Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?

The following statements are true:

Line m is perpendicular to both line p and line q.

AD is not equal to BC.

To determine the truth of these statements, we can analyze the given information.

In the diagram, it is shown that line m is parallel to line n and both lines are perpendicular to plane R, and perpendicular to plane R.

However, only line m is stated to be perpendicular to plane S.

Based on diagram, we can conclude that statement 1 is true: Line m is perpendicular to both line p and line q.

AD is not equal to BC. This suggests that plane R is not parallel to plane S, hence the reason why only line m is perpendicular to plane S

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Answer:

y is 100degrees

it is correct answer

Answer:

$2 for 1 rose bush and $2 for one shrub

Step-by-step explanation:

32=2x+14y

26=11x+2y

32=2(2)+14(2)

32=4+28

32=32

26=11(2)+2(2)

26=22+4

26=26

Since both equations come out correct the cost of 1 rose bush is 2 dollars and the cost of one shrub is 2 dollars. kinda cool

Answer:

The cost of one rose bush is $2 and the cost of one shrub is $2.

Step-by-step explanation:

Let r represent the cost of 1 rose bush and s the cost of 1 shrub.

Kali's expenditure

2r + 14s = 32

Divide each term by 2

r + 7s = 16 ------ (i)

Kim's expenditure

11r + 2s = 26 ------ (ii)

From equation (i)

r = 16 - 7s

11(16 - 7s) + 2s = 26

176 - 77s + 2s = 26

-75s = 26 - 176

-75s = -150

s = -150/-75 = 2

r = 16 - 7s = 16 - 7(2) = 16 - 14 = 2

The cost of one rose bush is $2 and the cost of one shrub is $2

Answer

the rectangular coordinate is (6.15, 7.88)

Explanation

Given the following points

B = (10, 52 degrees)

B = ( r, theta)

Let r = 10 and theta = 52 degrees

Step 1: Find sin 52 and cos 52

Sin 52 = 0.7880

Cos 52 = 0.6157

Step 2: find the x and y - coordinates

X - coordinate = r x cos 52

y - coordiante = r x sin 52

x - coordiante = 10 x 0.6157

x - coordiante = 6.15

y - coordinate = 10 x 0.7880

y - coordinate = 7.88

Therefore, the rectangular coordinate is (6.15, 7.88)

Answer:

x=-5

Step-by-step explanation:

f(x)=8x+5

-35=8x+5        substitute -35 for f(x).

-40=8x            subtract 5 from both sides.

-5=x                 divide both sides by 8 and then simplify

Answer:

-5=x

Step-by-step explanation:

f(x)=8x+5

-35=8x+5        substitute -35 for f(x).

-40=8x            subtract 5 from both sides.

-5=x                 divide both sides by 8 and then simplify

Step-by-step explanation:

sin/cos=tan theta.It is the value of the safety angle

The coordinates of the final point will be (2,-1).

The coordinates in the three axes have no established names (however, the terms abscissa, ordinate and applicate are sometimes used). The letters X, Y, and Z, or x, y, and z, are frequently used to represent the coordinates. The axes can thus be referred to as X, Y, and Z, respectively.

The x axis is positive to the right and negative to the left and lies in the plane of the display. The y axis is located in the plane of the screen and slopes upward and downward, respectively. The z axis is positive and extends outward from the screen in a direction perpendicular to either the keyboard or the screen.

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The set of ordered pairs (-3,0), (-1,3), (1,0), (3,3) forms a relation and is also a function.

To determine if the set of ordered pairs (-3,0), (-1,3), (1,0), (3,3) forms a relation and a function, we need to check two conditions: the set must be a relation, and for it to be a function, each input (x-value) must have a unique output (y-value).

Relation: A relation is a set of ordered pairs that relate inputs (x-values) to outputs (y-values). In this case, we have a set of four ordered pairs (-3,0), (-1,3), (1,0), (3,3). This set satisfies the condition of a relation because it provides a mapping between x-values and y-values.

Function: For the set of ordered pairs to be a function, each input (x-value) must have a unique output (y-value). In other words, no two ordered pairs should have the same x-value with different y-values. Let's check if this condition is met:

The x-value -3 is associated with the y-value 0.

The x-value -1 is associated with the y-value 3.

The x-value 1 is associated with the y-value 0.

The x-value 3 is associated with the y-value 3.

Since each input (x-value) corresponds to a unique output (y-value) in the given set, we can conclude that the set of ordered pairs (-3,0), (-1,3), (1,0), (3,3) is indeed a function.

The set of ordered pairs (-3,0), (-1,3), (1,0), (3,3) forms a relation and is also a function.

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The rate of change in her pace from 0 minutes to 10 minutes into the race is 1 mile per 10 minutes.

Option (B) is correct.

What is the rate of change?

The rate of change is the amount by which a quantity changes with respect to another quantity, usually with respect to time. In mathematics, the rate of change is often represented as the slope of a line or the derivative of a function.

The rate of change in Kathryn's pace from 0 minutes to 10 minutes into the race can be calculated by finding the difference in her pace over that time interval.

Her pace can be calculated as time per mile, so if she runs 1 mile in 20 minutes, her pace is 20 minutes per mile.

From 0 to 10 minutes into the race, she runs half a mile, so her pace over that time interval can be calculated as follows:

20 minutes / mile * (1/2 mile) = 10 minutes / mile

Hence, the rate of change in her pace from 0 minutes to 10 minutes into the race is 1 mile per 10 minutes.

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The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Parabola equation , characteristic points

Vertex is the point of minimum-max value

A Directrix is a line outside parabola

Vertex is at (x,y) = (4,-5)

Parabola equation in general is

(x-h)^2 = 4•c•(y-k)

here c = -9

and (h,k) = (4,-5)

Then

(x-4)^2 = 4•(-9) •(y+5) = (-36)•(y+5)

(x-4)^2 = (-36)•(y+5)

Now divide by (-36)

-0.06((x-4)^2 = y + 5

-0.06(x-4)^2 - 5 = y

Looking at options, right answer comes to be D) , last option

\(\large\huge\green{\sf{Answer:-}}\)

10x-2y=18 _______(i)

8x=y________(ii)

put value of y in first equation

=> 10x-2(8x)=18

=>10x-16x= 18

=> -6x= 18

=> x= -3

now to find y put in second equation

8x-y

=> 8(-3)= y

=> y= -24

Answer:

I think it's 70

Step-by-step explanation:

if this is multiplication I just did 14x5 if it's wrong or someone want to correct me pls do or pls tell me thank you have a great day!

Answer:

6 packages

Step-by-step explanation:

First, let's list an important conversion. 1 pound = 16 ounces.

For the sake of this explanation, and because I think this is mathematically easier to deal with, we are going to be dealing in ounces.

So, step one, convert 5 pounds to ounces. For this, we just multiply 5 by 16 to get 80.

Now, we know each package of carrots weighs 14 ounces each. Since we need to see how many times 14 goes into 80 (remember, 80 is the same as 5 pounds), we use division.

80/14 = 5

But, hey! You can/t buy 5/7ths of a package. So we need to buy an ENTIRE EXTRA PACKAGE just to make up for it.

So we round our number up to 6.

( i got this from another girl, hope this helps)!

To show that the vector field F(x, y, z) = (-2y, -2x, 7z) is a gradient vector field, we need to find a scalar function V(x, y, z) such that its gradient, ∇V, is equal to F. We can determine the function V by integrating the components of F with respect to their respective variables.

Let's find the function V(x, y, z) by integrating the components of F(x, y, z) = (-2y, -2x, 7z) with respect to their variables.
∫-2y dx = -2xy + g(y, z)
∫-2x dy = -2xy + h(x, z)
∫7z dz = 7/2 z^2 + k(x, y)
We can see that -2xy is a common term in the first two integrals. Similarly, we observe that there are no common terms between the first and third integrals, as well as the second and third integrals. Therefore, we can assume that g(y, z) = h(x, z) = 0, since they will cancel out in the subsequent calculations.
Now, we can rewrite the integrals:
∫-2y dx = -2xy + C1(y, z)
∫-2x dy = -2xy + C2(x, z)
∫7z dz = 7/2 z^2 + C3(x, y)
By comparing these integrals with the components of the gradient vector, we can conclude that ∇V = (-2y, -2x, 7z), where V(x, y, z) = -xy + 7/2 z^2 + C.
To determine the constant C, we use the condition V(0, 0, 0) = 0:
V(0, 0, 0) = -(0)(0) + 7/2 (0)^2 + C = 0
C = 0
Therefore, the function V(x, y, z) that satisfies V(0, 0, 0) = 0 is V(x, y, z) = -xy + 7/2 z^2. Thus, the vector field F(x, y, z) = (-2y, -2x, 7z) is indeed a gradient vector field F = ∇V.

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Answer: Believe it’s 80

Step-by-step explanation:

Seems like it’s just division so 60.00 divided by 0.75 would equal 80

Answer:

8.28389112 × 10-23 m2 kg s-2 K-1

The required number of collection of coins of each kind are C(33 4).

Since there are no less than 30 coins of every sort of coin, there is plausible that we can pick each of the 30 of a similar kind.

So reiteration is permitted and request doesn't make any difference since every sort of coin is something very similar.

So we utilize the recipe C(k+n­1 k). There are four kinds of coin (k=4), and we pick 30 coins (n=30).

Then,

there are C(33 4) potential ways.

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Answer:

4

Step-by-step explanation:

1/2 the bottle is equal to 4/8. giving 1/8 to each sick cat is 4

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

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Answer:

2nd option

Step-by-step explanation:

Given

3x³ - 15x² - 4x + 20

step 1 ( group the first/second and third/fourth terms )

(3x³ - 15x² ) + (- 4x + 20)

step  2 ( factor each group )

3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )

step 3 ( factor out (x - 5) from each term )

(x - 5)(3x² - 4)

Answer:

ITS D !!!!

Step-by-step explanation:

got it right on test

Answer:

  90° CCW

Step-by-step explanation:

The angle from C to the origin to C' is a right angle when measured counterclockwise (in the usual direction).

ΔA'B'C' is a rotation of ΔABC 90° CCW.

__

This is fully equivalent to a rotation of 270° CW.

The company's profits on June 1, 2002 is $4500 and the company's profits many years into the future is $1000 per month.

The equation f(t) = (t^2 + 9) / (t^2+2) provides the monthly profits, in thousands of dollar, where t refers to months after June 1, 2002.

The company’s profit on June 1, 2002 using the equation is when t = 0 months

f(0) = (0^2 + 9) / (0^2+2) = 9/2 = 4.5 or $4500.

The company’s profit on many years into the future using the equation is given by:

Limit(t→∞)((t^2+9)/(t^2+2))= Limit(t→∞)(2t/2t)=1

Hence the monthly profit is $1,000.

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Answer:

22 completed surveys

Step-by-step explanation:

In the scenario described above, the sample to be used is the information given by the 22 completed surveys. This is because, the remaining 8 initial samples give no information regarding the working condition of employees. Hence, this data points are the null points and may have to be removed from the data.

Therefore, the sample in the scenario described above are the 22 completed surveys from the initial 20 samples selected.

Answer:

1. 75 employees

2. 22 employees

Step-by-step explanation:

Edge 2021:)

Answer:

time = 70 minutes

The probability of getting 3 is P(A) = 1/216. The probability that sum being 3 is 1 / 216.

When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. A dice can show a minimum of one and a maximum of six dots, for a total of six sides, giving it a total of 6 * 6 * 6 = 216 possible outcomes.

:When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. The probability can be calculated as follows:

Let A be the event that the sum is 3. The number of ways to get 3 is 1, i.e., (1, 1, 1). The total number of possible outcomes is 6³,

since each die can have 6 possible outcomes.

Therefore, the probability of getting 3 is P(A) = 1/216.

In conclusion, the probability that sum being 3 is 1 / 216.

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Answer:

Yes it is safe

Step-by-step explanation:

lower bound of fred's weight (88kg) = 87.5kg

upper bound of total mass (480kg) = 567.5 kg

567.5kg - 87.5kg = 480 kg

The total mass in the lift after Fred gets out is \(477\) kg which is less than the safe limit of \(480\) kg. So, the lift is safe to use.

Maximum mass in the lift \(= 480\) kg.

Total mass of Fred and other people in the lift \(= 565\) kg.

Mass of Fred, in nearest kg, \(= 88\) kg.

Fred gets out of the lift. So, subtract the mass of Fred from the total mass in the lift.

Total mass of people in the lift \(= 565-88 = 477\) kg, which is less than safe limit of mass in the lift.

So, the lift is safe to use now.

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If 17 out 20 dentists prefer pearly white toothpaste to any other toothpastes, then the ratio of dentists who prefer pearly white becomes

(17 : 20)

As per the question statement, 17 out 20 dentists prefer pearly white toothpaste to any other toothpastes.

We are required to calculate the ratio of dentists who prefer pearly white.

To solve this question, we simply need to form a fraction, with the number of dentists who prefer pearly white toothpaste as it's numerator, to the total number of dentist at the denominator, and then we will have to simply the fraction and convert it into (N : D) form, where "N" is the numerator of the simplest form, and "D" is the denominator of the same.

Here, since 17 out 20 dentists prefer pearly white toothpaste, the numerator of our fraction will be 17, and the denominator will be 20, i.e.,

(17/20)

Now since (17/20) cannot be simplified any further, we will convert into the standard form of ratios, i.e., the above mentioned (N : D) form.

Hence, the ratio of dentists who prefer pearly white becomes

(17 : 20)

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