Asymptote of y=3(0.8)^x

In an auditorium, the first row of seats has 30 seats. each row behind the first row has 4 more seats then the row in front of i

Alexeev081 [22]

Answer:

126

Step-by-step explanation:

Row 1: 30+0*4

Row 2: 30+1*4

Row 3: 30+2*4

...

The list goes on. Do you see a pattern here? If we call the row number as r, the formula is 30+(r-1)*4. In the 25th row, the r is 25. So in the formula, it is 30+(25-1)*4=30+24*4=126.

I hope that helped.

4 0

3 years ago

A costume designer made 10 costumes that each used 5.8 yards of fabric. If she had 238.2 yards of fabric to start with, about ho

maria [59]

180.2 10*5.8=58 .58-238.2 = 180.2

5 0

3 years ago

A train traveled at a constant rate of f feet per second. how many feet did it travel in x minutes? (a) 60f x (b) fx 60 (c) x 60

sdas [7]

Distance travelled by train in x minutes is equal to 60fx feet as per given constant rate of f feet per second.

As given in the question,

Train travelled at a constant rate f feet per second

Let d be the distance travelled by train in x minutes

1 second =f feet

60 seconds = (60f) feet

1 minute = (60f) feet

x minutes = (60fx)feet

Therefore ,distance travelled by train in x minutes is equal to 60fx feet

as per given constant rate of f feet per second.

Learn more about distance here

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8 0

1 year ago

How many solutions does the system of equations below have?

soldier1979 [14.2K]

Answer:

One solution

Step-by-step explanation:

5x + y = 8

15x + 15y = 14

Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form

So we solve for "y" in the equation "5x + y = 8"

5x + y = 8

Step 1: Subtract 5x from both sides.

5x + y − 5x = 8 − 5x

Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped

y = −5x + 8

Now we can solve using substitution:

We substitute "-5x + 8" into the equation "15x + 15y = 14" for y

So it would look like this:

15x + 15(-5x + 8) = 14

Now we just solve for x

15x + (15)(−5x) + (15)(8) = 14(Distribute)

15x − 75x + 120 = 14

(15x − 75x) + (120) = 14(Combine Like Terms)

−60x + 120 = 14

Step 2: Subtract 120 from both sides.

−60x + 120 − 120 = 14 − 120

−60x = −106

Divide both sides by -60

$\dfrac{ -60x }{ -60 } = \dfrac{ -106 }{ -60 }$

Simplify

$x = \dfrac{ 53 }{ 30 }$

Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"

$\mathrm{So\:it\:would\:look\:like\:this:\ y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}$

$\mathrm{Now\:lets\:solve\:for\:"y"\:then}$

$y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}$

$\mathrm{Express\: -5 \times \dfrac{ 53 }{ 30 }\:as\:a\:single\:fraction}$

$y = \dfrac{ -5 \times 53 }{ 30 } +8$

$\mathrm{Multiply\:-5 \:and\:53\:to\:get\:-265 }$

$y = \dfrac{ -265 }{ 30 } +8$

$\mathrm{Simplify\: \dfrac{ -265 }{ 30 } \:,by\:dividing\:both\:-265\:and\:30\:by\:5} }$

$y = \dfrac{ -265 \div 5 }{ 30 \div 5 } +8$

$\mathrm{Simplify}$

$y = - \dfrac{ 53 }{ 6 } +8$

$\mathrm{Turn\:8\:into\:a\:fraction\:that\:has\:the\:same\:denominator\:as\: - \dfrac{ 53 }{ 6 }}$

$\mathrm{Multiples\:of\:1: \:1,2,3,4,5,6}$

$\mathrm{Multiples\:of\:6: \:6,12,18,24,30,36,42,48}$

$\mathrm{Convert\:8\:to\:fraction\:\dfrac{ 48 }{ 6 }}$

$y = - \dfrac{ 53 }{ 6 } + \dfrac{ 48 }{ 6 }$

$\mathrm{Since\: - \dfrac{ 53 }{ 6 }\:have\:the\:same\:denominator\:,\:add\:them\:by\:adding\:their\:numerators}$

$y = \dfrac{ -53+48 }{ 6 }$

$\mathrm{Add\: -53 \: and\: 48\: to\: get\: -5}$

$y = - \dfrac{ 5 }{ 6 }$

$\mathrm{The\:solution\:is\:the\:ordered\:pair\:(\dfrac{ 53 }{ 30 }, - \dfrac{ 5 }{ 6 })}$

So there is only one solution to the equation.

5 0

2 years ago

(18 months). hi I'm gothy and I just needed help with this problem. you don't have to include the answer but I'd appreciate it

natulia [17]

Answer:

$93.68

Step-by-step explanation:

Price of computer:

$1486.25

Warranty

$199.99

Total

$1486.25 + $199.99 = $1686.24

Payment per month:

$1686.24/ 18 = $93.68

8 0

3 years ago