Roselyn is driving to visit her family, who live 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter.
What is the price for the amount of fuel that Roselyn will use for the entire drive?

Answer:

x = 5

Step-by-step explanation:

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FACTS TO KNOW BEFORE SOLVING :-

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[tex]4 \times 8^{2x+1} = 32^{x+2}[/tex]

Lets express it in terms of 2.

[tex]=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}[/tex]

[tex]=> 2^2 \times 2^{6x+3} = 2^{5x+10}[/tex]

[tex]=> 2^{2 + 6x+3} = 2^{5x+10}[/tex]

[tex]=> 2^{6x+5} = 2^{5x+10}[/tex]

Here the bases on both the sides are equal. Hence ,

[tex]=> 6x + 5 = 5x + 10[/tex]

[tex]=> 6x - 5x = 10 - 5[/tex]

[tex]=> x = 5[/tex]

Answer:

Between 5 and 5 1/2 inches

Step-by-step explanation:

Answer:

Number of terms = 3

Degree = 6

Step-by-step explanation:

A polynomial is a mathematical expression that gives the detailed combination of variables with their coefficients, their positive exponential, and other variables using the operations of subtraction, addition, and multiplication

The number of terms in a polynomial is the number of different powers of added or subtracted in the expression

Therefore, the number of terms in the expression -3·s⁶ + 2·s⁴ + 3·s³ is 3 terms

Number of terms = 3

The degree of a polynomial is given by the highest power of the variables in the polynomial. Therefore, the degree of the given polynomial is 6

Degree = 6

Answer:

x = -9

Step-by-step explanation:

-2x + 6 + 4x = -12

-2x + 4x = -12 - 6

2x = -18 -----Divide -18 by 2

x = -9

Answer:

There is a difference between FRACTION and PROPORTION.

Explanation of fraction:

On a card board sheet draw a square or rectangle or any simple shape of your choice. Divide your preferred shape into 4 equal parts. One portion or one part of the divided shape is 1/4. Three (3 ) parts of the divided shape equal 3/4. Also if the shape is divided into twenty (20). One (1) part is 1/20, sixteen(16) parts equal 16/20.

Explanation of Proportion:

If an item is shared in a proportion of 3:4,it means that A gets 3/(3+4) of what is to be shared , that is 3/7 of the bulk item to be shared. B gets 4/(3+4) of what is to be shared, that is 4/7 of the bulk item to be shared.

Also if an item is shared in a proportion of 16:20 , A gets 16/(16+20)=16/36 of Bulk item while B gets 20/(16+20)= 20/36 of the Bulk item being shared.

In effect Fractions and Proportions are related but different.

Answer:

b

Step-by-step explanation:

x=11/3 or 3.6667 which is b

Answer:

Answer might be b

Step-by-step explanation:

9x+12

-----—---- = 15

3

9x+12 = 15 *3

9x +12 = 45

9x=45-12

9x =33

x = 33

---

9

x = 3.6

Not sure what I did is correct so pls check

Answer:

x=1

Step-by-step explanation:

(5x-3)3=8

taking the cube of both sides we get

5x-3=2

adding three to both sides we get

5x=5

dividing by five on both sides we get

x=1

if you found my answer helpful please mark as brainliest.

its blur

how can we read it if your picture is blur

Answer: i don't know

Step-by-step explanation:

hi i  don't know any of this stuff i hope you don't learn anything Bye  

Answer:

Step-by-step explanation:

Here is an example:

[tex]3x^{2} +7=55[/tex]

-7 on both sides of the equation

[tex]3x^{2} =48[/tex]

divide by 3 on both sides

[tex]x^{2} =16[/tex]

square root the [tex]x^{2}[/tex] and 16

x=±4

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

First is 144

Second is 16

Third is 9

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160

the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216

the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152

Step-by-step explanation:

Answer:

The total comission on the sale was $375.

Step-by-step explanation:

Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:

Total comission=(10,000*5%)+(12,500-10000)*(3%)

Total comission=500+(2,500*3%)

Total comission=300+75

Total comission=375

According to this, the answer is that the total comission on the sale was $375.

Answer:

23.49 in.

Step-by-step explanation:

Formula for area of triangle: 1/2 * b * h

1/2 * 16.2 = 8.1

8.1 * 2.9 =23.49 in.

Answer:

Rounding

Step-by-step explanation:

Answer:

Round

Step-by-step explanation:

Answer:

hector

Step-by-step explanation:

Aida is adding

hector is multiplying

camila is dividing

juan is subtracting

6x=6timesx=6(x)

so hector is right

Answer:

Hector's work

Step-by-step explanation:

"Six times as many" means 6 x the number of goal!

Hope that helps!

Answer:

statistic

Step-by-step explanation:

Answer:

1<7

Step-by-step explanation:

Hey there!

1.) adjacent

2.) vertical

3.) corresponding

4.) none of these

5.) 1 and 7, 3 and 5, 2 and 8, 4 and 6

6.) 2 and 7, 6 and 3

Have a terrifcly amazing day!

Answer:

11

Step-by-step explanation:

13×13 = 169

17 × 17 = 289

289 - 169 = 120

Square root of 120 is 10.95

Round answer to 11

Answer:

second table

Step-by-step explanation:

For a proportional relationship, the constant of proportionality k is

k = [tex]\frac{y}{x}[/tex]

Choose an ordered pair from each table and evaluate for k

Table 1

using (8, 1 ), then

k = [tex]\frac{1}{8}[/tex] = 0.125 ≠ 0.8

Table 2

using (10, 8 ), then

k = [tex]\frac{8}{10}[/tex] = 0.8

Table 3

using (8, 0.8 ), then

k = [tex]\frac{0.8}{8}[/tex] = 0.1 ≠ 0.8

Table 4

using (10, 20.8 ), then

k = [tex]\frac{20.8}{10}[/tex] = 2.08 ≠ 0.8

Table 2 has a constant of proportionality k = 0.8

Answer: I’m so sorry I don’t understand it but you should try Photomath it’s a app that helps with math and gives answers to math problems. Another good app is Socratic it looks for answers for any subject.

Step-by-step explanation:

Answer:

3 percent

Step-by-step explanation:

convert to seconds

960 seconds to 930 seconds

30 seconds ÷ 960=3 per cent

The percentage reduction in time is required.

The percentage reduction is [tex]3.125\%[/tex]

The initial value of time = 16 minutes

Final value of time = 15 minutes and 30 seconds = 15.5 minutes

Percentage reduction is given by

[tex]\dfrac{\text{Old value}-\text{New value}}{\text{Old value}}\times 100\\ =\dfrac{16-15.5}{16}\times100=3.125\%[/tex]

The percentage reduction is [tex]3.125\%[/tex]

Learn more:

https://brainly.com/question/22251107

https://brainly.com/question/12354465

Answer:

The following box plot shows points awarded to dance teams that

Step-by-step explanation:

Which dot plot best represents the box plot data?

(answer choices are in order btw) Answer choices:

Answer:

x-y=5

4x+6y=120

Step-by-step explanation:

let x = # of 4-point questions

ley y = # of 6-point questions

# of 4-point questions is 5 more than # of 6-point questions

x=y+5 or x-y=5

now there's the matter of the points. Since each x is worth 4 points and each y is worth 6 points, they total number of points have to add up to 120, therefore:

4x+6y=120

The System of Equation is

x-y=5

4x+6y=120

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let x be number of 4-point questions.

ley y be number of 6-point questions.

as, the 4-point questions is 5 more than 6-point questions

So, x=y+5

or x-y=5.................(1)

Since each x is worth 4 points and each y is worth 6 points, they total number of points is 120.

So, 4x+6y=120....................(2)

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8

y ≥ 34 x −8

Multiply 34 by −8.

y≥−272

Step-by-step explanation:

Answer:

7, 24, 26

Step-by-step explanation:

6 squared is 36 and 8 squared is 64. Add them together and you get 100, which is 10 squared. Do the same for the other ones and you'll notice that 7 squared and 24 squared added together is 625, which is not 26 squared. In my head 25 squared is 625(check if you don't believe me) so I know that the answer is the third one. The basic formula for a right triangle is a^2 + b^2 = c^2, and that's how you find if three numbers form a right triangle or not. Hope this helps :)