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Annette [7]
3 years ago
9

Omar has a new credit card. He earns 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how m

uch money did he spend?
Mathematics
2 answers:
vazorg [7]3 years ago
6 0

Answer:

He earned 1800 reward points for 600 dollars

Step-by-step explanation:

Given the statement: Omar has a new credit card. He earns 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points.

Unit rate are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.

Earn  300 reward point for every 100 dollars.

⇒ unit rate per reward = \frac{100}{300} dollars

we have to find how many dollars he earned for 1800 points.

Number of dollars = unit rate \times 1800

                                 = \frac{100}{300} \times 1800 = 600

Therefore, he earned 1800 reward points for 600 dollars

Cerrena [4.2K]3 years ago
5 0

Answer:

$600 money Omar spends .

Step-by-step explanation:

As given

Omar has a new credit card.

He earns 300 reward points for every 100 dollars he spends.

i.e

300 reward points for every 100 dollars .

Let  us assume that the Omar earned 1800 reward points when he spends x money.

Than the equation becomes

x = \frac{1800\times 100}{300}

x = \frac{1800}{3}

x = $600

Therefore $600 money Omar spends .



   



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Help me with these math questions.
Olegator [25]

graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: \frac{150}{31}

<u>Step by step explanation:</u>

log₆(5x + 6) - log₆(x - 4) = 2

log₆(\frac{5x+6}{x-4}) = 2

(\frac{5x+6}{x-4}) = 6²

(\frac{5x+6}{x-4}) = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

       6 = 31x - 144

    150 = 31x

     \frac{150}{31} = x

**********************************************************

Answers:

  • a. (-1, -5)
  • b. up
  • c. x = -1
  • d. \frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}
  • e. -2
  • f. see attachment
  • g. domain (-∞, ∞)  range [-5, ∞)

<u>Explanation:</u>

f(x) = 3x² + 6x - 2

      a=3  b=6 c=-2

x = \frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

       = 3 - 6 - 2

       = -5

Vertex: (-1, -5)

x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

  = \frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}

  = \frac{-6+/-\sqrt{36+24}}{6}

  = \frac{-6+/-\sqrt{60}}{6}

  = \frac{-6+/-2\sqrt{15}}{6}

  = \frac{-2+/-\sqrt{15}}{3}

x-intercepts: \frac{-2+/-\sqrt{15}}{3}



6 0
3 years ago
Please help need answer!
never [62]

Answer:  About 513 feet

A more accurate value is roughly 512.575960394824

==============================================================

Explanation:

With many trig problems, a diagram should help steer you in the right direction. See below.

The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.

The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).

The lighthouse is 250 ft tall, meaning AB = 250

We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.

We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.

-------------------

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(64) = x/250

250*tan(64) = x

x = 250*tan(64)

x = 512.575960394824

x = 513

The distance from B to C is roughly 513 feet.

I'm rounding to the nearest whole number because the other values given to you are whole numbers.

7 0
3 years ago
Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
Bas_tet [7]

Answer:

1

Step-by-step explanation:

A third of 3=1

3/3=1

6 0
3 years ago
Which are correct representations of the inequality –3(2x – 5) &lt; 5(2 – x)? Select two options.
chubhunter [2.5K]

The correct statements are options C and option D.

  • - 6x + 15 < 10 - 5x ⇒ 3rd answer
  • An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
<h3 /><h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

The inequality is -3(2x - 5) < 5(2 - x)

At first, simplify each side

-3(2x - 5) = -3(2x) + -3(-5)

Remember (-)(-) = (+)

-3(2x - 5) = - 6x + 15

5(2 - x) = 5(2) + 5(-x)

Remember (+)(-) = (-)

5(2 - x) = 10 - 5x

- 6x + 15 < 10 - 5x

Subtract 15 from both sides

- 6x < -5 - 5x

Add 5x to both sides

- x < - 5

Remember the coefficient of x is negative, then when you divide both sides by it you must reverse the sign of inequality

The coefficient of x is -1

Divide both sides by -1

x > 5

Therefore the correct statements are options C and option D.

  • - 6x + 15 < 10 - 5x ⇒ 3rd answer
  • An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

To know more about inequality follow

brainly.com/question/24372553

#SPJ1

4 0
2 years ago
Whats the radius of a sphere if its volume is 1928pi
mojhsa [17]

Answer:

Cube root of 1446

Step-by-step explanation:

The formula for the volume of a sphere is \frac{4}{3} \pi r^3. Therefore, if we divide 1928pi by 4/3pi and then take the cube root, you will find the radius. In this case, 1928pi/(4pi/3)=1446, meaning that the radius is the cube root of 1446. Hope this helps!

7 0
3 years ago
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