A length of outdoor lights is formed from strings that are 5ft. long and 11ft. long. Fourteen strings of lights are 106ft. long. Which system of equations models this situation?

Answers

Answer 1

x+y=14

What is equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

Let x = number of 5 ft long strings and

y = number of 11 ft long strings

Consequently, 5x+11y=106,

because the whole string is 14,

x+y=14.

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Related Questions

bella answered 33 questions on her math test. she earned a 92% on the test. how many questions did she answer correct

Answers

Answer: 30.36

Step-by-step explanation:

92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.

Find the critical z value for a confidence level of 85%. (round answer to 2 decimal places)
. I want to know what Z-table to use and how to read it because it get me confused in reading the z table to answer this type of question

Answers

Using a z-table for the value, the critical z-value for a confidence level of 85% is; ±1.439.

How to find the critical z-value?

The critical value of a distribution is defined as the value beyond which the rejection region lies.

Now, for a confidence interval , the rejection region lies beyond two values, the positive and the negative critical value.

We are given that the confidence level is 85%.

Thus, the computation of the critical value of z for 85% confidence level is expressed as follows;

±z_α/2 = ±z_0.15/2

This is simplified to get;

±z_0.075 = ±1.439

That value is concluded to be the critical z-value at the given confidence level.

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Suppose particular plane needs to attain speed of k feet per second In order to take off: The plane can attaln that speed in 30 seconds Assume acceleration Is constant; v(o) = 0, and s(0) when answering the questlons below. Use lower case k. (a) Flnd formulas for acceleration_ velocity, and position of the plane_ Your answers will have k In It: a(t) Select-= v(t) Select s(t) Selec (D) If the plane accelerates to feet per second in 30 seconds how far will it travel In that time? Your answer will have k In It. feet (c) If a runway Is 3450 feet long and the plane uses the entire runway to take off, what Is the value of k?

Answers

Formula available for acceleration, velocity and position of plane are

k²=2as, k=30a, s=450a and the value of k is 230 ft/sec

what is velocity?

rate of changes of distances with respect to time.

what is acceleration?

rate of changes of velocity with respect to time.

Given, final velocity, v= k ft/s

time needed to attain speed k is 30 s

time, t= 30 sec

acceleration, a = constant

initially at time t=o, velocity and distance travel by aircraft was also o

initial velocity u =0, distance s = 0

as per the formula regarding velocity, distance, time and acceleration

v² = u²+2as

as per the question final velocity v= k, initial velocity u=0

k² = 2as

again, the formula v= u+at

the velocity of v after 30 second

k= a×30

acceleration, a= k/30

from the other formula, s=ut+1/2×at²

distance travel by aircraft after 30 second with initial velocity 0.

s= u×0+1/2×a(30) ²

s= 450a

previously we got a=k/30

now, s =450×k/30= 15k

if the runway is 3450 feet long and the plane needs to use the entire runway to take off then the value of k will be

s=15k

k=230 ft/sec

hence, the value of k is 230 ft/sec

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25. If 5F+8/G =3R-1/S
is solved for F, then F =

Answers

After solving the equation the value of F = (3GR -G - 8S) / 5S

Define Algebraic Expression

In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)

Given expression is,

5F + 8 / G = 3R - 1 / S

Multiply both side by G

( 5F + 8 / G ) * G= (3R - 1 / S) * G

Simplify it,

5F + 8 = G(3R - 1) / S

Now, solve for F

5F = (3GR - G / S )- 8

5F = 3GR - G - 8S / S

F = 3GR - G - 8S / 5S

Hence, After solving the equation the value of F = (3GR -G - 8S) / 5S

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You have $1200 and a few different investment choices for the money. Below are a series of descriptions of investments, and equations that match with some of the descriptions. Please drag the equations to match the descriptions.

Answers

Compound interest equation:

[tex]A = P(1 + r/n)^{nt}[/tex],Where A - future value, P - invested amount, r- rate, n- number of compounds per year, t- years.

Find equations for each case below.

1) P = 1200, r = 0.09, n = 1, t = 15

Equation: A = 1200(1 + 0.09)¹⁵ = 1200(1.09)¹⁵

2) P = 1200, r = 0.12, n = 4, t = 15

Equation: A = 1200(1 + 0.12/4)⁴*¹⁵ = 1200(1.03)⁶⁰

3) P = 1200, r = 0.12, n = 12, t = 15

Equation: A = 1200(1 + 0.12/12)¹²*¹⁵ = 1200(1.01)¹⁸⁰

4) P = 1200, r = 0.15, n = 2, t = 9

Equation: A = 1200(1 + 0.15/2)²*⁹ = 1200(1.075)¹⁸

A 55 inch pipe is cut into two pieces. One piece is four times the length of the other find the length of the shorter piece.

Answers

Answer:

11 inches

Step-by-step explanation:

4x + x = 55 Combine like terms

5x = 55 Divide both sides by 5

x = 11 This is the length of the shortest piece the other piece is 44 4(11)

Answer:

11 inches, 44 inches

Step-by-step explanation:

First of all, we need to make this equation, into an algebraic one:

4x + x = 55

The x represents the number of inches for the rope.

Now you simplify:

5x = 55

This equation can be simplified to a regular division problem:

55/5 = x

Using basic division, x is equal to 11 inches.

Now, this is just the shorter rope.

Note that the other piece is 4 times larger than the short one:

4 x 11 = 44

Thus 11 inches and 44 inches is the answer

The manager of Jim's Grill tracked and charted how many customers they have to better schedule her staff. Based on the graph, about how many customers are in the restaurant at the slowest time of the , between the two peaks?

Answers

At 2:00pm and 5:00pm. I hope this helps

Use point-slope form to write the equation of a line that passes through the point
(9, 15) with slope -4/3

Answers

Answer:

Hope it helps

Step-by-step explanation:

y - 15 = -4/3(x - 9)

one angle the triangle measures 10° Greater the smallest angle and the third angle measures 10° less than twice the smallest angle find the measurement of the three angles

Answers

The measure of three angles of triangle are 45°, 55° and 80°.

What is angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Let the smallest angle of triangle be x.

One angle the triangle measures 10° greater the smallest angle, that is x+10°

The third angle measures 10° less than twice the smallest angle.

The third angle is 2x-10°

Now, x+2x-10°x+10°=180°

⇒ 4x=180°

⇒ x=45°

So, 2x-10°=80° and x+10°=55°

Therefore, the measure of three angles of triangle are 45°, 55° and 80°.

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50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! PLEASE HELP

Which scatterplot(s) show a positive linear association between the variables?

A.
Table A only

B.
Neither table

C.
Table B only

D.
Both tables

Answers

table b. it’s the one on the right for both pics

Answer:

Step-by-step explanation:

I'd say c.) table b only. Because it's a straight line which I think is positive but i'm not sure about the association between the variables part. If wrong I'm sorry.

A 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day. The medication comes in a liquid solution of 50 mg for every 10 ml. How many ml of this solution will this patient need in a day?

Answers

The 4ml of this solution, this patient will need in a day.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day.

The medication comes in a liquid solution of 50 mg for every 10 ml therefore,

0.25 x 80 = 20mg/day

50/10 = 5mg/ml

Then the patient need in a day;

20/5= 4ml

Theefore, The solution, this patient will need in a day is 4 ml.

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Refer to the golden ticket parking lottery example (page 296). At the following month's school assembly, the two lucky winners were once again members of the AP Statistics class. This raised suspicions about how the lottery was being conducted. How would you modify the simulation in the
example to estimate the probability of getting two winners from the AP Statistics class in back-to-back
months just by chance?

Answers

Answer: i dont kno man

Step-by-step explanation:

Given F (0, 2) and G (2,6), if point S lies 1/3 of the way along FG, closer to F than to G, find the coordinates of S. Leave your answer in fraction form.

Answers

The coordinates of S(x₁, y₁)=(3/2 , 5) if F(0, 2) and G(2,6) and the lines divided in the ratio 1:3

What is a section formula?

Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it. Finding systems' centers of mass, equilibrium locations, etc. are all done using this method in physics. Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it.

Given,

F(0, 2) and G(2, 6)

And also given that the points S lies on the way along FG then:

The lines divides the ratio,

1:3= m:n

Here we have to find the coordinates of S, we get:

S(x₁, y₁)=((mx₁+n x₂)/(m+ n), (my₁+n y₂)/(m+ n))

=((1(0)+3(2))/4 , (1(2)+3(6))/4)

=(6/4 , 20/4)

=(3/2 , 5)

S(x₁, y₁)=(3/2 , 5)

Therefore, the coordinates of S(x₁, y₁)=(3/2 , 5).

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Answer:

S(2/3, 10/3)

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

Given

Points F(0, 2) and G(2,6).

We need to find the point S(x, y) which makes FS = 1/3 FG.

Each coordinate of S is at 1/3 FG distance from F.

Find values of x and y:

x = 0 + 1/3(2 - 0) = 0 + 2/3 = 2/3y = 2 + 1/3(6 - 2) = 2 + 4/3 = 10/3

So the point S is at (2/3, 10/3).

The diameter of a circle is 3 ft. Find its area to the nearest whole number.

Answers

Answer:

7.065

Step-by-step explanation:

So, to find the area of a circle you need to use "A = π r2"

First, we have to find out the radius of the circle, so cut the diameter in half, that will equal 1.5 ft

then, you put 3.14 (pi) into a calculator

then put (1.5 x 1.5) which is 1.5 to the second power.

the equation put together will be 3.14 (1.5 x 1.5)

So the answer will be 7.065

A teacher conducted an experiment to see if she was more likely to call on boys or girls in class. One day she recorded the number of times she called on boys in class and the number of times she called on girls in class. She found that out of 30 questions she asked, she called on girls 23 times.

To see if the results were typical, she ran 50 simulations and created a dotplot showing the number of times a girl was called on out of 30 questions. Were her results typical for that one day? Explain.
Responses

A Her results were not typical. She should have called on females fewer than 10 times since most of the data is centered around 10. Her results were not typical. She should have called on females fewer than 10 times since most of the data is centered around 10.

B Cannot be determined. You can not use a simulation to see if experimental results are typical. Cannot be determined. You can not use a simulation to see if experimental results are typical.

C Her results were not typical. Her results were on the high end. Based on the mean of the data, she should have called on females around 16 times.Her results were not typical. Her results were on the high end. Based on the mean of the data, she should have called on females around 16 times.

D Her results were typical. Most of the data on the dot plot falls between 17 and 28, and 23 lies right in the middle.

Answers

From the explanations, we can say that for the research experiment;

A Her results were not typical. She should have called on females fewer than 10 times since most of the data is centered around 10.

How to Interpret Research Experiment?

Since the teacher is conduction the experiment to see if she was more likely to call on boys or girls in class, it means that there may have been some bias in the research.

The reason for the purposed bias comes from the she is also a female. However, it is not only just about genders only but which student was closer and as such if the teacher is female it’s more likely for a female student to be closer to her eye view whereas the boys may be in the back as usual and so 23 shows a typical expectation.

Now, looking at the options, we can say that the correct one is certainly.

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245 as a reduced fraction

Answers

The reduced fraction of 0.245 is 49/200.

What is the greatest common factor (GCF)?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four. Frequently, GCF is used to identify common denominators.

We have,

0.245

Write 0.245 as

0.245 / 1

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.245/1

= 0.245 x 1000 / 1 x 1000

= 245 / 1000

In order to reduce the fraction find the Greatest Common Factor (GCF) for 245 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.

The factors of 245 are: 1 5 7 35 49 245

The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000

The Greatest Common Factor (GCF) for both 245 and 1000 is: 5

Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

245/ 1000

= 245 ÷ 5 /1000 ÷ 5

= 49 / 200

The decimal part is: 0.245 = 245/1000

Full simple fraction breakdown: 245/1000

= 49/200

Hence, the reduced fraction of 0.245 is 49/200.

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less than the sum of the number and 2"

The x is the given number.

So square root of a number, x means √x

5 less than the sum of the number and 2.

sum of the number and 2 means x+2 and 5 less than the sum of the number and 2 means (x+2)-5

So √x = (x+2)-5 is the equation.

Hence, √x = (x+2)-5 expresses the verbal statement "The square root of a number, x, is 5less than the sum of the number and 2"

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A recreation center charges $50 to rent the gym for 1 hour, and $100 to rent the gym for 3 hours. Jon says the price per hour is $50. Find and correct Jon’s mistake. Assume the relationship is linear.

Answers

The rent of the gym for one hour is $50 and for three hours it is $100.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

A recreation center charges $50 to rent the gym for 1 hour, and $100 to rent the gym for 3 hours,

Calculate the price if you rent a gym for 3 hrs = 100 / 3 = $33.33

Therefore, the rent of the gym for one hour is $50 and for three hours it is $100.

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is this statistical, what is the total number of eggs in dozen?

Answers

The total number of eggs in a dozen is 12.

you buy a shirt that is on sale for 30% off. the original price is $22.40. your friend wants to know the sale price of the shirt. how can your friend find the sale price?

Answers

The sale price of the shirt can be found by calculating 30% of the original price, which in this case would be $22.40 x 0.30 = $6.72. Thus, the sale price of the shirt would be $22.40 - $6.72 = $15.68.

The owner of bookstore buys used books from customers for $1.50 each .the owner then resells the used books for 400% of the amount he paid for them.what is the price of a used book in this bookstore

Answers

The selling price of a used book at the store where the owner buys a used book for $1.50 and resells the used book at a price of 400% the price at which he buys the used book is $6.00

What is the selling price of a commodity?

The selling price of an item is the price which is displayed on the item on the shelves of a store. The selling price is often different from the price at which the item is bought, or produced, which is often lesser than the price at which the item is sold.

The amount at which the owner buys each used books = $1.50

The amount at which the owner of the used book store sells the books = 400% of the amount he paid for the books

-15x. -15x

3y=2-15x

/3 /3. /3

y=2/3-5x

so B is the correct answer

hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

Based on the information provided, it appears that the correct answer would be option D: y=2 - 15x. This can be determined by solving the given equation for y by isolating the y-term on one side of the equation. To do this, you can subtract 15x from both sides of the equation, resulting in y = 2 - 15x.

Here is the complete process for solving the equation:

Begin by subtracting 15x from both sides of the equation:

15x + 3y = 2

-15x -15x

This simplifies to:

3y = 2 - 15x

Now, divide both sides by 3 to isolate the y-term:

3y/3 = (2 - 15x)/3

This simplifies to:

y = 2/3 - 15x/3

Finally, since 3 is a common factor, we can simplify the right side of the equation further by dividing both the numerator and the denominator by 3:

y = 2/3 - 15x/3

y = (2/3) / (3/3) - (15x/3) / (3/3)

y = (2/3) / 1 - (15x/3) / 1

y = 2/3 - 15x/3

y = 2/3 - 5x

Therefore, the equivalent equation is y = 2/3 - 5x, which is option D.

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