Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

How much did the bicycle cost?

Answer:

9 workers

Step-by-step explanation:

15 workers = 48 hrs build

x workers = 30 hrs build

cross multiply

15 × 30 = x × 48

450 = 48x

x =

[tex] \frac{450}{48} [/tex]

x = 9.37

so it will take approximately 9 workers to build a wall for 30hrs

i hope this helped

Answer:

28512cm cubed

Step-by-step explanation:

22/7×4.5 squared ×4squared×28

Answer:

47.5%

Step-by-step explanation:

Given that μ = 144, σ = 27:

For x = 144: z= 144-144/27=0

For x = 198: = 198-144/27 = 2

Therefore, From the normal distribution table: gives  0.5000 and 2 gives .97725

So the required percentage = 0.97725- 0.5000 = 0.47725= 47.5%

Hence, 47.5% of the population would be between 144 and 198

38/53 is as simplest form.

As 53 is a prime no. and they do not have a common factor 38/53 can not be simplified further.

A fraction is written in the form of p/q, where .

Fractions are of two types. They are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, a fraction 38/53.

Now 38 = 2×19 but 53 is a prime number 53 = 1×53 so they do no have any common factor to simplify.

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Answer:

Step-by-step explanation:

y = 6x - 12

6x - 12 = y

6x = y + 12

x = (y + 12)/6

Answer: Dimension of pool are length = 12 feet, width = 54 feet and depth = 6 feet.

The speed when the train travels 440 kilometers in 4 hours is 110 km per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

In this case, the train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours.

The speed will be:

= Distance / Time

= 440 / 4

= 110 km per hour.

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Complete question

A train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours. Calculate the speed.

The unit rate of the first employee is $29 an hour and the second is $22 an hour.

What is the rate?

Rates are a special type of ratio that incorporates the dimension of time into the denominator. Familiar examples include measurements of speed (miles per hour) or water flow (gallons per minute). Example #1: If a car travels 24 miles in 2 hours, its average speed is a rate of 24 miles/ 2 hours = 12 miles/hr.

We have,

given the two graphs, which show the earnings on the x-axis and time(hr) on the y-axis of both employees working at the same company.

Both earn money at constant rates.

and the points on the graphs are

points on the graph of employee 1 earnings:-

(2, 58) and (3, 87)

the rate of earnings

58/2 = 29

87/3 = 29

points on the graph of employee 2 earnings:-

(1, 22)

the rate of earnings

22/1 = 22

Hence, the unit rate of the first employee is $29 an hour and the second is $22 an hour.

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Answer:

1

Step-by-step explanation:

→ Complete the square

( x - 2)² - 4 + ( y - 1 )² - 1 = 16

→ Simplify

( x - 2 )² + ( y - 1 )² = 21

→ Find centre

( 2 , 1 )

Answer:

3 down from p and 6 left

I hope this helps, sorry if it wrong. it should be right

Therefore the required probability as a total number of the expected draw of blue tiles will be 16.

Probability = the number of possible paths to success / The total number of outcomes. That is a chance of getting an event

The formula for calculating an event's probability is the ratio of favorable outcomes to the total number of outcomes. Probabilities are always between 0 and 1. Probability = Number of Favorable Outcomes / Total Number of Outcomes is the general probability formula.

Given:

Number of red tiles = 14

Number of blue tiles = 20

Number of green tiles = 16

total number of tiles = 14+20+16=50

P(blue) = number of blue tiles / total number of tiles

            = 20/50

             =2/5

40 times the procedure is repeated

so, answer=(2/5)*40 = 16

Therefore the required probability as a total number of the expected draw of blue tiles will be 16.

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The verb that corresponds to laugh based on the option is D. mock.

A verb is a word that denotes an action that is physical. Verbs are words that describe an action, an occurrence, or a state of being (exist). There must be a verb in almost every sentence. The infinitive is a verb's fundamental form.

It should be noted that mock simply means to laugh at or make fun of (someone or something) especially by copying an action or a way of behaving or speaking.

Therefore, based on the information, the correct option is D.

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Complete question

The verb corresponding to laugh

attend

drink

prophesy

mock

theorize

Answer:

x=2 y=1

Step-by-step explanation:

Answer:

y=2x-3

Step-by-step explanation:

[tex]30=2.5x \\ \\ 60=5x \\ \\ x=\boxed{12}[/tex]

Answer:

None? Are you sure you copied the question right?

Step-by-step explanation:

x^2 - 3x - 4 = | x+3 | -2

Substitute

(-4)^2 - 3(-4) - 4 = | (-4)+3 | -2

16 + 12 -4 = 1-2

Not equal

(−3)^2 - 3(−3) - 4 = | (−3)+3 | -2

9+9-4 = -2

Not equal

(−1)^2 - 3(−1) - 4 = | (−1)+3 | -2

1 -3 -4 = 2-2

Not equal

4^2 - 3(4) - 4 = | 4+3 | -2

16 - 12-4 = 7-2

Answer:

x=1

Step-by-step explanation:

because x has to be same in all number

Answer:

[tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{4}+\frac{2}{3} +\frac{2}{6}[/tex]

[tex]\frac{6}{12}+\frac{8}{12} +\frac{4}{12}[/tex]

[tex]\frac{6 + 8 + 4}{12}[/tex]

[tex]\frac{18}{12}[/tex]

[tex]1\frac{1}{2}[/tex]

Answer:

[tex]\begin{gathered} \sf \frac{2}{4} + \frac{2}{3} + \frac{2}{6} = \\ \\ \sf\frac{12 \div 4 \times 2 + 12 \div 3 \times 2 + 12 \div 6 \times 2}{12} = \sf \\ \\ \sf\frac{6 + 8 + 4}{12} = \\ \\ \sf\frac{18}{12} = \frac{ 6}{4} = \\ \ \\ \sf\frac{3}{2} = \boxed { \sf1 \frac{1}{2}} \end{gathered}[/tex]

How to add heterogeneous fractions:

Heterogeneous fractions are fractions that have different denominators.

To add heterogeneous fractions, follow these steps:

Question is incomplete. Answering in a general way;

The side CA has a length of  [tex]\sqrt{c^{2}-b^{2} }[/tex] and Angle C is of 28 degrees.

Given,

Right angled triangle ABC

Length of side AB = b

Length of side BC = c

Angle B = 62°

Angle A = 90°

We have to find the length of side CA and Angle C;

Here,

According to Pythagorean theorem,

Hypotenuse = [tex]\sqrt{base^{2}+altitude^{2} }[/tex]

Here,

Altitude = [tex]\sqrt{Hypotenuse^{2} -Base^{2} }[/tex]

CA = [tex]\sqrt{c^{2} -b^{2} }[/tex]

Now,

Sum of interior angles of a triangle is 180°

Then,

∠A + ∠B + ∠C = 180°

So,

90° + 62° + ∠C = 180°

∠C = 180° - 152°

∠C = 28°

That is,

The length of side CA is [tex]\sqrt{c^{2}-b^{2} }[/tex] and Angle C is 28°

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Since the random sample of 200 patients are classified irrespective of their health conditions , as to whether or not they took an omega-3 fish oil tablet daily

The most basic random sample gives each unit in the population an equal probability of being chosen.

calculation

The study in question is an observational one. No treatments were used in the study because there were none.

b) Since the 200 patients who made up the random sample were divided into groups without regard to their physical health.

When patients are divided into groups at random, it may be discovered that one group's patients are in better health than the other. The results then might become skewed. Therefore, our study's conclusion might be false.

c) The outcomes of this study cannot be generalized.

We cannot determine the actual cause of the elevated cholesterol level because the study is observational. The conclusions of an observational study cannot therefore be generalized.

d) No, we are unable to evaluate cause and effect in an observational study. There's a possibility that another factor could be working without the dependent.

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The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.

In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'

We need to state whether it is true or false.

We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.

Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.

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The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Larsen wants to get some markers for her class.

She notices that they come in boxes of 8.

Now,

Let total number of markers = y

And, Number of boxes = x

Here, She notices that they come in boxes of 8.

So, We can formulate;

⇒ y = 8x

Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

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Explanation is there for your question

The equation of the first graph is

y > 2x - 4

The equation of the first graph is

y ≥ -x + 4

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculating using the points on the graph (0, -4) and  (2, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-4 - 0) / (0 - 2)

m = (-4) / (-2)

m = 2

c = y intercept, from the graph

c = -4

The equation of the line is y = 2x - 4

shading above the line is greater than and dotted lines means it does not have equal to

hence y > 2x - 4

for the second graph

the slope, m calculating using the points on the graph (0, 4) and  (4, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (4 - 0) / (0 - 4)

m = (4) / (-4)

m = -1

c = y intercept, from the graph

c = 4

The equation of the line is y = -x + 4

shading above the line is greater than and solid lines means there is equal to in the inequality

hence y ≥ -x + 4

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1)  An expression for the amount of fabric needed to make 13 pairs of wings is; 3/4 * $8 = $6 each

2) An expression of the total cost is; 3/4 * $8 * 13 = $78

3) The way we will use  associative and commutative properties is to start by treating 1 yard of fabric like the fraction 4/4.

4) Simplifying equals $78

We are told that each pair of wings is made with 3/4 yard of fabric. Since the fabric costs $8 per yard. Thus;

1) 3/4 * $8 will give us the cost of the amount required for 3/4 yard of fabric.  3/4 * $8 = $6 each

2) Now, we are told that Mr. Townsend needs to make 13 pairs of butterfly wings and as such;

Amount needed to make 13 pairs is expressed as; 3/4 * $8 * 13 = $78

3) Treat 1 yard of fabric like the fraction 4/4.

Now, if this 1 fabric is equal to $8, then it means that 3/4 of the fabric will be $6. That is for one pair of butterfly wings, there's 13 of those so multiply $6 by 13.

This pattern is easier  because we know how much 1 fabric costs, but we don't know what 3/4 of it does, so we treat 1 yard of fabric as the fraction 4/4.

4) Simplifying the expression gives; $78

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Answer: 28 and 7

7 x 4 = 28

28 + 7= 35

Answer: C. x ≥ 3

Step-by-step explanation:

5x−10≥−3x+14

Step 1: Add 3x to both sides.

5x−10+3x≥−3x+14+3x

8x−10≥14

Step 2: Add 10 to both sides.

8x−10+10≥14+10

8x≥24

Step 3: Divide both sides by 8.

8x/8 ≥ 24/8

x ≥ 3

Hope this helps!!

a) Green is 0.3, Yellow is 0.1

b) There are 12 green pins in the bag

Given,

In the question:

There are some colored pins in a bag. The pins can be green, yellow, purple, or grey. A pin is going to be taken at random from the bag.

The table shows the probabilities of picking a purple or grey pin.

The table is not given in the question :

So, The table is :

Colors:          Green         Yellow      Purple        Grey

Probability:                                         0.35           0.25

To find the :

a)Complete the table.

There are 14 purple pins in the bag.

b)Work out how many green pins are in the bag.

Now, According to the question:

The probability is the ratio between the possible outcomes over the total outcomes:

The value of the probability of possible outcomes is greater than 0 and smaller than 1 (0 < P < 1)

The sum of the probabilities of all outcomes must equal 1.

A bag contains some green, yellow, purple and grey pins

∵ The probability of picking a purple pin P(purple) = 0.35

The probability of picking a grey pin P(grey) = 0.25

→ The total of all possible outcomes is 1

The sum of the probability of green and yellow pins = 1 - 0.35 - 0.25

The sum of the probability of green and yellow pins = 0.4

P(green) + P(yellow) = 0.4 ⇒ (1)

∵ The probability of picking a green pin is 3 times the probability

of picking a yellow pin

P(green) = 3 P(yellow) ⇒ (2)

→ Substitute (2) in (1)

3 P(yellow) + P(yellow) = 0.4

4 P(yellow) = 0.4

→ Divide both sides by 4

P(yellow) = 0.1

The probability of picking a yellow pin is 0.1

→ Substitute P(yellow) in (20 by 0.1

P(green) = 3(0.1)

P(green) = 0.3

The probability of picking a green pin is 0.3

Green = 0.3, Yellow = 0.1

There are 14 purple pins in the bag

P(purple) = 0.35

0.35 of purple pins = 14

→ To find the total number of pins in the bag divide 14 by 0.35

The total number of pins = 14 ÷ 0.35

The total number of pins = 40 pins

P(green) = 0.3

The number of green pins = 0.3 × 40

The number of green pins = 12 pins

Hence, There are 12 green pins in the bag.

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The solution is the two percent changes are not the same, and the second percent change is greater

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage

Given data ,

Let the initial value of the pens = $ 4.09

Let the final value of the pens = $ 3.59

So , the percentage change is calculated by

Percentage decrease = ( ( final value - initial value ) / initial value ) x 100

Substituting the values in the equation , we get

Percentage decrease = ( ( 3.59 - 4.09 ) / 4.09 ) x 100

Percentage decrease = ( -0.5 / 4.09 ) x 100

Percentage decrease = -0.122249 %

Therefore , the approximate percentage decrease = -0.1 %

Now ,

The value of the pens is increased to = $ 4.09

So , the percentage change is calculated by

Percentage increase = ( ( final value - initial value ) / initial value ) x 100

Substituting the values in the equation , we get

Percentage increase = ( ( 4.09 - 3.59 ) / 3.59 ) x 100

Percentage increase = ( 0.5 / 3.59 ) x 100

Percentage increase = 0.13927 %

Therefore , the approximate percentage increase = 0.1 %

Hence , the two percent changes are not the same, and the second percent change is greater

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The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The population has increased by 51.56% from last year to this year.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of population last year = 2,639,000,000

Number of population this year = 3,999,635,444

The best estimate of the total population of last year and this year.

= [ (3,999,635,444 - 2,639,000,000) / 2,639,000,000 ] x 100

= ( 1360635444 / 2,639,000,000 ) x 100

= 51.56 %

Thus,

The population has increased by 51.56% from last year to this year.

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