the sum of three times x and 33

Answer:

cost per unit of gas i.e y= 0.36

Step-by-step explanation:

Let cost per unit of electricity = x

and cost per unit of gas = y

The equations required will be:

[tex]600x+100y=390 ---- eq(1)\\400x+250y=326----eq(2)[/tex]

We need to find value of y i.e cost per unit of gas

Solving equations to find value of y

We will use elimination method

Multiply equation 1 by 4 and 2 by 6

[tex]2400x+400y=1560 ---- eq(1)\\2400x+1500y=1956----eq(2)[/tex]

Subtracting eq 1 from eq 2

[tex]2400x+1500y=1956----eq(2)\\2400x+400y=1560 ---- eq(1)\\- \ \ \ \ \ - \ \ \ \ \ \ \ \ \ \ -\\----------------\\1100y=396\\y=\frac{396}{1100}\\y=0.36[/tex]

Solving we get y=0.36

Putting value of y in eq(1) to find value of x

[tex]600x+100y=390\\600x+100(0.36)=390\\600x+36=390\\600x=390-36\\600x=354\\x=\frac{354}{600}\\x=0.59[/tex]

Value of x = 0.59

But we need to find only cost of unit of gas i.e y

So, cost per unit of gas i,e y= 0.36

Answer:

Mercantilism

Economic policy held that a nation's power was directly related to its wealth; manufactured goods to England and America needed favorable balance of trade, system could bring the colonies prosperity of the colonies didn't see it this.

Import

bring (goods or services) into a country from abroad for sale.

Navigation acts

1651 English government passed several laws to control colonial trade and then sure the colonies remain profitable, increased revenues for England and increased the cost of law-enforcement in America, meant more English involvement in colonial affairs

enumerated articles

pl (plural only) (historical) sugar, tobacco, cotton and indigo - the goods that the English colonies could export only to England in the 17th century.

Legislature

the legislative body of a country or state.

Indentured Servant

Historically, an indentured servant or indentured laborer was a man who took out a loan, most often to pay for the cost of his transportation to a job location: from Europe to North America, for example.

Export

Send (goods or services) to another country for sale.

Dominion of New England, English Bill of Rights.

The English Bill of Rights created a constitutional monarchy in England, meaning the king or queen acts as head of state but his or her powers are limited by law. Under this system, the monarchy couldn't rule without the consent of Parliament, and the people were given individual rights.

Step-by-step explanation:

Answer:

Which number u trynna flex bro

Step-by-step explanation:

lets go lets roll gogogogog

Answer:

=  [tex]-\sqrt{5} i[/tex]

Step-by-step explanation:

First, reorder the terms:

[tex]\sqrt{5} i[/tex]

Then, find the complex conjugate (a pure imaginary number is its opposite):

[tex]-\sqrt{5}i[/tex]

Answer:

(d) 9

Step-by-step explanation:

f(x) = 3x + 2

g(x) = - 2x + 1

g(f(x)) = - 2(3x + 2) + 1 = - 6x - 4 + 1 = - 6x - 3

g(f(-2)) = - 6(- 2) - 3 = 9

Answer:

the answer is 0 because both equations on either side cancel out thereby leaving in bare

Answer:

Step-by-step explanation:

Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)

Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)

tan^2A-cot^2A=tan^2A-cot^2A

L.H.S=R.H.S

Hence proved.

Answer:

-3 = 8v-9v

-3 = -1v

v = -3/-1

v = 3

ONE SOLUTION

Answer:

40

Step-by-step explanation:

Use this picture as a reference.

So, using remote angles theorem, which states that; the angle formed from the extension of a side in a triangle is equal to the sum of the two angles which it does not make contact with, within the triangle. One can conclude that :

m< BCD = m<B + m<A

substitute:

m<BCD = 80 + 25

Simplify:

m<BCD = 105

Since it is given that m< BCE is 50, then  one has to subtract m<BCE from m<BCD to get m<ECD

m<BCD - m<BCE = m<ECD

Subsitute:

105 - 50 = m<ECD

Simplify:

55 = m<ECD

Using the sum of angles in a triangle, which states that the sum of all the angles in a triangle is 180 degrees, one can say that:

m<D + m<ECD + m<E = 180

Substitute:

85 + 55 + m<E = 180

Simplify, inverse operations:

140 + m<E = 180

-40               -140

m<E = 40

Answer:

Slope= -0.5

Step-by-step explanation:

Answer:

1/2x

Step-by-step explanation:

You go down one step and run 2 steps

Answer:

= 0.25 g/cm3

Step-by-step explanation:

this is called density the grams per volume.

density = mass

               volume

             =   120g

                480cm3

  = 0.25 g/cm3

Answer: 0.96875

Step-by-step explanation:

Probability of obtaining at least one tail on a toss of coin 5 times ;

P(success) in a coin toss = 1/2 = 0.5

Using the binomial distribution formula :

P(x) = nCx * p^x * (1 - p)^(n-x)

P(at least one tail) = 1 - p(0 tails)

P( 0 tails) = 5C0 * 0.5^0 * 0.5^(5-0)

= 1 * 1 * 0.03125

= 0.03125

P(at leat 1 tail) = 1 - 0.03125

P(atleast 1 tail) = 0.96875

Answer: The answer is 384 if your question is 12x1/2x64

Answer:

D

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

I think B but I'm not sure

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

you're welcome <3

Answer:

donald trump can su*k my d*ck

Step-by-step explanation:

Answer:

its blurry I cant even see it

Step-by-step explanation:

Answer:

90% Confidence Interval = (5.532, 7.094)

Step-by-step explanation:

With a sample size of 14 cars, the average wait time is 6.313 minutes with a standard deviation of 1.6509 minutes. Construct a 90% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM. 1) (4.542, 8.084).2) (5.536, 7.09). 3) (-5.532, 7.094).4) (5.532, 7.094).5) (5.872, 6.754).

We are given the sample size = 14 cars

This sample size is small so instead of using z score , we would use the t score critical value

First we need to calculate our degree of freedom

Degrees of freedom = n - 1

= 14 - 1 = 13

The t score for 90% confidence interval with a degree of freedom of 13 =

= 1.771

Hence, Confidence Interval =

Mean ± t score × standard deviation/√n

= 6.313 ± 1.771 × 1.6509/√14

= 6.313 ± 1.771 × 0.4412215843

= 6.313 ± 0.7814034257

Confidence Interval

= 6.313 - 0.7814034257

= 5.5315965743

≈ 5.532

= 6.313 + 0.7814034257

= 7.0944034257

≈ 7.094

90% Confidence Interval = (5.532, 7.094)

Answer:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.

Step-by-step explanation:

Hope  his helps!

Answer:

20%

Step-by-step explanation:

5 divided by 25 multiplied by 100 will give you 20%.

I hope you understand

Answer:

6 quarters 2 dime 3 nickels

Step-by-step explanation:

Step-by-step explanation:

can you snap a picture for this question bcs i cant understand the question

Answer:

0.98 also 98%

Step-by-step explanation:

In this question we have the Lower limit to be 0.16

We have the Upper limit to be 0.24

Such that (0.16+0.24)/2 = 0.40/2 = 0.20

Standard deviation= √(0.2x0.8/545) this gives 0.017134

Next we get margin of error

Margin of error = 0.24-0.20 = 0.04

Z multiplied by sd =0.04

Such that

Z = 0.04/0.017134 =2.33

On this z score, the Corresponding level of confidence is 0.98

Which is 98%

Answer:

The second answer choice is the best one

Step-by-step explanation:

y=7/2x-3

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9

B)  16, -8, 4, -2, 1

C) -15, -18, -21.6, -25.92, -31.104

E) 625, 125, 25, 5, 1

==================================================

Explanation:

Part (A)

Divide each term over its previous term. If each result is the same, then we have a geometric sequence.

(term2)/(term1) = (-4)/(-2) = 2

(term3)/(term2) = (-6)/(-4) = 1.5

We can stop here since we got a different result.

This sequence is not geometric.

--------------------------------------

Part (B)

Same idea as part (A)

(term2)/(term1) = (-8)/16 = -0.5

(term3)/(term2) = 4/(-8) = -0.5

(term4)/(term3) = (-2)/4 = -0.5

(term5)/(term4) = 1/(-2) = -0.5

We get the same result each time. The common ratio is r = -1/2 = -0.5. This sequence is geometric.

--------------------------------------

Part (C)

(term2)/(term1) = (-18)/(-15) = 1.2

(term3)/(term2) = (-21.6)/(-18) = 1.2

(term4)/(term3) = (-25.92)/(-21.6) = 1.2

(term5)/(term4) = (-31.104)/(-25.92) = 1.2

This sequence is geometric since each result is the same. The common ratio is r = 1.2

note: 6/5 = 1.2

--------------------------------------

Part (D)

(term2)/(term1) = (10.5)/4 = 2.625

(term3)/(term2) = (17)/(10.5) = 1.619

We don't get the same result, so we can stop here. This sequence is not geometric.

--------------------------------------

Part (E)

(term2)/(term1) = (125)/(625) = 0.2

(term3)/(term2) = (25)/(125) = 0.2

(term4)/(term3) = (5)/(25) = 0.2

(term5)/(term4) = (1)/(5) = 0.2

The common ratio is r = 0.2 or r = 1/5

This sequence is geometric.

Answer:

C) -15, -18, -21.6, -25.92, -31.104

E) 625, 125, 25, 5, 1

Step-by-step explanation: