ETA 4



Answer the following:



Myla bought an item P2,500. She decided to sell it wil 2% markup. How much will Myla’s selling price be?



Joan sold her old iphone for P5000 at 8% markdown rate. Find the markdown and the original cost of the phone.



A student assistant bought an item for P520 but later decided to sell it at P550. What is the markup?



Mother organize a garage sale and earned P120 on one item at 60% markdown. How much did mother buy the item?



The cost of a t-sirt from the manufacturer is P400. If loan wants a 30% markup based on the selling price, how much will her selling price be?

The mean of these numbers is 13.83 hours (14 hours to the nearest whole number)

Here, we want to calculate the mean number of hours

To do this, we simply add all the numbers and divide by the count of the numbers

The count of the numbers is 6

Thus, we have the calculation as follows;

ANSWER

• One foot of sod: $11

• One geranium: $11

EXPLANATION

First, name the variables:

• x: cost of 1 foot of sod

• y: cost of 1 geranium

We know that James spent $66 buying 2 feet of sod - which cost 2x, and 4 geraniums - which cost 4y.

Also, Amy spent $55 on 1 ft of sod - with a cost of x, and 4 geraniums - with a cost of 4x.

We have the system of equations,

Solve using elimination - i.e. subtract the second equation from the first,

Hence, one foot of sod costs $11.

To find the cost of one geranium we have to replace x = 11 in one of the equations. Replacing in the second equation,

And solve for y. Subtract 11 from both sides,

And divide both sides by 4,

Hence, one geranium costs $11

A is an arbitrary matrix in T(n), we know that A * A^T = F(1, n), where F(1, n) represents the n×n identity matrix.Therefore, we have shown that if T ∈ T(n), then T^2 = F(1, n).

To show that if T ∈ T(n), then T^2 = F(1, n), where T represents the transpose operator and F(1, n) represents the identity matrix of size n×n:

Let's consider an arbitrary matrix A ∈ T(n), which means A is a square matrix of size n×n.

By definition, the transpose of A, denoted as A^T, is obtained by interchanging its rows and columns.

Now, let's calculate (A^T)^2:

(A^T)^2 = (A^T) * (A^T)

Multiplying A^T with itself is equivalent to multiplying A with its transpose:

(A^T) * (A^T) = A * A^T

Since A is an arbitrary matrix in T(n), we know that A * A^T = F(1, n), where F(1, n) represents the n×n identity matrix.

Therefore, we have shown that if T ∈ T(n), then T^2 = F(1, n).

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Answer:

3/0

Step-by-step explanation:

to find the slope use rise over run or y-y/x-x, in this case, 2-(-1)/-6-(-6)the negative and the subtraction sign cancel out resulting in something like this: 2+1/-6+6 equaling 3/0

I hope this helps have a nice day

Answer:

2 * x = 12

Step-by-step explanation:

Answer:

2x = 12

Step-by-step explanation:

let the number be x then 2 times the number is 2x. so

2x = 12 ← in equation form

Answer:

32°

Step-by-step explanation:

use this formula :

Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:

Sin(x) = 28/53

Sin(x)= 0.5283018868

So to find x just do Sin^-1

x = Sin^-1 (0.5283018868)

you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚

if you put them into your calculator you will get 32˚ as your answer

Answer:

bruh i think EVERYBODY is at least failing one class rn

Step-by-step explanation:

Answer: It is $3.50.

Step-by-step explanation: There is one dollar bill in the picture. A dollar is shown as $1.00. There is 10 quarters on the picture. A quarter is equal to 25 cents. 25 times 10 equals 250 or $2.50. $1.00 plus $2.50 equals $3.50.

\(\huge\text{Hey there!}\)

\(\huge\textbf{Guide to follow:}\)
\(\mathsf{Quarter \rightarrow 0.25 \rightarrow 25 \ cents}\)

\(\mathsf{Dime \rightarrow 0.10 \rightarrow10 \ cents}\)

\(\mathsf{Nickel \rightarrow 0.05 \rightarrow 5 \ cents}\)

\(\mathsf{Penny \rightarrow 0.01 \rightarrow 1 \ cent}\)

\(\huge\textbf{Your equation:}\)

\(\mathsf{1.00 + 0.25 \times 1 + 0.05 \times 9}\)

\(\huge\textbf{Solving for your answer:}\)

\(\mathsf{1.00 + 0.25 \times 1 + 0.05 \times 9}\)
\(\mathsf{= 1.00 + 0.25 + 0.45}\)

\(\mathsf{= 1.25 + 0.45}\)

\(\mathsf{= 1.70}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\$1.70}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The probability that the jet ski is for two persons and has turbo packs is 10/29. The probability that the jet ski is not for two persons but has turbo packs is 8/29. The probability does not have turbo packs is 4/29.

To find the probabilities for the given events, we need to use the concept of set operations and the given information about the number of jet skis.

a. The event "The jet ski is for two persons and has turbo packs" corresponds to the intersection of the events T (two-person ski) and P (turbo packs). From the information provided, we know that 10 jet skis satisfy both conditions. Therefore, the probability is 10/29.

b. The event "The jet ski is not for two persons but has turbo packs" corresponds to the complement of the event T (two-person ski) intersected with the event P (turbo packs). Since there are a total of 29 jet skis and 10 of them satisfy both conditions, we have 29 - 10 = 19 jet skis left. Out of these, 8 jet skis have turbo packs but are not for two persons. Therefore, the probability is 8/29.

c. The event "The jet ski is for two persons but does not have turbo packs" corresponds to the complement of the event P (turbo packs) intersected with the event T (two-person ski). Since there are a total of 29 jet skis and 10 of them satisfy both conditions, we have 29 - 10 = 19 jet skis left. Out of these, 4 jet skis are for two persons but do not have turbo packs. Therefore, the probability is 4/29.

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The probability of drawing two jacks in a row from a deck of 52 cards without replacement is equal to option(B) 0.005.

Total number of cards in a deck = 52

Number of Jack in deck of cards = 4

Probability of getting a jack on the first draw is

= 4/52

Now, there are only 3 jacks remaining in a deck of 51 cards.

This implies,

Probability of drawing another jack on the second draw given that the first card was a jack

= 3/51

Probability of drawing two jacks in a row,

Multiply the probability of drawing

= (a jack on first draw by another jack on second draw given first card was a jack)

⇒ P(two jacks)

= (4/52) × (3/51)

= 1/13 × 1/17

= 1/221

= 0.00452489

= 0.005 (rounded to three decimal places).

Therefore, the probability of drawing two jacks in a row is equal to option(B) 0.005.

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The probability of drawing two jacks in a row from a deck of 52 cards without replacement is equal to option(B) 0.005.

Total number of cards in a deck = 52

Number of Jack in deck of cards = 4

Probability of getting a jack on the first draw is

= 4/52

Now, there are only 3 jacks remaining in a deck of 51 cards.

This implies,

Probability of drawing another jack on the second draw given that the first card was a jack

= 3/51

Probability of drawing two jacks in a row,

Multiply the probability of drawing

= (a jack on first draw by another jack on second draw given first card was a jack)

⇒ P(two jacks)

= (4/52) × (3/51)

= 1/13 × 1/17

= 1/221

= 0.00452489

= 0.005 (rounded to three decimal places).

Therefore, the probability of drawing two jacks in a row is equal to option(B) 0.005.

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Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

\(3z = \dfrac{5}{3}\)

\(\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10\)

The circumference of the circle is approximately 24.492 yards.

what is circumference ?

Circumference is the distance around the edge of a circle or any other closed curve. It is the perimeter of a circle and is often denoted by the symbol "C". The circumference is a key measurement when working with circles, as it can help us calculate the radius, diameter, and area of the circle.

The formula for the circumference of a circle is:

C = 2πr

where "C" is the circumference, "π" (pi) is a mathematical constant approximately equal to 3.14, and "r" is the radius of the circle.

A circle does not have a perimeter as it is a two-dimensional shape. However, it has a circumference, which is the distance around the circle.

To find the circumference of a circle with a diameter of 7.8 yards and using π as 3.14, we can use the formula:

Circumference = π × Diameter

Circumference = 3.14 × 7.8 yards

Circumference = 24.492 yards (rounded to three decimal places)

Therefore, the circumference of the circle is approximately 24.492 yards.

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Answer:

180 minus 60 equals 120

Step-by-step explanation:

1/3 of 180 equals 60 so you would take 60 out of 180 to get 120 and 120 would be the amount that she spent the rest of the weeks

Answer:

144 carrots

Step-by-step explanation:

Let C stand for the number of carrots that a student can plant.

We are told that carrots may be planted at a density of 9 carrots/ft^2.

Let A be the area, in ft^2, that can be planted with carrots.  The area of a rectangle is Base x Length (in feet).

We can therefore write:

C = (9 carrots/ft^2)*A

In the garden shown, the area is A = (4 ft) x (4 ft) = 16 ft^2

C = 9 carrots/ft^2)*(16 ft^2)

C = 144 carrots

So here area of square

\(\\ \rm\rightarrowtail x^2\)

So students can plant 9carrots

\(\\ \rm\rightarrowtail x^2=9\)

\(\\ \rm\rightarrowtail x=3\)

So let carrots be x

\(\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{4}{x}\)

\(\\ \rm\rightarrowtail \dfrac{1}{3}=\dfrac{4}{x}\)

\(\\ \rm\rightarrowtail x=12\)

Answer:

Pencils: 7 boxes

Erasers: 5 boxes

Step-by-step explanation:

She should buy 70 pencils and 70 erasers.

There are 7 pencil boxes for 70 pencils.

There are 5 eraser boxes for 70 erasers.

These are the smallest number of boxes she can buy without getting a fraction of a box.

The scale factor of the first circle with radius 9 in to that of the second circle with diameter 6 in  is  3.00

The scale factor of a circle to another is the ratio of their radii

Radius of the first circle = 9 in

Diameter of the second circle = 6 in

Radius = Diameter / 2

Radius of the second circle = 6 / 2

Radius of the second circle = 3 in

Scale factor = (Radius of the first circle) / (Radius of the second circle)

Scale factor = 9/3

Scale factor = 3.00 (2 decimal places)

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Given:

A figure.

To find:

The four line segments that have point B as an endpoint.

Solution:

If A and B are two points, then

Segment AB is written as \(\overline{AB}\).

Ray AB is written as \(\overrightarrow{AB}\). It means B is not the end point and the line is moving up to infinite.

Line segments that have point B as an endpoint are \(\overline{BA},\overline{BC},\overline{BH},\overline{BE},\overline{BF}\).

Only option B represents the four line segments that have point B as an endpoint.

Therefore, the correct option is B.

The average weight of the 60 riders on the rollercoaster is 180 pounds.

To find the average weight of the 60 riders on the rollercoaster, we can divide the total weight by the number of riders.

Given:

Total weight of the riders = 12,000 pounds

Now, let's determine the average weight.

To calculate the average weight, we need to know the distribution of men and women among the riders. Let's assume that the ratio of men to women is equal.

The average weight of adult U.S men is 192 pounds, and the average weight of adult U.S women is 168 pounds. Since the ratio is equal, we can take the average of these two values:

Average weight = (192 + 168) / 2

= 360 / 2

= 180 pounds

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Complete question is:

A rollercoaster is being designed that will accommodate 60 riders. the maximum weight the coaster can hold safely is 12,000 pounds. according to the national health statistics reports, the weight of adult U.S men have mean 192 pounds and standard deviation 66 pounds, and the weights of adult U.S women have mean 168 pounds and standard deviation 75 pounds. if 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight?

If you decide to conduct research to look for associations among variables, you are likely to find either no association or some association.

When conducting research to explore associations among variables, the outcome can vary. You may encounter situations where there is no significant association between the variables being studied. This means that the variables are independent of each other, and their values do not vary systematically or predictably in relation to one another.

On the other hand, you may also discover that there is some association between the variables. This indicates that there is a relationship or connection between the variables, and changes in one variable are related to changes in another variable.

It is important to note that the strength and nature of the associations can vary. Associations can be strong or weak, positive or negative, linear or nonlinear, depending on the specific research question and the variables under investigation.

When conducting research to explore associations among variables, it is likely that you will find either no association or some association. The specific outcome will depend on the nature of the variables and the analysis conducted. It is essential to interpret the results carefully and consider the context and limitations of the study when drawing conclusions about the associations observed.

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An inscribed angle is formed by two chords of a circle that intersect at a vertex located on the circle.

The angle itself is formed by the two sides of the angle, which are the line segments connecting the vertex to the endpoints of the chords. The property that makes inscribed angles interesting is that the measure of an inscribed angle is half the measure of the intercepted arc on the circle.

This relationship holds true for any inscribed angle in a circle, making it a useful concept in geometry for solving problems involving angles, arcs, and circles.

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The margin of error (M.E.) for the given sample is approximately 0.0778 or 7.78%. Sample proportion (p) = 79.1%, Sample size (n) = 306, Margin of error (M.E.) = 0.0778 or 7.78%.

To calculate the margin of error (M.E.) for estimating a population proportion, we can use the following formula:

\(\[ M.E. = Z \cdot \sqrt{\frac{p \cdot (1 - p)}{n}} \]\)

Where:

- Z is the z-score corresponding to the desired confidence level

- p is the sample proportion

- n is the sample size

In this case, the sample size (n) is 306, the sample proportion (p) is 79.1% (or 0.791), and the confidence level is 99.5% (which corresponds to a z-score of 2.807). Let's calculate the margin of error:

\(\[ M.E. = 2.807 \times \sqrt{\frac{0.791 \times (1 - 0.791)}{306}} \approx 0.0778 \]\)

Therefore, the margin of error (M.E.) that corresponds to a sample of size 306 with 79.1% successes at a confidence level of 99.5% is approximately 0.0778 (or 7.78%).

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Answer:

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

Answer:

x = 3

Step-by-step explanation:

With these 2 equations we can do some substitution. Both of them equal h(x) so we can put them equal to each other like this:

-x + 3 = 0

Now, just solve!

-x = -3

x = 3

Therefore, x is equal to 3.

I hope this helps!!

- Kay :)

Answer:

grjryejtrn4hrhrjrj4sjtj3a

Answer:

1.) 0.357142857

2.)  2.2

3.) 1.35

Step-by-step explanation:

Answer:

yes, Send me your questions

Answer:

AD = 85

Step-by-step explanation:

AD = AB + BC + CD ( substitute values , noting AB = CD = 20 ) , then

AD = 20 + 45 + 20 = 85