Stan made changes to
his driving habits and
went from 18 mpg to
22 mpg. What was
Stan's percent
increase in his gas
mileage?

Answers

Answer 1

Answer:

22%

Step-by-step explanation:


Related Questions

subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x

Answers

Answer:

x = 11/2

Step-by-step explanation:

We would first put it in an equation

5x - 1 = 10 + 3x

We would first add 1 on both sides

5x = 11 + 3x

Then we subtract 3x on both sides

2x = 11

Divide both sides by 2

x = 11/2

The value of x from the given algebraic statement expression is;

x = 11/2

This is about simple Algebra.

The first expression is that; We are to subtract 1 from the product of 5 and x. This give; 5x - 1

The second expression is that we are to add 10 to the product of 3 and x. This gives us; 3x + 10

Finally, we are told that the first expression gives the same value as the second expression. This means that they are equal to each other and as such, we have;

       5x - 1 = 3x + 10

Let's add 1 to both sides to get;

5x - 1 + 1 = 3x + 10 + 1

⇒ 5x = 3x + 11

Let's subtract 3x from both sides to get;

2x = 11

Divide both sides by 2 to get;

x = 11/2

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What is the greatest common factor of 14, 51 ,21

Answers

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

what would the value of X be on this one?

Answers

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

(3x2)(−2x4) = 3(−2)x2∙4 = 6x8

Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8

Answers

Answer:

The correct answer is -6x⁶

Step-by-step explanation:

Given that:

[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]

From the second step above, using the law of indices the correct format should be

[tex]= (3\times -2)x^{2+4}[/tex]

So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.

Then the result of that yields

= -6x⁶

In the third step, they also omit the negative sign, when multiplying (3 * -2).

Thus, the correct answer is -6x⁶

Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP

Answers

well 1 pound should cost $3 so do the math lol

If Lily got 18 questions right on a 20 questions
test, what percentage of the questions did she
get wrong?

Answers

Answer:

She got 10% of the questions wrong !

Step-by-step explanation:

To solve this problem I used cross multiplication

[tex]\frac{x}{100}= \frac{18}{20}[/tex]

18 x 100 =1800

1800 / 20 = 90

Since they are asking what she got wrong, not what she got right, you just need to subtract.

100% - 90% = 10%

hope this helped !

Answer:

10%

Step-by-step explanation:

18/20 Questions = 0.9 or 90% she got right

2/20 Questions = 0.1 or 10% she got wrong

please help, i need to know this answer!!

Answers

Answer:

It is d

Step-by-step explanation:

9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.

Answers

the tree is 30 feet

A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9

minutes. How long would it take for the pool to be completely drained? (1 point)

Answers

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

Someone help me with this please

Graph y = 5/3x - 9

Answers

Answer:

The answer is in the attached screenshot

the Y intercept is 9

the slop is 5/3

hope this helps.

Step-by-step explanation:

May I have brainliest please? :)

Answer:jdjej

Step-by-step explanation: so u can give him brainliest

find the range value of x which satistfy inequality (x + 2)² > 2x + 7

Answers

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?

Answers

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?

Answers

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?

Answers

Answer:

the answer would be t56 im guess ing along with x

Step-by-step explanation:

The line of symmetry for the parabola represented by the equation is

x = 1.

What is a parabola?

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given an equation of a parabola, y = -x²+2x+6

Factorizing the equation, we get,

x = 1+√7 or x = 1-√7

We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.

We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:

(1+√7 + 1-√7)/2 = 1

Hence, the equation represents the line of symmetry of the given parabola is x=1.

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In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

Chuck took a slice of pizza from the freezer and put it in
the oven. The pizza was heated at a constant rate. The
table compares the pizza's temperature (in degrees Celsius) and the time since Chuck started heating it (in minutes). 4 minutes is 25 degrees celsius, 6 minutes is 40 degrees celsius and 8 minutes is 55 degrees celsius. How many minutes will it take for the pizza to reach 100 degrees celsius?

Answers

Answer:

16 Minutes

Step-by-step explanation:

[tex]\frac{4}{25} \\ \\[/tex] = [tex]\frac{16\\}{100}[/tex]

Both the numerator and denominator is multiplied by 4.

I need this last one I would give all my pints bcz I don’t understand it

Answers

I don't get it either

the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.

What’s 14/4 as a decimal

Answers

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4! Hope this helped

Answer:

3.5

Step-by-step explanation:

14 divided by 4 equals 3.5

Students had two options for lunch, either a taco salad or a hot dog.

The ratio of taco salads to hot dogs is 3:1.

If a total of 80 lunches were served, how many were hot dogs?

Answers

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.


PLS HELP

Answers

Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!


Expand and simplify (x + 3)(x-4)

Answers

answer: x^2x-12 (by the way ^2 is a square)

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.

Answers

Answer

The answer is 14:13

14:13 is ratio can’t be simplified

. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?

Answers

Answer:

4miles

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

What is the solution of the system? Use elimination.
2x + 2y +z = 7
-X – y +z = -5
x + 3y – 4z = 12

Answers

Answer:

The solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]2x\:+\:2y\:+z\:=\:7[/tex]

[tex]-x-\:y\:+z\:=\:-5[/tex]

[tex]x+3y-4z=12[/tex]

solving the system of the equations by the elimination method

[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]-2x-2y+2z=-10[/tex]

[tex]+[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]3z=-3[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]2x+6y-8z=24[/tex]

[tex]-[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]4y-9z=17[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]

Rearranging the equations

[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]

solve [tex]3z=-3[/tex] for z:

[tex]z=-1[/tex]

[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]

solve  [tex]4y-9\left(-1\right)=17[/tex] for y:

[tex]4y-9\left(-1\right)=17[/tex]

[tex]4y+9=17[/tex]

[tex]4y=8[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]

solve [tex]2x+2\cdot \:2-1=7[/tex] for x:

[tex]2x+2\cdot \:2-1=7[/tex]

[tex]2x+3=7[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Therefore, the solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

The question is in the image! Please help if u can its due really soon

Answers

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

Simplify the expression:

5a - 2a + 9

Answers

Answer:

3a+9

Step-by-step explanation:

Answer:

3a+9

Step-by-step explanation:

5-2=3 then 3a=9 it pretty simple

Which of the following is not a polynomial?

Answers

as dhad said c is not the polynomial

n Huda evaluated the expression below. -3(8-5)--(-7) -3(3)- - (-7) -3(9)-(-7) 27-(-7) What was Huda's error? Huda evaluated (3) 2 incorrectly. 0 Huda found the product of -3 and 9 as positive. Huda subtracted -7 from 27 incorrectly. Huda did not follow the order of operations.​

Answers

Answer:

B

Step-by-step explanation:


A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?

Answers

Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.

According to the question,

We have the following details:

Number of students in 1st row = 10

Number of students in 2nd row = 14

Number of students in 3rd row = 18

Number of students in 4th row = 22

Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.

It is to be noted that with each row 4 students are increasing.

For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.

Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.

Number of students in 5th row = number of students in 4th row + 4

Number of students in 5th row = 22+4

Number of students in 5th row = 26

Now,

Number of students in 6th row = number of students in 5th row + 4

Number of students in 6th row = 26+4

Number of students in 6th row = 30

Hence, there are 30 students on the 6th row of the bleachers.

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