What is the value of p?

Answer:

Purchases greater than 66.67 dollars should use coupon 2, while purchases between 20 dollars and 66.67 should use coupon 1.

Step-by-step explanation:

Coupon 1 must be used as long as those 10 dollars represent more money than 15% of coupon 2.

For example, if the purchase is the minimum of $ 20, 10 dollars represents half of the purchase, therefore in this case it is better to use coupon 1.

In this case, coupon 2 would only be a discount of 3 dollars (20 * 0.15).

So when from what value would it be better to use coupon 2, it would have to be calculated when it is worth more than 10 dollars.

10 = x * 0.15

x = 10 / 0.15

x = 66.67

That is to say that from the purchases greater than 66.67 dollars, coupon 2 would have a discount equivalent to 10 dollars or more.

The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.

∠1 + 88 = 180°( angles on a straight line)

∠1 = 180 - 88 which is 92°

∠3 = 64°( corresponding angles are equal)

∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)

∠2 + 92° + 64° = 180

∠2 = 180 - 92 - 64

∠2 = 24°

∠4 + 81 + ∠3 = 180 ( angles on a straight line)

∠4 + 81 + 64 = 180

∠4 = 180 - 64 -81

∠4 = 35°

∠5 = 81°( alternate angles are equal)

In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.

Learn more about angles: https://brainly.com/question/25716982

#SPJ1

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

To learn more about : equation

https://brainly.com/question/17145398

#SPJ11

Answer:

\(x^{2} -49\)

Step-by-step explanation:

Answer:

\((x-7)(x+7) =x^2 -7^2 = x^2 -49\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

Question:

Identify the like terms in the algebraic expression

\(\frac{2x}{5} -5.2y +2.2 + \frac{x}{3}\)

Answer:

The like terms in the given expression are \(\frac{2x}{5}\) and \(\frac{x}{3}\)

Step-by-step explanation:

Given:

\(\frac{2x}{5} -5.2y +2.2 + \frac{x}{3}\)

Required:

Identify the like terms

To solve this, we need to understand what like term is all about.

Like term simply refer to terms or entities that have the same variable and exponents (power)

From the expression above, there are two variables;

x and y.

To get the like terms of x and/or y;

we simply look for another occurrence of x and/or y in the expression; and this occurrence must have the same exponent as x and/or y.

For x

\(\frac{2x}{5}\) and \(\frac{x}{3}\) have the same variable and exponent; Hence, they are like terms

There's only one occurrence of variable y;

Conclusively, the like terms in the given expression are \(\frac{2x}{5}\) and \(\frac{x}{3}\)

2x/5 and -5.2y

hope this helps

Check the picture below.

the lengths of the corresponding horizontal lines is the same on each figure, 4 and 1.

the slope in red is the same for both figures, and the slope in yellow is the same on each figure, meaning the slanted sides on each figure is also the same length.

so the lengths in each figure is the same and the angles are also the same, so the shapes are congruent, and since they're congruent the scale factor will simply be 1 to 1 or 1:1, since neither is smaller or larger than the other.

Answer:

x = 89

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

45 = 1/2 AB

90 = arc AB

Angle Formed by Two Chords

= 1/2 ( sum of Intercepted Arcs)

x = 1/2 ( 88+ 90)

x = 1/2 (178)

x = 89

The distance between points A and B is 677.3 feet when a boat begins its journey out to sea 1315 feet away from a lighthouse or the shore.

What is an angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

Here, we have

Given: At Point A, a boat begins its journey out to sea 1315 feet away from a lighthouse or the shore. The boat's crew calculates the elevation angle to the lighthouse's beacon light from that position to be 12 degrees. The team later determines that the angle of elevation from point B is 8°.

We have to calculate the distance between points A and B.

We know that,

From point A,

Tanθ = opposite/adjacent

Opposite is the height from the sea to the lighthouse

Adjacent is horizontal from the boat to the LH = 1315 feet

Height from sea to the lighthouse = tan12°×1315 = 279.5 ≈ 280 feet

From point B,

Tanθ = opposite/adjacent

Opposite is the height from sea to the lighthouse = 280 feet

Adjacent is horizontal from boat B to the LH

Horizontal from boat B to the LH = 280/tan8  = 1992.3 feet.

Distance from A to B = Horizontal distance from B to LH - Horizontal distance from A to LH

Distance from A to B = 1992.3 feet - 1315 feet = 677.3 feet

Hence, The distance between points A and B is 677.3 feet when a boat begins its journey out to sea 1315 feet away from a lighthouse or the shore.

To learn more about the angle of elevation from the given link

https://brainly.com/question/12702806

#SPJ1

Answer:  If we take the aerobics class, then we will be in good shape for the ski trip

===============================================

Explanation:

The conditional statement in bold is of the form "If P, then Q" where

P and Q are placeholders for logical statements, in much a similar fashion that x = 2 has x as a placeholder for the number 2.

we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

Step by step explanation:

Cramer's rule is used to solve a system of linear equations with n equations in n variables.The basis of this method is matrices and determinants, so we need to understand these two concepts first in order to be able to apply Cramer's Rule in finding solutions to a system of linear equations.

sorry if wrong

I hope this helps

Answer:

128 yards^2

Step-by-step explanation:

So basically you just need to find the area of the room and then con vert it into yards.

24 ft x 16 ft = 384 ft^2

1 yard = 3 feet

384/3 = 128

128 yards^2

Hope this helps and have a good day!

42.7 yard² square yards of carpeting are needed to replace the carpeting in their master bedroom

3 feet = 1 yard

The length of bedroom = 24 ft. = 24 ft. * 1/3 yard per feet

Length of bedroom = 8 yards

Width of bedroom = 16 ft. = 16 ft. * 1/3 yard per feet

Width of bedroom = 16/3 yards

The area of the masters bedroom is:

Area = length * width

Area = 8 yards * 16/3 yards

Area = 42.7 yard²

Hence 42.7 yard² square yards of carpeting are needed to replace the carpeting in their master bedroom

Find out more at: https://brainly.com/question/20898622

The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

1/8³ = 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

Learn more on exponents here: https://brainly.com/question/29831670

#SPJ1

Answer:

4 1/4

Step-by-step explanation:

Convert 5 2/3 to an improper fraction. 3 x 5 = 15 + 2=17

17/3 x 3/4 = 51/12= 4 1/4 of the remaining pizza will be eaten

Answer: 4 1/4

Step-by-step explanation:

Exterior angle c = the sun of the two opposite interior angles a and b.

10x -23 = 5x -17 + 7x -26

Combine the right side:

10x -23 = 12x -43

Add 43 to both sides:

10x +20 = 12x

Subtract 10x from both sides:

20 = 2x

Divide both sides by 2

X = 10

Now you have x replace it in the equation for A:

A = 5x -27 = 5(10) -27 = 50-27 = 23

Angle A = 23 degrees.

Answer:

thats all i know so far. i dont know if you are adding or multiply but if adding then the answer is -647. if your multiplying then the answer is -5,651,100.

Step-by-step explanation:

A- (5x - 27)= -137

B-(7x - 26)= -182

C-(10x 23)= -230

Answer: $252

Step-by-step explanation:

21$ an hour x 12 hours = $252 total :)

Answer:

She earned $252 thsi month.

Step-by-step explanation:

1  hour = $21

12 hours = $?

21*12 = 252

Answer:

y=-7x+3

since the formula is y=mx+b where m is the slope and b is the y-intercept.

Answer:

35,694

35,981

35,102

Step-by-step explanation:

If you're using the hundreds place for comparison, it means the digits in higher places are the same, and that digits in the hundreds place are different.

This will be true for any 5-digit number of the form ...

 (3)(5)(not 7)(something)(something).

The numbers might have digits to the right of the decimal point, but those are irrelevant, as are the digits in the 10s and 1s places.

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

If initial sample of 458 grams of a radioactive substance decays according to the function \(A(t)=458e^{-0.038t}\) then the half-life of the substance is 0.

Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.

Given,

An initial sample of 458 grams of a radioactive substance decays according to the function

\(A(t)=458e^{-0.038t}\)

We need to find the half life

\(458=458e^{-0.038t}\)

Divide both sides by 458

\(1=e^{-0.038t}\)

Take log on both sides

\(log1=-0.038t\)

0=-0.038t

t=0

Hence, the half-life of the substance is 0.

To learn more on Half life click:

https://brainly.com/question/24710827

#SPJ1

Answer:

8:39

Step-by-step explanation:

because when simplified, all the rest are 1:5

Answer:

A

Step-by-step explanation:

More than $0 but less than $2800

The correct option is (A).

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

Given:

Deandra traded $2800 for Swiss francs.

So, she would have More than $0 but less than $2800.

This is because she will not get the same amount back she has only has more than 0 and less than 2800.

Learn more about data here:

https://brainly.com/question/10980404

#SPJ2

The appropriate sales journal entry for the building plans prepared for Spangler Construction Company is as follows:

Debit Accounts Receivable (Spangler Construction Company) $900

Credit Drafting Fees Earned $900

(To record the revenue from drafting fees.)

Sales or service journals are used to record sales or service revenue transactions.

When the services are performed on credit, the Accounts Receivable account is debited while the Service Revenue account is credited.

Accounts Receivable (Spangler Construction Company) $900 Drafting Fees Earned $900

Thus, the above demonstrates the appropriate recording of the service revenue transaction in the sales/service revenue journal.

Learn more about sales journals at https://brainly.com/question/14279491

#SPJ1

Prepare the appropriate journal entry.

Answer:

Step-by-step explanation: