write a real world deseription for the Algebraic expression 4.95x + 3​

Answer: 1:5

Step-by-step explanation:

If the number of people who wear glasses are 1/5 of the population, the the entire population would be 5/5. In this case, your ratio would be 1/5:5/5, but when you simplify that, you’d get 1:5

I hope this helps!

Step-by-step explanation:

with each lawn mowed he earns more money so if he makes 3 lawns he makes a profit of 30x3=90 dollars

Answer:

Step-by-step explanation:

The graph that shows the relationship between the number of lawns Chris mows in a week and the amount of money he makes is a linear graph. On the x-axis, the number of lawns mowed would be represented, and on the y-axis, the corresponding amount of money Chris makes would be represented. As Chris makes $30 for each lawn he mows, the graph would be a straight line that goes through the origin (0,0), and for each increase of 1 lawn mowed, there would be a corresponding increase of $30 in the amount of money made.

If 12.5 cups of milk  and 15 cups of flour is required to make the cup , then  the total number of cups required to make the biscuit is 27.5   .

To make biscuits, we need a certain amount of ingredients, including milk and flour.

In this case, the number of cups of milk required is = 12.5  and

the number of cups of flour required is = 15 cups ;  

The total number of cups required to make biscuits is the Addition of the cups of milk and flour, which is 12.5 cups + 15 cups = 27.5 cups.

Therefore , 27.5 cups of milk and flour is required .

The given question is incomplete , the complete question is

If 12.5 cups of milk  and 15 cups of flour is required to make the cup then find the total number of cups required to make the biscuit .

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Answer:

7. (4, -6)

8. (1, 4)

Step-by-step explanation:

7.

substitution is when we use one equation to express one variable by the other, and then use that in the second equation to solve for this other variable.

with that value we go back into the first equation and solve for the first variable.

x + y = -2

x = -2 - y

4x + 2y = 4

2x + y = 2

here we use now the x = 2 - y :

2(-2 - y) + y = 2

-4 - 2y + y = 2

-4 - y = 2

-6 - y = 0

y = -6

x = -2 - -6 = -2 + 6 = 4

8.

elimination is when we transform the equations, so that after adding both equations the sum contains only one variable, for which we can then solve. and then we use that in any of the original equations to solve for the other equation.

in our case we don't need any transformation. just by adding both equations we eliminate x and can solve for y.

-5x + 6y = 19

5x - 3y = -7

------------------------

0 3y = 12

y = 12/3 = 4

now we use that in any of the original equations. e.g. the second :

5x - 3×4 = -7

5x - 12 = -7

5x = 5

x = 1

Answer:

y = (x - 6)^2 + 10.

Step-by-step explanation:

y = x^2 - 12x + 46

y = (x - 6)^2 - 36 + 46

y = (x - 6)^2 + 10.

The preimage of B' is B in the given transformation.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, Δ ABC is transformed into Δ A'B'C',

The corresponding preimages of the vertices are =

A → A'

B → B'

C → C'

Hence, the preimage of B' is B in the given transformation.

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Answer: A: (-2,5). B: (6,3). C: (-3,-7). D: (2,-5). E: (0,-3). F: (-7,0). G: (6,0). H: (0,6).

Step-by-step explanation:

Since the quadrants go as 1, 2, 3, and 4 in a counterclockwise motion starting from the top right, we already know all the point's quadrants. now it's a matter of looking at the points. Hope this helps!

She will pay $44.10 altogether for the jeans

A sales tax is a tax paid to the government for the sales of certain goods and services.

Since the pair of jeans cost $42.00 and the sales tax is 5%.

Sales pax = 5/100 * $42.00 = $2.10

Total cost = $42.00 + $2.10 = $44.10

Therefore, she will pay $44.10 altogether for the jeans

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An equation that could be used to answer the question above is,

3(x - 6) = 24.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Three friends went out to lunch. They each started with the same amount of money, and they each spent $6.

Now, They ended with $24 combined so each must have ended with

(24/3) = $8.

Now, Each has ended with $8 and spent $6 so they had a total of (8 + 6)

= $12.

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The coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7) can be calculated using vector subtraction, which is (2,-4,4) or (-2,4,-4)

Vector subtraction is a method of subtracting one vector from another, resulting in a new vector. The new vector will have the same direction as the vector being subtracted, and a magnitude equal to the difference of the magnitudes of the vectors being subtracted.

In this case, the vector being subtracted is from the tail to the head, so the new vector will point from the head to the tail.

The vector from tail to head can be written as:

Tail to Head = (3, -2, 7) – (1, 2, 3) = (2, -4, 4)

Therefore, the vector from head to tail is:

Head to Tail = – (2, -4, 4) = (-2, 4, -4)

The coordinates of the vector from head to tail are (-2, 4, -4).

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For given expression x will be equal to 1.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is m/2=18x-1

where m=33x+1

By putting value of m

33x+1=(18x-1)*2

33x+1=36x-2

3x=3

x=1

Hence,

          For given expression x will be equal to 1.

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After 10.01 years, the population will be equivalent to 50000.

Given is that the population of a town can be modeled using the formula as -

{P} = 25000 [tex]$e^{0.03t}[/tex]

For {P} = 50000, we can write -

50000 = 25000[tex]$e^{0.03t}[/tex]

[tex]$e^{0.03t}[/tex] = 2

log{[tex]$e^{0.03t}[/tex]} = log{2}

0.03t log {e} = log{2}

0.03t = log{2}

t = log{2}/(0.03)

t = 10.01 years

Therefore, after 10.01 years, the population will be equivalent to 50000.

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Using the properties of similarity, we say that;

Statements ΔPMK~ΔLMQ and Reason is SAS~.

When two figures have the same shape but differ in size, they are said to be similar figures. In other words, two figures are said to be comparable when they have many characteristics but aren't necessarily identical.

Similar figures are two shapes with the same dimension or common ratio but a different size or length, such as triangles, polygons, quadrilaterals, etc.

If two triangles are comparable, then any pairs of triangles with the same corresponding angles are also comparable.

Triangles have proportional sides on all matching sides.

In this, two sides are in equal ration and angle between these two lines is congurant. So using the properties of similarity, we say that; Statements ΔPMK~ΔLMQ and Reason is SAS~.

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Answer: B. 15x+7

Step-by-step explanation:

since you are calculating the total # of ice cream cones sold, you must add the two equations together: 8x+16+7x-9=

After you simplify this equation, you will have your answer.  

Answer:

164

Step-by-step explanation:

Probability that the sample mean is less than 850 if a sample of size 95 is taken from a population with a mean of 1035 and a standard deviation of 362 IS 4.941

The Central Limit Theorem says that no matter what the distribution of the population is, as long as the sample is “large,” meaning of size 30 or more, the sample mean is approximately normally distributed. If the population is normal to begin with then the sample mean also has a normal distribution, regardless of the sample size.

sample mean is less than 850

sample of size 95

mean of 1035

standard deviation of 362.

find the probability

μX−=μ=1035 and σX=σ/√n=362/√95 =37.44

P(850>X) =  (850 -1035)/ 37.44

               = 4.941

probability that the sample mean is less than 850 if a sample of size 95 is taken from a population with a mean of 1035 and a standard deviation of 362 IS 4.941

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The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.  

Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.

The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.

So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.

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The length of the diagonal of the rectangle is 11.7 units.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the area of a rectangle is 44 square units. Its length measures 11 units.

Area = L x W

44  = 11 x W

W = 4 units

D² = W² + L²

D = √ ( 11² + 4 ²)

D = √ ( 121 + 16)

D = 11.7 units'

Therefore, the measure of the diagonal is 11.7 units.

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You can construct one triangle with a 2-inch side, a 4-inch side, and a 5-inch side.

This is because of the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, the 2-inch side is less than the sum of the 4-inch and 5-inch sides, and the 4-inch side is less than the sum of the 2-inch and 5-inch sides, so the conditions of the triangle inequality theorem are satisfied. Therefore, it is possible to form a triangle with these side lengths.

The angle through which one of these tires will rotate during the warranty period is approximately 3.168 × 10⁸ radians.

To find the angle in radians, we need to know the distance that the tire covers and convert it to radians.

The distance covered by the tire can be found by multiplying the circumference of the tire by the number of rotations it makes. The circumference of the tire can be calculated as follows:

C = 2πr

where r is the radius of the tire

Since the diameter is given, the radius can be found by dividing the diameter by 2:

r = diameter/2

So,

C = 2π × (diameter/2) = π × diameter

The number of rotations can be found by dividing the distance covered by the tire by the circumference:

distance covered = 60,000 miles

1 mile = 5280 feet

distance covered = 60,000 × 5280 feet

rotations = distance covered/circumference

Using the above equations, we can find the angle (in radians) through which the tire rotates during the warranty period as follows:

angle = rotations × 2π

angle = (60,000 × 5280/(π×2.0)) × 2π = 3.168 × 10⁸ radians

So, the angle through which one of these tires will rotate during the warranty period is approximately 3.168 × 10⁸ radians.

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The financial save at least $300 per month and allocate $50 per month towards a new computer.

A budget that allows you to save at least $300 per month with your new net income of $2,190. Let's adjust expenses to meet your financial goals.

Old Budget:

Net Income: $1,850

Expenses:

Rent: $600

Car payment, car insurance, and gas: $475

Utilities, phone, and Internet: $230

Groceries: $300

Entertainment: $50

Renters insurance: $20

Discretionary spending: $75

Savings: $100

New Budget:

Net Income: $2,190

Expenses:

Rent: $600 (No change)

Car payment, car insurance, and gas: $475 (No change)

Utilities, phone, and Internet: $230 (No change)

Groceries: $300 (No change)

Entertainment: $50 (No change)

Renters insurance: $20 (No change)

Discretionary spending: $75 (No change)

New computer budget: $50

Savings:

Now,  to save at least $300 per month. So, let's set the savings amount to $300.

Savings: $300

Now, let's adjust the discretionary spending to meet the new savings goal:

Discretionary spending: $75 (old) + $300 (savings goal) - $50 (new computer budget) = $325

The new budget with the changes in mind is as follows:

Net Income: $2,190

Expenses:

Rent: $600

Car payment, car insurance, and gas: $475

Utilities, phone, and Internet: $230

Groceries: $300

Entertainment: $50

Renters insurance: $20

Discretionary spending: $325

New computer budget: $50

Savings: $300

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No, the function in the first column is not an eigenfunction of the operator in the second column.

In order for the function in the first column to be an eigenfunction of the operator in the second column, it must satisfy the equation Aφ = λφ, where A is the operator, λ is an eigenvalue, and φ is the eigenfunction. However, in this problem, the function in the first column is 5y5 y2d2/dy2 yx7−xy−7, and the operator in the second column is x3(∂3/∂x3) y3(∂3/∂y3). Since these do not satisfy the equation, the function in the first column is not an eigenfunction of the operator in the second column.

The complete question is :

Determine if the function in the first column is an eigenfunction of the operator in the second column.

5y5 y2d2/dy2 yx7−xy−7 x3(∂3/∂x3) y3(∂3/∂y3)

sinθcos3ϕ ∂2/∂θ2 ∂2/∂ϕ2

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You need to draw at least 5 cards to be sure to get three cards of the same denomination. The reason is that there are 13 different denominations and 5 choose 3 = 10 ways to choose 3 cards out of 5. So, in 5 cards, there will be at least one set of three cards with the same denomination.

Each denomination (number value) has 4 cards in a standard deck of 52 playing cards. When you draw 5 cards, you have at least 4 cards of the same denomination (number value), or you have at least 2 pairs of the same denomination, or you have 3 cards of one denomination and 2 of another. In the first case, you already have 3 cards of the same denomination, so you're done. In the second case, you can choose any one pair to be your set of three cards with the same denomination. In the third case, you can choose the three cards of one denomination to be your set. In all cases, you are guaranteed to have at least 3 cards of the same denomination after drawing 5 cards.

Therefore, to guarantee getting three cards of the same denomination, you need to draw at least 5 cards.

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As for the function f(x) = x + 8 has no values of x where its derivative is equal to 7

A "function" is a mathematical concept that assigns a unique output to each input. The derivative of a function gives us information about how the function is changing at any given point.

In this question, we are asked to find the values of x where the derivative of the function f(x) = x + 8 is equal to 7.

Here we have to solve this problem, we can start by finding the derivative of the function f(x) = x + 8.

The derivative of this function is f'(x) = 1, which means that for every unit increase in x, the function f(x) increases by 1 unit.

Next, we set f'(x) = 7 and solve for x.

This gives us the equation 1 = 7, which is not possible.

Therefore, there are no solutions to this problem and the values of x where f'(x) = 7 do not exist.

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The statistical decision you could make from this information is that the two variables are dependent and unlikely to occur by chance.

In a chi-square test of independence, a p-value of 0.0000 means that the probability of observing the data or a more extreme result given that the null hypothesis is true is very small. In this case, the p-value is less than the level of significance (0.05), which means that you would reject the null hypothesis.

Based on this information, you could make the statistical decision that there is evidence to suggest that there is a relationship between the two variables being tested and that this relationship is unlikely to have occurred by chance. This means that you would conclude that the variables are dependent on each other and not independent.

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The ratio of the variation between the group means and the variance within the groups is used to determine the f-statistic in an ANOVA test.

The ratio of variation between group means and variance within groups is used to determine the f-statistic in an ANOVA test. The difference between each group's means is measured, and the average of these differences is used to calculate the variance between the group means. Calculating the variance for each group and then averaging these variances yields the variance within the groups. The f-statistic is determined by dividing the variation between the group means by the variance within the groups. This statistic shows whether or not the variations in group means are noteworthy. The null hypothesis can be rejected if the f-statistic is greater than a predetermined threshold, indicating that the differences between the group means are statistically significant.

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Answer:

48

Step-by-step explanation:

its correct believe it or not

The ratio of the volume of the triangular prism to the volume of the cuboid is 3: 20

The base of the triangular prism is a right triangle with legs 5 cm, 4 cm

∴ b = 5 cm and h = 4 cm

∵ Its height is 9 cm

∴ H = 9 cm

Substitute them in the rule of the prism above

∴ V = 90 cm³

The dimensions of the base of the cuboid are 6 cm and 5 cm

∴ L = 6 cm and W = 5 cm

∵ Its height is 20 cm

∴ H = 20 cm

→ Substitute them in the rule of cuboid

V = 6 × 5 × 20

V = 600 cm³

Find the ratio between them

∵ V: V = 90: 600

= 3 : 20

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Find the ratio of the volume of the triangular prism

to the volume of the cuboid.

Answer:

The square root of 516 is 22.627416997969522 or approximately 22.63.

The equation for the given information is L = -1.5D + 35.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let L represent the water level after D days.

From the question, m = -1.5, b = 35, hence:

L = -1.5D + 35

Hence, the equation for the given information is L = -1.5D + 35.

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