Which expression is equivalent to the following complex fraction? 2 minus startfraction 1 over y endfraction divided by 3 startfraction 1 over y endfraction startfraction 3 y 1 over 2 y minus 1 endfraction startfraction (2 y minus 1) (3 y 1) over y squared endfraction startfraction y squared over (2 y minus 1) (3 y 1) endfraction startfraction 2 y minus 1 over 3 y 1 endfraction

Answer: 50

Step-by-step explanation:

equation is 5x-40+150=360

combine like terms = 5x+110=360
Subtract 110 from both sides = 5x=250
x=50

Answer: 1 year

Step-by-step explanation:

[tex]\mathrm{Compound \ Interest \ Formula}\\$$\begin{aligned}&A=p\left(1+\frac{r}{n}\right)^{n t} \\&A=420+33.60=\$ 453.60 \\&p=\$ 420 \\&r=8 \% \\&n=1\end{aligned}$$[/tex]

[tex]\mathrm{Solving \ for \ t:}[/tex]

[tex]$$\begin{gathered}453.60=420\left(1+\frac{8}{100}\right)^{1 . t} \\453.60=420\left(\frac{108}{100}\right)^{t} \\\frac{453.60}{420}=\left(\frac{108}{100}\right)^{t} \\1.08=(1.08)^{t}\end{gathered}[/tex]

[tex]\mathrm{Taking \ log \ of \ both \ sides}\\\log 1.08=\log (1.08)^{t}$ \\\log 1.28=t \log (1.08)$ \\1=t$ \\$t=1$\\[/tex]

Therefore, the period of time taken to earn $33.60 was 1 year

Answer:

The answer that yoy are looking for is D

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

D

Step-by-step explanation:

I did the quiz on edge

Answer:

2.is a function

Domain:(0,1,2,3)

Range: (0,-1,-2,-3）

3. Not a function

4. Is a function

D:(0,1,2,3)

R:(1,2,3,4,)

Answer:

2/6

Step-by-step explanation:

possible outcomes are 1, 2, 3, 4, 5, and 6. since there are 6 outcomes its out of 6. less that 3 is 1 and 2. 2/6

1/3

Step by Step Explanation:

120ft³ = 3ft × 4ft × 10ft

120ft³ = 1ft × 1ft × 120ft

120ft³ = 2ft × 2ft × 30ft

120ft³ = 5ft × 3ft × 8ft

...

Taking fractions or mixed numbers as dimensions, you can give infinitely many such shapes with a volume of 120ft³.

Answer: y=-0.4x+2

Step-by-step explanation:

8 < 4r < 12

Solve for r by dividing all terms by 4:

2 < r < 3

Answer: The value of b is $0.15.

Step-by-step explanation:

Total bottles co0llected = 14+9 =23

Payment for each bottle = b

Total payment she will get = 23b

One -time service fee = $0.25

She has left = $3.20

According to the question,

23b - 0.25 = 3.20

⇒23b = 3.20+0.25

⇒23b = 3.45

⇒b = 0.15   [divide both sides by 23]

Cost of each bottle = $ 0.15

hence, the value of b is $0.15.

Answer:

B. $0.15

Step-by-step explanation:

Answer:

yikes 150mph

Step-by-step explanation:

[tex] - \sqrt{72} = - \sqrt{2 {}^{3} \times 3 {}^{2} } = - 2 \times 3 \sqrt{2} = - 6 \sqrt{2} [/tex]

[tex] - 4 \sqrt{8} = - 4 \sqrt{2 {}^{3} } = - 4 \times 2 \sqrt{2} = - 8 \sqrt{2} [/tex]

[tex] - \sqrt{72} - 4 \sqrt{8} = - 6 \sqrt{2} - 8 \sqrt{2} = - 14 \sqrt{2} [/tex]

Answer:

x = -9

-2 x -9 = 18

18 + 7 = 25

1 cm.......18 km

so area

1 cm² = 18x18 = 324 km²

n cm² = 2106 km²

324 x n = 1 x 2106

n = 2106 : 324 = 6,5 cm²

The overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axes. The dot plot is also known as the strip plot.

Figure of the dot plot of the team 1 and team 2 is attached below. The overlap of the team 1 and the team 2 has to be found out.

The overlaps mean in the dot plot is height, which both the graphs of dot plot have in same.

In the attached image, it seen that the overlap of the team one and team 2 is higher.

Hence, the overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

Learn more about the dot plot here;

https://brainly.com/question/15853311

The hypotheses of the company are:

The hypotheses consist of the null and the alternate hypotheses

The null hypothesis is always represented by the equal to "=" sign.

So, the null hypothesis is:

H0: The mean life of Brand A is 1000 hours

From the question, we understand that the evidence is to show that the mean life is greater than Brand B.

So, the alternate hypothesis is:

H1: The mean life of Brand B is more than 1000 hours

Read more about null and alternate hypotheses at:

https://brainly.com/question/15980493

Answer:

[tex]\displaystyle h = \frac{A-2\pi r^2}{2\pi r}[/tex]

Step-by-step explanation:

Recall that the surface area A for a cylinder is given by:

[tex]\displaystyle A=2\pi r^2+2\pi rh[/tex]

And we want to solve for the height h.

First, subtract [tex]2\pi r^2[/tex] from both sides. This yields:

[tex]2\pi rh= A-2\pi r^2[/tex]

Now, we can dvide both sides by [tex]2\pi r[/tex]. This yields:

[tex]\displaystyle h = \frac{A-2\pi r^2}{2\pi r}[/tex]

And we're done!

Answer:

The answer is

[tex] \huge \boxed{y = - \frac{1}{2} x - 8 }[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (0,-8) and slope - 1/2

We have

[tex]y + 8 = - \frac{1}{2} (x - 0) \\ y + 8 = - \frac{1}{2} x \\ y = - \frac{1}{2}x - 8[/tex]

We have the final answer as

[tex]y = - \frac{1}{2} x - 8 \\ [/tex]

Hope this helps you

Answer:

1. RULE - A wood for taking length measurements

2. TERMS - Parts of an expression or series

3. FINITE - Countable

4. DIAMOND - Also known as a rhombus

5. ARRANGE - Place a given number of terms in order

6. PATTERN - Repeating sequence

7. INFINITY - Continuous indefinitely

8. SEQUENS - (in et sequens) And the next

9. CONSECUTIVE - Numbers arranged such that they follow each other and having no gaps

10. ICONOGRAPHICAL - (the P was added to find a closely related word) Interpretation and description of images

Step-by-step explanation:

Answer:

Q2. yards/ second= 92/8 = 11.5

Q3. 192/6 =32

Q4 123/15 =8.2

Q5. 192/3 =64

remember you need to add the unit

Step-by-step explanation:

The difference in total premium costs over 20 years at the two age levels is $12875.

Face value is a term used to describe the nominal value of a security, as stated by its issuer.

Let us consider the entire scenario for a 40-year old male.

Annual life insurance premium per 1000 of face value = $22.60

So, the annual life insurance premium for a $125,000 whole life insurance policy = 125000/1000 * 22.60 = $2825.

For 20 years the premium will be = 2825*20 = $56500

Let us consider the entire scenario for a 45-year old male.

Annual life insurance premium per 1000 of face value = $27.75

So, the annual life insurance premium for a $125,000 whole life insurance policy = 125000/1000 * 27.75 = $3468.75

For 20 years the premium will be = 3468.75*20 = $69375

The difference in total premium costs over 20 years = 69375-56500 The difference in total premium costs over 20 years = $12875

Therefore, The difference in total premium costs over 20 years at the two age levels is $12875.

To get more about face value visit:

https://brainly.com/question/24320257

Answer: c. $12,875

have a lovely day/night everyone <3

Answer:

so first we have to find km per hour

so lets divide 452/17=26.5882352941

so it travels 26.6 km per hour so lets mulitply for the 9 hours

26.6*9=239.4

it can travel 239.4 km in 9 hours

Hope This Helps!!!

4x + 5: m = 4

8x - 3: m = 8

1/2x - 4 = x/2 = -4

0.5x + 3.5: m = 0.5

Answer:

1) The convers of the conditional statement is;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) The convers of the conditional statement is true

Step-by-step explanation:

1) The given statement is presented as follows;

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

The hypothesis = A class has 3 left-handed people and 24 right-handed people = p

The conclusion = The ratio of lefties to righties is 1:8 = q

We have;

If p, then q which is p → q

The converse statement = If q, then p which is q → p

Then the converse of the conditional statement can be written as follows;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.

Answer:

D: PUR and SUR

Step-by-step explanation:

A linear par is made of two angle's whoes measure add to 180, or it forms a line. PUR and SUR form a line so therefore they are a linear pair.

The answer is D) <PUR and <SUR

A linear pair is when a pair of angles add up to 180 degrees. The angles must share 2 points and should be next to each other. They are adjacent angles  formed by two intersecting lines.

Answer:

4/5+1/3=1 2/15

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

1/5 = 0.20

1.2

Hope this helped!

Answer:

Step-by-step explanation:

2.2

Answer:

40%

Step-by-step explanation:

4/10 = 40/100 = 40%

If you need further explanation, let me know!

- profparis

Answer:

The 20% discount is $11.2, the total after the discount is $44.8, the 10% discount is $4.48, the total after that discount is $40.32

Answer:

0.35

Step-by-step explanation:

you mutiply 50 times 0.7%

Answer:

It is 50.35 kg

Step-by-step explanation:

50 x 0.007 = 0.35 (I used 0.007 because you still have to move the decimal point two places even if it is already a decimal)

0.35 + 50 = 50.35 kg

I hope my answer helps :)