the corner cafe makes a bowl of oatmeal using 6 ounces of water and 4 ounces of oats. The breakfast shop makes a bowl of oatmealusing double the amount of water and oats.

The smaller number is 6 .

The larger number is 22

Let's let x be the smaller number and y be the larger number.

From the problem, we know that one number is eight less than five times the other, so we can write:

y = 5x - 8

We also know that the sum of the two numbers is 28, so we can write:

x + y = 28

Now we have two equations in two variables. We can solve for one of the variables in terms of the other, and substitute that expression into the other equation to eliminate one variable.

Let's solve the first equation for x

x = (y + 8)/5

Now we can substitute this expression for x into the second equation:

(y + 8)/5 + y = 28

Multiplying both sides by 5 to eliminate the fraction, we get:

y + 8 + 5y = 140

Combining like terms, we get:

6y + 8 = 140

Subtracting 8 from both sides, we get:

6y = 132

Dividing both sides by 6, we get:

y = 22

Now we can use the equation y = 5x - 8 to solve for x:

22 = 5x - 8

Adding 8 to both sides, we get:

30 = 5x

Dividing both sides by 5, we get:

x = 6

Therefore, the smaller number is 6 and the larger number is 22.

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Answer: yea -1/2 is the slope

Step-by-step explanation:

Answer:

$34.5

Step-by-step explanation:

Turning the 3/4 into a decimal would be .75, .75 can go into 7.5 10 times. You would multiply 10 by the cost $3.45 and you would get $34.5 for 7.5 lbs of walnuts.

Answer:

Hi

Please mark brainliest ❣️

Answer:

The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) =  \frac{2}{10}\)

Step-by-step explanation:

From the question we are told that

  The total number of colored balls  is  n  =  10

   The number of red balls is r =  2 red

    The number of white ball is  w =  4

    The number of blue balls is  b  =  4

   The number of balls to be selected is  N  =  2 balls

    The cost of playing picking a ball is  c  =  $10

    The winnings is \(k =  \$ P(A)\)

Here P(A) is the probability of obtaining the exact sequence of result  and from the question it  is  P(A) =  0.10

Generally my price according to the question is  

     \(k =  \frac{0.10 }{10}\)

=>   \(k =  0.01 \)

Let assume we selected a red ball

 Generally the probability of selecting a red ball is  mathematically represented as

       \(P(r) =  \frac{2}{10}\)

Answer: 162°

Step-by-step explanation:

To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.

First, a percent divided by 100 becomes a decimal.

       45% / 100 = 0.45

Next, "of" means multiplication in mathematics.

       0.45 * 360 = 162

The central angle will be 162°.

Answer:

Kelly's wrong, because 97/1000 can be written as 0.097 not 0.97.

Step-by-step explanation:

you would get 0.97 by dividing 97 by 100.

Answer:

10.44 feet

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.  

First we have to find the diagonal for the base.

6²+8²=x²

36+64=x²

100=x²

√100=x

x=10

Now we can find d.

10²+3²=x²

100+9=x²

109=x²

√109=x

x=10.44 feet

Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

1. The outcomes are mutually exclusive.

2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

3. The probability for a particular value or outcome must be between 0 and 1.

Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

II. Discrete probability distributions for discrete variables.

For example, when a coin is tossed, you can only have a head or tail (H or T).

Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).

Answer:

Equipamiento para 8 jugadores

Explanation:

Porque la diferencia de dinero no es muy grande ni muy pequeña, por lo que obtienes equipamiento para más jugadores a un buen precio.

Answer:

14.94

Step-by-step explanation:

25/30 = 83.333

.30x83 = 24.9

.60 x 24.9 = 14.94

Answer:50

Step-by-step explanation:

30% to 60% is times 2

So 25 ×2=50

Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

The correct option is (b) i.e. The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.

What is Trigonometric ratio?

Trigonometric ratios are mathematical functions used in trigonometry, which is the branch of mathematics that deals with the relationships between the sides and angles of triangles. The three main trigonometric ratios are sine, cosine, and tangent

All statements contain some sort of mistake except the statement (b).

The statements should be corrected as given below:

A). The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.

C). The cotangent function is defined as the length of the side adjacent over the length of the side opposite.

D). The sine function is defined as the length of the side opposite over the length of the hypotenuse.

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The labeled angles are called vertical angles, the the value of m is given as follows:

m = 80º.

Two angles are called vertical angles when they are opposite by the same vertex when two segments are crossing each other.

These two vertical angles are congruent, meaning that they have the same angle measure.

From the image given at the end of the answer, the vertical angles are given as follows:

As they are the angles on the opposite sides of the two crossing lines.

Hence the value of the variable m is obtained applying the congruence of the angles, as follows:

m + 20 = 100

m = 100 - 20

m = 80º.

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

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When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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Answer:

tbh i am not that good at math but i think its b

Step-by-step explanation:

Answer:

Below!

Explanation:

Looking at the system of equations, we can tell that they are forming a parallel line, which means that the system of equations have no solution because the system of equations have the same slopes, but different y-intercepts. Please check out the graph below to understand better.

Answer:

this is the answer:

Step-by-step explanation:

Hope it helps:

Answer:

123456789012345678901234567890123456678901234567890123445667890123456789012345678901234567890

Step-by-step explanation:

For this case we have the following expression:

\(5(y-6)\)

We observe that the number 5 is a common factor of both terms within the parenthesis.

To prove it, we can apply the distributive property.

We have then:

\(5y-30\)

We observe then that 5 is a common factor of the given expression.

Answer:

An algebraic expression that is a product with a factor of 5 is:

A) 5 (y-6)

Answer:

7/8X-8=216      

x=256

7/8x-8=216

     +8  +8

7/8x=224

7/8    7/8

x=256

Step-by-step explanation:

Option B is a correct representation of the given number line,  -3.8 < 1.5, and is located to the left of 1.5.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.

Given a number line and two points marked on it,

-3.8 and 1.5

we find from the number line that -3.8 lie left to 1.5,

and the negative numbers are always less than the positive numbers,

so -3.8 is less than 1.5,

-3.8 < 1.5, and lie left to 1.5.

Hence, option B is correct.

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Approximately 7 employees took a break longer than 49 minutes.

We have,

In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.

The line within the box represents the median.

The "whiskers" extend to the minimum and maximum values, excluding any outliers.

Given the information provided:

Median = 41

Q1 = 37

Q3 = 49

Largest = 55

Smallest = 35

Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.

Now,

The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:

25% of 27 employees

= (25/100) x 27

= 6.75

Since we cannot have a fractional number of employees, we round up to the nearest whole number.

Therefore,

Approximately 7 employees took a break longer than 49 minutes.

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The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

Answer:

i) -2.5

ii) 3/4 - 0.250

iii) 0.282

iv) 85% - 0.850

v) \(\sqrt{3\\\) - 1.7320

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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