9x(x + 81)

9x(x + 9)

9(x + 81)

9(x + 9)

**Answer:**

9 ( x + 9 )

**Step-by-step explanation:**

81 = 9 × 9

9x = 9 × x

9x + 81 = 9 ( x + 9 )

A student receives a subsidized student loan for $10,000 with a 10-year repayment term and interest compounded monthly. Six months after she graduates from college, she will have to begin making payments. Find her monthly payment and total interest paid if the interest rate is 5.5%.

If the **interest** **rate** is 5%, the monthly payment and total interest would be $2.439.

**Interest** is the sum of money that must be repaid on a loan or received in exchange for a loan. Principal refers to the borrowed or lent funds. The Amount is the total of the principal plus interest. The term "rate of interest" refers to the rate at which interest is applied to the principal.

Given,

A student receives a subsidized student **loan** for $10,000 with a 10-year repayment term and interest compounded monthly. Six months after she graduates from college, she will have to begin making payments.

A $10,000 subsidized student loan

Ten-year term of repayment

5.5% interest rate

First, we must determine the loan's **future** **value** (FV) over the next six months using the formula below:

FV in 6 months

= Loan Amount× (1 + Interest Rate)⁶ ($10,000×(1 + 0.055) ×6

= $2.7680.

Second, the formula for determining future value is used to determine the **monthly** **payment**:

M = FV in 6 months / (((((r)n) - 1) / r).......... (1)

When you enter all the pertinent values into equation (1), you get:

M = $2.7680 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)

M = $2.439

Therefore, if the **interest** rate is 5.5%, the total amount paid in interest plus monthly payments would be $2.439.

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r²-6 r+9 can be factorized to give an expression of the form (r+a)²,

where a is an integer.

Work out the value of a.

The **value **of a in the **expression **is -3

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

r²-6 r+9 can be **factorized **to give an **expression** of the form (r+a)²

This means that

r² - 6r + 9 = (r+a)²

**Factorize **the expression r² - 6r + 9

So, we have

(r - 3)² = (r + a)²

By comparison, we have

a = -3

Hence, the solution of a is -3

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Work out the surface area of this solid

prism.

10cm

8cm

27cm

6cm

17cm

30cm

The diagram is not drawn to scale.

**Answer:**

2064 cm²

**Step-by-step explanation:**

You want the **surface area of a prism** that is **30 cm between bases** that are **trapezoids** with parallel sides **27 cm and 6 cm** that are **8 cm** apart, and** slant sides** that are **10 cm and 17 cm**.

The area of each trapezoidal base is ...

A = 1/2(b1 +b2)h

There are two **identical bases**, so their **total area** is ...

2A = (b1 +b2)h = (27 cm +6 cm)(8 cm) = **264 cm²**

The lateral area of the prism is the area of the four rectangular faces. Each is 30 cm wide, and their total length is the perimeter of the base;

P = 27 cm +10 cm +6 cm +17 cm = 60 cm

**lateral area =** Ph = (60 cm)(30 cm) **= 1800 cm²**

Total surface area

The total surface area of the prism is the sum of the base area and the lateral area:

total area = base area + lateral area

total area = 264 cm² +1800 cm² = **2064 cm²**

**The surface area of the solid prism is 2064 cm²**.

One factor of the function f(x) = x3 − 6x2 + 11x − 6 is (x − 3). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer

One factor of the **function **f(x) = x3 − 6x2 + 11x − 6 is (x − 3). the x-intercepts and the y-intercept of the graph of f(x) are

Generally, To find the** x-intercepts**, we set y equal to 0 and solve for x. In this case, the equation we need to solve is:

f(x) = x^3 - 6x^2 + 11x - 6 = 0

To solve this equation, we can use the fact that (x - 3) is a factor of the function. This means that we can write the function as:

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

If (x - 3) is a factor, then x - 3 must equal 0. This gives us one x-intercept at x = 3.

To find the other x-intercepts, we can set the quadratic factor (x^2 - 3x + 2) equal to 0 and solve for x. This gives us the following equation:

x^2 - 3x + 2 = 0

We can use the quadratic formula to solve this equation:

x = (3 +/- √(9 - 8)) / 2 = (3 +/- √(1)) / 2 = (3 +/- 1) / 2

This gives us two more** x-intercep**ts at x = 2 and x = 4.

So the** x-intercepts** of the graph of f(x) are x = 2, x = 3, and x = 4.

To find th**e y-intercept,** we set x equal to 0 and solve for y. In this case, the equation we need to solve is:

f(0) = 0^3 - 6(0)^2 + 11(0) - 6 = -6

This gives us a y-intercept at (0, -6).

So th**e y-intercept** of the graph of f(x) is (0, -6).

All of the intercepts of the graph of f(x) are, therefore (0, -6), (2, 0), (3, 0), and (4, 0).

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Find the average rate of change of g (x)=-2x³ +5x² from x=2 to x = 3.

Simplify your answer as much as possible.

The** average** rate of change of g (x)=-2x³ +5x² from x=2 to x = 3 is

a(x)= -13

What is meant by average rate of change?It represents the average change in the** function's** per-unit value during that time period. On the function's graph, it is generated from the** slope **of the line connecting the interval's ends. Following is the formula for the average rate of change:

a(x) = [f(b) - f(a)]/(b - a)

where,

a(x) = Average Rate of Change

f(a) = Function Value at a

f(b) = Function Value at b

Given,

g (x)=-2x³ +5x² from x=2 to x = 3

Average rate of change is a(x)

g (x)=-2x³ +5x²

Put x=2 in the above equation

g(2)= -2(2)³+5(2)²

= -16+20

=4

g(2)=4

Now, put x=3 in the above equation

g(3)= -2(3)³+5(3)²

= -57+45

= -9

We know that,

Average rate of change a(x)= (g(b)-g(a))/(b-a)

a(x)= g(3)-g(2)/(3-2)

a(x)= (-9-4)/1

a(x)= -13

Therefore, the average rate of change a(x)= -13

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Nine less than two times a number is five more than this number.

The **statement **as an **expression **is 2x - 9 = 5 + x

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

Nine less than two times a number is five more than this number.

Express the **numbers **properly

So, we have the following representation

9 less than 2 times a number is 5 more than this number.

Introduce the **equality **symbols

So, we have the following representation

9 less than 2 times a number = 5 greater than this number.

Next, we apply the **mathematical **operators

So, we have the following representation

2 times a number - 9 = 5 + number.

Express the **number **as x

So, we have

2x - 9 = 5 + x

Hence, the **expression **is 2x - 9 = 5 + x

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Dajon already knows that he will have $500,000 when he retires. If he sets up a payout annuity for 15 years

in an account paying 2.05% interest, how much could the annuity provide each week? Round your answer to

the nearest dollar.

The **annuity** provide each **week** is $547.59 (approx.)

**Define Annuity**

A **fixed** sum of money paid to someone **each** year, typically for the rest of their life.

Given,

Dajon already **knows** that he will **have** $500,000 when he retires.

P = $500,000

Next, he sets up a **payout** **annuity** for 15 **years** in an account paying 2.05% **interest**.

r = 2.05 % or 0.0205

t = 15 **years**

Since, **annuity** provide **each** week then

n = 52 **weeks** (in a year)

The **Annuity** formula is,

**P = d [ ( 1 + r/n)^nt - 1 ] / (r/n)**

where, d = regular **deposit**

Now, plug in the **values** and find the **value** of d

P = d [ ( 1 + 0.0205/52)^52*15 - 1 ] / (0.0205/52)

**Calculate** the value it gives,

**P = $547.5936993 or 547.59 **

Hence, the **annuity** provide **each** week is $547.59 (approx.)

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Can someone evaluate these for me

1×(– 6 × –18 –8) ÷4

4– – 20+ – 5 ×( –11 – –18)

13– – 10 × 16 ÷ (14 + –16)

1– – 9 × 12 ×(–19 +20)

The answer of the given expression using **BODMAD rule** is **25**.

**What is BODMAS rule?**

The **BODMAS rule** states that the brackets must be solved first, then powers or roots (i.e., of), **Division**, **Multiplication**, **Addition**, and finally **Subtraction**. Only when the **BODMAS rule** or the **PEDMAS rule** is used to solve an expression is the **solution** deemed to be correct.

**(a)** 1 x (-6 x -18 - 8) ÷ 4

By using first to simplify the bracket.

1 x ((-6 x -18) - 8) ÷ 4

1 x (108 - 8) ÷ 4

(1 x 100) ÷ 4

100 ÷ 4

25

Hence, the answer of the given expression using **BODMAD rule** is **25**.

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Twenty percent of U.S. adults have some type of mental illness. You randomly select 6 U.S. adults. Find the probability that the number of adults having some type of mental illness is:

a)exactly two

b)at least one

c)less than three

d)find the mean, variance, and standard deviation for this distribution

The mean is 1.2 ,variance is 0.96 and standard deviation of the given data is 96 square root.we can find all these** data** by using formula of probability.

Probability means possibility.It is a branch that deals with occurrence of **random** event.The value is given in the probability from 0 to 1.Probability is how likely something is to happen.It is used in real life for analysis data.we can find probability to favorable outcomes divided by total outcomes.

Standard deviation measures how far apart numbers are in a data set.Variance gives us the actual value to how much the numbers in a data set vary from the mean.The variance is equal to the square standard deviation and standard deviation is the square root of the variance.

NOW we have data

Person(ill)=20% =0.20 n=6

For Exactly two p(x) =2

now we get 24.58% by using binomial theorem and putting value in the formula.

NOW for at least one p(x)>1 By putting value we get 0.7379.

Now for less than three p(x<30) we get 0.9011

Now to find mean

Mean=person (ill) multiply n

Mean = 0.20 * 6

Mean= 1.2

Variance= 1.2*0.80

=0.96

IN the last we find standard deviation.it will be 96 square root.

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Solve for m in the equation below. It may be helpful to convert the equation into exponential form. Write answer as an integer or reduced fraction. -2. log,(m) - 24 = - 20 m = > Next Question Find the largest value of 2 that satisfies: log, () – log (2 + 1) = 9 =

The largest **possible** value of 2 that **satisfies** the **equation** is **approximately** **1.1**.

**What is Exponential Form Equation?**

Since **y=bx, **y = b x is a one-to-one **inverse** of the **exponential** function, x=by x = b y, it too is a **function**. We simply **swap** x and y and solve for y to **discover** the **inverse function**, as is the case with all **inverse** **functions**.

To solve for m in the **equation** -2 * log(m) - 24 = -20, we can start by **converting** the **equation** into **exponential** **form**. To do this, we can raise both **sides** of the **equation** to the **power** of **e**:

[tex]e^(-2 * log(m) - 24) = e^(-20)[/tex]

Then we can simplify:

[tex]m^(-2) = e^(-20)[/tex]

Then we can solve for m:

[tex]m = sqrt[e^20]\\\\= sqrt[20*e^9]\\\\= sqrt[20] * sqrt[e^9]\\\\= 2 * 3^(1/2)= 2 * 1.732\\\\= 3.464[/tex]

So **m** is **approximately** equal to 3.464

To find the **largest** value of 2 that **satisfies** the **equation** [tex]log(2^2) - log(2 + 1) = 9[/tex], we can start by **expanding** the **left-hand side** of the equation:

[tex]log(2^2) - log(2 + 1) \\\\=log(2^2 / (2 + 1))\\\\ = log(4/3) = 9[/tex]

Then we can rewrite the **equation** as:

log(4/3) = 9

Then we can solve for 2:

[tex]2 = (4/3)^(1/9)\\\\= (4^(1/9)) / 3^(1/9)\\\\= 1.5874010519681994 / 1.4422495703074083\\\\= 1.1[/tex]

So, The largest **possible** value of 2 that **satisfies** the **equation** is **approximately** **1.1**.

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358.584 divided by 8.92 using mental math and the division algorithm

**Answer:**

Below

**Step-by-step explanation:**

358.584 is about 360 8.92 is about 9

360 / 9 = 40 approx by' doing it in your head '

ACTUAL answer = 358.584/8.92 = 40.2 Pretty darn close !

Let S represent the number of randomly selected adults in a community surveyed to find someone with a certain genetic trait.The random variable S follows a geometric distribution with mean 4.66. Which of the following is a correct interpretation of the mean?answer choicesA value randomly selected from the distribution of S is expected to be 4.66.In repeated sampling from the distribution of S, the average of the values will approach 4.66.For a sample of values randomly selected from the distribution of S, the average of the sample will be 4.66.The probability is 0.66 that a value randomly selected from the distribution of S will be close to the mean.For a sample of values randomly selected from the distribution of S, the average of the sample will vary from the population mean by no more than 4.66.

**Step-by-step explanation:**

correct interpretation of the mean?answer choicesA value randomly selected from the distribution of S is expected to be 4.66.In repeated sampling from the distribution of S, the average of the values will approach 4.66.For

Aaliyah invests $7,000.00 at 4% simple interest for 1103 days.

How much interest is earned over the 1103 day period?

The interest earned over the 1103 day period is _______

How much is in the account at the end of the 1103 day period?

Aaliyah will have __________

in the account at the end of the 1103 day period.

The **interest earned** over the 1103 day period is $840

**Aaliyah** will have $7840 in the account at the end of the 1103 day **period**.

**Simple interest** is defined as the amount of money that is paid to an individual following an investment that is made to an account.

The amount of money **invested** = $7,000.00

The **rate** of interest= 4%

The **time** of investment = 1103 = 3 years

Simple interest = P×T×R/100

= 7000×4×3/100

= 84000/100

= $840

The amount of money that is in the account at the end of the 1103 day period = 7000 + 840 = $7,840

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Using the income statement below, calculate the following profitability ratios for Western Bookkeeping and Tax Service. Assume that stockholder's equity equals $441,600 and total assets equal $640,000.

Profit margin ratio

Return on equity ratio

Asset turnover ratio

Write the profit margin and return on equity ratios as a percent, rounded to the nearest percent. Write the asset turnover ratio as a decimal, rounded to two decimal places.

The computation of the **profitability ratios** for Western Bookkeeping and Tax Service is as follows:

**Profitability ratios** are the **financial ratios** that evaluate an entity's ability to convert its earnings (revenue) into **profit** versus different criteria.

Some of the common **profitability ratios** include:

Stockholders' equity = $442,600

Total assets = $640,000

Net sales = $480,000

Net income = $36,000

**Profit margin ratio** = Net income/Net Sales x 100

= $36,000/$480,000 x 100

= 7.5%

= 8%

**Return on equity ratio** = Net income/Shareholders' Equity x 100

= $36,000/$442,600 x 100

= 8.13%

= 8%

**Asset turnover ratio** = Net Sales/Total Assets

= $480,000/$640,000

= 0.75

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PLEASE HELP IM TIMED I WILL GIVE BRAINLIST!!!!!!!!

The **distance** between the **line segments** PQ, RS and TV are √53 respectively

The **distance** between any two points is the length of the **line segment **joining the points. There is only one line passing through two points. So, the distance between two points can be calculated by finding the length of this line segment connecting the two points.

The formula is given as;

d = √(x₂ - x₁)² + (y₂ - y₁)²

In the first line segment;

P = (0,4), Q = (7, 2)

d = √((7-0)² + (2 - 4)²)

d = √53

b)

R = (-7, 6), S = (-5, -1)

d = √((-1 - 6)² + (-5 --7)²)

d = √53

c)

T = (0, -8), V = (2, -1)

d = √((-1 --8)² + (2 - 0)²)

d = √53

The **distance between the lines **are all √53 units

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work out the area of a rectangle with base, b = 9.6mm and hight, h = 2mm

**Answer: 19.2mm^2**

**Step-by-step explanation: the area of a rectangle is simply base x height**

**so do 9.6 x 2 to get 19.2mm^2**

Yes, by ASA and AAS

yes SAS

Yes by HL

yes by SSS

the two triangles are not congruent

**Answer:**

yes, by ASA

**Step-by-step explanation:**

sum of interior angles of a triangle = 180°

180 - (45+63) = 180 - 108 = 72°

the two triangles have two congruent angles and the side between them.

They are congruent for (ASA) angle side angle

Graph by finding the x and y intercepts using a table

-3x-6y=0

**Answer: see below**

**Step-by-step explanation:**

**x=0 -3(0)-6y=0 -6y=0 y=0**

**x=1 -3(1)-6y=0 -4-6y=0 -6y=4 y=4/6 or 2/3**

**x=2 -3(2)-6y=0 -6-6y=0 -6y=6 y=-1 **

**x=3 -3(3)-6y=0 -9-6y=0 -6y=9 y= -9/6 or -3/2**

**x=-1 -3(-1)-6y=0 3-6y=0 -6y=-3 y=1/2 **

**x y**

**-1 1/2**

0 0

1 -2/3

2 -1

3 -1 1/2

The maximum weight, w, that an elevator can hold is 2200 pounds. Which inequality represents the situation?

**Answer: **w ≤ 2200 would represent the situation

The art museum is 8 1/2 miles from Alison's house. Alison has ridden her bike 2/3 of the way there so far. How far has she gone?

Alison has **traveled **six **miles **on her bike.

Distance is defined as the **product **of speed and time.

To find how far Alison has ridden her bike, we need to first convert 8 1/2 miles to miles as a **mixed number**.

We can do this by multiplying the **fractional **part of the mixed number by the **denominator **of the fraction:

8 1/2 miles = 8 miles + (1/2 x 2) miles = 8 miles + 1 mile = 9 miles

We can now **multiply **this **distance **by 2/3 to find how far Alison has **ridden **her bike:

9 miles x 2/3 = 6 miles

Therefore, she has **ridden **her bike 6 **miles**.

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I NEED HELP ASAPPPPPP

**Answer:**

2.5

**Step-by-step explanation:**

m is the gradient

to find this we do the change in y/change in x

using the first 2 values we have been given:

change in y= 15-10

change in x= 4-2

5/2= 2.5

the gradient in 2.5

A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 820-meter head start. When the start gun is fired the hare begins running at a constant speed of 7.5 meters per second and the tortoise begins crawling at a constant speed of 4.5 meters per second.

a. Write an expression in terms of t that represents the hare's distance from the starting line (in meters)

b. Write an expression in terms of t that represents the tortoise's distance from the starting line (in meters).

c. Write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.

a. The **hare's **distance from the **starting **line is represented by the expression **7.5t.**

b. The tortoise's **distance **from the starting line is represented by the expression **4.5t+820.**

c. The number of meters the **tortoise **is ahead of the hare is represented by the expression **4.5t+820-7.5t.**

In the race, the **hare **is running at a constant speed of **7.5 meters** per second, so their distance from the starting line is equal to their speed multiplied by the time it takes them to run that distance. This is represented by the expression 7.5t, where t is the time in seconds it takes the hare to run.

Similarly, the **tortoise **is crawling at a constant speed of **4.5 meters** per second, so their distance from the starting line is equal to their speed multiplied by the **time **it takes them to crawl that distance, plus the 820-meter head start they were given. This is represented by the expression **4.5t+820**, where t is the time in seconds it takes the tortoise to **crawl**.

To find the number of meters the tortoise is ahead of the **hare**, we subtract the hare's distance from the starting line from the tortoise's distance from the starting line, which gives us the expression** 4.5t+820-7.5t.**

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A cake recipe asks for 1/4 cup of oil for each cake. How many cakes can be made from a bottle of oil that has 4 cups in it?

**Answer: 16**

**Step-by-step explanation:**

there are 4 1/4 in 1 cup. so it'll be 4 cakes for each cup of oil you have. multiply the number of cakes that can be made per cup (4) by the number of cups you have (4)

(4) x (4) = 16

For g(x) = 12x - 2, evaluate g (1).

A. -1

B. 1

C. 2

D. -2

**Answer:**

B

**Step-by-step explanation:**

g(x) = 12x - 2

g(1/4) = 12(1/4) - 2 ==> plug in 1/4 for x

g(1/4) = 12 * 1/4 - 2

g(1/4) = 12/4 - 2

g(1/4) = 3 - 2

**g(1/4) = 1 ==> B**

**Answer:**

**Step-by-step explanation:**

To evaluate g(1) for the function g(x) = 12x - 2, you can substitute the value 1 for x in the function:

g(1) = 12(1) - 2

g(1) = 12 - 2

g(1) = 10

Therefore, g(1) = 10. **B**

Algebraically prove that x^3 + 9 / x^3+8 = 1 + 1/x^3 +8 , where x ≠ -2

Refer to the photo taken.

You need a $12,000 loan to buy a good used car. Your bank offers a 3-year loan with an APR of 5% and a 5-year loan with an APR of 8%. Find the monthly payment and total interest paid for each loan option. Which would you choose? What is the better deal?

In case of **APR** 5% total payment made is $12,947.42 and in case of APR 8% total payment made is $14,598.94. Therefore the better deal to choose to pay the less payment is 1st case.

APR is the **annual interest** produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR). This does not account for **compounding** and includes any fees or additional expenditures related to the transaction. Consumers can evaluate lenders, credit cards, or investment goods using the APR as a benchmark figure.

Initial payment is $12,000 with 5% APR and 3 year loan

Monthly payment = P[ i(1+i)ⁿ] / [(1+i)ⁿ-1]

= 12,000[0.05(1+0.05)³]/[1+0.05)³-1]

=$359.65

Over 36 payments total payment is $12,947.42

And in case of 8% APR with a 5 year loan

Monthly payment = 12,000[0.08(1+0/08)⁵] / [(1+0.08)⁵-1]

=$243.31

Over 60 payments **total payment** is $14,598.94

So, the best deal is 5% APR with a 3 year loan.

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Can someone help me with this question????

**Answer:**

[tex]P = \boxed{\sf 4000}[/tex]

[tex]r=\boxed{\sf 0.03}[/tex]

[tex]n=\boxed{\sf 4}[/tex]

[tex]t=\boxed{\sf 5}[/tex]

**Step-by-step explanation:**

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

If you invest $4,000 then the **principal amount** is $4,000. As P represents the principal amount:

[tex]\implies P = \boxed{\sf 4000}[/tex]

The **interest is 3%**. 3% = 3/100 = 0.03. Therefore:

[tex]\implies r=\boxed{\sf 0.03}[/tex]

"n" represents the **number of times** interest is applied **per year**.

Therefore, if the **interest **is applied **quarterly **then:

[tex]\implies n=\boxed{\sf 4}[/tex]

"t" represents the **time **in years. Therefore, if you plan to leave the money in the account for** 5 years** then:

[tex]\implies t=\boxed{\sf 5}[/tex]

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To calculate the **amount **in the account after 5 years, **substitute **the **values **into the **formula **and **solve for A**:

[tex]\implies A=4000\left(1+\dfrac{0.03}{4}\right)^{4 \times 5}[/tex]

[tex]\implies A=4000\left(1+0.0075\right)^{20}[/tex]

[tex]\implies A=4000\left(1.0075\right)^{20}[/tex]

[tex]\implies A=4000(1.16118414...)[/tex]

[tex]\implies A=\$4644.74[/tex]

Eileen is making lemonade with water and lemon concentrate. What percent of each mixture is

lemon concentrate?

a. The ratio of water to lemon concentrate is 3 to 1.

b. Eileen mixes 4 parts water for each part of lemon concentrate.

c. 4 out of every 5 cups of the mixture is water.

a) The **percentage** of lemon is 25%

b) The percentage of **lemon** is 20%

c) The **percentage** of lemon is 20%

The **percentage** is calculated by **dividing **the required value by the total value and **multiplying** by 100.

Example:

Required **percentage** value = a

total value = b

**Percentage** = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

a)

Water : Lemon = 3 : 1

**Percent** of lemon concentrate:

= 1/4 x 100

= 25%

b)

1 part of lemon = 4 part of water

**Percent** of lemon.

= 1/5 x 100

= 20%

c)

Cups of lemon = 1

Cups of water = 4

**Percent** of lemon.

= 1/5 x 100

= 20%

Thus,

The **percent** of each answer is given above.

Learn more about **percentages** here:

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Can someone do these 4 questions For 40 points

The **gradient **of the blue line as shown in the graph is **0.25**

The **gradient **of any line or curve tells us the rate of change of one variable with respect to another.

To calculate the **gradient **of the blue line, we use the formula below.

Formula:

S = Δy/Δx = (y₂-y₁)/(x₂-x₁)................. Equation 1Where:

S =From the graph,

Given:

x₁ = 0y₁ = 1x₂ = 8y₂ = 3Substitute these values into equation 1

S = (3-1)/(8-0)S = 2/8S = 1/4S = 0.25Hence, the **gradient **of the blue line is **0.25.**

Learn more about **gradient **here: https://brainly.com/question/21727173

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1/4+1/6 in fractions

Please help me I’m giving you 25 pints things

Write common denominator

3+2/12

Answer: 5/12

3+2/12

Answer: 5/12

5/12

Step by step:

1)Find the LCM of 6 and 4 =12

2)set both fractions to over 12 and do whatever you done to the bottom to the top

3)1x3=3 1x2=2

4)3+2 =5

Answer: 5/12

Step by step:

1)Find the LCM of 6 and 4 =12

2)set both fractions to over 12 and do whatever you done to the bottom to the top

3)1x3=3 1x2=2

4)3+2 =5

Answer: 5/12

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