Select the correct answer from each drop-down menu. José and Manuel are soccer players who both play center forward for their respective teams. The table shows the total number of goals they each scored in each of the past 10 seasons. Season José Manuel 1 7 17 2 12 23 3 17 21 4 4 31 5 18 30 6 25 5 7 38 26 8 32 37 9 37 19 10 11 9 The measure of center that best represents the data is mean , and its values for José and Manuel are and , respectively. Comparing this measure of center for José’s and Manuel's data sets shows that generally scores more goals in a game

Answer:

Step-by-step explanation:

Step-by-step explanation:

hope you have understood.

Answer:

The slope to the question provided is \( \frac{1}{3} \)

Answer:

m+7

Step-by-step explanation:

If she ran 7 minutes longer and m represents the amount of time she ran, then it would just be addition.

Let's say m=60 minutes. She would've ran for 67 minutes, which is also m+7.

As per the combination method, there are 3,024 different designs that can be created with four different pictures placed in nine different locations on a page.

There are seven options for the third picture and six options for the fourth picture.

To determine the total number of designs, we can use the multiplication principle, which states that the number of ways two or more independent events can occur together is equal to the product of the number of ways each event can occur individually.

Therefore, the total number of designs that can be created by placing four different pictures in nine different locations on a page can be found by multiplying the number of options for each picture:

9 x 8 x 7 x 6 = 3,024

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Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

Answer:

Perimeter=33

Step-by-step explanation:

2x+3=4x-3

0=2x-8

2x=8

x=4

Input 4 as Variable

2x+3=2(4)+3

=8+3

=11

P=3x11

P=33

Answer:

x=1.34,-5.24

Step-by-step explanation:

x=1.34,5.24

Based on the number line provided, it can be concluded the blue dot is equivalent to 0.

This is a horizontal line with values or numbers on it. Number lines are different from just any other line because the numbers on them follow a sequence and at placed at defined intervals. Most number lines include the number 0,1,2,3, but the sequence might be different.

Based on the values provided, it can be concluded the sequence is -10,-6,-8, etc. and this would make the blue dot to be 0.

Note: This question is incomplete, below I attach the missing information.

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Answer:

11 days

Step-by-step explanation:

because Nicholas was given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Answer:

11 days

Step-by-step explanation:

Answer:

x(6+7x)

Step-by-step explanation:

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

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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Answer:

\(4(5) {m}^{3} \times {m}^{2} \times {n}^{2} \times {n}^{1} \)

since you know the rules of exponents we are multiplying powers of the same bases meaning we will add the exponents.

\( = 20 {m}^{3 + 2} {n}^{2 + 1} \\ = 20 {m}^{5} {n}^{3} \)

The area of the regular nonagon is 1,582.5 ft².

The area of the nonagon is calculated by applying the following formula as shown below;

A = (9/4) a² (cos 20/sin 20)

where;

The given length of the nonagon = 16 ft.

The area of the nonagon is calculated as follows;

A = (9/4) a² (cos 20/sin 20)

A = (9/4) (16)² (cos 20/sin 20)

A = 1,582.5 ft²

Thus, the area of the regular nonagon is calculated by applying the formula given.

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Answer:

1. 1/2, rise/run and since you rise one and run 2 it'll be 1/2

2. 7/0 = undefined automatically, there is no value(undefined) if there is no run

3. rise:   28 - 18         10             5

           _______ = _____ =  _____ = 5

run:         4 - 2             2             1  

4. 1, it rises 1 and runs 1

The solution (2, 2) means that 2 adults and 2 children boarded the raft and the weight of the raft didn't exceed its maximum weight.

The solution (5, 0) means that 5 adults boarded the raft and the weight of the raft exceeded its maximum weight.

Based on the information provided above, a system of linear inequalities that represent both the minimum (least) and maximum (most) weight Chase can carry in terms of rafters is given by;

Minimum: 75x + 50y ≥ 150

Maximum: 200x + 100y ≤ 800

where:

For the first trip wherein, Chase guides 2 adults and 2 children;

75x + 50y ≥ 150

75(2) + 50(2) ≥ 150

150 + 100 ≥ 150

250 ≥ 150 (True).

200x + 100y ≤ 800

200(2) + 100(2) ≤ 800

400 + 200 ≤ 800

600 ≤ 800 (True).

For the second trip wherein, Chase guides 5 adults;

75x + 50y ≥ 150

75(5) + 50(0) ≥ 150

375 + 0 ≥ 150

375 ≥ 150 (True).

200x + 100y ≤ 800

200(5) + 100(0) ≤ 800

1,000 + 0 ≤ 800

1,000 ≤ 800 (False).

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Complete Question:

Chase estimates the weight of each adult as approximate 200 pounds and the weight of each child under age sixteen as approximate 100 pounds. Chase charges adults $75 and children under age sixteen $50 to ride down the river with him. His goal is to earn at least $150 each rafting trip.

To write an inequality to represent the most weight Chase can carry in terms of rafters. Define your variables.

Step-by-step explanation:

See the attached image.  I numbered angles differently so as not to make an assumption that angles numbered the same are congruent.

\(\overline{AB} \parallel \overline{CD}\\\angle1 \cong \angle3\) (alternate interior angles are congruent)

\(\overline{AD} \parallel \overline{BC}\\\angle 2 \cong \angle 4\) (alternate interior angles are congruent)

\(\overline{AB} \cong \overline{CD}\)  (opposite sides of a parallelogram are congruent)

\(\triangle{ABO \cong \triangle{CDO}\)  (ASA - side/angle/side)

\(\overline{AO} \cong \overline{CO}\\\overline{BO} \cong \overline{DO}\)  (corresponding parts of congruent triangles are congruent)

The diagonals bisect each other!

Answer:

You have a 25% chance on landing on any of the colors  

Step-by-step explanation:

You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer

Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors  

The sample space is the set that contains all possible outcomes for an experiment.

here, we have,

In this problem,

You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow

there are four colors in the spinner

if you divide the number of colors (4) and divide it by 100

you will get 25 and that is your answer

Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.

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Answer:

10 and 8

Step-by-step explanation:

Answer:

10 and 8

Step-by-step explanation:

We know that 10 and 8 add up to 18.

Now lets check the difference.

10-8=2.

Using its concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

p=19/25

Probability is a field of mathematics that deals with the numerical description of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the impossibility of the event and 1 indicating certainty.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

p=38/50 = 19/25

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Answer:

8)

9)

10)

11)

Answer:

English translation please.....

Answer:

B. 90; 100 is a reasonable estimate

Step-by-step explanation:

15 + 14 = 29 (combined number of stamps Julissa and Ethan have)

Pawel has three times 29 stamps

29 ×3 = 87 (number of stamps Pawel has)

90 is the closest estimate to the amount of stamps Pawel has.

Therfore, 90 is the correct estimate and 100 is a reasonable estimate.

The simplified expressions are, 6. \(16^{\frac{1}{2} }\) = 4, 7. \(125^{\frac{1}{3} }\) = 5, 8. \(36^{\frac{1}{2} }\) = 6, 9. \(27^{\frac{1}{3} }\) = 3,10. \(49^{\frac{1}{2} }\) = 7.

Algebra is a branch of mathematics that deals with mathematical operations and structures using symbols and letters to represent numbers and quantities. It involves manipulating mathematical expressions and solving equations to find unknown values.

In algebra, the basic operations include addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions can also include variables, which represent unknown quantities, and coefficients, which are the constant values that appear in front of variables.

The study of algebra begins with the basic concepts of arithmetic, such as addition, subtraction, multiplication, and division, and then progresses to more advanced topics, such as equations, inequalities, functions, matrices, and abstract algebra. Algebraic concepts are widely used in other areas of mathematics, including geometry, trigonometry, calculus, and number theory

\(16^{\frac{1}{2} }\) = 4

\(125^{\frac{1}{3} }\) = 5

\(36^{\frac{1}{2} }\) = 6

\(27^{\frac{1}{3} }\) = 3

\(49^{\frac{1}{2} }\) = 7

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Answer:

12

Step-by-step explanation:

To find unit rate, you divide 72 by 6.

72/6=12.

So, there are 12 muffins per tray.

-hope it helps

Step-by-step explanation:

An easy way is to first make a rectangle.

put 5x^2 in the bottom left

put -4 in the top right.

also, make a diamond. for the sum it will be -19x, for the product it will be -4*5x^2 which equals -20x^2

solve the diamond then put those answers in the missing squares.

hope this helps :)

Answer:

28mph

Step-by-step explanation: