A delivery company has 18 vehicles in its fleet. it has 8 vans and 10 trucks All 18 vehicles are on the road every working day The company is reviewing its fuel expenses and therefore gathers some information about each type of vehicle VAN=> average distance travelled per day (in km) is 198 and its average distance travelled per litre is 9 TRUCK=>average distance travelled per day (in km) is 620 and its average distance travelled per litre is 6.2 All the vehicles use the same type of fuel at £1.29 per litre Use this information to work out the bill for 1 working day. You must show all of your working

Answer:

84

Step-by-step explanation:

Make a proportion

We know that 63 divide by a number has to equal 75%

63/x=75/100

Cross multiply

75x=6300

Divide by 75 on both sides

x=84

So , his deck has 84 wooden boards

Hope this helps! :)

Answer:

he had 84 wooden boards

Step-by-step explanation:

[tex]\frac{63}{75}[/tex] [tex]\frac{x}{100}[/tex]   =  6300÷ 75=84

Answer:

1200 cm^3

Step-by-step explanation:

i believe you multiply highxlengthxwidth

Answer:

1200 cm3

Step-by-step explanation:

The label it wants you to use on the answer kind of hints at how you need to find the volume of this cube. since it is cm3 it means you are going to multiply each of the numbers together to get the answer.

12x10x10=1200

cm x cm x cm = cm3

Put the two together and you get 1200 cm3

Answer: 0.908

Step-by-step explanation:

P(A | B) = P(A) + P(B) - P(A and B)

            = 0.7 + 0.86 - 0.652

            = 0.908

Hope this was helpful.

Brainliest please :P

Answer:

It is higher and more pointed

Step-by-step explanation:

Final answer:

The height of the triangle in relation to the height of the rectangle can vary, but proportionally, if Block B is twice the height of Block A, Block B's area change is also twice that of Block A. For squares, if a larger square has side lengths twice that of a smaller square, its area is four times greater. The area ratio between the two squares is 1:4.

Explanation:

The height of the triangle compared to the height of the rectangle can vary depending on the specific dimensions of each figure. If we refer to the rectangular faces of a prism (Block B) being proportionally taller than those of a smaller prism (Block A), we can use the ratio of their heights to determine the ratio of their areas. For example, if the height of Block B is twice that of Block A, then the change in the height of Block B would be twice that of Block A.

Considering a similar scenario with squares, if Marta has one square with a side length of 4 inches and a similar larger square with dimensions that are twice the first square, we would find the area of the larger square to be four times the area of the smaller square. This is because area is a function of the square of the side length (Area = side x side), so if the side length doubles, the area quadruples (2 x 2 = 4).

The ratio comparing the two areas of squares would be 1:4, meaning the larger square has an area four times greater than the smaller square.

Answer:

28 inches

Step-by-step explanation:

2 x 4=8

8-4=4

4 x 5 = 20

20+8=28

area of the x and w rectangle is 8

area of the y and z rectangle is 20

Answer:

no more than 53

Step-by-step explanation:

Answer:

no more than 53

Step-by-step explanation:

I can confirm this because I did it myself not because of the guy above me  

Given:

The circumference of the smaller is 30% of the circumference of the larger circle.

We need to determine the circumference of the larger circle.

Diameter of the larger circle:

The diameter of the smaller circle is 9 in.

Since, the circumference of the smaller is 30% of the circumference of the larger circle, we have;

[tex]S=0.3L[/tex]

where S is the circumference of the smaller circle and L is the circumference of the larger circule.

[tex]\pi(9)=(0.3)\pi d[/tex]

    [tex]9=0.3d[/tex]

  [tex]30=d[/tex]

Thus, the diameter of the larger circle is 30 inches.

Circumference of the larger circle:

The circumference of the larger circle is given by

[tex]C=\pi d[/tex]

[tex]C=3.14\times 30[/tex]

[tex]C=94.2[/tex]

Thus, the circumference of the larger circle is 94.2 inches.

The number 125 in the equation B = 12.5(125 - n) represents the point at which the electric bill would be $0 if the museum uses 125 solar panels. It means the bill decreases by $12.5 for the installation of each additional solar panel.

The best interpretation of the number 125 in the equation B = 12.5(125 - n) is that the monthly electricity bill for a museum decreases by $12.50 for each solar panel installed (option D). However, this question seems to mistakenly include $125 in the choices, where it should only refer to the number 125 in the equation. Nonetheless, the number 125 represents the baseline number of solar panels at which the electric bill would be $0. Therefore, for every solar panel used, the number of solar panels n is subtracted from 125, and the result is multiplied by $12.5 to find the monthly bill. This leads us to conclude that the electric bill decreases by 125 solar panels' worth of electricity savings for each additional solar panel added. Therefore, interpretation (A) is most accurate when we consider how the equation is structured.

Answer:last one

Step-by-step explanation:

an integer is a whole #...it cant be a fraction...it can be a negative # though

Answer:

–23, –7, 5, 9, 190

Step-by-step explanation:

Answer:

Step-by-step explanation:

We would apply the formula,

y = ab^t

Where

a represents the initial amount of substance.

t represents the decay time.

From the information given

a = 100

t = 12 hours

Since after 12 hours, the amount of substance reduces by 0.1, then

y = 0.1 × 100 = 10

Therefore

10 = 100 × b^12

Dividing through by 100, it becomes

0.1 = b^12

Raising both sides of the equation by 1/12, it becomes

0.1^(1/12) = b^12/12

b = 0.8

The equation becomes

y = 100(0.8)^t

Where t = n, the expression becomes

y = 100(0.8)^n

Final answer:

The correct expression representing the amount of a radioactive substance left after n days, with a 10% decrease every 12 hours, is 100(0.81)^n. The decay process is exponential, and we square the 12-hour decay factor to get the daily decay factor of 0.81.

Explanation:

To determine which expression represents the grams of a radioactive substance left n days from now, given that the substance decreases by 10% every 12 hours, we'll have to work with the concept of exponential decay in our calculations. Since the decay happens every 12 hours (which is half a day), we'll count the number of half-days there are in n days, which is 2n 12-hour periods.

Since the substance decreases by 10%, it retains 90% of its previous amount every 12 hours. In decimal form, this is a 0.9 multiplier. Thus, after each 12-hour period, we multiply the current amount by 0.9. To get the amount after n days, we raise 0.9 to the power of 2n, because there are 2n 12-hour periods in n days.

In mathematical terms, the amount left after n days can be represented as 100(0.9)^(2n). However, this option is not present in the given choices, so we have to look for an equivalent expression by simplifying or altering the base if needed. We can square 0.9 to get 0.81, which corresponds to the amount of substance left after a full day (24 hours). The correct expression representing the amount after n days is 100(0.81)^n, which is choice A.

Answer:

76545

Step-by-step explanation:

Given:

Given that the height of the pyramid is 12 units.

The base of the triangle is 8 units.

The height of the triangle is 6 units.

We need to determine the volume of the pyramid.

Area of the triangle:

The area of the triangle can be determined using the formula,

[tex]A=\frac{1}{2} bh[/tex]

where b is the base of the triangle and h is the height of the triangle.

Substituting the values, we get;

[tex]A=\frac{1}{2}(8)(6)[/tex]

[tex]A=\frac{1}{2}(48)[/tex]

[tex]A=24[/tex]

Thus, the area of the triangle is 24 square units.

Volume of the pyramid:

The volume of the pyramid can be determined using the formula,

[tex]V=\frac{1}{3}AH[/tex]

where A is the area of the triangle and H is the height of the pyramid.

Substituting the values, we get;

[tex]V=\frac{1}{3}(24)(12)[/tex]

[tex]V=\frac{1}{3}(288)[/tex]

[tex]V=96[/tex]

Thus, the volume of the pyramid is 96 cubic units.

Answer:

-1x + 3

Step-by-step explanation:

Answer:

the answer is 75.36cm but it can rounded off to 75.4cm

Step-by-step explanation:

so...circumference is equal to "2 pie radius"

since the diameter is 24 then the radius is 24 divided by 2 which is 12cm .

Answer:

Step-by-step explanation:

You are given    GALLONS     and   MILES

   you want to find MILES / GALLON

     so just put those numebrs in

         MILES / GALLON =  126 miles / 6 gallons = 21 m/g  (or 21 MPG)

Answer

Step-by-step explanation

what are the choices TwT

Answer:

-6(1+i)

Step-by-step explanation:

Let's open the bracket

(1-2i)-(7+4i)

Open the bracket first

(1-2i)-7-4i

1-2i-7-4i

Collect like terms

1-7-2i-4i

-6-6i

Let's factorise

-6(1+i)

So the final answer is

-6(1+i)

The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

Step-by-step explanation:

The equation can be framed as :

Let,

The equation is given as,

Total earnings = amount earned for 40 hours + amount for extra 8 hours.

⇒ x = 600 + 8y

Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

Answer:

5, 7, 9.

Step-by-step explanation:

they are all greater than 4 and odd

List the numbers that meet the condition: greater than four and odd

5,7,9

Given :

the set of whole numbers from 1 to 10, inclusive.

Lets write all the numbers from 1 to 10 inclusive

The numbers are 1,2,3,4,5,6,7,8,9,10

Now we write all the odd numbers between 1  and 10

1,3,5,7,9

Now we look at the numbers greater than 4 and odd

The numbers greater than 4  and odd are 5,7,9

List the numbers that meet the condition: greater than four and odd

5,7,9

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Answer:

Is possible

Step-by-step explanation:

It is possible to add and subtract fractions

Answer:

it is possible to add and subtract fractions

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Parallel lines have the same slope.

Answer:

1320

Step-by-step explanation:

This can be solved using something called a permutation. There are 12 possible swimmers that can be in first place. After that, there are 11 swimmers left to be in second place. Finally there are 10 swimmers left for third place. Multiplying these together, you get 12*11*10=1320 ways. Hope this helps!

Answer:

1728

Step-by-step explanation:twelve swimmers can go in each place at any given time. Multiply the possibilities for first, second, and third place to get the answer.

Answer:

you didn't upload the picture. But I think you should find the volume of the given groups and also find the volume of the biggest pyramid then divide the volume of the biggest pyramid by the volume of the group

Answer:

16

Step-by-step explanation:

simplify

2(9) - 2

18 - 2

16

The power of the girl is 24.5 Watts.

Given data:

The mass M = 25 kg, where the height of each step is 0.25m and the number of steps is 8.

To calculate the power of the girl:

Power = Work / Time

The work done is equal to the force applied multiplied by the distance covered.

Work = Force * Distance

The force applied is equal to the weight of the girl, which is given by:

Force = Mass * Gravity

Where gravity is approximately 9.8 m/s².

Force = 25 kg * 9.8 m/s² = 245 N

The distance covered is equal to the height of each step multiplied by the number of steps climbed.

Distance = Height * Number of Steps

Distance = 0.25 m/step * 8 steps = 2 m

Now, calculate the work:

Work = 245 N * 2 m = 490 J

Next, calculate the power by dividing the work by the time:

Power = 490 J / 20 s = 24.5 W

Hence, the power is 24.5 Watts.

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Answer:

x=-2

Step-by-step explanation:

|x+5|=3

-2+5=3

Answer:

I hope it helps

Step-by-step explanation:

just insert numbers and simplify

The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.

We have,

To solve the equation 3y + 6 + 4y - 7 = -8 for y, we can combine like terms and isolate the variable.

Combining like terms on the left side of the equation, we have:

3y + 4y + 6 - 7 = -8

Simplifying further:

7y - 1 = -8

Next, let's isolate the y-term by moving the constant term to the other side of the equation:

7y = -8 + 1

Simplifying:

7y = -7

Finally, divide both sides of the equation by 7 to solve for y:

y = -7/7

Simplifying the fraction:

y = -1

Therefore,

The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.

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Work Shown:

a = x, b = 3, c = 4

a^2 + b^2 = c^2  ... pythagorean theorem

x^2 + (3)^2 = (4)^2

x^2 + 9 = 16

x^2 = 16 - 9

x^2 = 7

x = sqrt(7)

x = 2.64575131106459

x = 2.6

In a right triangle with one leg of length 3, the other leg of length 4, and the hypotenuse of length x, the Pythagorean theorem formula (3² + 4² = x²) gives the length of x as √25, or 5 units.

In Mathematics, a right triangle has one angle that is a right angle (90 degrees). In these triangles, the Pythagorean theorem applies, which says that the square of the length of the longest side (hypotenuse) is equal to the sum of squares of the other two sides (legs).

If x is a leg of the triangle, then its length can be found by rearranging the Pythagorean theorem formula. If the length of one leg is 3, the other is 4, and the length of the hypotenuse is x, then the equation is: 3² + 4² = x².

That simplifies to 9 + 16 = x², and further to x² = 25. Taking the square root of both sides gives us the length of x as 5 units.

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Answer:

-6

Step-by-step explanation: