Use whichever method you choose to solve the system of equations: x + y = 6 and 3x + 5y = 26

Answers

Answer 1
Substitution is the easiest
Answer 2

Answer:

x = 7

y = 1

Step-by-step explanation:

[tex]x + y = 6 - - - - - (1)\\ 3x + 5y = 26 - - - - - - (2) \\ \\ \\ from \: equation \: (1) \\ collect \: like \: terms \\ y = 6 - x \: - - - - - (3) \\ substitute \: equation \: 3 \: into \: (2) \\ 3x + 5(6 - x) = 26 \\ 3x + 30 - 5x = 26 \\ collect \: like \: terms \\ 3x + 5x = 30 + 26 \\ 8x = 56 \\ x = \frac{56}{8 } \\ x = 7 \\ substitute \: x = 7 \: into \: equation \: (3) \\ y = 7 -6 \\ y = 1[/tex]


Related Questions

Review the equation below. 2KClO3 Right arrow. 2KCl + 3O2 How many moles of oxygen are produced when 2 mol of potassium chlorate (KClO3) decompose? 1 2 3 6

Answers

Answer:   3 mol of O₂

Solution:

The Balance chemical equation is as follow,

                               2 KClO₃    →    2 KCl  +  3 O₂

According to this equation on decomposition 2 moles of Potassium chlorate (KClO₃) produces 2 moles of Poatassium chloride (KCl) and 3 moles of oxygen gas (O₂).

Therefore, when,

                    2 moles of KClO₃ produces  =  3 moles of O₂

So,

                 2 moles of KClO₃ will produce  =  X moles of O₂

Solving for X,

                    X =  (2 mol × 3 mol) ÷ 2 mol

                   X  =  3 mol of O₂

Using above method you can calculate any amount of O₂ or KCl produced by decomposing any amount of KClO₃.

Answer:

3 mol of O₂

Step-by-step explanation:

i got a hundred on Edge

What is the conversion factor for the relationship between millimeters and centimeters?.

Answers

Answer:

  10 mm = 1 cm

Step-by-step explanation:

10 mm = 1 cm

__

The SI prefix "milli-" means 1/1000. The prefix "centi-" means 1/100. Consequently 1 cm = 0.010 m and 1 mm = 0.001 m.

There are 10 mm in 1 cm.

sketch the graph of f(x)=-3^x and describe the end behavior of the graph.

Answers

Answer: 3-

Step-by-step explanation:

a +3 1/4 = 5 2/9
What’s the answer

Answers

Answer:

a = 1.972

Step-by-step explanation:

a + 3 1/4 = 5 2/9

find a common denominator

a + 3 9/36 = 5 8/36

a = 5 8/36 - 3 9/36

a = 188/36 - 117/36

a = 71/36

a = 1.982

lolololololololololollolool

Answers

lolo lol is the answer because it is

I need help with this​

Answers

Volume formula: 1/3pir^2h

From this, 1/3(pi)(8^2)(15)= 1005.3

This is not a answer choice but… 1004.8 is the best choice they might have used 3.14 instead of the full pi

Hope this helps

Solve system of equation:

7x - 4y = 1
5x - y = -16

Answers

Answer:

X= -5

y= -9

Step-by-step explanation:

7x -4y = 1

4(5x -y = -16)

(7x - 4y = 1) - (20x -4y = -64)

X= -5

y= -9

ASAP!!! please help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1.5

Step-by-step explanation:

because if u divide 6 by 4 that will equal 1.5

please help it would really help alot

Answers

Step-by-step explanation:

An appropriate estimation would be to the ones place.

[tex] \frac{36 \div 4}{40 \div 4} = \frac{9}{10} [/tex]

9/10 (90%) is closer to 1 than to 0.

The estimation for 36/40 is 1.

1/3 (33%) is closer to 0 than to 1.

The estimation for 1/3 is 0.

[tex] \frac{70 \div 10}{100 \div 10} = \frac{7}{10} [/tex]

7/10 (70%) is closer to 1 than to 0.

The estimation for 7/10 is 1.

1/8 (12.5%) is closer to 0 than to 1.

The estimation for 1/8 is 0.

Solve for b
2(-2b+3)=9

Answers

Answer:

b=-3/4 or b=-0.75

Step-by-step explanation:

[tex]2(-2b+3)=9[/tex]

[tex]2b+3=\cfrac{9}{2}[/tex]

[tex]-2b=\cfrac{9}{3} -3[/tex]

[tex]-2b=\cfrac{3}{2}[/tex]

[tex]b=-\cfrac{\frac{3}{2} }{2}[/tex]

[tex]b=-\cfrac{3}{2\times 2}[/tex]

[tex]b=-\cfrac{3}{4}[/tex]

Hope it helps! :)

yall HELP PLEASE What is the slope of the line segment?

Answers

Answer:

a. 5

Step-by-step explanation:

Taking two points, (0,0) and (1,5), find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Plugging the two points in, we have [tex]\frac{5-0}{1-0}=5[/tex] as the slope.

Answer:

Slope = 5

Step-by-step explanation:

We will use 2 points on the line.

(1 , 5) and (2 , 10)

formula for slope = y2 - y1/x2 - x1

10 - 5/2 - 1

= 5/1

= 5

The slope is 5.

what's this....?
5(x+9)=60

Answers

x=3

Steps:
I used a calculator.

Answer:

Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.

Step-by-step explanation:

hello ur intro

Bryant types 1400 words in 25 minutes. How many words does he type per minute?

Answers

Answer:

56 words per minute

Step-by-step explanation:

1400÷25=56

Answer:

56 wpm

Step-by-step explanation:

Layla read 6 books in the first two months she was a member of a book club. Which equation best represents y, the total number of books read in x number of months?
A. y = 6x
B. y = 2x
C. y = 3x
D. Not Here

Answers

Answer:

C

Step-by-step explanation:

So if we look at the information that we already know, Layla's reading to months ratio is, 6:2. But to find out the equation we want to find out how many books she reads in ONE month instead of two.

Divide 2/2, and for ratios if you divide one side you have to do the same thing to the other side, so we get, 3:1. Where Layla reads 3 books per 1 month.

Therefore the answer is C.

If we wanted to double check our answer we could substitute our information back in:

6=3×2

6=6

Since the equations equal each other, we know we got it correct.

can someone please help me​

Answers

Answer:

1a. 58/99

1b. 53/90

1c. 29/50

Step-by-step explanation:

let's start with the easiest one

1.(c)

0.58 = 58/100 = 29/50

that is the simplest possible form, as 29 is a prime number and not a factor of 50.

1.(a)

0.585858585858... = 58×0.0101010101010101...

now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.

and we find

1/99 = 0.01010101010101...

so, our solution is

58 × 1/99 = 58/99

that is the simplest possible form, as 58 and 99 do not share any factors.

1.(b)

0.5888888888888... = 0.5 + 0.0888888888888... =

= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...

we know how to create 0.11111111111... :

1/9 = 0.111111111111111...

so, our solution is

0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =

= 45/90 + 8/90 = 53/90

this is the simplest possible form, as 53 is already a prime number and not a factor of 90.

Can someone help me please

Answers

Area of trapezium= 1/2 × (a+b) × h

= 1/2 × (12 + 8) × 8

= 1/2 × 20 × 8

= 10 × 8

= 80 cm^3

Hope it helps you

assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. log8 9x

Answers

[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] ~\dotfill\\\\ \log_8(9x)\implies \log_8(9)+\log_8(x)[/tex]

Find the three consecutive square numbers whose sum is 149.

Answers

Answer:

36 + 49 + 64 = 149

6^+7^2+8^2

Hope This Helps!!!

Adrian wants to buy a skateboard that costs $85 After 1 month, he has $4 in savings and plans to quadruple the amount he has saved each month for 4 months Will Adrian have enough money to buy the skateboard in 4 months?

Answers

Adrien will not have enough money in 4 months.
Answer: $64
4 x4=16
16x4=64
64≠85

Select all the expressions that are equivalent to 4-3.
A) -12
B) (-4) - (-4).(-4)
C) 2-6
D (1/4) • (1/4) • (1/4)
E) (1) · (1). (1)
F) 8-1/ 2 to the power of 2
G) 12

Answers

Answer:

See below.

Step-by-step explanation:

4*-3

A) -12

C) 2*-6

-hope it helps

The expressions that are equivalent to 4 × -3 are A) -12 and C) 2 × -6.

What is the expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Option A is a straightforward multiplication of 4 and -3, which gives -12.

Option C (2 × -6) is equal to -12.

Option B can be simplified as follows: (-4) - (-4) · (-4) = (-4) - 16 = -20.

Therefore, option B is not equivalent to 4 × -3.

Option D is equal to 1/64.

Option E is equal to 1.

Option F is equal to 2, and option G is equal to 12.

Options B, D, E, F, and G are not equivalent to 4 × -3.

Learn more about the expression here :

brainly.com/question/21751419

#SPJ2

Can anyone help please

Answers

Answer:

Monday: 25

Tuesday: 121

Wednesday: 15

Step-by-step explanation:

Monday: square numbers

[tex] {1}^{2} = 1 [/tex]

[tex]2 {}^{2} = 4[/tex]

[tex] {3}^{2} = 9[/tex]

[tex] {4}^{2} = 16[/tex]

[tex] {5 }^{2} = 25[/tex]

[tex] {6}^{2} = 36[/tex]

Tuesday: add a power of 3

[tex] {3}^{1 } = 3[/tex]

[tex] {3}^{2} = 9[/tex]

[tex] {3}^{3} = 27 [/tex]

[tex] {3}^{4} = 81[/tex]

1+3=4, 4+9=13, 13+27=40, 40+81=121

Wednesday: one less than a power of 2

[tex] {2}^{1} - 1 = 2 - 1 = 1[/tex]

[tex] {2}^{2} - 1 = 4 - 1 = 3[/tex]

[tex] {2}^{3} - 1 = 8 - 1 = 7[/tex]

[tex] {2}^{4} - 1 = 16 - 1 = 15[/tex]

[tex] {2}^{5} - 1 = 32 - 1 = 31[/tex]

[tex] {2}^{6} - 1 = 64 - 1 = 63[/tex]

Factor this trinomial: 6x^2 +19x+3

Please show all work, I give Brainliest.

Answers

Step-by-step explanation:

[tex]\implies \: {6x}^{2} + 19x + 3 \\ \implies {6x}^{2} + (18 + 1)x + 3 \\ \implies {6x}^{2} + 18x + x + 3 \\ \implies6x(x + 3) + 1(x + 3) \\ \implies(x + 3)(6x + 1)[/tex]

i dont know what to put can you help

Answers

Answer:

Step-by-step explanation:

m ∠ 1 = 42 °

m ∠ 2 = m ∠ 4 = m ∠ 9 = m ∠ 12 = ( 180° - 62° - 42° ) = 76 °

m ∠ 3 = m ∠ 6 = m ∠ 7 = 62 °

m ∠ 5 = m ∠ 8 = ( 180° - 62° ) = 118 °

m ∠ 10 = m ∠ 11 = ( 180° - 76° ) = 104 °

Nancy Drew runs an ice cream shop. She is determining how many employees should work next week and at what times. She is performing which management function?

Answers

The management function being performed by Nancy according to the description is; Scheduling/Planning

Management Functions

Management functions simply is a collection of the five broad activities that managers perform in a bid to achieve organizational goals which includes:

Planning,Organizing,Staffing,Directing, andControlling

Read more on management functions;

https://brainly.com/question/17083312

Classify each pair of numbered angles. Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once. Two lines intersect. The largest angle has the equation (3x minus 52) degrees to define it and the second to largest angle has the equation (2x plus 2) degrees to define it. A straight line with another line coming out of it at an angle. The largest angle has the equation (10x minus 20) degrees to define it and the smaller angle has the equation (6x plus 8) degrees to define it.

Answers

(i) Pairs of neighboring angles are supplementary and opposite angles have the same measure.

(ii) The two angles formed by a line coming out of another line are supplementary.

How to analyze pairs of angles

(i) When two straight lines pass through each other, then two pairs of opposite angles are constructed. A pair with angles of [tex](3\cdot x + 52)^{\circ}[/tex] and another pair with angles of [tex](2\cdot x + 2)^{\circ}[/tex], each pair of angles with different measures are supplementary.[tex]\blacksquare[/tex]

(ii) When a straight line comes out of another straight line, from a point distinct to any endpoint of the former, then we construct two supplementary angles. The largest angle has a value of [tex](10\cdot x + 20)^{\circ}[/tex], whereas the smaller one has a value of [tex](6\cdot x + 8)^{\circ}[/tex]. [tex]\blacksquare[/tex]

To learn more on angles, we kindly invite to check this verified question:  https://brainly.com/question/15767203

A grocer sells oranges in bags. Each empty bag weighs 2. 5 ounces and each orange weighs 7. 2 ounces. Khalil buys a bag of oranges that weighs 60. 1 ounces. Which equation can be used to find x, the number of oranges in the bag? 7. 2 x = 60. 1 2. 5 x 7. 2 = 60. 1 60. 1 minus x = 2. 5 7. 2 2. 5 7. 2 x = 60. 1.

Answers

The equation 60.1 = 7.2x + 2.5 can be used to find the number of oranges in the bag is 8.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

A grocer sells oranges in bags. Each empty bag weighs 2.5 ounces and each orange weighs 7.2 ounces.

Khalil buys a bag of oranges that weighs 60.1 ounces.

Let x be the number of oranges.

Then the equation will be

y = 7.2x + 2.5

For y = 60.1, the value of x is

[tex]\rm 60.1 = 7.2x + 2.5\\[/tex]

On simplifying, we have

x = 8

Thus, the number of oranges in the bag is 8.

More about the linear system link is given below.

https://brainly.com/question/20379472

A textbook store sold a combined total of 480 physics and history textbooks in a week. The number of physics textbooks sold was three times the number of history textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

120 history textbooks

360 physics textbooks

Step-by-step explanation:

Physics textbooks = 3 times the amount of history textbooks

History textbooks = x

Physics textbooks = 3x

480 = x + 3x

= 4x

480/4 = x

x = 120

120 history books sold

480-120 = 360

360 physics textbooks sold

btw sorry if I didn't give enough working or help you understand it I'm not great at this kind of thing

Find the coordinates of point C on AB that is = of the distance from A to B.

Answers

Answer:

We need to see the graph can u show me the graph

Step-by-step explanation:

?

What is the 4th equivalent fraction to
5/6

Answers

Answer:

20/24

Step-by-step explanation: Hope this helps

Sue Ellen owns 2/7 of a business. What percent of the partnership does she own?

Answers

Answer:

20%?

Step-by-step explanation:

I think im wrong but what u can do is u can convert the fraction into a decimal then get ur answer from there.

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