Solve the equation for

The price per roll for Lidal and Oldi shop is 0.35 and 0.36 respectively.

Therefore Lidal shop is the best value for money.

Given,

Lidal shop:

8 rolls costs  2.80

∴ one roll costs = 2.80/8

                        = 0.35

Oldi shop:

9 rolls costs 3.24

∴ one roll costs = 3.24/9

                        = 0.36

Hence we get the per price for the shops as 0.35 and 0.36

we can see that for lidal shop if per roll it is 0.35 then if a person wants to buy 9 rolls then it will cost him 3.15, whereas in the case of oldi shop the price for 9 rolls is 3.24.Therefore, lidal shop is the best value for money.

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Determining a car's depreciation over a ten year period is considered a bivariate.

A Bivariate data is made up of two variables that are observed against each other. In determining the deprecation of a car, the cost of the car is observed against the passage of time and the depreciation factor.  

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Answer:

  ending balance = $623.02

Step-by-step explanation:

Amounts you spend get subtracted from your bank balance. Amounts you earn get added.

Your ending balance is ...

  ending balance = beginning balance - expenses + earnings

  ending balance = $1250.33 -(184.59 +654.50 +112.11) +323.89

  ending balance = $623.02

Using proportions, it is found that:

a) He has 24 videogames left.

b - I) He kept 15 videogames for himself.

b - II) The selling price of a videogame was of $800.

c) He received $15,200 from the sale of the videogames.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Item a:

He has 3/5 of 40 videogames left, hence:

3/5 x 40 = 3 x 8 = 24.

He has 24 videogames left.

Item b:

He kept 5/8 of the 24 videogames, hence:

5/8 x 24 = 5 x 3 = 15.

He kept 15 videogames for himself.

He also sold 9 videogames for $7,200, hence the selling price of one of them is:

7200/9 = $800.

Item c:

Earned $7,200 plus 500 for 16, hence:

T = 7200 + 500 x 16 = $15,200.

He received $15,200 from the sale of the videogames.

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Answer:

A = 120

Step-by-step explanation:

To find angle A we will need to use the law of cosines, since we know the three sides of the triangle.

a^2=b^2+c^2−2*b*c*cosA

(2 sqrt(13)) ^2 = 6^2 + 2^2  + 2 * 6 * 2 cos A

4*13 = 36 + 4 - 24 cos A

52 = 40- 24 cos A

12 = -24 cos A

-1/2 = cos A

Take the inverse cos of each side

cos^-1(-1/2) = cos^-1(cos A)

120 = Cos A  or 240 = Cos A

A cannot be greater than 180 so A = 120

Answer:

A = 120°

Step-by-step explanation:

We can use the cosine rule to solve for angle A, since lengths of all sides are known:

[tex]a^2 = b^2+ c^2 - 2(b)(c) \space\ cos A[/tex]

where a, b, and c are the sides opposites angles A, B, and C respectively.

∴ a = 2√3 , b = 6, c = 2

• Rearranging the formula to make A the subject:

[tex]2(b)(c) \space\ cos A = b^2 + c^2 -a^2[/tex]

⇒  [tex]cos A = \frac{b^2 + c^2 -a^2}{2(b)(c)}[/tex]

⇒  [tex]A = cos^{-1}(\frac{b^2 + c^2 -a^2}{2(b)(c)} )[/tex]

• Now we can substitute the values into the equation to calculate the value of angle A:

[tex]A = cos^{-1}(\frac{6^2 + 2^2 -(2\sqrt{13})^2}{2(6)(2)} )[/tex]

⇒  [tex]A = cos^{-1} (-\frac{1}{2} )[/tex]

⇒  A = 120°

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

It would be better to purchase onions at 1.99 per pound

Answer:

(1,2)

Step-by-step explanation:

first, make the equations equal each other so you can solve for x

8x-6=2x

this gives you 1

then, use what you got for x and plug it in for one of the original questions. I am gonna use 2x since its the easiest to plug in and solve

2(1)=2, so y is 2

so then x=1 and y=2

then put that into (x,y) which is (1,2)

Answer:

56.26

Step-by-step explanation:

An isosceles triangle has two sides that are the same length, and one side that is the same length. We have two sizes, so two find the greatest possible perimeter we must assume that the greater size is the value for the two sides, and the smaller size the value for the single side. In other words:

[tex]x = 15.6 + 2(20.33)[/tex]

[tex]x = 56.26[/tex]

Answer:

Step-by-step explanation:

Answer

When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right.  So when you go right 3 units, add 3 to the 5.

(5 + 3,1) = (8,1)

when going across the y axis, you are still only changing the x coordinate.

All you need do is put a minus sign in front of the  x coordinate. So your final answer is (-8,1)

Answer:

(-1,1) (-4,1) (-4,3)

Step-by-step explanation:

literally mirror shape A to the y-axis

the original cordinates:

(1,1) (4,1) (4,3)

would now be

(-1,1) (-4,1) (-4,3) because it's reflected

The population size after 6 years and after 8 years are 147 and 169 population respectively

The standard exponential function is expressed as y = ab^x

where

a is the base

x is the exponent

Given the function that represents the population size P (t) of the species as shown;

[tex]p(t)=\frac{550}{1+5e^{-0.1t}} \\[/tex]

For the population size after 6 years

[tex]p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population[/tex]

For the population after 8 years

[tex]p(t)=\frac{550}{1+5e^{-0.1(8)}} \\P(8)=\frac{550}{3.2466}\\ P(8)=169 population[/tex]

Hence the population size after 6 years and after 8 years are 147 and 169 population respectively

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The value of F(g(1)) will be equal to 0.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

From the given table we can see that the value of f(x) at 1 is 3 and the value of g(x) at 1 is 0.

The value of  f(xg(x) at x = 1 will be:-

f(xg(x) = f(x) x g(x)

           = 3 x 0

           = 0

Therefore the value of F(g(1)) will be equal to 0.

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Answer:

170

Step-by-step explanation:1/4 is just like dividing 4 so 680 divided by 4 equals 170

Answer:

B, C, E

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

The equation tells you that .4 is the slope (which is the rate of change). So B and C are both correct, if we look at E, we can put it on a graph and check if it is!

The meaning of this problem is that with 7 nurses they can only hire D=13.25

Generally, the equation for the model is  mathematically given as

[tex]P=1000D^{0.6}N^{0.3}[/tex]

Therefore,

[tex]dv/dD=0.6*1000*D^{0.4}N)^{0.3}[/tex]

[tex]dv/dD=600* \frac{N6.1}{D6.1}=0[/tex]

Also

[tex]dv/dN=300* \frac{N6.8}{N6.7}=0[/tex]

Equations 1 and 2

[tex]300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}[/tex]

.sub D=(60N)/4

[tex]300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}[/tex]

N=6.67

N=7

solve for D

D=(60(7))/4

D=13.25

In conclusion, with 7 nurses they can only hire D=13.25

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[tex]y=10^x+6\\10^x=y-6\\x=\log_{10}(y-6)\\\\f^{-1}(x)=\log_{10}(x-6)[/tex]

The simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The complete question is:

How do you simplify:

[tex]\rm 7v^3\cdot \:10u^3v^5\cdot \:8uv^3[/tex]

By using the property of the integer exponent:

[tex]\rm =560v^3u^3v^5uv^3[/tex]

[tex]\rm =560v^{11}u^4[/tex]

or

= 560v¹¹u⁴

Thus, the simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.

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Answer:

$0.3 or 30 cents

Step-by-step explanation:

if 12 pack=$360,

1 pack = ?

therefore,$360×1pack ÷ 12 packs=$30

=$30

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 700, \sigma = 50[/tex].

The probability of a month having a PCE between $575 and $790 is the p-value of Z when X = 790 subtracted by the p-value of Z when X = 575, hence:

X = 790:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{790 - 700}{50}[/tex]

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{575 - 700}{50}[/tex]

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

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Answer:

C

Step-by-step explanation:

The formula for the equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].

Since the center of this circle is (0,0) and the radius is 4, the equation will be [tex]x^2+y^2=4^2[/tex]

Have a nice day!

Answer:

the location of point G would be at G(-3,6)

Step-by-step explanation:

x=4

so 4-7 =-4

and y=3

so 3+3= 6

therefore, (x-7,y+3) = (-3,6)

The graph of [tex]y = 2 - \sqrt x[/tex] is (c) a curved line that passes through points (0,2) and (3,0.3)

The function is given as:

[tex]y = 2 - \sqrt x[/tex]

The above function is a square root function.

This means that the domain is [tex]x \ge 0[/tex]

The domain implies that options (a) and (b) are false, because they include negative x values

For option (c); set x= 0 and 3

[tex]y = 2 - \sqrt 0 = 2[/tex]

[tex]y = 2 - \sqrt 3 = 0.3[/tex]

This means that the graph of [tex]y = 2 - \sqrt x[/tex] is a curved line that passes through points (0,2) and (3,0.3)

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Answer:

5x^2(5x^2 - 1) = 0

Step-by-step explanation:

25x^4 = 5x^2

25x^4 - 5x^2 = 0

5x^2(5x^2 - 1) = 0

The correlation coefficient for two sets of numbers that are perfectly negatively correlated is -1.

Correlation is a statistical measure used to measure the relationship that exists between two variables.  Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases.

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The triangles will be congruent by SAS if x = 25 , Option C is the correct answer.

A triangle is a polygon with three sides , angles and vertices.

Two triangles are given , in the figure

They have an angle equal to each other ,

For the Triangle to be congruent by SAS , two sides of the triangles must be proportional along with the angle included must be equal.

The two sides will become proportional when x = ?

8/10 = 20 /x

On solving this

x = 25 ,

Therefore the triangles will be congruent by SAS if x = 25.

The complete question is

What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?

A) 16

B) 20

C) 25

D) 50

The figure is attached with the answer.

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Answer:

D

Step-by-step explanation:

Using the z-distribution, the 95% confidence interval for the population proportion is (0.5791, 0.7133).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]n = 195, \overline{p} = \frac{126}{195} = 0.6462[/tex]

Hence the bounds of the interval are:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 - 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.5791[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 + 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.7133[/tex]

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If the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.

Parallel working refers to the system that can process a common task simultaneously by many workers communicating with one another.

When workers perform the same task together, they tend to achieve greater speed, unlike when they work individually without communicating.

Time to sort a stack of mail by A = 45 minutes or 1/45

Time to sort a stack of mail by B = 25 minutes or 1/25

Time to sort a stack of mail by C = 1/225

Time for the three workers to sort the stack together = 1/45 + 1/25 + 1/225

= 15 minutes (5 + 9 + 1)

Thus, if the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.

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