alan participated ina car race in which he had to cover a distance of at least 50 kilometers. he had fuel in his car for a maximum distance of 53 kilometers. if the distance is given by S (t) = 3t + 47, where t is the time in hours, find the minimum and maximum number of hours for which alan can drive his car.

Answers

Answer 1

Answer: This problem has more holes than swiss cheese.

ASSUME that the time he drives only depends on the distance he covers,
and has nothing to do with his speed or how he drives.

The race rules say he has to cover at least 50 km,
so the minimum time he can drive is the solution to
[ 50 = 3t + 47 ]
Subtract 47 from each side:
3 = 3t
Divide each side by 3 :
1 = t minimum

He has fuel for exactly 53 km, so the maximum time
he can drive is the solution to
[ 53 = 3t + 47 ]
Subtract 47 from each side :
6 = 3t
Divide each side by 3 :
2 = tmaximum

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Write an expression that is equivalent to 5(t+3) .

Answers

Answer: 5t+15

Step-by-step explanation: Distribute the 5 into the parenthesis.

5 x t = 5t

5 x 3 = 15

You will get 5t +15.

Answer: 5t+15

This is equivalent to 5t+5*3

To get the answer, you multiply the outer term 5 by each term inside

5 times t = 5*t = 5t

5 times 3 = 5*3 = 15

Then you add up those products to get 5t+15.

This is using the distributive property.

Round 14494 to the nearest thousand feet

Answers

14,000 because 494 would round down since it is not above 500.

I can’t figure out how to solve this, can someone help? 5m-12=m

Answers

Answer:

m = 3

Step-by-step explanation:

5m - 12 = m

subtract 5m from both sides

5m - 5m - 12 = m - 5m

simplify

-12 = -4m

divide both sides by -4

-12 / -4 = -4m / 4

simplify

3 = m

hope this helps :)

In a secured loan, collateral is _____.

Answers

Step-by-step explanation:

In a secured loan, collateral is the security that is kept against the failure of paying off the loan payment from the side of borrowers.

That means if the borrowers is not able to pay off the loan in future due to some circumstances, then the lender will use his collateral as a valuable property and his property becomes the property of lender of the same amount of the loan.

In a secured loan, collateral is valuable property that the borrower promises to give the lender in the event of default on the loan.

A collateral loan is a type of secured loan requiring a borrower to pledge an asset to avail of the loan. The asset, called a 'collateral,' is liquidated by the lender in case the borrower defaults. On the other hand, unsecured loans do not require the borrower to pledge collateral.

In a secured loan, collateral is the security that is kept against the failure of paying off the loan payment from the side of borrowers.

That means if the borrowers is not able to pay off the loan in future due to some circumstances, then the lender will use his collateral as a valuable property and his property becomes the property of lender of the same amount of the loan.

Hence, in a secured loan, collateral is valuable property that the borrower promises to give the lender in the event of default on the loan.

Learn more about the secured loan here:

brainly.com/question/17077155.

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The graph of the linear equation 3x + 5y
= 15 cuts the x-axis at the point ________.

Answers

Answer:

(0,5)

Step-by-step explanation:

3x-5y=15

Plug in 0 for y, because we are trying to find the value of x, when y is 0

so, 3x-5(0)=15

3x=15 Divide both sides by 3

x=5

so the answer in coordinate form is (0,5)

Find the greatest common factor of the following monomials: 20a3 and 8a2

Answers

GCF of given monomials are $4a^2$

Solution:

Given that we have to find the greatest common factor

Given monomials are:

$20a^3 \text{ and } 8a^2$

When we find all the factors of two or more numbers, and some factors are the same, then the largest of those common factors is the Greatest Common Factor

Let us first find the GCF of 20 and 8 and then find GCF of variables and then multiply them together

GCF of 20 and 8:

The factors of 8 are: 1, 2, 4, 8

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

$GCF\ of\ a^3 \text{ and } a^2\n\na^3 = a^2 * a\n\na^2 = a^2$