What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?

Answer:

there is no solution for this equation, Hope this helps! x <3

Step-by-step explanation:

v/84=2/21

We move all terms to the left:

v/84-(2/21)=0

We add all the numbers together, and all the variables

v/84-(+2/21)=0

We get rid of parentheses

v/84-2/21=0

We calculate fractions

There is no solution for this equation

Answer:

15 gallons

Step-by-step explanation:

(3 / 4) * (20 US gallons)

= 15 gallons

Answer:

15 gallons are in the tank

Step-by-step explanation:

3/4(20)

Answer:

yes they have 2 corresponding equal angles.

Answer:

x=5+1/3y

Step-by-step explanation:

y=-15+3x

-3x=-15+y

Divide both sides of the equation by -3

x=5+1/3y

Answer:

0.0495

Step-by-step explanation:

used a calculator

0.0495.

[tex]495 / 10000 = 0.0495.[/tex]

B)

Answer:

6

Step-by-step explanation:

If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.

6

Step-by-step explanation:

First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6

Answer:

x = 6

Step-by-step explanation:

5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.

(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.

The height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, let we take:

Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]

where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).

Also, we can write:

[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]

Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.

Thus, we have:

[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]

From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]

Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]

Using the z-tables, we get the value of Z for which p-value is 0.025 as

-1.96

Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]

Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]

Thus, the range is [a,b] = [63.35, 72.65]

Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

Answer:

-1/2

Step-by-step explanation:

2x-y=-8 --> y=2x+8 (slope: 2)

to be perpendicular, the product of two slopes should be -1

thus, the slope of a line perpendicular to this one is -1/2

Answer:

$17.70

Step-by-step explanation:

123.90 / 7 = 17.7

Answer:

180 minutes in 3 hours 225 miles in 3 hours

Step-by-step explanation:

Answer:

y = (-1/4)x + 1 so that the y-intercept is 1

Step-by-step explanation:

The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)

(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8

-x + 4 = 4y

y = (-1/4)x + 1 so that the y-intercept is 1

Answer:

x > 7

Step-by-step explanation:

6x - 12 > 30

add 12 to 30

6x > 42

divide 6 to 42

x > 7

Not sure if this is what you needed but hope this helped!!!

Answer:

90 yards of string

Step-by-step explanation:

You multiply the 45 Balloons and 6 feet of string. Then u divide it by 3 bc there are 3 yards is a feet.

Answer:

The better deal is  8 bagels for $4.15

Step-by-step explanation:

6 bagels for $3.29

3.29/ 6 = $.54833333 per bagel

8 bagels for $4.15

4.15/ 8 =$.51875 per bagel

The better deal is  8 bagels for $4.15

Answer:

buy 8 bagles

Step-by-step explanation:

because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose

Answer:

In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!

Step-by-step explanation:

Answer: √20

Step-by-step explanation:

4.47213595 (the 5 repeats)

Answer: Lcm = 600

Step-by-step explanation: Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 5 × 5

LCM = 600

Answer:

600

Step-by-step explanation:

120= 2*2*2*3*5________eq1

200=2*2*2*5*5_________eq2

we get common factor from 1 and 2

2*2*2*5*3*5 = 600

so the least common factor is 600

Answer:

b. 8.6

Step-by-step explanation:

Given:

B = 49° 13'

b = 10

Required:

Find a

SOLUTION:

The reference angle given = 49° 13'. Converted to degrees, we have 49.2167°.

b = Opposite side to the reference angle B = 10

a = adjacent side to angle B = ?

To find a, apply the following trigonometric ratios formula:

[tex] tan(B) = \frac{opp.}{adj.} [/tex]

[tex] tan(49.2167) = \frac{10}{a} [/tex]

Multiply both sides by a

[tex] tan(49.2167)*a = \frac{10}{a}*a [/tex]

[tex] tan(49.2167)*a = 10 [/tex]

Divide both sides by tan(49.2167)

[tex] \frac{tan(49.2167)*a}{tan(49.2167)} = \frac{10}{tan(49.2167)} [/tex]

[tex] a = \frac{10}{tan(49.2167)} [/tex]

[tex] a = 8.6 [/tex] (nearest tenth)

Answer:

B.

Step-by-step explanation:

8.6

Answer:

364,321

384963+15358=364321

infinitely many solutions

Hi there !

3(y - 2) = 3y - 6

3y - 6 = 3y - 6 | + 6

3y = 3y

true ∀ y ∈ R

Good luck  !

Answer:

If the slope is the same but the intercept is different

i.e.

y=2x+1

y=2x+2

Step-by-step explanation:

If the slope is the same the lines are parallel, but if the y-intercept is also the same the lines have infinite solutions.

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

Answer:

154+2x=360

Step-by-step explanation:

Since the opposite angles are the same you add them together getting 154. You now have two unknown angles that are congruent which is expressed as 2x, and since a four sided shape always has an interior angle of 360 you set it equal. This gives you 154+2x=360.

Answer: It is the last one

154 + 2x = 360

Step-by-step explanation:

x= 103

154 + 2(103)= 360

154 + 206 =360

Answer:

$93.75

Step-by-step explanation:

The computation of the total cost of order is shown below:

The Cost of 8 pounds of Pepperoni is

=  8 × $3.15

= 25.2

The Cost of 15 pounds of cheese is

= 15 × $1.85

= $27.75

The Cost of 12 pounds of sausage is

= 12 × $3.40

= $40.8

So, The total cost is

= $25.2 + 27.75 + $40.80

= $93.75

Answer:

a

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i believe it's hard to see the graph

Answer:

Step-by-step explanation:

7/8 is 63/72

5/12 is 25/60

4/18 is 8/36

Answer:

w(x)=2.3x+31

Step-by-step explanation:

From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:

w(x)= 2.3x+31, where:

w(x)= weight of the dolphin

x=number of days

Answer:

10$

Step-by-step explanation:

AnswerAnwser key

Step-by-step explanation:

Answer:

1) -6

2) -8

3) 125185623/1000000000 ( i didn't really understand this one but i hope i got it right)

4) 1

5) 0.94736842

6) 4/5 = 5/4

I can only do up to there for now .... sorry

but i can do the second part in a few mins.

Step-by-step explanation:

i really hope this is right....