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3 years ago

Solve 7n + 4 < 9n – 3.

Mathematics

2 answers:

Genrish500 [490]3 years ago

7 0

Answer:

Option D, n > 3.5

Step-by-step explanation:

Step 1: Solve for n

7n + 4 + 3 - 7n < 9n – 3 + 3 - 7n

7 / 2 < 2n / 2

3.5 < n

n > 3.5

Answer: Option D, n > 3.5

AfilCa [17]3 years ago

5 0

Than you would subtract 7n off both sides and get. 4<2n-3.
Next you would add 3 to each sides and get. 7<2n. Last you divide 2 on both side cause whatever you do to one side you do to the other. And you left with 3.53.5

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Three consecutive integers can be represented by the variable n, n+1 and n+2. If the sum of three consecutive integers is 57, wh

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You have some unknown integer $n$ , and you know that adding this and the next two integers, $n+1$ and $n+2$ , gives a total of 57.

This means

$n+(n+1)+(n+2)=57$

The task is to find all three unknown integers. Notice that if you know the value of $n$ , then you pretty much know the value of the other three integers.

To find $n$ , solve the equation above:

$n+(n+1)+(n+2)=3n+3=57\implies 3n=54\implies n=\dfrac{54}3=18$

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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Choose the correct simplification of the expression (-9a^3b^2c^10)^0

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Option C: 1 is the simplification of the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

Explanation:

The given expression is $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

We need to simplify the given expression.

Simplification:

To simplify the given expression, let us apply the exponent rule, $a^{0}=1$ where $a \neq 0$

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Thus, the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$ becomes,

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3 years ago

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma

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Answer:

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Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

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= (3 * 6) / (4 * 1)

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3 years ago