bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas

Answers

Answer 1

Answer:

Bobby can drive 352 miles with 16 gallons of gas.

Step-by-step explanation:

110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.

110 ÷ 5 = 22

Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352


Related Questions

Find the third term of (x^2 + 2)^4.

Answers

Answer:

Step-by-step explanation:

[tex]in~the~expansion~of~(x+a)^n\\T_{r+1}=ncr x^{n-r}a^r\\r+1=3\\r=3-1=2\\n=4\\4c2=\frac{4 \times 3}{2 \times 1} =6\\T_{2}=4(x^2)^{4-2}(2)^2\\=16(x^2)^2\\=16x^4[/tex]

the third term is: 24*x^4

We want to find the third term of the equation:

(x^2 + 2)^4

So we need to expand that.

Remember the rule:

(a + b)^2 = a^2 + 2*a*b + b^2

(a + b + c)^2 = a^2 + b^2 + c^2 + 2*a*b + 2*b*c + 2*c*a

Then we can write:

(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2

and we have:

(x^2 + 2)^2 = (x^4 + 2*2*x^2 + 2^2) = (x^4 + 4*x^2 + 4)

Then we have:

(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2

(x^2 + 2)^4 = (x^4 + 4*x^2 + 4)^2

And we can expand this as:

(x^4)^2 + (4*x^2)^2 + 4^2 + 2*(x^4)*(4*x^2) + 2*(4*x^2)*(4) + 2*(x^4)*(4)

now we have this expanded, so we need to simplify this:

x^8 + 16*x^4 + 16 + 8*x^6 + 32*x^2 + 8*x^4

Putting the terms in order (larger degrees go in the left) we get:

x^8 + 8*x^6 + 16*x^4 + 8*x^4 + 32*x^2 + 16

x^8 + 8*x^6 + (16 + 8)*x^4 + 32*x^2 + 16

x^8 + 8*x^6 + 24*x^4 + 32*x^2 + 16

So the third term would be the third counting from the left, which is:

24*x^4

If you want to learn more, you can read:

https://brainly.com/question/12556222

Find the equation of the line that is parallel
to the line y = -5x - 9 and passes
through the point (-4,-9) Write the
equation in slope-intercept form.

Answers

A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

i neeeeeeed help :)))))

Answers

Volume of cone = 1/3 x area of base x height
So area of base = 3 x volume / height = 3 x 15pi / 5 = 9pi m^2

The radius of the base will be 3 m but this was not asked for.

Solve the inequality 2x – 22 < -8.

Answers

2x - 22 < -8

Add 22 to both sides

2x < 14

Divide both sides by 2

X < 7

Answer:

[tex]2x-22<-8[/tex]

Add 22 to both sides

[tex]2x-22+22<-8+22[/tex]

[tex]2x<14[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}<\frac{14}{2}[/tex]

[tex]x<7[/tex]

OAmalOHopeO

Find the future sum of a present value of $2,000 deposited in a bank at 5% interested for 8 years, compounded continuously (F=Pert). Round answer to the nearest dollar. Use 2.718 for e.
I'll give a brainliest

Answers

Answer:

$2983.65

Step-by-step explanation:

A = $2000[tex]e^{8*.05}[/tex] =

4. a) x2 + xy2 + y 4

Answers

Answer:

x2 + xy2 + y 4=(x+y^2)^2-xy^2

Step-by-step explanation:

A line of best fit predicts that when x equals 28, y will equal 27.255, but y actually equals 26. What is the residual in this case?
A. 0.745
B. -0.745
C. -1.255
D. 1.255​

Answers

Answer:

C) -1.255

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value =  26 - 27.255

Residual values = -1.255

The answer is -1.255 for residual value.

A bag contains 5 pieces of string. The lengths of the pieces of string are 1 inch, 3 inches, 5 inches, 7 inches, and 9 inches. Suppose you pick three pieces of string from the bag at random and all pieces are equally likely to be chosen. What is the probability you can form a triangle with the three pieces

Answers

Answer:

30%

Step-by-step explanation:

There are 10 possible combinations of sticks that can be drawn from a group of 5 strings

 

5C3 = (5*4*3)/(3*2)   = 10 combinations, which are

1,3,5 ; 1,3,7 ; 1,3,9 ; 1,5,7 ; 1,5,9 ; 1,7,9 ; 3,5,7 ; 3,5,9 ; 3,7,9 ; 5,7,9

 

to make a triangle, the sum of any two sides must be greater than the third side and if you look at the possible combinations there are only three cases where that is true

 

so the probability for drawing three sticks that would make a triangle is 3/10 or 30%

Someone help please With geometry

Answers

Answer:

9

Step-by-step explanation:

RT = ST + RS

RT = x + 5, ST = 4x - 9, RS = x - 2

x + 5 = 4x - 9 + x - 2

Combine like terms

x + 5 = 5x - 11

Add 11 to both sides

x + 16 = 5x

Subtract x from both sides

16 = 4x

Divide both sides by 4

4 = x

Find RT

RT = x + 5

x = 4

RT = 4 + 5

RT = 9

Answer:

RT = 9

Step-by-step explanation:

        R         x - 2                   S        4x - 9             T

        +-------------------------------+--------------------------+

                                         x + 5

RT = RS + ST

x + 5 = x - 2 + 4x - 9

x + 5 = 5x - 11

-4x = -16

x = 4

RT = x + 5

RT = 4 + 5

RT = 9

-5 (k+4) > 2 - (3k+6)

Answers

I believe that the answer you are looking for is -8>k, or k<-8.

Solution/Explanation:

First, writing out the inequality,

-5(k+4) > 2-(3k+6)

Next, using the Distributive Property on both sides,

-5k-20 > 2-3k-6

Simplifying the right side just a little bit more,

-5k-20 > -3k-4

Adding 5k to both sides,

-5k+5k-20 > -3k+5k-4

-20 > 2k-4

Now, adding 4 to both sides,

-20+4 > 2k-4+4

-16 > 2k

Finally, dividing 2 from both sides,

So, therefore, the final answer is -8>k, or k<-8.

I hope this helped answer your question. Enjoy your day, and take care!      

What is the sum of the geometric series below?

3+1+1/3+1/9+1/27

Answers

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]

(x+4)^2-(x+2)(x-2)=20

Answers

⇒x²+ 4² - x²+ 2x - 2x + 4 = 20

⇒ x² - x² + 2x - 2x + 4² + 4 = 20

⇒ 16 + 4 = 20

⇒ 20 = 20

RHS = LHS hence proved

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 0

Step-by-step explanation:

(a + b)² = a² +2ab + b²

(a +b)(a -b)= a² - b²

(x + 4)² - (x + 2 )(x - 2) = 20

x² + 2*4 *x + 4² - [x² - 2²] = 20

x² + 8x + 16 - [x² - 4]  = 20

x² + 8x + 16 - x²  + 4   = 20                 {(-1) is distributed x² and (-4)²}

x² - x² + 8x + 16 + 4     = 20 {Combine like terms}

                      8x + 20   = 20

                           8x      = 20 - 20

                               8x   = 0

x = 0

                                 

                           

What is the decimal equivalent of 9.7x10^5
A. 0.000097
B. 970,000
C. 9,700,000
D. 97,000,000

Answers

Answer:

B. 970,000

Step-by-step explanation:

Move the decimal 5 places to the right, since the exponent is a positive 5.

9.7 x 10 = 970,000.

If it is a negative exponent, you would have to move the decimal to the left.

If 2 fligs make a flog and 3 flogs make a flug, how many fligs in 12 flugs?

Answers

Answer:

There are 72 fligs in 12 flugs

5a + 18 < −27 pre algibra

Answers

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

Answer: -9

Step-by-step explanation:

5a+18 < -27

5a< -27-18

5a<-45

a< -45/5

a< -9

find the missing side. Round it the nearest tenth.​

Answers

Answer: x= 11√3= 19.0525 = 19.1

Step-by-step explanation:

Let the reference angle be 30

so

cos 30 = b/h

√3/2 = x/22

or, 22√3 = 2x

or. x = (22√3)/2

so, x = 11√3

Answer:

x = 19.1 cm

Step-by-step explanation:

→ Find the name of the side you are not given

Opposite

→ Find a formula without opposite in it

Cos = Adjacent ÷ Hypotenuse

→ Rearrange to make adjacent the subject

Adjacent = Cos × Hypotenuse

→ Substitute in the values

Adjacent = Cos ( 30 ) × 22

→ Simplify

Adjacent = 19.1

The fan below has been stretched open as far as it will go to form a semi-circle.
Each of the eighteen sectors formed by the fan consists of the same amount of fabric. The length of
each wooden rod that connects the center of the fan to its edge is 12 cm. The wooden rods are
glued to the fabric forming the fan. Determine the approximate area of each sector.

Answers

Answer:

Area of each sector=[tex]12.6cm^2[/tex]

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=[tex]\frac{1}{2}\pi r^2[/tex]

Using the formula

Area of fan=[tex]\frac{1}{2}\pi (12)^2=72 \pi cm^2[/tex]

Area of each sector=[tex]\frac{area\;of\;fan}{Total\;number\;of\;sectors}[/tex]

Area of each sector=[tex]\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2[/tex]

Where [tex]\pi=3.14[/tex]

Area of each sector=[tex]12.56cm^2\approx 12.6 cm^2[/tex]

Question 10 of 10
Which system of inequalities is graphed below? See picture

Answers

Match the points up with the given equation to find your answer

Helpppp pleaseeee !!!!!!

Answers

Answer:

149 inches squared

Step-by-step explanation:

top rectangle: 25 * 7 = 175

second rectangle: 8 * (25 - 17) = 8^2 = 64

triangle in bottom right: 1/2 * (13 - 8) * (15 - 11) = 10

175 + 64 + 10 = 149 sq in

hopefully got this right!

What is the mathematical expression for seven less then a number

Answers

You can do x-7, with x being your number! This works for any number! Make sure to give brainliest if this answer helped you!

jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them​

Answers

Answer:

jojo is 26

esi is 13

and kweku is 8 years old.

Step-by-step explanation:

Let esi's age be x then jojo's age is 2x.

Also kweku's age is x - 5. as esi is 5 years older than kweku.

So  x + 2x + x - 5 = 47

4x = 47 + 5 = 52

x = 13.

So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.

There is a proportional relationship between any length measured in centimeters and
the same length measured in millimeters. There are two ways of thinking about this proportional relationship. If you know the length of something in centimeters, you can calculate it’s length in millimeters

Answers

The constant of proportionality is 10.

What is constant of proportionality?

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality is the fixed or constant pace at which ratios rise and decrease. Two ratios are said to be directly proportional if they share the same constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. The constant of proportionality is the name given to this consistent pace of growth or decline.

a)

since , 1 cm = 10mm

9cm = 90mm

12.5cm = 125mm

50cm = 500mm

88.49cm = 884.9mm

b)

The constant of proportionality is 10.

To know more about constant of proportionality please visit:

https://brainly.in/question/15971683?

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Find he probability of no more than 35 defective CD's in a batch of 80 CD's if the probablility of any one CD being defective is 0.1.

Answers

Answer:

0.999999

Step-by-step explanation:

Given that :

Probability of CD being defective, p = 0.1

q = 1 - p = 1 - 0.1 = 0.9

Total number of CD's = number of trials = 80

Probability, that no more than 35 CD's are defective ;

The question satisfied the requirements for a binomial probability problem ;

Recall :

P(x = x) = nCx * p^x * q^(n-x)

Hence,

P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)

Using calculator to save computation time :

P(x ≤ 35) = 0.999999

A model of the Saturn V rocket has a scale of 1 inch = 12 feet. If the model rocket is 30 inches tall, how tall was the actual Saturn V rocket

Answers

Answer:

360 feets

Step-by-step explanation:

Given :

Scale : 1 inch = 12 feets

This means 1 inch on paper (model) represents 12 feets in real life

If the model height = 30 inches ;

The actual height of the Saturn V rocket will be :

1 inch = 12 feets

30 inch = x

x = (30 * 12)

x = 360 feets

Actual height = 360 feets

The area of a square piece of land is 784metersquared .What is the perimeter​

Answers

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = [tex]\sqrt{784}[/tex] = 28

Then

perimeter = 4s = 4 × 28 = 112 m

Answer:

112m

Step-by-step explanation:

the area of the square is 784m^2 so the square root of 784 would give us the length of the sides(since it's a square the length of each sides are equal). √784 would give 28m. 28 m is the length of each sides..so now the perimeter would be the addition of each sides which in case would be 4 times 28 because it's a square. 4 times 28 gives 112m.

3(x-5)=5x-(3-x) solve for x

Answers

Answer:

x = -4

Step-by-step explanation:

[tex]3(x-5)=5x-(3-x)\\\\3x-15=5x-3+x\\\\3x-15=6x-3\\\\-15=3x-3\\\\-12=3x\\\\-4=x[/tex]

Step-by-step explanation:

[tex]3(x - 5) = 5x - (3 - x) \\ 3x - 15 = 5x - 3 + x \\ 3x - 5x - x = - 3 + 15 \\ - 3x = 12 \\ x = \frac{12}{ - 3} \\ x = - 4[/tex]

I hope it helped U

stay safe stay happy

If give 7 billions for 7 millions people. What is total?

Answers

Answer:

this is a very big number

Step-by-step explanation:

(7000000000)⁷⁰⁰⁰⁰⁰⁰

what is the product of (3 + x) and (2x – 5)

Answers

Answer:

2x² + x - 15

Step-by-step explanation:

(3 + x)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3(2x - 5) + x(2x - 5) ← distribute both parenthesis

= 6x - 15 + 2x² - 5x ← collect like terms

= 2x² + x - 15

if (-2/15)+(-13/5)=(-13/5)+a/b then a/b is equal to​

Answers

The choose C. –2/15

(-2/15) +(-13/5) =(-13/5) +a/b

a/b = (-2/15)+(-13/5) - (-13/5)

a/b = (-2/15) - ( 39/15) +(39/15)

a/b = –2/15

I hope I helped you ^_^

Answer: option 3: a/b = (-2/15)

Step-by-step explanation:

See here when we solve this

(-2/15)+(-13/5) = (-13/5)+a/b

(-2/15) = (-13/5)+a/b-(-3/15)

(-2/15) = a/b

please click thanks and mark brainliest if you like :)

What is the Compound interest on Rs.1000 at the rate of 20% p.a. semiannually for 1 year and 10 months?
A. Rs. 420.31
B. Rs. 400.29
C. Rs. 419.73
D. Rs. 409.13​

Answers

Answer:

420.31

Step-by-step explanation:

A

.Rs.420.31

20ejjdj

Answer:

I think A rs 420.31 is right answet

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