume that all of these operations are associative, so you do not need to prove that.) If it is not a group, write which group axiom(s) they violate.                                                                                                                           a. CIRCLE: Is this a Group? YES   NO  Justification:                                                                                                                        

                  ×                            0      1                                                                                                                                                  

                  0                                                                                                                                                                                                        

                  1                                                                                                                                                                                                                                b. CIRCLE: Is this a Group? YES   NO   Justification:                                                                                                                        

                  +                            0      1                                                                                                                                                  

                  0                                                                                                                                                                                                        

                  1                                                                                                                                                                                                                                c. CIRCLE: Is this a Group? YES   NO   Justification:                                                                                                                        

                  *                            0       1                                                                                                                                                  

                  0                                                                                                                                                                                                        

                  1                                                            

It is instructed that we change 44.0 gallons to liters. One gallon is one unit of volume. A gallon is equivalent to 3.785 liters.

3.785411784 litres make to one US gallon. 4 quarts, 8 pints, or 128 fluid ounces make up a gallon. In American measurements, a gallon is equivalent to 3.785 litres, 128 fluid ounces, 4 quarts, 8 pints, or 16 cups. A gallon's volume is about equivalent to 3.78541 litres. Thus, a gallon is more than three litres. A gallon of one liquid could weigh differently than a gallon of another. As one imperial gallon is equal to 4.54609 litres, it takes up space that is nearly 4,546 cubic centimetres (roughly a 16.5cm cube). An average glass holds eight ounces. So, 16 eight-ounce glasses of water make up a gallon.

44.0 gallons to 3.785 liters.

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The solution for question a is -2.00. The solution for question b is  0.6687. The solution for question c is 10 students. We can show the working in the following manner.

a. What is the probability of completing the exam in one hour or less (to 4 decimals)?

To answer this question, we need to convert the time of one hour (60 minutes) to a z-score using the mean and standard deviation provided. We have:

z = (60 - 80) / 10 = -2.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in one hour or less is approximately 0.0228, rounded to 4 decimal places.

b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)?

To answer this question, we need to find the probability of completing the exam in less than 75 minutes and subtract the probability of completing the exam in less than 60 minutes. We have:

z1 = (60 - 80) / 10 = -2.00

z2 = (75 - 80) / 10 = -0.50

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in less than 75 minutes is approximately 0.6915 and the probability of completing the exam in less than 60 minutes is approximately 0.0228, as calculated in part a.

So, the probability of completing the exam in more than 60 minutes but less than 75 minutes is approximately:

0.6915 - 0.0228 = 0.6687, rounded to 4 decimal places.

c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to the next whole number)?

To answer this question, we need to find the number of students whose exam time is greater than 90 minutes, which is the maximum time allowed. We can use the normal distribution with the given mean and standard deviation to calculate this.

First, we need to find the z-score corresponding to a time of 90 minutes:

z = (90 - 80) / 10 = 1.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in more than 90 minutes is approximately 0.1587.

Therefore, the expected number of students who will be unable to complete the exam in the allotted time is:

60 x 0.1587 = 9.52, which rounds up to 10 students (to the next whole number).

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The equation of the line n parallel to line m will be y = 3/2x - 9. The correct option is A.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation of the lime m perpendicular to the line y = -2/3x + 6 will be,

y = 3/2x + c

The line n is parallel to n and passes through the point (4,-3),

y = 3/2x + c

-3 = (3/2 x 4)  + c

-3 = 6 + c

c = -9

The equation of line n will be written as,

y = 3/2x - 9

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The test to use when there's an independent group design and ordinal data is the Kruskal Wallis test

Given: Independent group and ordinal data. To find which test to use.

What's the Kruskal Wallis test?

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The Kruskal Wallis test is used when you have one independent variable with two or further situations and an ordinal dependent variable. In other words, it's thenon-parametric interpretation of ANOVA and a generalized form of the Mann- Whitney test system since it permits two or further groups.

The null thesis for the Kruskal- Wallis test simply states that there are no methodical or harmonious differences among the treatments being compared.

How to calculate the Kruskal Wallis test?

The computation of the Kruskal- Wallis statistic requires

Hence as is mentioned for an independent group design and ordinal data so we use the Kruskal Wallis test.

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We can use the Kruskal Wallis test when we have an independent group design and ordinal data.

We are given an independent group design and ordinate data.

We need to tell which test to use on them.

The Kruskal Wallis test is used when you have one independent variable with two or more situations and one ordinal dependent variable. In other words, it is an interpretation of ANOVA table and a generalized form of the Mann- Whitney test system.

The null hypothesis for the Kruskal- Wallis test tells us that:

There are no methodical or harmonious differences among the treatments being compared.

Therefore, we can use the Kruskal Wallis test when we have an independent group design and ordinal data.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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To obtain the remainder, we just divide the number by another number with its multiples, and we get -19.

f(x) = 4X x 3 + 1,

f(-5) = 4(-5) x + 1

f(-5) = -20 + 1

f(-5) = -19.

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Answer:

250 miles

Step-by-step explanation:

Step 1:

500 ÷ 20 = 25

Step 2:

25 × 10 = 250

Answer:

250 miles

Hope This Helps :)

Step-by-step explanation:

Volume of a sphere = 4/3 pi r^3        take derivative with respect to 't'

   dv / dt     = 4/3 pi   3 r^2 dr/ dt

      144 = 4/3 pi * 3 * (6^2) dr/dt

          dr/ dt = .318 ft/min

The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Answer: t=7

Step-by-step explanation:

5t+6+49+90=180

5t+145=180

5t=35

t=7