Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $400.00.

On Saturday, the store will have a sale and discount the computer by 30%.



Shoppers who buy a computer that same Saturday before 9:00 a.m. will also receive an additional 10% off the sale price.

How much will Lea pay, without tax, when she buys the computer that Saturday before 9:00 a.m.?

The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.

A graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.

In the given problem, we have two linear equations which are

y = 3x - 6 ...eq(i)

y = 2/5x + 5 ...eq(ii)

Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.

The coordinates to the nearest integer are (x, y) 4 and 7

The value of x is 4 and y is 7

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Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

Answer:

10x=1/2(x+3)

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

Answer:

\(\displaystyle 3x^2 + x\)

Explanation:

All you are doing is combining like-terms:

\(\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1]\)

I am joyous to assist you at any time.

Answer:

The answer is 4

Step-by-step explanation:

yeeeeeeeee

Answer:

4

Step-by-step explanation:

25% of 16

Change the percent to decimal form.

.25 * 16

4

The expected vertical load on the foundation is  option b) 1500 PSF (pounds per square foot)

To calculate the expected vertical load on the foundation, we need to consider the weight of the concrete and the height of the wall.

The weight of the concrete can be determined using the unit weight of concrete, which is given as 150 pounds per cubic foot (PCF). Since the wall is 10 feet tall, we can calculate the weight of the concrete per square foot of the wall.

Weight of concrete per square foot = unit weight of concrete * height of the wall

Weight of concrete per square foot = 150 PCF * 10 feet = 1500 pounds per square foot (PSF)

Therefore, the expected vertical load on the foundation is 1500 PSF (option b).

This means that for every square foot of the foundation, it is expected to bear a load of 1500 pounds due to the weight of the poured concrete.

It is important to note that factors such as soil conditions, additional loads, and structural considerations may influence the actual load on the foundation. It is recommended to consult with a structural engineer for precise calculations and design requirements.

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Answer:

x > -1

Step-by-step explanation:

-10 < x - 9 add 9 to both sides of the inequation

9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:

-1 < x  and x > -1

Answer: for C it is that 1/2 is half of an whole therefore 1/2 is  half is less than the rest

for D you will have to add more 1/2 for it to be greater than but for now, it is less than.

for E you will have to add more 1/2 for it to be greater than

The exponential function that goes through the points (0, 14) and (3, 896) is y = 14·3ˣ. This function has a base of 3 and a coefficient of 14.

An exponential function in the form y =abˣ is a function

where y is equal to a multiplied by b raised to the power of x.

To find the function that goes through the points (0, 14) and (3, 896),

We can write the following equation to find the base of the exponential function that goes through the points (0, 14) and (3, 896):

b³ = 896/14

We can then solve for b by taking the cube root of both sides of the equation to get:

b = 3

Now that we know the base of the function, we can use the point (0, 14) to find the value of the coefficient a.

Since the x-value of this point is 0, we can plug 0 in for x in the exponential function y=abˣ to get:

y = ab⁰ = a

Since the y-value of the point (0, 14) is 14, we can set this equal to a to solve for the value of a:

a = 14

So, the exponential function is y = 14·3ˣ

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The surface area of the wood Cannot be determined.

However, even with the answer options given, it is not possible to determine the surface area of the wood without additional information. The surface area of a piece of wood depends on its dimensions and shape, and the answer options given do not provide any information about these factors.

For example, a rectangular piece of wood with dimensions 4 inches by 3 inches by 4 inches would have a surface area of 52 square inches, which is not among the answer options provided. On the other hand, a cube-shaped piece of wood with dimensions 3 inches by 3 inches by 3 inches would have a surface area of 54 square inches, which is also not among the answer options provided.

Therefore, the correct answer is still "Cannot be determined".

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60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

To solve this problem, we need to use the formula for standard deviation:
z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, we know that the mean score is 82, and your exam score is 2.12 standard deviations below the mean. So we can set up the equation:
z = (x - 82) / σ = -2.12

Now we need to find the possible values of x (your exam score) that satisfy this equation. We can rearrange the equation to solve for x:
x = z * σ + μ

Plugging in the values we know, we get:
x = -2.12 * σ + 82

We don't know the value of σ, so we can't solve for x exactly. But we can use some logic to eliminate some of the answer choices.

Since your exam score is below the mean, we know that x < 82. That means we can eliminate answer choices (a) and (b), since they are both above 82.

To eliminate answer choices (c) or (d), we need to know whether 2.12 standard deviations below the mean is less than or greater than the value of σ.

If σ is relatively small, then a score that is 2.12 standard deviations below the mean will be much lower than 70 or 80. But if σ is relatively large, then a score that is 2.12 standard deviations below the mean could be closer to 70 or 80.

Unfortunately, we don't know the value of σ, so we can't say for sure whether (c) or (d) is a possible answer. However, we can make an educated guess based on the range of possible values for σ.

Since the standard deviation of exam scores is typically in the range of 10-20 points, we can assume that σ is at least 10.

With that assumption, we can calculate the minimum possible value of x:
x = -2.12 * 10 + 82 = 60.8

Since 60.8 is less than 70 or 80, we can eliminate answer choices (c) and (d) as possible answers.

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Answer:

Step-by-step explanation:

1)  length = x m

breadth = x/2 m

Area of rectangular floor = 32 square m

\(length * breadth = 32\\\\x*\dfrac{1}{2}x = 32\\\\\\x^{2}=32*2\\\\\\x^{2} = 64\\\\x=\sqrt{64}=\sqrt{8*8}\\\\x = 8 \ m\)

Length = 8 m

Breadth =8/2 = 4 m

Perimeter = 2*(length + breadth) = 2*(8 + 4)

                = 2*12

                = 24 m

2) Perimeter of square = 12 cm

Side of a square = perimeter ÷ 4 = 12 ÷ 4 = 3 cm

Area =side *side = 3*3 = 9 cm²

3) Perimeter of square field = 60 m

Side = Perimeter ÷ 4 = 60 ÷4 = 15 m

Area of square = 15 * 15 = 225 m²

4) Perimeter of rectangle = 28 cm

breadth = (Perimeter ÷ 2) - length

             = (28 ÷2) - 8

             = 14 - 8

Breadth = 6 cm

Area of rectangle = 8 * 6 = 48 cm

\(\bold{\huge{\pink{\underline{ Solutions }}}}\)

We have,

Let the length of the rectangular field be x

So,

Breath of the rectangular field will be x/2

We know that,

\(\bold{\red{Area \: of \: rectangle = length}}{\bold{\red{\times{ Breath}}}}\)

Subsitute the required values,

\(\sf{32 = x }{\sf{\times{\dfrac{x}{2}}}}\)

\(\sf{32 = }{\sf{\dfrac{x^{2}}{2}}}\)

\(\sf{ 32}\sf{\times{ 2 = x^{2}}}\)

\(\sf{ 64 = x^{2}}\)

\(\bold{ x = 8 m}\)

Thus, The length of rectanglular field is 8m

Therefore,

Breath of the rectangular field will be

\(\sf{=}{\sf{\dfrac{8}{2}}}\)

\(\bold{ = 4 m }\)

We have to find the perimeter of the given rectangular field

We know that,

Perimeter of the reactangle

\(\bold{\blue{ = 2( L + W) }}\)

Subsitute the required values in the above formula :-

Perimeter of the rectangular field

\(\sf{ = 2( 8 + 4) }\)

\(\sf{ = 2}{\sf{\times{12}}}\)

\(\bold{ = 24 m}\)

Hence, The perimeter of the rectangular field is 24 m

We have

Let the side of the square be x

We know that,

\(\bold{\pink{ Perimeter\: of\: square = 4 }}{\bold{\pink{\times{ side}}}}\)

Subsitute the required values in the above formula :-

\(\sf{12 = 4 }{\sf{\times{ x }}}\)

\(\sf{\dfrac{ 12}{4}}{\sf{ = x }}\)

\(\bold{ x = 3 cm}\)

Thus, The length of the square is 3 cm

We have to find the area of square

We know that,

\(\bold{\red{Area \: of \: square = Side }}{\bold{\red{\times{ Side}}}}\)

Subsitute the required values,

Area of square

\(\sf{ = 3 }{\sf{\times{ 3 }}}\)

\(\sf{ = 9 cm^{2}}\)

Hence , The length and area of square is 3cm and 9 cm²

We have

Let the side of the square feild be x

We know that,

\(\bold{\pink{ Perimeter\: of\: square = 4 }}{\bold{\pink{\times{ side}}}}\)

Subsitute the required values,

\(\sf{60 = 4 }{\sf{\times{ x }}}\)

\(\sf{\dfrac{ 60}{4}}{\sf{ = x }}\)

\(\bold{ x = 15 m }\)

Thus, The side of the square feild is 15m

We have to find the area of square

We know that,

\(\bold{\red{Area \: of \: square = Side }}{\bold{\red{\times{ Side}}}}\)

Subsitute the required values,

Area of square

\(\sf{ = 15 }{\sf{\times{ 15 }}}\)

\(\sf{ = 225 cm^{2}}\)

Hence, The area of square feild is 225 cm²

We have,

Let the breath of the rectangle be x

We know that,

\(\bold{\blue{Perimeter\:of\: rectangle= 2( L + W) }}\)

Subsitute the required values,

\(\sf{ 28 = 2( 8 + x) }\)

\(\sf{ 28 = 16 + 2x }\)

\(\sf{ 28 - 16 = 2x }\)

\(\sf{ 12 = 2x }\)

\(\sf{\dfrac{ 12}{2}}{\sf{ = x }}\)

\(\bold{ x = 6 cm}\)

Thus, The breath of the rectangle is 6 cm

We have to find the area of rectangle

We know that,

\(\bold{\red{Area \: of \: rectangle = length}}{\bold{\red{\times{ Breath}}}}\)

Subsitute the required values,

Area of rectangle

\(\sf{= 8 }{\sf{\times{6}}}\)

\(\sf{ = 48 cm^{2}}\)

Hence, The breath and area of rectangle is 6cm and 48 cm² .

[ Note :- Kindly refer app for better understanding ]

Answer:

(1, 6.71)

Step-by-step explanation:

I'm assuming that you need to solve this by substitution or elimination since you didn't include any context in your question, just the equations.

To solve this by elimination, first, decide on a variable you want to get rid of / cancel out. I chose y. To do this, you need to find the least common multiple (LCM) of 7 and 5, which is 35. Now, multiply the top equation, 21x + 7y = 42, by -5. Multiply the bottom equation, -5x + 5y = 10, by 7. Make sure when you multiply that you either make the 5 or the 7 negative so you can cancel out y. I chose to make 5 negative.

After you multiply by the -5 and the 7, rewrite your new equations:

-105x - 35y = -210

-35x + 35y = 70

Now, add the two equations together. When you do this, the y's cancel out and you're left with -140x = -140. Now, divide both sides by -140, and you're left with x = 1. Plug the value of x into one of your original equations. I chose the bottom equation, -5x + 5y = 10.

-5(1) + 7y = 42   ----->   -5 + 7y = 42.

Add -5 to both sides, which gives you 7y = 47. Divide both sides by 7, which gives you y = 6.71.

The last step is to put the values of x and y into a point: (1, 6.71).

Hope this helps!

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Answer:

3 words/minute

Step-by-step explanation:

(27 words)/(9 minutes) = 3 words/min

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

The probability that a randomly selected person is infected with disease D is 11%. This is calculated based on the given information regarding the occurrence of minor cold-like symptoms and the associated probabilities of being infected with D.

Let's denote the event of experiencing minor cold-like symptoms as S, and the event of being infected with disease D as D. We are given that P(S) = 0.2 (20% of people experience these symptoms).

We also know that within the group of people experiencing symptoms (S), P(D|S) = 0.35 (35% chance they are infected with D), and within the group of people not experiencing symptoms (~S), P(D|~S) = 0.05 (5% chance they are infected with D).

To find the probability of being infected with D, we can use Bayes' theorem:

P(D) = P(D|S) * P(S) + P(D|~S) * P(~S)

Substituting the given values:

P(D) = 0.35 * 0.2 + 0.05 * (1 - 0.2)

Simplifying:

P(D) = 0.07 + 0.05 * 0.8
P(D) = 0.07 + 0.04
P(D) = 0.11

Therefore, the probability that a randomly selected person is infected with disease D is 0.11, or 11%.

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Answer:

Step-by-step explanation:

The formula for the area of a circle is:

A = πr^2

where A is the area, π (pi) is approximately 3.14, and r is the radius.

Substituting the given radius of 17 inches into the formula, we get:

A = 3.14 × 17^2

A = 3.14 × 289

A = 907.06

Therefore, the area of the circle is approximately 907.06 square inches.

Answer:

907.46

Step-by-step explanation:

Area of a circle formula is πr^2

It says the radius is 17

**Simplify**

(3.14)(17)^2=907.46

The model is a representation of the polynomial factors using algebraic

tiles.

The equation represented by the model is the option;

Reasons:

The parameters of the model of the polynomial and the factors of the

polynomial are;

The number of factors of the polynomial = 2

1 of the four tiles is labelled x

3 of the four tiles is labelled -ve

Therefore;

A factor of the polynomial is x-tile, -tile, -tile, -tile = (x tile - 3 tiles) = (x - 3)

1 of the two tiles is labelled x

1 of the two tiles is labelled -ve

Which gives;

A factor of the polynomial is x, -tile = (x-tile - 1 tile) = (x - 1)

The 8 tiles are as follows;

1 of the 8 tiles is labelled x²

4 of the 8 tiles are labelled -x

3 of the 8 tiles are labelled +

Which gives;

The product of the polynomial is; (x²-tile - 4·x-tiles + 3-tiles) = (x² - 4·x + 3)

Multiplying the factors gives;

(x - 3) × (x - 1) = x² - 3·x - x + 4 = x² - 4·x + 3

The correct option is therefore;

The question options are;

x² - 2·x - 3 = (x - 3)·(x + 1)

x² - 4·x + 3 = (x - 3)·(x - 1)

x² + 2·x + 3 = (x + 3)·(x - 1)

x² + 4·x - 3 = (x + 3)·(x + 1)

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Answer:

Hope that answers your question, good luck in the future

Answer:

492.75

Step-by-step explanation:

Given graph is satisfied by System A.

Inequality refers to formulas or equations that define relationships (such as less than, larger than, etc.).

As for Type 1:

Consider the location (3,1) for y>2x.

1 > 6, which is false Hence Since the area opposite point (3,1) will satisfy the equation and since y > 2x and not y 2x, a dotted line will be drawn on the graph.

Consider (-3, -4) for x + 2y -8.

⇒ -3 + 2(-4) ≤ -8

Since x + 2y -8 and not x + 2y -8 is the correct equation, the area containing the points (-3, -4) will be included, and the line of the graph will be solid.

The presented figure is formed by these two equations.

Therefore, System A is accurate.

The Complete Question is inequality.

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The Answer Is AB=20.25

27/16=x/12

x=20.25

Answer:

38

Step-by-step explanation:

Since he wants to have equal number of rows and columns..the number of plants must be a root number. 6203 is not a root number. 6241 is the closest root number

(√6241= 79)

So he needs a minimum of 6241 plants in total for it.

6241-6203= 38

Therefore he needs 38 more plants

Answer:

6m + 18 ≥ 42

Step-by-step explanation:

6m + 18 ≥ 42

------

No of miles per day=m

Total days=6

Target=42

Finished=18

Inequality

Answer:

Well, I can't see the graph but the y-intercept is the point on the line to where if you are on 0 either go up or down and the point the line is on is the y-intercept.

Answer:

.75

Step-by-step explanation:

trust meeeeee

The total grams is calculated by converting the weight to kilograms, multiplying it by the infusion rate and duration the amount to be pushed is found by  dividing the total amount by the total time in seconds.

a) To calculate the total grams of the drug the patient will receive, we first convert the patient's weight from pounds to kilograms:

170 lb × (1 kg/2.2046 lb) = 77.111 kg

Next, we multiply the weight in kilograms by the infusion rate in mg/kg/min and the duration in minutes:

77.111 kg × 0.05 mg/kg/min × 30 min = 115.6665 mg

Finally, we convert the result to grams by dividing by 1000:

115.6665 mg × (1 g/1000 mg) = 0.1157 g

Therefore, the patient will receive approximately 0.1157 grams of the drug

b) To determine the amount of digoxin to be pushed every 30 seconds, we first convert the total amount from minutes to seconds:

5 min × 60 s/min = 300 s

Then, we divide the total amount (0.6 mg) by the total time in seconds:

0.6 mg / 300 s = 0.002 mg/s

Since the concentration of the digoxin vial is 0.1 mg/mL, we can convert the result to milliliters by dividing by the concentration:

0.002 mg/s / 0.1 mg/mL = 0.02 mL/s

To find the amount to be pushed every 30 seconds, we multiply the rate per second by the time in seconds:

0.02 mL/s × 30 s = 0.6 mL

Therefore, every 30 seconds, you should push 0.6 mL of the digoxin solution.

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