Simplify the following ratios:

a) 4.2 : 5.6

b) 1.4 : 4.9

c) 1.8 : 3.0

d) 2.8 4.2


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The length of the car in Ivans drawing is given as 8 cm

We are to solve for the length of this car by using the figure we have in the scale drawing. The length of car in Megan's drawing is 6 cm. The scale is 3 : 2

Ivan's drawing is in the relation of 2 : 1 cm

We would have to find the actual length of this car but by the use of Megan's ratio

This is given as

6 * 2 / 3

12 / 3

= 4 cm

Next we have to find Ivans length.

4 * (2/1)

= 8 / 1

= 8 cm

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Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Answer:

1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)

Step-by-step explanation:

1.

Since g = 8, p1 = 400000 * 8 = $3,200,000

and p2 = 1250000 + 150000 * 8 = $2,450,000

2.

400,000g = 1,250,000 + 150,000g

250,000g = 1,250,000

g = 1,250,000 / 250,000 = 5.

at g=5, you can use either graph to find the y value.

400,000 * 5  = $2,000,000

(5, 2000000)

Answer:

y = −x2 + 2x −5

Step-by-step explanation:

To find the truth set of the equation 4x + 2 = 3(2x), we need to solve for x and then determine the values of x that make the equation true.

Starting with the equation:

4x + 2 = 3(2x)

Distribute the 3 on the right-hand side:

4x + 2 = 6x

Subtract 4x from both sides:

2 = 2x

Divide both sides by 2:

1 = x

Therefore, the truth set of the equation 4x + 2 = 3(2x) is {1}. In other words, the equation is only true when x is equal to 1.

Answer:

19

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Use order of operations.

42/(15-2^3)

Exponents in Parentesis

42/(15-8)

Subtraction inParenthesis

42/7

Division

6

Answer:

25000

Step-by-step explanation:

Answer:

Step-by-step explanation:

<ABC = x + 45 = 180

             x = 135

<ABE = 45

vertical to <CBD is 45

<EBD= 135 due to <ABD is vertical

Step-by-step explanation:

36 ÷ (4 x 3)

36 ÷ 12

= 3

54 - 48 - (16 ÷ 4)

54 - 48 - 4

= 2

So first one is greater

Using proportions, we have that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale is of 1 inch = 8 feet. What is the height for 2.5 inches? The rule of three is given by:

1 inch - 8 feet.

2.5 inches - x feet

Applying cross multiplication, the height in feet of the final building is given by:

x = 8 x 2.5 = 20 feet.

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The height of the building is calculated by representing 1 inch as 8 feet. The final building has a height of 20 feet.

Scaling is the increase or decrease in the height of an object by a scale factor k.

Given that the scale used is:

1 inch = 8 feet. Hence:

Since the height of the building is 2.5 in, hence:

Height of the final building = 2.5 in * 8 ft per 1 in = 20 feet

The height of the final building is 20 feet.

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Answer:

$3.90

Step-by-step explanation:

78 cents/lb * 5 lb = (78*5) cents = 390 cents (the pound labels divide out)

But 390 cents = $3.90

Answer:

(x,y)= (- 2, - 1)

Step-by-step explanation:

The equation of the relationship is f(200) = 0.75 * 200

From the question, we have the following parameters that can be used in our computation:

Total number of drinks = 200

Cost of each drink = 0.75

Using the above as a guide, we have the following:

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

Substitute the known values in the above equation, so, we have the following representation

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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The total surface area of the figure is 144

From the question, we have the following parameters that can be used in our computation:

The net of the figure

The total surface area of the figure is the sum of the individual shapes

So, we have

Surface area = 9 * 9 + 7 * 9

Evaluate

Surface area = 144

Hence, the total surface area of the figure is 144

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The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

The problem with this question is that it is missing an important number, which is the length of the tube. Assuming that the tube is 10 meters long (=1,000 centimeters long)

time (in        distance traveled         distance traveled       distance

seconds)     by particle A in cms     by particle B in cms    between both

                                                                                              particles in cms

1                               97                            49                     854

2                               93                            47                     714

3                               89                            45                     580

4                               85                            43                     452

5                               81                            41                     330

6                               77                            39                     214

7                               73                            37                     104

8                               69                            35                     0

After 8 seconds both particles should meet. Particle A traveled 664 centimeters and particle B traveled 336 centimeters.    

Answer:

The number of people that could be at the parade is 30,413 people.

Explanation:

Given that;

The homecoming parade will run 3 miles long;

And 8 feet deep on both sides of the street;

The area of the homecoming parade is;

The number of people that could be at the parade is;

Population density is given as 6 people per 25ft^2

The number of people that could be at the parade will be;

Therefore, The number of people that could be at the parade is 30,413 people.

Answer:

Hope this helps :)

Step-by-step explanation:

\(\frac{1}{2}\) ÷ \(\frac{2}{3}\)

When dividing by a fraction, we just have to multiply by the reciprocal, making the equation:

\(\frac{1}{2}\) × \(\frac{3}{2}\)

Then we multiply and end up with:

\(\frac{1}{2}\) × \(\frac{3}{2}\) \(=\frac{3}{4}\)

Answer:

x>4

Step-by-step explanation:

what you would do first is move the 7 to the other side of the sign and do 11-7 which equals 4. Next since x has no number with it and it is positive you would do 4 divided by 1 which means x is greater than 4. Thus your answer is x>4

9514 1404 393

Answer:

  x > 4

Step-by-step explanation:

Step 1. Locate the variable.

  It is on the left side only.

Step 2. Identify any other terms on the same side of the equation as the variable.

 +7 is a term there

Step 3. Add the opposite of that term to both sides of the inequality. (This is the "work." The previous two steps are observation: looking to see what you are working with. You should always start by doing that.)

  x +7 -7 > 11 -7

  x > 4 . . . . . . . . . . simplify (collect terms)

The solution is x > 4.

_____

Additional comment

This is a "one-step" inequality, because all we had to do was add -7. If there is a coefficient on the variable, it is a 2-step inequality. If there are variables on both sides of the comparison symbol, then more steps may be required.

Answer:

Second choice GD and GF with the LINE symbol over each

Step-by-step explanation:

Angle named DGF means that G ( in the middle) is the vertex so GD would be a line starting at G going out toward D and G F would be a line starting at G going out to F

The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

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Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

what you mean but heres the points on the map u were talking about

Answer: The slope m = 3/5

Step-by-step explanation:

The slope can be found by using the formula: m = y2 - y1 / x2-x1

Where m is the slope and (x1, y1) and (x2, y2) are the two points on the line.

x1 = 2  , y1 = 1

x2 = -3 , y2 = -2

Substituting the values from the points in the problem gives :

m = -2-1 / -3-2

m = 3/5

Hence, the slope that passes through (2, 1) and (-3, -2) is 3/5.

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Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The order of the values from the least to the greatest is 160%, 1.8, 2.1, 220%, 16/5 .

To order the values, it is best to convert all the values that are not decimals to their decimal equivalents so as to make comparison easier:

160 % in decimal :

= 160 / 100

= 1. 6

220 % in decimal :
= 220 / 100

= 2. 2

16 / 5 in decimal :

= 16 / 5

= 3. 2

The order from lowest to greatest would then be:

160%, 1.8, 2.1, 220%, 16/5 .

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The full question is:

How many values compare?

Order the values from least to greatest:

9/4 , 160%, 1.8, 16/5 , 220%, and 2.1

Answers:

There's not much to explain other than what is provided by your teacher. It just comes down to pretty much memorizing the terms. The more you get familiar with hockey (ie the more games you watch), then you'll have a better grasp of the sport.

The coordinates to which the portable irrigation system should be sent to water the area are:

(495.75, 672).

The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.

Hence the coordinates are given as follows:

Hence the x-coordinate of the point to which the system should be sent is:

x = (56 + 144 + 888 + 895)/4 = 495.75.

(the mean is given by the sum of the observations divided by the number of observations).

The y-coordinate of the point to which the system should be sent is:

y = (289 + 332 + 1012 + 1055)/4 = 672.

The area is given by the image at the end of the answer.

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Answer:

-2

Step-by-step explanation:

16=-4x+4+4

16=-4x+8

4x=8-16

4x=-8

x=-2

Tthe required value of x is -2 for which the given expression is true.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
16 = -4(x - 1) + 4
16 - 4 = -4(x - 1)
x - 1 = 12 / -4
x = -3 + 1
x = -2

Thus, the required value of x is -2 for which the given expression is true.

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