Put a decimal in the number 3467 so that the 7 has a value of 7/100.​

Let cost of each charm be \(x\)

The cost of \(2\) charms would be \(2x\)

One chain is used in each of the three bracelets which costs \(\$4\).

So, cost of one bracelet for one of her friends would be

\(2x+4\)

Since, Janice makes three identical charm bracelets it would cost \(3(2x+4)\) in total.

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Moe's present age = 32

Zach's present age = 24

Let Moe's present age be represented by m

Let Zach's present age be represented by z

Moe is 8 years older than Zach now

m = z + 8..........(1)

Twenty years ago, Moe's age would be m - 20

Twenty years ago, Zach's age would be z - 20

Twenty years ago, Moe's age was three times that of Zach

m - 20 = 3(z - 20)

m - 20 = 3z - 60

m = 3z - 60 + 20

m = 3z - 40..........(2)

Let equations (1) and (2) be equal to each other:

z + 8 = 3z - 40

3z - z = 8 + 40

2z = 48

z = 48 / 2

z = 24

Substitute the value of z into equation (1)

m = z + 8

m = 24 + 8

m = 32

Moe's present age = 32

Zach's present age = 24

Answer:

0.42

Step-by-step explanation:

<3

The coordinates of the required point are (1,2).

To find the coordinates of the point that partitions the segment from (-4,7) to (7,-4) into a ratio of 6 to 5, we need to use the section formula:

Let the coordinates of the required point be (x,y).

Then, according to the section formula, we have:

x = [(5)(7) + (6)(-4)]/(5+6) = (35 - 24)/11 = 11/11 = 1

y = [(5)(-4) + (6)(7)]/(5+6) = (-20 + 42)/11 = 22/11 = 2

Therefore, the coordinates of the required point are (1,2).

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

Area = 300

Perimeter= 74

Diagonal= 27.73

Step-by-step explanation:

Area= 25*12= 300

Perimeter= 2(25+12)

Diagonal= \sqrt{12^2+25^2}

Answer:

area = 300 sq ft

Step-by-step explanation:

to find area you multiply length by width, length 25ft width 12ft

25

x12

300

Using relations in a right triangle and the Pythagorean Theorem, it is found that the missing side lengths are as follows:

There are three relations in a right triangle, given as follows:

For this problem, we have that:

tan(A) = b/a.

Hence:

5/12 = 6/a

Applying cross multiplication, the side a is found as follows:

5a = 72

a = 72/5

a = 14.4.

The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:

\(h^2 = l_1^2 + l_2^2\)

Hence the hypotenuse c is given as follows:

c² = 5² + 14.4²

c = sqrt(5² + 14.4²)

c = 15.24.

For the triangle, we have that:

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At t = 1, the surge function C(t) is increasing and decreasing at an inflection point.

To determine the behavior of the surge function C(t) at t = 1, we need to analyze its first and second derivatives.

The first derivative of C(t) with respect to t is:

C'(t) = 10e^(-0.5t) - 5te^(-0.5t)

The second derivative of C(t) with respect to t is:

C''(t) = 2.5te^(-0.5t) - 10e^(-0.5t)

To find out whether C(t) is decreasing or increasing at t = 1, we need to evaluate the sign of C'(t) at t = 1. Plugging in t = 1, we get:

C'(1) = 10e^(-0.5) - 5e^(-0.5) = 5e^(-0.5) > 0

Since C'(1) is positive, we can conclude that C(t) is increasing at t = 1.

To determine whether C(t) is increasing at an inflection point or decreasing at a maximum, we need to evaluate the sign of C''(t) at t = 1. Plugging in t = 1, we get:

C''(1) = 2.5e^(-0.5) - 10e^(-0.5) = -7.5e^(-0.5) < 0

Since C''(1) is negative, we can conclude that C(t) is decreasing at an inflection point at t = 1.

In summary, at t = 1, the surge function C(t) is increasing and decreasing at an inflection point.

The fact that the second derivative is negative tells us that the function is concave down, meaning that its rate of increase is slowing down. Thus, even though C(t) is increasing at t = 1, it is doing so at a decreasing rate.

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Answer:

D. angle SWT and angle QWT are complementary

Step-by-step explanation:

The angles formed at W when the two lines, PS and RT, which are perpendicular to each other intercept at W are right angles.

Thus, let's analyse each given statements to see which is true or not true about the angle pairs formed:

Statement 1: "angle PWQ and angle QWT are complementary".

m<PWT = 90°.

m<PWQ + m<QWT = m<PWT (angle addition postulate)

m<PWQ + m<QWT = 90° (definition of complementary angles)

Therefore, statement 1 is CORRECT.

Statement 2: "angle PWR and angle TWP are supplementary".

m<PWR = 90°

m<TWP = 90°

m<PWR + m<TWP = 180° (definition of supplementary angles)

Therefore, statement 2 is CORRECT.

Statement 3: "angle RWQ and angle TWQ are supplementary".

<RWQ and <TWQ are angles on a straight line and are a linear pair.

m<RWQ + m<TWQ = 180° (definition of supplementary angles)

Therefore, statement 3 is CORRECT.

Statement 4: "angle SWT and angle QWT are complementary".

m<SWT = 90°

Therefore, m<SWT + m<QWT ≠ 90°

The sum of both angles does not give 90°. Therefore, statement 4 is INCORRECT.

Answer:

Step-by-step explanation:

We know that:

We don't know:

Let's count up by tenths:

It suddenly stops at 0.8.

Let's count up by hundredths:

It stops at 0.85.

0.85 is your answer.

Answer:

5 days

Step-by-step explanation:

Since the burrito stand uses 1/2 of a bag of tortillas, take 2 1/2 divided by 1/2 to find how many days the tortillas will last.

2.5/0.5 = 5 days

Answer:

\( - 50 + 8i\)

Step-by-step explanation:

\(1. \: - 35 - 15i + 21i - 9 - (6 - 2i) \\ 2. \: - 35 - 15i + 21i - 9 - 6 + 2i \\ 3. \: ( - 35 - 9 - 6) + ( - 15i + 21i + 2i) \\ 4. \: - 50 + 8i\)

Answer:

a

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = \(\frac{opposite}{adjacent}\) = \(\frac{20}{x}\) ( multiply both sides by x )

x × tan15° = 20 ( divide both sides by tan15° )

x = \(\frac{20}{tan15}\) ≈ 74.6 ft ( to the nearest tenth of a foot )

switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

Let's see point E in its original position: (3.-4)

Now lets transform the point (x,y) -->  (x + 8, y +5)

               (3, -4) --> (3 + 8, -4 + 5) --> (11, 1)

Therefore coordinate E's new position is (11, 1)

Hope that helps!

Answer:

-21

Step-by-step explanation:

Answer:

20/27

Step-by-step explanation:

Measures of angles ACB and AC are is m(ACB) = 64°, m(AC) = 146°

Given that m(AB) = 64° and m(ABC) = 73°, we can find the measures of m(ACB) and m(AC) using the properties of angles in a circle.

First, we know that the measure of a central angle is equal to the measure of the intercepted arc. In this case, m(ACB) is the central angle, and the intercepted arc is AB. Therefore, m(ACB) = m(AB) = 64°.

Next, we can use the property that an inscribed angle is half the measure of its intercepted arc. The angle ABC is an inscribed angle, and it intercepts the arc AC. Therefore, m(AC) = 2 * m(ABC) = 2 * 73° = 146°.

To summarize:

m(ACB) = 64°

m(AC) = 146°

These are the measures of angles ACB and AC, respectively, based on the given information.

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Answer:

289m²

Step-by-step explanation:

Area of circle =πr²=π×17²=289m² when r=radius =17m

Answer:

point C ad B located on the x axis

Answer:

36 mph

Step-by-step explanation:

In this question, we are trying to find how many miles the car drives PER hour.

We know that the car traveled 180 miles, and within the travel it took the car 5 hours.

To find your answer, we would simply divide 180 by 5 to see how many miles she drove per hour.

Solve:

180/5 = 36

This means that the rate of travel of the car is 36 mph.

Answer:

b,c,e

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following DE = 4X-2

EF = 3x+2

FG 5x-3

GD = 2x+5

Since DE is parallel to GF, this means that the sides are equal hence;

4x - 2 = 5x - 3

4x - 5x = -3 + 2

-x = -1

x = 1

Hence the value of x is 1

The happening in the graph is that the speed of the roller skater increases and decreases with time

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following axes

x-axis = Time

y-axis = Speed

The x-axis is continually increasing while the y-axis decreases and increases (as in a sine function)

This means that the speed increases and decreases with time

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Answer:

the anwser is C

Step-by-step explanation:

i just got it right like 5 seconds ago

Answer:

its A C E

Step-by-step explanation:

When we have a system of linear equations of the form Ax = b, where A is a matrix of coefficients, x is a vector of variables, and b is a vector of constants, the solution set of the system is the set of all possible solutions that satisfy the equations. The statement "The solution set of Ax = b is the set of all vectors of the form w = p + vh where vh is any solution of the equation Ax = 0" is a true statement.

To understand why this statement is true, we first need to consider the concept of a homogeneous system of linear equations. A homogeneous system of linear equations is a system of equations where the constant vector b is zero. In other words, the equations in the system only involve the variables, and there are no constant terms.

If we have a homogeneous system of linear equations Ax = 0, we can find a solution vector vh that satisfies the system. This vector is called a homogeneous solution or a null space solution. It represents a vector that, when multiplied by the matrix A, results in the zero vector.

Now, if we have a non-homogeneous system of equations Ax = b, we can find a particular solution vector p that satisfies the system. This vector represents a specific solution to the equations that is not necessarily a homogeneous solution.

The statement in question is true because the solution set of the non-homogeneous system Ax = b can be expressed as the sum of a particular solution p and any linear combination of homogeneous solutions vh. In other words, any solution vector w that satisfies the system can be expressed as w = p + vh, where vh is any solution of the equation Ax = 0.

This is because when we add a homogeneous solution to a particular solution, we get another solution of the system. This is because when we multiply A by the sum of a particular solution and a homogeneous solution, we get A(p + vh) = Ap + Avh = b + 0 = b, which satisfies the original system.

In summary, the statement "The solution set of Ax = b is the set of all vectors of the form w = p + vh where vh is any solution of the equation Ax = 0" is true because any solution vector w that satisfies the non-homogeneous system Ax = b can be expressed as the sum of a particular solution p and any linear combination of homogeneous solutions vh. This is because adding a homogeneous solution to a particular solution gives another solution of the system, and any solution of the homogeneous system is a valid homogeneous solution.

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