StarWatch Camping Site Charge per person: £5 per night Tent pitch: (ground surface) < 10 m² at £12 per night > 10 m² at £15 per night Special offer: For every 5 nights you stay, only pay for 4. Lila and Wassim are planning a stay at the StarWatch camping site. They will: ● share a tent between them, both stay for a total of 10 nights, • use a tent with a rectangular base measuring 2.5 by 4.2 metres. The holiday is just 9 weeks away and they each plan to save £12 per week from now until their holiday. Will they save enough money to cover all their camping site charges? If the answer is 'yes' say how much extra money they will save. You must show all your working.​

42 = 2(W+L)

21= (W+L)

L= 3+5W)

21= W +(3+5W)

21= 3+6W

21-3=6W

18=6W

W=18/6

=3

Answer:

w = PERIMETER/2 - LENGTH

w = 42/2 - (3+5w)

PS. I THINK THIS IS RIGHT. NOT TOO SURE, BUT MOST LIKELY.

Using Pythagorean theorem, the volume of the cylinder is 201.1 cubic units

To determine the volume of the cylinder, we have to find the height of the cylinder.

using Pythagoras theorem, we can find the height of the cylinder.

13² = 5² + x²

x² = 13² - 5²

x² = 144

x = √144

x = 12 units

The volume of a cylinder is given as

V = 1/3 πr²h

v = 1/3 * 3.14 * 4² * 12

v = 64π cubic units

v = 201.1 cubic units

Learn more on volume of cylinder here;

https://brainly.com/question/10390389

#SPJ1

Answer:

the answer would be $45

Step-by-step explanation:

The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.

The argument can be rewritten as:

Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)

Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)

The mood of the argument is IEO.

Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)

The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.

So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:

IEO - 1

Learn more about warmongers at: brainly.com/question/28860305

#SPJ11

Answer:

true, i feel ya.

Answer:

B and E are the only correct answers.

Step-by-step explanation:

The top can's diameter is 2 inches, so the radius is 1. First find the area of the circular end, pi * r^2, 3.14 * 1^2 = 3.14

Then multiply by the height  3.14 * 5 = 15.7 cubic inches

The middle can's diameter is 5 inches so the radius is 2.5.

3.14 * 2.5^2 = 3.14 x 6.25 = 19.625

Multiply by the height 19.625 * 3 = 58.875 cubic inches

The bottom can's diameter is 6 inches, so the radius is 3. 3.14 * 9 = 28.26

Multiply by the height 28.26 * 2 = 56.52 cubic inches

15.7 + 58.875 + 56.52 = 131.095

B and E are the only correct answers.

\( \sf2x + 3y = - 6 \\ \sf2x + 3 \times 0 = - 6 \\ \sf2x = - 6 \\ \boxed{ \tt x = - 3}\)

Answer:

A.

Step-by-step explanation:

You simplify the square root until you narrow it down to the square root of 5.

The quotient of expression of √40/√8 is √5 which is correct option (A).

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given expression as :

⇒ √40/√8

Factor of √40 = √8×√5

⇒ (√8√5)/√8

Cancel out of√8

⇒ √5

Hence, the quotient of expression of √40/√8 is √5.

Learn more about expression here:

brainly.com/question/13947055

#SPJ2

Step-by-step explanation:

We have,

l =5ft

b=2ft

h=3ft

\(volume(v) = l \times b \times h\)

v = (l*b*h)

v = (5*2*3)ft

v = (30)ft

.•. v = 30ft

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

Wrong

Step-by-step explanation:

Let cost of Albert's fuel be x.

When cost of fuel rises by 10% :

When consumption is reduced by 10% :

So clearly there is a 1% change in expenditure. Hence, Albert's claim is wrong.

Answer:

Albert is wrong -- explanation below

Step-by-step explanation:

Albert's expenditure "C" on fuel at any point in time is the product of the unit price, "p", and the amount of fuel purchased, "n".

In an equation form, \(C=pn\).

Looking at some time before the changes, let's denote the unit price, the amount of fuel, and the expenditure with subscripts "1" to denote specific values at time 1, before the changes.

\(C_1 = p_1 n_1\)

After the changes, note that p1 increased by 10%, and amount of fuel decreased by 10%.

Understanding changing percentages

For values that stay the same, we would multiply by 100% (or 1.00), since multiplying by 1 doesn't change the value.

For a 10% increase, we need 100%+10% which equals 110% or 1.10

For a 10% decrease, we need 100%-10% which equals 90% or 0.90

So, the new prices and amounts and costs at some later time, time 2, are given by \(C_2 = p_2 n_2\), where \(p_2 = 1.10p_1\) and \(n_2 = 0.90n_1\).

Substituting:

\(C_2 = p_2 n_2\)

\(C_2 = (1.10p_1) (0.90n_1)\)

\(C_2 = 0.99 p_1 n_1\)

But remember that \(C_1 = p_1 n_1\), so

\(C_2 = 0.99 C_1\)

In other words, the next expenditure is 99% as much as (or 1% less than) the old expenditure.

Thus, Albert is incorrect to state that there was NO change in his expenditure.

The monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

To calculate the monthly mortgage payment, we can use the formula for calculating the fixed monthly payment for a fully amortizing loan. The formula is: M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly mortgage payment

P = Principal balance

r = Monthly interest rate (annual interest rate divided by 12 and converted to a decimal)

n = Total number of monthly payments (loan term multiplied by 12)

Plugging in the given values into the formula:

P = $100,000

r = 0.05/12 (5% annual interest rate divided by 12 months)

n = 30 years * 12 (loan term converted to months)

M = 100,000 * (0.004166667 * (1 + 0.004166667)^(3012)) / ((1 + 0.004166667)^(3012) - 1)

M ≈ $536.82

Therefore, the monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

To know more about Interest Rate here:

https://brainly.com/question/31513017

#SPJ11

Answer:

breadth = 3.5 m

Step-by-step explanation:

length = 15.6 m

Area of rectangle = 54.6 sqm

breadth = \(\frac{Area}{length}\)

             \(= \frac{54.6}{15.6}\\\\= \frac{54.6*10}{15.6*10}\\\\=\frac{546}{156}\\\\= 3.5\)

Answer:

Elena's points = 14

Kiran's points = 23

Step-by-step explanation:

Let p = Elena's points

p + 9 = Kiran's points

2p = p + 9 + 5

2p = p + 14

p = 14 = Elena's points

     14 + 9 = 23 = Kiran's points

If Kiran scores 5 more points, he would have 28 points which is twice Elena's 14 points  

x - intercept is at ( 1, 0 ) graph intersect at x = 1 .

What are intercepts?

Domain - values of x on  x -axis taken by function

                - ( 0,5 )

Range = values of y on  y -axis taken by function

          = (-  ∞ , 2 )

           = ( as, x ⇒ 0 then graph goes below

b) x - intercept is at ( 1, 0 ) graph intersect at x = 1

          no y - intercept is there .

c) graph is not symmetric .

Learn more about intercepts

brainly.com/question/14180189

#SPJ13

The model for the knowledge gain (v) as a function of the qualitative variable, homework assistance group is: v = β0 + β1G1 + β2G2 + ɛ, where G1, G2, and G3 are indicator variables for the groups receiving the completed solution, check figures, and no help respectively.

B's in the model represent the intercept (β0) and the differences in mean knowledge gain between the groups receiving completed solution (β1) and check figures (β2) compared to the group receiving no help.

The proposed model is a multiple linear regression model, where the dependent variable is the knowledge gain and the independent variable is the homework assistance group. The model includes three indicator variables to represent the three groups. The intercept (β0) represents the mean knowledge gain for the group that received no help.

The coefficients β1 and β2 represent the differences in mean knowledge gain between the groups receiving the completed solution and check figures respectively, compared to the group receiving no help.

The error term is represented by ɛ. This model allows us to compare the effectiveness of the different homework assistance methods on the knowledge gain of the accounting students.

For more questions like Regression click the link below:

https://brainly.com/question/28178214

#SPJ11

Answer:

Below

Step-by-step explanation:

a^2 + b^2 = c^2       subtract  a^2 from both sides

b^2 =  c^2 - a^2    

   take the positive sqrt of both sides ( since you can't have a negative length)

b = sqrt (c^2 - a^2)    

Answer:

9.C DEFAULT

Step-by-step explanation:

Unta makatabang ko sa inyuha kay mark this to brainliest

Answer:

Magnitude is 5

Step-by-step explanation:

Using the formula for calculating the distance between two points expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the coordinates  (3,5) and (-1,2)

D = √(2-5)²+(-1-3)²

D = √(-3)²+(-4)²

D = √9+16

D = √25

D = 5

Hence the magnitude is 5

Answer:

idek this is to hard for me

Part I: Zachary's down payment will be $31.25.

Part II: Zachary will have $93.75 left to pay after making his down payment.

Part III: Zachary will have to make 6 monthly payments.

Part IV: Zachary should make his first monthly payment in June.

Part 1: The down payment will be 25% of the total cost of the Mother's Day present, which is $125.

Down payment = 25% of $125

Down payment = 0.25 x $125

Down payment = $31.25

Therefore, Zachary's down payment will be $31.25.

Part II: After making the down payment, Zachary will have to pay the remaining amount.

Remaining amount = Total cost - Down payment

Remaining amount = $125 - $31.25

Remaining amount = $93.75

Zachary will have $93.75 left to pay after making his down payment.

Part III: Not including the down payment, Zachary will have to make monthly payments.

To calculate the number of monthly payments, we need to divide the remaining amount by the monthly payment amount.

Number of monthly payments = Remaining amount / Monthly payment amount

Number of monthly payments = $93.75 / $18

Number of monthly payments = 5.208333...

Since we cannot have a fraction of a payment, we round up to the nearest whole number.

Zachary will have to make 6 monthly payments.

Part IV: Zachary should make his first monthly payment at the beginning of the next month after the down payment.

Assuming the down payment is made in May, and the holiday falls on the second Sunday of May, Zachary should make his first monthly payment at the beginning of June.

Therefore, Zachary should make his first monthly payment in June.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ1

The missing information for the SAS congruence theorem is given as follows:

B. SU = JL.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The congruent angles for this problem are given as follows:

<S and <J.

Hence the proportional side lengths are given as follows:

More can be learned about congruence theorems at brainly.com/question/3168048

#SPJ1

Solution

- The question would like us to solve the following:

- The solution is given below:

- Now, we can factorize the expression as follows:

- Now, we need to decide where the solution region of the inequality is. The possible solution regions are

- Thus, the solution to the inequality is:

Final Answer

The solution to the inequality is:

Answer:

yea but where is the problem ?????

Step-by-step explanation:

Therefore, the dimensions of the parking lot can be 32 m × 24 m or 24 m × 32 m.

Let's represent the dimensions of the rectangular parking lot as 'l' and 'w.' Therefore, the perimeter of the parking lot can be expressed as:Perimeter, P = 2l + 2w

We are given the perimeter of the parking lot as 112.

Therefore,112 = 2l + 2w

Now, let's solve for l in terms of w

112 - 2w = 2l

56 - w = l  

l = 56 - w

Now, let's represent the area of the parking lot as 'A'.A = lw 768 = l w 768 = (56 - w)w768 = 56w - w²0 = w² - 56w + 768 To solve the above quadratic equation, we will use the quadratic formula:

x = (-b ± √(b² - 4ac))/2a

On substituting the given values in the above formula, we get:

w = 24 or w = 32If w = 24, then l = 56 - 24 = 32If w = 32, then l = 56 - 32 = 24

To know more about perimeter:

https://brainly.com/question/7486523

#SPJ11

A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.

The test statistic can be calculated as:

t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))

where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:

Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))

where s1 and s2 are the sample standard deviations.

Plugging in the values from the table, we get:

t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21

Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.

Plugging in the values from the table, we get:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)

= 0.56 ± 0.62

Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.

Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

To learn more about null hypothesis from the given link:

brainly.com/question/28920252

#SPJ4

The length of each side of the octagon is 6 cm

It is a polygon with eight sides and eight angles. There are a total of 20 diagonals in it. All its interior angles sum up to 1080°.

Given that, a regular octagon has an area of 288 square centimeters and an apothem of 12 cm.

We need to find the side of the octagon,

We know that area of the octagon = 8/2 × side × apothem

Therefore,

288 = 8/2 × side × 12

side = 288 / 48

side = 6

Hence, the length of each side of the octagon is 6 cm

Learn more about octagons, click;

https://brainly.com/question/30327829

#SPJ1

Answer:

37.5%

Step-by-step explanation:

Area = (b1 + b2) * h / 2

Area = (1 + 2) * 0.4 / 2 = 0.6

Total area = 0.8 * 2 = 1.6

Percentage of observations between 0.4 and 0.8 = Area of trapezoid / Total area * 100%

= 0.6 / 1.6 * 100%

= 37.5%

Therefore, approximately 37.5% of observations fall between 0.4 and 0.8 on this density curve.

The intercept of the equation -2x -5y = 30 is -6

Given that,

-2x -5y = 30

convert the equation into intercept from of line.

The intercept of line is:

x/a + y/b =1                       ------------------------------------ (1)

where, a is x intercept and b is the y intercept

Dividing the equation with 30 on both side.

Then, -x/15 -y/6 = 1            ----------------------------------------- (2)

From the above equation , we get,

                b =-6

Therefore, y intercept of the equation is -6.

Learn more about Intercept:

https://brainly.com/question/14180189

#SPJ4