Darien could swim 30 laps an
hour last year. This year he can
swim 36 laps an hour. Determine the
percent change

The actual kitchen measures 18m in width.

• In mathematics, the unitary method is used to find the necessary value by first determining the value of a single unit and then multiplying the number by the single unit value.

• For example, if a car travels 60 kilometers on three litres of gasoline, we can calculate the number of kilometers traveled on one litre of gasoline using the unitary method.

We are given that Luther drew a scale drawing of an Italian restaurant. He used a scale on which 1 millimetre equals 6 meters. We need to find the width of the kitchen if in the drawing it is 3 mm wide.

So,

1mm = 6m

3 mm =?

3 mm = 6*3

3 mm = 18 m

The actual width of the kitchen is 18 m.

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Answer:750 milliliters

Step-by-step explanation:

2.5 liters=2500 milli

5*350=1750 milli

2000-1750=750 milli

Answer: g(-6)=15

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation

the two interior angles add up to the exterior.

The desired inequalities are given as follows:

A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

For graph A, as nothing is plotted on the line, we have a inequality with no solution.

The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:

A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

For graph B, as the entire line is plotted, we have a inequality with all real values as solution.

From the same logic above, of the successor, the correct option is:

D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

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10/586=582824448

55359=5244+88556-89595

=8388256

Answer: the answer would be all real numbers

Step-by-step explanation:

I got it right on the test

The required equation for sharing the bills equally is 5x = 62.65 and each will pay $12.53

How many friends went to the restaurant altogether?

The fact that the person went with  4 friends and paid for every means that he made payments for the 5 of them and he is expected to get refund from 4 persons, in other words, in order to share bills equally, the 5 friends would have to contribute equally, which means we would divided total bills by the number of friends, which is 5 not 4 because the first person would also his part of the bills

Let x be the amount paid person, the total amount paid would be x paid person multiplied by the number of friends, 5

total amount paid=5*x

total amount paid =5x

the amount paid in dollars is $62.65

5x=62.65

x=62.65/5

x=$12.53

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The lake's current water is dropped ( 55 / 3 ) feet below the normal water level.

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.

Let x be the normal water level of the lake.

At the beginning of the fall, the level of water of the lake is [tex]11\frac{1}{3}[/tex] feet below the water level.

So, the change in water level [tex]-11\frac{1}{3}[/tex].

Then, the water level of the lake dropped [tex]7\frac{2}{3}[/tex] feet after the drought.

Again, the change in water level will be [tex]-7\frac{2}{3}[/tex].

Hence, the total change in water level will be:

[tex]=-11\frac{1}{3}-7\frac{2}{3}[/tex]

= ( - 33 + 1 ) / 3 - ( 21 + 2 ) / 3

= ( - 32 / 3 ) - ( 23 / 3 )

= ( - 55 / 3 )

Therefore, the lake's water level dropped ( 55 / 3 ) feet below the normal water level.

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The equivalent choice of √7x √x+2 is x√7 + 2√7x

The product expression is given as:

√7x √x+2

Rewrite as:

√7x * (√x + 2)

Expand the bracket

√7x^2 + 2√7x

Take the square root of x^2

So, we have

x√7 + 2√7x

Hence, the equivalent choice of √7x √x+2 is x√7 + 2√7x

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Expression: 4*(-12)= -48

-7-6= -13

Equivalent: -12*4= -48

8-(-6)= 14

-3-16= -19

The time taken by the cyclist to ride from the garden city to dodge city, Kansas is 3.5 miles/hour.

Given that, a cyclist rides at a constant speed of 15 miles per hour.

We need to find at this speed how long would it take the cyclist to ride from the garden city to dodge city, Kansas.

Calculate speed, distance or time using the formula d = st, distance equals speed times time.

Now, the distance between garden city to dodge city, Kansas 52.3 miles via US-50 E.

So, time taken=52.3/15

=3.48≈3.5 miles/hour

Therefore, the time taken by the cyclist to ride from garden city to dodge city, Kansas is 3.5 miles/hour.

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Answer:

C m > 5 or m < -19

Step-by-step explanation:

i took the test

The cube root of 35 would be plotted on a number line A. Between 3 and 4, but closer to 3.

It should be noted that cube root of a number simply means a number that you can multiply three times that will give the original number.

In this case, the cube root of 35 will be 3.2.

This means that it's closer to 3. It's also between 3 andmd 4.

Therefore, the cube root of 35 would be plotted on a number line between 3 and 4, but closer to 3.

In conclusion, the correct option is A.

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Answer:

C. 10

Step-by-step explanation:

It is very easy to find the square root of a number that is a perfect square. For example, 100 is a perfect square, 100 = 10 × 10. So, 10 is the square root of 100 and this can be expressed as √100 = 10. The square root of any number, in general, can be found by using any of the four methods given below:

Answer:  x = 12

Step-by-step explanation:

1) Convert mixed numbers into improper fractions: [tex]21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}[/tex]

New equation written as: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}[/tex]

2) [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}[/tex]

3) Add the numbers 65 + 7 = 72: [tex]\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}[/tex]

4) Divide 72/3 = 24: [tex]\frac{5}{3}x+\frac{1}{3}x=24[/tex]

5) Multiply both sides by 3. Note: * = multiply: [tex]\frac{5}{3}x*3+\frac{1}{3}x*3=24*3[/tex]

6) Simplify: 6x = 72

7) Divide both sides by 6: [tex]\frac{6x}{6}=\frac{72}{6}[/tex]

x = 12

The equation which has no solution among the answer choices as given in the task content is; b + 2 = b-2.

It follows from the task content that the equation which has no solution is to identified.

On this note, the equation in which case, the variable diminishes and the equality does not hold represents that which has no solution.

Hence, the required equation is; b + 2 = b-2.

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There is a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D',  then the correct option is C.

"Shifted 3 units right and 4 units up"

Let's just compare one of the vertices to identify the translation applied.

We can see that the coordinates of vertice A are (2, 3).

While the coordinates of the vertice A' are (5, 7)

If we take the difference between these two coordinate pairs, we will et

A' - A = (5, 7) - (2, 3)

Remember that this difference is computed component to component, so we have:

(5, 7) - (2, 3) = (5 - 2, 7 - 3) = (3, 4)

From this we can conclude that we hade a translation of 3 units to the right and 4 units upwards to translate ABCD into A'B'C'D',  then the correct option is C.

"Shifted 3 units right and 4 units up"

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The number of miles that they traveled when San Diego fell asleep will be 176 miles.

It should be noted that from the information, San Diego's family took a road trip to Mount Rushmore and San Diego fell asleep 44% of the way through the trip.

In this case, the total length of the trip was 400 miles.

Therefore, the number of miles that they traveled when he fell asleep will be:

= Percentage × Total miles

= 44% × 400

= 0.44 × 400

= 176 mile

Therefore, the number of miles that they traveled when San Diego fell asleep will be 176 miles.

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The interval that represents the inequality 1 < x ≤ 6 is given by:

B. (1,6].

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

The inequality notation is:

a ≤ x ≤ b

The set builder notation is:

{x | a ≤ x ≤ b}.

In this problem, we are given the inequality 1 ≤ x ≤ 6, hence a = 1 and b = 6, and open at x = 1 and closed at x = 6, hence the interval is:

B. (1,6].

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Answer: 98.9°

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180 degrees.

=180-81.1

=98.9°

Answer:

See answers below

Step-by-step explanation:

This type o problem is known as a Diamond problem

From the diamonds on the top row, it is clear that the top cell of the diamond is the product of the two side numbers and the bottom is the sum of these numbers.

I will use top for the top cell and bottom for the bottom cell, left for and right respectively for left and right cells

a. Top = 2 x 5 = 10; Bottom = 2 + 5 = 7

b. Top = -2 x -1 = 2; Bottom = -2 - 1 =  -3

c. Top = Left x Right = 8
  Bottom = Left + Right = 6.  The only two numbers that satisfy this equation are Left = 4 and Right = 2 since 4 x 2 = 8 and
4 +2 = 6
Answer to c: Left = 4, Right = 2

d We have Let unknown left be L and unknown bottom be B
We have L x  (1/2) = 4 for the product
[tex]\rm{\frac{L}{2} = 4}\\\\L = 2 x 4 = 8[/tex]

We have Bottom = Left + Right = 8 + 1/2  = [tex]8\frac{1}{2}[/tex] = 17/2
Answer to d. : Left = 8, Bottom = 17/2

e. Similar to c.

Top = Left x Right = 12;
Bottom = Left + Right = -7
12 can be 2 x 6 or 3 x 4 (same as 4 x 3) or 12 x 1. 4 and 3 are the obvious choices and since they add up to - 7 they both have to be negative
So Left = -3, Right = -4

Note: (-3) x (-4) results in +12

Answer:

1. STEPS FOR SOLVING LINEAR EQUATION

[tex] \frac{4m}{3} = 8[/tex]

Multiply both sides by 3.

4m=8×3

Multiply 8 and 3 to get 24.

4m=24

Divide both sides by 4.

[tex]m = \frac{24}{4} [/tex]

Divide 24 by 4 to get 6.

m=6

2. 2p+3=7; p=2 pounds

The value of X is 3.4

Disclaimer:

We will consider arithmetic mean in this case as which mean is not mentioned.

The total number of terms are 5

thus, arithmetic mean= 6

            6= (2+8+9+7.6+x)/5

      30 = 26.6+x

x=30-26.6=3.4

Thus the value of X is 3.4

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Main Answer:x= 3.4

Concept and definitions should be there

The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.

To calculate it:

• add up all the numbers,

• then divide by how many numbers there are.

Given data

the value of x 2,8,9,7.6,x the mean is 6

Solving part

As we know that

mean =(sum of the terms)/(Number of terms)

By substituting the values, we get

6=(2+8+9+7.6+x)/5

30= x+26.6

x= 30-26.6

x= 3.4

Final Answer: Thusx= 3.4 is the correct answer.

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Answer:

an identity............

Answer:

An identity

Step-by-step explanation:

An identity is an equation, which is true for all values of the variables in the equation.

Answer:

(-5,5) and (0,-0.1) , solutions to the equation

(5,5) and (10,5) ...not solution to the inequality

Step-by-step explanation:

5,5) and (0,-0.1) ,,,they are solutions to the inequality since they lie in the required region (unshaded region)

(5,5) and (10,5) ,,,they lie in the shaded region which is the required region hence not among the required points.

False

• Systematic Sampling is a probability sampling method where people or researchers select members of the population in a regular interval.

• For example, by selecting  every 17th person on the list of the population. If the population is in the random order, this can imitate the benefits of random sampling.

• Systematic sampling can help in minimizing biased samples and poor survey results. If there is a low risk for manipulation of data .

• Systematic sampling introduces certain arbitrary parameters in the data. This can cause overrepresentation or underrepresentation of patterns

In systematic sampling, members from a large population are selected according to a random starting and a fixed periodic interval.

Only stratified sampling, where the population is divided into several data, guarantees the member of each group within a population will be sampled.

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Answer:

Inequality 1 is incorrect; it should be g ≤ 80.

Step-by-step explanation:

Kyle's grandmother is not more than 80. This means that she is either equal to 80 or less than 80.

This gives us the inequality: g ≤ 80

Answer:

The number is divisible by 3.

Step-by-step explanation:

The conclusion is what a conditional statement ends with.