Answers
9514 1404 393
Answer:
4. (d) 4.38 in³
5. (b) 19 gallons
6. (a) 6.4 yd³
Step-by-step explanation:
4. The equation can be rearranged to find the compressed volume.
Multiply both sides by the compressed volume:
(compression ratio)×(compressed volume) = (expanded volume)
Divide both sides by the compression ratio:
(compressed volume) = (expanded volume)/(compression ratio)
Fill in the numbers and do the arithmetic.
compressed volume = 46.0 in³/(10.5/1) = 4.38 in³
The compressed volume is about 4.38 in³.
__
5. The area to be covered is 3170 ft². We want to cover it twice, so the total area we want to cover is 2×3170 ft² = 6340 ft². One gallon of paint covers 350 ft². We want to find the smallest integer number of gallons n such that ...
n×(350 ft²) ≥ 6340 ft²
Dividing by the coefficient of n, we have ...
n ≥ 6340/350 ≈ 18.11
The smallest integer value of n is 19. 19 gallons of paint will be needed.
__
6. The quantity of sand needed (q) is proportional to the area to be covered, so we have ...
q/(400 yd²) = (1.6 yd³)/(100 yd²)
Multiplying both sides of this equation by 400 yd² gives ...
q = (1.6 yd³)(400/100) = 6.4 yd³
6.4 yd³ of sand will be needed.
Related Questions
A 15-foot ladder leans against the side of a house with its base 4 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.
Answers
Answer: The ladder reaches 14.46 feet up of the building.
Step-by-step explanation:
According to Pythagorean theorem,
In a right triangle,
(Hypotenuse)²= (Base)²+(perpendicular)^2
Using given information, we have
[tex](15)^2=(4)^2+(height)^2\\\\225=16+(height)^2\\\\(height)^2=209\\\\ (height)^2=\sqrt{209}\approx14.46\ feet[/tex]
Hence, the ladder reaches 14.46 feet up of the building.
maths question is here
9+92*12312
Answers
Answer:
it would be 101 i believe
Answer:
1,132,713
Step-by-step explanation:
9+ 92 * 12312
= 9 + 1,132,704
= 1,132,713
factorize (2u+3u)(u+v)-2u+3v
Answers
Answer:
Step-by-step explanation:
(2u+3u)(u+v)-2u+3v
=2u(u+v)+3u(u+v)-2u+3v
=2u^2+2uv+3u^2+3uv-2u+3v
=5u^2+5uv-2u+3v
An alligator if drawn at the scale of 1:84. In the drawing, it is 5.9 cm long. How long is the actual alligator? i am having troubles please help.
Answers
Answer: r
Step-by-step explanation:
Answer:
495.6 cm, or 4.956 m
Step-by-step explanation:
1:84 means that a centimeter on the drawing has to be multiplied 84 times in order to find the real length. Therefore, 5.9 x 84 = 495.6
Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he sold a total of 985 items for $7343.75. How many steak sandwiches did he sell?
Answers
Answer:
634 steak sandwiches.
Step-by-step explanation:
Let's say X is the number of hot dogs and Y is the number of steak sandwiches.
2.95x + 9,95y = 7343.75
x + y = 985
y = 985 - x
2.95x + 9.95(985-x) = 7343.75
2.95x + 9800.75 - 9.95x = 7343.75
7x = 2457
x = 351
y = 985 - 351
y = 634
Find the value of x.
Answers
Which is the inverse of the following statement?
If the measure of an angle is 90°, then it is a right angle.
Answers
30p+2
can you please answer
Answers
Answer:
2(15p+1)
Step-by-step explanation:
hope this helps
Determine the missing angle in the picture below.
Answers
Answer:
x =41.18114952
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
We know the hypotenuse and adjacent sides
cos theta = adjacent / hypotenuse
cos x = 14.3/19
taking the inverse cos of each side
cos^-1 (cos x) = cos ^-1 ( 14.3/19)
x =41.18114952
Answer:
Step-by-step explanation:
take x degree as reference angle
using cos rule
cos x=adjacent/hypotenuse
cos x=14.3/19
cos x=0.75
x=cos 41
x= 41 degree
How many solutions will the following equation have? 2x - 7 = -3x + 5
a. One Solution
b. Infinite Solutions
c. No Solutions
Answers
Answer:
one solution lets see[tex]2x - 7 = 3x + 5 \\ - x = 12 \\ x = - 12[/tex]
If you just want to check then substitute the value
[tex]2x - 7 = 3x + 5 \\ 2 \times ( - 12) - 7 = 3 \times ( - 12) + 5 \\ - 24 - 7 = - 36 + 5 \\ - 31 = - 31[/tex]
Hope it helps
)A set of equations is given below:
Equation A: y = x + 1
Equation B: y = 4x + 5
Which of the following steps can be used to find the solution to the set of equations?
x + 1 = 4x + 5
x = 4x + 5
x + 1 = 4x
x + 5 = 4x + 1
Answers
Answer:
x + 1 = 4x + 5
Step-by-step explanation:
Simultaneous equations to solve x so equate the equations together.
Answer: x + 1 = 4x + 5 (first option)
Jeanette's Pie Shop recently sold 14 pies, of which 4 were blackberry pies. What is the experimental probability that the next pie sold will be a blackberry pie?
Write your answer as a fraction or whole number.
P(blackberry pie)=
Answers
Answer:
2/7
Step-by-step explanation:
All I did was just simplify the fraction 4/14
4/14=2/7
Question 4(Multiple Choice Worth 1 points) (06.07 LC) Which expression is equal to 3x? Ox+ 3 Ox+ x + x O x + x2 0 2x + 1 ting
Answers
Answer:
the answer is :.......
x+x+x
Answer:
x+x+x
Step-by-step explanation:
Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of minutes student spend moving from class to class?
A. 10/120
B.no answer provided
C. 2/10
D. 10/60
E. 1/15
Answers
The area of a square is 58 inches, what is the side length
Answers
Answer:
About 7.62
Happy learning!
--Applepi101
Answer:
the side length is ≈7.62 in
Step-by-step explanation:
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a 20% discount
Answers
Answer: It's not equal to 20% discount.
Step-by-step explanation:
Let's assume the cost of a good is $100. Since there's 10% off on every item, the cost of the good will be:
= $100 - (10% × $100)
= $100 - $10
= $90
Since the coupon states that one will receive an additional 10% off, therefore the amount that the person will pay will be:
= $90 - (10% × $90)
= $90 - (0.1 × $90)
= $90 - $9
= $81
If the same good is $100 and there's a 20% discount, the amount that'll be paid will be:
= $100 - (20% × $100)
= $100 - (0.2 × $100)
= $100 - $20
= $80
Therefore, it's not equal to 20% discount.
|x| > - 16 what is the value of x
Answers
9514 1404 393
Answer:
x ∈ all real numbers
Step-by-step explanation:
The given inequality is true for any value of x. The absolute value of a quantity is always greater than any negative number.
What is the median of these numbers 2.4,2.8,2.3,2.9,2.9
Answers
Answer:
2.8
Step-by-step explanation:
x2.3, x2.4, 2.8, x2.9, x2.9
A mechanical system has 3 subsystems in series, each has reliabilities 98%, 96% and 94%, respectively. What is the overall reliability of the system
Answers
Answer:
The overall reliability of the system is 99.9952%
Step-by-step explanation:
Probability of the system not working:
None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So
0.02*0.04*0.06 = 0.000048
Probability of the system working:
1 subtracted by the probability of the systme not working.
1 - 0.000048 = 0.999952
0.999952*100% = 99.9952%
The overall reliability of the system is 99.9952%
4d = -16
what’s the value of d
Answers
[tex]4d = - 16 \\ \\ d = \cancel \frac{ - 16}{4} \\ \\ d = - 4[/tex]
Hope This Helps YouAnswer:
The value of d is -4. When you multiply 4 by -4 you get -16. If you want me to elaborate, let me know.
Step-by-step explanation:
What is the diameter of a circle with a circumference of 11.27pi ft? Use pencil and paper.
The diameter is ... ft
Answers
Answer:
[tex]circumference = \pi \: d \\ 11.27\pi = \pi \: d \\ d = 11.27 \: ft[/tex]
A website has a 24-hour sale offering 12% off all purchases.
Dina buys a sweatshirt in the sale.
She pays £24.20 for the sweatshirt.
Calculate the original price of the sweatshirt.
Answers
Answer:
the given 24.20 is not the discount so we have to subtract it by 100%
c and d for 20 pts
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Answers
Answer:
C. a = 7
D. c = -3
Step-by-step explanation:
C. 7(2a + 3) + 21 = 100+ 40
14a + 21 + 21 = 140
14a = 140 - 21 - 21
14a = 98
a = 7
D. 6+ 14 - 12c = 56
20 - 12c = 56
-12c = 56 - 20
-12c = 36
c = - 3
Answer:
Step-by-step explanation:
c.7(2a+3)+21=100+40
14a+21+21=140
14a+42=140
14a=140-42
a=98/14
a=7
d.6+14-12c=56
20-12c=56
-12c=56-20
c=36/-12
c=-3
The cost of producing x units of a product is $1.25 per unit plus $1,000 in flat production costs. If you spend $3,000 on production costs, how many units were produced?
3,000=1.25x+1,000
Answers
Answer:
1600
Step-by-step explanation:
1.25x + 1000 = 3000
Subtract 1000 from both sides
1.25x = 2000
Divide both sides by 1.25
x = 1600
Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour. How fast was Cathy driving?
Answers
Given :
Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit.
Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour.
To Find :
How fast was Cathy driving.
Solution :
Let, speed of Cathy is v miles per hour.
Number of miles per hour over the speed limit, n = v - 60 miles per hour.
It is given that speeders are fined $15 for each mile per hour over the speed limit.
So, total amount of fine for Cathy is :
105 = 15×( v - 60 )
v-60 = 7
v = 67 miles per hour
Therefore, Cathy was driving with speed of 67 miles per hour.
what is the area of the pentagon shown below a.27 square feet b. 58.5 c.85.5 d.117
Explain why.
Answers
Answer:
Option B, Area of pentagon = 58.5 Square feet
Step-by-step explanation:
The remaining part of the question is attached as image
Solution
Area of pentagon has a triangle and a trapezoid
Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet
Area of trapezoid = Area of rectangle – 2* area of smaller triangles
= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2
= 54 – (1*6*1.5)
Area of pentagon = 13.5 + 45 = 58.5 Square feet
Hence, option B is correct
Calculate the variance and the standard deviation for the following sample data. Scores: 7, 9, 0, 1, 7, 4, 4, 7, 6
Answers
Answer:
Variance = 9
Standard deviation = 3
Step-by-step explanation:
Step 1
Find the Mean
Means = Sum of values/Number of values
= 0 + 1 + 4 + 4 + 6 + 7 + 7 + 7 + 9/9
= 45/9
= 5
Step 2
The formula for Sample variance
= (x - Mean)²/n - 1
Where
n = number of values = 9
Hence:
Sample variance =
( (0 - 5)² + (1 - 5)²+ (4 - 5)² + (4 - 5)² + (6 - 5)² + (7 - 5)² + (7 - 5)² + (7 - 5)² + (9 - 5)²)/9 - 1
= (-5² + -4²+ -1² + -1² + 1² + 2² + 2² + 2² + 4²) /8
= (25 + 16 + 1 + 1 + 1 + 4 + 4 + 4 + 16)/8
= 72/8
= 9
Sample Standard deviation = √Sample variance
= √9
= 3
The value of the 2 in 43,290 is
times the value
of the 2 in 32,865.
Answers
9514 1404 393
Answer:
1/10
Step-by-step explanation:
The value of any digit is found by setting all other digits to zero.
The value of the 2 in 43,290 is 200.
The value of the 2 in 32,865 is 2,000.
200 is 200/2000 = 1/10 times 2000
The value of 2 in 43,290 is 1/10 times the value of 2 in 32865.
What is the outlier for the data set?
19, 19, 27, 21, 77, 18, 23, 29
Answers
Answer: 77
Step-by-step explanation:
NEED HELP ASAP!!!!
3/4 + (1/3 ÷ 1/6) - (-1/2)=?
A:1/4
B:1 1/4
C:3/4
D:2 1/4
⚠️NO LINKS OR I WILL REPORT⚠️
Answers
Answer:
anser is 3.24 or 3 and 1/4
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
3/4+(1/3 ÷1/6)-(-1/2)=
3/4+(2)+1/2
3/4+5/2
3/4+10/4
13/4
3 1/4