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2 years ago

HURRY. NEED To be done by 10:30

Mathematics

2 answers:

Zepler [3.9K]2 years ago

7 0

Answer:

B) $822

Step-by-step explanation:

The total amount of money she spent can be found by adding her expenses:

312 + 287 + 112 + 111

Once added you get the total amount of:

$822

aleksley [76]2 years ago

5 0

Answer:

The answer is B.

Step-by-step explanation:

312+287=599

599+112=711

711+111=822

Option B is $822, so option B is the answer.

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Solve the following inequality: 10t + 7 , 200 > 21 , 000

Alla [95]

Answer:

t > 1380

Step-by-step explanation:

Subtract 7200 from both sides

10t + 7200 - 7200 > 21000 - 7200

Simplify

10t > 13800

Divide both sides by 10

10t/10 > 13800/10

Simplify

t > 1380

4 0

3 years ago

CAN YALL HELPP PLZZZZ!!!!!!!

Nikolay [14]

Answer:

D) 2p+14/p

Step-by-step explanation:

6 0

3 years ago

Question 2 (1 point)

Papessa [141]

Answer:

55.734 mph

Step-by-step explanation:

Let's call the wind speed x and the time of flight t.

Then, we can write the following equation, knowing that the distance is equal speed times time of flight:

910 = (350+x) * t

660 = (350-x) * t

If we isolate t in both equations and compare its value, we have that:

910 / (350+x) = 660 / (350-x)

(350+x)/(350-x) = 910/660

350 + x = 1.3788 * (350-x)

350 + x = 482.58 - 1.3788x

2.3788x = 132.58

x = 55.734 mph

4 0

3 years ago

Find the radius of circle if AB = 24 and OC = 5

Likurg_2 [28]

Answer:

Step-by-step explanation:

Since OCB forms a right triangle, you can find the length of side OB and therefore the radius by simply using the pythagorean theorem. The first step is to note that, since AB=24 and OC bisects that, that both CB and AC have length 12. Therefore, the radius is $BO=\sqrt{12^2+5^2}=13$ . Hope this helps!

8 0

3 years ago

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

2 years ago