A box has a volume of 135 feet3. The length is same as the height, and the width is 5 times the length. What are the dimensions of the box?
The dimensions of the box are: length=3 feet, width=15 feet, and height=3 feet.
Explanation:This is a classic problem of volume where we need to consider the volume formula of a box, which is length × width × height. The question states that the box has a volume of 135 cubic feet, with the length being the same as the height, and the width being 5 times the length.
To find the dimensions of the box, we can set up the equation: length × 5 ×length × length = 135. Simplifying, we get that the length is the cube root of 135/5, which equals to 3. Thus, the dimensions of the box are: length=3 feet, width=15 feet, and height=3 feet.
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10,14 and 18 can someone answer Pls pls
Answer:
10) 35
14) x = 1/2
18) 10 cm
Explanation:
For question 10, we can set up a proportional equation, cross-multiply and solve for the missing number:
[tex]\frac{x}{14} = \frac{5}{2}[/tex]
2x = 14(5)
2x = 70
2x / 2 = 70 / 2
x = 35
The missing number is 35
For question 14, we isolate variables on one side of the equation and constants on the other by performing whatever operations are necessary and then solve for the variable:
14x + 2 = 9
14x + 2 - 2 = 9 - 2
14x + 0 = 7
14x = 7
14x / 14 = 7 / 14
x = 7 / 14
x = 1/2
x = [tex]\frac{1}{2}[/tex]
For question 18, there are 10 millimeters (mm) in 1 centimeter (cm) so we can use this relationship so set up a conversion factor and cross-multiply to find the missing value like we did in question 10:
[tex]\frac{10}{1} = \frac{100}{x}[/tex]
10x = 100(1)
10x = 100
10x / 10 = 100 / 10
x = 10
There are 10 cm in 100 mm.
a what helps people in developing countries obtain minimal funding to start small businesses
Which situation involves descriptive statistics?
A. The survey shows that 1 in 3 moviegoers would attend a midnight showing.
B. A recent survey of the cost of new homes in the United States shows that the median price of a new home is up $15,000 since last year.
C. A reporter surveys some commuters in a city to estimate what percent of city’s commuters spend 45 minutes or more getting to work.
D. Eighty percent of the recipes in a cookbook require salt.
All options involve descriptive statistics, but option B is a classic example as it involves computation of a median, an important tool in descriptive statistics.
Explanation:Descriptive statistics is used to describe, show or summarize data in a meaningful way. All the options given indicate the use of descriptive statistics because they all describe a given population or set of data using numerical measures. However, the most classical use of descriptive statistics is found in option B: 'A recent survey of the cost of new homes in the United States shows that the median price of a new home is up $15,000 since last year.' This situation involves the computation of a median, a common measure in descriptive statistics, to summarize property price data.
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A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5
1/8hours in the afternoon, how many hours does she work in the evening?
Answer:
She worked [tex]6\frac{7}{8}[/tex] hours in evening.
Step-by-step explanation:
Suppose, x be the hours waitress worked in evening,
Given,
She works 1.75 hours less in the afternoon than in the evening.
Thus, the number of hours she worked in afternoon = x - 1.75,
According to the question,
[tex]x-1.75 = 5\frac{1}{8}[/tex]
[tex]x-\frac{175}{100}=\frac{41}{8}[/tex]
[tex]x-\frac{7}{4}=\frac{41}{8}[/tex]
[tex]x=\frac{41}{8}+\frac{7}{4}[/tex]
[tex]x=\frac{41+14}{8}[/tex]
[tex]x=\frac{55}{8}=6\frac{7}{8}[/tex]
Therefore, she worked [tex]6\frac{7}{8}[/tex] hours in evening.
what is the side length of a square with area 16 cm
The sum of three consecutive integers is 162. what is the smallest og these integers?
In FGH, mF = 65, mG = 55, and mH = 60. Which side of FGH is the shortest?
Answer: Fh is the shortest
Solve ax - by = f for x
help needed please.
A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?
Becky is 18 and would like to buy a house when she is 36. What is the discount factor for today's prices if the housing values increase 6% per year?
Answer: 35.0%
Step-by-step explanation:
An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.) 10.47 in.3 20.93 in.3 5.23 in.3 15.7 in.3
Answer:
The answer 5.23
Step-by-step explanation:
if a tree diagram were drawn to determine the number of possible outcomes when choosing one of 5 salads, one of 6 entrees, and one of 9 desserts, how many leaves would there be?
Answer:
270
Step-by-step explanation:
Just multiply.
5*6*9=270
Answer: There would be 270 leaves of a tree diagram.
Step-by-step explanation:
Since we have given that
Number of salads = 5
Number of entrees = 6
Number of desserts = 9
If we draw a tree diagram, we need to find the number of leaves there would be :
So, the number of leaves there would be is given by
[tex]5\times 6\times 9\\\\=270[/tex]
Hence, there would be 270 leaves of a tree diagram.
In a car how many miles do you go per day? How many days until you hit 10,000 miles?
The number of nails of a given length is normally distributed with a mean length of 5.00 in. and a standard deviation of 0.03 in. Find the number of nails in a bag of 120 that are less than 4.94 in. long.
About 3 nails is correct on grad point
The perimeter of a rectangular field is 242 yards if the width of the field is 54 yards what is the lenght
What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)
Answer:
[tex]a=7[/tex]
Step-by-step explanation:
we have
[tex]7(a-10)=13-2(2a+3)[/tex]
Solve for a
[tex]7a-70=13-4a-6[/tex]
Group terms that contain the same variable and move the constants to the other side
[tex]7a+4a=13-6+70[/tex]
Combine like terms
[tex]11a=77[/tex]
Divide by [tex]11[/tex] both sides
[tex]a=7[/tex]
(09.01 LC) Look at the figure below: A circle is shown with the center O. OP is a segment joining center O to a point P on the circle. MN is a line touching the cir Which is the tangent to the circle? (6 points) Segment OP Line ST Line MN Segment QR
Answer:
Line MN is the answer
Step-by-step explanation:
The coefficient of the term 76x2 is:
(2 is the exponent of 76x)
If the sample size gets smaller, how does that affect the shape of the smapling distribution of sample means
How do you factor the expression #2x^2+ 5x + 3#?
The amount of money in Nadia’s savings account is represented by the recursive formula mc010-1.jpg. If mc010-2.jpg, what are the first two numbers in the sequence? $25.36, $75.99 $50.00, $101.25 $101.25, $153.78 $75.99, $127.89
Answer:
a is correct
Step-by-step explanation:
How many different soccer teams consisting of 11 players can be formed from 18 players?
A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (A=lw), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches
Answer:
a - 21 inches
Step-by-step explanation:
Following the formula [tex]Area = l*w[/tex], we can find the length of the rectangle by plugging in values into the formula, then solving for [tex]l[/tex].
[tex]357=l*17[/tex]
[tex]\frac{357}{17} =\frac{l*17}{17} \\\\21=l\\l=21[/tex]
Can someone help with number 3
Assuming a truck container holds 24 cases, how many cases would 6 truck containers hold?
Answer:
6 truck containers can hold 144 cases
Step-by-step explanation:
A truck container holds 24 cases and we have to find number of cases would 6 truck container will hold.
We will solve this question by unitary method.
∵ One truck container holds cases = 24
∴ 6 truck containers will hold cases = 24×6 = 144
Therefore 144 cases is the answer.
To the nearest tenth, what is the area of the shaded segment when AG = 6 ft?
10.3 ft2
21.1 ft2
1.7 ft2
28.3 ft2
Answer:
Option A is correct.
Step-by-step explanation:
Given:
AG = 6 ft ⇒ Radius of the circle , r = 6 ft
⇒ GB = AG = 6 ft
To find: Area of shaded Segment.
Area of Shaded Segment = Area of Sector AGBA - Area of Δ AGB
Sector AGBA forming 90° angle at center. [tex]\implies\,\theta=90^{\circ}[/tex]
Area of Sector = [tex]\frac{\theta}{360}\times\pi r^2[/tex]
Area of Sector AGBA = [tex]\frac{90}{360}\times3.14\times6^2[/tex]
= [tex]\frac{1}{4}\times3.14\times36[/tex]
= [tex]28.26\:ft^2[/tex]
ΔAGB is a right angled triangle.
So, Area of ΔAGB = [tex]\frac{1}{2}\times AG\times GB[/tex]
= [tex]\frac{1}{2}\times6\times6[/tex]
= [tex]6\times3[/tex]
= [tex]18\:ft^2[/tex]
Area of Shaded Segment = 28.26 - 18 = 10.26 ≈ 10.3 ft²
Therefore, Option A is correct.
The function is defined below. find all values of that are not in the domain of . if there is more than one value, separate them with commas.
Find the point on the line 4x+4y+5=0 which is closest to the point (−2,−3).