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An equation to show the relationship between the cost, c, and the gallons of gasoline, g is; c = 4g

The general form of a linear equation in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are told that the cost of 5 gallons of gasoline is $20. Thus, the cost of one gallon of gasoline = 20/5 = $4 per gallons

Therefore if he cost is c, and the gallons of gasoline is denoted by g, then the formula to find the cost with these letters is;

c = 4g

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Answer: y=3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

3/4=(y2-y)/(x2-x1)

3/4=(-3-y)/(-1-7)

3/4=(-3-y)/(-8)

(3/4=(-3-y)/(-8))*(-1) ==> Negate the equation to remove the negative denominator

-3/4=(-3-y)/8

8*(-3/4)=(-3-y)/8 * 8

8*(-3/4)=(-3-y)/8 * 8

-24/4=-3-y

-3-y=-6

-3+3-y=-6+3

-y=-3

y=3

Answer:

Step-by-step explanation:

because the y points are the same, you'd only have to worry about the x points on the coordinate plane. assuming each unit equals 1 count the distance between  points a and b or 11 to 4, which would be 7.

The correct option is a)58500.

The number of different registration number possible when the repetition is not allowed is 58500.

Selections are another name for combinations. Combinations are the selection of items from a given set of items.

Now, according to the given question;

The total number of digits mentioned on the number plate is 4.

The first place is to be filled by letter.

We know that there are total 26 letter. So, there are total 26 possible ways in which the place is filled.

Now, the second place is also to be filled by the letter, but now the letter left are 25. Thus, possible fillings is by 25 letter.

The third position is to be filled by number; there are 10 number (0 - 9) by which the position can be filled.

The fourth position is also to be filled by the number; but now the numbers left are 9.

Thus, the total combination is;

= 26×25×10×9

= 58500

Therefore, there are 58500 possible ways in which the number plate can be formed.

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Answer:

3/8

Step-by-step explanation:

hope this works for you :)

Answer:

the answer is 3/8

Step-by-step explanation:

5/8 + 3/8 = 1

The truth value of the conditional statement is false

How to determine the truth value of the conditional statement?

The conditional statement is given as

“If a number is greater than -500, then the number is greater than 500.”

The above conditional statement is false

This is because not all numbers greater than -500 are greater than 500

for example 450 is greater than -500, but less than 500 that is the number between -500 and 500 will not satisfy the above statement.

Hence, the truth value of the conditional statement is false

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The constant percent rate of change is of 4%

Using compound interest, it is found that the constant percent rate of change is of 4%.

The formula for an amount of money invested into compound interest is given by:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

In which:

A(t) is the amount after t years.

A(0) is the initial amount.

r is the constant percent rate of change.

t is the time.

The function is:

[tex]g(x)=300(1.04)^{x}[/tex]

Thus, for the constant percent rate of change:

1+r = 1.04;

r = 0.04;

0.04 × 100% = 4%

The constant percent rate of change is of 4%.

An annual percentage rate is expressed as an hobby charge. It calculates what percentage of the major you will pay every year by using taking things inclusive of month-to-month bills under consideration. APR is also the annual rate of interest paid on investments without accounting for the compounding of interest within that year.

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Answer:

(C)  [300, ∞)

Step-by-step explanation:

Got it right on my quiz.

Power is the result of multiplying same number for n number of times.  The value of the given expression when simplified is equal to 75.

Power is the result of multiplying same number for n number of times. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be simplified as shown below.

(5⁴ × 3³) / (5² × 3²)

= (625 × 27) / (25 × 9)

= 16,875 / 225

= 75

Hence, the value of the given expression when simplified is equal to 75.

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Answer: M(5,7)

Step-by-step explanation:

[tex]\displaystyle\\C(3,5)\ \ \ \ \ D(7,9)\ \ \ \ \ M(x_M,y_M)=?\\\\M(x_M,y_M)=(\frac{3+7}{2},\frac{9+5}{2})\\\\ M(x_M,y_M)=(\frac{10}{2},\frac{14}{2} )\\\\ M(x_M,y_M)=(5,7)[/tex]

Answer:

TN/TS=NM/RS

[tex] \frac{240}{120} = \frac{x}{70 } \\ 120x = 16800 \\ x = 140[/tex]

Value of a and b that completes the mapping diagram will be a=0 and b=1

• Mapping diagram simply means a function that has a special type of relation where the elements of the domain are paired with that of the range.

• Mapping diagram consists of two parallel columns, the first column depicts the domain of the function whereas the second column depicts the range.

• Lines are drawn from first column to second column i.e. from domain to range, to represent the relation between 2 elements.

• Mapping is quite similar to making a flowchart, showing input and output values.

• Point to be noted that every mapping is a relation but every relation is not a mapping.

Value of a and b that completes the mapping diagram will be a=0 and b=1

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Answer: A = 0, and B = 1.

Step-by-step explanation: I put 0, and 1, and it was the perfect answer.

Answer:-61

Step-by-step explanation:

Answer:

2-3-7-9-6-7-8-6-5-7-7=-63

Step-by-step explanation:

Hope it helps!!!

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3230 Kilograms of the soil supplement are required for the entire Vineyard.

Some units that need to be recalled are as follows:

1 km = 1000 m

1 km^2 = 1000000 m^2

1 km^2 = 247 acres

1 kg = 1000 g

Let's tackle the problem now:

A vineyard has 145 acres of Chardonnay grapes.

145 acres = [tex]\frac{145}{247}[/tex]× 1 km^2

145 acres = 145/247 km^2

145 acres ~ 0.587 km^2

A particular soil supplement requires 5.50 grams for every square meter of vineyard

1m^2 → 5.50 gram

1 km^2 = 10^6 →5.50 x 10^6 gram

1 km^2 →5.50 x 10^6 x 10^-3 kg

1 km^2 →5.50 x 10^3 kg

145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg

145 acres → 797500/247 kg

145 acres → 3230 kg

It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.

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Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A

The given parameters are:

Exam A

Score = 710

Mean = 700

Standard deviation = 25

Exam B

Mean = 200

Standard deviation = 50

The z-score is calculated as

z = (Score - Mean)/Standard deviation

For exam A, we have

z = (710 - 700)/25

z = 0.4

For exam B, we have

z = (Score - 200)/50

Substitute z = 0.4 in z = (Score - 200)/50

0.4 = (Score - 200)/50

This gives

Score - 200 = 20

Add 200 to both sides

Score = 220

Hence, Levi must score 220 in Exam B in order to do equivalently well as he did in Exam A

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The possibility that experimental results are due to chance, or some factor other than the experimental variable, is measured by the Probability Value.

Probability value, also called P-value, is defined as:

Under the premise that the null hypothesis is true, the p-value is the likelihood that test findings will be at least as extreme as the result actually observed.

Now,

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Answer:

Step-by-step explanation:

74 caps

Qualitative data is being collected from the focus group.

Given that, a focus group was formed to provide opinions for a target market.

A group of people assembled to participate in a discussion about a product before it is launched, or to provide feedback on a political campaign, television series, etc.

Focus group used to gather qualitative data and in-depth insights, they enable researchers to collect information on anything from products and services to beliefs and perceptions in order to reveal true customer attitudes and opinions.

Therefore, qualitative data is being collected from the focus group.

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Answer:

24.5 = 3.50 * 7

Step-by-step explanation:

I used multiplication.

Answer:

y=x+b

3.50=7x

Step-by-step explanation:

7 is how many apples sally bought

it is $3.50 for 7 apple so $3.50 is y

7 times the price for one apple is $3.50

which also means each apple is $0.50

3 full shifts of 3/4 hour and 1 half shift of 3/4 hour

Shift work is an employment strategy intended to utilize or give service during each of the seven days of the week's full 24 hours. The day is often divided into shifts, predetermined times when various groups of workers carry out their tasks.

Total work hours = 2.625 hours

Each shift = 0.75 hr

Number of shifts = Total work hours / Each shift

                            = 2.625 / 0.75

                            = 3.5

Therefore, He worked three full shifts of three hours each and one half-shift of three hours.

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Answer: A

Step-by-step explanation:

Angles on a straight line must add up to 180 so angle BCA is 180-132=48

Because the triangle BAC is an isosoles angle BCA and ABC must be the same so 48

We can now use the angle on a straight line rule to figure out angle DBA 180-48=132

We know that triangle DBA is an isosoles trianlge so and x and DAB must be the same and both be x, and we know that angles in a triangle add up to 180 so the equation can be written as:

180=2x+132

48=2x

x=24

Answer:

Step-by-step explanation:

volume of the tank:

30cm*24cm*18cm

12960cm^3

rate=amount/time

time=amount/rate

time=12960cm^3/864cm^3/min

time=12960/864 min

time=15min

Answer: 17.9 meters

Step-by-step explanation:

400.8 meters perimeter,

182.5 meters length,

So,  Width= (400.8/2)-182.5

Width= 17.9 meters

Answer:

c = -6

Step-by-step explanation:

add 9c to both sides to get 61 + 9c = 7

subtract 61 from both sides to get 9c = -54

divide by 9 to get c = -6

Answer:No this is not equivalent.

Answer:

No

Step-by-step explanation:

Both fractions have been simplified as much as possible and aren't the same. They are not equivalent for this reason.

I wasn't entirely sure how to explain this but I hope this helps!

The slope of equation  y = -5/6 x + 4 is -5/6 and the slope-intercept form of -5/6x+4 is y = -5/6 x + 4

The slope of a function y = f(x) is given by a formula

slope = y2-y1 / x2- x1

where ( x1 , y1) and (x2, y2) are coordinates of any two points on the line of graph representing y = f(x)

Or we can simply use the slope-intercept form

y = mx+ c

where m is the slope of the given equation and c is the constant

so, in  the given equation y = -5/6 x + 4

slope of the equation is -5/6

Hence, The slope of equation  y = -5/6 x + 4 simply is -5/6 and the slope intercept form of -5/6x+4 is y = -5/6 x + 4

When you know the slope of the line to be investigated and the point given is also the y intercept, you can utilize the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula.

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The coordinates of point E is (-2, -1.5)

How to determine the coordinates of point E?

see in the file attached below

The given parameters are

C = (1, 6)

D = (-3, -4)

The ratio 3/4 can be represented as:

m : n = 3 : 1

So, the coordinate of point E is

E = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)

Evaluate

E = 1/(4) * (-8, -6)

This gives

E = (-2, -1.5)

Hence, the coordinates of point E is (-2, -1.5 )

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Answer:

SA = 301.44 in²

Step-by-step explanation:

SA = 2πr² + 2πrh ← factor out 2πr from each term

     = 2πr(r + h)

substitute r = 4 and h = 8

SA = 2π × 4 × (4 + 8) ← substitute π = 3.14

     = 2 × 3.14 × 4 × 12

     = 6.28 × 48

     = 301.44 in²

The new length of the string that Ed have now is  16.25 feet.

Fraction is some part of a total quantity.

Ed has a kite and a string of length[tex]7\frac{3}{4}[/tex] feet which is = [tex]\frac{31}{4}[/tex] feet.

He wants to extend the sting length so he added another 8.5 feet which is

= [tex]\frac{17}{2}[/tex] feet.

∴ The total length of the string will become

(31/4) + (17/2) feet.

= (31 + 34)/4 feet.

= 65/4 feet.

= 16.25 feet.

So, after he extended his string it has a length of 16.25 feet.

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Answer:

To find the new length of the string, we need to add the length of the new piece of string to the existing length.

The current string length is 7 and 3/4 feet. This can be written as a mixed number, 7 + 3/4 = 7 3/4.

The new piece of string measures 8.5 feet.

To add these two lengths, we can convert the mixed number to an improper fraction and then add the fractions together.

7 3/4 can be converted to an improper fraction as (7 * 4 + 3) / 4 = 31/4.

Now we can add the fractions:

31/4 + 8.5 = (31/4) + (8.5 * 4/4) = 31/4 + 34/4 = 65/4

To simplify the fraction, we can divide the numerator (65) by the denominator (4) to get the whole number part and the remainder.

65 ÷ 4 = 16 remainder 1

So the new length of the string is 16 1/4 feet.

Therefore, the new length of the string is 16 and 1/4 feet.

Step-by-step explanation: