Riley is saving up to buy a new television. She needs a total of $1,290.78. Riley has saved $200.73 already and earns $83.85 pe
week at her job. How many weeks does Riley need to work to save enough money to buy the new television? PLEASE HELP ASAP EXTRA POINTS!!

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

Step-by-step explanation:

A∩B=[-54,-42]∪[-25,70]

Answer:

7.5 cups pf rice

Step-by-step explanation:

45 divided by 6

Answer:

-23h

Step-by-step explanation:

An expression that is equivalent to the expression 8 x 6 is (2 x 4) x 6.

The correct option is D.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression is 8 x 6.

That means 8 multiplied by 6.

Or, 6 multiplied by 8.

To find the equivalent expression:

Simplify the expression by using the multiplication property.

Applying the multiplication property of associativity,

8 can be written as 2 x 4.

So, the expression is,

(2 x 4) x 6.

Therefore, the expression is (2 x 4) x 6.

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The complete question;

Which expression is another way to show 8 x 6?

A

(2+4) +6

B

(2+4) x6

C

(2×4) +6

D

(2×4) × 6

Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

⇒ P (X < x) = 0.92

⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.40=\frac{x-82.5}{9.25}\\\\x=82.5+(1.40\times 9.25)\\\\x=95.45\)

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.

Answer: It’s 2

Step-by-step explanation:

look at picture

The cost of students ticket is $37.5and the cost of general admission is $187.5.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Assume s be the students tickets cost and g be the general admission cost.

From the given information,

⇒  s + g = 225             ..(1)

 5s + 7g = 1500         ..(2)

From equation (1),

s = 225 - g

Plug the value of s in equation (2)

5(225 - g) + 7g = 1500

1125 - 5g + 7g = 1500

                  2g = 1500 - 1125

                  2g = 375

                    g = 187.5

Plug g = 125 in equation (1),

s + 187.5= 225

        s = 225 - 187.5

        s = 37.5

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Answer:

10.33 square units

Step-by-step explanation:

Area of the sector:

     ∠JKL = Ф= 74°

      JK = r = 4

\(\boxed{\text{\bf Area of sector = $ \dfrac{\theta}{360}\pi r^2$}}\)

  Ф is the central angle of the sector.

  r is the radius

\(\sf Area \ of \ the \ sector = \dfrac{74}{360}*3.14*4*4\)

                            = 10.33 square units

Answer:

Before a variable there is no coefficient.

There is an invisible 1 infront bc there is no real number. so the 1 appears.

Answer:

Step-by-step explanation:

The nth term of the sequence is

A(n) = 5n + 7

To find the (n+1)st term substitute n+1 into the general equation

That's

For (n + 1)st term

A(n+1) = 5(n+ 1) + 7

A(n+1) = 5n + 5 + 7

Hope this helps you

\( n^{\text{th}} \text{ term is } 5n+7 \)

forget n for a while.

let's call it t .

The \( t^{\text{th}} \text{ term is } 5t+7 \)

agreed? I don't think there should be a problem.

you're asked what's the \((t+1)^{\text{th}}\) term.

let's call it u . so just like we did before,

\( u^{\text{th}} \text{ term is } 5u+7 \)

but we know, \(u=t+1\)

So, \(5u+7=5(t+1)+7=5t+12\)

does that answer your question?

Answer: yes

Step-by-step explanation:

if u substitute 7 into the x for 4x - 28 then it would be the same as 4(7), because any variable next to a number means multiplication.

hope this was an easier way for u to understand

Answer:

Yes, 7 is still a solution.

Step-by-step explanation:

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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Answer:

la respuesta es D

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

Answer:

12x9= 124

Step-by-step explanation:

if you multply it right

The missing integer that makes the following addition statement true is -1.

The commutative law of addition is also known as the law of cumulative addition and it states that when two numbers are added together, then, the outcome is equal to the addition of their interchanged position because addition is considered as a binary operation.

Mathematically, the commutative law of addition can be represented using the following formula:

A + B = B + A.

An integer can be defined as a whole number that may either be positive, negative, or zero such as -1, 0, 1, 2, 3, etc.

Now, we would determine the missing number:

x + 3 = 2

x = 2 - 3

x = -1.

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Complete Question:

Find the missing integer that makes the following addition statement true.

+ 3 = 2

The radius of a circle is half the diameter.

Thus, the radius (r) is >>>

The area of a circle is given by the formula,

Where

r is the radius

Substituting the radius value into the area formula, we have:

Answer:

30

Step-by-step explanation:

get the x by itself on one side to solve

x-6/2=10

multiply both sides by 2 and divide by 6 which cancels out s x is by itself

x=10*6/2

simplify

x=60/2

x=30

Answer:

x = 13

Step-by-step explanation:

Given equation,

→ x - (6/2) = 10

Now the value of x will be,

→ x - (6/2) = 10

→ x = 10 + (6/2)

→ x = 10 + 3

→ [ x = 13 ]

Hence, the value of x is 13.

The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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Answer:

\(x = \frac{1}{4}\)

Step-by-step explanation:

\(\frac{x}{2} +\frac{3}{4} =\frac{7}{8}\)

→ Find the LCM of the denominators (2,4 and 8)

LCM = 8

→ Multiply the whole equation by 8 to get rid of the fractions

4x + 6 = 7

→ Minus 6 from both sides to isolate 4x

4x = 1

→ Divide both sides by 4 to isolate x

\(x = \frac{1}{4}\)

Answer:

Step-by-step explanation:

\( \frac{x}{2} + \frac{3}{4} = \frac{7}{8} \)

Multiply both sides of the equation by 8

\( \frac{x}{2} \times 8 + \frac{3}{4} \times 8 = \frac{7}{8} \)

\(4x + 6 = 7\)

Move constant to R.H.S and change its sign

\(4x = 7 - 6\)

Subtract the numbers

\(4x = 1\)

Divide both sides of the equation by 4

\( \frac{4x}{4} = \frac{1}{4} \)

Calculate

\(x = \frac{1}{4} \)

hope this helps..

Best regards!!

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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Step-by-step explanation:

2wks = 24 days

If he spent 60days going 127.8 miles

He will spend 14 days going X miles

60/14 =127.8/X cross multiply

60X= 14×127.8

X=( 14×127.8)÷60

X= 29.82 miles

\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)

The coordinates of the vertices after a dilation with a scale factor of 1/5 are A' = (-1, -2), B' = (2, 0),  C' = (1, 2) and D' = (-2, 0)

The complete question is added as an attachment

From the attached figure, we have the vertices before dilation to be:

A = (-5, -10)

B = (10, 0)

C = (5, 10)

D = (-10, 0)

The scale factor of dilation is given as:

k = 1/5

So, the coordinates of the vertices after a dilation with a scale factor of 1/5 are calculated using

Image = k * Pre-image

This gives

A' = 1/5 * (-5, -10)

B' = 1/5 * (10, 0)

C' = 1/5 * (5, 10)

D' = 1/5 * (-10, 0)

Evaluate the products

A' = (-1, -2)

B' = (2, 0)

C' = (1, 2)

D' = (-2, 0)

Hence, the coordinates of the vertices after a dilation with a scale factor of 1/5 are A' = (-1, -2), B' = (2, 0),  C' = (1, 2) and D' = (-2, 0)

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The volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0) is 25π/12 cubic units.

What is a triangle?

A triangle is a closed geometric shape that is formed by connecting three line segments. These line segments are called sides, and the points where they meet are called vertices. A triangle has three sides, three angles, and three vertices.

To start, let's graph the triangle to get a better understanding of the problem:

(0,3)   *

       |\

       | \

       |  \

       |   \

       |    \

(0,0)   *-----*-----> x

        (5,0)

The height of this slice is given by the line from the point (x,0) to the point (0,3), which has equation y = 3/5 * x + 0. The radius of the semicircle is half the height of the slice, which is given by the equation r = 3/10 * x.

The area of a semicircle is πr²/2, so the volume of this slice is:

V(x) = π * (3/10 * x)² / 2 * dx

To find the total volume of the solid, we need to integrate this expression over the range of x values that covers the entire base of the solid, which is from x=0 to x=5:

V = ∫₀₅ π * (3/10 * x)² / 2 dx

V = π/20 * ∫₀₅ x² dx

V = π/20 * [x³/3] from 0 to 5

V = π/20 * (5³/3)

V = π/4 * (25/3)

V = 25π/12

Therefore, the volume of the solid is 25π/12 cubic units.

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Answer:

b

Step-by-step explanation: