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3 years ago

Alex pays $8 admission to the county fair and spends $8 on lunch. He buys some ride tickets for $2 each.

2 answers:

8 0

How did the equation 2t + 16 ≤ 30 came about?

The left side of the equation, 2t + 16, represents Alex's expenses. 16 stands for the admission and lunch ( 8+8 = 16) and 2t stands for 't' tickets times 2, since each costs $2. The right side of the equation is the limit expense which is equal to 30. Lastly, the inequality stands for 'less than or equal to'. Solving the equation,

2t </= 30 - 16
2t </= 14
t </= 7

This means that Alex should only get less than or equal to 7 tickets. Particularly, Alex is only limited to 7 tickets. The answer is letter B.

Archy [21]3 years ago

7 0

Answer: at most 7 tickets

Step-by-step explanation:

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This timeframe shows 5+8 Draw to make 10. then write the new fact

snow_lady [41]

13 you add both of the factors

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3 years ago

Find the area of an octagon whose perimeter is 120 cm.

stira [4]

Answer:

The area of an octagon whose perimeter is 120 cm is 1086.4 $cm^{2}$

Step-by-step explanation:

An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.

There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.

The perimeter of an Octagon is given by

$P=8a$

and the area of an Octagon is given by

$A=2a^{2}(1+\sqrt{2})$

We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

$120=8a\\\frac{8a}{8}=\frac{120}{8}\\a=15$

Now, we calculate the area

$A=2a^{2}(1+\sqrt{2})\\A=2(15)^{2}(1+\sqrt{2})\\A=450\left(1+\sqrt{2}\right)\\A\approx 1086.4 \:cm^{2}$

5 0

3 years ago

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the instanteous rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at exactly t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

2 years ago

a 5th grade volleyball team scored 32 points in one game. of those points 2/8 were scored in the second half. how many points we

Degger [83]

Answer:

Number of points scored in the first half of the match is 24 points.

Step-by-step explanation:

Total point scored in the volleyball game = 32

Let us assume the points scored in the first half = m

and the point scored on the second half = 2/8 of (Total points)

= $\frac{2}{8} \times 32 = 8$

⇒ The number of points s cored in the second - half = 8 points

Now, Points in FIRST half+ Points in SECOND half= Total Points

⇒ m+ 8 = 32

or, m = 32 - 8 = 24

⇒ m = 24

Hence, the number of points scored in the first half is 24 points.

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3 years ago

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jarptica [38.1K]

87 and 93
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74 and 106

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2 years ago