Mo spends £20 on ingredients to make 50 cookies.
He sells all 50 cookies for 56p each.
Work out Mo’s percentage profit.

Answer:

I did not understand the questions well but If I try it out.

1. the difference b/w Kg and g is 1000,000.

2. as the 3 is kg I only convert the 9 grmas into Kg and it will look like this.

3.000009kgs.

The number of degrees in the measure of the largest angle is 315°

given that

In geometry, a nonagon (/ˈnɒnəɡɒn/) or enneagon (/ˈɛniəɡɒn/) is a nine-sided polygon or 9-gon.

The name nonagon is a prefix hybrid formation, from Latin (nonus, "ninth" + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century. The name enneagon comes from Greek enneagonon (εννεα, "nine" + γωνον (from γωνία = "corner")), and is arguably more correct,though less common than "nonagon".

Although a regular nonagon is not constructible with compass and straightedge (as 9 = 32, which is not a product of distinct Fermat primes), there are very old methods of construction that produce very close approximations.

It can be also constructed using neusis, or by allowing the use of an angle trisector.

the angles of a 9-gon are in ratio 3:1:4:1:5:9:2:6:5

the sum of interior angles of an 9-gon = (9-2)* 180

                                                               = 7*180

                                                               =1260°

now, we need to find the largest angle

9/(3+1+4+1+5+9+2+6+5) *1260

=9/(36)*1260

=(1/4)*1260

=315°

The number of degrees in the measure of the largest angle is 315°

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Answer:

the last option

2(x-9)=12;x=15

Answer:

2(x-9) = 12; x = 15

Step-by-step explanation:

Have a nice day

Answer:

n = 8

Step-by-step explanation:

2n + 1.6 = 17.6

Subtract 1.6 from each side.

2n + 1.6-1.6 = 17.6-1.6

2n = 16

Divide by 2.

2n/2 = 16/2

n = 8

Answer: The answer stays the same as x ≤ 6

Have a nice day :)

Step-by-step explanation: because since 6 is more than x obviously it wont change.

Using Combination,

Total 12 possible subsets containing three different numbers can be selected from the set {89, 95, 99, 132, 166, 173} so that the sum of the three numbers is even.

We have given a set say S which contains 6 elements, S = {89, 95, 99, 132, 166, 173}

we want to select three numbers from S such that sum of these is even .

To have an even sum with three numbers, we must add either E+O+O, or E + E + E

where O ---> an odd number

E ---> an even number.

Since there are not three even numbers in the given set, case E+E+E is not possible. Thus, we must choose two odd numbers, and one even number.

There are 2 choices for the even number.

There are 4 choices for the first odd number. There are 3 choices for the last odd number. But the order in which we pick these 2 numbers doesn't matter, so this overcounts the pairs of odd numbers by a factor of 2. Thus, we have ⁴C₂ = 4×3/2 = 6 choices for a pair of odd numbers.

In total, there are 2 choices for an even number, and 6 choices for the odd numbers,

Hence, the total of 2×6 = 12 possible choices for a 3-element set that has an even sum.

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Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Because 612 quarts divided by 18 quarts for each plant is 34. So, it's 34 plants.

Answer:

9

Step-by-step explanation:

Unit rate means the value will for 1.

If we know that, then we can simplify:

45 ÷ 5

= 9

Hence, the unit rate is 9.

Therefore, for each bus, there will be 9 students.

The total number of inches grown by the students who grew 5/8 of an inch cannot be determined without additional information such as the number of students who grew this amount or the timeframe in which they grew.

The question provides only one piece of information, which is the amount of growth (5/8 of an inch) for a group of students. Without additional information, it is not possible to calculate the total number of inches grown.

For example, if the question provided the number of students who grew 5/8 of an inch, then we could multiply that number by the amount of growth to get the total number of inches.

Alternatively, if we knew the timeframe in which the students grew, we could calculate the rate of growth and use that information to estimate the total number of inches.

However, as the question is currently written, it is not possible to provide a specific answer to the total number of inches grown.

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Answer:

Trip to town hall took 5 hours

Step-by-step explanation:

Distance traveled = Speed x Time

We know the return trip took 4 hours at 75 mph

So distance traveled from town hall to start = 75 x 4 = 300 miles

The distance from start to town hall is assumed to be the same.

So distance to town hall from start = 300 miles also

Time taken to travel 300 miles at 60 mph = 300/60 = 5 hours

Answer:

3x - 5y = - 18

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3x - 5y = 10 ( subtract 3x from both sides )

- 5y = - 3x + 10 ( divide through by - 5 )

y = \(\frac{3}{5}\) x - 2 ← in slope- intercept form

with slope m = \(\frac{3}{5}\)

• Parallel lines have equal slopes , then

y = \(\frac{3}{5}\) x + c ← is the partial equation of the parallel line

to find c substitute (- 1, 3 ) into the partial equation

3 = - \(\frac{3}{5}\) + c ⇒ c = 3 + \(\frac{3}{5}\) = \(\frac{18}{5}\)

y = \(\frac{3}{5}\) x + \(\frac{18}{5}\) ← equation of parallel line in slope- intercept form

multiply through by 5 to clear the fractions

5y = 3x + 18 ( subtract 5y from both sides )

0 = 3x - 5y + 18 ( subtract 18 from both sides )

- 18 = 3x - 5y , that is

3x - 5y = - 18 ← in standard form

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

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The equivalent system after eliminating the y-term is:

To eliminate the y-term from the third equation in the given system, we can use the first equation to express y in terms of x and z, and substitute it into the third equation. Let's solve the system step by step.

Given system of equations:

1) X - 7y + 2z = -1

2) y + z = -1

3) 4y + z = 1

To eliminate the y-term from the third equation, we'll solve equation 2) for y:

y = -z - 1

Now substitute this expression for y into equation 3):

4(-z - 1) + z = 1

-4z - 4 + z = 1

-3z = 5

z = -5/3

Now that we have the value of z, let's substitute it back into equation 2) to solve for y:

y + (-5/3) = -1

y = -1 + 5/3

y = -3/3 + 5/3

y = 2/3

Finally, we can substitute the values of y and z into equation 1) to solve for x:

X - 7(2/3) + 2(-5/3) = -1

X - 14/3 - 10/3 = -1

X - 24/3 = -1

X - 8 = -1

X = -1 + 8

X = 7

The new equivalent system after eliminating the y-term from the third equation is:

1) X = 7

2) y = 2/3

3) z = -5/3

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Answer:p-by-step explanation:

15 x$1.50 is $22.50 then add that to the monthly fee of $14.00 for a total of $36.50

The counter example is ""If the shape is not a polygon, then it does not have four sides."

The converse of a statement is formed by switching the hypothesis and the conclusion.

Given the statement

"If the shape is a polygon, then it has four sides."

The counter example will be the opposite of both the hypothesis and conclusion of the statement to have;

"If the shape is not a polygon, then it does not have four sides."

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Answer:

Wouldnt it be a square.

Step-by-step explanation:

The orthogonal complement to S has dimension 0 when the dimension of the vector space is equal to the dimension of S.

We have,

The orthogonal complement to a subspace S of a vector space is the set of all vectors in the vector space that are orthogonal (perpendicular) to every vector in S.

The dimension of the orthogonal complement is given by the difference between the dimension of the vector space and The dimension of S.

If S spans the entire vector space, then its orthogonal complement consists only of the zero vector and therefore has dimension 0.

Thus,

The orthogonal complement to S has dimension 0 when the dimension of the vector space is equal to the dimension of S.

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Answer: \(y=\frac{3}{4}x+3\)

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

\(y=\frac{3}{4}x+b\)          [plug in (8,9)]

\(9=\frac{3}{4}(8)+b\)       [multiply]

\(9=6+b\)            [subtract both sides by 6]

\(b=3\)

Now that we have b, we can complete the equation to \(y=\frac{3}{4}x+3\).

The compound inequality represents the values of x that are not solutions of the inequality represented by the graph is, D. - 1 ≤ x < 3.

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.

The inequality is represented by a number line having an open circle at - 1,

which defines - 1 is not included and a closed circle at 3 which defines 3 is included.

Therefore, The inequality is, - 1 < x ≤ 3.

But we have asked what inequality is not a solution and that would be,

- 1 ≤ x < 3.

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Answer:

Yes, it is possible for Suri and Juan to make the same amount of wages if they both work 25 hours in one week.

Step-by-step explanation:

Let x = number of hours worked

Let y = total wages earned

Suri:  15x + 25 = y

Juan:  14x + 50 = y

Equate equations and solve for x:

15x + 25 = 14x + 50

Subtract 14x from both sides:  x + 25 = 50

Subtract 25 from both sides: x = 25

Yes, it is possible for Suri and Juan to make the same amount of wages if they both work 25 hours in one week.

Answer:

simple interest =PTR/100=$180000×1×3.9/100=$7020

Answer:

1.203 x 10^-4

Step-by-step explanation:

Answer:

1.203 x 10 to the 4th power

Step-by-step explanation:

Answer: y = 1.4

Step-by-step explanation:

if you write the equation it would be

-5y - 4 = -11

so first you would subtract 4 from -4 and -11 to cancel out the four.

so your equation would look like this -5y= -7

so now u would divide -5 by both sides to canceled out the -5

your equation should end up looking like

y=1.4

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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Answer: D

Step-by-step explanation:

D. OLCOB. This angle is supplementary to COD because the two angles add up to 180°. OLCOB has a measure of 180° - 90° = 90°, which is supplementary to the 90° measure of COD.

Answer:

multiply the area value by 100

$580 = 100%

$1 = 100% ÷ 580

$464 = (100% ÷ 580) × 464

= 80%

Therefore,

percentage discount = 100% - 80%

= 20%

i hope my solution helps :))

The volume of the cylinder is 188.4m³.

It should be noted that from the diagram given, there is a cylinder. It should be noted that the volume of a cylinder is given as:

= πr²h

where,

r = radius = 4m/2 = 2m

h = height = 15m

Therefore, the volume of the cylinder will be:

=πr²h

= 3.14 × 2² × 15

= 188.4m³

Therefore, the volume of the cylinder is 188.4m³.

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The length of each side of the box is 10 centimeter.

Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.

Given,

The volume of the cubic box = 1 liter

We know 1 liter= 1000 cubic centimeter

Volume of the cubic box= \(x^3}\)

Then,

\(x^{3}=1000\\ x=\sqrt[3]{1000}\)

x=10 centimeter

Hence, the length of each side of the box is 10 centimeter.

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The area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately √265 square units.

To find the area of the parallelogram with the given vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3), we can use the cross product of two vectors.

First, let's define vectors KM and KN using the coordinates of the vertices:

Vector KM = (3-1, 8-2, 6-3) = (2, 6, 3)

Vector KN = (3-1, 7-2, 3-3) = (2, 5, 0)

Next, we calculate the cross product of vectors KM and KN to obtain a vector perpendicular to the parallelogram's plane:

KM x KN = ((6)(0) - (3)(5), (3)(2) - (2)(0), (2)(5) - (6)(2)) = (-15, 6, -2)

The magnitude of the cross product vector gives us the area of the parallelogram:

Area = |KM x KN| = √((-15)^2 + 6^2 + (-2)^2) = √(225 + 36 + 4) = √265

Therefore, the area of the parallelogram with vertices K(1,2,3), L(1,3,6), M(3,8,6), and N(3,7,3) is approximately √265 square units.

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Question

How do you find the Area of the Parallelogram with Vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3)?