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3 years ago

The sum of two consecutive mile markers on the interstate is 417417. Find the numbers on the markers

Mathematics

1 answer:

noname [10]3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

The first marker is labeled 208708; the second (consecutive) one 208709

Discussion:

Call the first mile marker "m". Then

m + (m+1) = 417417 => combine like terms

2m + 1 = 417417 => subtract 1 from both sides

2m = 417416 => divide both sides by 2

m = 417416/2 = 208708

Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.

Thank you,

MrB

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what is the quotient (65y3 15y2 − 25y) ÷ 5y? a. 13y2 3y − 5 b. 13y3 3y2 − 5y c. 13y2 − 3y 5 d.13y2 − 3y − 5

Aneli [31]

Keywords:

Division, quotient, polynomial, monomial

For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.

By definition, if we have a division of the form: $\frac {a} {b} = c$ , the quotient is given by "c".

We have the following polynomial:

$65y ^ 3 + 15y ^ 2 - 25y$ that must be divided between monomy $5y$ , then:

$C (y)$ represents the quotient of the division:

$C (y) = \frac {65y ^ 3 + 15y ^ 2 - 25y} {5y}$

$C (y) = \frac {65y ^ 3} {5y} + \frac {15y ^ 2} {5y} - \frac {25y} {5y}$

$C (y) = 13y ^ 2 + 3y-5$

Thus, the quotient of the division between the polynomial and the monomial is given by:

$C (y) = 13y ^ 2 + 3y-5$

Answer:

The quotient is: $C (y) = 13y ^ 2 + 3y-5$

Option: A

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3 years ago

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Answer:

√2 + x

Step-by-step explanation:

To obtain the hypotenus, h:

Using Pythagoras rule :

h² = opposite² + Adjacent²

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Adjacent= x

h² = (√2)² + x²

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lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

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The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

Verify each statement

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The statement is false

Because

we know that

The original dimensions of the rectangle are

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The statement is false

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Because

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