Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
Image_7181
If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase
Answers
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; Only toy chest A will provide the necessary storage space
Possible question options obtained from a similar question found online are;
Either toy chest have the storage space needed
Neither has the storage space needed
Only toy chest A
Only toy chest B
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Related Questions
Solve the inequality -3/4(12x+16)<9-5x.
Answers
Answer:
x > -21/4
Step-by-step explanation:
Answer:
x > -24/4
Step-by-step explanation:
-3/4 (12x + 16) < 9 - 5x
-3/4 * 12x - 3/4 * 16 < 9-5x
-9x - 3/4 * 16 < 9 - 5x
-9x - 12 < 9 - 5x
-4x - 12 < 9
-4x < 21
Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm
Answers
Answer:b
:D
Step-by-step explanation:d
504
The list of ordered pairs below represents a function.
{(-12, –8), (-2,7), (0,4), (-4,3)}
Find the range of the function. Write your answer' as a comma separated list.
Answers
Answer:
{-8, 3, 4, 7}
Step-by-step explanation:
range is y values in the ordered pairs
{-8, 3, 4, 7}
$10.25 per hour x 25 hours round to the nearest cent
Answers
Answer:
256.25
Step-by-step explanation:
$10.25 not taxed x 25
СЕ
What is the product of
(5m2) (2m -3)
7
7m6
10
10m6
Answers
Answer:
10m^3-15m^2
Step-by-step explanation:
Materials and labor for each pet groomed
costs $15. The business also has fixed costs
of $1,000 each month. Define a cost
function for this business.
Answers
Answer:
f(x) = 15x + 1,000
Step-by-step explanation:
y = mx + b
the 15 is the slope or rate and 1000 is the fixed value ( y intercept)
Please take a look at the picture
Answers
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
find the slope and y intercept of y = -2x -18
Answers
Answer:
Slope = -2
y-intercept = -18
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.
Hope this helps you :)
What is the decimal multiplier to decrease by
15%?
Answers
Answer:
0.85
Step-by-step explanation:
Answer:
first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity
A gopher is in a hole that is 6 1/4 in. below the surface of the ground. It then digs 7 1/2 in. deeper. What is the gopher’s new elevation relative to the surface of the ground? Show your work.
Answers
Answer: 13 3/4
Step-by-step explanation:
The gopher’s new elevation relative to the surface of the ground will be
[tex]13 \frac{1}{4}[/tex] inches.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
A gopher is in a hole that is [tex]6 \frac{1}{4}[/tex] in. below the surface of the ground.
And, Then digs [tex]7 \frac{1}{2}[/tex] in. deeper.
Now,
The gopher’s new elevation relative to the surface of the ground will be calculated as;
⇒ [tex]6 \frac{1}{4} + 7 \frac{1}{2}[/tex]
⇒ 25/4 + 15/2
Make denominators same as;
⇒ 25/4 + 30/4
⇒ (25 + 30) / 4
⇒ 55 / 4
⇒ [tex]13 \frac{1}{4}[/tex] inches.
Thus, The gopher’s new elevation relative to the surface of the ground will be [tex]13 \frac{1}{4}[/tex] inches.
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How to factor out a polynomial with a 3rd degree.
Answers
Answer:
How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256
Answer:
long division is probably the simplest method of finding out the factors
Step-by-step explanation:
For example, let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.
when 8 is subtracted from a certain number and the result is multiplied by 3 and the answer is 21 what is the original number
Answers
Step-by-step explanation:
The Real Answer Is 63
Maybe Positive Or Negative
of the three lines in the graph one has slope m = 1 one has slope m = 2, and one has slope m = 1/5.
Put the lines in order from greatest to least slope.
Answers
Answer:
1/5 1 2
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) 4
Answers
Answer:
Step-by-step explanation:
would be nice to have a look at the options.
Here's a few I could come up with
44
32 + 12
8(4) + 3(4)
11(4)
The cost of 1 m ribbon is ₹ 75. Find the cost of 7/5 metres of ribbon
Answers
Given that
The cost of 1 m ribbon = Rs.75
The cost of 7/5 m ribbon
→ (7/5)×75
→ (7×75)/5
→7×15
→₹ 105
The cost of 7/5 m ribbon is ₹105.
What decimals are equal to 1.5^3
Answers
Answer:
3.375
Step-by-step explanation:
What’s 28,561 in expanded form
Answers
Step-by-step explanation:
2×10,000 + 8×1000 + 5×100+6×10+1
Describe fully the tranformation that takes shape P to shape Q
Answers
Answer:
Enlargement (aka: Dilation)
Step-by-step explanation:
As the triangle's scale factor is 3, The triangle P enlarges by 3 onto triangle Q.
Answer:
dilation by a scale factor by 3 about (1, 0)
Step-by-step explanation:
it is dilation by a scale factor of 3
see the below picture to find the center of dilation formula
(2, 1) (4, 3) points of transformation
center = (3*2 - 4 / 3 - 1, 3*1 - 3 / 3 - 1)
= ( 6 - 4 / 2, 0)
= (1, 0)
so single transformation is dilation by a scale factor by 3 about (1, 0)
if a2-b2=c2. find c if a=5 and b=3
Answers
Answer:
c=2
Step-by-step explanation:
translation:
5x2-3x2=c2
10-6=4
4=c2
4/2=c2/2=c=2
When a = 5 and b = 3, the value of c is 4, based on the equation [tex]a^2 - b^2 = c^2[/tex].
Given the equation [tex]a^2 - b^2 = c^2[/tex] and the values a = 5 and b = 3, we can substitute these values into the equation and solve for c.
Substituting a = 5 and b = 3:
[tex](5)^2 - (3)^2 = c^2\\\\25 - 9 = c^2\\\\16 = c^2[/tex]
Taking the square root of both sides:
c = √16
c = 4
Therefore, when a = 5 and b = 3, the value of c is 4.
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Complete Question:
If [tex]a^2 - b^2 = c^2[/tex]. find c if a=5 and b=3.
How to solve this question? Adding algebraic fractions
Answers
Answer:
it should be 2/12 and 9/11
Step-by-step explanation:
Amazon Inc. has been sued for following three alleged infringements of law: (1) Unauthorized use of a trademark; the claim is for $100 million (2) Nonpayment of end-of-service severance pay and gratuity to 5,000 employees who were terminated without Amazon Inc. giving any reason; the class action lawsuit is claiming $3 million (3) Unlawful environmental damage for dumping waste in the river near its factory; environmentalists are claiming unspecified damages as cleanup costs (4) Legal counsel is of the opinion that not all the legal cases are tenable in law and has communicated to Amazon Inc. this assessment of the three lawsuits: (5) Lawsuit 1: The chances of this lawsuit are remote. (6) Lawsuit 2: It is probable that Amazon Inc. would have to pay the displaced employees, but the best estimate of the amount that would be payable if the plaintiff succeeds against the entity is $2 million. (7) Lawsuit 3: There is no current law that would compel the entity to pay for such damages. There may be a case for constructive obligation, but the amount of damages cannot be estimated with any reliability. Required: What should be the provision that Amazon Inc. should recognize or the contingent liability that it should disclose in each of the lawsuits, based on the assessments of its legal counsel?
Answers
The International Financial Reporting Standards developed standards can
be implemented to ascertain the provisions and disclosures to be made.
The correct responses are;
According to the financial reporting standard, the contingent liability that
Amazon Inc. should disclose and the provision that Amazon Inc. should
recognize, based on the legal consent are;
Lawsuit 1: It is not required to make provision or disclosure because the
probability of the lawsuit progressing is remote and therefore, the
Company will not be required to payout money or lose economic benefits.
Lawsuit 2: The likelihood of the Company having pay the displaced
employees is high however, the amount payable is $2 million, and
therefore, a provision of $2 million is required in the financial reporting.
Lawsuit 3: The Company is not legally obliged to pay for or perform the
cleanup, but based on the relationship between the Company's waste
location, the river, and the community, there is a constructive obligation,
the amount of which cannot be determined with reliability.
Therefore, there is a requirement for disclosure as a contingent liability,
and not a provision as the claim cannot be classified as a provision.
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Please answer! Only if correct, please.
Answers
Answer:
f(-4) = -6
g(2) = -14
Step-by-step explanation:
To evaluate a function we must plug in the values of x. So for:
f(x) = 2x+2
we have:
f(-4) = 2(-4)+2
then we simplify:
f(-4) = -8+2
so f(-4) = -6
Now the same steps are taken for g(x) in which the answer would be -14.
can someone help with this
Answers
Step-by-step explanation:
A. n is the number of persons excluding chaperones
B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)
C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).
Two sides of a triangle measure 27 inches and 32 inches.
Which could represent the length of the third side?
Answer options:
5 in
59 in
7 in
62 in
Answers
Answer:
62 in
Step-by-step explanation:
the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.
What is 5 times 9 divided 5 add 40 subtract 100
Answers
Answer:
-51
Step-by-step explanation:
Use Pythagoras Theorem to determine which of the following shapes are rectangles. please awnser
Answers
Answer:
(a) - no, (b) - yesStep-by-step explanation:
Use equation and compare results:
d² = a² + b²(a)
10.15² = 8.1² + 6.3²103.0 ≠ 105.3, no(b)
15.31² = 14.4² + 5.2²234.4 = 234.4, yes#a
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]
[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]
[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]
No
#b
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]
[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]
[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]
Yes
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
PLEASEEEEE I BEG YOUUU 50 POINTS!!!!!!!~~~~~
Aubrey wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Aubrey could use a printer who charges a setup fee of $38 and $3 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $34 and $4 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?
Answers
Answer:
Copies cost for the first case = $ 12
Copies cost for the second case =$16
Number of Copies = 4
Step-by-step explanation:
Let the number of copies = N
. for the first case: total cost (T1) = 38 + 3N
. for the second case: total cost (T2) = 34 + 4N
Determine the ‘N’ when the cost is equivalent
So, 38 + 3N = 34 + 4N
38 – 34 = 4N – 3N
N = 4
Therefore, number of copies = 4
Copies cost for the first case = 3 × 4 = $12
Copies cost for the second case = 4 × 4 = $16
#1.
Set up fee=$38Cost per copy=$3Expression
[tex]\sf\longmapsto 38+3x[/tex]
#2
Set up fee=$34Cost per copy=$4Expression
[tex]\sf\longmapsto 34+4x[/tex]
Now
[tex]\sf\longmapsto 4x+34=3x+38[/tex]
[tex]\sf\longmapsto x=4[/tex]
There were 4copies
A car is travelling at a constant speed until the car’s brakes are applied. The car’s speed changes at a rate given by -0.08t ms^{-2} after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms^{-1} . How far will the car travel with the brakes applied before it stops?
Answers
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
The acceleration of the car after t seconds that the brake was applied is given as:
[tex]a=-0.08t m/s^2[/tex]
The speed of the car after 3 seconds that the brake was applied, u = 5 m/s
The speed of the car when it eventually stops, v = 0m/s
3 seconds after the brake was applied:
The time, t = 3 seconds
substitute t = 3 into the acceleration [tex]a=-0.08t m/s^2[/tex]
[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]
To calculate the distance traveled by the car after the brakes are applied, use the equation below
[tex]v^2=u^2+2as[/tex]
Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance
[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
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You may use a calculator for this item,
Zach, Kolby, and Peyton are investing a total of $360,000 to open a cottee shop Their investments are in the radio
1:2:0.5, respectively
How much has Zach invested, in dollars?
Enter your answer in the space provided
Answers
Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.
First thing to do is to add up the numbers in the ratio:
= 1 + 2 + 0.5
= 3.5
The amount that Zach invested is:
= Zach's ration/ Sum of ratio x Amount invested
= 1 / 3.5 x 360,000
= $102,857.14
In conclusion, Zach invested $102,857.14.
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Find the shaded area
Answers
152 hope this helps!!
Answer:
30
Step-by-step explanation: