Carly wants to buy 10 litres of
paint and only wants to go to
one shop to buy it.

Home Stores sells 2 / tins of
paint for £4.40 each.

Paint Supplies sells 1 / tins of
paint for £3.10 each and it's 3 for

The DIY shop sells 2.5/tins of
paint for £7.10 each, and it's buy
3 get 1 free.

What is the cost of getting 10
litres from each shop?
Write down where Carly should

The interest obtained after 4 years from a loan of $7500 is = $750

The principal amount of the loan = $7500

The rate at which the interest is paid is = 2.5%

The time that it will take to pay the interest = 4 years

Using the formula for Simple interest;

SI= P×T×R/100

SI = 7500×4 × 2.5/100

SI= 75000/100

SI=$750

Therefore, the interest accrued on a $7500 loan with a 2.5% interest rate over 4 years is = $750

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Find total marbles:

8 + 15 + 17 = 40 total marbles.

There is 8 red, so picking red first would be 8/40, which can reduce to 1/5.

After taking 1 marble there would be 39 marbles left.

Picking blue would be 15/39, which reduces to 5/13

The probability of doing both is

1/5 x 5/13 = 5/65, which reduces to 1/13

The answer is B. 1/13

Hey there!

8(3x - 6) = 6(4x + 8)

8(3x) + 8(-6) = 6(4x) + 6(8)

24x - 48 = 24x + 48

SUBTRACT 24x to BOTH SIDES

24x - 48 - 24x = 24x + 48 - 24

SIMPLIFY IT!

NEW EQUATION: -48 = 48

ADD 48 to BOTH SIDES

-48 + 48 = 48 + 48

NEW EQUATION: 0 = 96

Thus this makes your equation has

NO SOLUTION.

Therefore, your answer is:

Option A. Because this is a false

statement, the equation has no solution.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The base length of the parallelogram found using the area formula is 4 units.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. A parallelogram has adjacent angles that add up to 180 degrees. 360 degrees is the sum of all interior angles.

A parallelogram's area is the area that it takes up in a two-dimensional plane. The parallelogram's area is calculated by multiplying the base length by the height.

Each shape's perimeter can be defined as either the entire length or total distance encircling the object. The entire distance between a parallelogram's boundaries is also known as the parallelogram's perimeter.

Given,

The area of the parallelogram A =36 sq. units

The height of the parallelogram  h = 9 units

We are asked to find the base length b.

Now the formula for the area of the parallelogram is:

A = b * h

36 = b * 9

b = 36/9 = 4 units.

Therefore the base length of the parallelogram, found using the area formula is 4 units.

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The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

5/2

Step-by-step explanation:

Slope is rise over run, or how far it goes in the y direction over how far it goes in the x direction. In this case, y increases by a value of 5 at the same time x is increasing by a value of 2. This makes the slope 5/2, and it is positive since the values are increasing. If there is a problem your stuck on like this try graphing the points, desmos has a good graphing calculator :)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The car uses gas at a rate of 26 miles per gallon.

Distance refers to the measurement of how far apart or how much space exists between two objects or points. It can be measured in various units such as meters, kilometers, feet, miles, etc., and can be calculated using different methods depending on the context and purpose of the measurement.

To find the rate at which Lucy's car uses gas, we need to divide the distance traveled by the amount of gas used.

First, we need to convert the mixed number of distance traveled to an improper fraction:

19 1/2 = (2 * 19 + 1) / 2 = 39/2

Now we can divide the distance traveled by the amount of gas used:

Rate = Distance traveled / Amount of gas used

Rate = (39/2) / (3/4)

Reciprocal:

Rate = (39/2) * (4/3)

We can simplify this expression by canceling out the factor of 2 in the numerator and the denominator:

Rate = 39 * 2 / 3 = 26

Therefore, the car uses gas at a rate of 26 miles per gallon.

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0.007, also known as the thousandths place in decimals.

Answer: A

Step-by-step explanation:

Answer:

See below for answers

Step-by-step explanation:

shape        radius               diameter

a                 1/2 cm                  1 cm

b                  1 cm                     2 cm

 c                 2 cm                     4 cm

 d                 1 cm                      2 cm        

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

2.98

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

true- a linear equationdetermines a line in the x-y plane.

Answer:

The Balina is faster than the Delfino.

Step-by-step explanation:

Divide the amount of miles covered by the amount of hours it took for each one.

For the Delfino:

57.5 / 5 = 11.5

For the Balina:

54 / 4.5 = 12

You're welcome T^T

The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).

Step-by-step explanation:

The number of pickups is 284.

and the number of cars is 142 more than that = 426.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Here, we have

Given: The ratio of pickups to cars sold at a dealership is 2 to 3. If the dealership sold 142 more cars than pickups in 1999

Let y = the number of cars.

x/y = 2/3.

The dealership sold 142 more cars than pickups.

We get y = x + 142

In the equation of x/y = 2/3, replace y with x + 142 to get:

x/(x+142) = 2/3

cross multiply to get:

3x = 2*(x+142)

simplify to get:

3x = 2x + 284

subtract 2x from both sides of the equation to get:

x = 284.

Hence,  the number of pickups is 284.

and the number of cars is 142 more than that = 426.

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We can determine the slope using the following expression:

Now, using the two points given, we have:

From this, we have that the slope(m) equals -1/5.

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer: \(7.39466666\)

Step-by-step explanation:

Setting \(x=2.2\) and \(n=3\),

\(e^{2.2} \approx \sum^{3}_{k=0} \frac{2.2^{k}}{k!}=\frac{2.2^0}{0!}+\frac{2.2^1}{1!}+\frac{2.2^2}{2!}+\frac{2.2^3}{3!} \approx 7.39466666\)

Answer:

7.39466667 (8 d.p.)

Step-by-step explanation:

We can approximate the value of eˣ for any x using the following sum formula:

\(\boxed{e^{x} \approx \displaystyle \sum^n_{k=0}\dfrac{x^k}{k!}}\)

To approximate \(e^{2.2}\) with n = 3, substitute x = 2.2 and n = 3 into the given sum formula:

\(e^{2.2} \approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\)

To calculate the sum, substitute k with each value from 0 to 3 and add the results together:

\(\begin{aligned}e^{2.2} &\approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\\\\&= \dfrac{2.2^0}{0!}+\dfrac{2.2^1}{1!}+\dfrac{2.2^2}{2!}+\dfrac{2.2^3}{3!}\\\\&= \dfrac{1}{1}+\dfrac{2.2}{1}+\dfrac{4.84}{2}+\dfrac{10.648}{6}\\\\&= 1+2.2+2.42+1.774666666...\\\\&=7.39466667\; \sf (8\;d.p.)\end{aligned}\)

Therefore, the approximate value of \(e^{2.2}\) is:

\(\large \textsf{$e^{2.2}$}=\boxed{7.39466667}\; \sf (8\;d.p.)}\)

Note: To obtain a more accurate approximate value, increase the value of n.

Answer: Let's call the portions that the second friend gets "x". Then, the third friend gets four times that amount, which is 4x. Finally, the first friend gets four times the third friend's portion, which is 4(4x) = 16x.

The sum of the portions is equal to the total prize money of $273,000, so:

x + 4x + 16x = 273000

21x = 273000

x = 13000

So, the second friend gets $13,000, the third friend gets four times that amount, which is $52,000, and the first friend gets four times the third friend's portion, which is $208,000.

Step-by-step explanation:

Answer:

x=14 and y=7

Step-by-step explanation:

This is a 30-60-90 triangle

So in terms of x it would be \(x-x\sqrt{3} -2x\)

If across the 60 is \(7\sqrt{3}\) then y would be 7 which is across the 30 degrees

And x would be 14 because 2(7)=14

The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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Answer:

A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.

B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.

Answer: The answer would be 4.9 :)

Step-by-step explanation:P=24.5cm

P=5a=5·4.9=24.5cm

=4.9

Answer:

35 people

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

Given that:

Reliability of each = 0.92

r = 0.92

1 - (1 - r)(1 - r) = 1 - (0.08)(0.08) = 1 - 0.0064 = 0.9936

Percentage improvement :

1 - (0.9936) / r

1 - (0.9936 / 0.92)

1 - 1.08

= - 0.08

= 0.08 / 100 = 8%