**Answer: The second ratio in the proportion is set up as ounces over oranges. The units should be in the same place in proportion to the first ratio.**

**Step-by-step explanation:**

The price of the TV, which cost € 1,260, was reduced by € 189. Calculate the percentage of this TV.

Initial TV price, $1,260

price reduction, $189

percentages:

reduction percentage or discount = 189/1260 = 0.15 = **15%**

The above indicates the percentage by which the price was reduced or the discount obtained

percentage paid = (1260-189) / 1260 = 0.85 =** 85%**

This indicates that we paid 85% of the initial price.

Question Use the Distributive Property to simplify the expression. 12(6−k) =

After** simplifying** and using the **Distributive Property, **the final solution would be** **[tex]72-12k[/tex].

Hope this helps!

Write +/99 +/44 in the form avb where a and b are integers.

**Step-by-step explanation:**

[tex] \sqrt{99} = 3 \sqrt{11} \\ \sqrt{44} = 2 \sqrt{11} \\ 3 \sqrt{11} + 2 \sqrt{11} = 5 \sqrt{11} [/tex]

**Answer:**

[tex]3 \sqrt{11} [/tex]

[tex]4 \sqrt{11} [/tex]

because we rewrite it as integer statements

Which graph is the solution of the system

x+2y≤16

4x+y>6

1 2 3 4

**Graph 1** shows the correct representation the** solution** of the system.

For the given question;

The **system **of linear equation are given as;

x + 2y ≤ 16 .......eq 1

4x + y > 6 ......eq 2

Consider equation 1;

x + 2y = 16

For x = 0; y = 8 , Point = (0, 8)

For y = 0, x = 16, Point = (16, 0)

As the inequality of the eq 1 is less than equal to, the** shaded region** will lies below the line with** solid lines.**

Consider equation 2;

4x + y = 6

For x = 0; y = 6 , Point = (0, 6)

For y = 0, x = 1.5, Point = (1.5, 0)

As the** inequality **of the eq 2 is greater than, the shaded region will lies above the line with doted lines.

Thus, graph 1 shows the correct representation the** solution** of the system.

To know more about the **solution of system of linear equation,** here

**https://brainly.com/question/13054392**

**#SPJ13**

Is 91.470 rational or irrational?

The **number** 91.470 is the** rational** number.

For the given number.

91.470 can be written in the** fraction** as;

91470/1000

Or 914/100

As, the form is p/q where q ≠ 0.

Thus, the **number 91.470** is the** **rational number.

To know more about the** rational number, **here

**https://brainly.com/question/13895659**

**#SPJ13**

Week 1: saves $ 35 Week 2 : saves $ 10 Week 3: spends $ 20 Week 4: spends $ 5 Week 5 saves $15 Week 6: saves $10 Susan wants to go on a vacation to the beach with her friends . For six weeks she keeps track of how much money she spends and saves . For the next six weeks she plans on increasing the amount she saves by $10 and decreasing the amount she spends by $5. How will this affect the MEAN amount of money that Susan has ? A) The mean will not change . B) The mean will increase by approximately $5. ) The mean will increase by approximately $ 8. D) The mean will increase by approximately $15. E) The mean will increase by approximately $30.

**B) The mean will increase by $5**

1) The first scenario has the following mean, adding all the spendings and savings:

[tex]x=\frac{35+10+20+5+15+10}{6}=\frac{95}{6}=15.83[/tex]2) Since for the following week there's an increase of $10 for her savings and a decrease of $ 5 we can write:

[tex]\begin{gathered} x=\frac{(35+10)+(10+10)+(20-5)+(5-5)+(15+10)+(10+10)}{6}= \\ =\frac{45+20+15+0+25+20}{6}=\frac{125}{6}=20.83 \end{gathered}[/tex]3) We can see that the mean changes, and examining the options we can state that:

the answer is B, the mean will increase by $5

write the equation Log 243 81= 4/5

**Given **

[tex]\log _{243}81=\frac{4}{5}[/tex]

**Procedure **

Exponential form

[tex]\begin{gathered} 243^{4/5}=81^{} \\ \end{gathered}[/tex]You are the manager of a rental car company. A customer, Sandy Furrow, has asked you for an estimate of charges for a nine day rental of an SUV. She expects to drive 670 miles. If the company charges $55.50 per day plus 15 1/2 cents

per mile for this category of vehicle, what would be the total rental charge (in $) for Sandy's trip?

The **total **cost of her **trip **will be of $159.7.

**Equations **are mathematical statements with **two algebraic **expressions flanking the **equals **(=) sign on either side. It demonstrates the **equality **of the **relationship **between the **expressions **printed on the **left **and **right** sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

**Coefficients**, **variables**, **operators**, **constants**, **terms, expressions**, and the **equal **to **sign **are some of the **components** of an equation.

given:

**Cost **of 16 cents per mile= 16/100 = 0.16

**Cost **of $52.50 per day =52.50

**linear function **for the charge y in **function **of the **number **of **miles **x is:

y(x) = 0.16x + 52.50

The cost of driving 670 miles

So, y(670) = 0.16 x 670 + 52.50

y(670) = 107.2 + 52.50

y(670) = 159.7

Hence, The **total cost **of her trip will be of $159.7.

Learn more about **equation **here:

https://brainly.com/question/10413253

#SPJ1

The circumference of a circle is 16 M what is the diameter of the circle

Given

Circumference, C = 16m

Find

diameter

Explanation

We know Circumference of a circle

[tex]\begin{gathered} C=2\pi r \\ 16=2\times\frac{22}{7}\times r \\ \frac{16\times7}{2\times22}=r \\ \frac{4\times7}{11}=r \\ \frac{28}{11}=r \end{gathered}[/tex]diameter = 2r

[tex]undefined[/tex]

Please help with #9 i’m on please help with angles

We know that two angles shown have to add to a right angle, which measures 90°, then we have the equation:

[tex]\begin{gathered} x+5x=90 \\ 6x=90 \\ x=\frac{90}{6} \\ x=15 \end{gathered}[/tex]Hence, the value of x is 15°; which means that:

[tex]\begin{gathered} x=15 \\ 5x=75 \end{gathered}[/tex]**Therefore, the angles are 75° and 15° **

What values of b satisfy 4(3b+2)^2=64

[tex]4(3b+2)^2=64[/tex]

solve for b:

take the square root of both sides:

[tex]\begin{gathered} \sqrt[]{4(3b+2)^2}=\sqrt[]{64} \\ \sqrt[]{4}\cdot\sqrt[]{(3b+2)^2}=\pm8 \\ 2(3b+2)=\pm8 \\ 6b+4=\pm8 \\ so\colon \\ b=\frac{\pm8-4}{6} \end{gathered}[/tex]therefore:

[tex]\begin{gathered} b=\frac{2}{3} \\ or \\ b=-2 \end{gathered}[/tex]**Answer: b=2/3 and b=-2**

**Step-by-step explanation:**

1. Angle AOC has what measurement according to the protractor?

In order to find the measure of angle AOC, let's start looking at point A.

Point A is in position 180, if we look in the upper numbers, and in position 0, if we look in the lower numbers.

Since it's easier to find the angle if one vertex is at position 0, let's consider position 0° for A.

Then, looking at point C, it is in position 130° in the upper numbers and 50° in the lower numbers.

Since we choose the lower numbers for A, we need to do the same for C.

Therefore A is in position 0° and C is in position 50°.

To find angle AOC, let's subtract both measurements/positions:

[tex]\text{AOC}=50\degree-0\degree=50\degree[/tex]Therefore angle AOC measures 50°, and **the correct option is C.**

If x = 9 and 4x + 7 = y

Then 4(9)+7 = y

This is an illustration of which property?

**Answer: Substitution property**

**Step-by-step explanation:**

It's substituting a variable into an equation.

2. The graph below shows the relationship between the number of pages printed (x) at a print shop and the total price (y), in dollars. Print Shop Prices у 9 Total Price ($) Based on the graph, what is the unit price at the print shop?

Let:

[tex]\begin{gathered} (x1,y1)=(2,1) \\ (x2,y2)=(4,2) \\ so\colon \\ m=\frac{y2-y1}{x2-x1}=\frac{2-1}{4-2}=\frac{1}{2}=0.5 \end{gathered}[/tex]Instructions: Find the measure of the indicated angle to thenearest degree.

Given:

• Length of side adjacent the indicated angle = 48

,• Length of hypotenuse = 56

Let's find the measure of the indicated angle.

To find the measure of the indicated angle, apply the trigonometric ratio formula for cosine:

[tex]cos\theta=\frac{adjacent}{\text{ hypotenuse}}[/tex]Thus, we have:

[tex]\begin{gathered} cos\theta=\frac{48}{56} \\ \\ cos\theta=\frac{6}{7} \\ \\ \text{ Take the inverse cosine of both sides:} \\ \theta=cos^{-1}(\frac{6}{7}) \\ \\ \theta=31^o \end{gathered}[/tex]**Therefore, the measure of the indicated angle is 31 degrees.**

**ANSWER**

Use the distributive property to write an equivalent expression.

8(4n+ 3) =

12x-6=

5x+20=

3(x+6)=

7x-35=

20p + 16 =

The **distributive property** to write an equivalent **expression**.

8(4n+ 3) = 32n + 24

12x-6= 1/2

5x+20= 4

3(x+6)= 3x + 18

7x-35= 5

20p + 16 = 4/5

A distributive property in mathematics is defined:The **distributive** **property** states that multiplying the sum of two or more addends by a number yields the same result as **multiplying** each addend separately by the number and combining the resulting products.

One of the most **common** **properties** in arithmetic is the distributive property. The multiplier is applied to each integer inside the parentheses, and the results are added to obtain the answer. This technique is used to simplify and solve **multiplication** **problems**.

the distributive property to write an equivalent .

8(4n+ 3)

= 8 * 4n + 3* 8

= 32n + 24

for 12x-6

12x-6 = 0

x = 6/12

x = 1/2

For 5x+20

5x+20 =

x = -4

For 3(x+6)

= 3 * x + 3 * 6

= 3x + 18

For 7x-35

= 35/7

= 5

For 20p + 16

= 20/16

= 5/4

To know more about **distributive** **property **visit:

https://brainly.com/question/11928460

#SPJ13

What’s the correct answer answer asap for brainlist

**Answer:**

I would say C but I'm really not sure hope this helps

what percentage increase from 9,620,000 to 9,980,000. Round to the earedt tenth of a percent.

Answer:

**3.7%**

Explanation:

Given

Original value = 9,620,000

New values = 9,980,000.

Increment = New - Original

Increment = 9,980,000 - 9,620,000

Increment = 360,000

%increae = 360,000/9,620,000 * 100

%increase = 3.7%

**Hence the percentage increase is 3.7%**

HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 50 points

The perimeter of the figure is 18 units. Complete the statements to find the side lengths.

1. Find the distance from A to B. Explain how you found this distance.

2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.

3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.

**Answer:**

**Step-by-step explanation:**

You want the lengths of the **unknown sides** in the given trapezoid **figure**, knowing that the **perimeter is 18 units**.

The side AB is a vertical line segment, so its length can be found by finding the difference of y-coordinates of its end points.

AB = (2) -(-4) = 2+4 = 6

**The length of AB is 6 units**.

The sum of the lengths of vertical and horizontal segments is ...

AB +BC +CD = 6 +4 +3 = 13

**The total distance from A to D along vertical and horizontal segments is 13 units**.

The perimeter is the sum of the lengths of all sides.

perimeter = AB +BC +CD +AD

18 = 13 + AD . . . . . . substitute known values

5 = AD . . . . . . . . . subtract 13

**The length of segment AD is 5 units**.

__

*Additional comment*

Finding the length of a vertical or horizontal line is no different than finding the distance between two points on a number line.

Original price $27.00 Markdown 15%

The final price after applying the markdown will be: 27-0.15(27.00)= 27-4.05= $22. 95

how do you use Congruence and similarity criteria to prove relationships in geometric figures?

Congruence and similarity criteria are used to determine congruence and proportional relationships respectively. That is, congruence criteria is used to establish a relationship of equivalence, and similarity criteria is used to establish a relationship of proportion with a common ratio between the figures.

Jack borrows $2,700 at a rate of 8.2% per year. How much total will he pay if it takes 3 months to repay the loan?

well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35[/tex]

Write a biconditional for the following conditional. Then state the truth value of the statement

If two lines intersect at right angles, then they are perpendicular.

The biconditional for the **conditional statement **is : Two line intersect each other at right angles . The two lines are perpendicular.

A **conditional statements** are part of mathematical **reasoning**, a fundamental ability that enables students to evaluate a given **hypothesis **without reference to a particular context or meaning.

The truth value for the **conditional **statement is true as we know that when two lines intersect at 90° then they are said to be perpendicular.

to learn more about **conditional statement **visit:

https://brainly.com/question/10714086

#SPJ1

The heights of ten-year-old males are normally distributed with a mean of 57.4 inches and a standard deviation of 5.1 inches. If a pediatrician selects a random sample of 46 ten-year-old males from his patient population, what is the probability that the mean height of this sample will be greater than 57 inches?Round your answer to at least three decimal places

**Given:**

**Required:**

We need to find the probability that the mean height of this sample will be greater than 57 inches,

[tex]P(x>57).[/tex]**Explanation:**

Consider the formula to find the z-score.

[tex]z=\frac{\mu-x}{\frac{\sigma}{\sqrt{n}}}[/tex][tex]Subst\text{itue }\mu=57.4\text{, }\sigma=5.1,\text{ n=46 and x=57 in the formula.}[/tex][tex]z=\frac{57-57.4}{\frac{5.1}{\sqrt{46}}}[/tex][tex]z=\frac{-0.4}{\frac{5.1}{\sqrt{46}}}[/tex][tex]z=-0.4\times\frac{\sqrt{46}}{5.1}[/tex][tex]z=-0.5319[/tex]From the z table, we get

[tex]P(x<57)=0.2974[/tex][tex]\text{We know that }P(x>57)=1-P(x<57).[/tex][tex]Substitut\text{e }P(x<57)=0.2974\text{ in the equation.}[/tex][tex]P(x>57)=1-0.2974.[/tex][tex]P(x>57)=0.7026.[/tex][tex]P(x>57)=0.703.[/tex]

**Final answer:**

**The probability that the mean height of this sample will be greater than 57 inches is 0.703.**

(3m + 5) - (6 - 5m) answer this for me

**Answer: If you are simplifying the expression, 8m-1 is your answer.**

**If you are finding the roots of this polynomial, 1/8 is your answer. (Can also be written as 0.125, 2^-3)**

The lengths of the sides of a triangle are 5,6, and 7. If the perimeter of a similar triangle is 36, what is the length of the shortest side of the similar friangle? A) 5 B) 10 C) 4 D) 6

The length of the sides of a triangle are 5, 6 and 7.

If the perimeter of a similar triangle is 36

Perimeter of a triangle = a + b+ c

The perimeter of the first triangle is

P = 5 + 6 + 7

P = 11 + 7

P = 18

To find the smallest lengths

18 / 36 = 5 / x

Introduce cross multiplication

36 x 5 = 18 * x

180 = 18x

Divide both sides by 18

180/18 = 18x/18

x = 180/18

x = 10

The answer is 10

Please help me solve question 6 on this algebra 1 worksheet

We have that one simply way to write that equation is

[tex]\frac{2}{3}(21q^2-3q+7)[/tex]Because we have that

[tex]undefined[/tex]Given the graph below write an equation of the form f(x) = Acos(w(x-c))+D

Amplitude = (Maximum + Minimum)/2 , = (1 + 1.8)/2= (2.8)/2= 1.4

Period = distance for the function to repeat. So, the distance is from -0.5 to 3.5, then it is 4, then it is smaller than 2 times pi number.

C is the distance from the Y axis to the function.

D is the horizontal line that passes through the middle of the distance between the maximum and minimum point, which is in that case the same one as the period has to use

Then, the formula is:

[tex]\begin{gathered} f(x)=Acos(w(x\text{ -c\rparen + D A is amplitude, C is horzontal distance and D}midpoint \\ \\ f(x)=1.4cos(4(x\text{ - 1.7\rparen+\lparen-0.4\rparen} \\ f(x)=1.4cos(4x\text{ - }6.8)\text{ - }0.4 \end{gathered}[/tex]) POLYNOMIAL AND RATIONAL FUNCTIONSVord problem involving the maximum or minimum of a quadrati.

**SOLUTION:**

**Case**: Minimum and Maximum functions

**Given**:

**Required**: To find the minimum Unit cost

**Method**: we apply completing square on the function

**Step 1:** First we find the square of half the coefficient of x

**Step 2:** Add and subtract the value to the Right Hand Side

**Step 3**: From the equation

The quantity need to be produced to get the minimum unit cost is 220.

The value of the minimum cost therefore is obtained at C(220).

This would give:

C(220)= $19863

**Final answer:**

**The minimum unit cost is $19863. Ignore the dollar sign($) when entering your answer.**

Determine whether the line that passes through points (-2, 1) and (6, 5) is parallel, perpendicular or neither to a line with a slope of -2.

We have a line with slope -2. A parallel line would have a slope of -2 too, and a line perpendicular to it will have a slope of 1/2.

If line A is perpendicular to B, the slope of B is the inverse multiplicative of the sloe of A. That is why a line perpendicular to the one with slope -2 is 1/2:

[tex]\text{Perpendicular Slope}=-\frac{1}{-2}=\frac{1}{2}[/tex]Now we know the slopes for both cases: parallel and perpendicular. If the slope is different to -2 or 1/2, we can say that is not parallel nor perpendicular to the line given.

Let's evaluate the slope of the line that passes through points (-2, 1) and (6,5).

The slope is given by the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where x₁ and y₁ are the x and y-coordinates of the first point (-2 and 1), and x₂ and y₂ are the x and y coordinates of the second point (6 and 5, respectively).

Replacing values:

[tex]\begin{gathered} m=\frac{5-1}{6-(-2)}=\frac{4}{6+2}=\frac{4}{8} \\ \\ m=\frac{1}{2} \end{gathered}[/tex]**The slope of the line passing through the points given is 1/2, then, according to what was said above, that line is ****perpendicular**** to a line with slope -2**.

solve for v: -28 = v +-12
The amount of energy required to rise one gram of a substance, one degree Celsius is called?
[Isosceles and Equilateral Triangles] Solve for x.
Please explain and help me get the correct answer. Thank you. Practice work that is not graded.
When the government does not use quotas, taxes or other means to restrict what its citizens can buy from or sell to another country, it is called trade.
A sequence is defined recursively using the formula f(n+1) =-0.5f(n) . If the first term of the sequence is 120, what is f(5)?157.57.515
two nurses are discussing healthcare quality. they agree that this factor contributes to increased health care quality: group of answer choices non magnet status hospitals fewer adverse events collaboration of multiple healthcare agencies increased patient confidence
in the united states, the mean birth weight for boys is kg, with a standard deviation of kg. assuming that the distribution of birth weight is approximately normal, complete parts a through e.
8. Tabitha made 12 out of 23 free throw attempts in the first half of practice and 20 outof 27 attempts in the second half of practice. What is her free throw average for thewhole practice, written as a decimal?
micrometers, T is measured in seconds, and D accounts for the weakening of the earthquake due to the distance from the epicenter. If an earthquake occurred for 4 seconds and D = 2, which graph would model the correct amount on the Richter scale?
Please help super confused ASAP. Find f(-9) if f(x) = -2x + 5. Enter DNE if the value does not exist.f(-9)=
Write an equation of the parabola in vertex form.(-2, 6)(-1,3)
What is the number of moles in 825l of he gas at stp?
Do you think careers in computer graphics and animations are more artistic or more technical? Explain your answer
Ming had 59 birthday cupcakes. He gave 30 cupcakes to his classmates at school. Ming's family ate another 11 cupcakes at home.How many cupcakes does Ming have left?
Drop down options for 1 2 and 4 are Forest A or Forest B
IS THIS A FUNCTION YES OR NO?? (ALGEBRA 1)
2b+3=7 2z+2=86b+2=147d3=18
What is the value of x in the equation x = 6 3x + 8?147147
Kaylie is 6 years old. Her sister, Amanda is 2x younger. Kaylie is now 36. How old is Amanda?