Samantha is solving the following system of equations using the method of substitution: 3x + 2y = 11 - x + y = 3 The following are Samantha's first two steps. y= x + 3 3x + 2(x+3) =11 HINT: Solve the bottom equation for x and then plug that value back into the first equation to solve for y. Arrange the steps below to match the order you used to do this.

Place each of the remaining steps in the appropriate order to finish solving the system of equations.

1 5x =5
2 (1,4)
3 y=4
4 x=1
5 3x + 2x + 6 = 11
6 5x + 6 = 11
7 y= 1 + 3

Which ordered pair is the solution to the system of linear equations displayed on the graph below?

HINT: The solution is the point where the two lines intersect. What is the x coordinate and y coordinate at that point of intersection?

A:[tex](0,-\frac{3}{2} )[/tex]
B:[tex](-\frac{3}{2},0)[/tex]
C:[tex](0,\frac{3}{2}[/tex]

Which of the following inequalities can be represented by the graph below?

HINT: Can you find the equation for the boundary line? What is its y-intercept? What is its slope? Note that the region above the line is shaded.

A:[tex]y\geq2x-2[/tex]
B:[tex]y\geq \frac{1}{2}x-2[/tex]
C:[tex]y\geq \frac{1}{2}x +2[/tex]

Samantha Is Solving The Following System Of Equations Using The Method Of Substitution: 3x + 2y = 11
Samantha Is Solving The Following System Of Equations Using The Method Of Substitution: 3x + 2y = 11

Answers

Answer 1

Answer:

According to the numbers provided, the sequence is:

5, 6, 1, 4, 7, 3, 2

Solution of the two lines intersecting in the graph is answer B

The inequality that represents the graph is that of answer A

Step-by-step explanation:

First problem:

This is the sequence to solve for "x" once the substitution was made;

[tex]3x +2\,(x+3)=11\\3x+2x+6=11\\5x+6=11\\5x=11-6\\5x=5\\x=1\\[/tex]

Now that we know x, we use its value (1) in the substitution equation in order to find "y" and complete the ordered pair:

[tex]y=x+3\\y=1+3\\y=4[/tex]

Then the solution pair (x, y) is: (1, 4)

Therefore, according to the numbers provided in the list of possible steps, the order is:

5, 6, 1, 4, 7, 3, 2

Second problem:

The solution to the system is where the two lines two lines intersect: "the point -1.5 on the x axis. Notice that -1.5 can be written in fraction form as -3/2, this is the x-coordinate of the intersection point. The y-coordinate is y-0 since the point is on the x-axis. Therefore the point is (-3/2, 0) which is given by answer B).

Third problem: The boundary line seems to go through the points: (-4, -10) and (0, -2), so we can calculate the slope via the equation:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{-2-(-10)}{0-(-4)}\\slope=\frac{8}{4}\\slope=2[/tex]

since the line's y-intercept is (0, -2), then the equation of the boundary line in slope-intercept is:

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

Since the shaded region includes the boundary line and the zone above it (with y-values larger than or equal to those point in the line), we can say that the inequality that represents this graph is:

[tex]y\geq 2x-2[/tex]

which corresponds to answer A

Answer 2

Answer: A

Step-by-step explanation: use the formula


Related Questions

Please answer this ASAP need it fast.

Answers

Answer:

Step-by-step explanation:

[tex]-\frac{2}{3}a+\frac{5}{6}a-\frac{1}{6}[/tex]

Like term are       [tex]-\frac{2}{3}a+\frac{5}{6}a[/tex], LCD of 3 ,6 = 6

[tex]\frac{-2*2}{3*2}a+\frac{5}{6}a-\frac{1}{6}=\frac{-4}{6}a+\frac{5}{6}a-\frac{1}{6}\\\\=\frac{(-4+5)}{6}a-\frac{1}{6}\\\\=\frac{1}{6}a-\frac{1}{6}\\[/tex]

148 + 2x = 180, What is x equal to?
180
148
28
18

Answers

So X equals 16

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

[tex]148 + 2x = 180 \\ 2x = 180 - 148 \\ 2x = 32 \\ \frac{2x}{2} = \frac{32}{2} \\ x = 16[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Factor completely. 81x4 - 1

Answers

Answer:

323

Step-by-step explanation:

Answer: 3x - 6^4

Step-by-step explanation:

I got the answer right

What is the following quotient?
2- √8
4+ 12​

Answers

Answer:

C                   69 gooba

Step-by-step explanation:

In the diagram, what is the measure of ZWRS?
Z

(5x)"
R
075
(25x + 30)
0 25°
w
0 37.59
s

Answers

Answer:

WRS=25 degree

Step-by-step explanation:

Angle VRT + angle TRS = 180 degree (supplementary angles)

5x+25x+30=180

5x+25x=180-30

30x=150

x=150/30=5

Substituting x=5 into angle VRT

5(5)=25

VRT= 25 degree

Looking at the diagram, angle VRT and angle WRS are vertically opposite angle and are therefore equal.

Now, angle WRS= 25 degree

The measure of the angle of intersecting lines ∠WRS = 25°

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the two intersecting lines be a and b

where the measure of ∠SRT = ( 25x + 30 )°

The measure of angle ∠VRT = ( 5x )°

And , the measure of ∠VRT = measure of ∠WRS ( Opposite angles are congruent )

And , the measure of ∠VRT + measure of ∠SRT = 180° ( angles in straight line )

So , 5x + 25x + 30 = 180

30x = 150°

Divide by 30 on both sides , we get

x = 5

Now , the measure of ∠WRS = [ 5 ( 5 ) ] °

Hence , the measure of angle ∠WRS = 25°

To learn more about angles formed by intersecting lines click :

https://brainly.com/question/16315358

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The graph shows the total number of inches of snow after different numbers of hours.

Which equation can be used to find the total number of inches of snow, y, after x hours?
A. y = 1.5x
B. y = 2x
C. y = 3x
D. y = 4.5x

Answers

Answer:

A, is the answer.

Step-by-step explanation:

If you take two points and then find the slope between them you'll find that it is 1.5.

You could also make a T-chart or plug in the x coordinates into each possible equation and see which one matches the corresponding y coordinate.

Answer:

A

Step-by-step explanation:

z= -91 +14.6i


is the real part of z?


What is the imaginary part of z?

Answers

Answer:

- 91 and 14.6

Step-by-step explanation:

Given a complex number z = a + bi

Then a is the real part and b the imaginary part

Given

z = - 91 + 14.6i , then

- 91 is the real part and 14.6 the imaginary part

What is the insurance premium for a 42-year old nonsmoking female ($6.75) who wants $125,000 in coverage?


a. $33.75


b. $41.50


c. $58.25


d. $60.00

Answers

Answer:

The question is missing the sample life insurance premium illustration  as found in the attached.

The correct option based on the below calculation is A,$33.75

Step-by-step explanation:

A female non-smoker  who wanted a coverage of $25,000 as found in attached the sample life insurance premium illustration would pay $6.75 in premium.

Based on the above, a female non-smoker who wanted a coverage of $125,000 has it premium computed thus:

premium=$125,000/$25,000*$6.75

premium=5*$6.75=$33.75

The correct option is A,$33.75

Answer:

The insurance premium for a 42-year old nonsmoking female who wants $125,000 in coverage is $33.75. The right answer is a.

Step-by-step explanation:

In order to calculate the insurance premium for a 42-year old nonsmoking female who wants $125,000 in coverage we would have to use the following formula:

insurance premium= (coverage amount/monthly premiun amount)*$6.75

Therefore, insurance premium= ($125,000/$25,000)×$6.75

insurance premium= $33.75

The insurance premium for a 42-year old nonsmoking female who wants $125,000 in coverage is $33.75

In a box of eight donuts, two have pink sprinkles. Express the percent of the donuts in the box that have pink sprinkles

Answers

Answer:

25%

Step-by-step explanation:

2 donuts are 1/4 of all of the donuts so that is 25%

PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!

Answers

Answer:

The first one.  -4<=x<2

Step-by-step explanation:

PLEASE HELP ASAP!! I will give brainliest!!!!And 25 points!!!!

Help a girl out please and thank you.

Answers

Answer:

Step-by-step explanation:

As all are similar polygons , corresponding sides will be in proportion.

[tex]1)\frac{9}{12} =\frac{3}{4}\\\\[/tex]

Scale factor = 3 : 4

[tex]2)\frac{12}{15}=\frac{4}{5}\\\\[/tex]

Scale factor = 4 : 5

[tex]3) \frac{10}{25}=\frac{2}{5}\\[/tex]

Scale factor = 2:5

4)

[tex]\frac{8}{16}=\frac{1}{2}[/tex]

Scale factor = 1 : 2

How to find the volume of a composite solid

Answers

Answer:To find the volume of a composite solid, u identify the different parts it is made of, work out the volume of each part independently, and sum up the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle? The triangle is a right triangle because 52 + 122 = 132. The triangle is a right triangle because 5 + 13 > 12. The triangle is not a right triangle because 52 + 132 > 122. The triangle is not a right triangle because 5 + 12 > 13.

Answers

Answer:

The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.

Step-by-step explanation:

5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.

25 + 144 = 169.

13 ^ 2 = 169.

Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.

Given:

Sides of triangle= 5cm, 13cm and 12cm

To find: Whether a triangle is a right angled triangle.

This can be solved by applying Pythagorean theorem:

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

[tex]H^2=P^2+B^2[/tex]

where,

H= Hypotenuse

P= Perpendicular

B=Base

Applying given values in the formula:

[tex]H^2=P^2+B^2\\\\13^2=5^2+12^2\\\\169=25+144\\\\169=169[/tex]

Since, R.H.S= L.H.S

Thus, we can say that this triangle is a right angled triangle.

Learn more:

brainly.com/question/343682

WILL MARK BRAINLEIST
By what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%?

Answers

Answer:

decrease by 50%

Step-by-step explanation:

[tex]\frac{0.4x}{0.8y} =\frac{x}{2y}[/tex]      

Decreased by 60% = (100%-60%)x = 0.4x.

Decreased by 20% = (100%-20%)x = 0.8x.

[tex]\frac{x}{y}[/tex] initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.

A group of 140 high school students were asked, "Do you play a musical instrument?" The results are shown in the table below. If a musician is selected at random, what is the probability that the individual is a female student?



Males - only 24 play instruments and 41 don't
Females - only 43 play instruments and 32 don't


A. 43/140

B. 43/67

C. 43/75

D. 15/28

Answers

ANSWER:

A

Step -by -step verification:

Total number of female students that play instruments

Total number of students =43/140

If a musician is selected at random, the probability that the individual is a female student is; 15/28

How to Find the Probability?

We are given;

Total Number of High school students surveyed = 140

Number of males that play instruments = 24

Number of males that don't play instruments = 41

Number of females that play instruments = 43

Number of females that don't play instruments = 32

Thus, If a musician is selected at random, the probability that the individual is a female student is;

P(Female Student) = (43 + 32)/140 = 75/140 = 15/28

Read more about probability at; https://brainly.com/question/251701

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plz help asap ill give u 5 stars and mark u brainliest

Answers

Answer:

262.5

Step-by-step explanation:

1. do cross multiplication

2nd ans is 360 20x18 or just add 20 18 times

Answer:

262.5

Step-by-step explanation:

A cup chocolate chips weigh about 9 ounces. A recipe calls for 3 3/4 cups of chocolate chips. About how many ounces of chocolate chips are needed?
Hurry Due Today

Answers

Answer:

A cup chocolate chips weighs about 9 ounces.

=> 3 cups of chocolate chips weigh about 9 x 3 = 27 ounces.

=> 3/4 cup of chocolate chips weigh about 9 x 3/4 = 27/4 = 6.75 ounces.

=> 3 and 3/4 cups of chocolate chips weigh about 27 + 6.75 = 33.75 ounces.

Hope this helps!

:)

Answer: 77 + (3 x 4) - (27+56782) +23459 x 21=92,784,273

Step-by-step explanation: hope that solves the problem you are looking for. you are welcome. hope that you get smarter because of me.

A right triangle has legs measuring 18 in. and 26 in.

What is the length of the hypotenuse?

Round to the nearest tenth.


(A) 18.8 in.

(B) 31.6 in.

(C) 44.0 in.

(D) 100.0 in.

Answers

Answer: B. 31.6 inches

Step-by-step explanation:

You will have to use pythagorean theorem

18^2+26^2=x^2

324+676=1000

Then sqaure root of 1000 is 31.623.

Nina skated for 2 hour 14 mins she stopped at 8:24 what time did she start skating

Answers

Answer:

6:10

Step-by-step explanation:

To solve this problem, find the time 2 hours and 14 minutes before 8:24.

2 hours before 8:24 is 6:24.

14 minutes before 6:24 is 6:10.

Therefore, Nina started skating at 6:10.

Answer:

6:10

Step-by-step explanation:

Cuz if you do 8:24 - 2:24 you get 6:10

9. Fill in the table below with the correct slopes:
If a line has a slope of
What is the parallel line slope? What is the perpendicular line
slope?
6
3
2

Answers

Answer:

-1/6 for the number 6 and 2/3 for -3/2

Step-by-step explanation:

You have to do the reciprocal, or just swap the numerator and denominator. but if the parallel is positive the reciprocal becomes a negative. If the parallel is negative, then the reciprocal is positive.

Glad I could help!

The following data points represent the number of emails that the CEO of Rock Town Apparel sent each day since he started using a new email client. 6,59,55,106,84,86,96. use the data to create a histogram

Answers

Answer:

Frequency density is found when we divide the class width being the days of the week = 7    So that when we see 6 emails its divided by 7 =  6/7 0.857142857 as density     59/7 = 8.42857143 and 55/7 =7.85714286  and 106/7 = 15.1428571   and 84/7 = 12  and 86/7 = 12.285714  and 96/7 =13.7142857   this shows us we need to draw 16 bars up and 7 bars across - The bars across (x line) can be days of the week and the bars going up (y line) an be number of emails if 16 is ore than 106/7  then  16 squares > 106/7 then 15 < 106/7  So we ensure its a proportion of 15.143 and not more than that-   and not less than 15.142  for day 4 = 106 emails

joe paid 14.00 for a board game. this is 70% of the original price. what is the original price

Answers

Answer:

Hello There the Correct answer is 20% start off by finding 10% of $14. in order to find 10%, divide it by 70 which gives 2. you now need to make the 30% to add to the 70%, by timesing the 2 by 3to give 6. now all you need to do it add the 6 to 14 to make 20!

so your answer is $20

Hope it helps!

From ItsNobody

Answer:

Joe paid 14.00 for a board game.

This is 70% of the original price X (70/100 of original price).

We have the ratio: 14/X = 70/100

=> The original price: X = 14 x 100/70 = 20

Hope this helps!

:)

What is the volume of the right rectangular prism with a length of 18 inches, a width of 4 inches, and a height of 10 inches?
32 in
64 in.
720 in
1,440 in​

Answers

720 in

Solution: 18 x 4 x 10

Answer:

720 inches cubed

hope this helps <3

A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?

Answers

Answer:

Adult tickets cost $11 and child tickets cost $13

Step-by-step explanation:

Multiply the second equation by -2, then add the equations together.

(8a+9c=205)

−2(4a+3c=83)

Becomes:

8a+9c=205

−8a−6c=−166

Add these equations to eliminate a:

3c = 39

Then solve3c=39for c:

3c=39

[tex]\frac{3c}{3}[/tex] = [tex]\frac{39}{3}[/tex]

(Divide both sides by 3)

c = 13

Now that we've found c let's plug it back in to solve for a.

Write down an original equation:

8a+9c=205

Substitute 13 for c in 8a+9c=205:

8a+(9)(13)=205

8a+117=205 (Simplify both sides of the equation)

8a+117+−117=205+−117 (Add -117 to both sides)

8a=88

[tex]\frac{8a}{8}[/tex] = [tex]\frac{88}{8}[/tex]

(Divide both sides by 8)

a = 11

Solve 8 = 2x + 4.
X = -4
X=-1
x = 0
X=7

Answers

Answer:

x = -1

Step-by-step explanation:

Write it in exponential form, 2^3 = 2^x+4

Since base is the same, Set the exponents equal, 3 = x + 4

Move the terms, variable goes to the left side and change the sign -x + 3 = 4

Subtract and calculate, -x = 1

Change the signs on both sides, x = -1

Answer:

x=-1

Step-by-step explanation:

i took the test

I need help again (shock)

Answers

Answer:

Interior alternate

Step-by-step explanation:

They’re on the inside but opposite form each other

Answer:

Interior alternate

Step-by-step explanation:

What is the area of a circle with a radius of 6 in.? Use 3.14 for the value of
pi,

Answers

Answer:

113.04

Hope this helps!

Answer:

113.04

Step-by-step explanation:

So in order to get area you gotta do R times R times Pie

So then,

You do 6 times 6,

and get 36,

Then you times 36 by 3.14 estimated,

Which gets you 113.04

Can someone please help me with this⁉️ the math question is in the picture and I’m so confused.

Answers

Answer:i think it’s a=az(b)

Step-by-step explanation:

Do toy have a triangle with a 3 angles:60 degrees, 60 degrees, 63 degrees

Answers

Answer:

no.

Step-by-step explanation:

a triangle can only have 180° in total but

60+60+63

=183°

Therefore a triangle can not have these three angles together.

Can someone help me with these

Answers

Answer:

1) b=2 [tex]\sqrt{2}[/tex]  a= 8  2) x=y=  2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

1) since the triangle is isosceles, b=2[tex]\sqrt{2}[/tex] and a= 2[tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex] which is 8

2) x and y equal eachother and is 4/[tex]\sqrt{2}[/tex] which is 2[tex]\sqrt{2}[/tex]

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