what’s the code for this puzzle?

So Katya needs 21.42 gallons of gas for 600 miles.

A Linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given we have Katya have to take a trip for 600 miles.

Let x be number of gallons of gas y be number of miles driven by Katya

We have an relation from table that 28X = Y and Y we have from table 600

So 28X = 600 and [tex]X = \frac{600}{28}[/tex]

X= 21.42 gallons .

Therefore Katya needs 21.42 gallons of gas for 600 miles.

Learn more about linear equation brainly.com/question/11897796

SPJ4

When Point Q is on line segment PR, if PQ=x,QR=6, and PR =2x-10, then the length of PR is 18 units

Given,

That point Q is on line segment PR

The length of PQ = x

The length of QR = 6

The length of PR = 2x-10

We know,

Point Q is on line segment PR

So, the length of the PR = Length of PQ + Length of QR

Substitute the values in the equation

2x-10 = x+6

2x-x=6+10

x=14

Substitute the value of x in the equation of the length of line PR

PR= 2x-10

=2×14-10

=28-10

=18 units

Hence, when Point Q is on line segment PR, if PQ=x,QR=6, and PR =2x-10, then the length of PR is 18 units

Learn more about length here

brainly.com/question/17281779

#SPJ1

Answer: PLSSSS HELP MEEEE

Step-by-step explanation:

The closest approximation of (√2 + √5)² is 13.

If you want to round to one or two decimal places, look at the digit immediately after the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the next digit is 5 or higher.

According to the question, we are Given,

(√2 + √5)²

⇒ 2 + 5 + 2(√2)(√5)                                      (using (a+b)² = a² + b² + 2ab)

⇒ 7 + 2√10

⇒ 7 + 2 × 3.16

⇒ 7 + 6.3

⇒13.3

So, our answer is closest to 13.

To learn more about approximations from given link

https://brainly.com/question/2254269

#SPJ4

According to the given statement the a wire rope sling with a strength of 10,000 pounds and a total working load of 2,000 pounds has a design factor of 5.

Dividing the ultimate (or maximum) stress by both the normal (or working) stress yields a relatively simple equation to determine FoS. A structure but rather component with an FoS of 1 will fail precisely when it meets the design load and is unable to support any extra load.

A wire rope sling, for example, with such a strength exceeding 10,000 pounds (4,545 kilograms) and a total process load of 2,000 pounds (909 kilograms), has a design factor (multiplier) of 5. Currently available wire rope slings have a design factor of 5.

In order to take into account uncertainty regarding the load, the structural qualities, or both, a design factor1 is a tolerance added to a load and structural strength. Design considerations have typically been applied to the size of the load while designing oilfield casing.

To know more about factor  visit:

https://brainly.com/question/28187946

#SPJ4

Answer:

A. 6(7 +12)

You need to add the numbers in the parenthisis. Then, multiply 6 with the number.

Answer:

See below

Step-by-step explanation:

[tex](5^{4})^{2}[/tex]

[tex]5^{3}[/tex] [tex]5^{5}[/tex]

[tex]5^{1}[/tex] [tex]5^{0}[/tex] [tex]5^{7}[/tex][tex]5^{8}[/tex]

Step-by-step explanation:

A bank offered a money market account with an APY of 3.227%.

A) If interest is compounded monthly, what is the equivalent annual nominal rate?

B) If you wish to have $10,000 in this account after 6 years, what equal deposit should

you make each month?

6x-5y=30. Answer Hope it helps

$23.2

First Multiply 2.12 by ten to get 21.2, and then we multiply 0.20 by ten to get 2 and then we add both to get 23.2

Answer:

10/3 ( width)

Step-by-step explanation:

the length of a rectangle is twice the width if the perimeter is 20 cm find the width

we can solve with an equation

(2x + x) * 2 = 20

3x * 2 = 20

6x = 20

x = 20 : 6

x = 10/3 ( width)

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

check                      Remember PEMDAS

(10/3 * 2 + 10/3) * 2 = 20

(20/3 + 10/3) * 2 = 20

30/3 * 2 = 20

60/3 = 20

20 = 20

the answer is good

The method of factoring

x^(-1/2) (x + 5)(x + 2)

[tex]10x^{-1/2} + 7x^{1/2} + x^{3/2} = x^{-1/2} (10 + 7x + x^{2} )\\ = x^{-1/2} (x + 5)(x + 2)[/tex]

The method of factoring is critical to the simplification of many algebraic expressions and is a useful device in fixing higher diploma equations. In truth, the process of factoring is so crucial that little or no of algebra beyond this point can be done without information it.

In earlier chapters the difference among phrases and factors has been stressed. You should take into account that phrases are introduced or subtracted and elements are expanded. 3 important definitions follow.

terms arise in an indicated sum or difference. elements arise in an indicated product.

An expression is in factored shape only if the entire expression is an indicated product.

To learn more about factor the expression visit: https://brainly.com/question/20293447

#SPJ4

The mid point of equation is [tex]m^{2} - 100 = -99[/tex].

The Midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

We have been given that two numbers are 10 units away in different directions from their midpoint, m, on a number line.

The two numbers that are 10 units away indifferent directions would be (m - 10) and(m+10).

The product of both number would be(m -10)(m + 10) .

Since the product of both numbers is -99, so we can represent this information in an equations (m -10)(m + 10) = -99.

Let us simplify our equation using difference of squares[tex](a + b)(a - b) =a^{2} - b^{2}[/tex]

as: [tex]m^{2} - 10^2= -99[/tex]

[tex]m^{2} - 100 = -99[/tex]

Learn more about midpoint equation here: brainly.com/question/13784987

SPJ4

Answer: (x–2) and (10x+7)

Step-by-step explanation:

10x^2 – 13x – 14=

10x^2 – 20x + 7x – 14=

10x(x–2) + 7(x–2)=(x–2)(10x+7) ==> 3rd option

The number is 5, the equation used is [tex]x^{2}[/tex] - x - 20 = 0

Let x be the number which is between 1 to 10.

From the question we get to know the equation:

(x-3)(x +2) = 14

x(x+2) -3(x+2) =14

[tex]x^{2}[/tex] +2x -3x - 6 =14

[tex]x^{2}[/tex] - x - 6 =14

[tex]x^{2}[/tex] - x - 20 = 0

This is the equation used to solve for Kevin's number.

Now we have to find the value of x.

[tex]x^{2}[/tex] - 5x + 4x -20=0

x(x-5) + 4(x-5) = 0

(x-5)(x+4) = 0

x = 5, -4

Hence we get two values of x which is 5, -4. But we have to find the number between 1 and 10.

Hence from the value of 5 and -4 , the number is 5 which is between 1 and 10 as -4 is not in the range of 1 to 10.

To know more about the linear equation refer to the link given below:

https://brainly.com/question/24085666

#SPJ4

The complete question is:

a number from 1 to 10. the product of 3 less than this number and 2 more than this number is equal to 14. which equation could be used to solve for kevin's number, x?

a) [tex]x^{2}[/tex]- x - 6 =0

b) [tex]x^{2}[/tex] - x - 20 = 0

c) [tex]x^{2}[/tex]- 6x + 14 =0

d) [tex]x^{2}[/tex] - x + 8 = 0

Answer:

-21x-13

Step-by-step explanation:

That is all you need

Answer:

no

Step-by-step explanation:

i don't think he is correct because it's asking whats the difference between the two

After you depart jblm you will be the closest to mt. rainier after 4 minutes 35.5 seconds

The distance from JBLM to Mt. Rainier is found using the Pythagorean theorem:

 d = √((56 km)² +(40 km)²) = 8√74 km

The bearing from JBLM to Mt. Rainier is ...

 arctan(40/56) ≈ 35.538°  . . . . .  south of east

The heading of the airplane to its destination is ...

 arctan(289/218) ≈ 8.393°  . . . . .  south of east

Then the difference between these angles is ...

8.393° - 35.538° ≈ -27.145°

and the distance to the point of closest approach is ...

 8√74×cos(-27.145°) ≈ 61.238 . . . . km

The relation between time, speed, and distance is ...

 time = distance / speed

Then the time from JBLM to the point of closest approach is ...

 time = (61.238 km)/(800 km/h) ≈ 0.07654819 h ≈ 4.5928 minutes

≈ 4 minutes 35.5 seconds

To learn more about this, visit: https://brainly.com/question/27957291

#SPJ4

Answer:

t=12.5

Step-by-step explanation:

First of you're going to combine liked terms, (5t+3t) to get 8t. You want to get t isolated so you're going to divide it by 8 to get t by itself, you are also going to do 100 divided by 8 because to remain equal you have to do the math on both sides.

The function of g whose graph represents the indicated transformation is g(x) = -|2x| - 1

The function is given as

f(x) = -|8x| - 4

The transformation is given as

A vertical shrink by 1/4

This is represented as

g(x) = 1/4f(x)

So, we have

g(x) = 1/4 * (-|8x| - 4)

Evaluate

g(x) = -|2x| - 1

Hence, the function of g whose graph represents the indicated transformation is g(x) = -|2x| - 1

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Answer:

7

Step-by-step explanation:

f(x)=4x-5

f(3)=4(3)-5

f(3)=12-5=7

The area of the cover require by Justina to cover the pool is 314 ft²

What is the Area of a circle ?

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

Given,

Diameter, d = 20 ft

radius, r = d/2 = 20/2 = 10 ft

Area of a circle = [tex]\pi[/tex]*r² = 3.14*10*10

= 314 ft²

Therefore, The area of the cover require by Justina to cover the pool is 314 ft².

Read more about Area of a circle at :

https://brainly.com/question/28642423

#SPJ1

Answer:

Lydia is preparing financial statements for her company. Who would be interested in the information provided in these financial statements? Financial statements are of prime importance to Investors  who will use the information to buy or sell stocks of the company. These statements are also inspected by an auditor to look into any irregularities or fraud in the book of accounts.

Step-by-step explanation:

Investors

Investors are individuals or firms who offer capital to a business in exchange for a share in ownership and profits. They are external users of financial statements. Investors use financial statements to know what returns to expect from their investments. Existing and potential investors rely on financial reports to decide on whether to buy or sell their shares.

Auditor

An auditor is a skilled individual authorized to assess, evaluate, and validate financial statements' accuracy as prepared by a company.  The auditor reviews and gives a professional and independent opinion on the company's financial affairs.

The type of correlation not associated with scatterplots is called; an indefinite correlation

Correlation is also called dependence and is defined as any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation can only be between -1 and 1 but not outside these values.

The types of correlation that we have to include:

no correlation

positive correlation

negative correlation

Hence the type of correlation not associated with scatterplots is an indefinite correlation

Read more about correlation at: brainly.com/question/26172866

#SPJ1

Complete question is;

Which of the following is not a type of correlation associated with scatterplots?

A. no correlation

B. positive correlation

C. negative correlation

D. indefinite correlation

The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49

According to the given question.

The perimeters of two squares are in the ratio 2 : 7

The perimeter of a square of side x is 4x

The comparative length of the side of each square are 2/4 and 7/4

And, the comparative area are

(2/4)² and (7/4)²

Therefore, the ratios of the areas of the area of the smaller square to the area of the larger square

(2/4)² : (7/4)² = 1/4 : 49/16

⇒ 16×1/4 : 16×49/16

⇒ 4:49

Hence, the ratio of the area of the smaller square to the area of the larger square is 4 : 49

Find out more information about ratio here:

https://brainly.com/question/13419413

#SPJ1

The diameter is 18 inches.

It should be noted that the area of a circle is represented by πr². This will be:

πr² = 254.34

(3.14 × r²) = 254.34

3.14r² = 254.34

r² = 254.34/3.14

r² = 81

r = ✓81

r = 9

Therefore the diameter will be:

= 2 × radius

= 2 × 9

= 18

The diameter is 18 inches.

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Answer:

The diameter is 18 inches.

Step-by-step explanation:

Area of a circle formula:

A=πr2 (Area equals pi times radius squared)

254.34/3.14  (3.14 substituted for pi)

=81

square root of 81

=9

9x2

=18

Therefore, the diameter is 18 inches.

Coordinate plane is the answer of this problem.

A Coordinate plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis

We have been given real numbers A number is real that has no imaginary part the set of all real numbers comprises the rational and the irrationals.

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.

So therefore an ordered pair of real numbers can be represented in a plane called the rectangular coordinate system or the Coordinate plane.

Learn more about coordinate plan at brainly.com/question/13611766

SPJ4

Distance between Jamal's house and the park = 12 miles

Given distance from Loretta's house to the park = 43 miles

Distance from Loretta's house to Jamal's house = 31 miles.

Jamal's house is in between Loretta's house and the park.

Let 'x' be the distance from Jamal's house to the park.

So the distance between Loretta's house and the park is more than the distance from Jamal's house and the park.

Also the distance from Loretta's house to the park is the sum of the distance from Loretta's house to Jamal's house and the distance from Jamal's house to the park.

i.e., 43 = x + 31

Therefore, x = 43 - 31

                     = 12 miles

Learn more about Sum and difference at https://brainly.com/question/17695139

#SPJ4