A truck whose bed is 2.5 m long, 1.5 m wide and 1.0 m high is delivering sand for a sand-sculpture competition. About how many trips must the truck make to deliver 7 m3 of sand?

Answers

Answer 1

2 trips. The volume of the truck bed is 3.75 cubic meters, and they need 7 cubic meters. 3.75 times 2 is 7.5 cubic meters. It cannot have less than a full trip, and it cannot transport the whole load in one trip, so in order for the whole load to be delivered, it is necessary for the truck to make 2 trips.

Answer 2

of if I got it right

Related Questions

select the values of r, below, that represent a low or no correlation

0.8

0.3

0.1

-0.2

-0.5

1

-0.001

Answers

0.3, 0.1, -0.2, -0.001 are all little to no correlation.

The closer our values get to 1 or -1, the stronger the correlation. Anything below 0.5 is not a strong correlation.

The reciprocal of two more than a number is three times the reciprocal of the number. find the number

Answers

let the number be x
reciprocal=1/x
2 more the reciprocal=1/2+x
but 1/2+x=3(1/x)
1/2+x=3/x
x=6+3x
x=-2

4/10= heeeeeeellllllppppppppppppp

Answers

4/10 is equal to 2/5, and 0.4.

2/5 can be found by simplifying the fraction (dividing top and bottom by 2). 0.4 can be found by dividing 4 by 10.

I hope this helps!

When you reduce the fraction [tex] \frac{4}{10} [/tex] by 2 you will find that it is simplified to [tex] \frac{2}{5} [/tex]. Along with that,, you can divide the top of the fraction (4) by the bottom of the fraction (10) to find the decimal of the fraction. This means that the correct answer to your question is that [tex] \frac{4}{10} [/tex] = [tex] \frac{2}{5} [/tex] or 0.4 as a decimal.
Let me know if you have any further questions.
:)

A runner is participating in a 10.3 mile race. If the runner stopped at a water station that is twice as far from the starting line as from the finish line, how far is the runner from the finish line?

Answers

We have the representation of this problem in the figure below. As we have a 10.3 mile race, then the equation is fulfilled as:

[tex]d = 10.3mi = d_{1}+ d_{2}[/tex]

We know that there is a water station that is twice as far from the starting line as from the finish line, then:

[tex]d_{2}=2d_{1}[/tex]

So:

[tex]d_{1} +2d_{1}=10.3[/tex]
∴ [tex]d_{1}=3.43mi[/tex]

and [tex]d_{2}=2(3.43)=6.86mi[/tex]

Finally, the distance of the runner from the finish line is:

[tex]6.86mi[/tex]

Answer:

6.86

Step-by-step explanation:

A bookstore marks up the cost of a book from $6 to $10. What was the percent increase?

Answers

Final answer:

To find the percent increase from $6 to $10, subtract the initial cost from the final cost, divide by the initial cost, and multiply by 100. The percent increase is 66.67%.

Explanation:

To find the percent increase, you need to calculate the difference between the final cost and the initial cost, and then divide that difference by the initial cost. Finally, multiply by 100 to get the percentage.

Given that the initial cost is $6 and the final cost is $10, the difference is $10 - $6 = $4.

To find the percent increase, divide $4 by $6: $4/$6 = 0.6667 (rounded to four decimal places).

Multiply by 100 to get the percentage: 0.6667 * 100 = 66.67% (rounded to two decimal places).

What is the surface area of a cone, to the nearest whole number?

a.221 cm^2
b.240 cm^2
c.304 cm^2
d.620cm^2

Answers

the answer is 240cm^2, so B.
Surface Areas of Pyramids and Cones Practice: connexus
1) B, 448cm^2
2) D, 209pi cm^2
3) D, 351m^2
4) B, 240cm^2
5) C, 561.1pi cm^2
Just took it so they are all correct! your welcome

The surface area of a cone is b. 240 cm^2.

What is surface area of a cone?

The surface area of a cone is equal to the curved surface area plus the area of the base: π r^2 + π L r .

where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.

Here, we have,

from the given figure,

we get,

L= 12.5 cm

r=9/2

=4.5cm

by using the formula, we get,

the surface area of a cone is = 240.33 cm^2

Hence, the surface area of a cone is b. 240 cm^2.

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A fire truck has a ladder that can extend to 60 feet in length. the ladder can be safely raised to a maximum angle of 75o with the horizontal. disregarding the height of the fire truck itself, which is closest to the maximum height that the ladder can safely reach?

Answers

see the attached figure to better understand the problem

we know that
in the right triangle ABC

sin 75°=BC/AB-------> BC=AB*sin 75°----> BC=60*sin 75°----> BC=57.96 ft

the answer is
57.96 ft

Which describes a cost that fluctuates depending on the number of units produced?

Answers

Variable cost describes a cost that fluctuates depending on the number of units produced. It is defined as a cost that varies in line with the output produced. It increases or decreases based on the volume of the production of the company; they increase as production rises and decreases as production fall.

Answer: Variable Cost APEX

Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £77.40.
They share the tips in the ratio 1:3:5.
How much more does Brian get over Paul?

Answers

You have to add the ratio, which is 1:3:5 and 1+3+5= 9. Then you must do £77.40 divided by 9. This gives you £8.6. So 1 part is £8.60, also how much Paul got. To find out Brian, you must do 5 multiplied by £8.60 which gives you £43. Then, to get the difference, you must do £43 take away £8.60, giving you £34.40. Your final answer will be £34.40. I hope this helped!

Two parallel lines are intersected by a transversal. Two parallel lines are intersected by a transversal. One of the angles formed measures 88°

Answers

I put the transversal line and the 2 parallel lines.
Also I added what the other angle right next to it.

Final answer:

Two parallel lines intersected by a transversal create angles that are congruent or supplementary. The given 88° angle determines the measures of all other angles, which can either be 88° or supplementary to it, totaling 180°.

Explanation:

When two parallel lines are intersected by a transversal, several angles are formed. These angles have special relationships with each other. Since one of the angles is given as 88°, we can determine the measures of all other angles formed by using the properties of parallel lines and a transversal.

There are corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles (also known as same-side interior angles). Corresponding angles and alternate angles are equal, while consecutive interior angles are supplementary, meaning they add up to 180°.

Given that one of the angles measures 88°, its corresponding angle also measures 88°. The alternate exterior and alternate interior angles relative to the 88° angle would also measure 88°. The consecutive interior angles to the given angle would measure 92° (180° - 88° = 92°).

In a situation where mirrors are placed at an angle relative to each other, the same principle of angle measurement applies. For example, if two mirrors are inclined at an angle of 60°, the reflections would follow geometry consistent with angle relationships.

During a dig, an archaeological team starts at an elevation of −512 feet. At a rate of 234 feet per hour, the team digs deeper into the surface for 312 hours. For the next 412 hours, the team digs at a rate of 1512 feet per hour. Then the team quits for the day.How many feet did the archaeological team dig after 312 hours? feetWhat was the team's elevation at the end of the day?

Answers

Their elevation on that day is -5 1/2 -16= -21 1/2 feet

Toss a coin three times. what is the probability of getting a head on the first toss

Answers

50%. Regardless of how many times you flip it, on any given toss, the chance of flipping a heads is always 1/2.

square root of 75 plus square root of 3

Answers

Your answer is: 10.3923048

Answer:
6√3

Explanation:
Before we begin, remember the following:
[tex] \sqrt{a*b} = \sqrt{a} * \sqrt{b} [/tex]
[tex]m \sqrt{a} + n \sqrt{a} = (m+n) \sqrt{a} [/tex]

Now, for the given:
75 can be written as 25*3
This means that:
[tex] \sqrt{75} = \sqrt{25*3} [/tex]
Applying the above concept, we can find that:
[tex] \sqrt{75} = \sqrt{25*3} = \sqrt{25} * \sqrt{3} [/tex]
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

On a island, the population of flamingos is currently 400, and this population doubles every 3 years. Which of the following functions will correctly model this situation? Assume t is measured in years.
F f(t)= 2 x 400^3t
G f(t)= 400 x 3^t/2
H f(t)= 400 x 2^t/3
J f(t)= 400 x 2^3t

Answers

I think the answer is F
f(t) = 2*400^3t

What is the sum of this geometric series?5 + 25 + 125 + 625 + 3,125 + 15,625?

Answers

Final answer:

The sum of the given geometric series (5 + 25 + 125 + 625 + 3,125 + 15,625) is -78120.

Explanation:

The question is asking for the sum of a geometric series. In a geometric series, each term is multiplied by a common ratio to get the next term. In this case, the first term (a) is 5 and the common ratio (r) is 5 (since we get each term by multiplying the previous one by 5).

The sum (S) of the first n terms of a geometric series can be calculated using the formula S = a * (1 - r^n) / (1 - r). In this case, there are n=6 terms in the series, so we will plug these values into the formula.

Therefore, S = 5 * (1 - 5^6) / (1 - 5). So, the sum of this geometric series is -78120.

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Find the sum of this problem

Options:
52
26
13
32

Answers

[tex]\displaystyle\sum_{i=3}^{10}(2i-9)=2\sum_{i=3}^{10}i-9\sum_{i=3}^{10}1[/tex]
[tex]\displaystyle=2\left(\sum_{i=1}^{10}i-\sum_{i=1}^2i\right)-9\left(\sum_{i=1}^{10}-\sum_{i=1}^21\right)[/tex]

Recall that

[tex]\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2[/tex]
[tex]\displaystyle\sum_{i=1}^n1=n[/tex]

so the above reduces to

[tex]2\left(\dfrac{10\cdot11}2-\dfrac{2\cdot3}2\right)-9\left(10-2\right)=32[/tex]

Larry has taken out a loan for college. He started paying off the loan with a first payment of $150. Each month he pays, he wants to pay back 1.3 times as the amount he paid the month before. Explain to Larry how to represent his first 15 payments in sigma notation. Then explain how to find the sum of his first 15 payments, using complete sentences. Explain why this series is convergent or divergent.

Answers

14 Σ [(1.3^n) * (150)]n = 0
Using the sigma notation to find the sum of his first 15 payments, each of the possible values of n (from 0 to 14) are substituted into the equation. After which, each of the results are then added to each other. Also, the problem states that only the first 15 payments are to be included in the notation. This shows that the series is limited and is finite. Therefore, it is a convergent series.

What is the area of the figure? The diagram is not drawn to scale.
A. 1,190 in^2
B. 595 in^^2
C. 1,435 in^2
D. 1,394 in^2

Answers

the picture in the attached figure

we know that
the figure is a parallelogram
the area of parallelogram=base*height
in this problem
base=34 in
height=35 in
so
area=34*35----> area=1190 in²

the answer is
A. 1,190 in^2

Choose the correct answer. two cars leave phoenix and travel along roads 90 degrees apart. if car 1 leaves 30 minutes earlier than car 2 and averages 42 mph and if car 2 averages 50 mph, how far apart will they be after car 1 has traveled 3.5 hours? miles.

Answers

The equation of movement for each car is given by:
Car 1:
d1 = v1 * t1
Substituting values:
d1 = 42 * 3.5
d1 = 147 miles
Car 2:
d2 = v2 * t2
d2 = v2 * (t1 + 0.5)
Substituting values:
d2 = 50 * (3.5 + 0.5)
d2 = 200 miles
The distance between the cars is:
d = root ((d1) ^ 2 + (d2) ^ 2)
d = root ((147) ^ 2 + (200) ^ 2)
d = 248.2 miles
Answer:
They will be 248.2 miles far.

The answer is 210 miles.

the fish aquarium holds 150 liters of water. How many milliliters dose the aquarium holds?

Answers

For this case the first thing we should have is the following unit conversion:
1 liter = 1,000 milliliters
Applying the conversion we have:
(150) * (1,000) = 150,000 milliliters
Answer:
The aquarium holds:
150,000 milliliters

How many numbers between 50 and 250 (inclusive) are not perfect squares?

Answers

64, 81, 100, 121, 144, 169, 196, 225
are perfect square
So 201-8=193

How do I factorise
28x-4

Answers

Step 1. Check if both terms of your expression have a common factor.
Notice that both 28x and 4 are divisible by 4, so the common factor of your expression is 4.

Step 2. Take out the common factor by dividing each one of the terms by the common factor and grouping the results inside a parenthesis:
[tex] \frac{28x}{4}=7x [/tex] and [tex] \frac{4}{4} =1[/tex]
[tex]28x-4=4(7x-1)[/tex]

We can conclude that the factored form of [tex]28x-4[/tex] is [tex]4(7x-1)[/tex].

Given the following functions f(x) and g(x), solve fraction f over g ( 3) and select the correct answer below. f(x) = 2x2 – 8 g(x) = x – 5

Answers

(f/g)(x) = (2x² - 8)/(x - 5)
(f/g)(3) = (2(3)² - 8)/(3 - 5)
      = (18 - 8)/(-2)
      = 10/-2
      = -5

Text messages cost $.15 each. You can spend no more than $10. How many text messages can you send? Show Working

Answers

10 divided by 0.15.
You can send 66 Text messages.
Whenever a situation like this comes up try dividing :D

Could you please give me brainliest?

Final answer:

If each text message costs $.15, and you have $10, you can send a maximum of 66 text messages after rounding down.

Explanation:

To figure out how many text messages you can send with $10, given that each text message costs $.15, we need to divide the total amount of money ($10.00) by the cost of each text message ($.15).

It's a simple division problem: $10.00 ÷ $.15 = 66.67.

However, you can't send a fraction of a message, so we need to round down to the nearest whole number. So, you can send a total of 66 text messages for $10.

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Which situation is represented by the equation? 9x + 90 = 6x + 120

A) Jake has $90 and Mike has $120. Jake saves $6 per week and Mike saves $9 per week. How long will it be before Jake has more money than Mike?

B) Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Jake has more money than Mike?

C) Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Mike has more money than Jake?

D) Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Jake and Mike have the same amount of money?

Answers

The answer is D . Because it make them equally to each other which means they are trying to have the same amount

Answer:

D) Jake has $90 and Mike has $120. Jake saves $9 per week and Mike saves $6 per week. How long will it be before Jake and Mike have the same amount of money?

Step-by-step explanation:

The answer is D, because it make them equal

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs
20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in
pounds can be represented by f x( ) = 20x + 4.

What is the range of the function for this situation?

Please explain.

Answers

The range of the function is the distance from the maximum of the function to the minimum of the function. The minimum amount of pairs of plates that you can add to the bar (x) is 0, meaning you add no plates. The maximum amount of plates that you can add to the bar is 6, because this is how many plates come in one weight set. The range of the function is y values, and 0 and 6 are x values, so we must plug these values into the function to find the range values.

f(x) = 20x + 4 = 20(0) + 4 = 0 + 4 = 4

f(x) = 20x + 4 = 20(6) + 4 = 120 + 4 = 124

Therefore, the range of the function is 120 pounds, or from [4, 124].

Hope this helps!

The range of a function is the possible output values of the function. The range of [tex]f(x) =20x + 4[/tex] is [4,124]

Given that:

[tex]f(x) =20x + 4[/tex]

To determine the range of the function, we simply determine the value of f(x) using the input values

When no pair is added (this means x = 0).

So, we have:

[tex]f(0) =20 \times 0 + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

When 4 pairs are added (this means x = 4).

So, we have:

[tex]f(4) = 20 \times 4 + 4[/tex]

[tex]f(4) = 84[/tex]

When 6 pairs are added (this means x = 6).

So, we have:

[tex]f(6) = 20 \times 6 + 4[/tex]

[tex]f(6) = 124[/tex]

f(6) is greater than f(4).

i.e. [tex]124 > 84[/tex]

So, the range of the function is: [0,124] or [tex]4 \le x \le 124[/tex]

Answers

Small. very small.

Out of 26 cards, you must choose one of them -- an "a". That's 1/26.

There are 25 cards left and again you must choose one of them. That's one out of 25. or 1/25.

The probability can only be 1/26 * 1/25 = 1/650

Put another way, if you played this game 650 times, you would only choose an a first and an e second once.

[tex]|\Omega|=26\cdot25=650\\ |A|=1\\\\ P(A)=\dfrac{1}{650}\approx0.15\%[/tex]

Two forest fire stations, P and Q, are 20.0 km apart. A

ranger at station Q sees a fire 15.0 km away. If the angle

between the line PQ and the line from P to the fire is

how far, to the nearest tenth of a kilometre, is

station P from the fire?

Answers

Station P is approximately 15.0 km away from the fire.

Given that:

A right triangle with sides PQ: 20.0 km

And QF: 15.0 km

Where F is the location of the fire.

To find how far station P is from the fire, use trigonometry.

Let's call the distance from station P to the fire x km.

The angle between PQ and PF is given.

Using the trigonometric tangent function:

tan(angle) = opposite/adjacent

In this case, the opposite side is QF , and the adjacent side is PQ.

tan(angle) = 15.0 km / 20.0 km

Now, let's find the value of the angle:

angle = arctan(15.0 km / 20.0 km)

Using a calculator to get,

angle ≈ 36.87 degrees

Now, use trigonometry again to find x:

tan(36.87 degrees) = x / 20.0 km

x ≈ 20.0 km * tan(36.87 degrees)

x ≈ 20.0 km * 0.75

x ≈ 15.0 km

So, station P is approximately 15.0 km away from the fire.

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Final answer:

The distance from station P to the fire is approximately 21.23 km.

Explanation:

To find the distance from station P to the fire, we can use trigonometry. Since the ranger at station Q sees the fire at an angle between the line PQ and the line from P to the fire, we can consider the triangle created by station P, station Q, and the fire.

Using the tangent function, we can determine this distance:

tan(angle) = opposite / adjacent

Let x be the distance from station P to the fire:

tan(angle) = x / 15

Solving for x, we get:

x = 15 * tan(angle)

Now, we need to find the angle between the lines PQ and the line from P to the fire. Since the triangle created by station P, station Q, and the fire is a right triangle, we can use the inverse tangent function to find the angle:

angle = arctan(opposite / adjacent) = arctan(20 / 15)

Using a calculator, we find that the angle is approximately 53.13 degrees.

Substituting this angle into the equation for x, we have:

x = 15 * tan(53.13)

Solving for x, we get:

x ≈ 21.23 km

Please help please please

Answers

[tex]\Omega=\{1;\ 2;\ 3;\ 4;\ 5;\ 6;\ 7;\ 8;\ 9;\ 10\}\\\\|\Omega|=10\\\\A=\{1;\ 3;\ 6;\ 7\};\ B=\{2;\ 3\}\\\\A\ \cup\ B=\{1;\ 2;\ 3;\ 6;\ 7\}\\\\|A\ \cup\ B|=5\\\\P(A\ \cup\ B)=\dfrac{|A\ \cup\ B|}{|\Omega|}\to P(A\ \cup\ B)=\dfrac{5}{10}=\dfrac{1}{2}=0.5=0.50[/tex]

\Omega=\{1;\ 2;\ 3;\ 4;\ 5;\ 6;\ 7;\ 8;\ 9;\ 10\}\\\\|\Omega|=10\\\\A=\{1;\ 3;\ 6;\ 7\};\ B=\{2;\ 3\}\\\\A\ \cup\ B=\{1;\ 2;\ 3;\ 6;\ 7\}\\\\|A\ \cup\ B|=5\\\\P(A\ \cup\ B)=\dfrac{|A\ \cup\ B|}{|\Omega|}\to P(A\ \cup\ B)=\dfrac{5}{10}=\dfrac{1}{2}=0.5=0.50

Helppp!! I need help with this question. Can anyone help me?

Answers

find the height of a residentail floor:

22-15 = 7 floors
76.4 -54 = 22.4 meters

22.4 / 7 = 3.2 meters ( each residential floor )

now find height of ground floor:

floor 8 - 1 = 7 floors

7 floors x 3.2 meters = 22.4 meters total

31.6 meters - 22.4 meters = 9.2 meters

the ground floor = 9.2 meters

Therefore, the height of the ground floor is 9.2 meters above the ground.

The pattern observed in the data is that the difference in height between consecutive floors remains constant. To find this constant difference, we can subtract the height of one floor from the height of the next floor.

For example:

Height of floor 1 (15th floor) - Height of ground floor (8th floor) = 54 m - 31.6 m = 22.4 m

Height of floor 2 (22nd floor) - Height of floor 1 (15th floor) = 76.4 m - 54 m = 22.4 m

The constant difference is 22.4 meters. This represents the height between each residential floor. To find the height of the ground floor (floor 0), we can subtract this constant difference from the height of the first residential floor.

Ground floor height = Height of floor 1 - Constant difference

Ground floor height = 31.6 m - 22.4 m = 9.2 meters.

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