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2 years ago

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To get on the top players’ list, Don needs to have a minimum average score of 225 after playing four games. His scores on his fi

rst three games were 192, 214, and 250. What is the minimum score Don needs to earn on his fourth game? Enter your answer in the box.

2 answers:

iVinArrow [24]2 years ago

6 0

Remark

The scores of the 4 games are 192 + 214 + 250 + x

When you divide these scores by 4 you need to get 225.

Equation

$\dfrac{192 + 214+ 250+x}{4} = 225$

Solution

Add the 3 numbers together

(656 + x)/4 = 225 Multiply both sides by 4

656 + x = 225*4

656 + x = 900 Subtract 656 from both sides.

x = 900 - 656

x = 244 His 4th game has to be 244 or higher.

VikaD [51]2 years ago

3 0

244 is the correct answer

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OleMash [197]

Answer:

Eudora spent 0.5 hours from home to library and 1.5 hours from library to school

Step-by-step explanation:

Given

Home to Library:

$S_1 = 12km/h$ -- Average Speed

Library to School

$S_2 = 76km/h$ -- Average Speed

Total

$Distance = 120km$

$Time = 2\ hr$

Required

Determine the time taken from home to library and from library to school

Let the time spent from home to library be x. So, from library to school will be: 2 - x

So, we have:

Home to Library:

$S_1 = 12km/h$ -- Average Speed

$T_1 =x$ -- Time

Library to School

$S_2 = 76km/h$ -- Average Speed

$T_2 =2 - x$ -- Time

Distance is calculated as:

$Distance = Speed * Time$

Home to Library:

$D_1 = S_1 * T_1$

$D_1 = 12 * x$

$D_1 = 12x$

Library to School:

$D_2 = S_2 * T_2$

$D_2 = 76 * (2- x)$

$D_2 = 152- 76x$

The total distance is 120km. So, we have:

$120km = D_1 + D_2$

$120 = 12x + 152 - 76x$

Collect Like Terms

$120 - 152 = 12x - 76x$

$-32 = -64x$

$-64x=-32$

Solve for x

$x = \frac{-32}{-64}$

$x = 0.5$

Recall that:

$T_1 =x$

$T_2 = 2 - x$

So, we have:

$T_1 = 0.5$

$T_2 = 2 -0.5 = 1.5$

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1 year ago

"alan drives an average of 100 miles each week. his car can travel an average of 25 miles per gallon of gasoline. alan would lik

nydimaria [60]

First, list all the given information:
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*25 miles/gallon
*$4/gallon
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The easiest approach to use here is the dimensional analysis. Cancel out like units if they appear both in the numerator and denominator side. Solve first the original cost. The solution is as follows:

100 miles/week * 1 gal/25 miles * $4/gal = $16/week

The reduced cost would be:
16 - 5 = (New average miles/week) * 1 gal/25 miles * $4/gal
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2 years ago

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faust18 [17]

Speed = distance / time
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50 * 1.5 = d
75 = d

60 = d / 1.25
60 * 1.25 = d
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24 = 75 / time
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I'm going to assume this reads

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and the path $C$ is parameterized by

$\vec c(t)=8t\,\vec\imath+t^3\,\vec\jmath+e^t\,\vec k$

with $0\le t\le1$ . Under this parameterization,

$\vec F(x,y,z)=\vec F(x(t),y(t),z(t))=5e^{8t}\sin(t^3)\,\vec\imath+5e^{8t}\cos(t^3)\,\vec\jmath+7e^{2t}\,\vec k$

and

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Then in the integral,

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2 years ago

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kherson [118]

Answer with explanation:

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1. Origin (0,0)→Pole

2. x=0,y=0 becomes can be written as→ equation of polar axis,which is equal to 0.

the two curves drawn here has following line of symmetry

1. Symmetry along four lines of blade shaped curve,one along polar axis that is x=0,y=0 and two along,x=y and y=-x.

2. The curve which is in the shape of Cardioid has 1 line of symmetry that is , x=0.

The features which are present in the polar graph

Option:

A. Symmetry about the line

B. Symmetry about the polar axis = 0

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