Show each step of your work.

Solve -3x – 2 = 19.

Answer:

-5 7/8 ft (Answer D)

Step-by-step explanation:

Note that 5.875 ft is the same as 5 7/8 ft.

The diver is initially 5 7/8 ft beneath the water surface, so we give that 5 7/8 ft the negative sign:

-5 7/8 ft represents the diver's position in relation to the surface.

The driver's position in relation to the surface before swimming to the top is represented by D. -5 7/8 feet. This is because in this scenario, a negative number signifies underwater depth.

In mathematics, the term 'relation' is often used in the context of functions and refers to the way two sets of numbers are interconnected. In your scenario, a negative number is used to signify the driver's position underwater, while a positive number indicates their position above water. Therefore, if the diver swims 5.875 feet up to the surface, this would mean their original position was -5.875 feet. When expressed in decimal form, this would be -5.9, and when expressed in fractions, it would be -5 7/8 feet. Hence, the correct answer would be D. -5 7/8 feet.

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Answer:

scale factor = 1.2

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.

scale factor = [tex]\frac{14.4}{12}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2

Final answer:

The scale factor used to get from the first rectangle to the second one is 1.2.

Explanation:

The scale factor used to get from the first rectangle to the second one can be found by comparing the dimensions of the two rectangles. The length of the first rectangle is 12 and the length of the second rectangle is 14.4. Dividing the length of the second rectangle by the length of the first rectangle gives us:

Scale factor = length of second rectangle / length of first rectangle = 14.4 / 12 = 1.2

So, the scale factor used to get from the first rectangle to the second one is 1.2.

Answer: ORP and ORN are a linear pair

Answer:

Option A.

Step-by-step explanation:

Statements                                                                       Reason

1). m∠ORP = 80°, m∠ORN = (3x + 10)°                         Given

2). m∠ORP + m∠ORN = 180°                           ∠ORP & ∠ORN are linear pair

80 + (3x + 10) = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = [tex]\frac{90}{3}[/tex]

  = 30°

Hence x = 30° is proved.

Option A. is the answer.

The unit of measure that is more accurate for measuring the height of a door in feet and inches is inches.

The unit of measure that is more accurate for measuring the height of a door in feet and inches would be inches. This is because inches provide a smaller unit of measurement, allowing for more precise measurements. To convert the height of a door from feet and inches to inches, you can multiply the number of feet by 12 and add the number of inches. For example, if a door is 6 feet 2 inches tall, you would multiply 6 by 12 to get 72 inches, and then add 2 inches to get a total height of 74 inches.

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Answer: 11/60

Step-by-step explanation: 7/12 - 2/5 find the common denominator which is 60 so that would be 35/60 - 24/60

Answer:

0.183

Step-by-step explanation:

simply go to desmos.com use their scientific calculator for problems like these

Answer: 9.25

Step-by-step explanation:

Answer:

−9.25

Step-by-step explanation:

Since the fraction is negative, the decimal equivalent is negative, too. Divide 74 by 8. The answer is −9.25.

3x+8+4x=-8(x-6)-8(13x+5)​

Get rid of parenthesis.

3x+8+4x=-8(x-6)-8(13x+5)​

3x+8+4x=-8x+48-104x-40

Comine like terms.

7x+8=-112x+8

Add 112x on both sides and subtract 8 from both sides.

119x=0.

Now since you cannot solve, or will get a 0, the answer is x=0.

Answer:8 ft.

Step-by-step explanation:

Given: right Δ

it's 8 because you know the triangle is a right triangle which means that you can use the Pythagorean Theorem. which would be

x²= 10²- 6²

x²= 100-36

x²=64

x=8

or you can use the Egyptian triangle which is a right triangle that's sides are equal to 3,4,5. This triangle is just double the Egyptian triangle which means everything is times 2. So knowing that and that two sides of this triangle is double two sides of the other triangle, you'll find that the third side is 8, because:

6÷3=2

10÷5=2

so now proving its double you can multiply by four by two since the answer of the previous problems is two

4×2=8

The base of the wall is 8 feet from the bottom of the pole.

Answer:

48

Step-by-step explanation:

Substitute the given values for a and b into the expression

3(2)² + 4(3)²

= 3 × 4 + 4 × 9

= 12 + 36

= 48

Answer:

10

Step-by-step explanation:

p=8

18-p

18-8=10

replace 10 for p

The value of x for the given rectangles is 15.

When two figures in mathematics have the same shape but different sizes, those two figures are referred to as comparable figures. For instance, similar objects are seen in different-sized images of a person, such as a passport size, stamp size, etc., but they are not consistent. Two comparable shapes in geometry are those whose dimensions are equivalent or have a shared ratio but the width or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares.

Given two rectangles are similar,

so the ratio of their lengths is equal, according to similar figure property,

given dimensions of rectangle 1 is  14 and 10

dimensions of rectangle 2 ia 21 and x

so 14/21 = 10/x

x = 21 x 10/14

x = 15

Hence value of x is 15.

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Step-by-step explanation:

Example: (1,4) (2,5) (3,4) triangle

Stretch by 1/3, shift up 4, and left 5

Find the area of the triangle/square/shape.

Multiply by 1/3

Move the answer by 4 spaces up.

Then, to the left.

Final answer:

The domain for Susan's backpack situation is {0, 1, 2, 3, 4}, representing the number of books she can carry, while the range is from 0 to 14 pounds, representing the total weight of the books she might carry.

Explanation:

To find a reasonable domain and range for Susan's backpack situation, we need to consider the lightest and heaviest books she might carry. Since Susan can carry at most 4 books and each book weighs between 1 pound to 3.5 pounds, we can define the possible weights of the books.

For the domain, we consider the number of books Susan could possibly carry. The domain would therefore be: {0, 1, 2, 3, 4}. She could carry no books or up to 4 books.

For the range, we consider the total weight of the backpack based on carrying the lightest to the heaviest books. The minimum weight would be 0 pounds (if she carries no books) and the maximum weight would be 3.5 pounds  imes 4 books = 14 pounds. So the range of weights would be from 0 to 14 pounds. However, we must remember that the weight can also be any reasonable value in between, for instance when carrying books of varying weights.

In conclusion, the domain for the number of books would be {0, 1, 2, 3, 4} and the range for the total weight of the books would be any value between 0 to 14 pounds, inclusive.

To find the cost of a single cinema ticket, multiply the amount each friend paid, £6.15, by 4 to get the total cost for 3 paid tickets. Divide this total, £24.60, by 3 to find that the cost of one ticket is £8.20.

The question pertains to a group of 4 friends who buy cinema tickets using an offer where they buy 3 tickets and get 1 free. Since each friend pays £6.15, we need to determine the actual cost of a single ticket.

Under the offer, they are buying a total of 4 tickets for the price of 3. Therefore, we can calculate the cost of 3 tickets by multiplying £6.15 by 4, which gives us a total of £24.60. To find the cost of a single ticket, we divide the total cost of £24.60 by the number of tickets bought, which is 3.

Here is the calculation step:
Total cost for 4 friends = 4 × £6.15 = £24.60
Cost of a single ticket = [tex]\frac{24.60}{3}[/tex] tickets = £8.20

Therefore, the cost of one ticket without the offer is £8.20.

Answer:

c

Step-by-step explanation:

72

Final answer:

The angle of rotation for rotational symmetry of a regular pentagon is 72°, which is found by dividing the full rotation of 360° by the number of sides (5).

Explanation:

The angle of rotation for rotational symmetry of a regular pentagon is the angle you rotate the pentagon until it looks exactly the same as it did before the rotation. A regular pentagon has five sides that are all of equal length, and the amount of rotation required to bring one vertex to the position of the next is 360° divided by the number of sides. Therefore, the angle of rotation for a regular pentagon is 360°/5, which equals 72°.

Answer: 2/16

Step-by-step explanation:

If we multiply 1/8 time 2/2(which is equal to 1) we get 2/16

Answer:

5/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because a square has equal lengths on a side so finding the area of the square would just be the number on one side multiplied by itself so they decided to call it four squared.

The term 'four squared' refers to the mathematical expression 42, which represents the number four multiplied by itself resulting in 16. It also reflects the area of a square with side lengths of four units, illustrating the foundational concept of squaring numbers in geometry and algebra.

The term 'four squared' refers to the mathematical expression 42, which equals 16. This expression is the result of multiplying the number four by itself. In mathematics, squaring a number represents the area of a square with sides of that specific length. For example, a square with sides of 4 units has an area of 16 square units because the length of one side (4) is multiplied by the width, which is also 4 (since all sides of a square are equal). Hence, four squared (4 x 4) equals 16.

Another representation of this concept comes from geometry and the visualization of physical space. A square with a side length of 2 units, for instance, has an area of 22 or 4 square units because it has four equal divisions, each 1 unit by 1 unit. So when we talk about 'four squared', we're discussing an area that's four times larger than the original 2 x 2 square.

The concept of numbers being squared is foundational to algebra and geometry. The phrase 'four squared' is an embedded term in mathematics that signifies the squaring operation, which is critical for finding areas of squares and also is applied in various mathematical laws and properties, such as the Pythagorean theorem.

Answer:

4

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

1 + 15\1 + 3 = 4

16 4

I am joyous to assist you anytime.

Bob has 1 more marble than Kayla, calculated by subtracting Kayla's marble count from Bob's.

To determine how many more marbles Bob has than Kayla, we can subtract Kayla's number of marbles from Bob's. The calculation is straightforward: [tex]\(6 - 5 = 1\)[/tex]. Therefore, Bob has 1 more marble than Kayla.

In a visual representation of their marbles, Bob has 6 marbles, Malik has 3 marbles, and Kayla has 5 marbles. To find the difference between Bob and Kayla, we subtract Kayla's count from Bob's. The result, 1, indicates the additional marble Bob possesses compared to Kayla.

This is a simple arithmetic operation that reflects the concept of finding the difference between two quantities. In this case, the subtraction represents the surplus marbles that Bob has in comparison to Kayla. The positive result suggests that Bob has an extra marble beyond what Kayla possesses.

In summary, Bob has 1 more marble than Kayla, as determined by subtracting Kayla's marble count from Bob's. This simple arithmetic operation provides a clear understanding of the numerical difference in their marble quantities.

The question probable maybe:

(Given in the attachment)

Answer:

x = -7

Step-by-step explanation:

-6(8 + 7x) = -342

-48 + 42x = -342

42x = -294

x = -294/42

x = -7

Answer is provided in the image attached.

Answer:

Possibly 17 and 22.

Step-by-step explanation:

17 plus 22 equals to 39.

22 is five more than 17.

The two numbers are 17 and 22 whose sum is 39.

A numerical expression is in form of numbers and variables separated by the operation of addition and subtraction.

Given that the sum of two numbers is 39.

Also given that the larger number is 5 more than the smaller number.

Assuming the smaller number to be 'n'.

∴ The larger no. is (x+5).

So, the given statement can be written as,

x + (x+5) = 39.

2x + 5 = 39.

2x = 39 - 5.

2x = 34.

x = 34/2.

x = 17.

So, the larger number is (5+17) = 22.

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Answer:

A=78

B=102

C=78

Step-by-step explanation:

A= a and 102 are on a straight line so they add up to 180. 180-102=78. The same goes for C

B= the vertical angle for 102, or the same thing with a and c, just flipped around

Final answer:

The result of the operation 15 - 12 is 3. The calculation involves simple subtraction where 12 is subtracted from 15. So the correct answer is A) 3.

Explanation:

To perform the indicated operation of 15 - 12, we simply subtract 12 from 15. This is a straightforward arithmetic operation.

Step 1: Identify the numbers involved in the operation. Here, the numbers are 15 and 12.

Step 2: Perform the subtraction. Subtract the smaller number (12) from the larger number (15). 15 - 12 equals 3.

Step 3: Select the correct answer from the options provided. The correct answer is A) 3.

Answer:

Set each factor equal to 0

4x-3 = 0

2x-1 = 0

Solve for x.

4x-3=0

4x=3

x= 3/4

Solve for x. 

2x-1= 0

2x= 1

x= 1/2

Eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

Answer:

its d

Step-by-step explanation:

Answer:72 miles

Step-by-step explanation:

You have to divide 5 by 1 then 360 by 5 and then get 72

Answer:

44

Step-by-step explanation:

Answer:

the answer is 44

Step-by-step explanation:

Answer:

is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case

Step-by-step explanation:

Answer:

If |r| >= 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN <= (N.. ) f(x) dx.

Step-by-step explanation:

Answer: -767.25<-556.75

Explanation: Ryan has less money than tim therefore making him owe the bank more

Answer:

Answer is B. Hope this helps

Step-by-step explanation:

Answer:

[tex]\large\boxed{x=\dfrac{2}{5}=0.4}[/tex]

Step-by-step explanation:

[tex]x:6=10:150\\\\\dfrac{x}{6}=\dfrac{10}{150}\qquad\text{cross multiply}\\\\150x=(6)(10)\\\\150x=60\qquad\text{divide both sides by 150}\\\\\dfrac{150x}{150}=\dfrac{60}{150}\\\\x=\dfrac{60\!\!\!\!\diagup}{150\!\!\!\!\diagup}\\\\x=\dfrac{6:3}{15:3}\\\\x=\dfrac{2}{5}=0.4[/tex]