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zhenek [66]
3 years ago
9

The distance formula is d = rt. A trip of 92 miles traveled at 65 mph will take 1.35 hours.

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

65 * 1.35 = 87.75

87.75 does not equal 92
 so this is False
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Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
zloy xaker [14]
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.

"Four times..." means we're multiplying something by 4.

"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.

"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.

So, the resulting inequality is 4(x + 15) ≤ 120.

Simplify the inequality.

4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4

Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.

In interval notation it would look something like this:

[15, ∞)

In set builder notation it would look something like this:

{x | x ∈ R, x ≤ 15}

It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
7 0
3 years ago
Paul is 20 years old. He is four times older than his sister.
attashe74 [19]

Answer: Paul will be 30 years old

Step-by-step explanation:Let the age of her sister be x, then from the given data

=> 4x = 20

=> x = 5 years

The age of her sister is 5 years

In the second case, paul is twice as old as his sister

=> Age of paul = 2(x)

=> Age of paul = 10 years

Paul will be 10 years old when he is twice as old as his sister

3 0
1 year ago
Read 2 more answers
Include step by step directions MAKE SURE ITS CORRECT
Yuliya22 [10]

Answer:56

Step-by-step explanation:do 180-68, then divide by 2(because the x angles are equal to each other.

7 0
3 years ago
What equation would you use to solve for x?
Brut [27]
I think you would use the equation 2x+1+33+90=180
3 0
2 years ago
A ski hat is priced at 19.50 and a pair of ski boots are priced at 85.50. If the sales tax rate is 7%, then what is the total co
m_a_m_a [10]

Answer:

The total cost of the ski hat and the ski boots is $112.35.

Step-by-step explanation:

First, we need to add the prices of the ski hat and the ski boots.

85.50 + 19.50 = $105

Now, we need to find 7% of $105, and then add it to the total.

105 x 0.07 = $7.35

105 + 7.35 = $112.35

Therefore, the total cost of the ski hat and the ski boots is $112.35.

Let me know if this helps!

3 0
2 years ago
Read 2 more answers
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