Latoya drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 216 miles?

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Explanation:

Pick any column and divide the weight over the length

column 1:  9/15 = 0.6

column 2:  12/20 = 0.6

column 3:  18/30 = 0.6

column 4: 30/50 = 0.6

The weight per cm is 0.6 grams per cm

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Another way you could look at is like so

9 g = 15 cm

9/15 g = 15/15 cm

0.6 g = 1 cm

We divided both sides by 15 to turn "15 cm" into "1 cm". Think of "per cm" as "per 1 cm". This works for any other column as well.

Answer:

[See Below]

Step-by-step explanation:

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✦ To figure out the rule of this table you must Add, Subtract, Multiply, and Divide each line to find similarities.

___________________________________________________

✧ Line 1:

___________________________________________________

✧ Line 2:

___________________________________________________

✧ Line 3:

___________________________________________________

✧ Line 4:

___________________________________________________

So with this, we can conclude that each line has a similarity when we did:

___________________________________________________

So the weight per [tex]cm[/tex] is [tex]1.66[/tex] or [tex]g*1.66r[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

D

Step-by-step explanation:

1. calculate the expression

2.multiple reorder

3.remove parenthesis

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,-2) and (6,-1).

The distance between them is

[tex]d = \sqrt{ ({ - 8 - 6})^{2} + ({ - 2 + 1})^{2} } \\ = \sqrt{( { - 14})^{2} + ( { - 1})^{2} } \\ = \sqrt{196 + 1} \\ = \sqrt{197} \: \: \: \: \: \: \: \: \\ = 14.0356...[/tex]

We have the final answer as

Hope this helps you

Answer:

√197

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

1. To find how 3x+10=16, we must subtract 10 from both sides.

                           -10  -10

2. now we have 3x=6, we divide 3 from both sides

                           3    3

3. we end with x=2.

Now we know x=2, we plug in 2 into our second equation.

1. 4(2)+1 we multiply 4 times 2.

2. we are then left with 8+1, which equals 9.

Answer:

3 1/6

Step-by-step explanation:

Answer:

3 1/6

Step-by-step explanation:

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse=  24/25 and tanθ= vertical/horizontal=  24/7

Step-by-step explanation: I hope this helps!

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse=  24/25 and tanθ= vertical/horizontal=  24/7

Step-by-step explanation:

In simple words, the inverse function is obtained by swapping the (x, y) of the ... For example, to check if f(x) = 3x + 5 is one to one function given, f(a) = 3a + 5 and f(b) ... –9)}? Function h is not one to one because the y- value of –9 appears more than once. ... (2x − 1) [(4 + 5x)/ (2x − 1) + 4]/ [2(4 + 5x)/ (2x − 1) − 5] (2x − 1).

Answer:

not sure

Step-by-step explanation:

Answer:

100 + 50x = 600

Step-by-step explanation:

Answer: switch sides and theres your answer

Step-by-step explanation:

good luck

Answer:

irrational i think

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Unless a rational (finite) number is multiplied by an irrational (infinite) number, then it will always be rational.

5.5 is rational, as is 3.547

if either one of the two numbers above were to be multiplied by an irrational number (let's say pi), then the product would be irrational as well.

Answer:

When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

hope it helped

Answer:

3:4

Step-by-step explanation:

1350621

HOPE THIS IS THE ANWER

Answer:

[tex]P(W\ n\ F) = 43\%[/tex]

Step-by-step explanation:

Given

Represent customers that own their homes with W

Represent customers that have lived for less than 5 years with F

Such that:

[tex]P(W) = 60\%[/tex]

[tex]P(F) = 54\%[/tex]

[tex]P(W\ or\ F) = 71\%[/tex]

Required

Determine [tex]P(W\ n\ F)[/tex]

In Probability:

[tex]P(W\ or\ F) = P(W) + P(F) - P(W\ n\ F)[/tex]

Substitute values for each

[tex]71\% = 60\% + 54\% - P(W\ n\ F)[/tex]

[tex]71\% = 114\% - P(W\ n\ F)[/tex]

Solve for P(W n F)

[tex]P(W\ n\ F) = 114\% - 71\%[/tex]

[tex]P(W\ n\ F) = 43\%[/tex]

Answer:

32/1000

Step-by-step explanation:

Answer

[tex]\frac{32}{1000}[/tex]

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

so first of all you have to get the x on one side

5x - 108 = 4x - 45

5x - 108 + 108 = 5x + 4x = 9x

4x - 45 - 4x = -45 + 108 = 63

9x = 63

then you have to divide each side by 9          

9x / 9 = x

63 / 9 = 7

x = 7                                                                                                                                                                  

Step-by-step explanation:

The object of this problem is to get both sides (to the left and right of the equal sign) of the equation the same value. THIS IS JUST AN EXAMPLE:

4=4.

First thing is to add the like terms together (same variable and/or same exponent). So we do 5x-4x= 1x. (same variable) When we bring 4x to the left side of the equal sign, we bring the 108 to where the 4x was.

NEW EQUATION: 5x-4x=108-45

1x is the same as x. (Basically, 1 times x is x)

EQUATION: x=108-45

108-45= 63

So, x=63.  63 is the answer

Now to make sure the answer is correct, substitute each x in the equation for 63. If both sides have the same value you are correct.

CHECKING WORK: 5 x 63 - 108= 4 x 63 - 45

                                     315 - 108 = 252- 45

                                          207= 207

IT IS CORRECT!

Hope this helps.  

Answer:

x=3

Step-by-step explanation:

2x+5=11

first subtract 5 from 11

2x=6

then divide 6 by 2

x=3

Hello.

Subtract 5 from both sides of the equation.

2x + 5 (-5) = 11 (-5)

Simplify

2x = 6

Divide both sides of the equation by 2.

2x (/2) = 6 (/2)

x = 3

The unknown number in the equation is 3.

Answer:

1 B

2 A

3 B

Step-by-step explanation:

1

The population is the total sample from which part of the event is considered. It's like in a set, the population would encompass everything as a whole. From the statement given, we're expected to find the population. The population is B.

All NBA players since 1966. This is because it is from this pool that the draft picks were selected, and narrowed down to 45% which were centre backs.

2

The specified attribute is A.

Being a No. 1 draft pick, because that's the fulcrum of the statement in itself

3

B sample proportion. The population like I stated above, is all NBA players since 1966, thus, a population proportion would have had the statement like this.

45% of all NBA players since 1966...

So, therefore, it's a sample proportion since it is referring to the draft pick, and not the NBA players

Answer:

Answer:

1 B

2 A

3 B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of the measures of the angles in a triangle is 180°. The equation relating angles 1, 2, 3 will reflect this fact.

  m∠1 +m∠2 +m∠3 = 180°

__

Of course, angle 3 is supplementary to angle 4, so we have ...

  m∠3 +m∠4 = 180°

Substituting this expression for 180° in the first equation, we have ...

  m∠1 +m∠2 +m∠3 = m∠3 +m∠4

Subtracting ∠3 from both sides, we are left with an equation relating angles 1, 2 and 4.

  m∠1 +m∠2 = m∠4

__

The "rule" expressing this last relationship is, "an exterior angle is equal to the sum of the remote interior angles." Knowing this relation can make a number of problems easier to solve.

Answer: a = 16

Step-by-step explanation:

Answer:

8x+16

Step-by-step explanation:

First add the x and 7x which is 8x because x is equal to 1. Sec nd, you need to add 5+11 and it's 16. So your final answer is 8x+16.

Answer:

The simplified expression of the given expression is 8x + 16

Step-by-step explanation:

Solving this problem entails of simplifying the given expression. To do this we will first combine like terms. This step is taken to gather the terms in the expression that correspond with each other. Because the terms 'x' and '7x' both contain the same variable, we will combine these. Because the terms '5' and '11' are both numeral digits,  we will combine these as well.

x + 5 + 7x + 11

(x + 7x) + (5 + 11)

The like terms have now been grouped together.

The final step is to add each of the common terms together in order to get the expression in its simplest form.

(x + 7x) + (5 + 11)

8x + 16

The expression has been simplified. The correct answer should be a. 8x + 16

Answer:

b

Step-by-step explanation:

The answer is you can fit 18 books on the bookshelf. :)

You can fit 18 books perfectly.

We have a bookshelf of given dimensions.

We have to determine how many books can fit in this shelf.

There are 12 inches in 1 feet.

According to the question, we have -

Length of bookshelf = [tex]$3\frac{1}{2}[/tex] feet  = [tex]$\frac{7}{2}[/tex] feet = [tex]$\frac{7}{2} \times 12[/tex] inches = 42 inches.

Width of each book - [tex]$2\frac{1}{4}[/tex] inches = [tex]$\frac{9}{4}[/tex] inches.

Assume that the total number of books that can fit in a bookshelf is x. Therefore -

x = [tex]$\frac{42}{\frac{9}{4} } =42\times \frac{4}{9}[/tex]

x = 18.66 = 18 books (Approx.)

Hence, you can fit 18 books perfectly.

To solve more questions on quantity estimation, visit the link below-

https://brainly.com/question/21854275

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Answer:

B

Step-by-step explanation:

Answer:

b 7 gallons

8 pints times 7 gallons is 56 pints

Answer:

C

Step-by-step explanation:

If you have two functions such that 0 < g(x) < f(x) for all values of x on a domain, then g(x) converges if f(x) converges, and f(x) diverges if g(x) diverges.

Basically, if a known function converges, then a smaller function also converges.  And if a known function diverges, then a larger function also diverges.

1/√x is a p-series where p = ½, so this integral diverges.

1/(√x − 1) is larger than 1/√x on the domain 2 ≤ x ≤ ∞.  So if 1/√x diverges, then 1/(√x − 1) also diverges.

Answer:

One-time set up fee cost = $45

Step-by-step explanation:

Given:

Cost for 5 hours = $235

Cost for 12 hours = $501

Find:

One-time set up fee cost

Computation:

One-time set up fee cost = x

Hourly cost = y

So,

For 5 hour

x + 5y = 235 ......eq1

For 12 hour

x + 12y = 501 ......eq2

From eq 1 and eq 2

x = 45

So,

One-time set up fee cost = $45