The first term of an arithmetic sequence is -3 and the fifteenth term is 53 what is the common difference of the sequence

6(3x - 5) = 4(4x + 2)    Given

(6)(3x) + (6)(-5) = (4)(4x) + (4)(2)    Distributive property

18x - 30 = 16x + 8

18x - 16x - 30 = 16x - 16x + 8     Subtraction property of equality

2x - 30 = 8

2x - 30 + 30 = 8 + 30     Addition property of equality

2x = 38

2x : 2 = 38 : 2     Division property of equality

x = 19

3 times 0.78 = 2.34 dollars

5.00 - 2.34 = 2.66

So your change is $2.66

y=3x-7 that's the answer

The equation of a line that is parallel to y=3x−2 and passes through the point (5,8) is y = 3x - 7, since parallel lines share the same slope and the y-intercept was calculated using the given point.

To write the equation of a line that is parallel to a given line and passing through a certain point, you need to know that parallel lines have the same slope. The line y=3x−2 has a slope of 3. So the line parallel to it will also have a slope of 3.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since we already have the slope, we only need to find the y-intercept, b. We do this by plugging the given point coordinates (5, 8) into the equation and solving for b:

8 = 3*5 + b, which gives b = 8 - 15 = -7.

Therefore, the equation of the line parallel to y=3x−2 and passing through the point (5,8) is y = 3x - 7.

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x is equal to 27.

In order to find the value of x, you have to use the average formula and solve for the missing variable. The mean formula is all of the numbers added together divided by the number of inputs.

(inputs added)/(number of inputs) = Average

(2 + 7 + x)/3 = 12 ----> Multiply by 3

9 + x = 36 ----> Subtract 9

x = 27

To find the value of x when the average of 2, 7, and x is 12, you set up and solve the equation (2 + 7 + x) / 3 = 12. After simplifying, you will find that x equals 27.

The question asks us to find the value of x when the average (arithmetic mean) of the numbers 2, 7, and x is 12. To find the value of x, we use the formula for the arithmetic mean, which for three numbers is (number1 + number2 + number3) / 3 = average. So, we set up the equation: (2 + 7 + x) / 3 = 12.

First, we multiply both sides of the equation by 3 to eliminate the fraction:
2 + 7 + x = 36. Next, we add the known values on the left side: 9 + x = 36. Finally, to find x, we subtract 9 from both sides of the equation: x = 36 - 9, which simplifies to x = 27. Therefore, the value of x is 27.

Jonathan is 5 years older than his brother Chase.

Chase's Age = c

Jonathan's Age = c+5

Three times Jonathan's age would be 3(c+5).

The sum of Chase's age, c, and three times Jonathan's age, 3(c+5), is 55.

c+3(c+5)=55

The answer is B.

First take note that Mr. Day gave them $24 to share and Mrs. Day gave each of them $2. There were also four girls in total.

So we'll divide 24 by 4 resulting each girl getting $6 each from Mr. Day.

Now we'll add the $2 Mrs. Day gave them resulting in the answer.

Each girl made $8 from Mr. and Mrs. Day

Each girl made eight dollars

Answer:

17.83

Step-by-step explanation:

d = r*t

d = 41 miles

t = 2.3 hours

r = ??

d = rt            Substitute

41 = r * 2.3   Divide by 2.3

41 / 2.3 = r   Switch sides

r = 41/2.3

r = 17.83 mph  Answer

he plasma membrane is phospholipid bilayer. The layers are two and are continuous flat sheets. They have proteins and cholesterol embedded in them, for facilitating the transport of compounds and maintanng fluidity. The lipid bilayer is both hydrophobic and hydrophillic.

The function increases by by 2 because of yo ylook at it 2+2=4 and well backwards 4-2=2 so the answer is 2. Hope hat made a lot of sense and that it helped you a lot with your problem and answer

700 more men then women

4 of every man theres at least 1 women  which comes out as 4:1

if you're solving for x it's -30

steps: x/-3+20=30

first subtract 20 from both sides then you'll have

x/-3=10 then multiply both sides with -3

you should have x by itself and -30 on the other side

answer x=-30

if you're solving for x it's -30

steps: x/-3+20=30

first subtract 20 from both sides then you'll have

x/-3=10 then multiply both sides with -3

you should have x by itself and -30 on the other side

answer x=-30

Conversion Factors.

1 cup = 8 fluid ounces.

4 cups = 1 quart

4 quarts = 1 gallon

Solution

Use a method call unit fractions. It is simple to use. All you do is arrange the fraction so that 1 part of the unit fraction on the right cancels with 1 part of the fraction on its left. Then divide the numerator by the denominator when each has been multiplied. All this will become clearer if you follow the example below.

[tex]\text{5 gallons} * \dfrac{4 quarts}{1 gal}*\dfrac{4 cups}{1 quart}*\dfrac{8 oz}{1 cup}*\dfrac{1 glass}{4oz}[/tex]

numerator: 5 * 4 * 4 * 8 * 1 = 640

denominator: 1 * 1 * 1 * 1 * 4 = 4

Answer: numerator/ denominator = 640/4 = 160 glasses / 5 gallons.

Answer:

Angle total (180°) = 15° + other 2 angles

165° = other 2 angles

EACH of the other 2 angles = 165/2 = 82.5°

Step-by-step explanation:

The proposed definition of a regular polygon as having all angles of the same measure is incomplete because it omits the criterion of all sides being equilateral. Hence, some irregular polygons could fit this definition, making it not entirely valid.

The definition of a regular polygon as “a polygon with all angles the same measure” is not completely valid.

A more precise definition of a regular polygon is a polygon that is both equiangular (all angles have the same measure) and equilateral (all sides have the same length).

While all regular polygons have angles of equal measure, the definition provided is incomplete as it does not include the requirement that all sides must also be of the same length.

For example, consider an isosceles triangle (a triangle with two sides of equal length).

This triangle has two angles of the same measure and one that is different. B

ased on the provided definition, one might incorrectly classify this as a regular polygon, even though it is not.

Thus, the correct answer is C. No, because some polygons that are irregular fit this definition.

Final answer:

The definition for a regular polygon as 'a polygon with all angles the same measure' is not fully accurate because it omits the requirement for all sides to be of equal length.

The correct answer to the question is C. No, because some polygons that are irregular fit this definition.

Explanation:

The definition of a regular polygon that states it is “a polygon with all angles the same measure” is not entirely valid. While it's true that a regular polygon does have equal angles, the definition is incomplete without the inclusion of another important characteristic: all sides must be of equal length.

Therefore, the correct answer to the question is C. No, because some polygons that are irregular fit this definition.

An irregular polygon can also have equal angles but different side lengths, so the definition given would incorrectly include some irregular polygons.

When thinking about a regular polygon, it's essential to consider both equal angles and equal side lengths, just as when thinking about a triangle, it includes a three-sided figure lying on a plane with three angles adding up to 180 degrees.

a+b = 65

b - 2a = 5

Solve one variable in terms of another:

b = 5 + 2a

Substitute in this variable:

a + 5 + 2a = 65

3a = 70

a = 23.3

Use this to find the other variable:

23.3 + b = 65

b = 41.7

Check the answer:

23.3 + 41.7 = 65

65 = 65

ANSWERS:

a = 23.3

b = 41.7

Answer:

1. QS bisects ∠ PQR of Δ PQR.⇒[Given]

2. ∠PQS = 90° [Given]

3.∠PQS =∠RQS ⇒[QS bisects ∠ PQR]

4. .∠PQS +∠RQS =90°  [∴∠PQS = 90°⇒given]

    2∠PQS =90°⇒  [∠PQS =∠RQS ]

   ∠PQS=45°

So,∠PQS =∠RQS =45°

2.∠ 2= ∠ 4 [Given]

⇒∠ 2≅ ∠ 4[ congruency postulate]

∠2  and ∠ 3 are supplementary.⇒°[given]

⇒∠2 + ∠ 3=180° [ By the definition of supplementary].........(1)

∠1 and ∠4 are supplementary.⇒[∠1 and ∠4 form linear pair.]

⇒∠1 +∠4=180°[By the definition of supplementary]..............(2)

⇒∠2 + ∠ 3 =∠1 +∠4 [both of them are equal to 180, so they are equal to each other.⇒ Two things equal to same thing are equal to each other[Euclid postulate]]

⇒∠4 +∠3=∠1+∠4 [∠2=∠4⇒(given)]

⇒∠3=∠1   [law of cancellation]

⇒∠3≅∠1  [ Congruency property]

Multiplying numerators and denominators to get the LCD in all fraction denominators

= 38−21×24×2

Then rewriting the equation with the equivalent fractions

= 38−428

With like denominators we can operate on just the numerators

= 3−4 2/8

=−39/ 8

Simplifying the answer

= − 39/8

= − 39/8

= − 4 7/8

Answer:

There are 5000 cattle

Step-by-step explanation:

Based on your given information there should be 5000 cattleN=100×50

The simplified expression is 22m + 42, and the number of cattle on the Lazy Circle Double Bar for Square Ranch depends on the value of m that represents the relevant metric for cattle population.

To simplify the expression 7(2m + 6) + 8m, we first distribute the 7 across the terms inside the parentheses:

7(2m + 6) = 7 * 2m + 7 * 6 = 14m + 42

Then, we combine like terms by adding the 14m and 8m:

14m + 8m = 22m

Now, we substitute this result back into the original expression:

7(2m + 6) + 8m = 14m + 42 + 8m = 22m + 42

So, the simplified expression is 22m + 42.

To find the number of cattle on the Lazy Circle Double Bar for Square Ranch, we need to know the value of m, which represents the number of cattle per unit area or another relevant metric. Once we know the value of m, we can substitute it into the simplified expression 22m + 42 to find the total number of cattle.

For instance, if m = 100, then the expression becomes 22(100) + 42 = 2200 + 42 = 2242 cattle on the ranch.

In summary, the simplified expression is 22m + 42, and the number of cattle on the Lazy Circle Double Bar for Square Ranch depends on the value of m that represents the relevant metric for cattle population.

The question probable may be:

How many cattle are there on the lazy circle double bar for square ranch. Simplify  expression below and find your answer in the corresponding answer column.

7(2m +6) + 8m

The area cannot be calculated without knowing the shape of the object these measurements belong to or how these measurements are arranged. Different shapes require different calculations for area.

The question is asking for the area of an object given certain dimensions, but without knowing what type of object these measurements belong to or how these measurements are arranged, it's impossible to accurately calculate an area. Area calculation differs based on the shape of the object. For instance, the area of a square or rectangle is calculated by multiplying its length by its width, the area of a circle is calculated using pi times the radius squared, and the area of a triangle is calculated by multiplying the base by the height and then dividing by two. Each of these calculations uses different dimensions in different ways. We would need more information to solve this problem.

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The area of the object will be 63 square inches. Then the correct option is C.

It addresses the various forms' sizes, shapes, regions, and densities in both two and three dimensions.

In the event that w = 7 inches, x = 6 inches, y = 8 inches, z = 5 inches, and u = 3 inches, v = 4 inches.

The figure displays all of the dimensions.

The combination of two rectangles and one triangle then makes up the geometry's area.

Area is equal to the sum of the areas of the three triangles, the rectangles 1 and 2.

Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2

Area is 40 + 20 + 3.

Area = 63 square inches

Then, choice C is the right one.

Complete question:

If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object?

A.60 square inches

B.66 square inches

C.63 square inches

D.56 square inches

Multiply.

Exact Form: [tex]\frac{12}{7}[/tex]

Decimal Form: 1.714285...(the decimal digits repeat)

Mixed Number Form: 1[tex]\frac{5}{7}[/tex]

(7(5)+4)/(1/2)=39/.5=78

Given points (5,102) (4,74) and (-2,-10)

We frame 3 equations using the given points

[tex]y=ax^2+bx+c[/tex]

Plug in (5,102)

[tex]102=a(5)^2+b(5)+c[/tex]

102 = 25a +5b + c -------> first equation

Plug in (4,74)

[tex]74=a(4)^2+b(4)+c[/tex]

74 = 16a +4b + c----> second equation

Plug in  (-2,-10)

[tex]-10=a(-2)^2+b(-2)+c[/tex]

-10 = 4a -2b + c -----> third equation

Now we use the three equation and solve for a,b,c

Use first and second equation and subtract it

102 = 25a +5b + c

-74 = -16a -4b - c

----------------------------------

28 = 9a + b  --------------> fourth equation

Subtract third equation from first equation

102 = 25a +5b + c

10  = -4a +2b - c

----------------------------------

112 = 21a + 7b --------------> fifth equation

Use fourth and fifth equation

28 = 9a + b

112 = 21a + 7b

Multiply the fourth equation by -7

-196= -63a -7b

112 = 21a + 7b

-----------------------

-84 = -42a

Divide by -42 on both sides

a= 2

Plug in the value of a=2 in fourth equation

28 = 9a + b

28 = 9(2) + b

28 = 18 + b ( subtract 18 from both sides)

b = 10

Plug in the values in third equation and find out c

-10 = 4a -2b + c

-10= 4(2) -2(10)+c

-10 = -12 + c

c= 2

We got a=2, b=10  and c=2

So equation becomes [tex]y=2x^2+10x+2[/tex]

Answer,

77/72 or 1 5/72

Hope this helps :-)

4/9

+

5/8

=

(4 × 8) + (5 × 9)/9 × 8

=

77/72

OR 1   5/72

The answer your looking for is.... 1

ensure all fractions have the same denominator

we require - [tex]\frac{1}{4}[/tex] = - [tex]\frac{4}{16}[/tex]

thus - [tex]\frac{7}{16}[/tex] - [tex]\frac{4}{16}[/tex] - [tex]\frac{5}{16}[/tex]

take out a common factor [tex]\frac{1}{16}[/tex]

= [tex]\frac{1}{16}[/tex] (- 7 - 4 - 5 )

= [tex]\frac{1}{16}[/tex] × - 16 = - 1