Aaron is remodeling his patio. He will decrease the length of his patio, L, by 7 feet. Aaron will also changed the patio's width to be 3 times the original width, W. Which expression shows the ratio of the length to the width of the remodeled patio?

Answer:

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

So, using the given measurements, we can substitute in the values and solve for the volume:

V = π(1.9 cm)^2(8.9 cm) = 301.958 cm^3

Rounded to the nearest tenth, the volume of the can is 301.9 cm^3.

Step-by-step explanation:

The number of hours that James have to work each week will be 25 hours.

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.

In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.

The number of hours that James have to work each week will be:

= 5(38) - 3(15 - 4)

= 5(38) - 3(11)

= 5(38 - 33)

= 5 × 5

= 25 hours

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Answer:

expanded from:4d²-20de-25e²

Answer: y = 0

Step-by-step explanation:

A midline of a sinusoidal function is the horizontal center line about which the function oscillates above and below. For y = sin x, the midline is y = 0 (the x-axis). The midline is parallel to the x-axis and is located halfway between the graph's maximum and minimum values.

Answer:

To solve the simultaneous equations 3x - 2y = 4 and 4x - y = 13, we can use elimination or substitution. To solve by elimination, we can subtract 3x - 2y from both sides of the first equation, and 4x - y from both sides of the second equation, resulting in -2y = -12 and -y = 9. Then we can add the two equations together which gives us -3y = -3. Dividing both sides by -3 gives us y = 1. We can then substitute this value for y into either of the original equations and solve for x. In this case, if we substitute 1 for y in the first equation, we get 3x - 2(1) = 4, which simplifies to 3x = 6. Dividing both sides by 3 gives us x = 2. Therefore, the solution to the simultaneous equations is x = 2 and y = 1.

Step-by-step explanation:

see above

Answer:

[tex]x= -2 , y=5[/tex]

Step-by-step explanation:

[tex]3x + 2y = 44x - y = -13[/tex]

Take either of the equations and choose which to make the subject. i shall choose the second equation and make -y the subject of the formula.

[tex]4x - y = -13[/tex]

lets take -y to the other side because we want -y to be positive, ie (+y)

[tex]4x = y - 13 ,[/tex] take -13 to the other side,

[tex]y= 4x + 13[/tex]

now that we have that we take the other equation and substitute what y is into the equation, i.e

[tex]3x + 2( 4x + 13) = 43x + 8x + 26= 411x + 26 = 4[/tex]

we take +26 to the other side,

[tex]11x = 4 - 26[/tex]

[tex]11x = -22[/tex][tex],[/tex] divide both sides by 11, x becomes

[tex]x = -2[/tex]

now that we know what x is we substitute it into the formula,

[tex]4(-2) - y = -13-8 - y = -13y = -8 + 13y = 5[/tex]

The number of seats in the two buses are: first bus includes 27 seats and second bus includes 108 seats.

An equation known as proportion shows that the two ratios presented are equal to one another. For instance, the time it takes a train to go 100 kilometres per hour is equal to the time it needs to travel 500 kilometres in five hours. Example: 100 km/hr = 500 km/5 hour.

Given that:

Three rows of nine seats each make up one bus, hence the first bus's seating arrangement is as follows:

3 x 9 = 27.

Since the other bus has four times as many seats as the first bus, the second bus's seat count is as follows:

4 x 27 = 108.

Hence, the number in the two buses are first bus includes 27 seats and second bus includes 108 seats.

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At the given rate, I can perform 480 pushups.

Your goal should be to complete 100 push-ups in 2 minutes (this is a standard for elite soldiers).

White defines that as 10 to 20 push-ups if your max is 25 reps, 2 sets of 10 to 20 if your max is 25 to 50 reps, and 2 to 3 sets of 10 to 20 if your max is greater than 50 push-ups. "If you're doing a lot of sets and hitting a lot of volume, I'd try to do them every other day.

24/6 = 4

meaning they are doing 4 push ups per second, this is your slope

the equation of your line is y = 4x, you can graph this using a table of values

2 minutes = 120s

y = 4(120)

y = 480 push ups

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The required loan out of 14000 which is on 7% interest is given as $3800.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Let part of the loaned amount at 7 % interest be x and another part with 17% interest be y,
A bank loaned out ​$14000​, part of it at the rate of 7% per year and the rest at 17% per year, and the interest received in one year totaled ​$​2000,

According to the question,
x + y = 14000
x = 14000 - y - - - - - (1)

and,
0.07x + 0.17y = 2000 - - - - (2)

Put x from equation 1 in equation 2
Gives,
y = 10200

Now,
x = 14000 - 10200
x = 3800

Thus, the required loan out of 14000 which is on 7% interest is given as $3800.

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer:

---------------------------------------

Given system:

First simplify the second equation by dividing all terms by 2:

We got the same equation as the first one. It means the two lines overlap, so there are infinitely many solutions.

If we use elimination method, we will subtract the two equations then end up with equation 0 = 0.

Answer:

Step-by-step explanation:

The three numbers are 50, 40, and 27.

We can solve this equation by setting up a system of equations.

Let x be the first number, y be the second number, and z be the third number.

x + y + z = 117

y = x - 10

z = (1/2)x + 2

Substituting the equation for y into the first equation, we get:

x + (x - 10) + (1/2)x + 2 = 117

2x - 8 = 117

2x = 125

x = 62.5

Substituting this value of x into the other equations, we get:

y = x - 10 = 62.5 - 10 = 52

z = (1/2)x + 2 = (1/2)62.5 + 2 = 32.5 + 2 = 34.5

Rounding these values, the three numbers are 50, 40, and 27.

The quadratic equation with the given zeros is:

y = 2.5*x^2 - 5x - 7.5

For a quadratic equation with the zeros h and k, and a leading coefficient a is:

y = a*(x - h)*(x - k)

Here we know that the zeros are 3 and -1, replacing these values we will get:

y = a*(x - 3)*(x + 1)

Finally, we also know that the quadratic goes through (1, -10)

Replacing these values we will get:

-10 = a*(1 - 3)*(1 + 1)

-10 = a*(-2)*2

-10 = -4a

10/4 = a

5/2 = a = 2.5

Then the quadratic equation is:

y = 2.5(x - 3)*(x + 1)

Expanding that we will get:

y = 2.5*(x^2 - 3x + x - 3)

y = 2.5*x^2 - 5x - 7.5

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Answer:

scalene acute as its all sides length are not equall and its all angle are less than 90 degrees

The y intercept of the data collected is 42°C

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Let y represent the average temperature and x represent the month. x = 0 represent the month January.

From the table, at January, the average temperature is 42°C. Hence the y intercept is 42°C.

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The fraction compares BC to BD is 2/3. Therefore, option A is the correct answer.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Given that, the coordinate points are B(0,1), D(3 ,1) and C(2, 1).

Here, BC is

BC=√[(2-0)²+(1-1)²]

BC=2 units

BD is

BD= √[(3-0)²+(1-1)²]

BD= 3 units

The fraction compares BC to BD is 2/3

Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following fractions compares BC to BD? coordinate plane with segment BD at B(0,1) and D(3 ,1); point C is on segment BD and (2, 1).

Answer choices:

A) 2/3

B) 5/2

C) 2/5

D) 3/2

Answer:

2/5

Step-by-step explanation:

d = √[(x2 - x1)² + (y2 - y1)²]

For segment BD:

BD = √[(5 - 0)² + (1 - 1)²]

= √[5² + 0²]

= √25

= 5

For segment BC:

BC = √[(2 - 0)² + (1 - 1)²]

= √[2² + 0²]

= √4

= 2

The probabilities regarding the total time of the 34 jets are given as follows:

a) Less than 320 minutes: 0.9306 = 93.06%.

b) More than 275 minutes: 0.8238 = 82.38%.

c) Between 275 and 320 minutes: 0.7544 = 75.44%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the total time of the 34 jets is given as follows:

The probability that the mean is less than 320 minutes is the p-value of Z when X = 320, hence:

Z = (320 - 292.4)/18.66

Z = 1.48

Z = 1.48 has a p-value of 0.9306.

The probability that the mean is more than 275 minutes is one subtracted by the p-value of Z when X = 275, hence:

Z = (275 - 292.4)/18.66

Z = -0.93

Z = -0.93 has a p-value of 0.1762.

1 - 0.1762 = 0.8238.

The probability of a value between these two amounts is given as follows:

0.9306 - 0.1762 = 0.7544.

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Answer:

5

Step-by-step explanation:

{9.75 + [tex]\frac{1}{2} ^{2}[/tex]] ÷ 2

[9.75 + [tex]\frac{1}{4}[/tex]] ÷ 2               1/4 = .25

(9.75 + .25) /2

10/2 = 5

Answer:

Area = 15.6 cm²

Step-by-step explanation:

Area of a rectangle = long * wide

Then:

Area of a rectangle = 6.5 cms * 2.4 cm

Area of a rectangle = 15.6 cm²

Answer:

-252 y^3 z

Step-by-step explanation:

easy qs no need steps

According to the information, when I am on the 15th floor of building A, my friend is on the 18th floor of building B.

To find the floor number where my friend is in building B while I am on the 15th floor of building A, we must perform the following mathematical operation:

Rule of three

Based on the above, we can infer that to find the number of the floor where my friend is, we must follow a rule of three. This gives us 18 as a result, that is, he is on that floor number in building B, while I am on 15 in building A.

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Answer:

Day 1: 8 pairs x $5.00/pair = $40.00

Day 2: 7 pairs x $5.00/pair = $35.00

Day 3: 15 pairs x $5.00/pair = $75.00

Day 4: 12 pairs x $5.00/pair = $60.00

Day 5: 31 pairs x $5.00/pair = $155.00

Day 6: 20 pairs x $5.00/pair = $100.00

Day 7: 35 pairs x $5.00/pair = $175.00

Total sales for the week: $40.00 + $35.00 + $75.00 + $60.00 + $155.00 + $100.00 + $175.00 = $605.00

Daily average of sales: $605.00 / 7 = $86.43

Total cost: 8 pairs + 7 pairs + 15 pairs + 12 pairs + 31 pairs + 20 pairs + 35 pairs = 128 pairs x $1.25/pair = $160.00

Profit: $605.00 - $160.00 = $445.00

So your total sales for the week were $605.00, your daily average of sales was $86.43, your total cost was $160.00 and your profit was $445.00

Step-by-step explanation:

the conjugate is where we change the sign in the middle of the two terms

so we change the - to a +

x + 14 is our answer

If one order is selected, the probability of getting an order that is not accurate is 0.236.

Probability is a measure of the likelihood of an event occurring. The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. Scientific probability is built on the basis of probability theory.

The calculation is;

P(Not accurate ) is equal to [n(Not accurate) + (Not accurate)- n] /Total

Thus, we have;

P(Not accurate) is calculated as follows:

(60 + 32 + 12 + 38 + 122 + 12 - 12)/(280 + 245 + 122 + 331 + 60 + 32 + 12 + 38).

P(Not accurate) = 264/1120

P(Not accurate ) = 0.236

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The linear speed of the Earth is 6.66×10⁴mi/hr

Speed is a measure of how fast an object is moving

The formula for linear speed is v=rw

where  the radius, , is the distance from the Earth to the Sun which is 9.29×10⁷miles and the angular speed is w=1 rev/365 days

Solving for the speed

=9.29×10⁷×1 rev/365 days

=9.29×10⁷×(1 rev/365 .2π rad/1 rev. 1 day/24 hr)

=9.29×10⁷×(2π rad/365.24hr)

v=66633.32mi/hr

Hence, the linear speed of the Earth is 6.66×10⁴mi/hr

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Answer:

m<C = 43°

Step-by-step explanation:

m<P = m<A = 45°

m<B = (5x + 2)°

m<Q = 6x - 16

m<Q = m<B

6x - 16 = 5x + 2

x = 18

m<B = m<Q = 5 × 18° + 2° = 92°

m<A + m<B + m<C = 180°

45° + 92° + m<C = 180°

m<C = 43°

Answer:

y = 13x - 41

Step-by-step explanation:

Parallel lines always have the same slope since

[tex]m_{2}=m_{1}[/tex]

Thus, the slope of the second line is m = 13.

We can find the y-intercept of the line by plugging in the points for x and y, 13 for m, and solving for b:

[tex]-2=13(3)+b\\-2=39+b\\-41=b[/tex]

Answer:

K = Fr^2/q1q2

first one option A is the correct

Answer:

Step-by-step explanation:

1+3=4, 4+5=9, 9+7=16, and 16+9=25.

The numbers added are in odd numbers from least to greatest.

So the next number is supposed to be 25+11=36.