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3 years ago

Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3

Mathematics

1 answer:

gladu [14]3 years ago

4 0

Answer:

$5 per adult and $3 per kid

Step-by-step explanation:

5x10=50

3x3=9

50+9=59

4x5=20

3x3=9

20+9=29

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One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

6 0

3 years ago

Choose the Δ that seems to be congruent to the given one. [D - top left] [C - top right] [E - center] [A - bottom left] [B - bot

neonofarm [45]

Answer:

Δ BEC ≅ Δ AED

Step-by-step explanation:

Consider triangles BCA and ADB. Each of them share a common side, AB. Respectively each we should be able to tell that AD is congruent to BC, and DB is congruent to CA, so by SSS the triangles should be congruent.

_________

So another possibility is triangles BEC, and AED. As you can see, by the Vertical Angles Theorem m∠BEC = m∠ADE, resulting in the congruency of an angle, rather a side. As mentioned before AD is congruent to BC, and perhaps another side is congruent to another in the same triangle. It should be then, by SSA that the triangles are congruent - but that is not an option. SSA does is one of the exceptions, a rule that is not permitted to make the triangles congruent. Therefore, it is highly unlikely that triangles BEC and AED are congruent, but that is what our solution, comparative to the rest.

Δ BEC ≅ Δ AED .... this is our solution

7 0

3 years ago

On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 h

shepuryov [24]

Answer:

(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr

The rule for division of fractions is: invert the denominator and multiply.

3 0

3 years ago

Dominick’s unpaid credit card balance was $2103.24. His APR is 14.4%.

Hatshy [7]

New balance=previous balance+finance charge+New transaction

First we need to calculate the finance charge in order to find the new balance

Finance charge=2,103.24×(0.144÷12 months)
=25.24

New balance
2,103.24+25.24+280
=2,408.48

Hope it helps!

4 0

3 years ago

What is the end behavior of the function f(x) = 3x4−x3 + 2x2 + 4x + 5? (1 point)

ELEN [110]

Answer: both the left and right sides go to +∞

Step-by-step explanation:

End behavior can be determined by two things:

Sign of the leading coefficient
Degree of the function

Sign of leading coefficient:

positive: right side goes to +∞

negative: right side goes to -∞

⇒ Leading coefficient of this function is 3 so the right side goes to +∞

Degree (exponent of leading coefficient):

even: both the left and right sides point in the SAME direction

odd: the left and right sides point in OPPOSITE directions

⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.

8 0

3 years ago