Lea drove 420 miles and used 20 gallons of gas. how many miles per gallon did her car get

Answer: 6

Step-by-step explanation: 2^2=4

4/4=1  1+2+3=6

Answer:

x=33

y=134

z=46

Step-by-step explanation:

Lets solve for Z first. It is in a triangle with 2 angles already known: 84 and 50. Because the 3 angles in all triangles add to 180...

z+50+84=180

z=180-50-84

z=46

Angles z and y are supplementary, because they exist on the same line and are cut off by one line segment. This means that their angles add to 180.

180=y+z

we already know that z=46

180=y+46

y=180-46

y=134

Now we can use the same rule we used to find z, to find x.

x+y+13=180

we just found that y=134

x+134+13=180

x=180-134-13

x=33

Answer: the first number is 9, the second is 4

Step-by-step explanation:

let n = 1st number

let n-5 = 2nd number

n+(n-5)=13

collect like terms: 2n-5=13

add 5 to both sides

2n=18

divide both sides by 2

n=9

n-5=4

Answer:

A. 0 because 5 is the minimum

Step-by-step explanation:

Use the formula  

x  =  −  b /2 a

to find the maximum and minimum.

( 0 , 5 )

Multiple x² by -1 would flip it across x-axis so -x² would have maximum value 0. Now multiplying -x² by 2 stretch it vertically, however 2 times 0 is still 0 so maximum value is still 0. Now we add it by 5 which makes it shifts 5 units up, so this affects maximum value. So everything will be shifted 5 units up, so new maximum would be 5. Final 5

Answer:

1) 2 5/12

2) -3 1/30

3) 3/5

4) m = -28

5) b = -27

Step-by-step explanation:

1) You may be expected to solve this a different way, but how I prefer to solve these involves converting to "improper fractions", then making everything whole.

-11/3 = x - 5/4 (convert to improper fractions)

-44 = 12x - 15 (multiply everything by 12 to get whole numbers)

-29 = 12x (add 15 to both sides)

-29/12 = x (divide both sides by 12)

2 5/12 = x (convert to a mixed number, because that's what the question asks)

For clarity, that's two and five twelfths.

2) Same thing as above. I prefer improper fractions.

x + 17/6 = -1/5 (simplify and convert to improper fractions)

30x + 85 = -6 (multiply everything by 30 to get whole numbers)

30x = -91 (subtract 85 from both sides)

x = -91/30 (divide both sides by 30

x = -3 1/30 (convert to a mixed number, because that's what the question asks)

For clarity, thats minus/negative three and one thirtieth.

3) Same thing as above.

-(11/3)x = -11/5

-55x = -33

55x = 33

x = 33/55

x = 3/5

4) Same as above, but it's multiple choice! Yay!

-3m = 84

m = -28

5) You know the drill.

-b = 27

b = -27

I'd be happy to explain more if you need it at all. I'd recommend that next time this comes up, you post just one problem and see if you can understand the method so you can better learn how to do it on your own. Good luck (:

Answer:

1) 2 5/12

2) -3 1/30

3) 3/5

4) m = -28

5) b = -27

Step-by-step explanation:

Answer:

An ordinary angle is a measure of the length subtended by a one-dimensional subset of the plane. For example, an angle of 60∘ is subtended from a point by a 16 portion of a circle centered at that point. The 16 arc that subtends the angle is a one-dimensional subset of the two-dimensional plane.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Formula for

Lower quartile (Q1)

= N + 1 multiplied by (1) divided by (4)

Answer:

There is no difference.

Step-by-step explanation:

All whole numbers can be written as fraction, so you would just use the same formula for the fraction as a whole number.

For example:

The whole number 6 can be written as 6/1. We can divide 6/1 by 3/7 by finding the inverse of 3/7 which is 7/3. Then, it is just easy multiplication.

6/1 X 7/3=42/3=14

There is no different for divinding fractions by fractions and you can use the same formula.

Answer:

To Divide a Fraction by a Whole Number: Step 1. Multiply the bottom number of the fraction by the whole number; Step 2. Simplify the fraction (if needed) ...

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The slope of the line is zero because it is a horizontal line with no rise or fall.

Answer:

0

Step-by-step explanation:

Following are the calculation to the method value:

Given:

[tex]\cos (xy) = y-1\\\\ x=\frac{\pi}{2} \ \ and \ \ y = 1[/tex]

To find:

[tex]\frac{dy}{dx}=?[/tex]

Solution:

[tex]\to \cos (xy) = y-1\\\\\to \frac{d}{x} \ (\cos xy) = \frac{d}{dx}\ (y-1)\\\\\to -\ ( \sin xy) \frac{d}{dx} \ (xy) = \frac{dy}{dx}\\\\\to -\ ( \sin xy) ( x\ \frac{d}{dx} + y) = \frac{dy}{dx}\\\\\to - x \sin (xy) \ \frac{dy}{dx} -y\sin (xy) =\frac{dy}{dx}\\\\\to \frac{dy}{dx} (1+ x \sin \ xy) = - y \sin xy\\\\\to \frac{dy}{dx}=\frac{-y \sin xy}{1+x\sin xy }\\\\[/tex]

When [tex]\ x=\frac{\pi }{2} \ \ \ and \ \ \ y=1\\\\[/tex]

[tex]\to \frac{dy}{dx}=\frac{- 1 \sin (\frac{\pi }{2})}{1+ \frac{\pi }{2} \sin \frac{\pi }{2} }\\\\\to \frac{dy}{dx}=\frac{- 1 }{1+ \frac{\pi }{2} } = \frac{-1 }{\frac{2+\pi }{2}}\\\\\to \frac{dy}{dx}=\frac{-2}{2+\pi }\\\\[/tex]

Learn more:

brainly.com/question/23143484

Answer:

Step-by-step explanation:

22

Answer:

x= 45

Step-by-step explanation:

55 +2x+(x-10) =180

2x + x-10 = 125

3x = 135

x=45

Answer:

equation: y= -2x -4

Step-by-step explanation:

slope intercept form is y=m x+b, m being slope and b being the y intercept

Answer:

The two at the left are parallel.

890 apples.

Hope this helps

[tex]10x -7 = 4x+5 \\\\\implies 10x -4x = 5+7 \\\\\implies 6x = 12 \\\\\implies x = \dfrac{12}6 =2[/tex]

~one variable linear equation

===============================

10x - 7 = 4x + 5

= 10x - 7 - 4x = 5

= 10x - 4x = 5 + 7

= 6x = 5 + 7

= 6x = 12

= x = 12 ÷ 6

= x = 2 ✔️

~ nice to help you ^^

Answer:

A. y = | x – 7 |

Step-by-step explanation:

y=|x-7| because in order to go to the right you have to subtract the amount from x

the answer is y=|x-7|

Step-by-step explanation:

we know that the general translation of some equation y=f(x) to the left or right direction by 'a' units is given by y=f(x+a) ; where if 'a' is negative then the translation is in the "right direction" and if 'a' is positive then the translation is in the "left direction".

so in the given question we have the equation y=|x| for it to be translated 7 units in the right the resulting equation is y=|x-7|.

Answer:

129

Step-by-step explanation:

Answer: It shifts down 4 units to 3,23 It shifts up 64 units to 3,91 It ...

Step-by-step explanation:In this section, we study how the graphs of functions change, ... 3. 4. 5 y = f(x). The Fundamental Graphing Principle for Functions says that for a point ...If the graph is transformed into the graph defined by y= f(2x–8), determine the domain of the transformed graph. y = f[2(x-4)} horizontal stretch by shift 4 ...

Applying similarity of triangles, the values of x and y are given as follows:

Similar triangles have congruent angle measures, thus the measures of the side lengths are proportional. This relation can be proven from the law of sines.

In this problem, we have two triangular prisms which are similar, and the equivalent side lengths are presented as follows:

Hence the following proportional relationship is established with the side lengths:

14/x = 8/4 = 20/y.

Applying cross multiplication with the middle term, the measure of x is calculated as follows:

14/x = 8/4

14/x = 2

2x = 14

x = 14/2

x = 7 cm.

The measure of y is calculated as follows:

20/y = 8/4

20/y = 2

2y = 20

y = 20/2

y = 10 cm.

The triangular prisms are given by the image at the end of the answer.

More can be learned about similarity of triangles at brainly.com/question/305520

#SPJ1

Answer:

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

Given:

Area of polygon=10.4

sides of polygon=2

Formula for area of a regular polygon= 1/2 (apothem x perimeter )

Putting value, we get

10.4= 1/2 ( a x 12 )

10.4=6a

a=10.4/6

a=1.73

Answer:

Step-by-step explanation:

1.7Step-by-step explanation:Given:Area of polygon=10.4 sides of polygon=2 Formula for ...

Answer:

ill answer it when im done with my homwork i see u  need help buddy

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 1/2 * 2 2/3 = 28/3= 9 1/3

hope this helped<3!!..

Answer:

any number greater than 16 is fine.

Step-by-step explanation:

if a=2

then, 2(a+6) = 2(2+6)=2*8=16

Answer:

The expression that has a value greater than the given expression when a = 2 would be;  a⁴+ 2

Step-by-step explanation:

got it incorrect when I took the quiz, here's a photo for proof.

Answer:

55 days

Step-by-step explanation:

1 day = 45 minutes

=> x days = 2475 ÷ 45

=> x days = 55 days

Therefore, he had rode 55 days in the whole summer.

Answer:

The value of the x variable is 30.

Step-by-step explanation:

Since the triangles are similar, the corresponding sides of both triangles have a common ratio. The 18:12 ratio of side LK and QR is equal to 2:3, and the 21:14 ratio of sides JL and PQ is also equal to 2:3. Based on this, we know that 2/3 * x = 20, so we isolate the x variable by dividing both sides of the equation by 2/3 to get the answer: x = 30.

Hey there!

• Mean is the average (total) with the given set of numbers in your data plot

• Average is the sum of your total numbers that are divided by the total numbers in your data plot.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)