The ratio x:y is equal to is 2 : 5, and y is 80% of z. Write an equation to represent the proportional relationship between x and z.

Using equations to solve the word problem, Katherine's age is 8 years

Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.

To solve this problem, we have to represent the problem using mathematical equations;

Let;

Katherine's age = x²

Alexandra = 5(x + 1)

Sum of their age = 109

5(x + 1) + x² = 109

5x + 5 + x² = 109

x² + 5x - 104 = 0

Solving for the equation; x = 8

Katherine's age is 8

Learn more on word problem here;

https://brainly.com/question/13818690

#SPJ1

Answer:

and data pro is the best solution assumption that you are a very important thing to me and I am not sure what to do with my

Answer:

this is the answer

Step-by-step explanation:

c² = a² + b²

c = √a²+b²

The values of x after solving the quadratic equation x²+14x-1 , using completing the square method is -√50-7 or +√50-7.

A Quadratic equations is second-degree algebraic expressions and is of the form ax² + bx + c = 0.

Uisng the method of completing the square to solve the equation below, we following the steps.

Equation ⇒ x²+14x-1 = 0

Step 1:

Take the constant to the other side of the equation

Step 2:

Find half the coefficient of x, square, and  add it to both side of the equation.

There,

Step 3:

Express the trinomial on the left side as a square of binomial

Step 4:

Take the square root of both side.

Step 5:

Make x the subject of the equation by moving 7 to the other side of the equation

Step 6:

Seperate the expression for each value of x

Hence, the value of x is  -√50-7 or +√50-7.

Learn more about quadratic equation here: https://brainly.com/question/25841119

#SPJ1

The percentage of the increase in population is 4%

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

Initial population = 209000

New population = 2017360

The percentage of the increase is then calculated using the following percentage equation

Percentage increase = (New population  - Initial population )/Initial population  * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage increase = (217360 - 209000)/209000 * 100%

Evaluate

Percentage increase = 4%

Hence, the increase percentage is 4%

Read more about percentage increase at

https://brainly.com/question/11360390

#SPJ1

Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be [tex]9^{1/3}[/tex]  and [tex]27^{4/5}[/tex], then

[tex]9^{1/3}[/tex] × [tex]27^{n}[/tex] = [tex]27^{4/5}[/tex]

=> [tex](3^{2})^{1/3}[/tex] × [tex](3^3)^{n}[/tex] = [tex](3^3)^{4/5}[/tex]

=> [tex]3^{2/3}[/tex] × [tex]3^{3n}[/tex] = [tex]3^{12/5}[/tex]

=> [tex]3^{3n+\frac{2}{3}}[/tex] = [tex]3^{12/5}[/tex]

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

$336.87 is the interest they being charged during the first month on their mobile home loan of $74,860.00

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Debt ratio increased, causing their credit score to drop from excellent rate of 5.75% to good rating of 6.20%.

We need to find interest they being charged during the first month on their mobile home loan of $74,860.00.

The difference is percentage is 6.0-5.75

0.45%

0.45% of $74,860.00

0.45/100×74,860.00

336.87

Hence, $336.87 is the interest they being charged during the first month on their mobile home loan of $74,860.00

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

The new inequality which represent Ezra's situation is 15x + 10y > 1180

If

The inequality:

15x + 10y ≥ 1100

If Ezra decides to also spend more than $80 on a printer, that is, the amount spent on a printer is greater than $80

Adding an amount greater than $80 to the inequality,

It becomes 15x + 10y > 1180

Note the change in sign from greater than or equal to (≥) to greater than (>)

Therefore, the new inequality is given by 15x + 10y > 1180

Read more on inequality:

https://brainly.com/question/10852800

#SPJ1

Answer:

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2} \\4^{2} +b^{2} = (\sqrt{52} )^{2} \\16 + b^{2} = 52\\b^{2} =36\\\sqrt{b^2} =\sqrt{36} \\b=6\\[/tex]

One of the possible x-values of point F will be 6 units to the right of point G. So, the x-value of point F could be 7, since 1+6=7. That means one possible location of point F is (7,8).

The other possible x-value of point F will be 6 units to the left of point G. So, the x-value of point F could be -5, since 1–6=–5. That means the other possible location of point F is (–5,8).

So the answer is:

(7,8) and (-5,8)

A gallon of Mexican wine have a price of 433.13 Mexican pesos.

Herein we know that 0.8 liters of Mexican wine have a cost of 99 pesos and we need to determine the price for a gallon of the same beverage, that is, 3.5 liters. The price for a gallon can be determined by cross multiplication:

x = 99 MXN × (3.5 L / 0.8 L)

x = 433.13 MXN

A price of 433.13 Mexican pesos must be paid for a gallon of Mexican wine.

To learn more on cross multiplications: https://brainly.com/question/15209325

#SPJ1

Answer:

0.25x+1.75

Step-by-step explanation:

A linear equation is of the form ax+b. Set a up a system of equation with -3 and 13 substituted in to ax+b. We get -3a+b=1 and 13a+b=5. Solving tis gives us a,b=(0.25,1.75)

Answer:

f(x) = [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

a linear function has the form

f(x) = ax + b ( a and b have to be found )

given f(- 3) = 1 and f(13) = 5 , then by substitution

- 3a + b = 1 → (1)

13a + b = 5 → (2)

subtract (2) from (1) term by term to eliminate b

- 3a - 13a = 1 - 5

- 16a = - 4 ( divide both sides by - 16 )

a = [tex]\frac{-4}{-16}[/tex] = [tex]\frac{1}{4}[/tex]

substitute a = [tex]\frac{1}{4}[/tex] into (1) and solve for b

- 3( [tex]\frac{1}{4}[/tex] ) + b = 1

- [tex]\frac{3}{4}[/tex] + b = 1 ( add [tex]\frac{3}{4}[/tex] to both sides )

b = 1 [tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]

f(x) = [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex] ← is the linear function

or

f(x) = 0.25x + 1.75

The linear function that shows the proportional relationship between the distance and time is d = 100t

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

From the table given, we can find the slope of the function by using the formula

m = y₂ - y₁ / x₂ - x₁

m = 300 - 200 / 3 - 2

m = 100

To find the y - intercept,

y = mx + c

300 = 100(3) + c

300 = 300 + c

c = 300 - 300

c = 0

The equation that shows the relationship is

d = 100t

Learn more on linear function here;

https://brainly.com/question/15602982

#SPJ1

Answer: The answer is -9

Order of operations/PEMDAS:

Parenthesis, Exponents, Multiplication,

Division, Addition, Subtraction

Here is why:

using the order of operations,

do 4/-2 First

4/-2 = -2

Then do -7 + (-2)

-7 + (-2) = -2

When adding a negative plus a negative, it stays negative,

so the expression -7 +(-2) is like 7+2, it will equal 9, but because it is a negative plus a negative, the answer is negative.

Since Anthony is 30, the largest amount he can contribute and deduct from his Form W-2 for the traditional IRA for 2021 is $6,000.

The traditional IRA or individual retirement account is a pre-tax contribution an employee saves towards retirement.

With a traditional IRA, Anthony can contribute pre- or after-tax dollars, allowing his savings to grow tax-deferred while withdrawals are taxed as current income unless after the age of 59½.

An additional tax of 10% may apply if Anthony withdraws from his traditional IRA before reaching 59½ years.

However, one advantage of the traditional IRA is that the employee invests more funds upfront since the deduction is mostly made before tax.

Thus, I will advise Anthony to deduct a maximum of $6,000 from Form W-2 towards his traditional IRA to save more money in advance.

Learn more about the traditional IRA at https://brainly.com/question/2108625

#SPJ1

Answer:

A - 36 degrees

Step-by-step explanation:

117 - 81, to find another angle when given the outside of the triangle and another part of the triangle, all you have to do is subtract

The domain of the equation is 10 days and the range is the $14 left in the account.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

a) The independent variable in this problem is the number of days, represented as x. The amount of money left, the y variable is the dependent variable since it depends on the number of days left (x).

b) If there are 10 days left, we can plug it into the given equation to find the balance in the account.

y = -3x + 44                    

y = -3(10) + 44                

y = -30 + 44                    

y = 14                              

Hence, the domain of the equation is 10 days and the range is the $14 left in the account.

To learn more about the linear equation visit,

https://brainly.com/question/12788590

#SPJ4

[tex]\textit{area of a rectangle}\\\\ A=Lw ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=12\sqrt{30}\\ w=3\sqrt{5} \end{cases}\implies 12\sqrt{30}=L3\sqrt{5}\implies \cfrac{12\sqrt{30}}{3\sqrt{5}}=L \\\\\\ 4\cdot \cfrac{\sqrt{30}}{\sqrt{5}}=L\implies 4\cdot \sqrt{\cfrac{30}{5}}=L\implies 4\sqrt{6}=L[/tex]

Answer:

x = 3y-6

x = -y

x = -y

x=y-4

x = y/3 - 1/3

x = 2y

Step-by-step explanation:

Answer:

2.25 seconds ; 88 feet

Step-by-step explanation:

the maximum height of the rocket is the vertex of the parabola

x coordinate = -72/2(-16)

-72/-32 = 2.25 seconds

y coordinate = -16(2.25)^2 + 72(2.25) + 7

-81 + 162 + 7

-81 + 169

88 feet

Answer:

this is the answer hope it's right 1,356

Answer:

1.5 × 10^14 m²

Step-by-step explanation:

71% of the surface is covered with water.

The total surface of the Earth is 100% of the surface.

100% - 71% = 29%

29% of the surface is not covered with water.

29% of 5.1 × 10^14 m² =

= 0.29 × 5.1 × 10^14 m²

= 1.479 × 10^14 m²

= 1.5 × 10^14 m²

Answer:

Below

Step-by-step explanation:

I think you will need to be more specific, but it could be

3  8  8   12     or something like    2  8  8  11    or    1  8  8  10    etc

For the given quadratic equation we have:

a) F(-2) = 5

b) F(3) = 40

c) the solutions are:

t = -1

t = -1/3

Here we have the following quadratic function:

F(t) = 3t^2 + 4t + 1

a) First, we want to determine the value of F(-2), to do so, we just need to replace the values of the variable, t, by the number -2, we will get:

F(-2) =3*(-2)^2 + 4*(-2) + 1

F(-2) = 3*4 - 8 + 1 = 5

F(-2) = 5

b) Now we want to find the value of the F(3), so this time we evaluate in x = 3.

F(3) =3*3^2 + 4*3 + 1

F(3) = 27 + 12 + 1 = 40

F(3) = 40

c) Last, we want to solve:

F(t) = 0

So we need to solve the quadratic equation:

3t^2 + 4t + 1 = 0

Using the quadratic formula we will get the two solutions:

[tex]t = \frac{-4 \pm \sqrt{4^2 - 4*3*1} }{2*3} \\\\t = \frac{-4 \pm 2}{6}[/tex]

Then the two solutions are:

t = (-4 + 2)/6 = -2/6 = -1/3

t = (-4 - 2)/6 = -1

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answer:

c

Step-by-step explanation:

the answer is c.

.

.

.

.

.

.

Answer:

A. 1:7

Step-by-step explanation:

Just took the test

Answer:

ANSWER

Step-by-step explanation:

1 kilometer = 1000 meters.

4 kilometer times 1000 meters = 4000 meters

Answer: 4000 meters

Step-by-step explanation:

4 x 1000 = 4000

Answer:

64

Step-by-step explanation:

We can solve this using PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). We do parentheses first, then exponents, all the way down to subtraction:

1. Parentheses

(1 + 3)³ -(2)2 + 4

4³ - (2)2 + 4

(By the way, (2)2 is considered multiplication not parentheses).

2. Exponents

4³ - (2)2 + 4

64 - (2)2 + 4

3. Multiplication

64 - (2)2 + 4

64 - 4 + 4

4. Division

None.

5. Subtraction

(Even though PEMDAS is labeled as addition before subtraction, in the MD | AS part, whichever one comes first in either section of the equation goes first):

64 - 4 + 4

60 + 4

6. Addition

60 + 4

64

Solution:

64

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

Step-by-step explanation:

First one is C

Second is B

third i cant see all of the answers

Answer:

14 ;)

Step-by-step explanation:

 (9(3))^(2/3) + (2(4))^(2/3) + (-1)^(2/3) 

8 + 4 + 1 = 14 

The answer to this math problem is 14.

Pls vote brainliest

For the given function, h(x) = x² - 1, over the interval -3 ≤ x ≤ -1, the average rate of change is 4.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

h(x) = x² - 1, and the interval is -3 ≤ x ≤ -1.

To find average rate of change for the function,

Use formula,

Average rate of change = [tex]\frac{h(b)- h(a)}{b-a}[/tex]

h(b) = h(-1) = (-1)² - 1 = 0

h(a) = h(-3) = (-3)² - 1 = 8

Rate of change = [tex]\frac{8 - 0 }{-1 - (-3)}[/tex]

                          = 8 / 2

                          = 4

The average rate of change is 4.

To know more about Function on:

https://brainly.com/question/2411204

#SPJ1

The total amount remaining after the deduction of $14.5 from $290.34 is $275.823.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.

As we know that there will be a 5% of deduction of tax,

Calculate the amount after the tax deduction,

Amount  = 5 / 100 × $290.34

Amount = $14.5

The remaining amount after tax deduction = 290.34 - 14.5 = $275.823

Therefore, the total amount remaining after the deduction is $275.823.

To know more about interest:

https://brainly.com/question/29222674

#SPJ1

The complete question is:

Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances. Find the total amount after deduction.