Which is the correct equation to find the value of X?

Answer:

y = 7x - 47

Step-by-step explanation:

y = mx + b (m is slope, b y-intercept)

Parallel lines have the same slope.

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

y = 7x + 1

m = 7

(6, - 5)

y + 5 = 7 (x - 6)

y = 7x - 47

Answer:

4/12

Step-by-step explanation:

Because the bottom numbers are the same just subtract the top numbers:

8/12 -4/12 = 4/12

4/12 can simplify to 1/3

Answer:

10 (2 and 10 can both divide into it)

2x-5+5>7+5

2x>12

2x partido de 2 > 12 partido de 2 :

x>6

Answer:

$0.60...$1.50

Step-by-step explanation:

Answer:

8.25 years

Step-by-step explanation:

hope this helps :)

Answer:

Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%

Step-by-step explanation:

Percentage change = Change ie (New - Old)    x 100

                                        Old value

Suppose -

Number of interest groups in 1959 = 500

Number of interest groups in 1995 = 600

Percentage change = [ (600 - 500) / 500 ] x 100

( 100 / 500 ) x 100 = 20%

Answer:

69

Step-by-step explanation:

The sequence 2,5,8,..... The sum of the 1st 36 terms in arithmetic sequence is 1962.

Given that,

The sequence 2,5,8,.....

We have to find the sum of the 1st 36 terms of the sequence.

We have an sum of the sequence formula from arithmetic sequence.

The sum of all the digits in an arithmetic sequence is determined using the sum of the arithmetic sequence formula. Remember that the addition of the members is the definition of a finite arithmetic sequence. The typical order of the arithmetic sequence is (a, a + d, a + 2d,...), with "a" standing for the first term and "d" for the common difference.

Sum of the arithmetic sequence is S = n/2 {2a + (n − 1) d}

Where

S is the total of the mathematical sequence,

a is the first term,

d is difference of the terms,

n is number of terms in the sequence.

So, now a =2, n=36,d=5-2=3

S=36/2{ 2×2+(36-1)×3}

S=18{4+(35)×3}

S=18(4+105)
S=18×109

S=1962

Therefore, the sum of the 1st 36 terms in arithmetic sequence is 1962.

To learn more about sequence visit: https://brainly.com/question/21961097

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Answer:

y=4x-7

Step-by-step explanation:

y=4x+6 (1,-3)

y=mx+b

m= 4 (1,-3)

y-(-3)=4(x-1)

y+3=4x-4

-3 -3

y=4x-7

The perimeter of the triangle ABC is the sum of the side lengths of the triangle

Using the assumed values, the perimeter of the triangle is 12 units

Assume the side lengths of the triangle are:

AB = 3

BC = 4

CA = 5

Then the perimeter (P) would be:

P = AB + BC + CA

This gives

P = 3 + 4 + 5 = 12

Hence, the perimeter of the triangle is 12 units

Read more about perimeter at:

https://brainly.com/question/17297081

Answer:

60-12=48min

Step-by-step explanation:

Kimberly takes 12 min, 1/5 of 60 min.

Answer:

[tex]\frac{16}{x} = \frac{80}{100}[/tex]  

Step-by-step explanation:

To set up this proportion, we know that 16 must correspond with 80% and the x, the number we're looking for must correspond with 100%

[tex]\frac{16}{x} = \frac{80}{100}[/tex]

This would be the correct proportion, and you could simplify it to equal

[tex]\frac{16*100}{80}[/tex]

Answer:

The smallest possible value of the sum of their squares is 128.

Step-by-step explanation:

Let the first number = x

let the the second number = y

x +  y = 16

y = 16 -x

minimum value, f = x² + y²

f(x) = x² + (16-x)²

f(x) = x² + 256 - 32x + x²

f(x) = 2x² - 32x + 256

f(x)' = 4x - 32

4x - 32 = 0

4x = 32

x = 32 / 4

x = 8

The absolute minimum value of x = 8

y = 16 - x

y = 8

The smallest possible value of the sum of their squares is given by x² + y²;

=  (8)² + (8)²

= 128

Therefore, the smallest possible value of the sum of their squares is 128.

Answer:

A solution set to an inequality means that the values given will solve the inequality correctly. All of the given values are possibilities for the inequalities and will make the inequality true.

Answer:

3x+7

Step-by-step explanation:

Answer:

Let's simplify step-by-step.

4+2x+3+1x

=4+2x+3+x

Combine Like Terms:

=4+2x+3+x

=(2x+x)+(4+3)

=3x+7

Step-by-step explanation:

Answer:

ALTERNATIVE 1

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-60x² + 275x) - (50000 + 30x)

P(x) = -60x² + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - 60x)

R(x) = -60x² + 275x

d. Find the marginal revenue function in terms of x.

R'(x) = (-60 · 2x) + 275

R'(x) = -120x + 275

The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60

ALTERNATIVE 2

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-x²/60 + 275x) - (50000 + 30x)

P(x) = -x²/60 + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - x/60)

R(x) = -x²/60 + 275x

d. Find the marginal revenue function in terms of x.

R(x) = -x²/60 + 275x

R'(x) = -x/30 + 275

Answer:

Solve for  r

− √ 11  <  r  <  √ 11

Step-by-step explanation:

Answer:

20/41 (it can't be reduced or simplified)

Step-by-step explanation:

41 is a prime number hence cannot be divided by anything.

Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)

$9.00

Hope you had a good Thanksgiving break, and I hope this helps.

Answer: It’s A

Step-by-step explanation: C= -14/3 which is simplified to -4 2/3

Answer:

A.

Step-by-step explanation:

So you foil 2c and -5

Which will give you 5c+4=2c-10

Subtract 2c 5c-2c+4=2c-2c-10

Then You will get3c+4=−10

Step 3: Subtract 4 from both sides.

3c+4−4=−10−4

3c=−14

Step 4: Divide both sides by 3.

3c/3=-14/3

So it will be -14/3 which is -42/3

Which is A.

Answer:

36 sq ft

Step-by-step explanation:

The answer fam is 36 feet^2

Let width be x

Then, length be 4x

Perimeter=2(l+b)

30=2(4x+x)

30=2×5x

30=10x

x=3feet

Length=4×3=12 feet

Width=3 feet

Area=lb

=12×3=36 feet^2

Answer:

114 is the value of x in bottom triangle

Step-by-step explanation:

40+26+x=180

or,66+x=180

or,x=180-66

or,x=144

Answer:

[tex] PD = 18 [/tex]

[tex] EQ = 4 [/tex]

Step-by-step explanation:

Given:

AP = 3,

PQ = 5,

QB = 7,

CP = 2,

QD = 14

Required:

1. PD

2. EQ

SOLUTION:

1. Based on Intersecting Chords Theorem,

[tex] AP*PB = CP*PD [/tex]

AP = 3

PB = PQ + QB = 5 + 7 = 12

CP = 2

PD = ?

Plug in the values into the equation

[tex] 3*12 = 2*PD [/tex]

[tex] 36 = 2*PD [/tex]

Divide both sides by 2

[tex] \frac{36}{2} = PD [/tex]

[tex] 18 = PD [/tex]

[tex] PD = 18 [/tex]

b. Based on Intersecting Chords Theorem,

[tex] EQ*QD = AQ*QB [/tex]

EQ = ?

QD = 14

AQ = AP + PQ = 3 + 5 = 8

QB = 7

Plug in the values into the equation

[tex] EQ*14 = 8*7 [/tex]

[tex] EQ*14 = 56 [/tex]

Divide both sides by 14

[tex] EQ = \frac{56}{14} [/tex]

[tex] EQ = 4 [/tex]

Step-by-step explanation:

if x is the amount of weekend hours, let y be the amount of weekday hours. then you can solve for x by using the equations x + y = 190 and 49x + 25y = 5275. once you have values for x and y, the other answers should be easy