Find the value of c. 16 = 4 - 3c

Answer:

The sum of all the sweets is 54 sweets

Step-by-step explanation:

Here, we want to calculate the number of sweets the three have altogether.

Let the number of sweet Faith has be x

Mathematically;

Faith has 4 sweets fewer than the average number of sweets

The average is the sum of all the sweets divided by 3

The average will be (10 + 30 + x)/3

Thus;

(10 + 30 + x)/3 - 4 = x

(40 + x)/3 = x + 4

40 + x = 3(x + 4)

40 + x = 3x + 12

40-12 = 3x -x

28 = 2x

x = 28/2

x = 14 sweets

So the sum of all the sweets would be 10 + 30 + 14 = 54 sweets

The  step that  is included in the construction of a perpendicular line through a point off the line is  B: Connect arcs that are either above or below the original line and a point off the line with a straightedge.

Perpendicular lines can be regarded as the lines that intersect at a 90-degree angle.

for  instance,  line AB is perpendicular to line CD, hence, The  step that  is included in the construction of a perpendicular line through a point off the line is  B: Connect arcs that are either above or below the original line and a point off the line with a straightedge.

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CHECK THE COMPLETE QUESTIOPN BELOW:

Question 1 Multiple Choice Worth 1 points)

(01.03 LC)

Which of the following steps is included in the construction of a perpendicular line through a point off the line?

A: Connect arc above the line with arcs below the given line

B: Connect arcs that are either above or below the original line and a point off the line with a straightedge

C: Create arcs on either side of a point that is off the given line

D: Create a copied angle by using the first two lines as the original angle

Answer: b

Step-by-step explanation:

Answer:

5 dollars a month

Step-by-step explanation:

There are 12 months in a year, so we divide the yearly amount by 12

60/12 = 5

5 dollars a month

Let's use the method of setting up a system of equations to solve this problem.

Let x be the number of pints of the first type of fruit drink (30% pure), and y be the number of pints of the second type of fruit drink (55% pure). We want to find the values of x and y that will produce 60 pints of a mixture that is 40% pure.

We can start by setting up two equations based on the information given:

Equation 1: x + y = 60 (since we want to produce 60 pints of the mixture)

Equation 2: 0.3x + 0.55y = 0.4(60) (since we want the mixture to be 40% pure)

Simplifying Equation 2, we get:

0.3x + 0.55y = 24

Now we have a system of two equations with two unknowns:

x + y = 60

0.3x + 0.55y = 24

We can solve this system using substitution or elimination. Here, we'll use substitution:

Solving Equation 1 for x, we get x = 60 - y. Substituting this expression for x in Equation 2, we get:

0.3(60 - y) + 0.55y = 24

Expanding and simplifying, we get:

18 - 0.3y + 0.55y = 24

Combining like terms, we get:

0.25y = 6

Dividing by 0.25, we get:

y = 24

Substituting this value of y back into x + y = 60, we get:

x + 24 = 60

Solving for x, we get:

x = 36

Therefore, we need 36 pints of the 30% pure fruit drink and 24 pints of the 55% pure fruit drink to make 60 pints of a mixture that is 40% pure.

Answer:\(\frac{8}{9}\)

Step-by-step explanation:

Four fifths=4/5

two ninths=2/9

\(\frac{4}{5} *5*\frac{2}{9}=\frac{8}{9}\)

Assuming you meant ( four fifths ) * 5 * ( two ninths ), the answer would be 0.88888888888.

If you meant 4/5 x 5 and then x 2/9, the answer would be 8/9, because 4/5 x 5 is 4, and 4 x 2/9 is 8/9.

As we know that

So , we need to find side of square first

Using area of square = Side²

➩ 144 = S²

➩ S = √144

➩ Side = 12 cm

Now ,

➨ Diagonal = √2 ( 12 )

➨ Diagonal of square = 12√2

Answer:a

Step-by-step explanation: 25x8=200

(10x25)-50=200

The center and radius of a circle given by the equation x² - 10x + y² + 6y - 30 = 0  is (5,-3) and√64 = 8 units.

When finding the center and radius of a circle given by the equation x² - 10x + y² + 6y - 30 = 0, one can use the following steps:

The first step is to rearrange the equation into the standard form, (x - a)² + (y - b)² = r². This is done by completing the square for both the x and y terms in the equation.

x² - 10x + y² + 6y - 30 = 0x² - 10x + 25 + y² + 6y + 9 - 30 = 25 + 9(x - 5)² + (y + 3)² = 64 Therefore, the center of the circle is (5,-3), and the radius is √64 = 8 units.

Explanation:  Given the equation x² - 10x + y² + 6y - 30 = 0, we want to find the center and radius of the circle. The standard form of the equation of a circle with center (a,b) and radius r is (x - a)² + (y - b)² = r². We will begin by completing the square for the x terms and the y terms separately: For the x terms: x² - 10x= x² - 10x + 25 - 25= (x - 5)² - 25 For the y terms: y² + 6y= y² + 6y + 9 - 9= (y + 3)² - 9 Now we can substitute these expressions back into the original equation and simplify: x² - 10x + y² + 6y - 30 = 0(x - 5)² - 25 + (y + 3)² - 9 - 30 = 0(x - 5)² + (y + 3)² = 64 The equation is now in standard form,

which means that the center of the circle is (5,-3) and the radius is √64 = 8 units.

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Answer:

[See Below]

Step-by-step explanation:

\(Hey~There!\)

________________________

➜ Solve:

________________________

So based on our work above we can conclude that the equation is equal because when solve it equals \(1\), making \(1=1\).

________________________

\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ

Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Answer:

x^3+8

The polynomial given may be: x^3 + 8. One choice

Step-by-step explanation:

The polynomial given may be: x^3 + 8. One choice

x^3+8

Answer is above

Hope this helps.

Answer:

1 and 1/6

Step-by-step explanation:

7 / 6 has a greater numerator so simplify to 1 whole and one sixth

The cost of workers per day is $12 * 8 = $96. With each worker costing $12 per hour and the machine cost being $20 per day, the total daily cost is $12 * 8 + $20 = $116.

The total daily cost of producing 55 chairs per hour in a wooden chair factory operating for 8 hours per day can be calculated by multiplying the cost per worker per hour by the number of workers and hours worked, and adding the cost of the machines.

To calculate the total daily cost, we need to consider the cost of workers and the cost of machines. Each worker costs $12 per hour, and the factory operates for 8 hours per day. So the cost of workers per day is $12 * 8 = $96. In addition, the cost of machines is a fixed cost of $20 per day, regardless of the number of chairs produced. Therefore, the total daily cost is $96 + $20 = $116. This means that producing at a rate of 55 chairs per hour would result in a total daily cost of $116.

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Answer:

?

Step-by-step explanation:

Answer:

こんにちは、お元気ですか？

あなたの質問があれば、私もうまくやっています。日本での生活はとても楽しいです！日本に来てください。

Step-by-step explanation:

If a triangle has angles that measure 52.4 and 16.4, then the equation which can be used to find the value of x, the third measure of the triangle is x = 180 - (52.4 + 16.4)= 111.2°.

To find the value of x, follow these steps:

Thus, the equation which can be used to find the value of x, the third measure of the triangle is: x = 180 - (52.4 + 16.4)= 111.2°.

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Answer:

42.6 degrees

Step-by-step explanation:

A supplementary angle is one that adds to the other one so the sum is 180 degrees. So 180-137.4=42.6

To find the equation of the ellipsoid passing through the points (±5, 0, 0), (0, ±6, 0), and (0, 0, ±7), we can use the standard equation for an ellipsoid centered at the origin:

(x^2 / a^2) + (y^2 / b^2) + (z^2 / c^2) = 1

where a, b, and c are the semi-axes of the ellipsoid along the x, y, and z directions, respectively.

To determine the values of a, b, and c, we can substitute the given points into the equation and solve for the parameters.

Substituting the point (5, 0, 0):

(5^2 / a^2) + (0^2 / b^2) + (0^2 / c^2) = 1

25 / a^2 = 1

a^2 = 25

a = 5

Substituting the point (0, 6, 0):

(0^2 / a^2) + (6^2 / b^2) + (0^2 / c^2) = 1

36 / b^2 = 1

b^2 = 36

b = 6

Substituting the point (0, 0, 7):

(0^2 / a^2) + (0^2 / b^2) + (7^2 / c^2) = 1

49 / c^2 = 1

c^2 = 49

c = 7

Therefore, the equation of the ellipsoid passing through the points (±5, 0, 0), (0, ±6, 0), and (0, 0, ±7) is:

(x^2 / 5^2) + (y^2 / 6^2) + (z^2 / 7^2) = 1

Simplifying further:

(x^2 / 25) + (y^2 / 36) + (z^2 / 49) = 1

This is the equation of the ellipsoid with semi-axes of length 5 along the x-axis, 6 along the y-axis, and 7 along the z-axis.

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Answer:

0.856p dollars

Step-by-step explanation:

Original price of TV: p

Discount: 20% of p

Discounted price: p - 20% of p = p - 0.2p = 0.8p

7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p

Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p

Answer: 0.856p dollars

Answer: 17/28

Step-by-step explanation:

Since there is a total profit of 6/7 million dollars and the spinning department gave a profit of 1/4 million, then the profit gotten from other departments will be the fraction of profit from the spinning department subtracted from the total profit. This will be:

= 6/7 - 1/4

= 24/28 - 7/28

= 17/28

The fraction of profit from other department is 17/28.

Answer:

Lemme see I odnt know

Step-by-step explanation:

The system of equations shown in the graph has infinitely many solutions.

Considering the graph containing the equations for the system, the solution of the system of equations is given by the point of intersection of all the equations of the system.

Hence the number of solutions is given as follows:

In this problem, we have two overlapping curves, hence the system has an infinite number of solutions.

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The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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Answer:

132

Step-by-step explanation:

calculator says so.

Given that:

1. The brown family paid $170 for 3 children and 2 adults

2. The Rodriguez family paid $360 for 4 children and 6 adults

a. if x is the price of a child's ticket and y is the price of an adult's ticket, then the system of equations that models the situation would be:

Note that:

Equation (1) and (2) are the model equations for the Brown family and Rodriguez family respectively

b.

Note that, the red and blue line represents the first and second model equations respectively

c. The coordinates of the point intersection is:

d.

The coordinate of the point of intersection (30, 40) means that the price of a child's ticket for the Brown and Rodriguez family is $30, and the cost of an adult's ticket for the Brown and Rodriguez family is $40

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

-3（3+x) + 4(x-6) = -4

-9 - 3x + 4x - 24 = -4

-3x + 4x -9 -24 = -4

1x -33 = -4

x = 29

Checking if the answer is right or not

-3(3 + 29) + 4(29 - 6) = -4

-9 - 87 + 116 -24 = -4

-96 + 92 = -4

-4 = -4

Answer:

One-way ANOVA test.

Step-by-step explanation:

In this case, the participants were randomly assigned to one of three groups:

A z-test or a t-test is used when we need to test the significance of the difference between two group means.

A One-way ANOVA test is used to determine whether there is significant difference between the means for more than two groups.

Thus, a One-way ANOVA test can be used to compare the mean pulse rates from each group.

Answer:

9/4

Step-by-step explanation:

5×|-2-7(3)|-2×17

5×|-2-21|-34

5×|-23|-34

5×23-34

115-34=81

22+sq rt(7×28) 28=4×7 sq rt= 2×2×7×7

22+2×7=22+14=36

81÷9/36÷9=9/4

Answer:

y=-2x+4

x | y

0 | 4

2 | 0

Step-by-step explanation: