Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece (y) is 2 ft less than 3 times the length of the shorter piece (x).
Choose the two equations that will create our system of equations for this story problem.


A) x - y = 18

B) y = 2 - 3x

C) x + y = 18

D) y = 3x - 2

Answer: [tex]16a + 20[/tex]

Step 1: Combine Like Terms.

We have no Like Terms here, so we will leave the equation how it is.

If we leave the equation how it is, we still get [tex]16a + 20[/tex].

Therefore, our answer is still 16a + 20

Answer: the required variance is 11.6555

Step-by-step explanation:

Given data;

xi = 2 19 23 14 20 16 21 18 14 19

mean x" = 2+19+23+14+20+16+21+18+14+19 / 10

mean x" = 166 / 10 = 16.6

so;

X      xi - x"   (xi - x")²

12     -4.9     24.01

16     -0.9     0.81

23     6.1      37.21

13     -3.9     15.21

18      1.1       1.21

18      1.1       1.21

19      2.1      4.41

18      1.1       1.21

13     -3.9     15.21

19      2.1      4.41

Total           104.9

Variance =  n_i=1∑(xi - x")² / n-1

Variance = 104.9 / 9

Variance = 11.6555

Therefore, the required variance is 11.6555

Answer is a if I am not mistaken

Answer:

answer a

Step-by-step explanation:

Answer:

A sample size of 128 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.93}{2} = 0.035[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.035 = 0.965[/tex], so [tex]z = 1.81[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population(square root of the variance) and n is the size of the sample.

How large should a sample be if the margin of error is 1 minute for a 93% confidence interval

We need a sample size of n, which is found when [tex]M = 1[/tex]. We have that [tex]\sigma = \sqrt{39}[/tex]. So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.81\sqrt{39}[/tex]

[tex](\sqrt{n})^2 = (1.81\sqrt{39})^2[/tex]

[tex]n = 127.8[/tex]

Rounding up

A sample size of 128 is needed.

Step-by-step explanation:

a=

[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]

Answer:

The answer is B

Step-by-step explanation:

The formal is A = a+b/2 time h

You just substitute the variables and get the answer

Step-by-step explanation:

angle x=90°

xz=opposite

xy=adjacent

zy=hypotenuse

we neee to find acute angle

y°=(7/12)=0,58(3)

Applying the cosine ratio, CAH, the size of angle XYZ, to 1 decimal place is calculated as: 54.3°.

To solve a right triangle by relating the adjacent side to the hypotenuse, the cosine ratio is applied, which is: cos ∅ = adjacent/hypotenuse.

Given the parameters:

Apply the cosine ratio:

Cos (XYZ) = 7/12

Angle XYZ = cos^(-1)(7/12)

Angle XYZ = 54.3°

Learn more about the cosine ratio on:

https://brainly.com/question/15793827

#SPJ5

Answer:

$23

Step-by-step explanation:

let j be jacob"s money

Then angie is 3j, and Erin is 3j+35 so 7I

=161

j=23

Answer: Erin - $104; Angie - $69; Jacob - $23.

(please give me brainlest ❤️)

Step-by-step explanation:

JACOB has least amount of money, so let's say that he has :

x amount of money

ANGIE has 3 times more than jacob:

Angie has 3x

ERIN has $35 more money than Angie:

3x+35

their money together is $196, that means if we add all of their money, it will be equivalent of 196:

3x+35+3x+x=196

now lets find x value.

put all the xes on right side and all known numbers on left side.

i think u know that when it goes to another side it changes sign; for example - makes + and × makes /

3x+35+3x+x=196

7x=161

x=161/7

x=23

now plug x values for each kid:

so Jacob had x=23

Angie had 3x=3×23=69

and Erin had 3x+35=69+35= 104

lets check our answer:

23+69+104=196

196=196

so sum of their money really gives us $196.

Answer:

r = 4

Step-by-step explanation:

17 = 9 + 2r   subtract both sides by 9

8 = 2r          divide both sides by 2

4 = r

Answer:

r=4

Step-by-step explanation:

You have to get r on one side so you subtract nine on both sides to get rid of it so 8=2r

then you divide 2 m both sides and r=4

Answer:

A!!!!

Step-by-step explanation:

Answer:

Vertical stretch across the y-axis, reflection across the x-axis, horizontal shift 2 units to the left, and vertical shift 1 unit down

Answer: 1 1/2

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

-12+6=-6

-6/-2=3

Answer:

Step-by-step explanation:

v=Q-P

v=(5,1,0)

u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)

u=(5/5.09,1/5.09,0)

v=Q-P

v=(1,1,0)

u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)

u=(1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex],0)

Answer:

Option b

Step-by-step explanation:

According to the property of rhombus at Centre it have 90°

So,

[tex](5x - 10) {}^{o} = 90 {}^{o} [/tex]

[tex]5x = 90 + 10[/tex]

[tex]5x = 100[/tex]

[tex]x = \frac{100}{5} [/tex]

[tex]x = 20[/tex]

Hope this helps u ^_^

Answer:

63/x

63 divided by x

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

1+!3245

Answer:

Step-by-step explanation:

Given that they give us how many seats are in the last row we know that each row contains 56 seats and we have 46 rows. If you multiply 56 by 46 you get 2,576. If a seat is added to each row there are 46 seats you must add to 2,576. This will make your answer 2,622

Answer:

X = 10

Step-by-step explanation:

According to the property of parallelogram

We know that, sum of angles at a same line is

180°

[tex]35 + (14x + 5) = 180[/tex]

[tex]40 + 14x = 180[/tex]

[tex]14x = 140[/tex]

[tex]x = \frac{140}{14} [/tex]

[tex]x = 10[/tex]

Hope this helps u... ^_^❤️

Answer:

240

Step-by-step explain

so

k = 2640/11 = 240

2640/240 = 11

Answer: It would take the turtle a total of 4 hours to swim 10 kilometers

Step-by-step explanation:

3 × 10 = 30

30 ÷ 7.5 = 4

Answer:

A ticket would be $270 in 2007

Answer:

Step-by-step explanation:

-4 - ( -7 ) = 3

Hope this helps! <3

Answer:

3

Step-by-step explanation:

I know it may seem confusing that two negative numbers can become a positive number but it is correct! When doing this equation, the -7 becomes positive so you just have to do -4+7. Which equals 3! It's a really simple question but don't be afraid to ask for more help if you don't understand it still<3

Answer:

omg this is so eaasy like u need tia tammera

Step-by-step explanation:

Answer:

$33(the answer is $33)

Answer:

1. coordinate plane, 2. counting principle, 3. constant of variation, 4. compound event, 5. dependent events

Answer:

B

Step-by-step explanation:

This is a straight line which the interior and exterior angle, so they both must add up to 180 degrees.

180 - 60 = 120

120 = 4x + 20

100 = 4x

25 = x

Answer: Hello! My guess would be 7. Sorry, if I'm wrong.

Step-by-step explanation: Count the jumps between A and C.

Answer:2869

I kno :)

the bottom one is x2 ....