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Goryan [66]
3 years ago
11

Your​ school's talent show will feature 16 solo acts and 2 ensemble acts. The show will last 104 minutes. The 8 solo performers

judged best will give a repeat performance at a second 64  minute​ show, which will also feature the 2 ensemble acts. Each solo act lasts x​ minutes, and each ensemble act lasts y minutes. Use this information to answer parts ​(a) and ​(b).
Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

Solo Act lasted for 6 mins and ensemble acts lasted for 15 mins.

Step-by-step explanation:

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The inequality of the graph
fiasKO [112]

Answer:

\displaystyle y > 4x - 2

Step-by-step explanation:

Starting from the y-intercept of \displaystyle [0, -2],you do \displaystyle \frac{rise}{run}by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

<em>Greater</em><em> </em><em>than</em>

\displaystyle 0 > 4[0] - 2 → 0 > -2☑

<em>Less</em><em> </em><em>than</em><em> </em>

\displaystyle 0 < 4[0] - 2 → 0 ≮ -2

This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:

\displaystyle y > 4x - 2

I am joyous to assist you anytime.

3 0
3 years ago
Using the technique in the model above, find the missing sides in this 30° 600-90 right triangle.longShort 7Hypotenuse3.571314
dalvyx [7]
The answer to this is 14. To find the hypotenuse from the short do 2S, and for Short to Long it is S Root 3. 

Hope this helped! Please Mark as Brainliest!
3 0
3 years ago
which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?
lianna [129]

Answer is the second graph

The more payments you pay, the less money you owe.

4 0
3 years ago
Read 2 more answers
If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,
jenyasd209 [6]

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

Q_d = 48 - 9P

Q_s = 12 + 6P

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

Q_d = Q_s

This gives:

48 -9P = 12 + 6P

Collect Like Terms

-9P - 6P = 12 - 48

-15P = -36

Solve for P

P = \frac{-36}{-15}

P =2.4

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

Q_d = 48 - 9P

Q_d = 48 - 9 * 2.4

Q_d = 26.4

<em>Hence, the equilibrium quantity is 26.4</em>

7 0
3 years ago
What is the slope intercept form of the equation 2y+3x=-8
antoniya [11.8K]

Answer:

y=-1.5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Bring x over to the other side

2y=-8-3x

divide by 2

y=-4-1.5x

y=-1.5x-4 should be your equation in slope-intercept form

8 0
2 years ago
Read 2 more answers
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