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2 years ago

Solve 18z = 72 algebraically. Then, check your answer.

Mathematics

1 answer:

Alik [6]2 years ago

6 0

Answer:

z = 4

Step-by-step explanation:

18z = 72 (First divide by 18 to isolate z, the exponent)

z = 4

To check our answer, lets plug 4 back into the equation

18(4)

72 = 72

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Anna11 [10]

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2 years ago

The product of what number and 7 is less than 49?

vredina [299]

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2 years ago

1. Simplify .<br>* a) (x - 1)(x2 + x + 1)

tangare [24]

Answer:

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Step-by-step explanation:

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2 years ago

The two legs (labeled x) of the right triangle below have equal length. If the hypotenuse has length 5√2 , solve for x.

leonid [27]

Answer:

x=5

Step-by-step explanation:

Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.

Since the two legs have equal length, they are both x. Using the pythagorean theorem:

(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).

You can add (x^2) and (x^2) because they are the same terms (x squared).

Simplifying like so gives you:

2x^2=50

Dividing by two on both sides:

x^2=25

Taking the square root of both sides:

x=5

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3 years ago

Please Help fast!!!!! I'll give 30 pts.!

Zinaida [17]

The best buy is from dealership B because dealership B has a lesser base price

<h3>The add-on options</h3>

For the purpose of this exercise, the add-on options to select are:

Sunroof
Keyless entry

<h3>Dealership A</h3>

The total amount of the add-on options is:

Total = $500 + $1500

Total = $2000

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x ≤ 17248.44

Divide both sides by (1 + 6.75%)

x ≤ 16157.79

The solution means that the base price of the car cannot exceed $16157.78 for dealership A

<u>The graph of the possible base price</u>

See attachment

<h3>Dealership B</h3>

The total amount of the add-on options is:

Total = $750 + $1000

Total = $1750

<u>The inequality</u>

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

<u>Solve for x</u>

We have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x ≤ 16725.28

Divide both sides by (1 + 6.75%)

x ≤ 15667.71

The solution means that the base price of the car cannot exceed $15667.71 for dealership B

<u>The graph of the possible base price</u>

See attachment

<h3>Where to buy from</h3>

Buy from dealership B because dealership B has a lesser base price