My bed is 3 inches by 2 inches by
What is the volume of my bed?
2
in
6 ins
3
in.
5
in
8 in
Answers
Option A
Volume of bed is [tex]2\frac{2}{3}[/tex] cubic inches
Solution:
Given are the dimensions of bed
To find: volume of bed
Since bed is generally of cuboid shape, we can use the volume of cuboid formula
volume of cuboid is given as:
[tex]\text{ volume of cuboid } = l \times w \times h[/tex]
Where, "l" is the length and "w" is the width and "h" is the height of cuboid
From attached figure in question
[tex]l = 2\frac{2}{3} inches = \frac{3 \times 2 + 2}{3} = \frac{8}{3} inches[/tex]
[tex]w = 3 inches[/tex]
[tex]h = \frac{1}{3} inches[/tex]
Substituting the values in formula,
[tex]v = \frac{8}{3} \times 3 \times \frac{1}{3}\\\\v = \frac{8}{3} = 2\frac{2}{3}[/tex]
Therefore volume of bed is [tex]2\frac{2}{3}[/tex] cubic inches
Related Questions
What expression is equivalent to 2x^2+2x-4/2x^2-4x+2
Answers
You need to factor the numerator and denominator...
(2x^2+4x-2x-4)/(2x^2-2x-2x+2)
(2x(x+2)-2(x+2))/(2x(x-1)-2(x-1))
((2x-2)(x+2))/((2x-2)(x-1)) so the (2x-2)s cancel out leaving
(x+2)/(x-1)
Answer:
[tex]\large\boxed{\dfrac{2x^2+2x-4}{2x^2-4x+2}=\dfrac{x+2}{x-1}}[/tex]
Step-by-step explanation:
[tex]\dfrac{2x^2+2x-4}{2x^2-4x+2}=\dfrac{2(x^2+x-2)}{2(x^2-2x+1)}=\dfrac{x^2+x-2}{x^2-2x+1}\\\\=\dfrac{x^2+2x-x-2}{x^2-x-x+1}=\dfrac{x(x+2)-1(x+2)}{x(x-1)-1(x-1)}\\\\=\dfrac{(x+2)(x-1)}{(x-1)(x-1)}\qquad\text{cancel}\ (x-1)\\\\=\dfrac{x+2}{x-1}[/tex]
HELP ASAP PLEASE
Which types of dilation are the given scale factors?
Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
Answers
-4= Contraction
2.5=Expansion
2/3= Contraction
-3/4= Contraction
Best way to solve this, if the scale factor is less than one, is a contraction. If it is greater than one, than it is an expansion.
Plz help me really really fast 2 mins left
Answers
Answer:
C
Step-by-step explanation:
The diagonal of the square creates 2 right triangles with the diagonal as the hypotenuse.
Using Pythagoras' identity in either of the right triangles.
The square on the hypotenuse is equal to the sum of the squares of the other 2 sides.
Let x be the side of the square, then
x² + x² = 40², that is
2x² = 1600 ( divide both sides by 2 )
x² = 800 ( take the square root of both sides )
x = [tex]\sqrt{800}[/tex]
= [tex]\sqrt{100(8)}[/tex]
= = 10[tex]\sqrt{8}[/tex]
= 10 × [tex]\sqrt{4(2)}[/tex]
= 10 × 2[tex]\sqrt{2}[/tex] = 20[tex]\sqrt{2}[/tex] → C
Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sign that is shaped like a triangle and similar to the first sign. The new sign will be 4 feet high.
Part A
Write a proportion that Steve can use to find the length, x, of the new sign.
Part B
What is the length, in feet, of the new sign? Make sure to show your work and explain your reasoning.
Answers
Answer: PART A : [tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]
PART B : 5.9 FEET
Step-by-step explanation:
Length of the first sign = 4.4 feet
height of the first sign = 3 feet
Length of the second sign = x feet
height of the second sign = 4 feet
If two shapes are similar , then the ratio of their sides are equal,
That is ;
[tex]\frac{h_{1}}{h_{2} }[/tex] = [tex]\frac{L_{1}}{L_{2} }[/tex]
PART A
[tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]
PART B
[tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]
cross multiplying , we have
3x = 4.4 x 4
3x = 17.6
Divide through by 3
x = 17.6/3
x = 5.86666666666667
x≈ 5.9 feet
Therefore , the length of the new sign is 5.9 feet
What is the equation of the graph below?
y = cos(x/0.4)
y = cos(5x)
y = cos(0.4x)
Answers
Answer:
The answer is C. y=cos(0.4x)
Step-by-step explanation:
took the test
Answer: c
Step-by-step explanation:
y=cos(0.4x)
For all values of x, which expression is equivalent to 2x + 5 − x + 3x + x − 2?
Answers
Answer:
5x + 3
Step-by-step explanation:
1) Collect like terms.
(2x − x + 3x + x) + (5 − 2)
2) Simplify
5 x + 3
Answer:
D.) hope this help if i don´t then o well
Step-by-step explanation:
A laptop case has an original price of $45. Ellen has a
coupon for 35% off the original price. Find how much
Ellen paid for the laptop case.
Answers
Answer:
29.25
Step-by-step explanation:
you need to take 35 and turn it into a decimal making it .35 then multiply 45 by .35 and you get 15.75 then subtract that from 45
The expression 4x gives the perimeter of a square with a side length of x units.
What is the perimeter of a square with a side length of 5/7?
Answers
Answer:
Perimeter of square is [tex]\frac{20}{7} \ units \approx2.86\ units.[/tex]
Step-by-step explanation:
Given:
Perimeter of square = [tex]4x[/tex]
where side length = 'x' units.
We need to find the Perimeter of square with side length[tex]\frac{5}{7}[/tex]
Now We know that;
[tex]x= \frac{5}{7}[/tex]
Substituting the value of x in perimeter of square formula we get;
Perimeter of square = [tex]4\times\frac{5}{7} = \frac{20}{7} \ units \approx2.86\ units.[/tex]
Hence Perimeter of square is [tex]\frac{20}{7} \ units \approx2.86\ units.[/tex]
(02.03) The table below shows two equations: Equation 1 |3x − 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions.
Answers
Answer:
We can say that equations 1 and 2 have no solutions.
Step-by-step explanation:
The equation 1 is |3x − 1| + 7 = 2 ........ (1)
⇒ |3x − 1| = - 5
This equation is invalid as the absolute value of (3x - 1) will always be positive and here it is - 5.
Therefore, this above equation has no solution.
The equation 2 is |2x + 1| + 4 = 3 ........ (2)
⇒ |2x + 1| = - 1
This equation is invalid as the absolute value of (2x + 1) will always be positive and here it is - 1.
Therefore, this above equation has no solution.
Hence, we can say that equations 1 and 2 have no solutions. (Answer)
Kenny wants to place a picture frame in the center of a wall that is 17 3/4 feet wide. The picture is 2 3/4 feet wide. How many feet from each side of the wall must the frame be so that it is centered?
Answers
Answer:
The distance of frame from each side of the wall so that it is at centered is 7.5 feet
Step-by-step explanation:
Given as :
The measure of the wall = 17[tex]\dfrac{3}{4}[/tex] feet
i.e The measure of the wall =[tex]\dfrac{71}{4}[/tex] feet
The measure of the picture = 2[tex]\dfrac{3}{4}[/tex] feet
i.e The measure of the picture =[tex]\dfrac{11}{4}[/tex] feet
Let The distance from each side of wall so that frame at centered = x feet
Now, According to question
x = The measure of the wall - measure of the picture
Or, x = [tex]\dfrac{71}{4}[/tex] feet - [tex]\dfrac{11}{4}[/tex] feet
Or, x = [tex]\dfrac{71 - 11}{4}[/tex] feet
Or, x = [tex]\dfrac{60}{4}[/tex] feet
∴ x = 15 feet
Now, For each side so that frame st centered = [tex]\dfrac{15}{2}[/tex] feet
Or, For each side so that frame st centered = 7.5 feet
Hence,The distance of frame from each side of the wall so that it is at centered is 7.5 feet Answer
Complete the inequality statement.
14 ft ____ 4 1/2 yd.
<
>
=
Answers
14 ft > [tex]4\frac{1}{2}[/tex] yards
Step-by-step explanation:
Given,
14 ft ____ 4 1/2 yd.
We will convert yards into feet to determine the inequality.
1 yard = 3 feet
[tex]4\frac{1}{2}[/tex] yards = [tex]3*4\frac{1}{2}[/tex]
[tex]4\frac{1}{2}[/tex] yards = [tex]3*\frac{9}{2}[/tex]
[tex]4\frac{1}{2}[/tex] yards = 3*4.5 = 13.5 feet
which is less than 14 feet, making 14 feet greater, therefore, we will use 'greater than' inequality.
14 ft > [tex]4\frac{1}{2}[/tex] yards
Keywords: inequality, conversion
Learn more about conversion at:
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Answer:
>
Step-by-step explanation:
A teacher gave a math test to 48 students. The five-number summary of the test scores is shown.
Answers
Answer:
Its 24 and 12
Step-by-step explanation:
Answer:
He's right
Step-by-step explanation:
solve the system of equations below.
2 x 4 y = 10
2 x 4y = -10
A. X=3, Y=1
B. X=6, Y= -4
C. No solution
D. Infinitely many solutions
Answers
Let’s solve this. First we need to put the first equation into y=mx+b form. Let’s do this now.
First equation-
2•4y=10
*subtract 2*
4y=8
*divide 4*
y=2
Now that we know the value of y, let’s substitute that into the second equation.
2•4y= -10
2•4(2)= -10
2•8= -10
16= -10
When solved, these equations produce a result where both sides do not equal each other. 16 does not equal -10, making this have no solution.
This is your answer! Hope this helps comment below for more questions :)
May someone please help me?
Answers
Answer:
grapes cost $1.25 per pound
blueberries cost $4 per pound
Step-by-step explanation:
We have two unknowns, the cost of grapes and the cost of blueberries.
I'll call grape g and blueberries b.
since 21lb grapes and 44lb of blueberry cost $202.25, we can set up our first equation.
21g + 44b = 202.25
and the question also said 30lb grape and 22lb blueberries cost $125.50, we can set up our second equation.
30g + 22b = 125.5
now that we have two equations, you can use any methods you want to solve for the variable. I'm gonna use elimination.
21g + 44b = 202.25
-2(30g + 22b = 125.50)
━━━━━━━━━━
-39g = -48.75
g = 48.75/39
g = 1.25, grapes cost $1.25 per pound
now use substitution to find the cost of blueberries. you know the value of g now so plug it back in to one of the equation.
21g + 44b = 202.25
21(1.25) + 44b = 202.25
26.25 + 44b = 202.25
44b = 176
b = 4 , blueberries cost $4 per pound
This scatter plot for a fund-raiser shows the time spent raising money for 9 student events. Noting the trend in the scatter plot, which is the most reasonable approximation of the money raised in the 11-hour fund-raiser?
Answers
Answer:
About $90, because the trend line shows that value for $11.
Step-by-step explanation:
It is the only one that shows a constant rate of change.
Answer:
the first one ( the line closest to 90)
Step-by-step explanation:
if there are 170 students in 12th grade what percentage of 12th grade students have more then one college in mind? round to the nearest percent
Answers
Answer:
nearest percent is about 56%
Answer:
56
Step-by-step explanation:
The width of a rectangle is seven meters less than the length. The perimeter is 58 meters. Find the length and width.
Answers
Width = x - 7
Perimeter = 2* length + 2* width
58 = 2x + 2(x - 7)
58 = 2x + 2x - 14
4x = 58 + 14
4x = 72
x = 18
Length = 18 inches
Width = 11 inches.
Hope this helps.
:)
The length of rectangle will be 18 meters and width of rectangle will be 11 meters.
It is given that width of a rectangle is seven meters less than the length.
If perimeter of rectangle is 58 meters then find the value of length and width.
What are the area and perimeter of a rectangle ?
The area of rectangle is A = L × B and the perimeter is 2 ( L + B ) , where ; L = length and B = width.
Let's assume the length of the rectangle is x.
The width of the rectangle will be ;
= x - 7
Also ; the perimeter of triangle is given which is equal to 58 meters.
We know that ; the perimeter of triangle is given by ;
Perimeter = 2 × ( length + width )
So ;
58 = 2 [ x + (x - 7)]
58 = 2 ( 2x - 7 )
58 = 4x - 14
or
4x = 58 + 14
4x = 72
x = 72 ÷ 4
x = 18 meters
So ;
Length = 18 meters
and
Width = 18 -7 = 11 meters
Thus , the length of rectangle will be 18 meters and width of rectangle will be 11 meters.
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Write a two column proof
Answers
Answer:
see the explanation
Step-by-step explanation:
The correct question is
Prove ∠H≅∠J
we know that
The Angle-Side-Angle postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent,
we have
∠HIG≅∠JKI ----> given problem
∠HGI≅∠JIK ----> by corresponding angles (HG and JI are parallel lines)
GI≅IK ----> given problem
so
two angles and the included side of triangle HIG are congruent to two angles and the included side of triangle JKI
therefore
triangle HIG ≅ triangle JKI ---> by ASA postulate
Remember that
If two figures are congruent, then its corresponding sides and corresponding angles are congruent
Hence
∠H≅∠J ----> by definition of congruence (corresponding angles are congruent)
How many ounces does a 2-ton rhinoceros weigh?
Answers
Answer:
64,000 ounces
Step-by-step explanation:
1 ton = 32,000 ounces
2 tons x 32,000 ounces (which is equal to one ton)
=64,000 ounces
2 tons = 64,000 ounces
A 2-ton rhinoceros weighs 64,000 ounces, which is calculated by converting tons to pounds and then pounds to ounces.
Explanation:The weight of a rhinoceros weighing 2 tons can be calculated in ounces by first converting the weight to pounds. As we know from previous examples, 1 ton = 2,000 pounds. So, a 2-ton rhinoceros weighs 2 × 2,000 = 4,000 pounds. Now, to convert pounds to ounces, we use the conversion factor that 1 pound = 16 ounces. Therefore, a 2-ton rhinoceros weighs 4,000 × 16 = 64,000 ounces.
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The average growth of human hair is 0.5 inch
per month. Find how long it takes a human to
grow 3 inches of hair.
Equation:
Solution:
Answers
Answer:6
Step-by-step explanation:
Answer:
6 months
Step-by-step explanation:
3 divided .5 = 6
2 months = 1 inch
1 inch x 3 = 3 inches
2 months x 3 = 6 months
What is the reason for the last step in the argument?
A) division
B) addition
C) subtraction
D) symmetric property
Answers
Answer:
A) division
Step-by-step explanation:
4x=-4
4x/4=-4/4 (dividing by 4 on both sides)
x=-1
Y/4-9=-3please explain how you got the answer in detail if what you did to get the answer you got.
Answers
Answer:
24
Step-by-step explanation:
y/4-9=-3
y/4=-3+9
y/4=6
y=6*4
y=24
please what is the derivative of y=cos(^7)base x
Answers
The derivative of y=cos(^7)base x is
Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))
Step-by-step explanation:
step 1 :
y= (cos(7x))x
Take the natural logarithm of either side, bringing the t x down to be the coefficient of the right hand side we get the answer:
step 2 :
⇒ln y = xln (cos (7x))
Differentiate each side with respect to x. The rule of implicit differentiation: ddx (f(y)) = f'(y) ⋅ dydx
step 3 :
∴1y ⋅ dydx = ddx (x) ⋅ln (cos(7x)) + ddx (ln (cos(7x)))⋅x
Use the chain rule for natural logarithm functions – ddx ( ln (f(x)) )= f'(x)f(x) - we can differentiate the ln (cos (7x))
step 4 :
Ddx (ln (cos(7x))) = −7xsin (7x) cos( 7x 7tan (7x)
Returning to the original equation:
1y ⋅dydx = ln (cos(7x))−7xtan(7x)
Substitute the original y as a function of x value from the start back in.
Dydx = (cos(7x))x⋅(ln(cos(7x))−7x(tan(7x)))
Round 1.143 to the nearest hundredth
Answers
Answer:
1.14
Step-by-step explanation:
hundreth = 0.01
so we ignore the 3 because it is in teh thousandths
hope this helps :)
1.14
A tile pattern has 5 tiles in Figure 0 and adds 7 tiles in each new figure. Write the equation of the line that represents the growth of this pattern
Answers
y = 5 + 7x
where y is the number of tiles and x is the number of the figure.
The leader board at the Lakeside Golf Tournament shows that Mei's score is 3 and Noah's score is -6. How many more strokes did Mei take than Noah?
A. 3
B. 9
C. 10
D. 8
Part B.
Find the total score made by Mei and Noah together.
Answers
Mai take 9 more strokes than Noah.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The leader board at the Lakeside Golf Tournament shows that,
Mei's score is 3 and Noah's score is -6.
Now,
Since, Mei's score is 3 and Noah's score is -6.
Hence, The number of more scores of Mei's than Noah is,
⇒ 3 - (-6)
⇒ 3 + 6
⇒ 9
Thus, Mei take 9 strokes more than Noah.
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A clothing store uses the step function f(x) to recommend jeans sizes as a function of x, a child’s height in inches. f(x) = StartLayout Enlarged left-brace 1st row 1st column 1 2nd column 40 less-than-or-equal-to x less-than 42 2nd row 1st column 2 2nd column 42 less-than-or-equal-to x less-than 44 3rd row 1st column 3 2nd column 44 less-than-or-equal-to x less-than 46 4th row 1st column 4 2nd column 46 less-than-or-equal-to x less-than 48 EndLayout According to the function, which is the height of a child who should wear size 2 jeans? 41.9 inches 42 inches 44 inches 44.1 inches
Answers
Answer: B. 42 inches
Step-by-step explanation:
Answer:
42 inches
Step-by-step explanation:
The function states in its second row that for size 2, the range of x (a child’s height in inches) is 42 ≤ x < 44. Then, the option 41.9 is incorrect because is less than 42 and x is greater-or-equal-to 42; option 44 inches is incorrect because it is equal to 44 and the equality sign is not included; option 44.1 inches is greater than 44 and x is less than 44; and option 42 inches is correct because x is greater-than-or-equal to 42, that is, the equal sign is included.
simplify the expression-
3k+ -9k+ -6+10k
Answers
Answer:
4k-6
Step-by-step explanation:
[tex]3k+ -9k+ -6+10k=3k-9k-6+10k=4k-6[/tex]
Answer:
4k-6
Step-by-step explanation:
3k+-9k=-6k ; -6k + 10k = 4k ; 4k+ -6 = 4k-6
PLZ help super really super fast
Answers
Answer:
The one in the top left corner and bottom middle
List ways to show 46 as tens and ones
Answers
Answer:
4 tens 6 ones
Step-by-step explanation:
those are the only way
The number 46 can be expressed as 4 tens and 6 ones, representing the value 40 plus 6, utilizing the powers of ten place value system.
Explanation:When expressing the number 46 in terms of tens and ones, we use the place value system which is based on powers of ten.
In this system, each place in the number represents a power of 10.
To represent 46 as tens and ones, we look for the highest power of ten that fits into the number without exceeding it.
In the case of 46, that value is 40, because 4 tens (4 x 10) equal 40, and there are 6 ones left over.
Therefore, we can say that 46 consists of 4 tens and 6 ones. This can be shown visually as: