The length of a rectangle exceeds the width by 2 cm . If the diagonal is 10 cm long , find the width of the rectangle .

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Answer:

y=2x-11

Step-by-step explanation:

-1=2(5)+b

-1=10+b

-11=b

Answer:

36 bowls of cereal.

Step-by-step explanation:

just multiply 12 by 3

Answer:

WHY BRO EAT SO MUCH CEREAL IM DEAAAAAADDD

Step-by-step explanation:

nkjenkjfaekjvbsajkbvjks kjan

Answer:

15, 30, 45, 60, and 75

Step-by-step explanation:

15x1

15x2

15x3

15x4

15x5

I hope this helps you

Answer:2.25

Step-by-step explanation:it just is

Answer:

2.94

Step-by-step explanation:

the clue is in the question, just times the numbers together

Answer:

is it not the plus sign? (+)

Step-by-step explanation:

Answer:

group 18

Step-by-step explanation:

Answer:

Answer. 18

Step-by-step explanation:

took test

Answer:

Step-by-step explanation:

lets eliminate the parenthesis,

-2x-2=2x-2

-4x=0

x=0

y=mx+b

1st one:

m=-3 b=-2

Not sure for proportional

Negative Slope

2nd one:

m=15 b=0

Proportional

Positive Slope

3rd one:

m=-4/3 b=8

Not sure proportional or not

Negative Slope

Answer:

Work shown below!

Step-by-step explanation:

y = -3x - 2

m = -3

b = -2

Non-proportional because it doesn't pass through the origin

Negative Slope

y = 15x

m = 15

b = 0

Proportional because it passes through the origin

Positive Slope

y = -4/3x + 8

m = -4/3

b = 8

Non-proportional because it doesn't pass through the origin

Negative Slope

Answer:

The answer is"statement is true".

Step-by-step explanation:

Yeah, they may claim that it is possible, that 95% of the population would vote for Imm Thai as the best Barkeley Thai restaurant as well as the probability that such an interval will include the proportion of the trust interval of Imm Thai outside is 5% which would be \alpha 5%

Answer:

my names emily too!!!!

Step-by-step explanation:

Step-by-step explanation:

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

Given

first term a1 = -2

second term a2 = 2

We are to get the first 8 terms. Given the sequence

a[n]=a[n-2](3-a[n-1])

a[3]=a[3-2](3-a[3-1])

a[3]=a[1](3-a[2])

a[3]=-2(3-2)

a3 = -2

a[n]=a[n-2](3-a[n-1])

a[4]=a[4-2](3-a[4-1])

a[4]=a[2](3-a[3])

a[4]=2(3+2)

a4= 10

a[5]=a[n-2](3-a[n-1])

a[5]=a[5-2](3-a[5-1])

a[5]=a[3](3-a[4])

a[5]=-3(3-10)

a5 = -3(-7)

a5 = 21

a[6]=a[n-2](3-a[n-1])

a[6]=a[6-2](3-a[6-1])

a[6]=a[4](3-a[5])

a[6]= 10(3-21)

a6 = 10(-18)

a6 = -180

a[n]=a[n-2](3-a[n-1])

a[7]=a[7-2](3-a[7-1])

a[7]=a[5](3-a[6])

a[7]= 21(3+180)

a7 = 21(183)

a7 = 3,843

a[8]=a[n-2](3-a[n-1])

a[8]=a[8-2](3-a[8-1])

a[8]=a[6](3-a[7])

a[8]=-180(3-3843)

a8 = -180(-3840)

a8 = 691,200

The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.

Given :

Belle's dad lends her $10. Then Belle borrows another $15 from him.

The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:

Step 1 - Let the total amount of money Belle's dad have be 'x'.

Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:

= x - 10b

Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:

= x - 10 - 15

Step 4 - Simplify the above expression.

= x - 25

So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).

For more information, refer to the link given below:

https://brainly.com/question/13101306

Answer:

she makes 22 cookies batches

Step-by-step explanation:

22*3=7 2/3

7 2/3 / 3 = 22

Answer:

Easy b

Step-by-step explanation:

Because

Answer:

17.6 miles

Step-by-step explanation:

speed = distance/time

distance = speed * time

We multiply the speed of each one by the time, 1 hour, to find the distance each one walked in 1 hour.

Kiran: 3 mph * 1 h = 3 miles

Clare: 3.4 mph * 1 h = 3.4 miles

The total distance they walked is 3 miles + 3.4 miles = 6.4 miles.

After 1 hour, they are 6.4 miles closer than they were at the beginning of the walk.

24 miles - 6.4 miles = 17.6 miles

Answer: 17.6 miles

Answer:

10

Step-by-step explanation:

if its originally y=14 and x=5, if u switch y to 28 it would be 2x as much as 14 so u would multiply 5x2 aswell. hope i helped!!

Answer:

B

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

Two lines are parallel. So, alternate interior angles are congruent.

x +8 + 6x - 58 = 90

7x - 50 = 90

        7x = 90 +50

       7x = 140

         x = 140/7

x = 20

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

[tex]z=\frac{100000-72641}{30000}=0.91[/tex]

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

[tex]z=\frac{100000-72641}{30000/\sqrt{5} }=2.04[/tex]

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

[tex]z=\frac{100000-72641}{30000/\sqrt{10} }=2.88[/tex]

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

Answer:

hm okay

Step-by-step explanation:

Answer:

Step-by-step explanation:

question one: his mom will pay $2.1 in taxes

thats all i can answer

Answer:

first you correct like terns

Answer:

Well thank you so much you too

Step-by-step explanation:

Answer:

u too homie!

Step-by-step explanation:

i want free points

Step-by-step explanation:

2x-8<12

+8<+8

2x<20

[tex] \frac{2x}{2} \frac{20}{2} [/tex]

x<10

Answer:

34

Step-by-step explanation:

Answer:

34 questions

Step-by-step explanation:

c is the number of correct answers

if this is wrong just tell me and I'll redo it

Hope this helps