A party planner charges a flat fee of $100 to plan a birthday party plus an additional $15
per guest. If n = the number of guests and C = total charges, which of the following
shows how to determine the total charges?

Answer:

What are we answering?? theres nothing there

Step-by-step explanation:

Answer:

uhh there's nothing-

Step-by-step explanation:

Answer:

10625

Step-by-step explanation:

Let x= the amount loaned at 7%

which means that the amount loaned at 15% is 19000-x (or the rest of the money)

we can write the following equation

x*.07+(19000-x)(.15)=2000

solve for x

.07x+2850-.15x=2000

-.08x= -850

x=10625

The solution of the system of equation is given by the point where the

ordered pair of each equation are equal.

The solution of the equation system is x = -6

Reasons:

y₁ = 2·x + 7

y₂ = 1.5·x + 4

The values of y₁ for x < -7  are;

y₁₍₋₈₎ = 2 × (-8) + 7 = -9

y₁₍₋₉₎ = 2 × (-9) + 7 = -11

y₁₍₋₁₀₎ = 2 × (-10) + 7 = -13

Therefore, we get;

The values of y₁ for x < -7 = -9, -11, -13,...

The values of y₂ for x < -7  are;

y₂₍₋₈₎ = 1.5 × (-8) + 4 = -8

y₂₍₋₉₎ = 1.5 × (-9) + 4 = -9.5

y₂₍₋₁₀₎ = 1.5 × (-10) + 4 = -11

The values of y₂ for x < -7  are; -8, -9.5, -11

The values of y₁ for x > -5  are;

y₁₍₋₄₎ = 2 × (-4) + 7 = -1

y₁₍₋₃₎ = 2 × (-3) + 7 = 1

y₁₍₋₂₎ = 2 × (-2) + 7 = 3

Therefore, we get;

The values of y₁ for x > -5 = -1, 1, 3

The values of y₂ for x > -5  are;

y₂₍₋₄₎ = 1.5 × (-4) + 4 = -2

y₂₍₋₃₎ = 1.5 × (-3) + 4 = -0.5

y₂₍₋₂₎ = 1.5 × (-2) + 4 = 1

The values of y₂ for x > -5  are; -2, -0.5, 1, ...

The table is presented as follows;

\(\begin{tabular}{|c|r|r|}x&y_1&y_2\\-2&3&1\\-3&1&-0.5\\-4&-1&-2\\-5&-3&-3.5\\-6&-5&-5\\-7&-7&-6.5\\-8&-9&-8\end{array}\right]\)

From the above table the solution to the system of equation (the value of x

at which y₁ = y₂) is x = -6.

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Answer:

The price of the items before the discount was $36.

Step-by-step explanation:

Since Emma has a loyalty card good for a 10% discount at her local pharmacy, to determine what her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $ 32.40, the following calculation must be made:

100 - 10 = 90

90 = 32.40

100 = X

100 x 32.40 / 90 = X

3240/90 = X

36 = X

Therefore, the price of the items before the discount was $ 36.

Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

For example, 2/3 + 3/6

The denominators in this case have a common denominator which is 6.

All you have to do is multiply the 2/3 by 2 in the numerator and the denominator. Once you do, you'll get 4/6 which you could then add to 3/6 to get 7/6 which would equal 1 1/6 or 7/6 either is fine.

Hope this helps! :)

Answer:

To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.

Step-by-step explanation:

This simply means moving everything possible thing off x and isolate it.

y=x/3

We see x is stuck with a divide by 3 so we need to get rid of that by multiplying by 3 on both sides.

y*3=x/3*3

switch left and right side and simplify

x=3y

Done! as simple as that.

Answer:

A^2 + B^2=C^2

Step-by-step explanation:

21^2 + 28^2= c/c

For the second answer its just backwards.

Answer:

17, 19 and 21

Step-by-step explanation:

17 + 19 + 21 = 57

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

30

Step-by-step explanation:

Start by substituting

2(5+3²) +2 = ___

Parenthesis

3²= 3 · 3 = 9

add that to 5 = 14

2(14) +2 = ___

2 times 14 = 28.

28 + 2 = 30

Answer:

30.

Step-by-step explanation:

2(5+ x^2)+ y

x=3, y=2

Using the given information for x and y and distributing that into the equation, the equation becomes:

2(5+ 3^2)+ 2

Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.

The answer you should get is 30. :,)

Answer:

48x^2+ 20x-8

Step-by-step explanation:

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

y2-y1

x2-x1

should be correct

Step-by-step explanation:

prove me wrong

Answer:

The answer c is correct.  

Step-by-step explanation:

When two chords share an endpoint, the inscribed angle has half of the measure of the intercepted arc.   In this example, ADE is the inscribed angle, so its measure is one half of the arc AE's measure. m<ADE= 1/2(mAE)

i hope this helped :)

The relationship between the measure of angle ADE and the measure of arc AE is  m∠ADE  = \(\frac{1}{2}\) m (arc AE) .

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Inscribed angles that intercept the same arc are congruent. This is called the Congruent Inscribed Angles Theorem

According to the question

The relationship between the measure of angle ADE and the measure of arc AE .

∠ADE  is a  inscribed angle

arc AE  is a  intercepted arc

According to Inscribed Angle Theorem

∠ADE  = \(\frac{1}{2}\) arc AE

Hence, the relationship between the measure of angle ADE and the measure of arc AE is  m∠ADE  = \(\frac{1}{2}\) m (arc AE) .

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The required inequality is  5x + 2 ≤ 12 and the solution is 2

Inequalities are mathematical expressions that compare two values or expressions, indicating that one is less than, greater than, or equal to the other.

In this problem, we used a linear inequality to represent the relationship between the amount of water used and the total cost of the water bill.

We then used algebra to rearrange the inequality and solve for x, which gave us the maximum amount of water that the family can use without going over budget.

Here we have

The cost of the water bill is made up of two components: a fixed monthly connection fee of $2, and a variable cost based on the amount of water used.

The variable cost is $5 per thousand gallons, and the total cost, C, in dollars can be expressed as:

C = 5x + 2

where x is the number of thousands of gallons used.

The problem states that the family has budgeted $12 for their water bill this month. Hence the cost must not exceed $12  

=> 5x + 2 ≤ 12

The above expression can be rewritten as follows

=>  5x + 2 ≤ 12  

Subtract 2 from both sides

=> 5x ≤ 10

Divide by 2 into both sides

=> x ≤ 2

Therefore,

The required inequality is  5x + 2 ≤ 12 and the solution is 2

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Answer:

A small candle holder holds 2 candles

A large candle holder holds 5 candles

Explanation:

Here, we want to set up a system of linear equations which we will proceed to solve simultaneously by the elimination method

Let the number of small candles held be s and the number of large candles held be l

Let us start with the east side:

there were 22 small candle holders and 4 large candle holders to give a total of 64 candles

Mathematically:

For the west side:

there were 21 small candle holders and 21 large candle holders to give a total of 147 candles:

The two equations we are to solve simultaneously by elimination are:

Multiply the second equation by 4 and the first by 1

We have that as:

Subtract equation ii from i:

For l, we multiply the first equation by 1 and the second by 22

We have that as:

Subtract the first equation from the second:

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

D) The terms in Pattern B are one half the corresponding terms in Pattern A.

Step-by-step explanation:

Pattern A | Pattern B

0 divided by 1/2 = 0

6 divided by 1/2 = 3

12 divided by 1/2 = 6

18 divided by 1/2 = 9

24 divided by 1/2 = 12

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer:

Step-by-step explanation:

Correct choice is A

2,infinity

Hope this helps

Answer:[2,♾)

Step-by-step explanation:

The area of the circle is 380.13271 in².

To find the area.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called center.

Given that:

Diameter =22 inch

The area of the circle is :

A=π\(r^{2}\)

d=\(2r\)

Solving for A

A= \(\frac{1}{4}\)π\(d^{2}\)

A=  \(\frac{1}{4}\)π\(22^{2}\)

A≈380.13271 in²

So, the area of the circle is 380.13271 in².

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The freezing point of water is 0°C or 32°F while the boiling point of  water is 100°C or 212°F.

Temperature is the measure of the degree of hotness or coldness of a substance or place. It is usually expressed Fahrenheit and Celsius scale. Temperature indicates the direction of heat flow.

The freezing point of water is 0°C or 32°F while the boiling point of  water is 100°C or 212°F.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

The first one means everything in the bracket is squared even the sign while the second one only the number is squared.

Step-by-step explanation:

Therefore answer for (-5)^(2) is 25

While for -5^2 is -25

Hope that helps

Answer:

x+12

Step-by-step explanation:

X is the number

12 more

MORE

x+12

The expressions that are equal to 6 x \(10^5\) are:

60 × 10,000

600 × 1,000

6,000 × 100

Options B, C, and E are the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A.

60 × 1,000

6 x \(10^{4}\)

B.

60 × 10,000

= 6 x \(10^5\)

C.

600 × 1,000

= 6 x \(10^5\)

D.

6,000 × 1,000

= 6 x \(10^6\)

E.

6,000 × 100

= 6 x \(10^5\)

Thus,

The expressions that are equal to 6 x \(10^5\) are:

60 × 10,000

600 × 1,000

6,000 × 100

Options B, C, and E are the correct answer.

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