can you help me with this I need it done by tomorrow thank you

Answer:

The adult tickets cost £17.00 and child tickets cost £9.00

Step-by-step explanation:

2a + 3c = 61

2a = 61 - 3c

a = 30.5 - 1.5c

3(30.5 - 1.5c) + 5c = 96

91.5 - 4.5c + 5c = 96

91.5 + 0.5c = 96

0.5c = 4.5

c = 9

a = 30.5 - 1.5c

a = 17

The adult tickets cost £17.00 and child tickets cost £9.00

Answer:

did you use google.if not use it it is good to use.

Answer:

7

Step-by-step explanation:

plug in m and n

m = 5

n = 3

so...

2(5) - (3)

10 - 3

7

Answer: 2 * m(10) - n(3) = 17

Step-by-step explanation:

2 times 10 gives you 20 and minus 3 would give you 17.

Hope this Helps! ;)

Answer:

9 students are boys.

Step-by-step explanation:

60/100 x 15 = total number of boys

=> 900/100 = total number of boys

=> 9 = total number of boys

Therefore, 9 students are boys.

Hoped this helped.

The 50th term is 290.

It is a sequence where there is a common difference between each consecutive term.

Example:

12, 14, 16, 18, 20 is an arithmetic sequence.

We have,

-4, 2, 8, 14,

This is an arithmetic sequence.

First term = a = - 4

Common difference.

d = 2 - (-4) = 6

d = 8 - 2 = 6

Now,

The nth term = a + (n -1)d

So,

n = 50

a = -4

d = 6

50th term.

= -4 + (50 - 1) 6

= - 4 + 49 x 6

= - 4 + 294

= 290

Thus,

The 50th term is 290.

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The complete question:

What is the 50th term of the sequence that begins −4, 2, 8, 14, ...?

The amount of money company B charges more for x miles than company A is 4¢

let

Number of miles= x

Company A:

35.50 + 9x

This means company A charges 9¢ per mile

Company B:

55.50 + 13x

This means company B charges 13¢ per mile

The amount of money company B charges more for x miles than Company A = 13¢ - 9¢

= 4¢

Therefore, company B charges 4¢ more than company A for x miles.

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F; T; T; T; F; T; F; F;T; T. The rate of exchange between certain future dollars and current dollars is known as the forward exchange rate, not the pure rate of interest.

This statement accurately describes the concept of an investment, including the factors that compensate the investor. A dollar received today is worth more than the same dollar received in the future due to the time value of money. The three components mentioned (nominal interest rate, inflation premium, and risk premium) are indeed the components of the required rate of return. Financial intermediaries are not specifically related to primary capital markets. They facilitate transactions between savers and borrowers but may operate in various markets. Diversification with foreign securities can indeed help reduce portfolio risk by spreading exposure to different markets.

The total domestic return on German bonds is not the return experienced by a U.S. investor, as it would include exchange rate effects. A negative exchange rate effect for Japanese bonds would mean that the domestic rate of return is lower than the U.S. dollar return, not greater. The gifting phase and the spending phase can indeed be concurrent, such as when gifts are given for specific expenses. Long-term, high-priority goals often include working towards financial independence as a key objective.

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The unit price of the pairs of gloves is $6.39 per pair.

A unit rate is a rate that has a denominator of 1. It is a rate in which the second quantity in the comparison is 1 unit.

To find the unit price of the pairs of gloves, we need to divide the total cost by the number of pairs of gloves.

If 6 pairs of insulated gloves cost $38.34, then the cost of 1 pair of gloves is:

$38.34 ÷ 6 = $6.39 per pair

Hence, the unit price of the pairs of gloves is $6.39 per pair.

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Answer:

Step-by-step explanation:

Answer: A=38.48

Step-by-step explanation:

A=πr^2

7/2=3.5

3.5x3.5=12.25

12.25π

38.48

Hope this helps! :)

If Alice has $50 and spends 4/5 of her money, she spends $40.

A fraction is a mathematical expression that represents a part of a whole or a ratio between two quantities. Fractions are commonly represented using two numbers separated by a horizontal line, where the top number is called the numerator and the bottom number is called the denominator.

Alice spends 4/5 of her money, which is equivalent to 0.8 of her money.

To find out how much Alice spends, we can multiply her total money ($50) by 0.8

= $50 x 0.8

Multiply the numbers

= $40

Therefore, Alice spends $40.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

Alice has $50 and spends 4/5 of her money. How much does Alice spend?

The answer is the stratified sample assures that the opinions of employees from both locations will be represented..

The survey results will accurately reflect the opinions of both urban and rural employees if you choose this option. By soliciting feedback from employees in both regions, it will be possible to ensure that any policy based on the results of this survey not only represents the interests of urban employees, who make up the bulk of the workforce, but also those of rural employees.

Option B is untrue since a stratified sample will cost more to implement than a straightforward random sample and won't always result in financial savings.

Option C does not applicable because it is just a supposition without any supporting data.

Choice D is False, since a stratified sample in this situation produces results that are more typical of the store's employees from both locations than a random sample.

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Check the picture below.

so by the "inscribed angle theorem" that means "c" is half of 70°, and by Thales Theorem "a" is a right-angle, btw that can also be derived by the "inscribed angle theorem", that makes angles "b" and "c" complementary angles.

The volume of the cylinder can be determined by using the formula V = πr^2h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder.

The volume of a cylinder can be calculated by multiplying the area of the base (which is a circle) by the height of the cylinder. The formula for the volume of a cylinder is V = πr^2h, where V represents the volume, π is a constant that is approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder.

To find the volume of each given cylinder, we can use the formula and substitute the given values. For the first cylinder with a volume of 31.4 cubic units, we can rearrange the formula to solve for the radius: r = √(V/πh). By substituting the values V = 31.4 cubic units and h = 1 unit, we can calculate the radius.

For the second cylinder with a volume of 62.8 cubic units, the same formula can be used by substituting V = 62.8 cubic units and h = 1 unit. For the third cylinder with a volume of 157.1 cubic units, we can calculate the radius by substituting V = 157.1 cubic units and h = 1 unit. For the fourth cylinder with a volume of 314.2 cubic units, the same formula can be used by substituting V = 314.2 cubic units and h = 1 unit.

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Answer:

1) Nikhil 16 years & Mae 4 years

Step-by-step explanation:

x = 4y {equation 1}

Hence, x - 4y = 0 { equation 2}

x = 8 + 2y {equation 3}

Then, x - 2y = 8 { equation 4}

{equation 4-2}

x -x -2y - ( - 4y) = 8 -0

-2y +4y = 8

2y = 8

2 2

y = 4

By substituting { equation 1}

x = 4y

x = 4 × 4

= 16//

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Answer:2>x>−3

Step-by-step explanation: Hope this helps

The 95%-confidence interval for the percentage of students at UMass Boston who own a dog or cat is  (30.6% , 39.0%) .

In the question ,

it is given that ,

the number of students in the sample is (n) = 500  ,

percent of students that have a dog or cat is (p) = 34.8% = 0.348 ,

For 95% confidence interval for proportion , the Z  critical value is

Z = 1.96 ,

So , the 95% confidence interval can be calculated using the formula ,

= (p ± Z*√(1-p)/n)

= (0.348 ± 1.96*√(1 - 0.348)/500)

Simplifying further ,

we get ,

= (0.348 ± 0.042)

= (0.348-0.042 , 0.348+0.042)

= (0.306 , 0.390)

= (30.6% , 39.0%)

Therefore , the 95% confidence interval is (30.6% , 39.0%)  .

The given question is incomplete , the complete question is

A simple random sample of 500 students at UMass Boston is taken to estimate the percentage of all students at the university who own a dog or cat. of the students in the sample, 34.8% have a dog or cat . Find a 95%-confidence interval for the percentage of students at UMass Boston who own a dog or cat  is ?

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Answer:  

≈

17

%

Explanation:

A sum of 7 can be achieved the following ways.

5 and 2

2 and 5

4 and 3

3 and 4

6 and 1

1 and 6

There are

6/2

=

3/6

possible outcomes and 6 ways to obtain the sum of 7 so

6 3/6

≈

17

%

Answer:

A- 3x2= 6

6 divided by 2 is 3

B- flip it around with division first

Step-by-step explanation:

The most specific name for the figure in the image is a  Rectangle. Option B

This is further explained below.

Generally, According to the principles of Euclidean geometry, a Rectangle is considered to be a regular quadrilateral since it has four sides of equal length amongst opp two sides

Another way to describe it is as a rectangle with two neighboring sides that have the same length.

The term coordinate is pronounced exactly the same as o-ordinate. When used as an adjective, these phrases might signify to have the same status or rank, to have something to do with coordination, or to have something to do with an intersection of indices.

In conclusion, A Rectangle is the most accurate description of the shape that can be seen in the picture. Alternative B

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Answer:

12/1 times 1/8 = 1.5

Step-by-step explanation:

You multiply 12 by 1 to get 12, then divide 12 by 8 to get 1.5

Answer:

The population of town A = 18,000

The population of town B = 15,000

The population of town C = 20,000

Step-by-step explanation:

Given;

A:B = 6:5

B:C = 3:4

total population = 53,000

A + B + C = 53,000

\(\frac{A}{B} = \frac{6}{5} \\\\A = \frac{6B}{5} \\\\\Also;\\\\\frac{B}{C} = \frac{3}{4} \\\\C = \frac{4B}{3} \\\\then;\\\\\frac{6B}{5} +B+ \frac{4B}{3} = 53,000\\\\multiply \ through \ by \ "15"\\\\18B + 15B + 20B = 795,000\\\\53B = 795,000\\\\B = \frac{795,000}{53} \\\\B = 15,000\)

Now solve for A and C;

\(A = \frac{6 \times 15,000}{5} = 18,000\\\\C = \frac{4 \times 15,000}{3} = 20,000\)

Answer:

- 4.2x - 6y + 3.6

Step-by-step explanation:

- 2(2.1x + 3y - 1.8)

- 4.2x - 6y + 3.6

Answer:

-4.2x+6y-2.16

Step-by-step explanation:

multiply everything by -2

The commonly used name for the table used by statisticians that provides probabilities associated with different areas under a bell-shaped curve is the standard normal distribution table or the z-table.

The standard normal distribution table is a reference table that helps statisticians and researchers determine the probabilities associated with specific z-scores (standardized values) in a standard normal distribution. It provides the cumulative probabilities or areas under the curve to the left of various z-scores.

By looking up the corresponding z-score in the table, one can find the probability or area under the curve, which aids in various statistical calculations and hypothesis testing. The standard normal distribution table is a valuable tool for analyzing and interpreting data that follows a normal distribution.

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The length of wire per unit length is 8.168 cm.

Its function is to produce a regulated magnetic field through a coil twisted into a compact helix. The solenoid is a sort of electromagnet.

The magnetic field inside a solenoid is given by:

B = u*n*I

where B is the magnetic field, u is the permeability of free space, n is the number of turns per unit length, and I is the current.

The number of turns in a solenoid is given by:

N = n*L

where N is the total number of turns, L is the length of the solenoid, and n is the number of turns per unit length.

Therefore, the magnetic field can be written as:

B = u*N*I/L

Rearranging this equation, we get:

L = u*N*I/B

Substituting the given values, we get:

L = (4*pi*10⁻⁷)*(N=?) * (I=18.0 A) / (B=23.0 mT)

The number of turns per unit length is not given, so we cannot determine the total number of turns N. However, we can calculate the length of wire per unit length by using the formula for the circumference of a circle:

C = 2*pi*r

where r is the radius of the solenoid.

Substituting the given values, we get:

C = 2*pi*(d/2) = pi*d = 8.168 cm

Therefore, the length of wire per unit length is 8.168 cm.

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Answer:

It is the last answer

Step-by-step explanation:

The simplified value is 2.4 x - 4.4,

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form.

Given:

0.3(4x – 8) – 0.5(–2.4x + 4)

=1.2 x - 2.4 + 1.2x- 2

=2.4 x - 4.4

Hence, the simplified expression is 2.4 x - 4.4.

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Answer:

\(d_e =6.67ft\)

Step-by-step explanation:

From the question we are told that:

Weight of Roger \(W_r=120\ pounds\)

Distance of Roger from fulcrum \(d_r=6 ft\)

Weight of Ellen \(W_e=120\ pounds\)

Generally the equation for distance-weight relationship is mathematically given by

  \(d\alpha \frac{1}{W}\)

  \(\frac{d_1}{d_2} =\frac{W_2}{W_1}\)

  \(\frac{d_r}{d_e} =\frac{W_e}{W_r}\)

Therefore

 \(\frac{d_e}{d_r} =\frac{W_r}{W_e}\)

 \(d_e =\frac{W_r*d_r}{W_e}\)

 \(d_e =\frac{6*120}{108}\)

 \(d_e =6.67ft\)

Therefore the distance from the fulcrum she must sit to balance the seesaw is given as

\(d_e =6.67ft\)

1. The reason why 5N+4N does not really mean to have a resultant of 9N is resultant depends on angle and direction of the vectors.

2. a. resultant = 6N

b. resultant = 2N

The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together.

1. The resultant of two vectors depends on the direction and angle between the two vectors.

2. When two vector A and B are acting in thesame direction, their resultant is calculated as;

R = A + B

R = 4+2

= 6N

When two vectors are acting opposite in direction to each other , their resultant is calculated as;

R = A - B

R = 4 -2

= 2N

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Answer:

0.0417 unit^2.

Step-by-step explanation:

First find the points at which the curves intersect

x = y - y^2

x = -3y^2

---> y - y^2 = -3y^2

--->  2y^2 + y = 0

--->  y(2y + 1)= 0

y = -0.5, 0.

At these values x = -0.75 and 0.

The points of intersection are (0, 0) and  (-0.75, -0.5)

The required area

   -0.5

=         ∫ -3y^2   -  ∫y - y^2

     0

=  [ -y^3 - (y^2/2 - y^3/3)]   between limits -0.5 and 0

=  [0.125 - ( 0.125 - (-0.125/3)]

=  -0.0417

We take the positive value 0.0417.

Answer:

Step-by-step explanation:

Part 1: Naive Gaussian Elimination

To solve the system of equations using the naive Gaussian elimination algorithm, we'll eliminate variables one by one.

Step 1: Write the augmented matrix for the system of equations:

[  1   5  -1 |  7 ]

[  2  -1   3 | 10 ]

[  3   4   2 |  4 ]

Step 2: Perform row operations to create zeros below the main diagonal:

R2 = R2 - 2R1

R3 = R3 - 3R1

The augmented matrix becomes:

[  1   5  -1 |  7 ]

[  0 -11   5 | -4 ]

[  0 -11   5 | -17 ]

Step 3: Perform row operations to create zeros above the main diagonal:

R3 = R3 - R2

The augmented matrix becomes:

[  1   5  -1 |   7 ]

[  0 -11   5 |  -4 ]

[  0   0   0 | -13 ]

Step 4: Solve for the variables:

From the last row, we have:

0 = -13

This indicates that the system of equations is inconsistent, and there is no solution.

Part 2: Scaled Partial Pivot

To solve the system of equations using the scaled partial pivot method, we'll use the same steps as in Part 1 but with an additional step to choose the pivot element based on scaling.

Step 1: Write the augmented matrix for the system of equations:

[  1   5  -1 |  7 ]

[  2  -1   3 | 10 ]

[  3   4   2 |  4 ]

Step 2: Determine the scaling factors for each row:

s1 = max(|1|, |5|, |-1|) = 5

s2 = max(|2|, |-1|, |3|) = 3

s3 = max(|3|, |4|, |2|) = 4

Step 3: Perform row operations to create zeros below the main diagonal, using the scaled pivot element:

R2 = R2 - (2/5) * R1

R3 = R3 - (3/5) * R1

The augmented matrix becomes:

[  1   5   -1 |  7 ]

[  0  -3.4 3.6 |  6.6 ]

[  0  -1.2 2.4 |  0.8 ]

Step 4: Perform row operations to create zeros above the main diagonal, using the scaled pivot element:

R3 = R3 - (1.2/3.4) * R2

The augmented matrix becomes:

[  1   5   -1 |  7 ]

[  0  -3.4 3.6 |  6.6 ]

[  0    0  1.53 | -1.51 ]

Step 5: Solve for the variables:

From the last row, we have:

1.53x3 = -1.51

x3 = -1.51 / 1.53

x3 ≈ -0.986

Substitute x3 = -0.986 into the second row:

-3.4x2 + 3.6(-0.986) = 6.6

-3.4x2 - 3.53 ≈ 6.6

-3.4x2 ≈ 10.13

x2 ≈ -2.98

Substitute x2 = -2.98 and x3 = -0.986 into the first row:

x1 + 5(-2.98) - (-0.986) ≈ 7

x1 - 14.9 + 0.986 ≈ 7

x1 ≈ 21.914

Therefore, the solution to the system of equations is approximately:

x1 ≈ 21.914

x2 ≈ -2.98

x3 ≈ -0.986

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