on my paper it says determine if the ratios are equivalent the number is 20:14 and 80:56

Answer:2  hope this helps it was right on my test

Step-by-step explanation: it was right on the test i took

[tex]~~~~~~~~~~~~ \textit{Amortized Loan Value} \\\\ pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]\implies pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left(\frac{n}{n+r}\right)^{nt}} \right][/tex]

[tex]~~~~~~ \begin{cases} P= \begin{array}{llll} \textit{original amount deposited}\\ \end{array}\dotfill & \begin{array}{llll} 48000 \end{array}\\ pymt=\textit{periodic payments}\\ r=rate\to 6.1\%\to \frac{6.1}{100}\dotfill &0.061\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &6 \end{cases}[/tex]

[tex]pymt=48000\left[ \cfrac{\frac{0.061}{12}}{1-\left(\frac{12}{12+0.061}\right)^{12 \cdot 6}} \right] \\\\\\ pymt=48000\left[ \cfrac{\frac{61}{12000}}{ ~~ \frac{18249137}{59666181} ~~ } \right] \implies {\Large \begin{array}{llll} pymt \approx 797.77 \end{array}}[/tex]

well, Linda is paying that much every month for 6 years or namely 72 months, so the total for those 72 months will simply be 72(797.77) ≈ 57439.44.

hmmmm what's the interest?  well, if we simply subtract the principal from the total amount Linda is paying that'll be 57439.44 - 48000 ≈ 9439.44.

Answer:2/10

Step-by-step explanation:there are 2 sailor hats out of 10 hats meaning every 10 hats you pull you will get 2 sailor hats so this makes 2/10 correct

Therefore , the solution of the given problem of speed comes out to be

40 km/h is the average speed of bicyclist.

We can determine how fast that anything is traveling by looking at it from a distance. The amount of distance an object can go in a given length of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most used units of speed are meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph) (mph).

Here,

Given : 1/2 hour

distance travelled by bicyclist = 20 kilometers.

Thus ,

Using distance / speed formula:

=> Speed  = distance/time

=> Speed = 20 / 1/2

=> Speed = 20 * 2

=> Speed  =40

So , 40 km/h is the average speed of bicyclist.

Therefore , the solution of the given problem of speed comes out to be

40 km/h is the average speed of bicyclist.

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The amount of zakat on gold and silver is Rs 10000 and Rs 5000 respectively.

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

10 tola gold and 40 tola silver and the rate of gold is Rs 40,000 per tola and the rate of silver is Rs 5000 per tola.

Calculate the amount of gold and silver as shown below,

Amount of gold = 10 × 40000

Amount of gold = Rs 400000

Amount of silver = 40 × 5000

Amount of silver = Rs 200000

Calculate the amount of zakat on gold and silver as shown below,

Amount of zakat on gold = 2.5 × 400000 / 100  (zakat rate is 2.5%)

Amount of zakat on gold = 10000

Amount of zakat on silver = 2.5 / 100 × 200000

Amount of zakat on silver = 5000

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The Correct answer is option b. The proportion of this population that lies at or below x=87 is 0.3085.

We can conclude that the proportion of this population that lies at or below x=87 is 0.6915 because the graph shows that the area under the curve to the left of x=87 is 0.3085. However, we cannot conclude that the proportion of this population that lies at or below x=87 is 0.3085 because this statement is contradictory to the information provided in the graph.

The area under the curve to the left of x=87 represents the proportion of the population that lies at or below x=87, so it cannot also be equal to the proportion of the population that lies at or above x=87.

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we will get -2 by Simplifying (1+√3)(1-√3)​

(a+b)(a-b)= a^2 - b^2

For each of the algebra formulas, the equations with variables, powers, and arithmetic operations, and on either side of the equals to sign are called algebraic expressions/variable expressions.

In the algebraic formula (a+b)(a-b)= a2- b2, the terms on either side of the equals sign are called algebraic expressions. by applying the above-mentioned formula.

So, we can use the formula for simplifying a given algebraic expression. Take a = 3 p and b = 4 q and substitute them in the a + b times a − b formula. Thus, we use the ( a + b) ( a − b) special binomial product rule in mathematics.

(1÷√3)(1-√3)​= 1^2-(√3)^2

1-3= -2

therefore, the answer is -2

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the complete question should be

Simplify: (1+√3)(1-√3)​

The percent decrease in pay, given the amount the staff started making after the merge, is 10 %

To find the percent decrease in pay, you first need to find the absolute decrease in pay, since the boutique merged with another store. This absolute decrease is:

= Historical pay - Current pay

= 10 - 9

=  $ 1

The percentage decrease in pay would then be :

= Absolute decrease in pay / Historical pay x 100 %

= 1 / 10 x 100 %

= 10 %

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Answer: 5x+45=60 or 45x+5=60

Step-by-step explanation:

The sum of five times a number= 5x

times a number= x or n

is= equals sign

When we put it all together we get 5x+45=60

edit: If that is wrong try 45+5x=60

Hope this helps :)

The value of p is 7 and the median number of liters is 18.

Simply put, the mean is the average of the values in the given set.

When a collection of data is supplied and ordered in order, the median is the middle value.

Given that the mean number of liters is:

The mean is represented as follows:

[tex]m = \frac{16(11) + 17(10) + 18(p) + 19(4) + 20(8)}{11+10+p+4+8} = 17.7[/tex]

[tex]m=\frac{582+18p}{33+p} = 17.7[/tex]

[tex]582 +18p = 17.7(33+p)[/tex]

[tex]582 +18p = 584.1 + 17.7p\\18p-17.7p = 584.1 - 582\\0.3p = 2.1\\p = 7[/tex]

The value of p is 7.

Now arrange the table in ascending order for the motorist.

The median represents the median value and hence the median is 18.

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The inequality which correctly represents the graph as required to be determined is; 5x - y ≥ 1.

It follows observation that the two point which can be used to evaluate the slope are; ( 2, 9 ) and ( -1, -6 ).

Hence, slope, m of the boundary line is;

m = ( 9 - (-6) ) / (2 - (-1) )

m = 15 / 3 = 5.

Hence, using the point slope equation; we have;

y - 9 = 5 ( x - 2 )

y = 5x - 1

On this note, the equation of the boundary line is; y = 5x - 1.

However, in the context of inequalities, since the region below the line is shaded and the boundary line is solid, it follows that the required inequality is;

y ≤ 5x - 1

Hence, by rearranging, we have that;

5x - 1 ≥ y

Therefore, the inequality which correctly repeat the graph is; 5x - y ≥ 1.

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Answer:

Step-by-step explanation:

Answer: 336

Step-by-step explanation:

6 x 8 = 48 x 7 =336

The two teams whose win/loss records are proportional will be team 1 and term 2.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The table below shows the number of all-time wins and losses for three basketball teams.

                   Wins          Losses

Team 1.      2,222           1,916

Team 2.      1,392           928

Team 3.     2,289          1,526

The ratio of the number of wins to losses for each team is calculated as,

For team 1, then we have

⇒ 2,222 / 1,916

⇒ 1.1597

For team 2, then we have

⇒ 1,392 / 928

⇒ 1.5

For team 3, then we have

⇒ 2,289 / 1,526

⇒ 1.5

The two teams whose win/loss records are proportional will be team 1 and term 2.

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When the amount is accrued by the interest given for the number of months given, the amount becomes $ 1, 231. 56

The accrued amount when given the amount, the interest rate, and the number of periods, can be found by using the future value formula which is :

= Amount x ( 1 + rate ) ^ number of periods

The amount is $ 1, 200

The rate is given as an annual rate and so needs to be converted to a periodic rate in months :

= Rate / Number of months in year

= 3. 9 % / 12

= 0. 325 %

The future value becomes :

= 1, 200 x ( 1 + 0. 325 %) ⁸

= 1, 200 x 1. 00325 ⁸

= 1, 200 x 1.026297680

= $ 1, 231. 56

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The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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Answer:negative it would be -2

Step-by-step explanation:

Answer:

negative.

Step-by-step explanation:

36/-18=-2

Answer:

1.8 × 10-6.

Step-by-step explanation:

Answer:

Disagree with Chen

Explanation below

Step-by-step explanation:

The vertex of a quadratic function is either the minimum or maximum of that function.

We can find the value of x for which the minimum or maximum occurs by differentiating the  function with respect to x, setting the differential to 0 and solving for x.

We have

[tex]f(x) = ax^2+bx+c = 0[/tex]

Differentiating with respect to x we get

[tex]f'(x) = 2ax+b[/tex]

Setting this first derivative to 0 gives us
[tex]2ax+b =0[/tex]

[tex]2ax = -b\\[/tex]

[tex]x = -\dfrac{b}{2a}[/tex]

So the vertex will occur at

[tex]x_v = -\dfrac{b}{2a}[/tex]

Substitute this value of [tex]x _v[/tex]into the original function to get the corresponding value of [tex]y_v[/tex] for the vertex

[tex]f(x_v) = a\left(-\dfrac{b}{2a}\right)^2 +b\left(-\dfrac{b}{2a}\right) + c\\\\\\= a\left(\dfrac{b^2}{4a^2}\right) - \dfrac{b^2}{2a} + c\\\\\\= \dfrac{b^2}{4a} -\dfrac{b^2}{2a} + c\\\\\\[/tex]

[tex]\dfrac{b^2}{4a} -\dfrac{b^2}{2a} = -\dfrac{b^2}{4a}\\\\[/tex]

giving us

[tex]f(x_v) = -\dfrac{b^2}{4a} + c\\\\[/tex]

The right hand side can be simplified by multiplying throughout by 4a giving

[tex]f(x_v) = \dfrac{-b^2 + 4ac}{4a}\\\\\\[/tex]

which can be re-written as

[tex]f(x_v) = -\dfrac{b^2-4ac}{4a}[/tex]

But this is nothing but the y-coordinate of the vertex ie [tex]y_v[/tex]

So the vertex will occur at the point

[tex]\left(-\dfrac{b}{2a}, -\dfrac{b^2-4ac}{4a}\right)[/tex]

Chen is therefore incorrect

For the given expressions option A and option C are true statements.

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. It could be an integer, a fraction, a negative integer, or a decimal.

Given the expression as [tex]a^{\frac{1}{2} } = r[/tex]:

Powering the equations on both sides by n we have:

[tex]a= r^n[/tex]

Also, taking the nth root we have:

[tex]\sqrt[n]{a} = r[/tex]

Hence, for the given expressions option A and option C are true statements.

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The equation which represents the solution for x in terms of a as required is; Choice 4; 2a + 1.

As evident in the task content; the given equation is to be solved for the variable, x in terms of a;

( x - 1 ) / 2 - a / 4 = 3a / 4

( x - 1 ) / 2 = 3a / 4 + a / 4

(x - 1) / 2 = a

x - 1 = 2a

x = 2a + 1.

Ultimately, the answer choice which correctly expresses x in terms of a is; Choice 4; 2a + 1.

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Answer:

A-There is no solution

Step-by-step explanation:

if you put 2x-6 into a calculator you'll get -12 and if you add that to 6x2 you'll end up with zero.

if you do 6x-6 you get -36 add that to 36 you'll get zero again

so (-6,2) is incorrect

if you do 2x3+6x0 you get you'll get 6

if you do 6x2+18x0 you get 12

so (3,0) is incorrect

it wouldn't be infinitely many solutions either because the equations would have to be the same therefore the answer is

A-there is no solution

That's the best I can explain it sorry if it's confusing.

also, the X in this is for the multiplication in case you're confused have a nice day/night :)

Note that there is no solution for the system of equations given above (Option A)

A set of simultaneous equations is a finite collection of equations for which common solutions are sought in mathematics. It is also known as a system of equations or an equation system.

Given:

2x + 6y = 12 .......................1

6x + 18y = 18 ......................2

We will attempt to solve the above system of equations using Substitution Method.

In equation (1) , makes x the subject of the expression. Thus,

2x + 6y = 12

2x + 6y + (−6y) = 12+ (−6y) (Add -6y to both sides)

2x = −6y + 12

2x/2 = -6y + 12/2 (Divide both sides by 2); thus

x = -3y + 6  ..........................(3)

Substitute the above expression 3 into (2) above. That is:

6x + 18y = 18

6(−3y+6) + 18y = 18

-18y + 36 + 18y = 18

36 = 18 (Add -36 to both sides);

0 = - 18

Since the above expression is illogical, that is -18 ≠ 0, therefore, we must conclude that the above problem has no solution.

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The number of steps that Bert actually took while mowing the lawn is given as follows:

1875 steps.

The number of steps that Bert actually took while mowing the lawn is obtained applying the proportions in the context of this problem.

His prediction was 4% lower than the actual number of steps he took, hence we have that 100 - 4 = 96% of the total number x is equivalent to 1800 steps.

Hence the equation that is used to obtain the value of x is defined as follows:

0.96x = 1800

x = 1800/0.96

x = 1875.

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The equation in completing the square method is x= 3.15 or -3.15

Completing the square is a method of solving a quadratic equation where by the left hand side of the equation is made a perfect square.

The given equation is y=x^2+x-8

Using the completing the square method, take the constant to the RHS to get

x²+x=8

Then make the LHS a perfect square

x²+x+1/4 = 8+1/4

Factorize the RHS and simplify RHS to have

x²+5/4x +1/4=(32+1)/4

Factorize (x²+1/4c)² = 32/4

(x + 1/4)= ±√33/4

x+1/4 =±√8.25

x=--.025+2.9 or -0.25-2.9

x = 2.65 or -3.15

Thertefore, by completing the square x = x = 2.65 or -3.15

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Answer:

Step-by-step explanation:

This would depend on how much ground beef you have. In order to determine how many batches of enchiladas you can make, you would divide the total amount of ground beef you have by the number of ounces needed per batch.

For example, if you have 24 ounces of ground beef, you could make 2 batches of enchiladas because 24 divided by 12 equals 2.

a. There is a direct conversion fact you can use to go from gallons to fluid ounces.

b. The conversion factor is given as follows: 132.

c. The unit cancellation statement is given as follows: 1 gallon = 132 fluid ounces.

d. The number of fluid ounces in 2.5 gallons is of: 330 fluid ounces.

The conversion from gallons to fluid ounces is realized applying the proportions given in the table.

We have that:

Hence the conversion factor is of 132.

The number of fluid ounces in 2.5 gallons is calculated as follows:

132 x 2.5 = 330 fluid ounces.

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By the converse of the corresponding angles theorem, [tex]\boxed{x=74}[/tex].

The likely mistake is the assumption that the two labeled angles are complementary.

Answer:

See below

Step-by-step explanation:

Because lines M and N are parallel, then T is the transversal, which means that 74° and X° are corresponding angles and have the same angle measure of 74°. The friend probably thought 74° and X° were complementary angles, but this is not the case.