A city is paving a bike path. The same length of path is paved everyday. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path remaining to be paved.

a. Explain how you know the situation can be modeled by a linear equation.

b. Write an equation that gives the distance (in miles) as a function of the number of days since the project began.

c. In how many more days will the entire path be paved?

Answer: 4/3

Step-by-step explanation: When we use the word "negative reciprocal",

it's just a fancy way of saying flip the fraction and change the sign.

So the negative reciprocal of -3/4 is 4/3.

To find the sum of 4 consecutive integers, set up an equation and solve for the unknown numbers. The solution is the four consecutive integers 31, 32, 33, and 34.

To find the sum of 4 consecutive integers, we can set up an equation and solve for the unknown numbers. Let's assume the first number is n.

So, the sum can be represented as n + (n+1) + (n+2) + (n+3) = 130.

Combining like terms, we get 4n + 6 = 130. Solving this equation, we find that n = 31. Therefore, the four consecutive integers are 31, 32, 33, and 34.

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The answer is 93000000

Allow 10 to the power of 7 is 10000000

10000000 times 9.3 = 93000000

The graph of the function y = 5x + 4 with domain x ≤ 0 is shown below.

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

The given function is,

y = 5x + 4

And the domain of the function is x ≤ 0.

To draw the graph of the line y = 5x + 4

The slope of the line m = 5.

And y intercept at x = 0

y = 5(0) + 4

y = 4

Also, the domain is x ≤ 0.

So the graph can be represented as given below.

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The required regroup of the sum of 64+43 into 60+4 and 43 into 40+3.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches.

The sum of two numbers is given in the question as:

64 + 43

As per the given condition, the required solution would be as:

To regroup, just separate the larger numbers into smaller amounts that can be put together more easily. We frequently reorganize numbers into those that terminate in 0 because they are easier to add. For example, 64 may be divided into 60+4 and 43 into 40+3. This makes adding easy since you can first add 60 and 40, which equals 100. The smaller numerals 100+4+3=107 can then be added.

Thus, the required regroup of the sum of 64+43 into 60+4 and 43 into 40+3.

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The expression (2x - 17) is equivalent to (-17 + 2x). So, option A is the correct answer.

To determine which expression is equivalent to (2x - 17), we can use the distributive property to simplify each option.

A) (-17 + 2x):

This expression is equivalent because of the commutative property of addition. So, (A) is correct.

Here's the detailed calculation:

Given expression: [tex]\(2x - 17\)[/tex]

We'll use the distributive property:

[tex]\(2x - 17 = (2x) + (-17)\)[/tex]

Thus, the expression is already in the form of option A, which is [tex]\(-17 + 2x\)[/tex]. So, option A is the correct answer.

In summary, the expression (2x - 17) is equivalent to option A, (-17 + 2x).

The 2/3 meter long metal rod can be divided into 8 pieces each of length 1/12 meters by dividing the total length of rod with the length of each piece.

The subject of this question is mathematics, and it involves division. When we are given a total length and the length of each piece, we can find the number of pieces by dividing the total length by the length of each piece.

Here, the total length of the metal rod is 2/3 meters. Each piece that we want to cut is 1/12 meters long.

To find the number of pieces, we simply perform the division: (2/3)÷(1/12). When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So this becomes (2/3)*(12/1) = 24/3 = 8 pieces.

So the metal rod can be cut into 8 pieces each 1/12 meter long.

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Answer:

1 output for 1 input

Step-by-step explanation:

A relation is a function if there is exactly one output for each input.

Hence, Option 3 is true.

We know that;

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

A relation is a function.

Hence, We get;

A relation is a function if there is exactly one output for each input.

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Answer:

no the answer is actually c if on usatestprep, Don't say random answers.

Step-by-step explanation:

The answer would be 1500g.= 1.5 kg.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, given that,

weight= 1.5 kg.

since there are 1000 grams in a kilogram.

For every,

1 kilogram there's 1000 grams

so, if you were to have 1.5 kilograms you'd have

1,500 grams.

500 is half of 1000 so if you have a 0.5 you'd have 500 grams

which you would then add 500 to 1000 which would result 1500.

Hence, the answer is 1.5 kg= 1500.

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The mixed number 5 1/6 can be converted into a rational number. This is done by multiplying the whole number by the denominator, adding the numerator, and then placing this value over the denominator. Thus, 5 1/6 as a rational number is 31/6.

The number 5 1/6 is a mixed number. You can convert it to a rational number, which is a number that can be expressed as a quotient or division of two integers. A rational number is represented by 'p/q' where p and q are integers and q is not equal to 0.

To convert 5 1/6 into a rational number, you would first multiply the whole number (5) by the denominator of the fraction (6), then add the numerator of the fraction (1). This gives you the new numerator. The denominator remains 6. The calculation would look like this: (5×6 + 1)/6 = 31/6.

So, 5 1/6 as a rational number is 31/6.

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Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch   : 176 males, 264 females

Total number of peoples is

[tex]46+254+176+264=740[/tex]

Total number of males is

[tex]46+176=222[/tex]

The probability of male is

[tex]P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3[/tex]

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

[tex]176+264=440[/tex]

The probability of persons who buys lunch is

[tex]P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}[/tex]

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

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

P(male | buys lunch)[tex]=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}[/tex]

P(male | buys lunch)[tex]=\frac{\frac{176}{740}}{\frac{22}{37}}[/tex]

P(male | buys lunch)[tex]=\frac{2}{5}=0.4[/tex]

Therefore the correct option is 4.

Answer: it’s D

Step-by-step explanation:

Now lemme get on tik tok dang

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

The statement indicates that in a survey 1,100 people of 2,000 surveyed said that they would buy the car they have again and from this, you can inferred that they are satisfied with the car. So, to calculate the percentage of people surveyed that were satisfied with the car you have to divide 1,100 by 2,000 that is the total number of people surveyed and then, multiply the result by 100:

1,100/2,000=0.55*100= 55%

To plot -2 1/2 and 1 3/4 on a number line, draw a line with zero at middle. Move 2.5 units to the left from zero for -2 1/2 and place a dot. Then, move 1.75 units to the right from zero for 1 3/4 and place a dot.

To plot the numbers -2 1/2 and 1 3/4 on a number line, you first need to understand that these are mixed numbers. -2 1/2 means "two and a half units to the left of zero", whereas 1 3/4 means "one and three quarters units to the right of zero".

Step 1: Draw a number line with zero in the middle. Include distance markers each representing 1 unit. For the purpose of this exercise, let's say negative numbers are on the left and positive numbers are on the right.

Step 2: To plot -2 1/2, start at 0 and move 2.5 units to the left (-2 for the whole number and -0.5 for the fractional part). Place a point here.

Step 3: To plot 1 3/4, start at 0 and move 1.75 units to the right (+1 for the whole number and +0.75 for the fractional part). Place a point here.

This is how you plot the numbers -2 1/2 and 1 3/4 on a number line.

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Answer:

0.85

Step-by-step explanation:

17/20=0.85

let x = miles

we have x miles/ 60mph plus x miles / 40 mph = 1 hour

x/60 + x/40 = 1

 we need to calculate 2x for the round trip

calculate common denominator and rewrite the 2 fractions:

2x/120 + 3x/120 = 1

5x= 120

x = 120/5 = 24 miles

24*2 = 48 miles total

 check:

 1 way would be 48/2 = 24 miles

24/60 = 0.4 hours to drive 24 miles at 60 mph

24/40 = 0.6 hours to drive 24 miles at 40 mph

0.6 +0.4 = 1 hour