The rectangular bed of a truck is 1 9⁄10 meters long, 1 1⁄2 meters wide, and 1⁄2 meter tall. What is the volume of the truck's bed?

Answers

Answer 1

Answer:

1 17/40 m^3

Step-by-step explanation:

Volume = l*w*h

             = 1 9/10 * 1 1/2 * 1/2

Changing the mixed numbers to improper fractions

1 9/10 = (10*1+9) /10 = 19/10

1 1/2 = (2*1+1)/2 = 3/2

1/2 = 1/2

V = 19/10* 3/2*1/2

  =57/40

Changing this back to a mixed number

40/40 + 17/40

1 17/40

Answer 2

Answer:

1 17/40 m³

Step-by-step explanation:

1.9 × 1.5 × 0.5

= 1.425 m³

19/10 × 3/2 × 1/2

= 57/40

= 1 17/40 m³


Related Questions

Describe one method to calculating the area of the shaded region.

Answers

Answer:

Fine the area of the square, then the area of the circle. Subtract the area of the circle from the area of the square and you will get the remaining shaded area.

Mr. Inderhees wrote an equation and the first step of his solution process, as shown.
​15 = −5 +4x
20 = 4x

​Which math operation did Mr. Inderhees apply in his first step?
A. He divided 15 by 5.
B. He added 5 to each side of the equation.
C. He divided each side of the equation by 5.
D. He subtracted 5 from each side of the equation.

Answers

Answer:

B. He added 5 to each side of the equation.

Step-by-step explanation:

B. He added 5 to each side of the equation.

A boy owns 7 pairs of pants, 3 shirts, 2 ties, and 6 jackets. How many different outfits can he wear to school if he must wear one of each item?
He can wear different outfits.

Answers

Answer:

252 7 x 3 x 2

Step-by-step explanation:

The boy can wear 252 different outfits to school.

To calculate the number of different outfits, you can multiply the number of choices for each clothing item.

In this case, he has 7 choices of pants, 3 choices of shirts, 2 choices of ties, and 6 choices of jackets.

To find the total number of outfits, simply multiply these choices together: 7 pants x 3 shirts x 2 ties x 6 jackets = 252 different outfits.

This calculation works because for each choice of one item of clothing, there are still all the other choices available for the remaining items.

So, for every pair of pants, he can choose from 3 different shirts, and for each shirt-pants combination, there are 2 tie options, and so on.

Multiplying these choices together gives us the total number of outfits he can create while wearing one of each item.

for such more questions on multiply

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A pharmacist need to fill an order for a patient weighing 90.0 kg. The patient was prescribed 15 mg of a drug per
kg of body weight (15 mg = 1 kg) How many milligrams (mg) will the pharmacist need to order for the
prescription for the 90.0 kg patient?

Answers

Answer:

1,350 mg.

Step-by-step explanation:

Multiply the amount of mg per kg by the number of kg to get the total amount of mg needed by the patient.

1350 milligrams pharmacist needs to fill the order for that patient.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given that,

The patient needs the drug according to his weight by multiplying of 15

Since the weight of the patient is 90 kg

So,

Amount of drug needed = 15 × 90 = 1350 miligram.

Hence "1350 milligrams pharmacist needs to fill the order for that patient".

For more information about multiplication,

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A line passes through the point (4, -1) and has a slope of -5/4

Answers

Answer:

y = -5/4x+4

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b

where m is the slope and b is the y intercept

y = -5/4x +b

Substitute the point into the equation

-1 = -5/4(4) +b

-1 =-5+b

Add 5 to each side

-1+5 = -5+5+b

4 = b

y = -5/4x+4

Answer:

the answer is D

Step-by-step explanation:

ANSWER!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Total bags = 8

Candies in each bag = 7 candies

So Now

Total candies in the package = 7*8 = 56

A rectangular pyramid has a volume of 1,512in3, a height of 12 in and a base length in f 21 in. What is the width of it’s base?

Answers

Answer:

18 inches.

Step-by-step explanation:

Hope this helps! Would you like an explanation?

Mr. Wilson is putting together information package for his students. Each package has 5 sheets of paper and is held together with 2 Staples. What ordered pair represents how many staples (x) and sheets of paper (y) Mr Wilson needs for 13 packets?

Answers

Answer:

(26,65)

Step-by-step explanation:

We know that each package has 5 sheets of paper and 2 staples. So, to know how many sheets of paper and staples that will be used in 13 packages, we just need to multiply each quantity of material used by 13.

So, we have that:

Total sheets of paper = 13 * 5 = 65

Total staples = 13 * 2 = 26

So the ordered pair (x,y), where x is staples and y is sheets of paper is:

(26,65)

Answer:

The ordered pair is (26, 65).

Step-by-step explanation:

From the given information, a package has 5 sheets of paper and is held together with 2 staples.

13 packets contains 13 packages, so that:

Number of sheet of paper required = 13 × 5

                                                           = 65

Number of staples required = 13 × 2

                                              = 26

Therefore, the ordered pair is; staples (26) and sheets of paper (65) i.e (26, 65).

The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? It must have only two factors. It must have fewer than three factors. It must have exactly three factors. It must have more than three factors.

Answers

Answer:

Step-by-step explanation:

⇒49=7×7 =1 × 49

Factors of 49 = 1,7,49

⇒It is given that ,98 is a Multiple of 49.

98 = 49 × 2

So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.

→Factors of 98 are =1,2,7,49,98

Helpppppppp ASAPPPP PLZZZZZZ

Answers

what do you need help with?

What’s the value of x in degrees

Answers

Answer:

92⁰

Step-by-step explanation:

a = 35⁰ ( vertically opposite )

b = 53⁰ (vertically opposite )

a + b + x = 180⁰ (Angle sum property of triangle)

35⁰ + 53⁰ + x = 180⁰

x = 180⁰ - 88⁰

x = 92⁰

Answer:

[tex]x = 97 \: \: degrees[/tex]

Step-by-step explanation:

[tex]a = 35 \\ b = 53 \\ (vertically \: \: opposite \: \: angles)[/tex]

[tex]35 + 53 + x = 180 \\ 86 + x = 180 \\ x = 180 - 83 \\ x =9 7 \: \: degrees[/tex]

sum of the angles in a triangle is 180 degrees.

hope this helps

brainliest appreciated

good luck! have a nice day!

f(x) = 3(x + 5)2 - 10

Answers

6x-20 is your answer

Answer: f(x)=3x2+30x+65

Step-by-step explanation:

F(x)=3(x+5)2-10

Using bodmas

B= bracket

O=of

D= division

M= multiplication

A= Addition

S= subtraction

So we go with the bracket

(X+5)2

=(x+5)(x+5)

Open the bracket

=x2+5x+5x+25

=x2+10x+15

Substitute for (x+5)2

F(x)=3(x2+10x+25)-10

Open the bracket

F(x)= 3x2+30x+75-10

F(x)= 3x2+30x+65

Harry picks 133 apples every 7 minutes how many apples would he in 273 minutes

Answers

5187 apples to be exact and if you need me to explain why let me know
5187 apples

explanation:
273 minutes / 7 minutes = 39 minutes
39 x 133 = 5187

Joey's cleaning service charges $50 per week to clean a home. Amy's cleaning service charges $50 per week , plus $25 for cleaning supplies.
which equation can be used to express the amount that Amy's cleaning service charges?

A y=50x

B y=50x-25

C y=1/50x

D y=50x + 25

Answers

Answer:

D y=50x + 25

Step-by-step explanation:

The number of weeks can vary, so it is placed in front of a variable. The cleaning supplies cost does not, so it does not have a variable, but instead, it is a constant.

Answer:

D

Step-by-step explanation:

y = mx + b is the equation, where m = cost per week and b = cleaning supply cost (constant)

That means the equation is y = 50x + 25

|3x−2|=19 please help quick thanks

Answers

Answer:

x=7,-17/3

Step-by-step explanation:

Hey there
The answer for X=7 here is the equation
[3x5-2]=19

Question 1
4 pts
Which set of line segments could create a right triangle? (4 points)
O 15,30,35
O 15,36,39
O 15, 20, 29
O 5,15,30

Answers

Answer:

(B)15,36,39

Step-by-step explanation:

To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.

By Pythagoras Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

In  15,30,35

[tex]35^2\neq 15^2+30^2\\1225\neq 1125[/tex]

In 15,36,39

[tex]39^2=36^2+15^2\\1521=1521[/tex]

In 15, 20, 29

[tex]29^2\neq 15^2+20^2\\841\neq 625[/tex]

In 5,15,30

[tex]30^2\neq 15^2+5^2\\900\neq 250[/tex]

We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.

Which is a shot-term consequence of making a late payment on your bill ?

A-it will be harder to buy a house because it affects your credit history
B-there will be a late fee added to the bill
C-it will be harder to secure a new loan at a low rate
D-the bank will charge a fee for having a negative balance

Answers

Answer: B
Explanation:

Answer:

B

Step-by-step explanation:

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all
the toy cars?

Answers

Answer:

3:10

Step-by-step explanation:

The question is asking the ratio of red cars to all the cars.

There are 3 red cars, and the total of the cars (all the cars) is 10.

The ratio is asking red to all.

So it is 3:10.

We want to get the ratio of red toy cars to the total number of red cars, we will get: 3:10

Here we know that:

There are 2 black cars, 3 red cars, and 5 white cars.

We want to get the ratio (remember that the ratio a to b is a:b) of red toy cars to all the toy cars.

First, we can see that there are 3 red toy cars.

And the total number of toy cars is:

2 + 3 + 5 = 10

So the ratio is just 3:10

If you want to learn more, you can read:

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What percent represents the probability that the spinner will stop on a yellow section?



A.
20%

B.
30%

C.
40%

D.
80%

Answers

Final answer:

To calculate the probability of a spinner landing on a yellow section, specific information about the spinner is required. For instance, with 5 sections where 1 is yellow, the probability would be 20%. Without such information, however, the correct percentage cannot be determined from the choices provided.

Explanation:

To determine the probability of the spinner stopping on a yellow section, we need specific information about the spinner such as the number of sections and the number of yellow sections. Without this information, we are unable to calculate the exact percentage. Assuming a student is given this type of probability question, they would typically be provided with a diagram or description of the spinner. For example, if there are 5 equal sections and 1 of those is yellow, then the probability (in percentage) would be 20%, calculated as (1 yellow section / 5 total sections) × 100%. However, since we do not have this information here, the correct option cannot be determined from the choices provided (A. 20%, B. 30%, C. 40%, D. 80%).

As for the probability of a randomly chosen student not living within five miles of the campus, this would typically be based on specific data provided in the context of the problem. Without the data, we cannot determine the correct percentage for this scenario as well, thus the correct answer is "Cannot be determined."

Can someone please help me with this (thank you)

Answers

Answer:

D. ( 3.6 , 2.2)

Step-by-step explanation:

Given

x + y = 5.8....equation 1

y = 2x - 5 ......equation 2

Putting equation 2 in equation 1

x + 2x - 5 = 5.8

3x = 5.8 + 5

3x = 10.8

Therefore x = 3.6

Now

y = 2 * 3.6 - 5

= 7.2 - 5

= 2.2

Hope it will help you.

Answer:

B

Step-by-step explanation:

PLZ ANSWER QUICK!! I WILL MARK BRAINLIEST!!
Find the areas of the trapezoid.

Answers

Answer:

10.5

Step-by-step explanation:

Area of a triangle=(½)(b)(h)

=(½)(3)(3)

=4.5

Area of rectangle=l×w

=2×3

=6

4.5+6=10.5

(hope this helps!!)

Describe what Pi is and explain how it is used in finding the circumference of a circle

Answers

Pi is 3.14. You use it to find the circumference of a circle by multiplying pi, 2, and the radius of the circle.

Answer:

Sample response: Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.

Step-by-step explanation:

PROBABILITY QUESTIONS AGAIN!!!
Plz help I will mark brainliest to the best/correct answers!

Answers

For every 110 phones, 4 have defects, There's 5 sets of 110 in 550, so multiply 5 by 4.

5 × 4 = 20

Answer:

20 out of the 550 may have defects.

Hope this helps :)

the length of a rectangle is six times it’s width. If the perimeter of the rectangle is 112 yards, find it’s length and width.

Answers

The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.

Step-by-step explanation:

The given is,

                   The perimeter of the rectangle is 112 yards

                   The length of a rectangle is six times it's width

Step:1

          Let, p - Perimeter of the rectangle

                   l - Length of the rectangle

                 w - Width of the rectangle

Step:2

        Formula for perimeter of rectangle,

                    [tex]Perimeter, p = 2(l+w)[/tex]............................(1)

        From given,

                      p = 112 yards

                       l = 6w                            ( ∵ From given)

                     w = w

        Substitute the values,

                   112 = 2 ( 6w + w )

                   112 = 2 ( 7w )

                   112 = 14w

                    w = 8 yards

         From the w value, l becomes

                     l = 6w

                     l = 6 × 8

                   l  = 48 yards

Result:

       The length of rectangle is 48 yards and width of the rectangle is 8 yards, if the perimeter of the rectangle is 112 yards.

which of the following is equivalent to 3(2x-5)-4(x-3)=7

Answers

Answer:

A

Step-by-step explanation:

When we distribute, we get:

6x - 15 - 4x + 12 = 7

If we combine the like terms, we get:

2x - 3 = 7, which is A in your case. Hope this helps.

give the equation of the line goinng through (4, 6) and parallel to the line 2y-6x=4

Answers

Answer:

y = 3x-6

Step-by-step explanation:

First we need to find the slope of the line

2y-6x=4

Solve for y

Add 6x to each side

2y-6x+6x=4+6x

2y = 6x+4

Divide each side by 2

2y/2 =6x/2 +4/2

y = 3x +2

The slope is 3

We want a line parallel, so it will have the same slope

We have a slope and a point

y = 3m+b

Substitute in the point

6 = 3(4)+b

6 =12+b

Subtract 12 from each side

6-12 = 12-12+b

-6 =b

y = 3x-6

Answer:

y = 3x - 6

Step-by-step explanation:

2y = 6x + 4

y = 3x + 2

Slope = 3

y = 3x + c

6 = 3(4) + c

c = 6 - 12

c = -6

y = 3x - 6

In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.

A. Explain why this is not a valid conclusion

B. Suggest a better method of determining what subject is most popular

Answers

Answer:

1) biased sample

2) random sampling

Step-by-step explanation:

Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.

Also, since it's a math class there will be a bias.

Better method would be randomly selecting students from the entire school students list and take their feedback

What happens to the value of f(x) = log4x as x approaches 0 from the right?

Answers

Answer:f(x) approaches negative infinity

Step-by-step explanation:

N/A

Answer:

the 1st one is a (f(x) approaches negative infinity)

the 2nd one is c (f(x) approaches infinity)

Step-by-step explanation:

How many integers are there in the solution set of the inequality |x−2000|+|x| ≤9999

Answers

Answer:

9999

Step-by-step explanation:

Find the greatest value of x and the least value of x that satisfy the equation:

2x-2000 = 9999 (Yields the greatest solution)

2x + 2000 = -9999 (Yields the least solution)

Solve both equations and you get:

3999.5 (Greatest solution)

-5999.5 (Least solution)

That means the range of integer solutions is between 3999 and -5999 (inclusive). That means there are 9999 integral solutions

Answer:

20,000 integers

Step-by-step explanation:

By triangular inequality,

|x - 2000 + x| ≤ |x−2000|+|x|

|x−2000|+|x| ≤ 9999

|x - 2000 + x| ≤ 9999

|2x - 2000| ≤ 9999

|x - 10000| ≤ 4999.5

x - 10000 ≤ 4999.5

x ≤ 4999.5

x ≤ 14999.5

-(x - 10000) ≤ 4999.5

-4999.5 ≤ x - 10000

-5000.5 ≤ x

All solutions:

-5000.5 ≤ x ≤ 14999.5

No. of inyegers:

14999 - (-5000) + 1

20,000 integers

4) -8 – 3a = 46 whoever has best answer gets brainliest

Answers

Answer:

A= -18

Step-by-step explanation:

-8-3(-18)= 46= -18

Answer:

a=-18

Step-by-step explanation:

Let's break this down step by step.

-8-3a=46

Since 3a has a variable, a, we want to get it by itself. So the first step is to do the inverse operation and add 8 on both sides. That leaves this equation:

-3a=54

The 3a is -3a because of the subtraction sign in front. Now we divide on both sides because we want the variable, a, to be by itself. That leaves this simplified expression.

a=-18.

Now, let's work it out in context of the problem.

-8-3x-18=46

3x-18 is -54, and -8-(-54), it would become 46.

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