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Answer:

215

Step-by-step explanation:

If there are 3 Playstations and the price of all of then is 645, divide 645 with 3 and you got it

We devide 645$ in 3 parts

645/3=215$

3*215$=645$

A: Each of the game systems costs 215$

Answer:

a) 115°

b) 30°

Step-by-step explanation:

∠D = ∠SPB = 35°

RS // QP      ∠C = ∠D = 35°

∠RQP + ∠RSP = 180°   ∠b = 180°-35°-35°-80° = 30°

∠a = 180° - 30° - 35° = 115°

check: ∠a = 1/2 (arc QP + arc PS) = 1/2 (160°+70°) = 115°

EXPLANATION

In order to turn -2x + 10y = 2 into slope-intercept form:

First, as we know, the generic slope-intercept form is:

y= mx + b

where m is the slope and b is the y-intercept

Going back to our equation:

-2x + 10y = 2

Adding +2x to both sides:

-2x + 2x + 10y = 2 + 2x

Adding similar terms:

10y = 2 + 2x

Dividing both sides by 10:

10y/10 = 2/10 + 2x/10

Simplifying:

y = 1/5 + x/5 --> Slope-intercept form

the answer is d I'm pretty for sure

Answer:

1 x 5 = 5

  and

200 + 200 = 400

(Hope this helps! Btw, I answered first. Brainliest please! :D)

The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer:

percent of change =0.5

Step-by-step explanation:

x1=46 x2=69

(x2-x1) / x1

69-46 = 23 / 46 = 0.5

Answer:

d

Step-by-step explanation:

It's the circle of life yeah yeah and it moves us all.

Answer:

answer #n

Step-by-step explanation:

we cant see the options

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lines l and m are the parallel lines and 't' is a transversal line,

Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]

∠5 ≅ ∠7 [Vertical angles theorem]

∠1 ≅ ∠7 [Transitive property]

Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]

Answer:

let length of Ribbon B l

Therefore

L=30

Ribbons cutted in ratio 5 is to 3

Therefore length of ribbonS

Be 30*5

=150

And 3*30=90

Therefore lengths of ribbons be 150 and 90

hope this helps :)

have a great day ahead!

The economist would need a total sample size of 3,792 individuals for a 95% confidence interval with an interval width of no more than $100.

To calculate the required sample size, we can use the formula:

n = [(Z * σ) / E]^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (for a 95% confidence level, Z ≈ 1.96)

σ is the population standard deviation ($1,000 in this case)

E is the desired margin of error ($100 in this case)

Plugging in the values, we have:

n = [(1.96 * 1000) / 100]^2 = 3841.44

Since we can't have a fraction of a sample, we round up to the nearest whole number, resulting in a required sample size of 3,842.

However, since the economist already has a sample of 50 individuals, they would need an additional sample size of 3,842 - 50 = 3,792 to meet the desired criteria.

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a. The clusters are represented by option A: 1-10, 11–20, 21–30, 31-50.

b. If clusters #1 and #3 are selected, then the sample would consist of members 1-10, 21-30, for a total of 20 members.

For part a:

The clusters are created by dividing the population into equal-sized groups, and in this case, each cluster contains 10 members. Therefore, the clusters are represented by option A: 1-10, 11–20, 21–30, 31-50.

For part b:

Suppose that clusters #1 and #3 are selected, which means that the first and the third group (1-10, 21-30) are selected as the sample. The members of these two clusters make up the sample, which consists of members 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30. The sample size is 20 members.

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Answer:

listen there is a lack of information the information you give isn't enough

The correct answer is Team B won by 1.1 points.

To determine which team won the competition, we need to calculate the final scores for both Team A and Team B based on the given weights for each category and the points they received in each category.

For Team A:

- Time to complete (75% of 15 points) = 0.75 * 15 = 11.25 points

- Design (15% of 9 points) = 0.15 * 9 = 1.35 points

- Total cost (10% of 14 points) = 0.10 * 14 = 1.4 points

Total score for Team A = 11.25 + 1.35 + 1.4 = 14 points

For Team B:

- Time to complete (75% of 17 points) = 0.75 * 17 = 12.75 points

- Design (15% of 7 points) = 0.15 * 7 = 1.05 points

- Total cost (10% of 13 points) = 0.10 * 13 = 1.3 points

Total score for Team B = 12.75 + 1.05 + 1.3 = 15.1 points

Now, we compare the total scores of both teams. Team A has a total score of 14 points, while Team B has a total score of 15.1 points. Therefore, Team B won by 1.1 points.

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The calculated depth of the well in feet is 402.5 feet

From the question, we have the following parameters that can be used in our computation:

Time, t = 5 seconds

The depth of the well in feet is calculated as

d = 1/2gt²

substitute the known values in the above equation, so, we have the following representation

d = 1/2 * 32.2 * 5²

Evaluate

d = 402.5

Hence, the depth is 402.5 feet

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The required average speed of the train is calculated to be 60 mph, when the train travels certain distance and stops.  

Distance between station A and station B is given as 120 miles.

A train traveling from station A to station B travels exactly 1/3rd of the distance when it is held up and stops for 16 minutes.

Let, its average speed was x mph.

Then, total time taken if it didn't stop = 120/x h

Now, before stop it took time = ( 1/3 × 120)/x h = (40/x) h

After stop the time it took = 80/(x + 15) h

i.e, 40/x + 16/60 + 80/(x+15) = 120/x  

⇒ 80/(x + 15) + 8/30 = 80/x

⇒ 80(1/x - 1/(x + 15)) = 8/30

⇒ 10 × (15/x² + 15x) = 1/30

⇒ x² + 15x = 10 × 15 × 30

⇒ x² +15x - 450 = 0

⇒ x² +75x -60x - 450 = 0

⇒ (x+75)(x-60) = 0

⇒ x = 60 or, x = -75

As speed cannot be negative, the average speed is 60 mph.

The given question is incomplete. The complete question is 'Find the average speed of the train before it stopped for 16 minutes.'

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Answer:

1 4/10 tenths

Solution:

Divide the numbers 7 & 5. You should get 1.4.

1.4 = 1 4/10

Therfore, the answer is 1 4/10 tenths.

\( \large \mathfrak{Solution : }\)

Degree of a polynomial is the highest exponential power in the expression.

i.e 9 here

so, degree of the given expression is 9

Answer:

V = 113 degrees

Step-by-step explanation:

a triangle is 180 degrees so subtract the two numbers from 180

Answer:

Step-by-step explanation:

I assume the triangle is right angled

Answer:

-12

Step-by-step explanation:

107.85-95.65= -12.20 and round off to -12

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

Nearest Whole Number: 9

Step-by-step explanation:

Answer:

im guessing it would just be 9

Step-by-step explanation:

because its 1 out of three so that leaves two so its closest to 9

The approximate number of fleas she should expect to remove from the cats on Day 14 is 1

The given parameters are

Function type: exponential function

Day 0 = 87

Day 6 = 14

An exponential function is represented as

y = ab^x

Where

y = a, when x = 0

This means that a = 87

So, we have

y = 87b^x

Day 6 = 14 means that

When x = 6, y = 14

So, we have

87b^6 = 14

This gives

b^6 = 0.161

Take the 6th roots of both sides

So, we have

b = 0.74

Subsitute b = 0.74 in y = 87b^x

y = 87(0.74)^x

On day 14, we have

y = 87(0.74)^14

Evaluate

y = 1.28

Approximate

y = 1

Hence, the approximate number of fleas she should expect to remove from the cats on Day 14 is 1

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Answer:

Step-by-step explanation:

Answer:

a² + b² = c²

it is used to find a missing side in a right angled triangle

Answer:

in mathematics pythagoras is a fundamental relation in euclidean geometry among the three side of a right triangle