If the expression below models the number of applicants for a credit card, what is the correct interpretation of the second factor?

There were 6.75 times as many people who applied in the 4th month as in the first month.
There were 1.2 times as many people who applied in the 4th month as in the first month.
There were 2.07 times as many people who applied in the 4th month as in the first month.
There were 4.8 times as many people who applied in the 4th month as in the first month.

The difference between the maximum and minimum area of the soccer field is found by calculating the maximum and minimum area using the given dimensions, and then subtracting the minimum area from the maximum area. Result is 4100 square yards.

First, the area of a rectangle (like a soccer field) can be found with the formula Area = Length x Width. To find the difference between the maximum area and the minimum area of the field, we'll need to do two calculations.

For the maximum area, we'll use the maximum length of 120 yards and the maximum width of 80 yards: Max Area = 120 yards x 80 yards = 9600 square yards.

For the minimum area, we'll use the minimum length of 100 yards and the minimum width of 55 yards: Min Area = 100 yards x 55 yards = 5500 square yards.

Now you subtract the minimum area from the maximum area: 9600 square yards - 5500 square yards = 4100 square yards. This is the difference in area between the smallest and largest possible soccer fields.

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Answer:

c cause i took the sat practice

The number of gallons (g) that Ms. Brown have to pump into her car to fill her tank will be g = 15 – 15f. Then the correct option is C.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The gas tank in Ms. Brown's car holds a total of 15 gallons.

At any given time.

The number of gallons (g) that Ms. Brown have to pump into her car to fill her tank given the fraction of the tank, f, already filled will be

The gas in a tank will be

⇒ 15f

Then number of gallons (g) will be

⇒ 15 – 15f

Then the correct option is C.

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The cafeteria can seat 120 people.

Let's denote the number of 3-legged stools as S and the number of 4-legged chairs as C. According to the problem, there are the same number of stools and chairs, so we have:

S = C

Next, we are told that the stools have 120 fewer legs than the chairs. Since each stool has 3 legs and each chair has 4 legs, we can set up the following equation:

3S + 120 = 4C

Since S = C, we can substitute C for S in the equation:

3C + 120 = 4C

Now, let's solve for C:

120 = 4C - 3C

120 = C

Now that we know there are 120 chairs, and since the number of stools is the same as the number of chairs, there are also 120 stools. Each chair can seat one person, and each stool can also seat one person, so the total number of people that can be seated is the sum of the number of chairs and stools:

Total seating = C + S

Total seating = 120 + 120

Total seating = 240

However, since there are only 120 chairs and 120 stools, and we cannot have half a piece of furniture, the maximum number of people that can be seated is the number of chairs or stools, which is:

Total seating = 120

Therefore, the cafeteria can seat 120 people.

multiply number of pants and number of shoes

18 * 16 = 288 combinations

The answer in decimal to the expression −3.1+(−0.35) is - 3.45.

A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.

Given:

The expression: - 3.1 + (-0.35)

Use the sign convention given below to solve the above expression,

[tex]+ + - =[/tex] sign of the larger number,

[tex]-+- = -[/tex]

[tex]+\times - = -[/tex]

Here when the bracket opens use the second sign convention,

- 3.1 - 0.35 = - 3.45

Therefore, the answer in decimal to the expression −3.1+(−0.35) is - 3.45.

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Answer:

The answer is D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can divide using the calculator by entering in 59, 584 first followed by 14 before the division sign.

We can also perform long division:

       __4256_____

 14  |   59, 584

         -56____

              35

              -28____

               78

              -70____

                 84

                -84____

                   0

the LCM for 9 and 30 is 90

LCM for a = a^2 and ab^2 = a^2

LCM for b =  bc^3 and abb^2 =b^2

 LCM for c = bc^3 and c^3 = C63

 so answer is 90a^2b^2c^3

The probability of one arrives within the next 10 minutes when he already been waiting for one jour for a taxi is,

P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10) = 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1

= 0.3679

The probability of one arrives within the next 10 minutes when he already been waiting for one hour for a taxi is 0.3679

Wendy will get $8750.

We have a total of 15000 that is to be divided between Jon and Wendy with Jon to receive 2500 less than Wendy how much will she receive.

We have to determine how much money will Wendy receive.

Assume your brother gets x number of chocolates.

Then, you will get - x + 5.

Therefore -

x + x + 6 = 20

2x = 14

x = 7

According to the question -

Assume that Wendy receives $x.

Then Jon will receive $(x - 2500).

Then -

x + x - 2500 = 15000

2x = 17500

x = 8750

Hence, Wendy will get $8750.

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Answer:

A segment whose length is 9 units.

Step-by-step explanation:

A segment whose length is 9 units.

All we have is a bisection that divides equally segment JK in two parts. And M is the Midpoint what reassures us that JM=MK, so plugging in:

3x+15=8x+25

3x-8x=25-15

-5x=10

5x=-10

x=-2

JM=3(-2)+15 =9

MK=8(-2)+25=9

Answer:

Step-by-step explanation:

Answer:

slope

Step-by-step explanation:

The compound inequality expression expressing the required score to obtain a B grade is 80 ≤ (169 + t) ≤ 89

Test scores :

Range of B - grade:

Let the her score in the last test = t

Final average score will be :

To obtain a B grade :

The compound inequality expression can be expressed thus :

Therefore, the compound inequality expression is 80 ≤ (169 + t) ≤ 89

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Sanjay needs to ride his bike for 3 weeks to cover a distance of

150 kilometers.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Sanjay rides his bike to work 15 kilometers in two days.

∴ In one day he rides (15/2) = 7.5 kilometers.

So, to ride his bike for 150 kilometers he needs (150/7.5) = 20 days.

We know 1 week is 7 days.

∴ Sanjay needs (20/7) = 2.86 weeks, but weeks comes in integers and we'll choose 3 weeks as in 2 weeks he won't be able to cover a distance of 150 kilometers.

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Answer:

-2

6

Step-by-step explanation:

Answer:

The answer to the question is a

Answer:130

Step-by-step explanation:

There are 24 pages in the magazine that do not have advertisements.

To find the number of pages without advertisements in a 96-page magazine, we first calculate the number of pages with advertisements.

Calculate 75% of 96 (since 75% of the pages have advertisements).

[tex]\( 75\% \times 96 = 0.75 \times 96 = 72 \)[/tex] pages with advertisements.

Subtract the pages with advertisements from the total number of pages to find the pages without advertisements.

[tex]\( 96 - 72 = 24 \)[/tex] pages without advertisements.

So, there are 24 pages in the magazine that do not have advertisements.

The solution of the inequality [tex]3x + 1 < 7[/tex] is [tex]\boxed{x < 2}.[/tex]

Further explanation:

There are two types of the interval close interval and open interval.

If the values of [tex]\text{x}[/tex] doesn’t includes the number than it is represented by hollow dot on the number line and if the values of [tex]\text{x}[/tex] includes the number than it is represented by the solid dot on the number line.

Given:

The inequality is [tex]3x + 1 < 7.[/tex]

Explanation:

The given inequality is [tex]3x + 1 < 7.[/tex]

Subtract 1 from both side of the inequality.

[tex]\begin{aligned}3x + 1 - 1 &< 7 - 1\\3x &< 6\\\end{aligned}[/tex]

Now divide both sides by 3.

[tex]\begin{aligned}\frac{{3x}}{3} &< \frac{6}{3}\\x&< 2\\\end{aligned}[/tex]

The solution of the inequality [tex]3x + 1 < 7[/tex] is [tex]\boxed{x < 2}.[/tex]

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Compound inequalities

Keywords: solution, [tex]3x + 1 < 7[/tex], inequalities, graph, compound inequality, graph representation, number line, close interval, open interval, line graph.

In the problem, we are given that the probability of getting a bear is equal to p. Where probability is the share of successful outcome in this case is the bear) over total outcomes (total amount of prizes).

The likelihood of not receiving a bear two times in a row is containing of 2 tries:

try 1: 1st spin gets a bear, 2nd spin does not receive a bear

total probability of try 1 = p * (1 – p)

try 2: 1st spin does not get a bear, 2nd spin gets a bear

total probability of try 1 = (1 – p) * p

The total probability of the 2 tries is just the sum of the 2:

Overall probability of not getting a bear twice in a row= p * (1 – p) + (1 – p) * p

Simplifying this will give us:

Overall probability of not getting a bear twice in a row = 2p * (1 – p)

Therefore, the likelihood of not receiving a bear twice in a row > 3 times the probability of getting the teddy bear. Rewriting the statement, will give us the inequality of 2p * (1 – p) > 3 p

To compare the probability of getting the teddy bear to the probability of not getting the teddy bear, use the inequality p^2 + 3p - 1 < 0.

To write an inequality that compares the probability of getting the teddy bear to the probability of not getting the teddy bear, we can use the inequality sign. Let's represent the probability of getting the teddy bear in one try as 'p'. Since we want the probability of not getting a bear twice in a row to be greater than 3 times the probability of getting the teddy bear in one spin, we can write the inequality as:

1 - p * p > 3p

Simplifying the inequality, we get:

1 - p^2 > 3p

Then, rearranging the terms, we get:

p^2 + 3p - 1 < 0

This is the inequality that compares the probability of getting the teddy bear to the probability of not getting the teddy bear.

The transformation performed on QRST to form Q'R'S'T' is a 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left.

The transformation of the polygon QRST to Q’R’S’T’ involves a series of steps. To determine these steps, we look at the movement of each vertex from the original polygon to the new. The coordinates of Q change from (3, -5) in QRST to (-5, -4) in Q'R'S'T'. This signifies a 180-degree clockwise rotation about the origin followed by a translation. Given the options, the answer is ‘A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left.’

Let's walk through how this works: The rotation leaves us with points Q at (-3, 5), R at (-2, 1), S at (-5, 0) and  T at (-5, 4). The translation of 1 unit to left then changes these coordinates to Q' at (-4, 5), R' at (-3, 1), S' at (-6, 0), and T' at (-6, 4), hence matching the given coordinates of Q'R'S'T'.

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Answer: S

Step-by-step explanation:

On Ap