Which substitution method should be the best used to solve which system of equations

Answer:

peter = $54

jane = $36

Step-by-step explanation:

let peter = x

let jane = y

peter + jane = $90

x+y = 90 --------- (1)

peter gave jane $16 = x-16

jane gets extra $16 from peter = y+16

peter would have $14 less than jane

jane - peter = $14

(y+16)-(x-16) = 14

y+16-x+16 = 14

y-x+32 = 14

y-x = 14-32

y-x = -18 ---------- (2)

x+y = 90 --------- (1)

y-x = -18 --------- (2)

from (1)

x+y = 90

y = 90-x --------- (3)

substitute (3) into (2)

y-x = -18

90-x-x = -18

90-2x = -18

-2x = -18-90

-2x = -108

x = 54

substitute x = 54 into (3)

y = 90-x

y = 90-54

y = 36

x = peter = $54

y = jane = $36

Answer:

11+6 17 weaks cuz 7x11=77 and 42=7x6=77+42=119

Answer:

answer would be 1:2

Step-by-step explanation:

you have to find the greatest common divisor of 5 and 10 and you divide 5 and 10 by the greatest common divisor.

The greatest common divisor that you can apply for 5:10 is 5 which means the answer to the ratio of 5:10 is:

1:2

in step 2 he made his first mistake

1/2(n-4)-3=3-(2n+3)

1/2n-4/2-3=3-(2n+3)

1/2n-2-3=3-(2n+3)

in the second step he put 5 instead of 2.

Answer:

y = 4x + 8

Step-by-step explanation:

Plug x = -1 into each of the equations, and see which one results in y = 4.

The first equation will be the only correct answer.

y = 4x + 8

y = -4 + 8

y = 4

Answer:

[tex]y=4x+8[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Here's what the variables mean:

[tex]y[/tex] = the y-coordinate

[tex]m[/tex] = the slope of the line

[tex]x[/tex] = the x-coordinate

[tex]b[/tex] = the y-intercept (the value of y where the line crosses the y-axis)

Because the slope of the line is 4, we can plug that into our equation as [tex]m[/tex]:

[tex]y=4x+b[/tex]

Now, all we have to do is solve for [tex]b[/tex], the y-intercept. We can do this by plugging the point (-1, 4) into the equation as [tex]x[/tex] and [tex]y[/tex].

[tex]4=4(-1)+b[/tex]

Solve the equation

[tex]4=4(-1)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate [tex]b[/tex]

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, [tex]b[/tex], or the y-intercept, is equal to 8.

Now, when we plug the y-intercept into our equation, we get:

[tex]y=4x+8[/tex]

I hope this helps!

Answer: The answer is 50 :)

Step-by-step explanation:

Answer:

7040 Yards

Step-by-step explanation:

First, you have to divide 5280 by 3, to get 1760 yards

Then you have to multiply 1760 by 4

Finally, you should get the answer of 7040 yards :D

Answer:

The other person who answered it already explained it but the answer is 7,040

Step-by-step explanation:

Answer:

this is the answer

Step-by-step explanation:

1125=11×425×4=44100=0.44

Answer:

The slope is 3/2

Step-by-step explanation:

(x1,y1)=(12,16)

(x2,y2)=(34,49)

m= y2−y1 /x2−x1

49−16 /34−12

33 /22

3 /2

Answer:

-3/2

Step-by-step explanation:

y1-y2 / x1-x2

16- 49/12-34

33/22 or -3/2

I hope this helped, Have a Wonderful Day!!

Answer:

X = 44°

Step-by-step explanation:

The angle other than 68°and and x is also 68° because its a isosceles triangle.

so 68° + 68° + x = 180° (angle sum property)

136° + x = 180°

x = 180 - 136

= 44°

hope this helps.

Answer:

44

Step-by-step explanation:

two lines are similar so there angel are the Same

Answer:

The correct answer is: Option D: 8

Step-by-step explanation:

Given that she spent $208 on the sewing machines

And

the equation for profits to break even is:

208 + 10x = 36x

In order to find the number of purses to break even, we have to find the value of x

So,

[tex]208+10x=36x[/tex]

Subtracting 10x from both sides

[tex]208+10x-10x = 36x-10x\\208 = 26x[/tex]

Dividing both sides by 26

[tex]\frac{208}{26} = \frac{26x}{26}\\x = 8[/tex]

The number of purses is 8

Hence,

The correct answer is: Option D: 8

Answer:

D is correct.

Step-by-step explanation:

Answer:

A: 1min 12sec B: 1 lap C: 25min and 12 sec

Step-by-step explanation:

A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec

B: 1 lap

C: 25 minutes and 12sec

Answer:

sas

Step-by-step explanation:

Answer:15.62 units

Step-by-step explanation:

just the two legs squared = diagonal squared, so then square root the diagonal so u get a real number

Answer:

because if u divied it it is dum as

Step-by-step explanation:

Step-by-step explanation:

Angle ADB = Angle CBD = 90° (given)

Side AB = Side DC (given)

Common side DB / BD

By HL congruence, triangles ABD and CDB are congruent.

Therefore Angle ABD = Angle CDB

=> Line AB is parallel to Line DC (Z angles)

Answer:

Use the following for questions 9-11: In dogs, there is an hereditary deafness caused by a recessive gene, "d." A kennel owner has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can hear. ... This can be tested by breeding the dog to a deaf female (dd).

Step-by-step explanation:

hope it worked

Answer:

3/4 of a 6-ounce glass

Step-by-step explanation:

Given time = 2/3 of hour

As hour = 60 min

= 120/3

= 40 mins

So,

40 mins: water in take is 3 ounce

1 minute: water in take is 3/40

60 mins: water in take is (3/40) x 60 = 4.5 ounce

Answer:

No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.

Example:

the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.

10 + 79 + 42 + 88 + 19 + 50 = 288

288 ÷ 6 = 48

Answer:20

Step-by-step explanation:

Answer:

The opposite sides are "parallel and congruent". The opposite angles are congruent. The consecutive angles are supplementary. If anyone of the angles is a right angle, then all the other angles will be the right angle.

Step-by-step explanation:

Answer:

mean is 82, Median is 84, mode is 81  

Step-by-step explanation:

The mean of the given data set is 82, median is 84 and mode is 81.

The given data set is 81, 87 93, 89, 61, 81.

The median is the value that's exactly in the middle of a dataset when it is ordered.

Now, the ordered pair is 61, 81, 81, 87, 89, 93.

Median = (81+87)/2

=168/2

=84

Mean = Sum of all the observations/Number of observations

= (61 + 81 + 81 + 87 + 89 + 93)/6

= 492/6

= 82

Mode = The mode is the value that appears most frequently in a data set.

Here, 81 is the most frequently in the given data set.

Therefore, the mean of the given data set is 82, median is 84 and mode is 81.

To learn more about the arithmetic mean visit:

https://brainly.com/question/23706022.

#SPJ5

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)

Answer:

C

Step-by-step explanation:

The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

I hope this helps!

Further explanation:

For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.

Side note:

The rest of the choices describe an incenter.

Answer:

true

Step-by-step explanation:

u are right

Answer:

True

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = -2; b = -5

Then your linear equation will be:

y = -2x -5

Answer:

Marcos reads 3 books

Step-by-step explanation:

The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.

Answer:

[tex]x=38[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\\angle KLO=134\\\angle OMN= 84\\Hence\ we\ observe\ that,\\\angle KLO\ and\ \angle OLM\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle KLO\ + \angle OLM=180\\Substituting\ \angle KLO=134,\\134+\angle OLM=180\\\angle OLM=180-134\\\angle OLM=46\\Similarly,[/tex]

[tex]\angle OMN\ and\ \angle OML\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle OMN\ + \angle OML=180\\Substituting\ \angle OMN=84,\\84+\angle OLM=180\\\angle OLM=180-84\\\angle OLM=96\\[/tex]

[tex]Now\ lets\ consider\ \triangle OML,\\\angle OLM + \angle OML+ \angle LOM=180 [Angle\ Sum\ Property\ Of\ a\ triangle]\\Hence\ substituting\ \angle OLM=46, \angle OML=96, \angle LOM=x\\46+96+x=180\\142+x=180\\x=180-142\\x=38[/tex]