A construction crew is lengthening a road that originally measured 47 miles. The crew is adding one mile to the road each day. Let L be the length (in miles) after D days of construction. Write an equation relating L to D. Then use this equation to find the length of the road after 31 days.

Answers

Answer 1

Answer:

78 miles

Step-by-step explanation:

Given that:

Original length, L = 47 miles

Additional length (miles) added per day, = 1 mile

Representing as an equation :

L(D) = original length + additional length per day * number of days

Let, D = number of days

L(D) = 47 + D

Length after 31 days :

L(31) = 47 + 31

= 78 miles


Related Questions

PLS HELP ASAP !!! PLSSS !!

Answers

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

..........................

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

I think it’s the first choice
Three and nine hundred four thousandths

9514 1404 393

Answer:

(a) three and nine hundred four thousandths1, .1 .01, .001

Step-by-step explanation:

(a) For numbers in word form, the word "and" is usually used to signify the location of the decimal point. The number left of the decimal point is "three", and the number right of the decimal point is "nine hundred four thousandths". Then the number in word form is ...

  "three and nine hundred four thousandths"

__

(b) The numbers in the boxes are the respective place value multipliers of the digits. The units (ones) place is where the 3 is located. Each digit to the right has a place value multiplier that is 1/10 of that to its left.

   [tex]3.904=3\times\boxed{1}+9\times\boxed{.1}+0\times\boxed{.01}+4\times\boxed{.001}[/tex]

We have shown the numbers in standard form, but it would also be mathematically correct to use fractional or exponential form. For example, 0.1 = 1/10 = 10^-1. (We don't know what form your computer expects.)

What is the answer? ​

Answers

Answer:

2.- 8.0 in.

Step-by-step explanation:

8.1 in

Step-by-step explanation:

A^2+B^2=C^2

49+16= 65

square root of 65≈8.06

round up to 8.1

Instructions: Find the area of the sector. Round your answer to the nearest tenth.
Can some one help please.

Answers

Answer:

[tex]area = \frac{30}{360} \times \pi(17)^{2} \\ =75.66002307395 \\ = 76in ^{2} [/tex]

product of x+3 and x-9

Answers

Answer:

Step-by-step explanation:

(x+3)(x-9)

multiply x with whole (x-9) and 3 with (x-9)

=x(x-9)+3(x-9)

multiply the brackets

=x^2-9x+3x-27

add or subtract like terms

=x^2-6x-277   is a required answer

Answer:

[tex] {x}^{2} - 6x - 27[/tex]

Step-by-step explanation:

[tex](x + 3) \times (x - 9)[/tex]

[tex]x(x−9)+3(x−9)[/tex]

[tex]x \times x+x(−9)+3(x−9)[/tex]

[tex] {x}^{2} +x(−9)+3x+3(−9)[/tex]

[tex] {x}^{2} −9x+3x−27[/tex]

[tex] {x}^{2} - 6x - 27[/tex]

Hope it is helpful...

what’s the answerrr..........

Answers

Answer:

D.90

the answer is 90 because it only flips once


I NEED HELP QIUCK PLZ HELP ME

You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of IT or use 3.14 for I and enter your answer as a decimal.
r = 5
units?

Answers

Answer:

A = 25pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi

Answer:

Area of circle is 25 π Or 78.5 .

Step-by-step explanation:

We know that

Area of circle = π × r ²

Here,

π = 3.14

r = 5

Substituting the given values in this formula

Area of circle = π × ( 5 ) ²

Area of circle = π × 25

multiplying the values, we get

Area of circle = 25 π Or 78.5

If A and B are two independent events with P(A)=2÷3 and P(B) =1÷5, find P(AUB).​

Answers

Answer:

[tex]for \: independent \: events : \\ P(AUB) = P(A) + P(B) \\ P(AUB) = \frac{2}{3} + \frac{1}{5} \\ = \frac{13}{15} [/tex]

Step-by-step explanation:

P(AUB) is P(A) + P(B) because P(AnB) is zero.

[tex]P(AUB) = P(A) + P(B) - P(A{ \huge{n} }B) \\ P(AUB) = P(A) + P(B) + 0[/tex]

What is the same as 4/8

Answers

Answer:

1/2 or 2/4 or 8/16 or 16/32....

Step-by-step explanation:

Find the point-slope equation for the line that passes through the points (2, 1) and (-2, 5). Use the first point in your equation.​

Answers

Answer:

y = -x +3

Step-by-step explanation:

first find the slope

m = (y2-y1) / (x2-x1)

m = (5-1) / (2--2)  = -1

note that it does not matter which points you chose to be second or first

use point-slope equation

y - y1 = m ( x - x1 )

y - 1 = -1 ( x - 2)

y = -x +2 + 1

y = -x +3

please if you find my answer helpful mark it brainiest

Answer:

y=-x+3

Step-by-step explanation:

Gradient(m)= y1-y2÷x1-x2

=1-5÷2-(-2)

=-4÷4

=-1

therefore m= -1

y-y1=m(x-x1)

y-1=-1(x-2)

y=-x+2+1

y=-x+3

11. Juan earns $7 per hour at his job. Which ordered pair would not appear on a graph showing how much Juan
earns in x hours?
(3,21)
c. (5,35)
b. (4.14)
a.
d. (1,7)

Answers

Answer:

b. (4,14)

Step-by-step explanation:

Juan earns $7 per hour at his job.

This means that the ordered pairs showing his earnings y in x hours, (x,y), have the following format:

(x,7x).

Then, the ordered pairs are:

(1,7)

(2,14)

(3,21)

(4,28)

...

Thus, the ordered pair (4,14) would not appear on the graphic.

anyone trying to help me pls?​

Answers

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Answer:

  D.  reals ≥ -4

Step-by-step explanation:

The range is the vertical extent of the graph. Here the graph goes down to -4 and includes all numbers greater than that. The range is ...

  All real numbers greater than or equal to -4

cindy scored 56 more marks than betty in a science test. If their total score was 160 calculate cindy's score

Answers

Answer:

108

Step-by-step explanation:

c = b + 56

c + b = 160

Substitute for c

(b + 56) + b = 160

2b + 56 = 160

2b = 104

b = 52

c = 52 + 56 = 108

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.

Answers

Answer:

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Conditional probability:

Event A: Leaves on time

Event B: Raining

Probability that the flight will be delayed is 0.08.

So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]

The probability that it will not rain and the flight will leave on time is 0.82.

0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:

[tex]P(A \cap B) = 0.1[/tex]

What is the probability that it is raining if the flight leaves on time?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]

0.109 = 10.9% probability that it is raining if the flight leaves on time.

HELP‼️⚠️‼️⚠️‼️⚠️‼️⚠️‼️
Which polynomial is prime?
O 3x^3+3x^2-2x-2
O 3x^3-2x^2+3x-4
O 4x^3+2x^2+6x+3
O 4x^3+4x^2-3x-3

Answers

Answer:

There is either No Answer or

B See if the computer or your maker will take B, but the real answer is that there is no answer.

Step-by-step explanation:

Prime polynomials cannot be factored.

x^2 + 4 can't be factored.

x^2 - 4 can be factored and is not prime

x^2 - 4 = (x + 2)(x - 2)

A) is not prime

3x^2(x + 1) - 2(x + 1)       x + 1 is a common factor

(3x^2 - 2)(x + 1)

B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is        (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.

C) 3x^2(x + 1) - 2(x + 1)   x + 1 is a common factor. C is not the answer.

D D is done the same way that A and C are done.

4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.

So the answer might be B. It doesn't look like it factors the same way as the other three

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

A prime polynomial is a polynomial that can't be factored. Hope I helped

PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT

Answers

Answer:

perpendicular, negative reciprocal

Step-by-step explanation:

a negative and a positive slope. 1/5 is the opposite of 5

Question 5 of 20 :
Select the best answer for the question.
5. Determine the diameter of a circle with circumference units.
O A. Tt2 units
O B. 1 unit
O C. T units
O D. 2 units
Mark for review (Will be highlighted the review page)
<< Previous Question
Next Question >>

Answers

Answer:

B. 1 unit

Step-by-step explanation:

the circumference of a circle is

Cc = 2×pi×r

r = radius = diameter / 2

now we need to find the diameter (= 2×r) of a circle with the circumference of pi.

=>

pi = 2×pi×r

1 = 2×r = diameter

so, the diameter is 1 unit.

In recent years, business failures in the United States numbered 63509. The chemical industry accounted for 9499 of these business failures. The Mid-West states accounted for 7900 of the business failures. Suppose that 1270 of all business failures were chemical businesses located in the Mid-West. A failed business is randomly selected from this list of business failures. What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West

Answers

Answer:

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Failed business in the Midwest.

Event B: Chemical industry.

Probability of failed business being in the Mid-West:

7900 out of 63509. So

[tex]P(A) = \frac{7900}{63509}[/tex]

Probability of a failed business being a chemical industry in the Mid-West.

1270 out of 63509. So

[tex]P(A \cap B) = \frac{1270}{63509}[/tex]

What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1270}{63509}}{\frac{7900}{63509}} = \frac{1270}{7900} = 0.1608[/tex]

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.

What is the relationship between Riemann Sum and definite integral?

Answers

Please Mark brainliest

Riemann sums help us approximate definite integrals, but they also help us formally define definite integrals. Learn how this is achieved and how we can move between the representation of area as a definite integral and as a Riemann sum.


Definite integrals represent the area under the curve of a function, and Riemann sums help us approximate such areas. The question remains: is there a way to find the exact value of a definite integral?

You can find some reference below:

https://math.wvu.edu/~hlai2/Teaching/Tip-Pdf/Tip1-29.pdf

Please help and explain

Answers

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Answer:

  d.  f(2) < g(2)

Step-by-step explanation:

The attached table and graph shows how the functions relate for the various x-values of interest. The true statement is ...

  f(2) < g(2)

  -3 < 0

A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar

How much oil should kin use?Complete the Table

Answers

Answer:

36 ounces.

Step-by-step explanation:

The ratio being 24:8 can be simplified to 3:1

Multiply the one (the vinegar) by a factor of 12

What happens to one side has to happen to the other

12(3:1)

36 ounces.

Answer:36

Step-by-step explanation:

What is the area of triangle in centimeters squared?

Answers

112 centimeters squared
Explanation:
The formula for area of a triangle is:
1/2 • base • height

Use formula with the given dimensions of this triangle:
1/2 • 14 • 16 = 112
(Use the HEIGHT that is PERPENDICULAR to the base)

FINAL ANSWER W/ UNIT OF MEASUREMENT
112 centimeters squared

Hope this helps!
-SpaceMarsh, have a nice day

What is X? (I forget how to do this)

Answers

Answer:

180-35=145

x=145

*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.

x = 180 - 35

x = 145.

The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.55 oz. Suppose we take a random sample of 56 bottles filled by this machine. So, 75% of the sample means will be less than what value

Answers

Answer:

0.9836

Step-by-step explanation:

Which unit of measure would be appropriate for the area of a picture that is
20 centimeters tall and 15 centimeters wide?
A. Meters
B. Cubic centimeters
C. Square centimeters
D. Centimeters

Answers

Answer:

C:  Square centimeters

Step-by-step explanation:

We are measuring length here, not volume, so recognize that this fact eliminates Answer B.  The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C:  Square centimeters.

Square Centimeters is the right answer

In 2006 the number of tickets sold was 210.
The ratio Number of adult tickets: Number of student tickets was 23:19.
How
many
adult tickets were sold?

Answers

Answer:

115

Step-by-step explanation:

There were 115 adult tickets were sold.

What is ratio?

A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given that, the number of tickets sold was 210. The ratio Number of adult tickets: Number of student tickets was 23:19.

Let the number of tickets sold for adults be 23x and for students be 19x

Therefore, 23x+19x = 210

42x = 210

x = 210/42

x = 5

So,  Number of adult tickets = 5x23 = 115

Hence, There were 115 adult tickets were sold.

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ2

If x-12y=-210and x-6y=90 then x =

Answers

Answer:

90

Step-by-step explanation:

x

12

y

=

210

=

=

210

x

6

y

=

90

=

=

90

x

=

=

90

According to recent reports, Apple Inc. holds 27.6% of the Tablet Computer market. Suppose a consumer research company believes that 27.6% is too high and undertakes a survey to see if their suspicion is supported by the sample data. A random sample was taken of tablet computer purchases and find that of 200 purchases, 52 are Apple tablet computers. The P-value is 0.3064 and the hypothesis is : H:P = 0.276 H:P < 0.276 You would conclude at a significance level of 5%.
There is statistically significant evidence that Apple Inc. holds less than 27.6% of the tablet computer market.
there is a 30.36% chance that Apple Inc. holds at least 27.6% of the Tablet computer market.
we don't have sufficient evidence to support the claim
We have sufficient evidence to suppot the claim, that Apple holds less than 27.6%

Answers

Answer:

We don't have sufficient evidence to support the claim

Step-by-step explanation:

Null hypothesis:

[tex]H_0: p = 0.276[/tex]

Alternate hypothesis:

[tex]H_1: p < 0.276[/tex]

The P-value is 0.3064

0.3064 probability of finding a sample proportion lower than the one found.

The p-value is higher than the significance level of 0.05, which means that there is no sufficient evidence to support the claim.

Need help with this question please <<><>>

Answers

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Answer:

  √7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides. Let x represent the unknown side. Then we have ...

  x² +9² = (√88)²

  x² +81 = 88

  x² = 7 . . . subtract 81; next, take the (positive) square root

  x = √7 . . . . the third side

Classify the following as discrete or continuous random variables.
1. The weight of bags of apples, with 10 apples in each bag.
2. The number of times required for a modem to dial an internet provider before connecting.
3. Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
4. A pair of dice is rolled, and the sum to appear on the dice is recorded.

Answers

Answer:

A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}

While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.

1)  The weight of bags of apples, with 10 apples in each bag.

Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.

2) The number of times required for a modem to dial an internet provider before connecting.

Same as before, here we can have only a whole number of attempts, so this set is discrete.

3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.

Here we will have an average of 10 integer numbers:

[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]

so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.

4)  A pair of dice is rolled, and the sum to appear on the dice is recorded.

Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.

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