Divide.
-10/25 8/10
What is the quotient?
Enter your answer as a simplified fraction in the box.

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

B1: 3

B2: 3

B3: 6

B4: +5

B5: +5

B6: 11

Given:

Distance between 2 floors = 9 feet and 1/2 inch

Let's convert 9 feet and to inches:

1 foot = 12 inches

9 feet = 12 inches * 9 = 108 inches

Now add 108 inches to the 1/2 inches:

108 + 1/2 = 108½ inches

Since 14 risers are to be used in a set of stairs, the height of each riser would be:

Therefore, height of each riser = 7.75 inches

Given info:- Find the remainder when x^5 - 3x^3 + x - 5 is divided by x - 2

Solution:-

Given,

p(x) = x^5 - 3x^3 + x - 5 , g(x) = x - 2

Let g(x) = x-2 will be the factor of p(x) if p(2) = 0.

Now, p(x) = x^5 - 3x^3 + x - 5

p(2) = (2)^5 - 3(2)^3 + 2 - 5

= (2*2*2*2*2) - 3(2*2*2) + 3 - 5

= 32 - 3(8) + 3 - 5

= 32 - 24 + 3 - 5

= 31 - 24 - 2

= 31 - 26

= 5 Remainder.

Hence, when x^5 - 3x^3 + x - 5 is divided by x - 2 , we get the remainder as 5.

Answer:

a) 2

Step-by-step explanation:

 4:8 and 6:12

4/8 and 6/12

we flip them since we want to find the conversino

8/4 and 12/6

simpilify

2 and 2

scale factor was 2

hope this helps, lmk if it is correct

Answer:

87

Step-by-step explanation:

hijbgvyuhbgvfctygvibhujhgvcfturugvybhugyvuftcgvuhbj

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer: 3.7 + 0.41 + 1.3 + 0.7

Step-by-step explanation: for 3.7 you see the number after 7 is 2 and that tells u to round  down

0.41 - the digit after the 4 is 1 so u round  down

1.3 - the digit after the 2 is 8 so u round up

0.7 - the digit after the 6 is 5 so u round up

Answer: a. 0.1252

b. 0.04736

Step-by-step explanation:

Let X denotes a  the number of soldiers killed by horse kicks in a year such that it has a Poisson distribution with mean \(\lambda=0.61\).

Poisson distribution formula:

\(P(x; \lambda) = \dfrac{(e^{-\lambda}) (\lambda^ x)}{ x!}\)

a.    \(P(X>1)=1-P(X\leq1)\)

\(=1- (P(X=0)+P(X=1))\\\\=1-( \dfrac{(e^{-0.61}) ((0.61)^0)}{ 0!}+\dfrac{(e^{-0.61}) ((0.61)^1)}{ 1!})\\\\= 1-( \dfrac{(0.54335) }{ 1}+\dfrac{(0.54335) (0.61)}{ 1})\\\\\approx0.1252\)

Hence, the probability of more than 1 death in a corps in a year= 0.1252

b.  For five years, Mean = \(\mu =\lambda \times 5= 0.61\times5 =3.05\)

\(P(X=0)=e^{-3.05}\dfrac{3.05^0}{0!}\)

\(\\\\=(0.04736)\dfrac{1}{1}\approx0.04736\)

Hence,  the probability of no deaths in a corps over five years = 0.04736

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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\(3:1\)

you says that 25% it's mean yellow fish 1/4 of total

and blue fish 75% means 3/4

So, the ratio of blue : yellow be 3:1

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

X=0,X=-3/7

Step-by-step explanation:

7x^2+3x=0

x(7x+3)=0

x=0

7x+3=0

7x=-3

x=-3/7.

Answer:-3/7

Step-by-step explanation:

Firstly add -3x to both sides of equation. 7x^2+3x-3x=0+-3x

7x^2=-3x

Divid both sides by X

7x^2/X=-3/X

7x=-3

Divid both sides by 7

7x/7=-3/7

X=-3/7

The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89

Total receipt= $17.92

4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts

Cost of chocolate chips = $2.59

Cost of 4 bags of chocolate chips = 4($2.59)

= $10.36

Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips

= $17.92 - $10.36

= $7.56

Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4

= $7.56 / 4

= $1.89

Therefore, each bag of walnut cost $1.89

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Answer: Step 1: Divide 17.92 by 4

              Step 2: Subtract 2.59 from 4.48

Step-by-step explanation:

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.

To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).

Given data ,

Let the polar curve be represented as A

Now , the polar coordinates is given as

r = -4 sin ( 3θ )

And , To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

So , on simplifying , we get

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Hence , the polar curve is r = -4 sin ( 3θ )

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Answer:

D

Step-by-step explanation:

Answer:

  A.  incorrect; not the ratios of corresponding sides

Step-by-step explanation:

You want to know if the proportion 4/12 = 12/x and its solution x=60 are correct for the given figure.

In the given figure, the side lengths, shortest-to-longest are ...

  4, 8, 12

and

  10, 20, x

The ratio 4/12 would match the ratio 10/x. The proportion shown in the problem statement is 4/12 = 12/x (not 10/x). Corresponding sides are not used.

The correct proportion would be ...

  4/12 = 10/x   ⇒   x = 30 . . . . . the solution x=60 in incorrect

The vertical angles are congruent, and the marked angles are congruent, so the triangles are similar by the AA similarity postulate.

__

Additional comment

The side lengths do not meet the requirements of the triangle inequality:

  4 + 8 is not greater than 12

so these "triangles" are formed from segments whose lengths do not form a triangle.

<95141404393>

The value of unknown side x is 16√5.

option C.

The value of unknown side x is calculated by applying trig ratio as follows;

The trig ratio is simplified as;

SOH CAH TOA;

SOH ----> sin θ = opposite side / hypothenuse side

CAH -----> cos θ = adjacent side / hypothenuse side

TOA ------> tan θ = opposite side / adjacent side

The hypothenuse side is given as 48, the adjacent side is given as 32, the unknown side x is calculated by applying Pythagoras theorem.

x² = 48² - 32²

x² = 1280

x = √1280

x = √ (64 x 4 x 5)

x = 16√5

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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notice the first diagonal all numbers are the digit 1

notice the second diagonal is increases by 1, this is because the following number in the pascal triangle is he number before in the second diagonal plus 1

the first number in the second diagonal is 1

then

the 14th number in the second diagonal is 14

the third diagonal is increasing by the sum of the second diagonal and the number before in the third diagonal

we can create the serie

then the 14th number in the 3rd diagonal is 105

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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The coordinates of the other endpoint  of the segment, given its midpoint and one endpoint are (-14, -9)

The Midpoint Formula for a line with endpoints as (x₁, y₁) and (x₂, y₂) is;

((x₁ + x₂)/2, (y₁ + y₂)/2)

We are given the  following;

Midpoint (-15,-6)

End point (-16,-3)

Let x₁ = -16, the x coordinate of the endpoint

Let x₂ = the x coordinate of the unknown endpoint

Let y₁ = -3, the y coordinate of the endpoint

Let y₂ = the y coordinate of the unknown endpoint

Thus, for the x coordinate of the unknown endpoint;

(x1 + x2)/2

(-16 + x₂)/2 = -15

-16 + x₂ = -30

x₂ = -14

For the y coordinate of the unknown endpoint;

(y1 + y2)/2

(-3 + y₂)/2 = -6

-3 + y₂ = -12

y₂ = -12 + 3

y₂ = -9

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The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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Answer:

for my answer i got 512 but it is not one of the answer choices

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

The unit rate for canned juice, in cases per minute is; 50 cases per minute is; cases per minute

From the attached file, we see that it is a graph showing canned juice on the y-axis and time taken in minutes on the x-axis.

Now, to find the unit rate also means to find the slope from 2 defined points. From the given graph, we will take the coordinates;

(1, 50) and (2, 100)

Thus;

Slope = (100 - 50)/(2 - 1)

Slope = 50 cases per minute

Thus, the unit rate for canned juice, in cases per minute is; 50 cases per minute.

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Complete question is; A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.

What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.