how many cubes with an edge length of 1/2cm can fit into a rectangular prism 7 1/2 cm by 12 cm by 15 1/2 cm?

Serena needs 12 grams of the 40% solution and 8 grams of the 70% solution.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt, one with 40% and the other with 70% of salt in them,

let her need x grams of the 40% solution and y grams of the 70% solution.

so x + y = 20.......(1)

and 0.40x + 0.40y = 20(0.52)

0.40x + 0.70y = 10.4

from equation 1 we get x = 20 - y

substitute in the equation 0.40x + 0.70y = 10.4

0.40(20 - y) + 0.70y = 10.4

8 - 0.40y + 0.70y = 10.4

0.30y = 10.4 - 8

y = 2.4/0.30

y= 8 grams

and x = 20 - 8 = 12 grams

Hence she use 12 grams of 40% solution and 8 grams of 70% solution.

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The rational function graph is of the function f(x)=1/(x-6) since it does not touch the point (6,0).

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. "A function is a rule that assigns one output to each input. They arise when each x-value corresponds to exactly one y-value." You've undoubtedly also heard of the vertical line test.

Here,

The graph of rational function is of function f(x)=1/(x-6) as it does not touch the point (6,0).

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Total 7 cups are being holded by the water bottle.

What is a fraction ?

In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

Given :

water bottle : 56 ounces of water

1 cup = 8 fluid ounces

Cups that holds 56 ounces of water = 56/8 [Since, 1 cup = 8 fluid ounces]

Cups that holds 56 ounces of water = 7

Cups that holds 56 ounces of water = cups that water bottle can hold

Thus , cups that water bottle can hold  = 7

Hence , Total 7 cups are being holded by the water bottle.

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Answer:

Yes. Both ratios can be reduced down to 1/2.

Step-by-step explanation:

Hope it helps!

For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

To simplify these ratios, we can use division.

So, 7: 14 simplified is 1: 2.

So, 4: 8 simplified is 1: 2.

If these ratios are both simplified to equal 1 :2, they are proportional.

There are 2 gravel is in one dump tuck.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

4 dump trucks carry 8 tons of gravel evenly between them.

Hence, Number of gravel in one dump truck = 8 / 4

                                                                      = 2

Thus, There are 2 gravel is in one dump tuck.

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hello hello I am working for a company in North London with this machine and have 5.30am with this machine and it has been a few months now since yesterday and I have not received the refund so can I get in touch as I have not been able for any further action on this machine and I have not received the refund or refund the money back

Answer:

6x^2 - 11x - 12

Step-by-step explanation:

(-6x-2)+(6x^2-5x-10)

6x^2 - 11x - 12

Average temperature of sample of 100 refrigerator is  37.37 degrees. yes the refrigerators within the 90% confidence interval.

Yes, the temperature is within the confidence. A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a population standard deviation of 0.6 degrees, based on samples of 100.

The average temperature of the air that is indicated by a thermometer that is properly exposed during a given time period, usually a day, a month, or a year.

The confident choice is the criteria that you choose or the range that you choose that your answer might fall in this area according to your estimation as the chances of getting fail become lesser and lesser as your confidence about for choice increases.

There is a 5% chance if being wrong among the 95% confident choice . And also there is a 10% chance of being wrong with a 90% confident choice  .But 99% confident choice will be wider as there will be minimum chance of being wrong.

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Given the above Trigonometric expressions,

1) θ = 35°

2) θ =62°

3) θ = 90-y°

Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilized in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.

There are six expressions of an angle that are often used in trigonometry. Their names and acronyms include

For A)

Sin(55) = cos (θ)

sin (55)= sin(90-θ)

Compare both sides

55 = 90 - θ

θ = 90 - 55

θ = 35°

For B)

Sin(θ) = Cos (28)

angle θ would be  Arc sin (cos (28))

Thus,

θ =  62°

For C)

Cos(y) = sin (θ)

Angle θ = arc sin ( cos (y) )

Thus,

θ = 90 - y


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Answer:

D

Step-by-step explanation:

The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

The sampling method used in this data collection is cluster sampling. Cluster sampling is a probability sampling technique that divides the population into separate groups or clusters and randomly selects a number of those clusters to be included in the sample. In this case, the population would be the students in the algebra class, and the clusters would be the individual students. Using a simple random sampling technique, the interviewer would select a certain number of students from the class and ask them how many pairs of jeans they own. The average number of pairs of jeans owned by the students in the sample would then be calculated by adding together the number of jeans owned by all of the students in the sample, and then dividing by the number of students in the sample.

Average number of pairs of jeans owned by students in sample = (Sum of jeans owned by all students in sample) / (Number of students in sample)

The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

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The linear equation is y = 20 + 2x and the complete table of values is

Kites purchased     Total cost

0                                      20

1                                      22

4                                      28

7                                     34

10                                   40

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

Cost of kite = $20 for shopping and $2 per kite

When this is represented as an equation, we have

y = 20 + 2x

Where x = the number of kites purchased

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

When x = 4

y = 20 + 2 * 4 = 28

When x = 7

y = 20 + 2 * 7 = 34

When x = 10

y = 20 + 2 * 10 = 40

So, the missing entries are $28, $34 and $40

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Answer:

neither

Step-by-step explanation:

3x - y = 2    put this is slope-intercept form

-y = -3x + 2

y = 3x - 2    compare this to the other equation y = 1/3x - 11

slope of the 1st one:  m = 3

slope of the 2nd one: m = 1/3

if the lines were parallel, the slopes would be the same

if the lines were perpendicular, one slope would be the negative reciprocal of the other

The ordered pair that represents the solution to the system of equations is given as follows:

(-3,-0.5).

The equations of the system are given as follows:

The x-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

0.5x + 1 = 1.5x + 4

-x = 3

x = -3.

The y-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

y = 0.5(-3) + 1

y = -1.5 + 1

y = -0.5.

Meaning that the correct option is given by the first option.

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The Values of x, y, and z will be  40, 43, and 97 for the given quadrilateral.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given a parallelogram ABCD that has ∠A = y + ?, ∠B  = z, ∠C  =43 + x. and  ∠D = 97

In parallelogram opposite sides are Equal

thus,

z = 97

So, ∠B = 97

Since AD and BC are parallel

y will be the inner vertex angle of these lines

Thus,

y = 43

And Since, Sum of all angles in a triangle is 180 degrees.

For triangle ADC

97 + x + y = 180

Substitute the value of y

97 + 43 = 180

x = 40

therefore, the Values of x, y, and z will be  40, 43, and 97 for the given quadrilateral.

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Answer:

(1, - 1.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (4, 0 ) and (x₂, y₂ ) = (- 2, - 3 ) , then

midpoint = ( [tex]\frac{4-2}{2}[/tex] , [tex]\frac{0-3}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-3}{2}[/tex] ) = (1, - 1.5 )

(1, -1.5).

Step-by-step explanation:

The midpoint of a segment with endpoints (x1, y1) and (x2, y2) is given by the following formula:

((x1 + x2)/2, (y1 + y2)/2)

So, for the given endpoints (4,0) and (-2,-3), the midpoint is:

((4 + (-2))/2, (0 + (-3))/2) = (1, -1.5)

The midpoint of the segment is (1, -1.5).

The true statements about the mean are second, third, and fourth.

It is algebraically described (that is, there is an equation we can use to calculate its value).

It is commonly directed as the arithmetic average.

It can be utilised for data that are calculated on a nominal scale. The mean is appropriate for data that are measured on an interval or ratio scale but not for data that are measured on a nominal scale. Nominal scale data are categorical and do not have a meaningful order or distance between categories.

The following statement about the mean is sometimes true, sometimes false:

It always resembles an actual score in the data. This depends on the specific data set and the value of the mean. If the mean is a value that appears in the data, then it corresponds to an actual score in the data. If the mean is not a value that appears in the data, then it does not correspond to an actual score in the data.

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The inequality that can be used to represent the problem is given as follows:

4.5 + a ≤ 20.

Clint's total spending is divided as follows:

Then the equation that represents Clint's total cost is given as follows:

T(a) = 4.50 + a.

The maximum amount that he can spend is given as follows:

$20.

Hence the inequality that can be used to represent the problem is given as follows:

T(a) ≤ 20.

4.5 + a ≤ 20.

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Answer:

wheres the pic to see rotation

Step-by-step explanation:

Step-by-step explanation:

a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters

n + q = 13 because the total number of quarters plus nickels is 13

The coins have a total value of $2.05

Nickels are 0.05 cents and quarters are 0.25 cents, which means

0.05n + 0.25q = $2.05

Making your system of equations

[tex]n + q = 13 \\ 0.05n + 0.25q = 2.05[/tex]

Answer:

a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters

Step-by-step explanation:

The correct answer is the signs for r and b are the same (+ or ). The slope b and the correlation r don't necessarily have the same values, but they always share the same sign.

The idea employed in the issue is

1.Correlation

2.Regression

Correlation: Correlation analysis is used to gauge how strongly two variables are related. The symbol for the correlation coefficient is r.

Shape: Whether the data points follow a linear pattern or some other complex curves is indicated by the association's form. If it seems that a line would adequately summarise the overall trend in the data, then do so. The relationship between the two variables is then linear.

The appropriate statement can be found below:

The determination of the standard deviation between the two variables influences how a least-squares linear regression function slopes, and in a similar way, how the sample correlation coefficients are interpreted.

By examining the sign of the regression slope and the correlation coefficient, which depend on the standard deviation between the two variables, the proper conclusion can be drawn.

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The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 59,049.

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 3^10, or 59,049.

This is because for each of the 10 positions in the sequence, you have 3 choices: 1, 2, or 3, and since repetition is not allowed, the choices for each position are mutually exclusive.

Two occurrences are mutually exclusive or disjoint in logic and probability theory if they cannot occur at the same time. The set of outcomes of a single coin toss, which can result in either heads or tails but not both, is a good example.

Mutually exclusive is a statistical word that describes two or more occurrences that cannot occur at the same time. It is typically used to describe a circumstance in which the occurrence of one result takes precedence over the occurrence of the other. War and peace, for example, cannot exist together.

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The equations are simplified to:

1. x = 1/3

2. 8. 44

3. 0.35

4. 0.27

5. P = 7/8

From the information given,, we have that;

1.  1/3x = 1

to simply this, cross multiply

3x = 1

Make 'x' the subject

x = 1/3

2. 2.11/0.25

Divide the values

8. 44

3.  0.7/2.1

To evaluate this, divide the numerator by the denominator

0.35

4. 0.21 x 1.29

To simply, multiply the values

0.27

5.  P - 3/4 = 1/8

collect like terms

P= 1/8 + 3/4

Find the LCM

P = 1 + 6  /8

P = 7/8

Hence, the values are simplified by multiplication, addition and division

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Answer:

d)

Step-by-step explanation:

50-18=324

32÷50=0,64

350×0,64=224

Answer:

75% decrease

Step-by-step explanation:

88 - 66 = 22

66 is 75% of 88

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Percentage\ change \ formula\ is: \bf \dfrac{(v_2 - v_1)}{|v_2|}\times 100 = \boxed{\mathsf{\bf percentage \ change}}}[/tex]

[tex]\textsf{Your equation:} \mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]

[tex]\mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]

[tex]\mathsf{= \mathbf{\dfrac{(22 - 88)}{|88|}\times \dfrac{100}{1}}}[/tex]

[tex]\mathbf{= \dfrac{-66}{88}\times\dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-66\div 11}{88\div11}\times\dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-6}{8}\times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-6\div2}{8\div2}\times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-3}{4} \times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-3\times100}{4\times1}}[/tex]

[tex]\mathbf{= \dfrac{-300}{4}}[/tex]

[tex]\mathbf{= -300\div4}[/tex]

[tex]\mathbf{= -75}[/tex]

[tex]\mathbf{\rightarrow -75\%\ will\ be\ your\ change}[/tex]

[tex]\mathbf{\rightarrow 75\%\ will \ be\ your\ percentage\ change\ that\ decreased}[/tex]

[tex]\huge\text{Therefore your answer should probably be:}[/tex]

[tex]\huge\boxed{\mathsf{75\% \ decrease}}\huge\checkmark[/tex]

[tex]\huge\text{So, your I guess the answer with the choices}\\\\\huge\text{you have provided we will be: }\\\\\huge\boxed{\textsf {77.3\% (Option C.)}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

3 + √2 best believe it haha

The type of graph which will be made is Histogram.

A histogram is a particular kind of graph that is frequently used to examine the core, shape, and distribution of a set of data. The purpose of a histogram is to aid in summarising and providing a visual understanding of continuous data, as well as to assist users in data comparison and working with huge amounts of information.

In this given case, the user is interested in researching property tax rates in the US, so they choose 25 residences at random and research each one's property tax rate. They may visualise how the tax rates are dispersed and gain an understanding of the data's centre, shape, and spread by producing a histogram of the data. The property tax rates in the United States can then be inferred from this information.

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The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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The probability of eating both poisoned apples if you randomly eat 3 out of the five apples without replacement is 1/10 or 0.1.

To calculate this probability, we use the formula for combinations of n objects taken r at a time, (nCr) which is equal to n!/r!(n-r)!. In this example, n = 5 and r = 3, so the formula reduces to 5!/3!(5-3)! = (5*4*3)/(3*2*1) = 10. This means that there are 10 different combinations of 3 apples, out of the five, that can be chosen. Since only two of the apples are poisoned, the probability of eating both of the poisoned apples is 2/10 or 0.1.

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