2 families go to the theatre. the p family of 2 adults and 3 children pay £46. the l family of 3 adults and 5 children pay £76. work out thecost of an adult ticket and child ticket.

Answer:

12x + 50 =210

Step-by-step explanation:

Given the data on the world problem, we know that one of our terms will be 12x because it says "each month" in the problem. If his mom is going to give him 50 dollars, and the Jordans cost 210, then we can write  a simple equation.

x = number of months it will take him

\(12x+50=210\)

Answer: 5.8=x

Step-by-step explanation:

$210=Price

$12=Each Month

$50=From Mom

120-50=70

70/12=5.8 Months

Green's Theorem relates a line integral around a simple closed curve to a double integral over the region enclosed by the curve. The value of the line integral along the given curve is zero.

Green's Theorem states that for a vector field F = (P, Q) with continuous partial derivatives defined on an open region R bounded by a positively oriented simple closed curve C, the line integral of F along C is equal to the double integral of the curl of F over the region R:

∫C F · dr = ∬R (curl F) · dA.

In this case, the given vector field is F = (4y³, -4x³), and the curve C is the circle x² + y² = 4. To apply Green's Theorem, we need to compute the curl of F: curl F = (∂Q/∂x - ∂P/∂y) = (-12x² - (-12x²)) = 0. Since the curl of F is zero, the line integral of F along the curve C is also zero:

∫C F · dr = ∬R (curl F) · dA = ∬R 0 · dA = 0.

Therefore, the value of the line integral along the given curve is zero.

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Answer:

The answer would be 78

Step-by-step explanation:

4 x 12 = 48

48 + 30 = 78

Therefore the answer is 78

Answer:

ten millions

Step-by-step explanation:

The benefit of internal data is that internal data is more reliable and easier to collect.

Internal data are unique facts and figures that originate directly from the systems of the business in the issue. Internal data is rarely accessible to or studyable by outside parties without the express consent of the corporate entity.

The success of the company's present processes can be seen through internal data. Internal data, which is gathered from sources like website KPIs and customer surveys, is a priceless resource for assessing company policies, goods and branding, and worker efficiency.

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Answer:

No, these ratios aren't proportional

Step-by-step explanation:

4:16 base ratio is 1:4

12:16 base ratio is 1:1.333333333

For a relationship to be proportional, the base ratios must be equal.

Answer:

The answer is 8 1/2 if simplified if not simplified the answer is 8 3/6

Step-by-step explanation:

You are supposed ti and the whole number 5 and 3 and you multipy 2 to the denominator and the numorator to make it 2/6 + 1/6 which then you and the numorators 2 and 1 to get 3 and you leave the denominator alone. Hope this helps.

Answer:

10%

Step-by-step explanation:

The computation of the percentage of bulbs that switched on incandescent is as follows;

Let us assume the incandescent be I

And, the fluorescent be F

Now the equation is

0.4I + 0.9F = 0.8 (I+F)

0.41I + 0.9F = 0.8I + 0.8F

So here

0.4I = 0.1F

Now the percentage would be for incandescent in the case of switched on is

= 0.4I ÷  0.8(I+F) × 100

= 0.1F ÷ 1F

= 10%

The number of months that tara can send her payments for the Loan is; 18 months

We are told that;

Tara has to pay $25 each month to pay the loan.

She has $ 450 in her account to pay the loan.

For us to find the number of months she can pay the loan, we will apply the unitary method as;

$25 she can pay in 1 month

The number of months to pay $1 is; 1/25 months

The number of months to pay $450 is; (1/25) * 450 = 18 months.

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Answer:

∠ACB = 72

Step-by-step explanation:

OAD is straight line.

∠DAB +  ∠OAB  = 180

142 + ∠OAB  = 180

          ∠OAB = 180 - 142

          ∠OAB =  38

ΔAOB is isosceles triangle. OA = OB = radius

∠OAB = ∠OBA = 38   {angles opposite to equal sides or equal}

In ΔAOB ,

∠OAB + ∠OBA + ∠AOB = 180   {Anlge sum property of triangle}

   38 + 38 + ∠AOB = 180

               76 + ∠AOB = 180

                       ∠AOB = 180 - 76

                       ∠AOB = 104

THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle

∠AOB =  2*∠ACB

∠ACB = ∠AOB/2

         = 104/2

∠ACB = 72

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D

Greetings from Brasil....

From Pythagoras we have

AB² = AC² + BC²

13² = 12² + X²

Answer:

5 cm

Step-by-step explanation:

Pythagoras theorem gives us:

\(hypotenuse^{2} = side^{2} + side^{2}\)

We know the hypotenuse is 13 cm.

We know one side is 12 cm.

\(13^{2} = 12^{2} + side^{2}\)

\(169= 144 + side^{2}\)

Subtracting 144 from both sides:

\(25 = side^{2}\)

Reversing the sides:

\(side^{2}=25\)

\(\sqrt{side^{2}}= \±\sqrt{25}\)

\(side = \±\sqrt{25}\)

\(side = \±5\)

Since a distance can't be negative:

\(side=5\)

The third side is 5 cm.

The 3.51% compounded quarterly investment is the better investment in terms of higher returns.

We need to compare the effective rates of return for both options in order to determine which investment is superior.

A) For the 3.38% accumulated semiannually, we can work out the successful rate utilizing the equation:

The effective rate is as follows: Effective Rate = (1 + (Annual Interest Rate / Number of Compounding Periods))  Number of Compounding Periods - 1 Annual Interest Rate = 3.38 percent Number of Compounding Periods = 2 (since it is compounded semiannually) Effective Rate = (1 + (0.0338 / 2)) 2 - 1

The 3.38% compounded semiannual investment has an effective rate of approximately 3.59%, which is calculated as follows: Effective Rate = (1 + 0.0169)2 - 1 Effective Rate  0.0359385 or 3.59% (rounded to two decimal places).

B) We can use the same formula to determine the effective rate for the quarterly compound interest rate of 3.51 percent:

Since it is compounded quarterly, there are four compounding periods, and the annual interest rate is 3.51 percent. The effective rate is equal to (1 + (0.0351 / 4))4 - 1.

The compounded quarterly investment at 3.51% has an effective rate of approximately 3.53%, which is calculated as follows: Effective Rate = (1 + 0.008775)4 - 1 Effective Rate  0.0353157 or 3.53% (rounded to two decimal places).

When we look at the effective rates, we can see that the compounded quarterly investment with a rate of 3.51 percent has a slightly higher effective rate (3.53%) than the compounded semiannual investment with a rate of 3.38 percent (3.59%). Consequently, the higher-return investment at 3.51 percent compounded quarterly is superior.

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Answer: 74.61 ft^3

Step-by-step explanation:

The given function is y=9500+55x, where x is in hours driven and y is in miles.

Therefore, the slope of the function is

The volume of the solid the region defined by the given curves must be rotated about the x-axis is V = \(\frac{384\pi }{5}\).

Given that,

The region defined by the given curves must be rotated about the x-axis to determine the solid's volume, which is y =6 -x², y =2.

We know that,

Take the equation of the curves about the x- axis

y =6 -x², y =2.

Substitute y = 2 in equation y = 6 - x²

2 = 6 - x²

-x² = 2-6

x² = 4

Taking square root on both sides

x = ±2

Now, volume formula is define by using washer method

V =  \(\pi \int\limits^a_b {[f(x)]^2 - [g(x)]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {[6-x^2]^2 - [2]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {(36 + x^4 - 12x^2 - 4}) \, dx\)

V = \(\pi \int\limits^2_{-2} {(x^4 - 12x^2 - 32)} \, dx\)

V = \(\pi( [\frac{x^5}{5}] - 12\times\frac{x^3}{3} -32x)^2_{-2}\)

V = \(\pi[( [\frac{2^5}{5}] - 12\times\frac{2^3}{3} -32(2))-([\frac{-2^5}{5}] - 12\times\frac{-2^3}{3} -32(-2))]\)

V = \(\pi[( [\frac{32}{5}] - 4 \times 8 -64)-( [\frac{-32}{5}] - 4\times(-8) +64)]\)

V = \(\pi[( [\frac{32}{5}] - 32 -64)-( [\frac{-32}{5}] +32 +64)]\)

V = \(\pi( [\frac{384}{5}] )\)

V = \(\frac{384\pi }{5}\)

Therefore, The volume of the solid is V = \(\frac{384\pi }{5}\)

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The approximate distance, in feet, between Padma and the bear will be 75.2 feet. Then the correct option is B.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

James and Padma are on inverse sides of a 100-broad gulch. James sees a bear at a point of discouragement of 45 degrees. Padma sees a similar bear at a point of discouragement of 65 degrees.

Let 'x' be the horizontal distance from bear to Padma. Then the equation is given as,

(tan 45°) (100 - x) = (tan 65°) x

100 - x = 2.1445x

100 = 3.1445x

x = 31.80 feet

Then the approximate distance, in feet, between Padma and the bear will be given as,

cos 65° = 31.80 / d

d = 75.2487

d ≈ 75.2 feet

The approximate distance will be 75.2 feet. Then the correct option is B.

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Answer:

15 lbs total

1 canister - 3 lbs

lion has already consumed 9 pounds, "3 x 3 canisters of food"

15 - 9 = 6

6/3 = 2

the person needs to feed the lion 2 more canister

ANSWER IS 2

Step-by-step explanation:

Answer:

2

:) hope it helped!

When given a function f defined as f(x) = ax + b, where a and b are constants, and f(3) = 10 and f(8) = 12, the values of a and b are 0.4 and 0.8, solved using a system of equations. So the right answer is O a = 0.4, b = 8.8.

The values of a and b can be determined as follows:

f(3) = 10 implies that 10 = 3a + bf(8) = 12 implies that 12 = 8a + b

We can solve this system of equations to get the values of a and b.

One way to do this is to use elimination: We can eliminate b by subtracting the first equation from the second equation: 12 - 10 = (8a + b) - (3a + b)2 = 5a

Solving for a, we get a = 2/5.

Substituting this value of a into the first equation, we can solve for b:10 = 3a + bb = 10 - 3a

Substituting the value of a = 2/5, we get: b = 10 - 3(2/5)b = 10 - 6/5b = 44/5

Therefore, the values of a and b are: a = 2/5 and b = 44/5.

The correct answer is: a = 0.4, b = 8.8.

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The equation that gives the length of the sidewalk in terms of x is:

L = 2*(300ft - 2x)

The sidewalk will have the same length as the perimeter of the parking lot.

But we take it on the outer rim of the parking lot or in the rectangle that does not include the parking lot?

We can take it halfway, if the sidewalk measures x, then halfway is equivalent to x/2.

This rectangle will measure:

(100ft - x/2 - x/2) by (250ft - x/2 - x/2)

We subtract it two times because the sidewalks is around all the perimeter (so from the two lengths and two widths we need to remove it).

Remember that for a rectangle of length L and width W, the perimeter is:

P = 2*(W + L)

Then in this case the length of the sidewalk is:

L = 2*(100ft - x/2 - x/2 + 250ft - x/2 - x/2)

L = 2*(300ft - 2x)

This equation gives the length of the sidewalk in terms of x.

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Given the function defined above, The correct option is (Option C). That is, there is only one solution where fx(x,y)=0 and fy(x,y)=​0, when x=enter your response here and y=enter your response here.​(Type integers or simplified​ fractions.)

fx(x,y) = 2x² + 9y²  + 6xy + 36x-6

fx (x,y) = 0

⇒ 4x + 6y + 36 = 0 ......................1

fy (x,y) = 0

⇒ 18y + 6x = 0

⇒ 6x + 18 y = 0 .............................2

From Eqn 1, 2x + 3y = -18

From Equn 2, x + 3y = 0

Subtract, x = -18

Hence; 3y + x = 0

⇒ 3y - 18 = 0

⇒ y = 6

Hence, it is right to state that Option C is the right option if Fx = 0; and Fy = 0

\(\boxed{X= -18; Y = 6}\)

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Full Question:

For the function defined as​ follows, find all values of x and y such that both fx(x,y)=0 and fy(x,y)=0. f(x,y)=2x^2+9y^2+6xy+36x−6

Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.

A. There are two solutions where fx(x,y)=0 and fy(x,y)=​0, in order from increasing x​ values, when x=enter your response here and y=enter your response here and x=enter your response here and y=enter your response here. ​(Type integers or simplified​fractions.)

B. There are three solutions where fx(x,y)=0 and fy(x,y)=​0, in order from increasing x​ values, when x=enter your response here and y=enter your response here and x=enter your response here and y=enter your response here and x=enter your response here and y=enter your response here. ​(Type integers or simplified​fractions.)

C. There is only one solution where fx(x,y)=0 and fy(x,y)=​0, when x=enter your response here and y=enter your response here.​(Type integers or simplified​ fractions.)

D. There are no solutions where fx(x,y)=0 and fy(x,y)=0.

Answer:

h=15 m

Step-by-step explanation:

the formula for figuring out triangle side lengths is called the pythagorean theorem. it says a^2+b^2=c^2. c is always the hypotenuese of the triangle. we are trying to find he height not the hypotenuese so we say c^2-b^2=a^2.

17^2-8^2=h

289-64=225

h= the square root of 225

h= 15 m

Answer:

100 degrees

Step-by-step explanation:

Based on the simulation results and using a significance level of 0.10, Lucy should fail to reject the alternative hypothesis, Ha: p < 50%.

This means that there is convincing evidence to support Lucy's claim that the proportion of customers who will ask for a straw is less than 50%.

The P-value of 0.0733 is less than the significance level of 0.10, which indicates that the probability of obtaining the observed result or one more extreme assuming the null hypothesis is true is low. Therefore, Lucy can reject the null hypothesis, H0: p = 50%, and conclude that there is evidence to support her belief that less than half of the customers will ask for a straw.

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The probability of landing in any yellow region is the area of the yellow region divided by the total area of the square, which is (π + 2) / 4. This is the exact probability.

To find the probability of landing in any yellow region of the square, we need to calculate the area of the yellow regions and divide it by the total area of the square.

Let's consider one of the quarters of the square, which is symmetrical. The yellow region consists of a quarter of a circle with radius 1 unit, and a right-angled triangle with sides of length 1 unit.

The area of the quarter circle is (1/4)π\(r^2\) = (1/4)π(\(1^2\)) = π/4.

The area of the right-angled triangle is (1/2) \(\times\)1 \(\times\)1 = 1/2.

Therefore, the total area of the yellow region in one-quarter of the square is (π/4) + (1/2) = (π + 2)/4.

Since the square has four identical quarters, the total area of the yellow region in the entire square is 4 \(\times\)[(π + 2)/4] = π + 2.

The probability of landing in any yellow region is the area of the yellow region divided by the total area of the square, which is (π + 2) / 4. This is the exact probability.

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5 (l) and 25 (ml)

HOPED I HELPEDDD

Answer:

5t

Step-by-step explanation:

Step 1:

- 5( t^5)²/ - 5t^9      Equation

Step 2:

- 5t^10 / - 5t^9        Multiply

Answer:

5t         Subtract and Divide

Hope This Helps :)

Answer:

5t remember sumbtract and divide braine

Step-by-step explanation:

Step 1:

- 5( t^5)²/ - 5t^9      Equation

Step 2:

- 5t^10 / - 5t^9        Multiply

Answer:

length is 36

Step-by-step explanation:

perimeter=2L+2W

85 percent ia d.(4/7,2).