A plumber wishes to cut a piece of pipe
32 inches long into two parts so that the
larger part is 4 inches less than three
times the smaller part. What are the
lengths of the two parts of the pipe?

Answer:

The height of the tree = 15.59m

Step-by-step explanation:

let's make the height of the tree = x

tan30=x/27

x = 27 x tan30

x = 15.59m

Answer is 31 because you have to count the ones under and behind

Answer:

1/(x-1)

Step-by-step explanation:

here,x=y^2/y^3 +1

x-1=y^2-3

x-1=y^-1

y=1/(x-1)

So, the value of y in terms of x is 1/(x-1)

I Hope this will be helpful for you

Answer:

Step-by-step explanation:

number of likely voters = 2022

candidate A = 49%

candidate B = 46%

margin of error = 5%

using the concept of a confidence interval to explain

from the result of the poll conducted candidate A scored 49% of the votes while Candidate B scored 46% therefore the difference between the two voters is 3%.

also the margin of error is 5% which is higher than the 3% difference between the candidates. this margin error means that the 5% can vote for either candidate A or candidate B .which makes the results TOO CLOSE TO CALL

Answer:

$ 327.08

Step-by-step explanation:

Let x = width of the container,

Then Length of the container = 2x

Let h = height of the container,

volume of the container can be calculated as length × width × height

= 2x × x × h

= 2x² h

Then we can say Volume =

= 2x² h=10

If we simplify inorder to get h

We have h= 5/x²

Then the area= (2L×h) +(2xh)

Where L is lenght

x= wish

h= height

= 2× 2x × h+ x× h

= 4x× 5/x + 2x × 5/x

Area = 30/x

Now, the area of the base = length × width

But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter

Then the cost C(x)= 2x²× 20+30/x ×12

C(x)= 40x²+35/x²

If we differenciate wrt x we have

C(x)= 80-360/x²

If we equate C(x)=0the

80=360/x²

x= 1.651

If substitute to C(x)= 40x²+35/x²

C(x) = 40(1.651)² + 35/(1.651)²

We have cost= 327.08

Answer:

(3, -3)

Step-by-step explanation:

Given functions:

and

Solution is the Intersect which is found by equalizing the two functions:

Solving for x:

As both values of x for the first function reveal f(x) = -3, the pairs are:

Answer:

  -5x = 8

Step-by-step explanation:

The result is shown here. The y-terms cancel.

  [tex]\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}[/tex]

The simplified result is ...

  -5x = 8

Answer:

The result is that 5x = -8

Step-by-step explanation:

Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10

Mathematically that would be;

(-2x+7y)-(3x+7y) = 10-2

-2x + 7y -3x -7y = 8

-2x -3x + 0 = 8

-5x = 8 or 5x = -8

Answer:

C

Step-by-step explanation:

We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square

The balance beam is balenced

Let x be the square mass

The solution is 2

C fits perfectly what we prooved

Answer:

C: x + 5 = 7; x = 2

Step-by-step explanation:

Refer to the given model. On the left-hand side of the balance beam, there are five circles and one square. On the right-hand side of the balance beam, there are seven circles. The balance beam is evenly distributed, so the value on the left-hand side of the balance beam must be the same as the value on the right-hand side of the balance beam.

The square stands for an unknown quantity. In algebra, variables are used to represent unknown quantities, so x will represent the value of the square.

The model shows that the value of x plus five circles is the same as seven circles. Replacing the word "plus" with a plus sign and replacing "is the same as" with an equal sign gives the equation x + 5 = 7.

To solve the equation, subtract 5 from both sides of the equation to isolate x.

Thus, the solution to the equation is x = 2.

Answer: 4 times as large

Step-by-step explanation:

The volume of a rectangular prism(box) can be calculated as base area*height.  Because the base of one is 100 and the other 25, simply do 100/25 = 4, to determine that the box with the smaller base must be 4x as tall as the other box.

Hope it helps <3

Answer:

B - 5

Step-by-step explanation:

K: 60

M: 60 x 25%; 60 x .25 = 75

K: 1500/60 = 25

M: 1500/75 = 20

25-20=5

Answer:

[tex]P(X_i=2) =\dfrac{1}{6}[/tex]

[tex]P(X_i=-1) =\dfrac{5}{6}[/tex]

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

Here, n = 4 and r = 2.

So, total number of ways = [tex]_4C_2 = \frac{4!}{2!\times 2!} = 6[/tex]

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. [tex]_2C_2 = \frac{2!}{2! 0! } = 1[/tex]

Now, let us have a look at the formula of probability of an event E:

[tex]P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}[/tex]

So, the probability of winning.

[tex]P(X_i=2) =\dfrac{1}{6}[/tex]

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

[tex]P(X_i=-1) =\dfrac{5}{6}[/tex]

Please refer to the attached image for answer table.

Answer:

two = 1/6

and -1 =  5/6

Step-by-step explanation:

Answer:

Hope should not pull her defender.

Step-by-step explanation:

When Hope has pulled her defender:

The team had lost 4 times, tied 2 times, and won 3 times.

Hence, the total number of times she meets her goal is:

6 times (Since the goal is to either tie or win the game )

Hence, the probability that she meets her goal is =   6/9=2/3=0.66

When she  left her defender in the game:

The team has lost 1 time, tied 3 times, and won 6 times.

Hence, the total number of times she meets her goal is: 9

Hence, the probability that she meets her goal is: 9/10=0.9

As the probability of meeting her goal is more when she left her defender in the game is more.

 Hence, Hope should not pull her defender.

Answer:

46°

Step-by-step explanation:

We can tell that this triangle is an isosceles triangle because 2 of it's sides are the same, therefore, two of it's angles are the same.

Looking at it, we can assume that the two angles not defined (x and the other one) are the two angles that are the same because they look similar.

Now, the angles of all triangles add up to 180°. So, we can subtract 88° from 180 to see what the two angles add up to.

[tex]180-88=92[/tex]

So both of these angles add up to 92 degrees. Since there are two, we divide 92 by 2.

[tex]92 \div 2 = 46[/tex]

Hope this helped!

Answer:

5,000 passengers

Step-by-step explanation:

1. Find out how many trains leave each hour.

6 min – 60/6 = 10 x 200 passengers = 2000

10 min – 60/10 = 6 x 200 passengers = 1200

12 min – 60/12 = 5 x 200 passengers = 1000

15 min – 60/15 = 4 x 200 passengers = 800

2. Add it all up.

2000 + 1200 + 1000 + 800 = 5000 passengers

Answer:

5000

Step-by-step explanation:

6 minute train leaves 10 times

10 x 200 = 2000 passengers

10 minute train leaves 6 times

6x200 = 1200

12 minute train leaves 5 times

5x200 =1000

15 minute train leaves 4 times

4x200 =800

2000+1200+1000+800=5000

assuming more than 1 train can be at the station at once

Answer:

The answer is below

Step-by-step explanation:

The formula m = (12,000 + 12,000rt)/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years. Keri decides that she can afford, at most, a $275 monthly car payment. Give an example of an interest rate greater than 0% and a loan length that would result in a car payment Keri could afford. Provide support for your answer.

Answer: Let us assume an annual interest rate (r) = 10% = 0.1. The maximum monthly payment (m) Keri can afford is $275. i.e. m ≤ $275. Using the monthly loan payment formula, we can calculate a loan length that would result in a car payment Keri could afford.

[tex]m=\frac{12000+12000rt}{12t}\\ but\ m\leq275, \ and \ r=10\%=0.1\\275= \frac{12000+12000(0.1)t}{12t}\\275= \frac{12000}{12t} +\frac{12000(0.1)}{12t}\\275= \frac{1000}{t} + 100\\275-100= \frac{1000}{t} \\175= \frac{1000}{t} \\175t = 1000\\t= \frac{1000}{175}\\ t=5.72\ years[/tex]

The loan must be at least for 5.72 years for an annual interest rate (r) of 10%

Here's the keywords you need! :)

example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)

monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)

statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)

Just got it right on edge 2020, hope this helps!! :)

Answer:

B: 2²

Step-by-step explanation:

3(7+2²) - 5

PEMDAS says parentheses first

Then we do the order of operations inside the parentheses

Exponents are the first thing inside the parentheses

Answer:

h=−6, k=−30

Step-by-step explanation:

did on edge

Considering the equation of the parabola, the coefficients of the vertex are:

h=−6, k=−30

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](h,k)[/tex]

In which:

[tex]h = -\frac{b}{2a}[/tex]

[tex]k = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the equation is:

[tex]f(x) = x^2 + 12x + 6[/tex]

Hence the coefficients are a = 1, b = 12, c = 6, thus:

[tex]h = -\frac{12}{2} = -6[/tex]

[tex]k = -\frac{120}{4} = -30[/tex]

More can be learned about the equation of a parabola at https://brainly.com/question/24737967

Answer:

x = -6    x = -1

Step-by-step explanation:

We want to solve using the zero product property

x^2+7x=-6

Add 6 to each side

x^2 +7x +6 = 0

Factor

What 2 numbers multiply to 6 and add to 7

( x+6) (x+1) =0

Using the zero product property

x+6 =0          x+1 =0

x+6-6 =0-6    x+1-1 = 0-1

x = -6    x = -1

Answer:

The answer is

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

[tex] \frac{f(x)}{g(x)} = \frac{ {36x}^{5} - {44x}^{4} - {28x}^{3} }{ {4x}^{2} } \\ \\ = \frac{ {36x}^{5} }{ {4x}^{2} } - \frac{ {44x}^{4} }{ {4x}^{2} } - \frac{ {28x}^{3} }{ {4x}^{2} } \\ \\ = {9x}^{3} - {11x}^{2} - 7x[/tex]

Hope this helps you

Answer:

9x³ - 11x² - 7x

Step-by-step explanation:

guy abpove is right or bwlowe

Answer:

  4

Step-by-step explanation:

f(-1) = (-1)^2 +1 = 1 + 1 = 2

g(-1) = 3(-1) +5 = -3 +5 = 2

f(-1)g(-1) = (2)(2) = 4

Answer:

2.5 m/s^2

Step-by-step explanation:

Answer:

2.5 m/s²

Step-by-step explanation:

First, convert to SI units.

90 km/h × (1000 m/km) × (1 h / 3600 s) = 25 m/s

a = Δv / Δt

a = (25 m/s − 0 m/s) / 10 s

a = 2.5 m/s²

Answer: B.) $275

Step-by-step explanation:

Rates charged by insurance company :

House Insurance 50 per $100

Contents Insurance 25 per $100

Value of House = $50,000

Insurance Fee:

$50,000 / $100 = 500

500, 50 cent payment,

50 cent × 500 = 25000 cent

Value of content = $10,000

Insurance Fee:

$10,000 / $100 = 100

100, 25 cent payment

25 cent × 100 = 2500 cent

Total insurance fee:

(25000 + 2500) cent

= 27500 cent

27,500 cent / 100

= $275

Answer:

x=12,y=10

Step-by-step explanation:

Step: Solve x+3y=42

x+3y=42

x+3y+−3y=42+−3y(Add -3y to both sides)

x=−3y+42

Step: Substitute−3y+42forxin2x−y=14:

2x−y=14

2(−3y+42)−y=14

−7y+84=14(Simplify both sides of the equation)

−7y+84+−84=14+−84(Add -84 to both sides)

−7y=−70

Divide both sides by -7

y=10

Step: Substitute10foryinx=−3y+42:

x=−3y+42

x=(−3)(10)+42

x=12(Simplify both sides of the equation)

Hope this Helps:)

-Ac<3-

Answer:

it'd be 3! :)

Step-by-step explanation:

took quiz

to be sure, the graph goes like

/ ,  then a hill like shape, then goes U, and then goes up

The number of rational roots of the equation are 3.

The root of an equation are the solutions to an equation. The equation as shown is a cubic equation hence will have three roots shows as  (2, 0), (3, 0), and (4.5, 0).

It thus implies from the foregoing that the number of rational roots of the equation are 3.

Learn more about root of an equation:https://brainly.com/question/12029673

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C). (3, 29) would be your answer.

Explanation?:

Rewrite the equation in vertex form.

y = -3(x - 3)^2 + 29

use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 3

k = 29

The vertex = (h, k)/(3, 29)

Hope this helps!

Answer:

It would be c

Step-by-step explanation:

Answer:

200 Recyclables Items

Step-by-step explanation:

The first step is to find the common ratio using this formula

Common ratio= Numbers of recyclable items/Number of minutes it takes to sort the recyclable item

Let plug in the formula

Common ratio =150/3 = 50

This means that we have 50 Recyclables Items per minute.

Now let calculate how many recyclable items that Faye can sort in 4 minutes

This means we are going to multiply 4 minutes by the 50 recyclable items per minutes

Hence,

4 * 50 = 200 Recyclables Items

Therefore Based on the ratio shown in the double number line, this means that Faye can sort 200 recyclable item in 4 minutes

Answer: 200

Step-by-step explanation: Since 150 divided by 3 is 50 add a 50 to 150 and you get 200

the 1st one

third one

fourth one

the last one

each of the equation has one of the common factor out

12(x + 3y),  6(2x + 6y),  4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.

An expression is combination of variables, numbers and operators.

Equivalent expressions are expressions that work the same even though they look different.

The given expression is 12x + 36y.

Twelve times of x plus thirty six times of y.

When we solve each expression we have to get 12x + 36y.

1. 12(x + 3y)- Equivalent expression

By distributive property

=12x+36y

2. 9(3x + 4y)- Not Equivalent expression.

27x+36y

3. 6(2x + 6y)- Equivalent expression

12x+36y

4. 4(3x + 9y)-Equivalent expression

5. 2(6x + 24y)- Not Equivalent expression.

12x+48y

6. 3(4x + 12y)-Equivalent expression

12x+36y

Hence, 12(x + 3y),  6(2x + 6y),  4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.

To learn more on Expressions click:

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Answer:

He will earn 80% during training

Step-by-step explanation:

Lets take $25 as 100%

And take $20 as x

Using equivalent ratios, the equation would look like: $25:100% = $20:x

Next, turn them into fractions: $25 = $20

100% x

Cross multiply to get:

(25)x = $20×100%

The next step:

25x = $20×100%

25 25

25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4

Leaving it as:

x= 20×4%

x= 80%