X=1-y, 6x+5y=11 using substitution method

Answers

Answer 1

Answer:

x=6 y=-5

Step-by-step explanation:

6x+5y=11

X=1-y

6x=6(1-y)

6x=6-6y

6-6y+5y=11

6-y=11

y=-5

x=1-y

x=1-(-5)

x=6

so,

x=6

y=-5

Answer 2

Answer:

[tex]y = ( - 5) \\ x = 6[/tex]

Step-by-step explanation:

[tex]x = 1 - y \\ 6x + 5y = 11 \\ \\ \\ 6(1 - y) + 5y = 11 \\ 6 - 6y + 5y = 11 \\ - 6y + 5y = 11 - 6 \\ - y = 5 \\ y = - 5[/tex]

[tex]x = 1 - y \\ x = 1 - ( - 5) \\ x = 1 + 5 \\ x = 6[/tex]

Let's check whether the answer is correct.

[tex]6x + 5y = 11 \\ 6 \times 6 + 5 \times ( - 5) = 11 \\ 36 - 25 = 11 \\ 11 = 11[/tex]

yes ,its correct

Related Questions

in a class of 30, 80 percent of students answered a question correctly. how many got it right?

Answers

Answer:

24

Step-by-step explanation:

Take the number of students and multiply by the percentage to see how many got it right

30 *80%

Change to decimal form

30 *.8 =24

24 students got it correct

(-4 × 5.2) − (-3 × -4/5)=
) =

Answers

Answer:

[tex]=-23.2[/tex]

Step-by-step explanation:

[tex]\left(-4\times \:5.2\right)-\left(-3\left(-\frac{4}{5}\right)\right)\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=-4\times \:5.2-3\times \frac{4}{5}\\4\times \:5.2=20.8\\4\times \:5.2\\\mathrm{Multiply\:the\:numbers:}\:4\times \:5.2=20.\\=20.8\\3\times \frac{4}{5}=\frac{12}{5}\\3\times \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}\\=\frac{4\times \:3}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12\\[/tex]

[tex]=\frac{12}{5}\\=-20.8-\frac{12}{5}\\\mathrm{Convert\:element\:to\:a\:decimal\:form}\\\frac{12}{5}=2.4\\=-20.8-2.4\\\mathrm{Subtract\:the\:numbers:}\:-20.8-2.4=-23.2\\=-23.2[/tex]

Please help and get points

Answers

Answer:

???

what is the question

Step-by-step explanation:

Answer:

What is your question

Step-by-step explanation:

Which compound inequality could this graph be the solution of

Answers

Answer:

2x + 3 ≥ 11 or 4x - 7 ≤ 1

Step-by-step explanation:

2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct answer for this question.

2x + 3 ≥ 11 and 4x - 7 ≤ 1

⇒ 2x ≥ 8 and 4x ≤ 8

⇒ x ≥ 4 and x ≤ 2

Hope this helps.

Tolong ka yang bisa jawab:)​

Answers

Answer:

1) 5/8

[tex]\frac{5}{8} rad = 35.809\textdegree[/tex]  or (atau)   [tex]\frac{5}{8} \pi rad = 112.5\textdegree[/tex]

2) a. 75°  b. 132°

[tex]75\textdegree = 1.308[/tex] [tex]rad[/tex]   or (atau)    [tex]75\textdegree = 0.41\overline{6}[/tex] [tex]\pi[/tex] [tex]rad[/tex]

[tex]132\textdegree = 2.303[/tex] [tex]rad[/tex]  or (atau)    [tex]132\textdegree = 0.7\overline{3}[/tex] [tex]\pi[/tex] [tex]rad[/tex]

Find the slope of a line that passes through points (–1, –5) and (6, 9).

Answers

Answer:

2

Step-by-step explanation:

The work is linked below. 69 lol.

Answer:

a=yB - yA/ xB - xA =9 +5 /6+1 = 14 /7 =2

a(slope) =2

Hope this helps...

please help it's in math

Answers

Answer:

Step-by-step explanation:

area of front face=(12+8)/2 ×8=80 cm²

volume=80×22=1760 cm³

Please answer correctly !!! Will mark brainliest !!!!!!

Answers

Answer:

5

Step-by-step explanation:

Because i think we gotta find where the y axis of hx is 3

camille has 18.90 to spend on groceries. after buying 10 grapefruits she had 3.90 left. if each grapefruit costs the same amount. what is the price of one grapefruit

Answers

Answer:

1.5

Step-by-step explanation:

18.90-10x=3.90

10x=15

x=1.5

Select the correct answer.

What is the value of x in the given figure?


Figure not drawn to scale
A.
8
B.
12
C.
13
D.
18

Answers

A would be the answer because your subtracting it

Answer:

its b or c

Step-by-step explanation:

picked a was not a d is just too far off

Find the Two Values that x can have if X^2 -10=26​

Answers

Answer:

+6 and -6.

Step-by-step explanation:

x^2 - 10 = 26​

x^2  = 26  + 10 = 36

x = +/- 6.

The two values which x can have will be +6 and -6

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c =0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the equation be f ( x )

The equation f ( x ) is x² - 10 = 26

Now , adding 10 on both sides , we get

x² = 36

Taking square roots on both sides , we get

x = ±6

We know , (-6)² = 36 and (+6)² = 36

Therefore , x can have 2 solutions , which is ±6

Hence ,  the two values which x can have will be +6 and -6

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The sum of three and four tenths and a number is six and six tenths.

Answers

Answer:

3.2  (and the equation is 3.4 + x = 6.6)

Step-by-step explanation:

the word problem is written as:

3.4 + x = 6.6

we want to solve for x.

to isolate x by itself, subtract 3.4 from both sides. (3.4 - 3.4=0 & 6.6 - 3.4 = 3.2)

now we have     x = 3.2

so x equals 3.2

hope this helps!! :)

What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)?
3
6
112
121

Answers

Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

     = - (x² - 6x - 112) ← distribute by - 1

     = - x² + 6x + 112

Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

vertex = (3, 121 ) ← with y = 121

Answer:

D. 121

Step-by-step explanation:

In the Income section shown below from the 1040EZ form, a single taxpayer
filing her federal income tax return entered $0 on line 6 for her taxable
income. Assuming that nobody can claim the taxpayer as a dependent, which
of these dollar amounts could have been on line 4 for adjusted gross income?

Answers

Answer: D.9100

Step-by-step explanation:

Answer:

The correct answer is $9,100

Step-by-step explanation:

Help thank you show work

Answers

Answer: x = 12 degrees.

Step-by-step explanation:

The triangle ABC is a right triangle, which means that it has a right angle of 90 degrees.

This is represented by the small square on the bottom-left corner of the triangle.

The angle DBC is 78 degrees. There is also the angle of ABD, which is represented by X.

The right angle is equivalent to 78 degrees and x. You can represent this in an equation, where the sum of 78 degrees and x = 90 degrees, the right angle:

78 + x = 90

x = 12

Which statements are true about the median

Answers

Answer:

First, Third, Fifth statements are true about the median of a data set. Step-by-step explanation: Median is the middle value . Median isn't affected much by one outlier because median is the middle value of an ordered sequences of value

What is the area of the shaded region?
A. 21 mm squared
B. 24 mm squared
C. 42 mm squared
D. 48 mm squared

Answers

Hello!

Answer:

[tex]\boxed{ \bf The~area~of~the~shaded~region~is~B.~24 mm^2}[/tex]

______________________________________________________

Explanation:

To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.

Outer:

A = [tex]\frac{1}{2}[/tex]bh

A =  [tex]\frac{1}{2}[/tex](12 · 5)

A =  [tex]\frac{1}{2}[/tex](60)

A = 30 mm²

Inner:

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex](4 · 3)

A = [tex]\frac{1}{2}[/tex](12)

A = 6

30 - 6 = 24

Katherine and her children went into a bakery and where they sell cupcakes for $2.50 each and donuts for $1.25 each. Katherine has $25 to spend and must buy at least 14 cupcakes and donuts altogether. If xx represents the number of cupcakes purchased and yy represents the number of donuts purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:the ration to x and b that equals c is about 3 dollars

Step-by-step explanation:

Brainliest question Please help me now plz

Answers

Answer:

A. Inside the circle

Step-by-step explanation:

K(0, 0), U (6, - 4), V ([tex] \sqrt 2,\: 7)[/tex]

In order to determine whether point V lie inside, outside or on the circle, first we will find the distances between points K & U and then K & V.

KU would be radius of the circle.

If KV is smaller than KU, then V will lie inside. If KV is larger than KU, then V will lie outside And If KV = KU, then V will lie ion the circle.

[tex]d(KU) = \sqrt{ {(6 - 0)}^{2} + {( - 4 - 0)}^{2} } \\ = \sqrt{ {6}^{2} + {( - 4)}^{2} } \\ = \sqrt{36 + 16} \\ \red{ \bold{ d(KU)= \sqrt{52} }} \\ \\ d(KV) = \sqrt{ {( \sqrt{2} - 0)}^{2} + {( 7 - 0)}^{2} } \\ = \sqrt{ {( \sqrt{2)} }^{2} + {(7)}^{2} } \\ = \sqrt{2 + 49} \\ \purple{ \bold{ d(KV)= \sqrt{51} }} \\ \\ \because \: d(KU) > d(KV) \\ [/tex]

Hence point V lie inside of the circle.

0.5 +6.38=6.9 because 0.5 is precise to the tenth digit so the answer must also be rounded to the nearest tenth true or false?

Answers

Answer:

True

Step-by-step explanation:

The rules of significant figures

Answer:

True

Step-by-step explanation:

correct on homework

liz asked charlie to pick up her up a cup of frozen yogurt. she asked for I need to toppings from the six: chocolate chips, granola, peanuts, raspberries, walnuts, and strawberries. what is the probability that Charlie brings her frozen yogurt tops with chocolate chips and raspberries?

Answers

Step-by-step explanation:

Total toppings = 6

Probability of chocolate chips = 1/6

Probability of raspberries = 1/6

And if both together then

Probability = 2/6 = 1/3

Find the perimeter
Please answer
HS geometry

Answers

Answer:

Hey boss man, just add up all the sides! For example, just add 3.9+3.9+3.9! and if there is a line in the middle of a certain side, it means that it is congruent or the same as another side with a dash. For example, with number 2, the side without a measurement is congruent with the the side with measurement of 7mm! Hope this helps! You got this! :)

Step-by-step explanation:

Mike wants to save $1,750 in the next 12 months. He plans to save $150 each month for the first 11 months. What is the total amount of money Mike will save during the first 11 months if he saves $150 each month?

Please need steps

Answers

Answer:

$1650

Based on the question, we don't need the information that Mike wants to save 1750 in 12 months.

We just need to focus on how he is saving 150 every month, for 11 months.

150*11=1650

He will save $1650 if he saves $150 every month for 11 months.

Step-by-step explanation:

Can i get brainiliest plz

At a sandwich shop, they charge $2.75 for the basic sandwich and then $0.45 per ounce for the toppings. If
Willa paid for her sandwich with a $5 bill, how many ounces of toppings could she have ordered?

Answers

She has 5 ounces of toppings.
The reasoning is you first do 5-2.75 because you must subtract the basic sandwich from the total cost. Then, you must divided 2.25/0.45 because that is the cost of the remaining toppings.

Answer: 3 toppings

Step-by-step explanation: If 2 topping equals $1 then its would come out to $3.75.$0 .75+$0.45= $1.20 the.n $3.75+ $1.20 = $4.95. That comes up to 3 toppings

If (4 to the power of 2)p = 4 to the power of 14, what is the value of p?

Answers

(4^2)p=4^14
p=(4^14)/(4^2)
p = 4^12

The radius of a cylindrical water tank is 4 ft , and its height is 10 ft . What is the volume of the tank?
Use the value 3.14 for , π and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

2010 cu ft to the nearest whole number.

Step-by-step explanation:

Volume = π r^2 h

= 3.14 * 4^3 * 10

= 2009.6

The volume of the water tank is approximately 502 cubic feet.

What is a cylinder?

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

The volume V of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height.

Substituting the given values, we get:

V = π (4 ft)² (10 ft)

V = 3.14 (16 ft²) (10 ft)

V = 502.4 ft³

Rounding this answer to the nearest whole number gives a final answer of V = 502 ft^3.

Therefore,

The volume of the water tank is approximately 502 cubic feet.

Learn more about cylinder here:

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Factorise the expression (c+2d)^2-(c+2d)(3c-7d)

Answers

Answer:

 (c + 2d) • (9d - 2c)

Step-by-step:

Step  1  :

Equation at the end of step  1  :

 ((c + 2d)2) -  (c + 2d) • (3c - 7d)

Step  2  :

Pulling out like terms :

2.1      Pull out     c+2d

After pulling out, we are left with :

     (c+2d) • ( (c+2d) +( (-1)  *  (3c-7d) ))

Answer:

(c+2d)(9d - 2c) = [tex]5dc - 2c^{2} + 18d^{2}[/tex]

Step-by-step explanation:

[tex](c+2d)^{2} - (c+2d)(3c-7d)[/tex]

[tex](c+2d)(c+2d) - (c+2d)(3c-7d)[/tex]

Both sides have (c+2d) so pull out (c+2d)

Rule: a.b + a.c = a(b+c)Rule: a.b - a.c = a(b-c)

(c+2d) [(c+2d) - (3c-7d)]

(c+2d) [c+2d - 3c +7d]

(c+2d) [-2c + 9d] = (c+2d)(9d - 2c)

Rule: (a+b)( c + d) = ac + ad + bc + bd ==> Foil method

(c+2d)(9d - 2c) = [tex]9dc - 2c^{2} + 18d^{2} -4dc[/tex] = [tex]5dc - 2c^{2} + 18d^{2}[/tex]

Hope this helps ^-^

An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You Buy an album for $12 right and solve any quality that represents how much more money and we will spend to receive the three free songs

Answers

Answer:

need to spend $18 more in addition to $12

Step-by-step explanation:

Given: According to online music store, if you spend $30 or more, you receive 3 songs for free

To find: How much more money need to be spend in addition to $12 to receive three free songs

Solution:

Let x denotes amount to be spend in addition to $12 to receive three free songs

According to question,

[tex]x+12\geq 30\\x\geq 30-12\\x\geq 18[/tex]

if you roll a fair 6 sided die what is the probability it will roll greater then 6

Answers

Answer:

0 (zero)

the die is six sided............

I hope this helps

Answer:

0!

Step-by-step explanation:

a length of rope 4.12 ft long is cut into pieces 2.06 ft long. About how many pieces would there be? Use estimation to determine your answer

Answers

Answer:

2

Step-by-step explanation:

4.12/2.06 = 2

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