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xxTIMURxx [149]
3 years ago
15

X – 6y - 9 = 0 x = 8y + 6 What is a resulting equation?

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0

Answer:

-2y + 3 = 0

Step-by-step explanation:

x - 6y - 9 = 0

-6y - 9 = -x                          subtract x from both sides

6y + 9 = x                            divide both sides by -1

x = 8y + 6

6y + 9 = 8y + 6                    replace x with 6y + 9

-2y + 9 = 6                           subtract 8y from both sides

-2y + 3 = 0                            subtract 6 from both sides

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the new parking lot has spaces for 450 cars the ratio of spaces for full size cars to compact cars is 11 to 4 how many spaces ar
Bogdan [553]
The ratio 11:4 means that the total number of spaces is a multiple of 15 parts, this multiple is what value is assigned to each part.

450/15=30  so each part is equal to 30 spaces

Full sized car spaces are 11*30=330 spaces

Compact car spaces are 4*30=120 spaces.
6 0
3 years ago
he XO Group Inc. conducted a survey of brides and grooms married in the United States and found that the average cost of a weddi
ahrayia [7]

Answer:

A. P(X<20,000) = 0.0392

B. P(20,000 < x < 30,000) = 0.488

C. Amount = $39,070

Step-by-step explanation:

From XO group website

Cost of a wedding = $29,858

Mean, μ = $29,858

Standard Deviation, σ =$5,600

a. Calculating the probability that a wedding costs less than $20,000

P(X<20,000)?

First, the z value needs to be calculated.

z = (x - μ)/σ

x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

So, P(X<20,000) = P(Z<-1.76)

From the z table,

P(Z<-1.76) = 0.0392

P(X<20,000) = 0.0392

b. Calculating the probability that a wedding costs between $20,000 and $30,000

P(20,000 < x < 30,000)

First, the z value needs to be calculated.

z = (x - μ)/σ

When x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

When x = 30,000

z = (30,000 - 29,858)/5600

z = 0.02

P(20,000 < x < 30,000) = P(-1.76 < z <0.02) --- using the z table

P(-1.76 < z <0.02) = 0.508 - 0.0392

P(-1.76 < z <0.02) = 0.4688

P(20,000 < x < 30,000) = 0.488

c. Using the following formula, we'll get the amount it'll a wedding to be among the 5% most expensive

z = (x - μ)/σ where x = amount

Make x the subject of formula

x = σz + μ

Fist we need to get the z value of 5%

z0.05 = 1.645

x = σz + μ becomes

x = 5600 * 1.645 + 29,858

x = $39,070

Amount = $39,070

5 0
2 years ago
A triangle has side lengths of
alexandr402 [8]

Answer:

P = ( 4y + 6 inches) + ( 8y - B ) inches + ( 5y + 3 ) inches

Step-by-step explanation:

Formula of Perimeter of triangle is = Sum of all sides.

P = A + B + C

6 0
2 years ago
Classify Angle 1 &amp; Angle 2 by choosing the correct term from the choices below.
Elena L [17]

Answer:

complementary

Step-by-step explanation

Im not positive but theres a high chance its B

8 0
2 years ago
Name the property of multiplication illustrated<br><br> 112 X 1 = 112
Nat2105 [25]

Answer:

Identity property

Step-by-step explanation: because the product of any number and one is that number

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