Which is the solution to the system 3x+y=8 and 7x−4y=25

Answers

Answer 1

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

3x + y = 8 → (1)

7x - 4y = 25 → (2)

Multiplying (1) by 4 and adding to (2) will eliminate the y- term

12x + 4y = 32 → (3)

Add (2) and (3)  term by term to eliminate y

19x + 0 = 57

19x = 57 ( divide both sides by 19 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) + y = 8

9 + y = 8 ( subtract 9 from both sides )

y = - 1

solution is (3, - 1 )


Related Questions

What do you do to both sides to
r? What is r? 3/8 r = 6 HELP ME

Answers

Answer:

r = 16

Step-by-step explanation:

[tex]\frac{3}{8}r = 6 \\\\[/tex]

Multiply both sides by 8

[tex]8*\frac{3}{8}r = 6*8\\\\3r = 48\\[/tex]

Divide both side by 3

[tex]\frac{3}{3}r=\frac{48}{3}\\\\r = 16[/tex]

OR

Multiply both side by (8/3)

[tex]\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16[/tex]

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km

Find the surface area of the pyramid, round to the nearest tenth:

Answers

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

please help!!! i’m not the best at math like at all so this would be very much appreciated

Answers

Answer:

Hello! Your answer is ,19 and 10

Step-by-step explanation:

Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia

What is the product of 4/7 and 1/6?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2/21

Explanation:

4/7 x 1/6 = 4/42 = 2/21

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

brass is an alloy of zinc and copper. if 30% of the content is zinc . find the weight of zinc and copper in 300 gram of brass.​

Answers

Step-by-step explanation:

Here's your solution

=> percentage of zinc = 30%

=> total weight of alloy = 300 gram

=> amount of zinc = (30/100)*300 = 90 gram

=> amount of copper = 300 - 90 = 210 gram

hope it helps

Laura wants to cover a box with fabric.
• The box is in the shape of a rectangular prism.
• It measures 15 in. long, 11 in. wide, and 24 in. tall.

Answers

Answer:

Area of rectangular prism = 1,578 inch²

Step-by-step explanation:

Given:

Length of rectangular prism = 15 in

Width of rectangular prism = 11 in

Height of rectangular prism = 24 in

Find:

Total fabric need

Computation:

Total fabric need  = Area of rectangular prism

Area of rectangular prism = 2[lb + bh + hl]

Area of rectangular prism = 2[(15)(11) + (11)(24) + (24)(15)]

Area of rectangular prism = 2[165 +264 + 360]

Area of rectangular prism = 2[789]

Area of rectangular prism = 1,578 inch²

Rewrite in standard form. Find the center and radius of the circle. Show all of your work for full credit.

Answers

Where is the picture?

what is 2 to the tenth power

Answers

Answer:

1024

Step-by-step explanation:

2•2•2•2•2•2•2•2•2•2

1024

2 to the tenth power is 1024


Plz help me!!!!!!
Dante rolled both six-sided number cubes at the
same time. What is the probability of him rolling double
sixes?
A. 1/6
B. 1/3
C. 1/12
D. 1/36

Answers

Answer:

1/36

Step-by-step explanation:

P=(1/6)(1/6)=1/36

Plz help asap 15 points + might get the brilliant

Answers

Answer:

Step 1-2

Step-by-step explanation:

The person doing this question, did not distribute the 6 properly.

They distributed the 6 to the x, but not to the 4.

When done properly, it should be:

6x+24=3x-2

Answer:

step 2

Step-by-step explanation:

4 times 6=24

6(x+4)=3x-2

6x+24=3x-2

3x+24=-2

3x=-26

Solve the right triangle. Round your answers to the nearest tenth.

Answers

Answer:

B = 44°

c = 27.8

b = 19.3

Step-by-step explanation:

m∡B = 180 - (90 + 46)

sin46° = 20/c

c = 20 / sin 46°

c = 27.8

b² + 20² = 27.8²

b² + 400 = 772.84

b² = 372.84

b = [tex]\sqrt{372.84}[/tex]

b = 19.3

678754*457945=12456x

Answers

hoodiehoodie negan⚡️shim✨ togaji⭐️boogie boogie iepon kogo dance️groovy groovy

Guided Practice
The answer is NOT letter A

Find the range of the function rule y=5x−2 for the domain.{−1/2, 1/4, 2/5}Find the range function rule


A.
{−1/2, 3 1/4, 4}


B.
{− 4 1/2, −3/4, 0}


C.
{3/10, 9/20, 12/25}

Answers

Answer:

B.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

Graph.

y = 5 x − 2 { − 1 /2 , 1 /4 , 2 /5 }

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function

{–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 > y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 > y = 5(0) − 2 = 0 − 2 = −2

x = 4 > y = 5(4) − 2 = 20 − 2 = 18

{-1/2, 1/4, 2/5}

Step-by-step explanation:

All you have to do is go on a graphic calculator and input the equation by pressing y= then after putting it in to y= all you have to do is press 2nd (the only blue button) and graph and that will show you all the points to that equation (also known as range and domain)

Hope this helps. :)

Domain is inputs, input the domain for x

y=5(-1.2)-2

y=-6-2

y=-8

y=5(0)-2

y=0-2

y=-2

y=5(4)-2

y=20-2

y=18

range is {-8, -2, 18}

For x = 0,

we substitute zero into the equation to find its y value like so:

y = 5x-2

y = 5(0)-2

y = -2

There you go.

Take the derivative of the equation 4 times. f 4 (x)=0.

Y = 5x – 2  

domain. {–5, –1, 0, 2, 10}

x = -5 then y = 5(-5)  – 2 = -27

x = -1 then y = 5(-1)  – 2 = -7

x = 0 then y = 5(0)  – 2 = -2

x = 2 then y = 5(2)  – 2 = 8

x = 10 then y = 5(10)  – 2 = 48

answer

{–27, –7, –2, 8, 48}

Find the value of x.
9
19
x = [?]

Answers

Answer:

14

Step-by-step explanation:

Answer:

looks like 18 not sure tho

Step-by-step explanation:

What is the total number of digits required in numbering a book that has 1724 pages?

Answers

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

There are 5,789 digits in total required to number the pages of a book with 1,724 pages.

What is Numbering?

A numbering is the assignment of natural numbers to a set of objects in some formal language, such as functions, rational numbers, graphs, or words, in computability theory.

Digits required in numbering a book that has 1724 pages?

Given the total number of pages is 1,724

Let's break down the pages now to find the total digits.9

one-digit numbers (1-9) = 9 x 1 = 9 digits make up the number 1,724.90 numbers with two digits (10-99) = 90 x 2 = 180 digits900 three-digit numbers (from 100 to 999) = 900 times three = 2700 digits725 numbers with four digits (1000-1724) = 725 x 4 = 2900 digits

Let's add the digits now.9 + 180 + 2700 + 2900 = 5,789

As a result, the total number of digits required to number the pages of a 1,724-page book is 5,789.

Learn more about numbering here: https://brainly.com/question/251701

#SPJ2


A washer and a dryer cost $766 combined. The washer costs $66 more than the dryer. What is the cost of the dryer?

Answers

Answer:

416

Step-by-step explanation:

for 700 350 plus 350 then for dryer 66 extra so 350 plus 66

A regular hexagon is inscribed in a circle with a diameter of 8 inches.

a. What is the perimeter of the hexagon?

b. What is the area of the hexagon?

Step by step please!!!

Answers

Answer:

b) 41.6 square inches

Step-by-step explanation:

A regular hexagon is inscribed in a circle with a diameter of 8 inches.

Step 1

We find the radius

Radius = Diameter/2

= 8 inches/2 = 4 inches

a. What is the perimeter of the hexagon?

b. What is the area of the hexagon?

An hexagon has 6 sides

The number of angles in an hexagon is calculated as:

[(Number of sides - 2) x 180]

= (6 - 2) x 180 = 720 ÷ 6 = 120°

The hexagon into 6 equilateral triangles with 4 for each of its sides.

The area of one of the triangles:

Height = 2√3

- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3

The area of the hexagon by multiplying the one triangle's area by 6:

6 x 4√3 = 24√3 square inches

= 41.569219382 square inches

Approximately = 41.6 square inches

a = 4, n = 8, y = 2, x = 10 Evaluate the algebraic expression x + 3y - n. 6 8 12 D 24​

Answers

Answer:

B. 8

Step-by-step explanation:

By evaluate, they mean substitute in the values and solve.

x + 3y - n

= 10 + 3(2) - n

= 10 + 6 - 8

= 8

Please lmk if you have questions.

Answer:

It is 8!

Proof:

I took the activity.

I NEED HELP NOW LIKE RIGHT NOW

Answers

Answer:

Hey! Answer: F

Step-by-step explanation:

13.5 ÷ 9= 1.5

18 ÷ 12 = 1.5

So our pattern is to enlarge/multiply it by 1.5

So 1.5 x 15 = 22.5

So F is our answer!

need help po thank you

Answers

Answer:

a) P

b) NP

c) P

d) p

e) p

1.30,35,40. add 5

2. 4,0,-4.  take 4

3. -8,-10,-12. add -2

A number x divided by 6 is at least 16 .

Answers

Answer:

x = 96

Step-by-step explanation:

Answer:

x/6≥16

Step-by-step explanation:

What is the answer?

Answers

Answer:

66 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the base area and h the perpendicular height )

A = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11

V = 6 × 11 = 66 cm³

the answer is 35cm to the 3rd power

Complete the missing parts of the table for the following function. y = x
5

| -2 | -1 | 0 | 1 | 2 | 3 |
|________________
| 1/25 | 1/? | 1 | 5 | ? | ? |​

Answers

Answer:

The function is:

y = [tex]5^x[/tex]

Missing numbers:

x = -1 ⇒  y = 1/5x = 2 ⇒ y = 25x = 3 ⇒ y = 125

I NEED HELP!!
This is a another question, I'll give you 100 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out and describe it on a piece of paper or on your computer don't send me links, send me screenshots of your work show me how you did it.

Answers

it is true

Answer:

left hand side6+2x

6x-6

right hand side

3(2x-2)

6x-6

now

6x-6=6x-6

0=0

4x+12+3x+7x(3+5)+6=90

solve for x

Answers

Answer:

4x+12+3x+7x(3+5)+6=90

Combine like terms.

4x+12+3x+56x+6=90

63x+18=90

63 x = 72

x = 72/63

x = 8/7

FAST HURRY HELP PLZZ

Answers

Answer:

I think its A but not 100 percent sure

Step-by-step explanation:

2, 0

random words because word limit weee

Which is a perfect square?
6^1
6^2
6^3
6^5

Answers

Answer:

6^2

Step-by-step explanation:

6^2 because,

6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.

6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square

*This one almost tricked me*

6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776)  it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.

6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.

Therefore, its 6^2

(This is my 100th question answered!)

Hope this helps have a nice day!

NEED HELP ASAP
Which is a different way to express 5r?
5+r
2r+3r
r5
3r⋅2r

Answers

Answer:

2r+3r

Step-by-step explanation:

even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r

how to solve -3x-6y=3 and 2x+7y=-17 using elimination method PLEASE SHOW WORK

Answers

So I showed my work for you I’m pretty sure my answer is right if you want to use it

Given: tangent A = negative StartRoot 15 EndRoot What is the value of Tangent (A minus StartFraction pi over 4 EndFraction)? StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot minus 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Answers

Answer:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Step-by-step explanation:

Given

[tex]\tan A =-\sqrt{15[/tex]

Required

Find [tex]\tan(A - \frac{\pi}{4})[/tex]

In trigonometry:

[tex]\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}[/tex]

[tex]tan \frac{\pi}{4} = 1[/tex]

So:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}[/tex]

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Answer:

StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Step-by-step explanation:

EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction

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