It takes 1 cup of liquid fertilizer to make 7 gallons of spray. How much liquid fertilizer is needed to make 80 gallons of spray?

Please have a step by step explanation:
Thank you! ​

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

Answer:

$45

Step-by-step explanation:

10% of 50 = 5

50 - 5

Answer:

$45

Step-by-step explanation:

50 x 0.10 = 5

50-5=45

The ratio of the weight of the quarters to the number of quarters will be 11: 2

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

We have been given that Gabriela is weighing quarters on a scale. They weigh various numbers of quarters, n, and record their total weight, w, in grams.

Number of quarters, n; 4,10,24

Tirol weight, w;  22,55,132

The ratio of the weight of the quarters to the number of quarters will be;

w: n

22 : 4 = 11 : 2

Also, 55: 10

11: 2

Again,

132: 4

11: 2

Hence, The ratio of the weight of the quarters to the number of quarters will be 11: 2

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The length of side x is  √3 units.

We know that the larger triangle is an equilateral triangle, and it is divided into two equal right triangles.

Now, let's analyze these, we can see that the catheti are:

x and 3.

And the hypotenuse must have a length of 2x (if the triangle is equilateral).

Now we can use Pythagorean's theorem.

Then we will get:

(2x)^2 = x^2 + 3^2

4x^2 = x^2 + 9

4x^2 - x^2 = 9

3x^2 = 9

x^2 = 9/3 = 3

x = ± √3

We only care for the positive value, then:

x = √3

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In this exercise we have to use the knowledge of function to write the minimum production cost, so we have to:

\(K=13.975\)

Thus writing the function that corresponds to this will be:

\(MPK = Q'(K) = 50L^{0.5}/K^{0.5} = 25\\MPL = Q'(L) = 50K^{0.5}/L^{0.5} = 100\)

Now calculating the minimum production cost we have:

\(MPK/r = MPL/w\\MPK/40 = 100/50\\MPK =80\\MPK = 50L^{0.5}/K^{0.5} = 80\\K=(1.118/80)= 13.975\)

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Answer:

60

Step-by-step explanation:

Answer:

15/8 or 1 7/8

Step-by-step explanation:

Multiply the numerator by the number of workbooks (5)

You get 15/8.

Simplify

The length of 5 workbooks is 7 1/8 inch.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Thickness of workbook = 3/8 inch

Total workbooks = 5

So, the thickness of 5 workbooks

=5* 3/8

=15/8

=7 1/8 inch

Hence, the thickness of 5 workbooks is 7 1/8 inch.

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Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

\(\frac{5}{\frac{2}{3}}=7.5\)

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

the answer should be 18.5

Answer:

3x^2 - 4

Step-by-step explanation:

6x^4 - 8x^2 ÷ 2x^2

= 3x^2 - 4

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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The three true statements are:

1. The radius of the circle is 3 units.

2. The center of the circle lies on the x-axis.

3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

To determine the properties of the circle with the equation \(x^2 + y^2 - 2x - 8 = 0,\) let's analyze the given options:

The radius of the circle is 3 units:

To find the radius, we need to rewrite the equation in standard form, which is \((x - h)^2 + (y - k)^2 = r^2.\)

Comparing the given equation to the standard form, we can determine the center and radius.

In this case, the equation can be rewritten as \((x - 1)^2 + y^2 = 9,\) which means the radius is 3 units.

Therefore, this statement is true.

The center of the circle lies on the x-axis:

From the standard form of the equation, we can see that the x-coordinate of the center is 1.

Since the y-coordinate is 0 in the equation, the center lies on the x-axis. Thus, this statement is true.

The center of the circle lies on the y-axis:

Since the y-coordinate of the center is not 0 but rather represented by \(y^2,\)  the center does not lie on the y-axis.

Therefore, this statement is false.

The standard form of the equation is\((x - 1)^2 + y^2 = 3:\)

The given equation can indeed be rewritten as \((x - 1)^2 + y^2 = 9,\) as mentioned earlier, representing a circle with a radius of 3.

However, the statement incorrectly specifies a radius of 3 instead of 9. Thus, this statement is false.

The radius of this circle is the same as the radius of the circle whose equation is\(x^2 + y^2 = 9:\)

The circle described by the equation \(x^2 + y^2 = 9\)  has a radius of 3 units. Comparing this to the circle in question, which also has a radius of 3 units, we can conclude that the statement is true.

Therefore, the three true statements are:

The radius of the circle is 3 units.

The center of the circle lies on the x-axis.

The radius of this circle is the same as the radius of the circle whose equation is \(x^2 + y^2 = 9.\)

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

Answer:

10^-3

Step-by-step explanation:

50 = 50,000  / 1000

     = 50,000  / 10^3

     =  50,000 * 10^-3.

A

Step-by-step explanation:

just trust me that is the correct answer

The algebraic representation of the expression is (m + n)

sum of m and the number after it

= m + n

Therefore, the algebraic representation of the expression is (m + n)

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

5  7/10

Step-by-step explanation:

To subtract fractions, we need to get a common denominator

17 1/2 - 11 4/5

The common denominator is 10

17 1/2 * 5/5 = 17 5/10

11 4/5 *2/2 = 11 8/10

 17 5/10

- 11 8/10

--------------

We have to borrow 1  or 10/10 from the 17

16 5/10 + 10/10

- 11 8/10

--------------

16 15/10

- 11 8/10

--------------

5  7/10

The salary that the tanker driver received if he worked the entire month without fail would be R 19, 980.

The amount that the driver was paid in June as a salary, given the number of weeks in June and the salary per week can be found by the formula :

= Payment for working weekdays + Payment for working on Saturday

= ( Rate per hour x 9 hours per day x 5 days x 4 weeks ) + ( Rate per hour x 4. 5 hours x 4 weeks )

The June salary is :

= ( 92. 50 x 9 x 5 x 4 ) + ( ( 92. 50 x 2 ) x 4. 5 x 4 )

= 16, 650 + 3, 330

= R 19, 980

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Missing data is :

The driver of the water tanker works for 5½ days per week and 9 hours per day on week days except on Saturdays where they work for a ½ day (4,5 hours).

The rate per hour was R92,50 and the rate of pay was doubled on Saturdays.

Answer: SHEEEESH

Big numberssssss

Step-by-step explanation:

SHEEEESH

The account will be worth $7536 about 5.76 years after the year 2000, which is approximately mid-2005.

Exponential growth is a type of growth pattern where a quantity increases at a constant percentage rate over time.

The formula used in this problem is \(A = Pe^{rt}\), where A is the final amount, P is the initial amount, r is the rate of growth, and t is the time elapsed.

Here we have

The value of your investment t years after 2000 is given by the exponential growth model\(A = 5500e^{0.063t}\)

Where t is the number of years

We can start by setting up an equation where A (the value of the investment) equals $7536:

=> \(7536 = 5500e^{ (0.063t)}\)

To solve for t, we need to isolate t on one side of the equation. We can start by dividing both sides by 5500:

=> \(\frac{7536}{ 5500} =e^{ (0.063t)}\)

Next, we can take the natural logarithm (ln) of both sides of the equation to eliminate the exponent:

\(ln(7536/5500) = ln(e^{(0.063t)})\)

Using the rule that ln(e^x) = x, we can simplify the right-hand side:

ln(7536/5500) = 0.063t

Finally, we can solve for t by dividing both sides by 0.063:

t = ln(7536/5500) / 0.063

Using a calculator, we get:

t ≈ 5.76

Therefore,

The account will be worth $7536 about 5.76 years after the year 2000, which is approximately mid-2005.

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answer:

answer:

answer:

The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

let

Total amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)

y = 20(5) + 2(5)

y = 100 + 10

y = $110

Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)

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Answer:

The correct answer is Option D

Step-by-step explanation:

The equation is incorrectly written in the question but correctly written in the screenshot image

Correct equation is \(y \le \dfrac{2}{3} x- 4\)

The correct graph is the one in Option D

Step-by-step explanation:

1099cm might be lol I am poor in math

Answer:25x3 and 25+25+25

Step-by-step explanation:

The expression shows the amount of money that Trey deposits in 3 months 25(3).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Trey has $75 in his saving account.

He deposit $25 each month.

let the number of months spend be 'm'.

So, the expression that shows the amount of money that Trey deposits in 3 months would be

= 75 + 25m

If m=3

= 75 + 25(3)

= 75 + 75

= 150

Hence, the expression is 25(3).

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Answer:

The speed of Todd's snowmobile was 22 miles an hour

Step-by-step explanation:

:))

The speed of Todd's automobile is 31 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.

For the first journey,

v₁ + v₂ = 330 / 11    ......................( 1 )

For the return journey,

v₂ - v₁ = 330 / 15 .........................( 2 )

From equation ( 1 ) and equation ( 2 ),

2v₂ = ( 330 / 11 ) + ( 330 / 15 )

2v₂ = ( 330 ) ( 31 / 165 )

v₂ = 165 ( 31 / 165 )

v₂ = 31 miles per hour

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Answer:

here you go

Step-by-step explanation:

the last one is "Each point (or pair) in a proportional relationship must share the same difference."

Answer:

Step-by-step explanation:

Given :  Statement about proportional relationships  

To Find : Which statement is False

Solution:

proportional relationships

y ∝ x

=> y = kx    

Comparing with line line of equation

y = mx + c

m = k  , c = 0

Hence A proportional relationship must graph as a line

TRUE

at x = 0 , y = 0

Hence graph of a proportional relationship must pass through (0, 0).

TRUE

y = kx  

=> y/x = k  hence

Each point (or pair) in a proportional relationship must share the same ratio.

Each point (or pair) in a proportional relationship must share the same difference.

For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.

What is Compound interest?

Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.

Now,

The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.

The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is

P(x) = pˣ (1-p)ⁿ⁻ˣ

where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.

The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is

FV = PV x (1 + r/n)ⁿˣ

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.

While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.

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The binomial probability mass function formula and the compound interest formula are not directly related to each other.

The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:

A = P * (1 + r/n)^(nt)

where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.

While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.