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3 years ago

-6 EX=0

Mathematics

1 answer:

SpyIntel [72]3 years ago

7 0

Answer:

Step-by-step explanation:

a = adult cost

c = child cost

a = c + $3

200a + 100c =$2100

^ each # of tickets sold

200(c+3) + 100c =$2100

200c + 600 + 100 c = 2100 combine like terms

300c + 600 = 2100 need variable only on one side of equal sign so you subtract 600 from each side of the = sign

300c = 1500 now divide by 300 on both sides to isolate variable

c = $5

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Find the measure of ∠X

AVprozaik [17]

Answer:

7) 65°
8) 25°

Step-by-step explanation:

Question 7

Angle formed by 2 chords is half of the sum of the intercepted arcs

x = 1/2(72° + 58°) = 1/2(130°) = 65°

Question 8

Angle formed by 2 secants is half of the difference of the intercepted arcs

x = 1/2(360° - (130° + 98° + 41°) - 41°) = 1/2(50°) = 25°

3 0

3 years ago

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

8 0

3 years ago

Given this table of values, what is the value of f(-4.5) ? help pelase !!

True [87]

Answer:

12.6

Step-by-step explanation:

f(-4.5) means "what is the y-value when x equals -4.5?"

We see that when x = -4.5, our y or f(x) value is 12.6

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3 years ago

A football team lost 5 yards on each of 3 plays. Explain how you could use a number line to find the team's change in field posi

taurus [48]

Answer:

Step-by-step explanation:

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3 years ago

The first term of a sequence is 13. The term-to-term rule is 'take away 5.'. Work out the 4th term.

BARSIC [14]

The answers are: 13, 8, 3, -2.
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3 years ago

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