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3 years ago

Q3

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer: 240 birds are blue

Step-by-step explanation:

Takes 35 x 2=70 so 20 x 35 is 700 then do 12 x 20 and your answer is 240

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◆ Quadratic Equations ◆<br>Please help !

Mila [183]

I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

$\sf ax^2+(1-a(b+c))x+abc-d)$

$\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))$

Simplify into standard form:

$\sf x^2+(1-1(5))x+6-4$

$\sf x^2+(1-5)x+2$

$\sf x^2-4x+2$

Use the quadratic formula to solve:

$\sf x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

For functions in the form of $\sf ax^2+bx+c$ . So in this case:

a = 1
b = -4
c = 2

Plug them in:

$\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}$

Solve for 'x':

$\sf x=\dfrac{4\pm\sqrt{16-8}}{2}$

$\sf x=\dfrac{4\pm\sqrt{8}}{2}$

$\sf x\approx\dfrac{4\pm 2.83}{2}$

$\sf x\approx 0.59,3.41$

So the answer would be A.

3 0

3 years ago

Simplify each expression

joja [24]

Answer:

14y

10x

8x+4

6x+6

8x+4

8 0

3 years ago

Point P is the center of the circle below. What is the exact area

igor_vitrenko [27]

Answer:

$Area =192\pi$

Step-by-step explanation:

Given

$\theta = 120^o$

$r =24$

Required

The area of the shaded sector

This is calculated as:

$Area =\frac{\theta}{360} * \pi r^2$

This gives

$Area =\frac{!20}{360} * \pi *24^2$

$Area =\frac{1}{3} * \pi *576$

$Area =\pi *192$

$Area =192\pi$

6 0

3 years ago

Jana And Jordan had 23 oranges Jana had 7 fewer oranges than Jordan how many oranges did each girl have

Solnce55 [7]

Answer:

Jana had 8 oranges, and Jordan had 15 oranges.

Step-by-step explanation:

First, identify what you know:

1) In total, Jana and Jordan had 23 oranges.

2) Jana had 7 less oranges than Jordan.

We can create a formula, where x equals the number of oranges Jana has.

23 = x + (x + 7)

16 = x + x (subtracted 7 from both sides)

x = 8 (divided both sides by 2)

So, now we know Jana had 8 oranges, which is 7 less than Jordan.

8 + 7 = ?

? = 15

Jana had 8 oranges, while Jordan had 15, for a total of 23 oranges.

3 0

3 years ago

Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi

Marianna [84]

You must find the relative rates of both workers...

T=f/3 and J=f/2 so if they work together to clear the field then:

ft/3+ft/2=f make all terms have a common denominator of 6

(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f

2ft/6+3ft/6=6f/6 multiply both sides by 6

2ft+3ft=6f divide both sides by f

2t+3t=6 combine like terms on left side

5t=6 divide both sides by 5

t=6/5 hr

t=1 1/5 hr

t=1 hr 12 min

8 0

3 years ago