Two systems of equations are shown. The first equation in system B is the original equation in system A. The second equation in system B is the sum of that equation and a multiple of the second equation in system A.

Answers

Answer 1

Answer:

[tex]x = 3.875[/tex]

[tex]y = 2.375[/tex]

Step-by-step explanation:

See comment for complete question.

Given

A.

[tex]x + 3y = 11 => x + 3y = 11[/tex]

[tex]5x - y = 17 => 15x - 3y = 51[/tex]

[tex]16x = 62[/tex]

B.

[tex]x + 3y = 11[/tex]

[tex]16x = 62[/tex]

Required

Determine the values of x and y

The first equation in B is:

[tex]x + 3y = 11[/tex]

In (a): 5x - y = 17 is multiplied by 3, then added to x + 3y = 11.

So, the second equation is:

[tex]5x - y = 17[/tex]

Solving (a) & (b):

[tex]x + 3y = 11[/tex]  --- (1)

[tex]5x - y = 17[/tex] ---- (2)

Make x the subject in (1)

[tex]x + 3y = 11[/tex]

[tex]x = 11 - 3y[/tex]

Substitute [tex]11 - 3y[/tex] for x in [tex]5x - y = 17[/tex]

[tex]5(11 - 3y) - y = 17[/tex]

Open bracket

[tex]55 - 15y - y = 17[/tex]

[tex]55 - 16y = 17[/tex]

Collect Like Terms

[tex]- 16y = 17-55[/tex]

[tex]- 16y = -38[/tex]

Solve for y

[tex]y = \frac{-38}{-16}[/tex]

[tex]y = \frac{38}{16}[/tex]

[tex]y = 2.375[/tex]

Substitute 2.375 for y in [tex]x = 11 - 3y[/tex]

[tex]x = 11 - 3 * 2.375[/tex]

[tex]x = 11 - 7.125[/tex]

[tex]x = 3.875[/tex]

Answer 2

Answer:

(4,3)

Step-by-step explanation:

I took the test.


Related Questions

help me for brainlist please amelias

Answers

Answer:

b. V = 336 ft³

Step-by-step explanation:

[tex]V = \frac{1}{2}bhl\\b = 14\\h = 8\\l = 6\\V = \frac{1}{2}(14)(8)(6)\\V = 336 ft^{3}[/tex]

HELP URGENTLY NEEDED STUCK ON THIS FOR 2 DAYS!!!!! LOTS OF POINTS FOR PERSON WHO HELPS!!!

Jada is three years older than twice her brother’s age. Select all the equations that correctly represent the relationship between Jada’s age j and her brother’s age b.

Multiple select question.

A) j=2b+3


B) j=2(b+3)


C) j=b2−3


D) b=2j+3


E) b=j−32


F) b=j2−3

Answers

Answer:

A

Step-by-step explanation:

2b meaning two times the age then add three like the question says.

If you get the answer just give me the full answer please. No matter the length.

Answers

Answer:

CD = 4

Step-by-step explanation:

I believe you know the geometric mean for altitudes?

CD = √AD * DB = √8 * 2 = √16 = 4

If you are not aware of this theorem, then use the similarity of triangles.

ADC ~ CDB

AD/DC = CD/DB (cross-multiply)

CD^2 = AD*DB,

CD = √AD * DB = √8 * 2 = √16 = 4

Complete the square to find the missing term c.
x^2 – 12x + c

Answers

The missing term would be 36

When 12 is multiplied by a number , the result is 72 which equation fits the statement ? X/12-72 12x=72 12+x=72 12/x=72

Answers

Answer:wef

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Write the equation of the line in slope-intercept form.




The equation of the line in slope-intercept form is

Answers

Answer:

y = -4/3 x + 2

Step-by-step explanation:

Let us assume the equation given is 3y + 4x = 6

The standard form in slope-intercept form is y = mx+c

m is the slope

c is the intercept

Make y the subject of the formula

3y + 4x = 6

3y = -4x + 6

Divide through by 3

3y/3 = -4/3 x + 6/3

y = -4/3 x + 2

Hence the equation of the line in slope-intercept form is y = -4/3 x + 2

If a shadow of a tree is 15 feet long. What is the height of the tree in feet

Answers

Answer: 27 ft I think

GIVING BRAINLIEST! Please help.

A wooden right circular cylinder with diameter 9 cm and height 9 cm is topped with a hemisphere. The surface area, in cm^2, of the resulting shape is...

a) 141.75pie

b) 182.25pie

c) 162pie

d) 405pie

e) 18.25 + 60.75pie

Answers

Answer: answer is d

Step-by-step explanation:

i would explain but im helping 7 other people rn

anyone know what this 3 ⅞ x 3/10 = ?

Answers

EXACT FORM:

[tex] \frac{93}{80} [/tex]

OR,

MIXED NUMBER FORM:

[tex]1 \frac{13}{80} [/tex]

BOTH ANSWERS ARE CORRECT!

HOPE THIS HELPS!! :)

Dave is going to roll a die 60 times and see how often 1 falls.
According to the theoretical probability, how many shots must Dave make to expect to get 1?

Answers

Answer:

1,2,3,4,5,6 possibilities, so 1,3,5 are odd. 3/6 probability. consecutive rolls mean multiplication. 3/6 times 3/6 times.... a total of 5 times.

Step-by-step explanation:

Answer:

=1/6 x 60

=10

He should expect about 10 roles to show a 1.

Round your answer to the nearest hundredth

Answers

Answer:

15.01

Step-by-step explanation:

Tangent=Opposite/adjacent

Tan(65)=?/7

Tangent of 65 x 7=

15.01

Please help! how do i know if it’s sin, cos, or tan if they’ve already given me all three numbers ?

Answers

Answer:

Here you can use any!

sin x = 64/80

cos x = 48/80

tan x = 64/48

Find the product. Write the product in simplest form.
8 X
5/7

Answers

Answer:

Simplify above fraction

56

6

Common divisor of (56, 6) is 2

Divide both numerator & denominator by gcd value 2

56

6

=

56

÷

2

6

÷

2

=

28

3

8

3

×

7

2

=

28

3

Step-by-step explanation:

Find 3 numbers in G.P whose sum is 28 and whose product is 512

Answers

Answer:

4, 8 and 16

Step-by-step explanation:

a/r ×a×ar =512

a^3 =512

a = cube root of 512

a=8

8/r+8+8r=28

8r^2+8=20r

8r^2-20r+8=0

8r^2-16r-4r+8=0

8r(r-2)-4(r-2)=0

(8r-4)(r-2)=0

r=2

8r=4

so r=2 or r=1/2

so of r is 2

8/2=4

and 8×2=16

Subtract 2x2 – 1 from 4x2 + 2

Answers

Answer:

5 ig

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4x2= 8

8+2= 10

------

2x2 = 4

4-1=

3

-----

10-3=7

A Spanish teacher shares 10 maracas equally between 6 students. The number of maracas that each student gets lies between what two whole numbers?

1 and 2
4 and 5
3 and 4
6 and 7

Answers

its between 1 & 2 because 10/6= 1.67, which is between 1 & 2

WILL GIVE BRAINLEST

The length of a violin string varies indirectly with the frequency of vibrations of the string. When the length is 50 centimeters, the frequency is 2 Hz.

What is the frequency of a string 40 centimeters long?

Answers

16 -> work is in the picture

Answer:

1.6 Hz

Step-by-step explanation:

I know this was posted a week ago, but, if you still need help:

You can set up a proportion, as follows.

50 / 2  =  40 / x => where x = frequency in Hz,

x = 2*40/50 = 80/50 = 8/5 = 1.6 Hz

Simple Question.

Find f^-1(x) where
f(x) = 3x+2/x

Answers

Given:

Consider the function is

[tex]f(x)=\dfrac{3x+2}{x}[/tex]

To find:

The inverse of the function, .i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{3x+2}{x}[/tex]

Putting f(x)=y, we get

[tex]x=\dfrac{3y+2}{y}[/tex]

Isolate the variable y.

[tex]xy=3y+2[/tex]

[tex]xy-3y=2[/tex]

[tex]y(x-3)=2[/tex]

[tex]y=\dfrac{2}{x-3}[/tex]

Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex]

Therefore, the inverse function is [tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex].

Simplify
5 + 2(3x − 4) − x

Answers

[tex]5x - 3[/tex]

Step-by-step explanation:

1) Expand by distributing terms.

[tex]5 + 6x - 8 - x[/tex]

2) Collect like terms.

[tex](5 - 8) + (6x - x)[/tex]

3) Simplify.

[tex] - 3 + 5x[/tex]

4) Regroup terms.

[tex]5x - 3[/tex]

Therefor the answer for this equation will be, 5x - 3.

Answer:

5x-3

Step-by-step explanation:

distribute 2 to 3x and -4

then you get 5+6x-8-x

combine like terms

5-8; 6x-x

you get: 5x-3

hopes this helps

A bird flies 5 miles per hour for 2 hours.

How far, in feet, does the bird travel in 2 hours?

Answers

52,800 feet. If flying at 5 mph for 2 hours the bird will be traveling 10 miles. 10 miles into feet is 52,800

Answer:

since u have the answer already i will just tell you a story

Step-by-step explanation:

once upon a time there were 3 little pigs and those pigs hated each other

so one day when there mother kicked them out of the house because they ate all of her pie, they had to go out and live on the streets. One pig got hungry so he ate a little kitten that was crossing the street. THE END.

hope u liked my story

please help me with this question and if you don't know it, pls don't answer. thank you!

the directions are: determine whether the triangles are similar by AA, SSS, SAS, or not similar. if the troubles are similar, write a valid similarity statement.

Answers

Answer:

The triangles are similar because angle N=angle E and angle F=angle H.

Angle-Angle (AA or AAA) Similarity theorem: If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Step-by-step explanation:

A rectangular piece of land has an area of 3/4 square mile. The land is 2 1/2 miles long. What is its width

Answers

Given:

A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.

The land is [tex]2\dfrac{1}{2}[/tex] miles long.

To find:

The width of the rectangular land.

Solution:

We have,

Area of a rectangle =  [tex]\dfrac{3}{4}[/tex] square mile.

Length = [tex]2\dfrac{1}{2}[/tex] miles

We know that, area of a rectangle is

[tex]A=l\times b[/tex]

[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]

[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]

[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]

Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get

[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]

[tex]\dfrac{6}{20}=b[/tex]

[tex]\dfrac{3}{10}=b[/tex]

Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.

NEED HELP ASAP PLS PLS PLS 30 POINTS PLSSS

it’s algebra 2


Answers

Answer:

if the ratio is 7/10 then do 10/400 and it will be 28 days

Step-by-step explanation:

Falling rock on another planet was detected as moving at the following speeds, corresponding to the time suggested in the table, which equation Can be used to find the speed of the rock at T seconds?

Answers

Answer:

B. s = 24t

Step-by-step explanation:

Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my

m = rate of change

✔️Find the rate of change:

Rate of change using two given pairs, (0.5, 12) and (2.5, 60),

Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24

✔️Substitute m = 24 into s = mt

s = 24t

Hello, I need help. thank you

Answers

Answer:

B

Step-by-step explanation:

all you need to do is add 5 to the y for example ( -5, 5) add 5 to the (x,5) to make ( -5,10). As you can see only the y value is shifting, not the x value, that's why you need to add 5 to all the y values.

So the answer here is B.

Answer:

B

Step-by-step explanation:

The answer is B because 5 units up from 5 is 10. A and B both have a y coordinate of 5 and the answer letter B is the only one that mention 10 as a y coordinate twice

Work out the size of angle x

Answers

Answer:

angle x=10

Step-by-step explanation:

Find the missing side of the triangle

Answers

Answer:

25 in

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

Leg a = 24

Leg b = 7 in

Leg c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]:                                          24² + 7² = x²Evaluate exponents:                                                                                      576 + 49 = x²Add:                                                                                                                 625 = x²[Equality Property] Square root both sides:                                                 25 = xRewrite/Rearrange:                                                                                        x = 25

Given the equation of line y = -2x : Does the point M( 1/2 , 1) belong to the graph?
PLEASE HELP ME! I promise to mark brainliest if you give me the correct answer. Thank you!!

Answers

Answer:

no it does not belong to the graph

Step-by-step explanation:

plug in the x-coordinate and see if it gives you the y-coordinate (1). if 1 is what comes out, then it is not a point on the graph.

y = -2(1/2)

y = -1

y = -1  when x = 1/2, which is not 1 so it does not belong to the graph

I BET NO ONE KNOWS THIS What is the number of moles of Ba(NO3)2 in 135 g Ba(NO3)2? _____ mol Ba(NO3)2

Answers

Answer:

261.3368

Step-by-step explanation:

A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?

Answers

Answer:

the answer

Step-by-step explanation:

the answer :7

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