Using the formula C =5/9(F −32), find C when F is −58∘.? C∘

The teacher made two different purchases:

First purchase:

4 folders and 9 books for $33.75

Second purchase

3 folders and 12 books for $34.50

Let "f" represent the cost of each folder and "b" represent the cost of each book. You can express the total cost of each purchase as equations:

Now we have established a system of equations, to solve it, the first step is to write one of the equations in terms of one of the variables.

For example, I will write the first equation in terms if "f"

The second step is to replace the expression obtained for "f" in the second equation:

Distribute the multiplication on the parentheses term

Pass the number to the right side of the equal sign by applying the opposite operation to both sides of it

Now divide b by 21/4 to cancel the multiplication and to keep the equality valid, you have to divide both sides of the expression, so divide 147/16 by 21/4 too, or multiply them by its reciprocal fraction, 4/21, is the same.

Each book costs $1.75

Now that we have determined how much does each book cost, we can determine the cost of each folder by replacing the value of "b" in the expression obtained for "f"

Each folder costs $4.50

Answer:

g(x) = (x + 5)²

Explanation:

g is the same function f shifted 5 units to the left.

Then, if we have a function h(x) =f(x+c), h(x) is f(x) shifted c units to the left.

So, to translate f 5 units to the left, we need to replace x by (x + 5), to get:

So, the equation for g(x) is:

g(x) = (x + 5)²

Answer:

The coordinates of P is;

Explanation:

Given that;

Point A is located at (7, -3) and point M is located at (-9,5).

And;

M is the midpoint of segment AP.

The coordinate of P will be represented by;

Using the formula for calculating midpoint;

Making x2 and y2 the subject of formula;

So, substituting the given coordinates;

So, we have;

And;

Therefore, the coordinates of P is;

The length of the real dinosaur's tail is 120 inches.

We know that the scale of the model is 1in : 15in, this means that each inch in the model represents 15 inches of the actual dinosaur.

So, if the tail of the model has a length of 8 inches, the length of the real tail will have 15 times that, so the length is given by the product:

8in*15 = 120in

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The question doesn't specify which fraction of an hour it takes Ary to write a thank you card.

Let's imagine that it takes her 1/4 of an hour to write a thank you card.

In such case, in one hour she will be able to write 4 thank you cards.

and therefore in 8 hours, ishe will be able to write 32 thank you cards (8 times 4 cards).

If it takes her 1/6 of an hour to write a thank you card, then in hone hour she will write a total of 6 thank you cards, and therefore, in 8 hours she will be able to write 8 times 6 thank you cards: 8 x 6 = 48 thank you cards.

If it takes her 1/5 of an hour to write a thank you card, then in hone hour she will write a total of 5 thank you cards, and therefore, in 8 hours she will be able to write 8 times 5 thank you cards: 8 x 5 = 40 thank you cards.

You just use this type of criteria to solve the problem whatever the fraction of the hour it takes to write one card as they specify in the question.

Solution:

Given the inequality below

Solving the inequality to find the value of x

Hence, the answer is

We can write this inequalities as:

If the cargo W has to be 2,800 pounds at most, then:

The shopper has to spend $100 or more to get a discount, so the spending d to get a discount can be written as:

Answer:

C = 100p + 200

Step-by-step explanation:

Because C is the total cost per day, 200 is the y-intercept because it's paid daily. The 100 is the slope since "he pays a cost of $100 per phone produced

Recall the surface area for the following figures.

Given that

height = h = 10.5 cm

radius = r = 3 cm

π = 22/7

Substitute the following given and we have the surface area for the pen holder

Now that we have the surface area, multiply it by 35 since there are 35 competitors in the competition

We have to find how far is the bird from Amanda.

With the information given, we can draw:

We can start by finding the third angle.

The sum of the angles have to be equal to 180°, so we can find it as:

Now, we can apply the Law of Sines to find the distance between Amanda (A) and the bird (B):

where AJ is the distance between Amanda and Jamie and AB is the distance between the bird and Amanda.

We then can solve for AB as:

Answer: 25.23 [Option A]

The function B has a greater rate of change

Function A is represented by the table:

Selecting the points (1, 5) and (2, 7)

The rate of change of function A:

The rate of change of the function A = 2

Function B is represented by the graph:

(1, 1) and (2, 4)

The rate of change of the function B = 3

The function B has a greater rate of change

hello

to solve this problem, we need to find the property of equality

let the unknown number be represented by x

to solve for x, divide both sides of the equation by 1

the number here is 4

the property used to get the answer is division property of equality

We have to calculate the height of the stack of hay bales.

We can start by calculating the volume as the number of bales times the volume of one hay:

Now, we know that this volume will be the area of the base times the height.

The area of the base can be calculated as the product of the length and the width:

We then can calculate the height as the volume divided by the base area:

Answer the height is 16 feet.

The rule of the simple interest is

I is the amount of interest

P is the initial amount

R is the interest rate in decimal

T is the time

We need to find the initial amount if the new amount is $20,000, the interest rate is 5% for 4 years, then

A = 20000

R = 5/100 = 0.05

T = 4

Substitute them in the rules above

You need to deposit $16,666.67

The rule of the compounded interest

A is the new amount

P is the initial amount

r is the interest rate in decimal

t is the time

A = 20000

r = 0.05

t = 4

Substitute them in the rule above

You need to deposit $16,454.05

We can calculate the percent of the price that is excise tax by dividing the amount of tax per gallon by the final price of the gallon.

If the tax is 0.16 per gallon and the final price is 1.25 per gallon, the percentage can be calculated as:

The percentage that is city excise tax is 12.8% of the final price of the gasoline.

As for the sequence 3,-10,16,-36,68,..., notice that

Therefore, the next term is

The answer is -140.

Regarding the second pattern, notice that

Then, the next term of the sequence is

The answer is 912

Use the distributive property to expand the parenthesis:

Then:

The given addition exercise is:

The LCM of the denominator (5 and 3) = 15

Multiply 2/5 by 3/3

Multiply 1/3 by 5/5

The addition becomes

Therefore, we can fill in the vacant boxes as shown below:

First, we convert the 210 pounds to kilograms as the dose is given in mg per kg.

Recall that:

Therefore:

The dose call for 330 mg per kg, therefore, to get the dose for 95.2544 kg, we multiply by 95.2544:

Finally, dividing by 4 we get the dose the person should receive every 6 hours:

To find the other factor of the polynomial

We need to find two integers which multiplication gives 36 and addition is -13.

This integers would be -9 and -4, then we have

now we factor the right term using common factors:

Hence:

Therefore, the other binomial we are looking for is (p-4).

Answer:

Uncle Bill has ignored the laws of nature and the known universe and reached a stunning 4096 years old

Step-by-step explanation:

Just multiply 8 * 512

500 * 8 = 4000, 12 * 8 = 96, 4000 + 96 = 4096

Answer:44

Step-by-step explanation:

Let:

and:

After a reflection over the y-axis:

After a translation 3 units down:

Since:

The answer is the option K.

Using the Borda's method, when one person is ranked as 1st, he/she gets 3 points, if he/she is ranked 2nd, get 2 points, also, if he/she is ranked as 3rd get 1 point, and finally, 0 points if she/he is ranked as 4th

so, let's detemine how many points got each one

Cardona: Was selected 1st by 6 people, 2nd by 2 people, 3rd by 4 people and 4th by 2 people

So, that's a total of 26 points

Pitts-Jones: Was selected as: #1 by 4 people, #2 by 3 people, #3 by 6 people and 4th by 1 person

So, that's 24 points for Pitts-Jones,

De Plata: Was ranked #1 by 2 people, #2 by 8 people, #3 by 1 person and #4 by 3 people

That's 23 points for De Plata

Vincent: Was ranked as #1 by 2 people, #2 by 1 person, #3 by 3 people and #4 by 8 people

that's 11 points for Vincent,

Answer: From the above, we can conclude that the winner using Borda's method is Cardona

We know that two lines are parallel if they have the same slope. So we first find the slope of the given line. One way to do this is to rewrite the equation in its slope-intercept form, solving for y:

Then, we have:

Now, we have the slope and a point through which the line passes:

Then, we can use the point-slope formula:

The above equation is the equation of the line in its point-slope form. However, we can also rewrite the equation of the line in its standard form by solving for the constant:

Therefore, an equation of the line that passes through the point (-5,2) and is parallel to the line 4x - 5y = 5 is

The roots are those values that make a function or polynomial take a zero value. The roots are also the intersection points with the x-axis. In the case of a quadratic equation you can use the quadratic formula to find its roots:

So, in this case, you have

As you can see, this function only has one root, at x = 3.

You can see this in the graph of the function:

Question 1

Explanation

To solve these types of questions, we will use the Tangent radius theorem

Tangent to a Circle Theorem

The tangent theorem states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

The figure below helps give a pictorial view

The principle to be used here for question 1 will be

Simplifying further

Thus, the value of x is 15 units

A.

Using the points (2,3) and (0,6) to find the slope (m), we have:

The slope is m= -3/2

B.

Using the points (-1, 7.5) and (1, 4.5) to find the slope (m), we have:

The slope is m= -3/2

C.

The slope is the same as we are finding the ratio of the vertical change to the horizontal change between two points. Since the function represents a linear equation the slope is going to be the same despite of the points you choose.

The value of the expression 0.3(1/4 - 1) + 0.35 is 0.125

The expression is

0.3(1/4 - 1) + 0.35

The expression is defined as the sentence with a minimum of two variables and at least one math operation.

Here the expression is

0.3 (1/4 - 1) + 0.35

First do the arithmetic operation in the bracket

0.3(1/4 - 1) + 0.35 = 0.3 × -0.75 + 0.35

In next step do the multiplication

0.3 × -0.75 + 0.35 = -0.225 + 0.35

Do the addition of the numbers

-0.225 + 0.35 = 0.125

Hence, the value of the expression 0.3(1/4 - 1) + 0.35 is 0.125

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Answer:

Roderick has created the correct orange color.

Explanation:

The orange color required mixing 5 parts of red paint with 7 parts of yellow paint. The ratio is given below:

Roderick mixed 15 parts of red paint with 21 parts of yellow paint. This is expressed in ratio as:

Since the two ratios reduces to the same value, they are equivalent, thus Roderick has created the correct orange color.