Jacobs toy box is 4 1/3 ft x 3ft x 5ft.what is the volume of his toy box

Answers

Answer 1

we know that
4 1/3------> (4*3+1)/3------> 13/3 ft

[volume of a rectangular prism]=length*width*height
[volume of a rectangular prism]=(13/5)*3*5------> 39 ft³

the answer is
the volume of the toy box is 39 ft³

Answer 2

Answer:

The volume of a toy box is 65 ft³ .

Step-by-step explanation:

Formula

Volume of a box = Length × Breadth × Height

As given the expression in the question

Jacobs toy box is [tex]4 \frac{1}{3}[/tex] ft x 3ft x 5ft.

i.e

Jacobs toy box is [tex]\frac{13}{3}[/tex] ft x 3ft x 5ft.

Put all the values in the formula

[tex]Volume\ of\ a\ toy\ box = \frac{13}{3}\times 3\times 5[/tex]

= 13 × 5

= 65 ft³

Therefore the volume of a toy box is 65 ft³ .

Related Questions

Fabian harvests 10 pounds of tomatoes from his garden he needs 2 2/5 pound to make a batch of soup. If he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can He make

Answers

He can make 3 batches of soup.

Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.

0.2 is read as "two tenths," so 7.2 = 7 2/10

We divide this remaining number of pounds by 2 2/5 for each batch of soup:

7 2/10 ÷ 2 2/5

Convert each to an improper fraction:
72/10 ÷ 12/5

Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3

Final answer:

With 7.2 pounds of tomatoes, Fabian can make 3 batches of soup since each batch requires 2.4 pounds of tomatoes.

Explanation:

First, let's understand the total quantity of tomatoes Fabian has to make soup. He harvested a total of 10 pounds and set aside 2.8 pounds for spaghetti sauce. So, he has 7.2 pounds of tomatoes left to make soup. Every batch of soup needs 2 2/5 pounds of tomatoes which is equivalent to 2.4 pounds. To find out how many batches of soup he can make, divide the total weight of tomatoes he has for the soup by the weight each batch needs. Therefore, 7.2 divided by 2.4 gives 3 batches of soup.

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Find the values of x,y, and z. The diagram is not to scale.

A. x = 86, y = 94, z = 75
B. x = 86, y = 75, z = 94
C. x = 75, y = 94, z = 86
D. x = 75, y = 86, z = 94

Answers

All the angles must add to 180degrees in a triangle.

180 = 59 + 35 + x
180 = 94 + x
86 = x

Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z

Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y

The answer is B.)

Hope this helps!

Answer:

b) x=86,y=75,z=94

Step-by-step explanation:

Yvonne put $4000 in a savings account. At the end of three years, the account had earned $960 in simple interest. A. How much does she have in her own account at the end of three years? B. What annual simple interest rate did the account grow? Show your work. C. How many more dollars would she have in her account if the interest rate were 1% greater? Show your work.

Answers

To solve this we are going to use the simple interest formula:
[tex]A=P(1+rt)[/tex]
where
[tex]A[/tex] is the final amount after [tex]t[/tex] years
[tex]P[/tex] is the initial amount
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is the time in years

A. We now form our problem that her initial savings were $4000. Since she earned $960 in interest after 3 years, her final amount will be his initial savings plus the interest hat she earned:
[tex]A=4000+960[/tex]
[tex]A=4960[/tex]
We can conclude that she will have $4960 in her account at the end of three years.

B. We know for our problem that [tex]P=4000[/tex], and [tex]t=3[/tex]. We also know that the account earned $960 in interest, so [tex]A=4000+960=4960[/tex]. Let [tex]x[/tex] represent the interest rate; since the interest rate should be in decimal form, [tex]r= \frac{x}{100} =0.01x[/tex]. Lets replace all the values in our formula to find [tex]x[/tex]:
[tex]4960=4000[1+(0.01x)(3)][/tex]
[tex]4960=4000(1+0.03x)[/tex]
[tex]4960=4000+120x[/tex]
[tex]120x=960[/tex]
[tex]x= \frac{960}{120} [/tex]
[tex]x=8[/tex]
We can conclude that the account growth by an annual simple interest rate of 8%

C. if the interest rate were 1% greater, our new [tex]r[/tex] is going to be [tex]r=8+9[/tex]. But remember that the interest rate should by in decimal form, so we are going to divide 9% by 100%:
[tex]r= \frac{9}{100} [/tex]
[tex]r=0.09[/tex]
We also know that the conditions are the same as before, so [tex]P=4000[/tex] and [tex]t=3[/tex]. Lets replace all our values in our formula to find [tex]A[/tex]:
[tex]A=4000[1+(0.09)(3)][/tex]
[tex]A=4000(1+0.27)[/tex]
[tex]A=4000(1.27)[/tex]
[tex]A=5080[/tex]
We can conclude that she will have [tex]5080-4960=120[/tex] $ more in her account if the interest rate were 1% greater.

In a certain class of students, there are 10 boys from wilmette, 5 girls from kenilworth, 10 girls from wilmette, 7 boys from glencoe, 5 boys from kenilworth and 6 girls from glencoe. if the teacher calls upon a student to answer a question, what is the probability that the student will be from kenilworth?

Answers

THE PROBABLITY WIL BE 10 OUT OF 33.

130.8996939 rounded to the nearest hundredth

Answers

The answer would be 130.9

a hundredth would mean the number is rounded to 2 decimal places. 130.8996939 to 2 decimal places would be 130.90(you round up because the thousandths place is 9 and it is greater than 5. you must write the zero digit down to show it is rounded to the nearest hundredth)

hope i helped :)

Consider the diagram shown where a ladder is leaning against the side of a building. The base of the ladder is 12 ft from the building. How far is the top of the ladder from the ground?(to the nearest ft)

Answers

Is there an angle of elevation or depression given? Otherwise this question is unsolvable.

the answer is B, or 33 ft
tan A = CBAC
tan 70° = CB12
2.7475(12) = 32.97 ftThe correct answer is 33 ft.

Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3

Answers

The answer to this is C. 233

The Volume of Figure is 233 inch³.

What is Volume?

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.

Given:

Top Cuboid:

length = 12 inch

width = 3 inch

Height = 3 inch

Bottom Cube:

Edge = 5 inch

So, the Volume of Figure

= Volume of Top Cuboid + Volume of Cube

= 12 x 3 x 3 + 5 x 5 x 5

= 72 + 125

= 233 inch³

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when you divide a whole number by a fraction with a numerator of 1, explain how you can find the quotient

Answers

Something like 4//1/255 ?
just multiply The number you started with be the denominator of the fraction.

4 * 255 = 1020

The reason why is that though I didn't say so you are actually multiply both top and bottom by 255

4 * 255
==
1 * 255
--
255
The bottom 255s cancel. and you are left with 4 * 255 on the top.
Short cut you want. Short cut you get.
Thanks for posting.

The manager of a store selling tea plans to mix a more expensive tea that cost $7 per pound with a less expensive tea that cost $4 per pound to create a hundred forty pound blend that will sell for $6.10 per pound. How many pounds of each type of tea are required?

Answers

We define the variables of the problem:
x = expensive tea
y = less expensive tea
We write the system of equations:
7x + 4y = 6.10 * (140) = 854
x + y = 140
The system of equations is:
7x + 4y = 854
x + y = 140
Resolving we have:
x = 98
y = 42
Note: see attached image for the solution.
Answer:
They are required:
expensive tea = 98 pounds
less expensive tea = 42 pounds

One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorter side?

Answers

let
x----------> length of the long side of rectangle
y---------> length of the short side of rectangle
P----------> perimeter of rectangle

we know that
x=5y-------------> equation 1
P=2x+2y---------> 72=2x+2y---------> equation 2

then

I substitute 1 in 2
72=2*(5y)+2y----------> 72=10y+2y----------> y=72/12---------> y=6

the answer is
the length of the short side of rectangle is 6 m

Compare 0.3 and 0.8 using >,=,or <. Draw a model or number line to support your solutions

Answers

0.3 < 0.8. I can't do the #line on here tho. Sorry.

A circle has a radius of 26.85 inches what is the circumference of this circle

Answers

The circumference of the circle is 168.7 in

Circumference = 2 x [tex] \pi [/tex] x radius

We'll use 3.14 for Pi

2 x 3.14 = 6.28

6.28 x 26.85 = 168.61800

Round
168.62
or
168.6
or
169
(it all depends on how you round)

If Lewis's house increases in value by 3% each year over two decades, he could still lose money when he sells the house if _____.

Select the best answer from the choices provided.

a) interest rates on mortgages fell 3% over the same time
b) his repair and maintenance costs were more than 3% a year
c) homes in other areas of town lost more than 3% of their value
d) his down payment was significantly more than 3% of the house value

Answers

If Lewis's house increases in value by 3% each year over two decades, he could still lose money when he sells the house if the interest rates on mortgages fell 3% over the same time. This is because falling in the value if the interest rates will cause potential buyers to move to the areas where the mortgage rates are lower as opposed to sticking to the homes in which the rates are 3%

The correct answer is:

b) his repair and maintenance costs were more than 3% a year

Explanation:

Lewis's house increases in value by 3% each year. However, if he spends more than 3% of the value of his home each year in repairs and maintenance, when he sells the home, he will not be making money; he will in fact lose money, compared to what he's spent the last two decades.

Evaluate 10x^2y^-1 for x=3 and y=2

Answers

So x will equal to 45

10*9*2^-1
10*9*1/2

9/2

45

Answer:

[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.

Step-by-step explanation:

In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]

You obtain: [tex]\frac{10x^{2} }{y}[/tex]

Now, you have to replace the given values of x and y in the previous expression:

x=3 and y=2

[tex]\frac{10(3)^{2} }{2}[/tex]

Solving the square:

[tex]\frac{(10)(9)}{2}[/tex]

Solving the multiplication and division:

[tex]\frac{90}{2} = 45[/tex]

The answer is 45

In a recent semester at a local university, 490 students enrolled in both General Chemistry and Calculus I. Of these students, 61 received an A in general chemistry, 63 received an A in calculus, and 25 received an A in both general chemi: and calculus Find the probability that a randomly chosen student received an A in general chemi stry or calculus or both

Answers

i think its 149/ 490. Not sure, but pretty confident. Hope this helps.

what is the volume of the 3d shape created by rotating the square with side lengths of 14cm

Answers

I believe it is 718.4 cm ^3

What are the direction indices for a vector that passes from point 34 1 12 to point 14 12 1 in a cubic unit cell? please indicate negative directions by a "-" sign before the integer and omit spaces between numbers?

Answers

First let's rewrite both points:
P = (34, 1, 12)
Q = (14, 12, 1)
From P to Q, we have:
PQ = Q-P
PQ = (14, 12, 1) - (34, 1, 12)
PQ = (14-34, 12-1, 1-12)
PQ = (-20, 11, -11)
Rewriting:
PQ = -20i + 11j -11k
Answer:
The direction indices for the vector are:
PQ = -20i + 11j -11k

Final answer:

The direction indices for a vector passing from point (34, 1, 12) to point (14, 12, 1) are calculated by subtracting the coordinates of the starting point from the ending point, resulting in the indices [-20 11 -11].

Explanation:

The student asked for the direction indices of a vector passing from point (34, 1, 12) to point (14, 12, 1) in a cubic unit cell. To determine the direction indices, we need to subtract the coordinates of the initial point from the coordinates of the final point. The resulting vector ∆r will have components ∆x, ∆y, and ∆z as follows:

∆x = 14 - 34 = -20∆y = 12 - 1 = 11∆z = 1 - 12 = -11

Therefore, the direction indices for the vector are written without spaces and with negative signs for negative directions. In this case, the direction indices would be [-20 11 -11].

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which equation are true for x=-2 and x=2 check all that apply

Answers

1 it is true
[tex] {x}^{2} - 4 = 0 \\ {x}^{2} = + 4 \\ x = \sqrt{4} = 2[/tex]
2 it's not true
[tex] {x}^{2} = - 4 [/tex]
3 it's not true
[tex]3 {x}^{2} + 12 = 0 \\ 3 {x}^{2} = - 12 \\ {x}^{2} = \frac{ - 12}{3} = - 4 \\ [/tex]
4 it's true
[tex]4 {x}^{2} = 16 \\ {x}^{2} = \frac{16}{4} = 4 \\ x = \sqrt{4} = 2[/tex]
5- it's true
[tex] {2(x - 2)}^{2} = 0 \\ {(x - 2)}^{2} = 0 \\ x - 2 = 0 \\ x = 2[/tex]

Answer:

A. [tex]x^2-4=0[/tex]

D. [tex]4x^2=16[/tex]

Step-by-step explanation:

To check which of the given equations have solution [tex]x=-2\text{ and }x=2[/tex], we will solve our given equations one by one.

A. [tex]x^2-4=0[/tex]

[tex]x^2-4+4=0+4[/tex]

[tex]x^2=4[/tex]

[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]

[tex]x=\pm 2[/tex]

[tex]x=-2\text{ or }x=2[/tex]

Therefore, option A is the correct choice.

B. [tex]x^2=-4[/tex]

To solve our given equation, we need to take square root of both sides of equation. Since square root is not defined for negative numbers, therefore, option B is not a correct choice.

C. [tex]3x^2+12=0[/tex]

[tex]3x^2=-12[/tex]

[tex]x^2=-4[/tex]

To solve our given equation, we need to take square root of both sides of equation. Since square root is not defined for negative numbers, therefore, option C is not a correct choice.

D. [tex]4x^2=16[/tex]

[tex]x^2=4[/tex]

[tex]\sqrt{x^2}=\pm\sqrt{4}[/tex]

[tex]x=\pm 2[/tex]

[tex]x=-2\text{ or }x=2[/tex]

Therefore, option D is the correct choice.

E. [tex]2(x-2)^2=0[/tex]

[tex](x-2)^2=0[/tex]

[tex]\sqrt{(x-2)^2}=\sqrt{0}[/tex]

[tex]x-2=0[/tex]

[tex]x=2[/tex]

Therefore, option E is not a correct choice.

Which expression is equivalent to (xy)z?

Answers

x/yz is the answer I believe

Answer:

C is the correct answer.

Step-by-step explanation:

Took the test.

x(yz)

Lin has 13 coins in her pocket that equal 40 cents. All the coins are dimes, d, and pennies, p. Which combination of coins does Lin have? Use the table to answer the question.

Answers

To answer this question you should begin with the coin that has a higher value. If you start with the dime and then just add the correct number of pennies to total $0.40, you will see that you will need 3 dimes ($0.30) and 10 pennies ($0.10).

I used a guess and check strategy starting with 2 dimes.

Answer:

The combination of coins are:

3 dimes and 10 pennies.

Step-by-step explanation:

Let there are d number of dines and p number of pennies.

Now as there are a total of 13 coins this means that:

d+p=13------(1)

and also the total value of the coins is 40 cents.

1 dime=10 cents

Hence, d dime= 10 d cents

Also, 1 penny= 1 cent

Hence p penny= p cents

Hence, we get:

10d+p=40------(2)

On subtracting equation (1) from (2) we get:

9 d=27

on dividing both side by 9 we get:

d=3

On putting the value of d in equation (1) we get:

3+p=13

i.e. p=13-3

i.e. p=10

The combination is:

3 dimes and 10 pennies

If the area of the parallelogram is 540 in^2 what is the missing height?

Answers

540 in^2 = (30 in)*(x in)
(540 in^2)/(30 in) = x in
18 in = x in

The height is 18 in.

PLEASE HELP WILL GIVE BRAINLIEST!!!! The graph shows the function f(x)=2^x

Answers

It easy really Just don't overthink it, but the answer is A. bro. Hope This Helps

For f(x)=4, we are trying to find the point (x, 4) on the graph.

We see that when y is 4, x is 3. Therefore, A is the answer.

What must be true of the discriminant the soulution to a quadratic equation is a set of 2 different real numbers?

Answers

1 The quadratic crosses the x axis in 2 different places
2 The quadratic has 2 different solutions.
3 The x value of the minimum or maximum is 1/2 way between these 2 solutions.
4 The y value of the minimum or maximum is found by substituting the x value into the original quadratic. (You can't really tell this from the discriminate, but it is an inferred property).

Jamel swam 92 meters in 4 minutes. Andre swam 105 meters in 5 minutes. Who is ther faster swimmer? Provide very clear evidence to support your answer.

Answers

92 divided by 4 = 23 so 23mpm (meters per minute)
105 divided by 5 = 21 mpm
so in this case Jamel is the faster swimmer

caleb and his classmates are making felt dog toys for a local animal shelter. how much red and yellow felt does his teacher need to buy so 20 students can each make a toy?

felt needed for each toy
1/8 sheet of white
3/8 sheet of red
5/8 sheet of yellow
1 1/8 sheets of black

Answers

Answer:

C ) 8 sheets of red and 13 sheets of yellow felt

Step-by-step explanation:

Final answer:

Caleb's teacher needs to purchase 7.5 sheets of red felt and 12.5 sheets of yellow felt so that each of the 20 students can make a dog toy.

Explanation:

To calculate the amount of red and yellow felt Caleb's teacher needs to buy for 20 students to each make a dog toy, we can multiply the amount of felt needed for one toy by the total number of students.

Red felt needed: 3/8 sheet per toy

Yellow felt needed: 5/8 sheet per toy

For red felt:

3/8 sheet x 20 students = 60/8 sheets

To simplify this, we divide 60 by 8, which equals 7.5 sheets. So, the teacher needs to buy 7.5 sheets of red felt.

For yellow felt:

5/8 sheet x 20 students = 100/8 sheets

After simplifying, 100 divided by 8 equals 12.5 sheets. Therefore, the teacher needs to acquire 12.5 sheets of yellow felt.

SUSAN NEEDS EXACTLY 4 PLATES ON EACH TABLE FOR THE BANQUET,AND 5 PLATES AT THE MAIN TABLE.IF SHE HAS 417 PLATES,HOW MANY TABLES IS SHE ABLE TO PREPARE?INCLUDE THE MAIN TABLE IN COUNT

Answers

Assuming that the table are all the same, the total number of plates in two tables is:
4+5=9 plates

the sets of 9 plates in the total of 417 plates are:
417/9=139/3
thus the total number of tables will be:
139/3*2
=92.6667~93 tables

What is the decimal value of the 2 in the hexadecimal number f42ac16?

Answers

f42ac16
we know that
to convert hex to decimal
Multiply every digit with 16 power of digit location

the digit location of number 2 is--------> 5
then
2*16^5=2097152

the answer is 2097152

Final answer:

The decimal value of the 2 in the hexadecimal number f42ac16 is 2.

Explanation:

The hexadecimal number f42ac16 can be split into individual digits, where each digit represents a power of 16. Starting from the rightmost digit, the 2 represents the digit in the 16^0 (1) place, which is simply 2. Therefore, the decimal value of the 2 in the hexadecimal number f42ac16 is 2.

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Tim Worker estimates his taxable income will be $7,000. He is paid twice a month or 24 times a year. Because Tim has only one source of income, he uses the Tax Tables to estimate how much will be deducted from his pay for withholding.

Answers

Answer: finds the tax rate for his income level: 10%

Enters the base amount 29.16

Enters the amount of tax owed: 700

Divides by: 10 =:700

Step-by-step explanation:

I took the test hope this helps

What is 21/16 simplified

Answers

There are 3 different ways you could write the answer:
1) 21 ÷ 6 = 1 and remainder = 5 =>
2) 1 [tex]1 \frac{5}{16} [/tex] (as a mixed fraction)
3) 1.3125

PLEASE HELP!!
A music store orders wooden drumsticks that weigh 96 grams per pair. The total weight of the box of drumsticks is 782 grams. How many pairs of drumsticks are in the box if the empty box weighs 206 grams?

_______ pairs?

Answers

(6 drumsticks)
All you have to do is 782-206 then divided by 96.

Answer: 6 Drumsticks

Step-by-step explanation:

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