What is the slope of the line

The expression JK||GI implies line JK and GI are parallel lines

The ratio of HK : KI is 3 : 1

A ratio is used to show the relationship between two related quantities

The given parameter is:

HJ : JG = 3 : 1

Given that JK||GI , then it means that:

HJ : JG = HK : KI

This gives

HK : KI = 3 : 1

Hence, the ratio of HK : KI is 3 : 1

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Answer:

8.75

Step-by-step explanation:

if a bottle of 150 vitamins is 5.28...then that of 250 vitamins

x is the value of a single vitamin, therefore

5.25- 150

x- 1

150x divide by 5.25=0.035

therefore 250*0.035= 8.75

Answer:

7n-13

Step-by-step explanation:

Simplify

4n+3(n-5)+2

4n+3n-15+2

Add The Numbers

4n+3n-15+2

4n+3n-13

Combine Like Terms

4n+3n-13

7n-13        Solution 7n-13

Answer:

huh....is there a problem

......are you good-?

Answer:

it should be |8| or just 8 because there can not be a negative in the absolute value sign. pretty sure but not 100%

Answer:

|8|

Step-by-step explanation:

that is your answer :D

Answer:

78.5ft^2

Step-by-step explanation:

calculations done on a calculator

Answer:

78.5

Step-by-step explanation:

4 x 2.5 = 10 ft

4.5 x 2.5 = 11.25

4.5 x 4 = 18

18 + 10 + 11.25 = 39.25

39.25 x 2 = 78.5

Answer: 2/5

Step-by-step explanation: 28/70 ÷ 12/12 = 2/5

The simplest form of the given fraction is 2 / 5

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given is a fraction, 28 / 70, we have to convert it into its simplest form,

28 / 70

= 2(14) / 5(14)

= 2 / 5

Hence, the simplest form of the given fraction is 2 / 5

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Answer:

so if they need 400 nc and they need 13 you need to multiply which is 5200 alr now same thing with the other 150 and they need 19 you get 2850 now all together you get that's 8050 hope this helped

Answer:

33/36 or 11/12

Step-by-step explanation:

Answer:

The "successful" rolls are 5 and 6. That's two out of six choices, so the probability is 2/6 or 1/3.

Step-by-step explanation:

Hope this helps!!! <3

Answer:

[tex]\huge\boxed{2}[/tex]

Step-by-step explanation:

In order to find the two consecutive numbers, we have to note that a consecutive number is one that is just after the previous.

Such: 4, 5, 6 are consecutive. 12, 69, 42 are not.

Therefore - we can represent our first number as [tex]x[/tex] and our second as [tex](x+1)[/tex].

Let's make an equation based on the problem.

"The sum of two consecutive integers"

"3 times their difference"

We can now set these equal to each other.

Let's solve for x.

Now we know that our first number is 1. Therefore, since our second number is one greater, our second number will be [tex]1+1=2[/tex].

The question asks for the larger number. 2 is larger than 1, therefore 2 is our answer.

Hope this helped!

Answer:

you would be undoing the FOIL process

Answer:

As a decimal : 27.833

As a fraction : 167/6

Step-by-step explanation:

26 + 22/12

=

26/1 + 22/12

=

26/1 + 11/6

=

156/6  + 11/6

156 + 11 / 6

=

167/6

or as a decimal 27.833

Hope this helps!

Answer:

a) The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) 48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Step-by-step explanation:

a) Construct the 95% CI for the proportion of people that watched Super Bowl.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

75 out of 140 watched the Super Bowl:

This means that [tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 - 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.4531[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 + 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.6183[/tex]

The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings

48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Step-by-step explanation:

step 1. I assume the question is which of the following equations is parallel to y = -3x + 4

step 2. parallel equation have identical slopes (m)

step 3. 6x + 2y = 15 or y = -3x + 15/2 (solve for y)

step 4. 3x - y = 7 or y = 3x - 7 (solve for y)

step 5. 2x - 3y = 6 or y = (2/3)x - 2 (solve for y)

step 6. x + 3y = 1 or y = (-1/3)x + 1/3

step 7. since y = mx + b we want m to be the same

step 8. the answer is A since they both have the same slope.

The minimum number of unique charms that must be available is 18

The given parameters are

Offers = minimum of 30000

Different charms, r = 9

Represent the minimum number of unique charms that must be available with n

So, we have the following combination equation

nCr = Total offers

Apply the combination formula

So, we have

n!/(r!(n- r)!) = Total offers

Substitute the known values in the above equation

n!/(9!(n- 9)!) >= 30000

Multiply through by 9!

So, we have

n!/(n- 9)! >= 10886400000

Next, we divide the left-hand side by (n - 9)!

So, we have

n x (n - 1) x ..... x (n-8) >= 10886400000

Next, we continue solving by trial by error

After several trials, we have:'

n = 18

To check:

18 x (18 - 1) x ..... x (18 - 8) >= 10886400000

17643225600 >= 10886400000 --- true

Assume n = 17, we have

17 x (17 - 1) x ..... x (17 - 8) >= 10886400000

8821612800 >= 10886400000 --- false

Hence, the minimum number of unique charms that must be available is 18

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Answer:

4/5

Step-by-step explanation:

there are 5 20s in 100 so 20 % is equal 1/5 so take 1/5 away and you get 4/5

Answer:

It's point Q

Step-by-step explanation:

It because sqrt(10) = 3.16227 so the nearset point is point Q.

Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

The angle of the right-angled triangle using trigonometric ratio is 34.84°.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right-angled triangle.

The hypotenuse side, h = 28

The perpendicular side, p =16

The trigonometric ratio that relates hypotenuse side and the  perpendicular side is sine θ.

[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]

⇒ [tex]Sine\theta = \frac{16}{28}[/tex]

⇒ [tex]Sine \theta=0.5714[/tex]

⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]

⇒ [tex]\theta = 34.84[/tex]

Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.

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Answer:

distance = 9.06 units

Step-by-step explanation:

x difference = -1

y difference = -9

using the Pythagorean theorem:

-1² + -9² = d²

d² = 1 + 81 = 82

d = 9.06

Answer:

The debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Step-by-step explanation:

The assignment of how much is owed to the responsible party is the major reason of a proration.

For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.

Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67

Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63

Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29

Therefore, the debit and credits for the tax proration will be as follows:

Debit seller for $483.29; and Credit buyer for $483.29.

Answer:

y = 14

Step-by-step explanation:

| y + 3 | = 17

simplify:

y + 3 = 17

subtract 3 on both sides:

y + 3 - 3 = 17 - 3

y = 14

Answer:

i need the picture

Step-by-step explanation:

To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.

Answer:

161.34

Step-by-step explanation:

Answer:

$166.66

Step-by-step explanation:

d33znuts

Answer:

1. A≈ 78.54

2. A≈201.06

Step-by-step explanation:

1) A=πr2=π·52≈78.53982

2)

A=1

4πd2=1

4·π·162≈201.06193

Answer:

4.8x10

Step-by-step explanation: