What is the slope of the line that passes through the points (0, 7) and (8, 7)
Write in simplest form

Answer:

the percentage profit is 20%

Step-by-step explanation:

Given that

Sean paid  £10 for 24 chocolate bars

He sold all 24 chocolate bars for 50p each

we need to find out the percentage profit

Since he paid  £10 and sale value is (24 × 0.50) i.e. £12

So, the percentage profit is

= (£12 - £10) ÷ (£10)

= 20%

Hence, the percentage profit is 20%

Answer:

1=6

Step-by-step explanation:

Divide both sides of the equation by the same term

1=6

The sentence that has no errors is: "Gloria Steinem stated, 'Without leaps of imagination or dreaming, we lose the excitement of possibilities. Dreaming, after all, is a form of planning.'"

We have,

The concept used to identify the sentence with no errors is the proper use of grammar and punctuation.

a

Specifically regarding the capitalization of proper nouns (such as "Gloria Steinem"), the use of quotation marks for direct speech, and the appropriate placement of punctuation marks (commas and periods) within and around quotations.

Thus,

The sentence that has no errors is: "Gloria Steinem stated, 'Without leaps of imagination or dreaming, we lose the excitement of possibilities. Dreaming, after all, is a form of planning.'"

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Answer:

30:1

Step-by-step explanation:

1. Look at the graph and follow along the lines.

2. When x is 1 in hours then cakes are 30.

3. So we can write the ratio from cakes to hours.

4. The ratio is 30:1.

There are 846720 different values possible for the sum of xyx and yxy.

Let's denote the three digits of xyx as a, b, and c, such that xyx = 100a + 10b + c, and the three digits of yxy as d, e, and f, such that yxy = 100d + 10e + f. Note that x and y are distinct non-zero digits, so a, b, c, d, e, and f are all distinct non-zero digits.

The sum of xyx and yxy is (100a + 10b + c) + (100d + 10e + f), which simplifies to 100(a+d) + 20(b+e) + (c+f).

We want to find how many different values are possible for the sum. Since a, b, c, d, e, and f are all distinct non-zero digits, we can consider each of them separately.

For a given value of a, there are 9 choices for d (since d cannot be equal to a), and once we have chosen d, there are 8 choices for e (since e cannot be equal to either a or d). Similarly, there are 7 choices for f (since f cannot be equal to a, d, or e).

So, for a fixed value of a, the number of possible values of the sum is the number of possible values of (100(a+d) + 20(b+e) + (c+f)), which is simply the number of possible values of (20(b+e) + (c+f)), since 100(a+d) is fixed.

There are 8 choices for b (since b cannot be equal to a), and once we have chosen b, there are 7 choices for c (since c cannot be equal to either a or b). Similarly, there are 6 choices for e (since e cannot be equal to either a, d, or b), and 5 choices for f (since f cannot be equal to either a, d, e, or c).

Therefore, the total number of possible values of the sum is:

9 × 8 × 7 × 8 × 7 × 6 × 5 = 846720

Therefore, there are 846720 different values possible for the sum of xyx and yxy.

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Answer:

9 pounds of chocolate candies

6 pounds of sugar candies

Step-by-step explanation:

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 * 5 = 75

7x + 2 * (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

15 - 9 = 6

y = 6

9 pounds of chocolate candies and 6 pounds of sugar candies

The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.

He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 x 5 = 75

7x + 2  (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

Now 15 - 9 = 6

y = 6

Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.

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the appropriate z-factor to use when deriving a slope surface with the given horizontal and vertical units and resolutions is 0.1.

When deriving a slope surface, the z-factor represents the conversion factor from the vertical units to the horizontal units. In this case, the horizontal units are in feet with a horizontal resolution of 10, and the vertical units are also in feet but with a vertical resolution of 1. To calculate the appropriate z-factor for deriving a slope surface, we need to determine the ratio of the vertical to horizontal units.

The z-factor can be calculated as follows:

z-factor = vertical units / horizontal units

= 1 / 10

= 0.1

Therefore, the appropriate z-factor to use when deriving a slope surface with the given horizontal and vertical units and resolutions is 0.1.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

5\(\sqrt[\\]{3} \\\) or about 8.66

Step-by-step explanation:

To find the distance of any line, you have to use distance formula.

\(\sqrt{(y-y_{1} )^{2} + (x-x_{1} )^{2}\)

So, we insert our points:

\(\sqrt{(5-9 )^{2} + (-3-4 )^{2}\)

Then you solve, and should end up with \(\sqrt{75}\). Either you can simplify it for an exact number, or you can round. It depends on what the directions ask for.

87/14 or 6 3/4. That's an improper fraction and then a mixed fraction. Same answer though

\(y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-(-2)}{6-0} = \frac{1}{3} \\-2 = \frac{1}{3}(0) + b\\ b = -2\\y = \frac{1}{3}(x) - 2\)

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Answer:

£ 14,802.32 total investment value.

Step-by-step explanation:

11180 x 0.054^1 = 603.72 interest  yr1

603.72 x 6 = 3622.32 interest yr 6

3622.32 + 11180 = 14802.32 = (interest + Initial) = total

We need to identify a matrix X such that X1AX is in diagonal form in order to write A=[1 1 0 3] as XX1. One option is:

X = [1 1 1 0; 1 1 -1 0; 0 0 0 1; 1 -1 0 0]

Then, X⁻¹ = (1/4)[-1 1 -1 3; 1 1 1 -1; 0 0 0 4; -1 1 1 1]

X⁻¹AX = [5 0 0 0; 0 -1 0 0; 0 0 0 0; 0 0 0 -2]

A = X[5 0 0 0; 0 -1 0 0; 0 0 0; 0 0 0 -2] so.X⁻¹.

We must exponentiate each block of the diagonal matrix in order to determine eAt, so:

X[e5t 0 0 0; 0 e-t 0 0; 0 0 1 0; 0] = eAt

eA0 = X[e0 0 0 0; 0 e0 0 0; 0 0 1 0; 0 0 0 e0]X⁻¹

= X[I]X⁻¹

= AA⁻¹

= I

To find the derivative of eAt at t=0, we can use the formula:

d/dt(eAt)|t=0 = AXe0X⁻¹

= AXIX⁻¹

= A

Therefore, we have eA0 = I and d/dt(eAt)|t=0 = A.

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Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

2

Step-by-step explanation:

Hardest question ever.

To convert grams to pounds, we need to divide the mass in grams by 453.592, which is the number of grams in one pound. So, the mass is:25.0 g / 453.592 g/lb = 0.0551 lb. Therefore Option A

The conversion between grams and pounds is a common conversion in the field of measurement. The mass of an object is typically measured in grams, whereas the mass of larger objects, such as people or vehicles, is often measured in pounds.

To convert grams to pounds, we divide the mass in grams by the conversion factor of 453.592, which is the number of grams in one pound. This conversion factor is a constant and is based on the definition of a pound and a gram.

In this problem, the mass of the silver chain is given in grams as 25.0 g.

To convert this mass to pounds, we divide by 453.592:25.0 g / 453.592 g/lb = 0.0551 lb

Therefore, the mass of the silver chain in pounds is approximately 0.0551 lb.

It is important to note that the conversion factor between grams and pounds is an exact value, and therefore, the conversion between the two units is always accurate.

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Answer:

Number two

Step-by-step explanation:

it took the test

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:  B) 150

Step-by-step explanation:

\(\dfrac{Star\ B}{Star\ A}=\dfrac{6.3\times 10^{15}}{4.2\times 10^{13}}=\dfrac{6.3}{4.2}\times 10^{15-13}=1.5\times 10^2=\large\boxed{150}\)

The required amount each type of solution to make mixture are  120 ml of 25% acid and 80 ml of 50% acid.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

A liquid mixture known as an acidic solution is created when water and hydrogen ions react. The Brnsted-Lowry theory states that whereas bases "receive" hydrogen protons, acids "give" hydrogen protons. Different solutions have different levels of acidity.

Let there be (200 - x) ml of 50% acid and x ml of 25% acid.

200*0.35 = 0.25x+0.5(200-x)

0.25x +100 -0.5x = 70 

30 = 0.25x 

x=120

200 - x = 200 - 120 = 80, resulting in 120 ml of 25% acid and 80 ml of 50% acid.

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For the mixture, 120 ml of 25% acid and 80 ml of 50% acid are needed for each type of solution.

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The arc length of the semicircle is 5π units

From the question, we are to calculate the arc length of the semicircle

Arc length of a semicircle = 1/2 the circumference of the circle

∴ Arc length of a semicircle = 1/2 × 2πr

Arc length of a semicircle = πr

Where r is the radius

From the given information,

r = 5

∴ Arc length of the semicircle = 5 × π

Arc length of the semicircle = 5π units

Hence, the arc length of the semicircle is 5π units

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Answer:

the full circle one

Step-by-step explanation:

use the vertical line test. Hold up a pen on any given spot in the graph (the pen has to be vertical) and if it goes through the line in 2 or more different places its not a function

Answer:

64 degree

Step-by-step explanation:

The tangent is perpendicular to the normal. In case of circle the normal is the radius which passes from the center of the circle.

Here Angle BAC = 90 degree (as the angle between the tangent and normal)

Angle BAC = 26 degree,

The sum of all the angles in a triangle is 180 degree,

So,

angle BAC + angle ABC + angle ACB = 180 degree

26 degree + angle ABC + 90 degree = 180 degree

angle ABC = 64 degree

The given logarithms can be approximated to four decimal places through the methods discussed below.

log₇₈: To approximate log₇₈ to four decimal places, we can use a calculator and obtain the result as 1.0146.

log₁/₃ ₂: To approximate log₁/₃ ₂ to four decimal places, we can use the change of base formula. We can rewrite log₁/₃ ₂ as log₂ ₂ / log₂ ₓ, where x is the base. Evaluating this expression using a calculator, we find that log₁/₃ ₂ is approximately -1.5849.

log₉₇: To approximate log₉₇ to four decimal places, we can again use a calculator. The approximate value of log₉₇ is 1.9868.

In summary, the approximations of the logarithms are:

log₇₈ ≈ 1.0146

log₁/₃ ₂ ≈ -1.5849

log₉₇ ≈ 1.9868

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Answer:

0.56 radians or 5.71 radians

Step-by-step explanation:

7cos(2t) = 3

cos(2t) = 3/7

2t = (3/7)

Now, since cos is \(\frac{adjacent}{hypotenuse}\), in the interval of 0 - 2pi, there are two possible solutions. If drawn as a circle in a coordinate plane, the two solutions can be found in the first and fourth quadrants.

2t= 1.127

t= 0.56 radians or 5.71 radians

The second solution can simply be derived from 2pi - (your first solution) in this case.

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Hi, Hope this will help:)

Answer: it’s 3925

Step-by-step explanation:

Answer:

(18 + 36 + 27) = 9 x (2+4+3)

(88 + 66 + 22) = 22 x (4+3+1)

(36 + 96 + 12) = 12 x (3+8+1)

(126 + 28 + 14) = 14 x (9+2+1)

(54 + 81 + 27) = 27 x (2+3+1)

(16 + 28 + 48) = 4 x (4+7+12)

Step-by-step explanation:

The equations in the solution represent each expression as a multiple of a sum of whole numbers with no common factor.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

As per the given question, the required solution would be as:

(18 + 36 + 27) = 9 × (2+4+3)

This equation represents each expression as a multiple of a sum of whole numbers with no common factor.

Similarly further equations like as :

(88 + 66 + 22) = 22 × (4+3+1)

(36 + 96 + 12) = 12 × (3+8+1)

(126 + 28 + 14) = 14 × (9+2+1)

(54 + 81 + 27) = 27 × (2+3+1)

(16 + 28 + 48) = 4 × (4+7+12)

Thus, the above equations represent each expression as a multiple of a sum of whole numbers with no common factor.

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