All categories

2 years ago

Writing lan's car can go 217 miles on 7 gallons of gas. During a drive last weekend, lan used

Mathematics

1 answer:

jolli1 [7]2 years ago

3 0

Answer: Ian would have drove 91 miles using only 3 gallons of gas.

Step-by-step explanation: I used paper and pencil and used a T-chart putting one section at the top “gallons” and the other “miles”; under gallons I put 7 because the question stated with “7 gallons of gas”; under miles I put 217 because the question states that with 7 gallons of gas Ian’s car travels 217 miles so using the T-chart I want to simply the 7 gallons of gas to one gallon of gas to figure out how miles Ian’s car would go only using 3 gallons of gas; by dividing 7 by 7 giving me 1, and with a T-chart you wanna do the same thing to both sides meaning I divided 217 by 7 as well giving me 31 for 1 gallon of gas, meaning Ian’s car would travel 31 miles with only using 1 gallon of gas. After I find that answer I go to multiply the 1 under “gallons” by 3 to and again, if you do it to one side you have to do it to the other meaning I multiplied 31 my 3 as well; giving me 91. Meaning with only using 3 gallons of gas Ian’s car would travel 91 miles!

You might be interested in

A soda company produces 12 oz cans of soda. The mean volume is 12 oz with a

Lena [83]

Answer:

456

Step-by-step explanation:

11.5 oz would be 2 standard deviations below the mean... z -score = -2 = .0228 (from Z-Score table)

22.8% of 2000 = 456

7 0

1 year ago

Lily ran 1,000 meters in 12 minutes. How many meters/minute did she run?

vladimir2022 [97]

Answer:

1,000 divided by 12=

aprox 83.3 meters per minute

5 0

2 years ago

Math word problem. What's the equation I use?

UkoKoshka [18]

You would have to find the proportionality of the two. If his shadow is 3 feet long, and the tree's shadow is 9 that means it is proportioned by 3. So the height of the tree would be 15.

3 0

3 years ago

Can someone explain to me how to do this

Otrada [13]

Angles on a straight line add up to 180°, so:

x + 60 = 180

x = 180 - 60

x = 120°

3 0

3 years ago

Read 2 more answers

Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

$2^{k}>k$

3 0

3 years ago