What is the cost of 10.2 gallons of gas at $2.249 per gallon?

The distance between the opposite sides of the trampoline can be found to be 14. 42 yards

To find the distance between the opposite sides of the trampoline, we are essentially finding the diagonal length. We can use the Pythagorean theorem to do this by dividing the trampoline into two right triangles.

The distance between the opposite sides would then be:

c ² = a ² + b ²

c ² = 8 ² + 12 ²

c ² = 64 + 144

c ² = 208

c = √ 208

c = 14. 42 yards

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Answer:

AB = CD

BC = DA

Step-by-step explanation:

Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.

Answer:

AB = 14

Step-by-step explanation:

Lines AB and CD are opposite each other and as the shape is a parallelogram, they are of equal length:

AB = CD

2x + 8 = 5x - 1

Add 1 to both sides to isolate the 5x:

2x + 8 + 1 = 5x - 1 + 1

2x + 9 = 5x

Subtract 2x from both sides to isolate the 9:

2x + 9 - 2x = 5x - 2x

9 = 3x

Divide both sides by 3:

9 ÷ 3 = 3x ÷ 3

x = 3

As AB = 2x + 8, plug the known variable x in:

2x + 8

2(3) + 8

6 + 8

= 14

Hope this helps!

Answer: x= 7191.509 ft

Step-by-step explanation:

Sin9/1 = 1125/x

X/1 = 1125/sin9

Answ1/6

Step-by-step explanation:

1/3 divided by 2

we can change the division sign into multiplication by flipping it and this will also inverse 2

so now we will have

1/3 x 1/2

=1/6

Answer:

15.5884572681

Step-by-step explanation:

Answer:

Three times a number, when subtracted from the square of that number gives four.

Step-by-step explanation:

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The Answer is Positive Integers (B)

The number of Chromebooks = x

The total cost of purchasing Chromebooks = c(x)

where x is the domain of c(x)

The number of Chromebooks x can be: {0, 1, 2, 3, 4, 5, 6...}. You cannot have numbers like {0.2, 0.5, 3.8 ...} or any other decimal neither can you have surds like:

Integers contain numbers like: {... , -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...}

Positive Integer contains numbers like: {1, 2, 3, 4, 5, ...}

Rational Numbers contain numbers like: {-0.2, -0.1, -0.05, -0.005,0.2, 0.1, 0.05, 0.005,...} and also contain numbers like {... , -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...} as in Integers.

Positive rational Numbers are just the positive values of Rational Numbers like: {1, 2, 3, 4, 5, ...} and {0.2, 0.1, 0.05, 0.005,...}

From the information laid out, it is obvious that the only set of values that qualify to be called the domain of c(x) is Positive Integers

The Answer is Positive Integers (B)

Answer:

Easy -2x

Step-by-step explanation:Because both a positive y and a negative y cancle out eachother so all thats left is both of the negative x's

Answer:

answer = 1/4 < 7/25

Step-by-step explanation:

the theoretical probability is that because the spinner has 4 equal sized sections, it should land on each 25 times, 25/100 is 1/4  

28/100 is the experimental probability of landing on H, so that can be simplified to 7/25 as both numbers can be divisible by 4.

Hope this helps:)

Answer:

32cm

Step-by-step explanation:

Perimeter of the shaded shape is the sum of all the sides

To unknown side = 4cm + 6cm = 10cm

Perimeter of the figure = 3cm + 4cm + 6cm + 9cm + 10cm

Perimeter of the figure = 32cm

Hence the Perimeter of the figure is 32cm

4cm

9cm

6cm

The diagram is not drawn to scale.

__cm​

Answer:

60 adults and 90 students.

Step-by-step explanation:

90x4= 360

60x6= 360

360+360=720

Answer:

y = 1/2x + 3

O f(x)= 1/2x+3

Step-by-step explanation:

f(x) = 2x - 6

y = 2x - 6

x = 2y - 6

2y = x + 6

y = (x + 6)/2

y = 1/2x + 3

Answer:

5

Step-by-step explanation:

1+6+4+4+6+4+1= 35

35 divided by the total amount of numbers(7)

35/7=5

The value of millimeter in inches can be calculated by simply dividing the millimeter by 25.4 so 125 mm is 4.921 inches.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Converting from millimetres to inches

Between millimetres (mm) and inches (in)

Calculation of Inches (dec) in Inches (frac) in Feet plus Inches ft mm to inches

* The value is rounded to the nearest 1/64 fraction for the inches fraction.

How to change metric units to inches

Inches are equal to 0.03937007874 millimetres in length:

1mm = (1/25.4)″ = 0.03937007874″

The distance d in millimetres (mm) divided by 25.4 gives the distance d in inches (′′):

d(″) = d(mm) / 25.4

Example of 20 mm converted to inches:

d(″) = 125mm / 25.4 = 4.92126″

How many millimetres are in one inch

0.03937 inches are equal to one millimetre:

1mm is equal to 1mm / 25.4mm/in = 0.03937in.

What is the millimetre to inch conversion

25.4 millimetres make up one inch.

1 inch Equals 25.4 millimetres per inch.

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Answer:

7.37%

Step-by-step explanation:

9/20 x 8/19 x 7/18 = 7/95 (simplified) which is 7.37%

Answer:

2) x/ 2y^2

Explanation:

1) reduce the fraction:

27x^3 -----> x^3

216y^6----> 8y^6

2) evaluate the cube root

x

------

2y^2

Answer:

x/2y²

Step-by-step explanation:

What is the cube root of 27?

3. because 3x3x3 = 27.

What is the cube root of 216?

6. because 6x6x6 = 216.

For the 3 on the right side, since it's a power or an exponent, we just divide by 3. Same thing for the 6 in the right.

Now, we have 3x/6y².

We need to simplify.

The GCF of 3 and 6 is 3, because 3 is the highest number that can be divided by both 3 and 6 while the results are whole numbers.

3/3 = 1

6/3 = 2

x/2y² is the answer.

To steps to construct a line segment that is 1/2 the length of the given segment is:

Draw a line segment CD of any length.

Fix the compass's end on C and pencil on D. This gives the length of CD.

Now divide the length of CD by 2. That is the 1/2 the length of CD.

Draw a line 1. Mark a point A on line 1. Change compass's setting into 1/3 the length of CD, place the compass at A.

Make an arc on the line l which cuts l at B. Now, AB is a copy of CD which is 1/2 the length of CD.

What is line segment?

A line segment is bounded by two definite points on a line. We also can say a line segment is part of the line which connects two points. A line has no endpoints and extends immensely in both the direction but a line segment has two fixed or distinct endpoints.

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Answer:

Mistake is on second line.

x = 2

Step-by-step explanation:

The first two lines are (I added the boldface):

3x - 5 + 3x = x + 8 - x - 1

6x – 5 = 2x + 7

The first line has x and -x. They add to 0.

The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.

The second line should be:

6x - 5 = 7

Add 5 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Answer:

135°

Step-by-step explanation:

here's your solution

=> we know that , sum of all angles is

equal to 180°

=> hence ,we have two angles

=> 1st angle = 45°

=> 2nd angle = 9x + 18

=>. adding both angle

=> 45° + 9x + 18° = 180°

=> 63° + 9x = 180°

=> 9x = 180° - 63

=> 9x = 117°

=>. x = 117/9

=> x = 13°

=>. hence, the required angle = (13*7) + 18°

=> angle = 135°

hope it helps

Answer: 4.699 ounces (72.85 %)

Step-by-step explanation: Total Quantity in bottle = 6.45

 Total quantity = quantity of fruit juice + quantity of not fruit juice.

  ATQ.

  6.45 = 1.751 + quantity of not fruit juice

quantity of not fruit juice = 4.699 ounces

in percentage it will be 4.699/6.45 × 100 = 72.85%

Answer:

pentagons have five sides

Step-by-step explanation:

We want to find out why the statement disprove the conjecture

What the conjecture assumes is that for all polygons with more than 3 sides, all polygons here having their names ending in ‘gons’ have an even number of sides

The term pentagon refers to a 5-sided polygon

This polygon thus have more than 3 sides. Since 5 is not an even number, then we can conclude that the conjecture has been disproven

Answer:

{-1, 0, 1, 3}

Step-by-step explanation:

A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.

A term denotes a mathematical object while a formula denotes a mathematical fact

A binomial is a polynomial that is the sum of two terms, each of which is a monomial.

A variable is a symbol and placeholder for any mathematical object.

A single mathematical expression is referred to as a term. It could be a single number (positive or negative), a single variable (a letter), or a combination of variables multiplied but never added or subtracted. Variables with a number in front of them are used in some terms. A coefficient is the number that appears in front of a term.

A variable in mathematics is a symbol and placeholder for any mathematical object. A variable could also specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.

A binomial is a polynomial in algebra that is the sum of two terms, each of which is a monomial. After monomials, it is the most basic type of sparse polynomial.

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A scatterplot that shows the number of hours studied on the x-axis and the number of errors on the y-axis would best support the teacher's observation.

Error in math is an incorrect answer to a mathematical equation or problem. It can be caused by a variety of factors, such as inaccurate calculations, misreading instructions, or not understanding the problem. Error in math can be frustrating and can lead to poor grades, but it can also be an opportunity for learning and growth. With the proper guidance and understanding, students can learn from their mistakes and become better mathematicians.

The scatterplot would likely show a negative correlation, with the number of errors decreasing as the number of hours studied increases. This indicates that as students study more, their performance on multiplication tests improves. It could also show an outlier or two, which could indicate that some students are able to learn multiplication facts more quickly than others.

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Answer: x = 4, y = 6

Step-by-step explanation:

2x = y + 2 (1)

-x + 3y = 14 (2)

From (2):

x - 3y = -14

x = 3y - 14

Plug it into (1):

2(3y - 14) = y + 2

6y - 28 = y + 2

5y = 30

y = 6

Plug it back in again:

x = 3(6) - 14

x = 18 - 14

x = 4

The height of the yield sign is 15.5 inches.

The total amount of space allotted to a triangle's three sides in a two-dimensional plane is known as the area of a triangle. The fundamental formula for a triangle's area is A = \(\frac{1}{2}*b*h\), which states that the area of a triangle is equal to half the product of its base and height.

To find the height of the yield sign, we need to use the following formula, which is:

area= length*height

The result of substituting in the data we are aware of is:

558=36*h

h= \(\frac{558}{36}\)

h= 15.5

Therefore the height of a standard yield sign when the area is 558 square inches and each side is 36 inches is 15.5 inches.

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Answer:

$52

Step-by-step explanation:

Given data

Price of blender= $65

Coupon = 20%

Let us find the amount of the coupon

=20/100*65

=0.2*65

=$13

Hence the amount of the coupon is $13

The total price Nathan pays is

=65-13

=$52

In a perfect square trinomial, two of your terms will be perfect squares. If you do not have two perfect square terms, then this trinomial is not a perfect square trinomial.

The general shape of a really perfect rectangular trinomial is (x + y)^2, in which x and y are the roots of the trinomial. to check if a trinomial is perfectly rectangular, we will try to the component it into the rectangular binomial. We also can whole the square technique, which involves adding and subtracting the rectangular of 1/2 of the x-coefficient of the linear time period after which grouping the resulting phrases.

It's far essential to note that for a trinomial to be a super rectangular trinomial, the regular time period has to be a square of an integer and the linear time period should be an excellent variety.

Perfect rectangular trinomials are used in fixing quadratic equations and expertise their solutions, they also have programs in algebra, geometry, and trigonometry. Factoring them is an essential talent in algebra and is utilized in solving exceptional types of mathematical troubles.

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