What is the solution to the system of equations? (5, 0) (0, 5) (0, –5) (–5, 0)

Hello.

First, let's clarify what the G.C.F. means.

It means "Greatest Common Factor"

So, let's find the Greatest Common Factor of 15 and 48.

First, let's list all the factors of 15:

1, 3, 5, 15

Here are the factors of 48:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Therefore, the GCF of 15 and 48 is 3.

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

16-6=10

Step-by-step explanation:

Answer: asically plot down each from the least

Step-by-step explanation:

Answer:

360° 32 I belive?

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Refer to the images attached.

Answer: 70.9 miles per hour

Step-by-step explanation:

The total distance traveled is 1188 miles (66313- 65125).

Since this was over 16.75, you'll want to divide 1188 by 16.75.

1188/16.75 = 70.9253731

And then round that off to 70.9

Answer:

30

Step-by-step explanation:

42 cakes = 7 days

? cakes = 1 day

= 6 cakes in one day

then just multiply by 5 days

answer: 30 cakes

Answer:

30

Step-by-step explanation:

Answer:b

Step-by-step explanation:

(a) The slope of the linear cost function C(x) = 5x + 250 is 5, and the C-intercept is 250. (b) The marginal cost represents the additional cost incurred for producing one more unit. In this case, the marginal cost is the same as the slope, which is 5. It means that for each additional item produced, the cost increases by $5. (c) The fixed costs are represented by the C-intercept, which is 250. These costs do not depend on the quantity produced and remain constant.

(a) The linear cost function C(x) = 5x + 250 is in the form y = mx + b, where m represents the slope and b represents the y-intercept (C-intercept in this case). Thus, the slope is 5, and the C-intercept is 250.

(b) The marginal cost represents the rate of change of the cost function with respect to the quantity produced. In this case, the marginal cost is equal to the slope of the cost function, which is 5. It means that for each additional unit produced, the cost increases by $5.

(c) Fixed costs are the costs that do not vary with the quantity produced. In the linear cost function, the fixed costs are represented by the C-intercept, which is 250. These costs remain constant regardless of the quantity produced.

(d) The answers to parts (a), (b), and (c) are related because they all provide information about the cost function. The slope represents the marginal cost, indicating how the cost changes as the quantity produced increases. The C-intercept represents the fixed costs, which are constant and independent of the quantity produced.

(e) To find the cost of producing one more item when 50 items are currently being produced, we can use the marginal cost. Since the marginal cost is 5, it means that producing one more item would incur an additional cost of $5. Therefore, the cost of producing one more item when 50 items are currently being produced is $5.

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Ella spent her entire allowance of $2.00, plus 16 cents she had from last week, on bubble gum. If the gum had been a penny cheaper, she would have received three more pieces. The task is to determine how many pieces of gum Ella actually bought.

Let's assume the original price of each piece of gum is x cents. Ella spent her entire allowance of $2.00, which is equivalent to 200 cents. Additionally, she had 16 cents left over from last week, so the total amount she could spend on gum is 216 cents.

According to the given information, if the price of each piece of gum had been 1 cent less, Ella would have received three more pieces. This implies that with the original price, she bought three fewer pieces than she would have at the discounted price.

To find the number of pieces Ella actually bought, we need to set up an equation based on the given information. Let's denote the number of pieces Ella bought as n. The equation can be expressed as:

x * n = (x - 1) * (n + 3)

Simplifying this equation, we find:

n = 3x - 3

Substituting the value of n into the total amount spent equation:

x * n = 216

x * (3x - 3) = 216

Solving this equation will yield the value of x, which represents the original price of each piece of gum. Once we know the price, we can calculate the number of pieces Ella actually bought by dividing the total amount spent by the price per piece.

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Answer:

Find the appropriate form for your objective function Then you will describe which solvers can handle complex then, you pass the extra Parameters finally, the function argument details.

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a).

If two events "A" and "B" are such that the occurrence of either one of the two events before the occurrence of another event affects the event occurring later, the probability that event "A" will happen given that the event "B" has occurred is:

\($P(A \mid B)=\frac{P(A \cap B)}{P(B)}$$\)

a) The likelihood that the person bought a small cup, P(S) = 0.34

The likelihood that the person bought a cup of decaf coffee, P(D) = 0.40

b) If the selected individual purchased a small cup then the probability that he/she chose decaf coffee:

\($P(D \mid S) & =\frac{P(S \cap D)}{P(S)} \\\)

\($& =\frac{0.20}{0.34} \\\)

= 0.5882

If it is a tiny cup, the likelihood that someone bought a decaf coffee is 0.5882.

c) If we learn that the selected individual purchased decaf, the probability that small size was selected

\($P(S \mid D) & =\frac{P(S \cap D)}{P(D)} \\\)

= 0.20/0.40

= 0.5000

When compared to the equivalent unconditional probability of part(a),

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a). If the coffee is decaf, there is a chance that the buyer only bought a little cup.

The complete question is:

The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk.

Consider randomly selecting such a coffee purchaser.

a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?

b. We learn that the selected individual purchased a small cup. What now is the probability that he/she chose decaf coffee, and how would you interpret this probability?

c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?

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Answer: C, D, and F

-> C. Quadrilateral

-> D. Parallelogram

-> F. Rectangle

Step-by-step explanation:

-> A. Square

     [✗] A square needs 4 congruent sides, this only has "two sets of two"

-> B. Trapezoid

     [✗] A trapezoid has one pair of parallel sides, but this shape has two

-> C. Quadrilateral

     [✓] This shape has four sides

-> D. Parallelogram

     [✓] This shape's opposite sides are congruent and parallel

-> E. Rhombus

     [✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent

-> F. Rectangle

     [✓] This shape has four sides, and it's opposite sides are congruent

Answer:

19 weeks of lessons needed

Step-by-step explanation:

(33-14) divided by 1 = 19

14=pieces he already knows

19=number of weeks of lessons needed to be able to sing 33 pieces

you divide by 1 because he learns 1 new piece each week of lessons.

I hope this helps! :)

The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).

To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.

Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.

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Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope of the given line is \(\frac{2}{3}\).

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

\(= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}\)

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The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Explanation:

The sign of the product of any odd number of negative integers is positive because when two minuses are multiplied with each other, it will result in a positive number.

For example:

Hoped this helped!

We've got a negative slope, but it doesn't look steep enough to go through 6 on the y-axis.

So, it's the last option:

y = - 1.25x + 5.75

Hope this helps!

The  GCF of 140 and 180 in the question can be expressed as 20.

The concept that will be used in the calculation is the concept of the Prime factorization.

Prime factorization  can be described as the way that can be used to find the prime factors of a number , making sure that the  original number is evenly divisible by these factors.

Prime factorization of 140 and 180 are:

40: (2 × 2 × 5 × 7)

180: (2 × 2 × 3 × 3 × 5)

Then the  common prime factors which are common  that can be associated with 140 and 180 which is the GCF of 140 and 180 is ( 2 × 2 × 5 )= 20.

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You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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Answer:

Answers below

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Three less than a number (x) would be: x - 3

"The product of three less than a number and eight" would be 8(x-3).

The product of three less than a number and eight is nine would be:

8(x-3) = 9

\(8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\\frac{8x = 33}{8}\\\\x = \frac{33}{8}\)

Hope this helps.

Answer:

y = -1

Step-by-step explanation:

Step 1: Write equation

2(y + 2) - y = 3(y - 1) + 9

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

2(-1 + 2) - (-1) = 3(-1 - 1) + 9

2(1) + 1 = 3(-2) + 9

2 + 1 = -6 + 9

3 = 3

If a < b, then dividing both sides by a positive number will not flip the inequality sign. The inequality flips if you divide both sides by a negative number.

So if a < b, then a/3 < b/3 as well.

The mass of 6.56 pints of blood is 3.92 grams.

Given

The density of blood = 1.060 g/mL and mass of 6.56 pints

We have 1L = 2.113 pints

The density of a substance can be defined as the ratio of the mass of the substance to the volume of the substance. In chemistry, density is used to measure the concentration of the substance in the solution.

The expression for density = mass/volume

ρ = m/V

m = ρV

Mass = 1.060(1000ml/1L) × 6.56(1L/ 2.113)

= 3290.8 /1000

= 3.29g

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