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jeyben [28]
3 years ago
14

The point

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
I don’t know the answer to this but I am working on it right now
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A giraffe runs at a rate of 32 miles per hour. Which equation models the situation? h = time spent running, in hours d = distanc
vredina [299]

The answer is A, I took the test.

7 0
3 years ago
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When a number is decreased by 45%, the result is 9. What is the original number to the nearest tenth?
Paul [167]

Answer:

16.4

Step-by-step explanation:

To decrease a number by 45% of its value, you subtract the 45%. To get 45%, you multiply the number by 0.45.

So, if x is the original number, then the equation for this word problem would be x - 0.45x = 9.

To solve, we first subtract 0.45x from x, which is 0.55x. This means that 0.55x is equal to 9. To simplify, we can divide both sides by 0.55. 9/0.55 is 16.36363636..., etc. The nearest tenth would be 0.4, so your answer is 16.4

3 0
3 years ago
Find the sum of the geometric series for which a = 160, r = 0.5, and n = 6.
harina [27]

\\ \sf\longmapsto S_n=\dfrac{a(1-r^n)}{1-r}

\\ \sf\longmapsto S_n=\dfrac{160(1-0.5^6)}{1-0.5}

\\ \sf\longmapsto S_n=\dfrac{160(1-0.015625)}{0.5}

\\ \sf\longmapsto S_n=\dfrac{160(0.984378)}{0.5}

\\ \sf\longmapsto S_n=80(0.984378)

\\ \sf\longmapsto S_n=78.75

6 0
3 years ago
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A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo
lidiya [134]

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

7 0
3 years ago
Can someone explain how to do this? thank you
ella [17]

Answer:

В (50°)

Step-by-step explanation:

m∠XWY=180-95=85°

x=180-(m∠XWY+m∠XYW)=180-(85+45)=50°

7 0
3 years ago
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