Solve the system by substitution.
−5x+2y=14
y=3x+2

Answers

Answer 1
Answer:   x = 10; y = 32

Step-by-step explanation:

let   −5x+2y=14   be [1]

&        y=3x+2    be [2]  

Finding the value of x

By substituting y in [2] for y in [1]

⇒  −5x + 2(3x+2) = 14         [expand the bracket]

⇒     -5x + 6x + 4 = 14         [subract 4 from both sides and simplify]

⇒                       x = 10

Finding the value of y

Since x =10, we can substitute value of x into [2]

⇒     y = 3(10) + 2

⇒     y = 32


Related Questions

How do you write 7

11
/
18

as a whole number

Answers

Answer: 8

Step-by-step explanation

Write as a decimal

7 11/18 is equal to 7.6111

Round the decimal to the nearest whole number:

If you have a decimal that is greater than or equal to 5 in the tenths place then you round up. Ex: 5.8 would be rounded to 6, 1.5 would be rounded to 2.

If you have a decimal that is less than or equal to 4 in the tenths place then you round down. Ex: 5.1 would be rounded 5, 1.2 would be rounded to 1.

Since 6 is in the tenths place we round up.  7 11/18 can be written as 8 (as whole number)

3/4 of what number equals 36 ?????????

Answers

Answer:

48

Step-by-step explanation:

This question can be written as 3/4 times a number equals 36.

To multiply by 3/4 we would times 36 and 3 and then divide by 4.

We will do the opposite to find our unknown number

36 ÷ 3 = 12

12 × 4 = 48

The number of the solution will be 48.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

3/4 of a number is equal 36.

Now,

Let a number = x

So, we can formulate;

⇒ 3/4 of x = 36

Solve for x as;

⇒ 3/4 × x = 36

Multiply by 4 as;

⇒ 3/4 × 4x = 36 × 4

⇒ 3x = 36 × 4

Divide by 3, we get;

⇒ x = 36 × 4/3

⇒ x = 12 × 4

⇒ x = 48

Thus, The number of the solution will be 48.

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Find the missing amount)
Original:_______
New: 260 gallons
%increase: 30%

(not multiple choice)

Answers

Answer: 182 gallons

find 30% of 260 by multiplying 260 by 30%

260 x .3 = 78

30% of 260 = 78

Subtract 78 from 260 to get original amount

260 - 78 = 182

Original is 182 gallons

ps. this is an actual impossible question because you need to know the original amount to find what 30% of it is. What i found was a 30% decrease of 260 not a 30% increase of the original. With that being said I think this is what you want?

Answer:

Original = 200 gallons

Step-by-step explanation:

Original: x

New: 260

Percent Increase: 30%

x = 100%

New = 100% + 30%

260 = 130%

To find, original we do:

260/130 * 100 =

2 * 100 = 200

-Chetan K

Jenny made $315.25 for 8 hours of work. How much would Jenny make for 40 hours of work

Answers

If Jenny made $315.25 for 8 hours of work:

Then it means that she made:
$312.25/8 hours = $39.41 per hour.

If Jenny works for 40 hours, then she will make:

40 hours × $39.41 = $1,576.25


Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

What did i do wrong?

Answers

this is a rirangle urduxgsyududus

Which of the following is equivalent to (27/y^6)^-1/3

Pls help

Answers

The answer is B. Y^2/3.

Help someoneeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

17²-8²=9²

9²=18

√18=9

>> Answer

_________

[tex] \: [/tex]

b² = c² - a²

b² = 17² - 8²

b² = 289 - 64

b² = 225

b = √225

b = 15

16:12:20 in lowest terms

Answers

Answer:

4:3:5

Step-by-step explanation:

16/4 = 4, 12/4 = 3, 20/4=5

1Which angle measures less than 90° but greater than 0?

Right Angle

Btuse Angle
Acute Angle
Straight Angle
:

Answers

The answer is acute angle

The correct answer to the question would be that it is a Acute angle

pls help me ty very much​

Answers

Answer:

i need help also

Step-by-step explanation:

Answer:

B, C, A

Step-by-step explanation:

I did this question before and I got it right.

a linear function is graphed on the coordinate plane below. what is the 0 of the function

Answers

Answer:

-5 i think

Step-by-step explanation:

PLEASE HELP THIS IS DUE TODAY AT 11:59 !!!
(b) Does each triangle have the same change in x-values? Explain.
(c) Does each triangle have the same change in y-values? Explain.
(d) Does each triangle have the same ratio of change in y-values over change in x-values? Explain.

Answers

Answer:

See Below

Step-by-step explanation:

Point A (0,0)

Point B (3,2)

Point C (9,6)

b. x values from A to B: 0 to 3

x values from B to C: 3 to 9

No, AB has a change of 3 and BC has a change of 6 in x

c. y values from A to B: 0 to 2

y values from B to C: 2 to 6

No, AB has a change of 2 and BC has a change of 4 in y

d. Calculate Slope: [tex]\frac{y{2}-y{1}}{x{2}-x{1}}[/tex]

AB (2-0/3-0) = 2/3

BC (6-2/9-3) = 4/6 = 2/3 simplified

Thus, AB has the same ratio of change as BC


Help pls I’m stuck ;-;

Answers

Answer:

Seven is the answer to your question

It’s linear so you map out the first differences and then put it into y=Mx+b form. For the y gotta find the y intercept. please help

Answers

Answer:

y = 5/3x + 1

y-intercept: (0, 1)

Step-by-step explanation:

In order to determine the linear equation in its slope-intercept form, y = mx + b, where m = slope, b = y-intercept:

You need two ordered pairs from the table to solve for the slope:

We'll use (6, 11) and (9, 16).

Let (x1, y1) = (6, 11)

(x2, y2) = (9, 16)

Substitute thes values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (16 - 11) / (9 - 6)

m = 5 / 3

Therefore, the slope of the line is: m = 5/3.

Next, we need to determine the y-intercept of the line. The y-intercept is the y-coordinate of the point (0, b ) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

To find the y-intercept, we'll use the slope, m = 5/3, and one of the ordered pairs from the table, (6, 11). Substitute these values into y = mx + b to solve for the y-intercept, (b ):

y = mx + b

11 = 5/3(6) + b

11 = 10 + b

Subtract 10 from both sides to solve for b:

11 - 10 = 10 - 10 + b

1 = b

The y-coordinate of the y-intercept, (0, b) is 1. The y-intercept as an ordered pair is (0, 1). For the linear equation in slope-intercept form, you'll use b = 1 to write the equation.

Therefore, given the slope, m = 5/3, and the y-intercept, b = 1:

The slope-intercept form is: y = 5/3x + 1

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evaluate 2(x+1) -3 when x =6
a.8
b.5
c.11
d.10​

Answers

Answer:

C. 11

Step-by-step explanation:

Simplify each term

Add 6 and 1

2x7−3

Multiply  

2 by 7

14−3

Subtract  

3 from 14

And you get  

11

The answer is c.11

(6+1)= 7 so 7 times 2 =14 so 14-3=11

d-7<12;d=19
solve for answer

Answers

Answer:

19 is the answer

Step-by-step explanation:

hope its correct

what is the volume of a block of iron that measures 2cm by 10cm by 3cm?

Answers

Answer:

this is the density d=7 5/6 9/cm3 but I might be 89/100cm3 or 0.89g/cm3

Triangle CDE and triangle CGH are drawn below, which methods are used to map onto each other. Please help i have two hours to answer this!

Answers

Please submit a picture. We can’t say how they were mapped onto each other without seeing how they were mapped onto each other.

Workout 1 2/5 divide 1/3

Answers

Answer:

4.2

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

1[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Divide [tex]\frac{1 x 5+2}{5}[/tex] by [tex]\frac{1}{3}[/tex] by multiplying [tex]\frac{1 x 5+2}{5}[/tex] by the reciprocal of [tex]\frac{1}{3}[/tex]

[tex]\frac{( 1 x 5 + 2) x 3}{5}[/tex]

Add 5 and 2 to get 7.

[tex]\frac{7 x 3}{5}[/tex]

Multiply 7 and 3 to get 21.

[tex]\frac{21}{5}[/tex]

Factor

[tex]\frac{3.7}{5}[/tex] = 4[tex]\frac{1}{5}[/tex] = 4.2

if Point p is located on the segment between point A (1,4) and point D (7,13) . The distance from A to P is twice the distance from P to D . What are the coordinates of point P​

Answers

Answer:

P (5 , 10)

Step-by-step explanation:

point A (1,4) and point D (7,13),         AP/PD = 2:1

P (x,y) : x = x₁ + (a/(a+b) * (x₂-x₁))       y = y₁ + (a/(a+b) * (y₂-y₁))    .... a=2 b=1

x = 1 + 2/(2+1) * (7-1) = 5

y = 4 + 2/(2+1) * (13-4) = 10

P (5 , 10)

About 142 million people in the United States watch online videos. If 44.02 watch news stories, about what percent watch news stories?

Answers

Answer:

31% Watch news stories

Step-by-step explanation:

write the first five terms of the geometric sequence with the given 1st term and the common ratio.

hi can someone please answer my question i really need the complete step-by-step solution thank you ❤️​

Answers

Answer:

an = a1 x r^n-1

-> a2= 3 x 4^2-1 = 3x4 = 12

a3= 3x4x4 = 48

a4 = 3x4x4x4 = 192

a5 = 3x4x4x4x4 = 768

Step-by-step explanation:

Here is the complete solution! Hope it helps!

hi :) can u help me?​

Answers

Answer:

The answer would be 84

Step-by-step explanation:

You divide  60 by 25 and get 2.4. Then multiply 30 by 2.4 to get 72. Finally, multiply 35 to get 84.

Hope this helps! Have a great day!!       **please give me brainliest :)

Answer:

84

Step-by-step explanation:

because you did 30=72 already and you just need to find the extra 5 mins

you do 25 divided by 5 =5

60 divided by 5=12

then do 30 mins (72) + 5 mins (12) = 35 mins (72+12+84)

In a game, a player has to guess a 3-digit code in an attempt to unlock a trunk containing a prize. If the digits are to be chosen from the integers between 0 and 9 and they can be repeated, what is the probability that the player guesses the correct code on the first try?

Answers

Answer:

I think it will be 3/9=1/3

The probability that the player guesses the correct code on the first try is 0.001 or 0.1%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

In a game, a player has to guess a 3-digit code in an attempt to unlock a trunk containing a prize.

If the digits are to be chosen from the integers between 0 and 9 and they can be repeated.

The total number of outcomes will be

Total outcomes = 10³ = 1000

The player guesses the correct code on the first try. Then the favorable event will be

Favorable event = 1

Then the probability will be

[tex]\rm P = \dfrac{1}{1000}\\\\P = 0.001\\\\P = 0.1 \%[/tex]

The probability that the player guesses the correct code on the first try is 0.001 or 0.1%.

More about the probability link is given below.

https://brainly.com/question/795909

PLEASE EXTRA POINTS AND BRAINLIEST HELP PLEAS FOR THE BOOKTHW OUTSIDERS WRITE AN OBITUARY FOR JOHNNY CADE AND DALLY (DALLAS WINSTION) PLEASE HELP!

Answers

Answer:

ok ok por favor, un punto extra y la ayuda más brsinliest por favor para



SHORT ANSWER
Write each of the numbers 1, 4, 9, 16, and 25 as a base raised to the
second power. Explain why these numbers sometimes are called perfect squares

Answers

Answer:

because their principal square roots are also positive integers, square roots of numbers which are not perfect squares like 2 are irrational

step by step:

The square of a number is the number you get ehen you multiply that bumber by itself. so if n is a number then nxn = n2 is the 'square of n' it is called that because the area of a square whose edge lengh is n units is n2 square units

perfect square numbers are the numbers which are ths squares of the positive integers

ibrahim buys bags of coloured marbles blue marbles are sold in bags of 10 green marbles are sold in bags of 6 and white marbles are sold in bags of 12 ibrahim wants to buy an equal number of blue ,green and white marbles ,what is the smallest number of bags of each colour hecould buy

Answers

The smallest number of bags of each colour that he could buy is 60.

How to calculate the value?

From the information, Ibrahim buys bags of coloured marbles. The blue marbles are sold in bags of 10 green marbles are sold in bags of 6 and white marbles are sold in bags of 12.

Since ibrahim wants to buy an equal number of blue ,green and white marbles, the smallest number of bags will be the lowest common multiple of the numbers. This will be:

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60

10 = 10, 20, 30, 40, 50, 60

12 = 12, 24, 36, 48 and 60

The smallest common multiple is 60.

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The product of two numbers is 144 and their difference is 10 what are the numbers​

Answers

Answer:

26

Step-by-step explanation:

let the two numbers be X and Y

XY = 144

X - Y = 10

(X + Y)^2 = ( X - Y)^2 + 4 XY

= 100 + 576 = 676

(X+Y) = √676

X + Y = 26

Steve and Mark are both filling their own bucket with water.
-Steven begins with 8 cups of water in his bucket, and fills the bucket at a rate of 2 cups per second.
- The number of cups of water, W, in Mark's bucket after t seconds is represented by the equation w= 8t + 1
Which statement is true:
A. Mark begins with more cups of water in his bucket
B. Mark begins with the same amount of water as Steven
C. Mark fills his bucket at a faster rate than Steven
D. Mark fills his bucket at the same rate as Steven

Answers

Answer:

D

Step-by-step explanation:

iptpuhdo is a good idea what to get larger fast and furious at

angles homework i need help

Answers

Answer:

a=110°.... honestly it's a guess.

Step-by-step explanation:

360 to go around the box.

360-70°=290-70°=220

220÷2=110

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