What is the solution to In (x2 - 16) = 0?
x=1v17
x= +4
x=+/32

Answer:

6(4-3x)

Step-by-step explanation:

6 times 4 = 6 times 4-3x

The algebraic expression for the given data in the question is 6 ( 4 - 3x ).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given data is six times four less than three times x.

The given data can be written in the algebraic expression as:-

6( 4 - 3x )

Therefore, the algebraic expression for the given data in the question is 6 ( 4 - 3x ).

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Answer:

B. 7 miles

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Functions

Systems of Linear Equations

Step-by-step explanation:

Step 1: Define

Identify given.

[Ralph's Walking Distance Function]: d = -6t + 10

[Joan's Bicycle Distance Function]: d = 14t

Step 2: Find Meeting Point

To find where Joan and Ralph will meet, we need to find where they intersect. Therefore, we need to find the time which they both meet up at. To do this, we can use the process of substitution to find our value of t:

From here, we can simply use techniques listed under "Algebra I" to solve for t:

[tex]\displaystyle\begin{aligned}14t & = -6t + 10 \\20t & = 10 \\t & = \boxed{ \frac{1}{2} } \\\end{aligned}[/tex]

∴ both Joan and Ralph will meet up in half an hour, or 0.5 hours.

Step 3: Find Mileage

To find how many miles they will meet up at, we substitute the number of hours elapsed (found in Step 2) and substitute it into any of the equations given:

[tex]\displaystyle\begin{aligned}d & = 14t \\& = 14 \bigg( \frac{1}{2} \bigg) \\& = \boxed{7} \\\end{aligned}[/tex]

∴ Joan will meet Ralph after 7 miles.

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Topic: Algebra I

The answer is B. 7 miles. Joan and Ralph meet when their distances are equal. By solving the distance equations, we find they meet after 7 miles.

To establish where Joan will meet Ralph, we must find the time when their distances are equal. We equate their distance equations: d = -6t + 10 (Ralph) and d = 14t (Joan).

Set the equations equal to each other:

Combine like terms:

Divide both sides by 20:

Next, we substitute t = 0.5 into either of the original equations to find the distance:

Using Joan's equation: d = 14t

So, the distance at which Joan meets Ralph is 7 miles.

Therefore, the correct answer is B. 7 miles.

Final answer:

To find the total amount due after five years on a loan of $523 with a 9% interest rate, first calculate the simple interest ($235.35) and then add it to the principal to get a total of $758.35.

Explanation:

To calculate the total amount you will have at the end of five years after taking out a loan for $523 at an interest rate of 9%, you need to use the formula for calculating the future value with simple interest: Principal + (principal × rate × time). The principal in this case is $523, the rate is 0.09 (9% expressed as a decimal), and the time is 5 years.

First, we calculate the simple interest: Interest = Principal × rate × time = $523 × 0.09 × 5. This gives us the total interest that will be charged over the five years.

Step 2. Calculate the simple interest: $523 × 0.09 × 5 = $235.35.

Step 3. Calculate the total future amount using the formula: Principal + Interest = $523 + $235.35 = $758.35.

Therefore, the total amount that you will have to pay at the end of the five years is $758.35.

Answer:

Option D or 3

Step-by-step explanation:

It says so on edge 2020. I thought it was option c, but it is D. Can anyone tell me whyyyyyy.

The solution is, the scale factor of this dilation is option D. 3.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

Line segments X Y and X prime Y prime.

From the point of dilation, the distance to point Y is 3 and the distance to point X is 2.

The distance from point Y to Y prime is 6, and the distance from X to X prime is 4.

Hence, The solution is, the scale factor of this dilation is option D. 3.

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Answer:

y=-3x+5

Step-by-step explanation:

m= (-10-(-1))/(5-2) = -3

-1 = -3x2 + c

c=5

Answer:

1680

Step-by-step explanation:

For every 1 person, the recipe requires 120 grams

We find that by doing the following

480 / 4 =120 grams

Multiply 120 by 14

120 x 14 = 1680

Answer:

1680g

Step-by-step explanation:

 if  480 g will be for 4 people

how about 14 people?

   480g x 14p= 6720 divide by 4=1680g

    divide by

    4 people

6) X=8

7) X=3

8) X=7

9) X=1.5

10) X=0.9

good luck

Answer:

6.) x = 8

7.) x = 3

8.) x = 7

9.) x = 3/2

10.) x = 9/10

Step-by-step explanation:

refer to the pics. Please rate and thumbs up :)

Answer:

Range: 13 and 15        Mean: 247 and 286

Step-by-step explanation:

Answer:

7x+7

Step-by-step explanation:

1/2(8x+4)+1/3(9-3x)=

(4x+4)+(3-3x)=

4x+7+3x=

7x+7

3x+5

Hope this helps! If you have any questions or need further explanation or clarification then please comment down below or message me! Good luck!

Answer:

See the attachment

Step-by-step explanation:

A unit circle is one whose radius is 1

sin(90) will have coordinates (0,1)

sin(40)= 0.643

sin(40)= P/H= 0.643/1

cos(40)= B/H= 0.766

Similarly for cos(245)= cos(-65)= -0.423/1

                      sin(245)= sin(-65)= -0.906

The question involves applying knowledge of the unit circle and trigonometric identities to find the values of sine and cosine for certain angles as well as using the Law of Sines and Law of Cosines in triangle problems.

The question involves finding trigonometric function values using the unit circle. The unit circle is a circle with a radius of 1 unit, centered at the origin of the coordinate system, and is a fundamental tool in trigonometry. The sine and cosine values for certain angles are as follows:

sin(90°) = 1

cos(180°) = -1

sin(40°) = 0.643

cos(245°) = -0.423

Additionally, trigonometric identities like sin(90° – x) = cos x are useful for finding values of sine and cosine for complementary angles. The Law of Sines and the Law of Cosines can help solve for unknowns in triangles when certain side lengths and angles are known.

Let x represent the number of times Joe should expect the spinner to land on green.

We have been Joe has a spinner. The probability of landing on green is 3/8. Joe spins the spinner 184 times. We are asked to find the number of times Joe should expect the spinner to land on green.

We will use proportions to solve our given problem.

[tex]\frac{\text{Green}}{\text{Total}}=\frac{3}{8}[/tex]

Upon substituting our given values in above equation, we will get:

[tex]\frac{x}{184}=\frac{3}{8}[/tex]

[tex]\frac{x}{184}\cdot 184=\frac{3}{8}\cdot 184[/tex]

[tex]x=3\cdot 23[/tex]

[tex]x=69[/tex]

Therefore, Joe should expect the spinner to land on green 69 times.

Answer:

72cm^2

Step-by-step explanation:

12x6

Answer:

283 cm²

Step-by-step explanation:

r = 3 cm

2 × 3.14 × 3 (3 + 12)

= 2 × 3.14 × 3(15)

= 2 × 3.14 × 45

= 282.6 cm²

= 283 cm²

Answer:

5

Step-by-step explanation:

from the question:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

=5

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Answer:

5

Step-by-step explanation:

Answer:

-2, 6

Hope this helps :)

Answer:

Step-by-step explanation:

The aceleration increases

When the velocity of an object changes it is said to be accelerating. Acceleration is the rate of change of velocity with time. ... Acceleration occurs anytime an object's speed increases or decreases, or it changes direction. Much like velocity, there are two kinds of acceleration: average and instantaneous

Answer:

The acceleration increases.

Answer: Hello!

It's Option D.

Hope I helped! ♡

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edge 2020

Answer:

6

Step-by-step explanation:

Divide 144 by 8. Then divide that answer by 3.

Answer:

c)

Step-by-step explanation:

Because first you do 8x3= 24 and you 144 divided by 24 and you get 6

Answer:

$20.90

Step-by-step explanation:

To find the tip paid, you simply need to find 22% of the amount paid. This can be done by:

95×0.22=  20.90 dollars.

Answer:

$20.90

Step-by-step explanation:

22% of $95 is $20.90

Answer:

5.75 inches

Step-by-step explanation:

The diagonal will always be larger than the height... I think

Hope this helps?

Over (-2, ∞) the graph of function y = | x + 2| is increasing.

Given that,
To determine over what interval the graph of y = |x + 2] increases.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
y = | x + 2|
Since from (∞, -2), the graph is decreasing, but at -2 the graph has zero ordinate and afterward, the graph starts increasing. So, over (-2, ∞) the graph of function y = | x + 2| is increasing.

Thus, over (-2, ∞) the graph of function y = | x + 2| is increasing.

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The solution is 2( 14 + w ) = 54. The width of the frame is 13 inches.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Perimeter of the rectangle = 2(length+width)

Given the parameters are;

Rectangular picture frame has a perimeter of 54 inches. The height of the frame is 14 inches.

Perimeter of the rectangle = 2(length+width)

Perimeter = 2( 14 + w )

2( 14 + w ) = 54

Solving;

28 + 2w = 54

2w = 54 - 28

2w = 26

w = 13

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The width of the frame is 13 inches.

To find the width of a rectangular picture frame when the perimeter is 54 inches and the height is 14 inches, we start by understanding the formula for perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length (or height), and w is the width. In this case, we are given that the perimeter (P) is 54 inches and one dimension (the height/length, l) is 14 inches.

Substitute the known values into the perimeter formula to get 54 = 2(14) + 2w. Simplify the equation by first multiplying 2 by 14, which gives 54 = 28 + 2w. To isolate w, subtract 28 from both sides of the equation: 26 = 2w. Finally, divide both sides by 2 to find the width: w = 13 inches.

The solution is 54 = 2(14) + 2w = 28 + 2w. The width of the frame is 13 inches.

Answer:

B. because an acute is smaller then a right angle which is the opposite of the obtuse angle which is bigger then a right angle.

Step-by-step explanation:

Answer:

the answer is b. hope this helps

Answer:

50

Step-by-step explanation:

A six-sided fair number cube has numbers 1, 2, 3, 4, 5, and 6 on each side.

so, 300/6= 50

For each number it is predicted that it will roll 50 times.

Answer:

Sample Response: A number cube has six sides. The probability of landing on any of the numbers is equal. The theoretical probability of rolling a 6 is 1/6. I expect a 6 to be rolled (1/6)(300), or 50 of 300 times.

Step-by-step explanation:

Answer:

The answer is 1 by 60 4 by 15 and 10 by 6

Step-by-step explanation:

Answer:a,b.d

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

5-2=3

Answer:  18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150x .2= 30

Answer:

$30

Step-by-step explanation

You need to first change the percentage into a decimal and then you multiply by the cost of the product...in this case a camera...and thats the discounts price

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Answer:

180 tiles

Step-by-step explanation:

It's easiest to work with only one unit for length and one unit for area. We will work with inches and square inches, and we will convert feet to inches.

An 8-inch square tile is a tile shaped like a square whose side measures 8 inches.

area of square = side^2

area of 1 tile = (8 in.)^2 = 64 in.^2

One 8-inch, square tile has an area of 64 sq in.

Now we need to find the area of the floor in square inches.

1 ft = 12 in.

We multiply each dimension in ft by 12 to find inches.

10 ft = 10 * 12 in. = 120 in.

8 ft = 8 * 12 in. = 96 in.

Now we find the area of the rectangular floor.

area of rectangle = length * width

area of rectangle = 120 in. * 96 in.

area of rectangle = 11,520 sq in.

The rectangular floor has an area of 11,520 sq in.

Each tile has an area of 64 sq in.

To see how many tiles are needed, we divide the area of the floor by the area of one tile.

number of tiles = (11,520 sq in.)/(64 sq in.) = 180

Answer: 180 tiles