A rancher is filling a trough for her horses. The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. How long will it take for the trough to have 80 gallons of water?

Answer:

The answer is most definitely A. It is the only answer that reaches the correct value of 190, which is what 5 * 38 equals. However, to put it into perspective...

Step-by-step explanation:

When we use the distributive property we are breaking down something sometimes, and in this case, very simple into a more extended form.

5 * 38 is the same as saying 5(40 - 2). We also know that if we subtract the sum of 5 * 2 from 5 * 40, it will end up the same as 5 * 38 because you are multiplying 5 two times less.

5 * 40 = 200

5 * 2 = 10

200 - 10 = 190

The answer is A

;)

A model of a famous statue is  [tex]3\frac{1}{2}[/tex]inches tall. The actual statue is  [tex]5\frac{1}{4}[/tex] feet tall, the ratio of the height of the model to the height of the actual statue in simplest​ form is  [tex]3\frac{1}{2}[/tex]:63

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of the lemons to oranges is 6:8 (or 3:4). (or 4:7).

A ratio can have any number of quantities, such as counts of people or things or measurements of the length, weight, time, etc. Both the numbers must be positive in most situations.

You can specify a ratio by either writing out both of the integers that make it up, "a to b" or "a:b", or by giving just the value of their quotient a/b. Equal quotients correspond to the equal ratios.

A ratio can therefore be thought of as an ordered pair of integers, a fraction with first number in the numerator and the second in the denominator, or as the value represented by this fraction. Ratios of the counts that are expressed in terms of (non-zero) natural numbers are rational numbers and occasionally natural numbers as well. The ratio of the two numbers is a dimensionless number when they are measured using the same unit, which happens frequently. A rate is product of two quantities that are divided by their respective units of measurement.

Given,

A model of a famous statue is [tex]3\frac{1}{2}[/tex] inches tall.

The actual statue is [tex]5\frac{1}{4}[/tex] feet tall

1 feet = 12 inches

21/4 ft = 12*21/4 inches = 63 inches

Therefore the ratio is

[tex]3\frac{1}{2}[/tex]:63

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Answer: -8°

Step-by-step explanation: the temperature dropped by 64 degrees over the span of 8 hours. 64/8 = 8.

The average rate of change over the interval is 10 and it tells us about the slope

The definition of the function is given as

f(x) = 2.5xsquared + 3

Rewrite the function properly

So, we have the following equation

f(x) = 2.5x² + 3

The interval to calculate the average rate of change is given a

0 ≤ x ≤ 4

This can be represented as

[0, 4]

Further, rewrite as

[a, b] = [0, 4]

Where a = 0 and b = 4

Calculate f(a) and f(b)

So, we have

f(0) = 2.5(0)² + 3 = 3

f(4) = 2.5(4)² + 3 = 43

The average rate of change is then calculated as

Average rate = [f(b) - f(a)]/[b - a]

Substitute the known values in the above equation

So, we have

Average rate = [43 - 3]/[4 - 0]

Evaluate

Average rate = 10

The average rate is the slope of the function

This means that it represents the amount of change in the function with respect to the change in the input variables

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Answer:

7b + 6

Step-by-step explanation:

Given expression,

→ 5b + 10 + 2b - 4

Let's solve the expression,

→ 5b + 10 + 2b - 4

→ (5b + 2b) + (10 - 4)

→ 7b + 6

Hence, answer is 7b + 6.

If both Santi and Vlado drove for the same amount of time with Santi driving at 75% of Vlado's average speed, and they covered 1304 miles in 24 hours, then Santi had driven for approximately 559 miles.

As per the question statement, Santi and Vlado drove together from New York to New Orleans. Both of them drove for  the same amount of time with Santi driving 75% as quickly as Vlado, and it took them 24 hours to complete the 1304 miles journey.

We are required to calculate the approximate number of miles, that Santi drove during their trip.

Since given that, Both of them drove for  the same amount of time and it took them 24 hours to complete the 1304 miles journey, therefore, both Santi and Vlado drove for (24/2) = 12 hours each.

Now, let us consider that Vlado drove at an average speed of "v" miles/hour.

Then, Santi would have driven at a average speed of [(75/100)v] m/h

                                                                                      = (0.75v) m/h

                                                                                      = 0.75V miles/hour

[Since Santi drove 75% as quickly as Vlado]

Now as we know that, [(speed * time) = distance], applying the same formula to the velocities and driving times of Santi and Vlado, we get,

[{(12 * v) + (12 * 0.75v)} = 1304]

Or, [(12v + 9v) = 1304]

Or,(21v = 1304)

Or, v = [(1304/21)]

Or, (v = 62.095 miles/hour)

Or, (v ≈ 62.1 miles/hour)

That is, Vlado drove at an average speed of 62.1 miles per hour,

And, Santi drove at an average speed of (62.1 * 0.75) miles per hour

                                                                 = (46.575) miles per hour.

Therefore, Santi drove a total of (46.575 * 12) = 558.9 miles ≈ 559 miles,

as he drove at an average speed of 46.575 miles per hour, for 12 hours.

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The maximum price Charlie and Linus are wiling to pay to enter each park is 10.5 dollars.

Charlie Brown and Linus are so excited for Halloween that they have planned trips to three different parks.

They are willing to pay no more than $40 to go to all of them.

Jones’ Corn Maze has an entry fee that is $4 less than double the amount of Tomilloso’s Pumpkin Patch entrance fee.

King’s Haunted House has an entry fee that is $2 more than Tomilloso’s Pumpkin Patch.

let

x = amount of Tomilloso’s Pumpkin Patch entrance fee

Therefore,  the inequality that represent the situation is as follows;

Jones’ Corn Maze an entry fee = 2x - 4

King’s Haunted House entry fee = 2 + x

Therefore,

2x - 4 + 2 + x + x ≤ 40

4x - 2 ≤ 40

add 2 to both sides of the inequality

4x - 2 + 2 ≤ 40 + 2

4x ≤ 42

divide both sides of the inequality by 4

4x  / 4 ≤ 42 / 4

x ≤ 10.5

Therefore, the maximum price they can pay is 10.5 dollars

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The absolute value equation with the solutions -3.75 and 3.75 is:

|x| = 3.75

The general absolute value equation can be written as:

|x+ a| = b

And this can be rewritten into two equations, which are:

x + a = b

x + a = -b

In this case, we want to get an absolute value function such that the two solutions are -3.75 and 3.75, this is ratter trivial to do, we can write the next absolute value function:

|x| = 3.75

If we decompose this, we will get the two equations:

x = 3.75

x = -3.75

Which are the two solutions we wanted.

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Answer:

Step-by-step explanation:

p=  a/3  -  1/3

The expression that is equivalent to the number 2.68 is (b) two and seventeen twenty fifths

From the question, we have the following parameters that can be used in our computation:

Number = 2.68

Expand the number using the addition operator

So, we have the following representation

Number = 2 + 0.68

Express 0.68 as a fraction

This gives

Number = 2 + 68/100

Simplify the fraction

So, we have the following representation

Number = 2 + 17/25

This implies that

Number = two and seventeen twenty fifths

Hence, the equivalent of 2.68 is (b) two and seventeen twenty fifths

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Step-by-step explanation:

100% = 1028

1% = 100%/100 = 1028/100 = 10.28

the decrease was

1028 - 755 = 273

these 273 were how many % ?

as many % as how often 1% fits into 273 :

273 / 10.28 = 26.55642023... %

this was a 26.55642023...% decrease.

Answer:

1 - 1.5

2 - 3.9375

3 - 3

4 - 1.62962963

5 - 2.83333

6 - 4.05555556

7 - 8

8 - 1.555555556

9 - 6.4

10 - 6

11 - 1.5

12 - 18

Answer:

1:110

2:70

3:110

4:70

5:110

6:70

7:110

8;70



Step-by-step explanation:

lol i think its pretty simple

Answer:

the answer to the problem is A 27

Step-by-step explanation:

Answer:

x + y y added to 7. 7+ y. The sum of a and b a + b m more than n n + m ... y. 5 or y ÷ 5. The ratio of u to v u v or u ÷ v u separated into 4 equal parts.

Step-by-step explanation im just guessing so if its incorrect sorry:(

Answer:

Reflection

Step-by-step explanation:

A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to mirror the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and form as the original, but it faces the opposite way. The opposing signs are created from the coordinates. Changes in posture during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context.

Answer:

MN = 3

Step-by-step explanation:

MN = 3

Similar triangles :)

1,1.8,3

2,3.6,6

Triangle AMN is half the size of triangle ABC :)

hope this helps

:]

The word "Houston" can have a maximum of 2520 permutations using all it's letters.

As per the question statement, we are provided with a word: HOUSTON.

And we are required to calculate the total number of permutations that can be formed using all the letters of it.

To solve this question, first we will need to determine the number of letters in our concerned word, which in this case is 7, and then number of repeated letters, which is 2, since the letter "O" is repeated once.

Therefore, the total number of permutations that can be formed using all the letters of the word HOUSTON = [(7!)/(2!)]

                                                         = (7 * 6 * 5 * 4 * 3)

                                                         = 2520

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Answer:

a=5

Step-by-step explanation:

1/3(6a-15)=(a-2)+2

1/3(6a-15)=a

6a-15=3a

3a=15

a=5

:]

Step-by-step explanation:

1.multiply in first bracket

[tex]2a - 5 = a + 0[/tex]

2.Take unknowns to left and constants to the right

[tex]2a - a = 5[/tex]

3.solve for a

[tex]a = 5[/tex]

Answer:

ST = 63

TU = 63

SU = 126

Step-by-step explanation:

Given that T is the midpoint...

Thus TS = ST and SU = 2ST =2TU

from equation...

9n = 5n + 28

9n - 5n = 28

4n = 28

n = 7

Put the value of n in the equation...

ST = 9n

= 9 x 7

= 63

SU = 9n + 5n + 28

= (9 x 7) + (5 x 7) + 28 = 126

Hope this helps!

Answer:

2x-2 (x is your number)

Step-by-step explanation:

Not sure if this is what you mean lol

:]

Answer:

the answer is D. (-9, -3)

[tex]{ \green{ \tt{option \: (d)}}}[/tex]

Step-by-step explanation:

Given,

[tex]{ \tt{2y + x = - 15}} \: { \to} \: { \tt {eq}^{n} (1)}[/tex]

[tex]{ \tt{x = 3y}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]

Substitute the value of eqⁿ (2) in (1) then,

[tex]{ \tt{2y}} \: + \: { \red{ \tt{3y}}} \: = - 15 [/tex]

[tex]{ \tt{5y = - 15}}[/tex]

Divide both sides by 5 then,

[tex]{ \tt{ \frac{5}{5}y = - \frac{15}{5}}} [/tex]

[tex]{ \red{ \boxed{ \tt{y = - 3}}}}[/tex]

Substitute the value of y in eqⁿ (2)

[tex]{ \tt{x = 3y}}[/tex]

[tex]{ \tt{x = 3( - 3)}}[/tex]

[tex]{ \red{ \boxed{ \tt{x = - 9}}}}[/tex]

Therefore, the value of (x,y) is (-9,-3)

Hence, option (d) is correct.

40 gallons

[tex]\frac{525}{25} \times 40=840[/tex] miles

Gas Mileage

[tex]\frac{525}{25}=21[/tex] miles per gallon

Answer:

7 inches

Step-by-step explanation:

Volume 1 - 300 pages 2 inches

back cover 1/4 inch

Volume 2 - front cover 1/4 inch

300 pages 2 inches

back cover 1/4 inch

Volume 3 - front cover 1/4 inch

300 pages 2 inches

The greatest number of identical packages that Shaquira can make is 2.

Given data:

Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.

Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.

To find:

The greatest number of identical packages that Shaquira can make

In order to find the greatest number of packages, we find the HCF of 86 and 42.

Write down this part from the attached image.

Here, 86 = 1 × 2 × 43, 42 = 1 × 2 × 21

Thus HCF = 1 × 2 = 2

So, Shaquira can make 2 identical packages the most.

Each package will have

(86 ÷ 2) = 43 chocolate chips and

(42 ÷ 2) = 21 sugar cookies.

For questions like these you would need to find out the Least Common Multiple, or L.C.M

If Camryn plays the trumpet and the flute today, and they both are in intervals of 11 and 3 days, you would need to find the LCM for 11 and 3.

LCM:

11 = 11, 1

3 = 3, 1

As they both have no common factors, and are prime numbers, multiply 11 x 3 = 33.

So, the least amount of days required for the trumpet and the flute to be played together is 33 days. And the interval between practising them both on the same day is 33 days.

Hence, the number of days until Camryn practices the trumpet and the flute on the same day is 33 days.

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The solution of the inequality is k > 8.82

The expression is in words so we have to convert it to an inequality to be able to solve for k.

An inequality is an expression that has the following symbols: <, >, ≤ and ≥.

Therefore, the inequality can be solved as follows:

k / - 1.8 < - 4.9

Therefore, let's solve for the variable k.

k / - 1.8 < - 4.9

multiply both sides of the inequality by - 1.8

Hence,

k / - 1.8 (-1.8) < - 4.9 (-1.8)

k / 1 > 8.82

Note the sign had to change after we multiply both side of the inequality with a negative number.

Therefore,

k > 8.82

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Answer:infinite solution

Step-by-step explanation:

Answer:

AB = 12cm

Step-by-step explanation:

ABC is the right triangle, that means we can use theorem: AC²=AB²+BC²

AB²=AC²-BC²=13²-5²=169-25= 144

AB=√144

AB=12cm