Write the improper fraction 30/7 as a mixed number

After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The expression for the difference between a number s and -6 is:

s - (-6)

or

s + 6

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The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer: \((-\infty, \infty)\)

Step-by-step explanation:

\(f(x)=\frac{2}{9}x+4\) has a domain of all real numbers since it is a polynomial function.

Answer:

1+-1=0 I would assume that would be sufficient unless Im underthinking it.

An equation to model the sum of the situation will be +1 - 1 = 0.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that "A hydrogen atom has a zero charge because it has been negatively charged electron and one positively charged proton."

The expression for the given situation will be written as below:-

+1 - 1 = 0

Therefore, the equation to model the sum of the situation will be +1 - 1 = 0.

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Answer:

magnification = 50

Step-by-step explanation:

to find how much 0.01 mm is being multiplied by, create an equation:

0.01mm x ____ = 0.5mm

let the unknown = y (normally i would use x but i can get confusing with the multiplication symbols)

0.01 x y = 0.5

rearrange to get the unknown by itself (let me know in the comments if you don't know how to rearrange):

y = 0.5 ÷ 0.01

y = 50

substitute y value back into the equation:

0.01 x  y = 0.5

0.01 x 50 = 0.5

∴ the microscope is magnified by 50

The magnification of the microscope can be calculated using the formula:

Magnification = Image size / Object size

In this case, the object size is given as 0.01 mm and the image size is given as 0.5 mm.

Substituting the values in the formula, we get:

Magnification = 0.5 mm / 0.01 mm

Magnification = 50

Therefore, the magnification of the

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The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

x= 14.0 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

x + 1.4x = 180

2.4x = 180

x = 75, so 1.4(75) = 105

Answer:

B same as hope this helps

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Area of A:

A = bh

A = 10(10)

A = 100

Area of B:

A = 1/2bh

A = 1/2(10)(10)

A = 5(10)

A = 50

Combined:

100 + 50

150

Answer:

150

Step-by-step explanation:

My math genius friend told meh the answer bc I'm not smart at math.

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

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How many batches are there?

1/3*1/6=1/12

Answer:

2 cups in each batch

Step-by-step explanation:

1/3 x 6 = 2

hope that helps!

Answer:

\(X \sim N(\mu, \sigma)\)

And from this case we can see that the deviation is given by:

\(\sigma = 3\)

Step-by-step explanation:

For this case we have the following notation given:

\( X \sim N (5,3)\)

And from this we know that the distribution for the random variable is normal and we know that in general the normal distribution is given by:

\(X \sim N(\mu, \sigma)\)

And from this case we can see that the deviation is given by:

\(\sigma = 3\)

Answer:

I think it would be $6.85

Step-by-step explanation:

Because if he has 6.20+14 nickels would be 14 every time u found by 5 all the way to 14 which is 65 and 6.20+65 is 6.85

The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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The content of the first tank is three times the second tank, and 1,000 L

less the first tank is twice the second indicating 9,000 L and 3,000 L

Responses:

The fuel content in one tank  = 3 × The content of the second tank

The content of the first tank - 1000 = 2 × (initial content of second tank + 1000)

Let  A represent the content of the first tank, and let B represent the

content of the second tank, we can write the following equations;

A = 3·B

A - 1000 = 2 × (B + 1000)

Which gives;

3·B - 1000 = 2 × (B + 1000)

3·B  = 2 × (B + 1000) + 1000 = 2·B + 2000 + 1000 = 2·B + 3000

3·B - 2·B = 3000

B = 3000

A = 3 × B

A = 3 × 3000 = 9000

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Answer:

(a) The height of 70.90 inches represents the 95th ​percentile.

(b) The height of 64.27 inches represents the first quartile.

Step-by-step explanation:

We are given that in a survey of women in a certain country​ (ages 20-​29), the mean height was 66.2 inches with a standard deviation of 2.86 inches.

Let X = heights of women in a certain country.

So, X ~ Normal(\(\mu=66.2,\sigma^{2} =2.86^{2}\))

The z-score probability distribution for the normal distribution is given by;

                                   Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = mean height = 66.2 inches

           \(\sigma\) = standard deviation = 2.86 inches

(a) We have to find the height that represents 95th percentile, that means;

         P(X < x) = 0.95        {wherex is the required height}

         P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-66.2}{2.86}\) ) = 0.95

         P(Z <  \(\frac{x-66.2}{2.86}\) ) = 0.95

Now, in the z table the critical value of x that represents the top 5% area is given by 1.645, that is;

                              \(\frac{x-66.2}{2.86}=1.645\)

                             \({x-66.2=1.645\times 2.86\)

                              x = 66.2 + 4.70 = 70.90 inches

So, the height of 70.90 inches represents the 95th ​percentile.

(b) We have to find the height that represents the first quartile, that means;

         P(X < x) = 0.25        {wherex is the required height}

         P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-66.2}{2.86}\) ) = 0.25

         P(Z <  \(\frac{x-66.2}{2.86}\) ) = 0.25

Now, in the z table the critical value of x that represents the below 25% area is given by -0.6745, that is;

                              \(\frac{x-66.2}{2.86}=-0.6745\)

                             \({x-66.2=-0.6745\times 2.86\)

                              x = 66.2 - 1.93 = 64.27 inches

So, the height of 64.27 inches represents the first quartile.

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Answer:

The equation is wrongexplanatiowrongexplanwrongo

Step-by-step explanation:

Answer:

90 dollars

Step-by-step explanation:

I did maths hghbhhbghfggghggfgy

Answer:

z=3

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

I think it's B

Step-by-step explanation:

I believe the answer is C

No. The square of the longest side must be equal to the sum of the squares of the smaller sides. But we have

9² + 7² = 81 + 49 = 140 ≠ 121 = 11²