A box in the shape of a rectangular prism has a volume of 160 cubic inches. The length of the box is 8 in. and the width of the box is 5 in. What is the height of the box?
Answer:
4 inches
Step-by-step explanation:
h=V/lw
=
160/8x5=4in
Answer:
4 inc
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
find the area of the shaded segment of the circle
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Answer:
(3/2π -(9/4)√3) m² ≈ 0.8 m²
Step-by-step explanation:
The area of the segment is the difference between the area of the sector and the area of the triangle.
sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians
triangle area = 1/2r²·sin(α) . . . . same variable definitions
Then the area of the segment is ...
segment area = sector area - triangle area
segment area = (1/2)r²(α -sin(α))
The central angle subtended by the segment is 360° -300° = 60° = π/3 radians
Then the segment area is ...
A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²
pls help me i’ll give u brainlest if correct
Answer:
0%
Step-by-step explanation:
there is only one card with a 6; if you select the 6 card and do not replace it there is zero possibility of selecting another 6 card
Please help me with this it’s confusing ,
Answer:
It’s the 4th one
Step-by-step explanation:
Life Span of Cats (in years)
The life spans of eight different cats were used to create the box plot shown above. Which of the following is the interquartile range of the set of life spans?
A.
5
B.
7
C.
3.5
D.
9
Answer:
5
Step-by-step explanation:
Answer:
i think its D.9
Step-by-step explanation:
cause 8 - 17 is 9
Abduls average speed is 40 mph in heavy traffic and his average speed is 50 mph in light traffic if he was in heavy traffic 1 hour and light traffic for 3 hours how far did Abdul travel
A. 90
B. 270
C. 190
D. 55
Answer:
c
Step-by-step explanation:
1 hour in heavy traffic = 40 miles
3 hours in light traffic = 50*3 = 150 miles
150+40 = 190 miles travelled
There are 74 milligrams of cholesterol in a 3.9 oz serving of lobster how much cholesterol is in 8 ounces of lobster
9514 1404 393
Answer:
151.8 mg
Step-by-step explanation:
Assuming the cholesterol content (c) is proportional to the serving size, we have ...
c/8 = 74/3.9
c = 8(74/3.9) ≈ 151.8 . . . . mg of cholesterol
Part A
Redcross Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile (m).
Katie has no more than $10 to spend on a ride.
Write an inequality that represents Katie’s situation.
Part B
How many miles can Katie travel without exceeding her limit?
A- m≤11
B- m≤12
C- m≤10
D- m≤13
Answer:
A. 10 is less than or equal to 1.75+0.65m
B. D
Step-by-step explanation:
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 −19x + 6, where x is time in minutes. Choose the appropriate form of the expression that would reveal the time in minutes when the trough is empty.
Answer:
(5x − 2)(2x − 3).
Step-by-step explanation:
Eddie is paid $17.25 per hour for a regular 37-hour week. His overtime rate is 1 times his regular hourly
rate. Use his time card above to find his total pay for the week.
Answer:
$638.25
Step-by-step explanation:
I multiplied 17.25 times 37. The product was $638.25.
I was a bit confused when it said,"His overtime rate is 1 times his regular hourly rate." Since it is 1 times his hourly rate, it shouldn't affect the answer.
At the time of her grandson's birth, a grandmother deposits $2000 in an account that pays 6.5% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
$41, 863. 50
Step-by-step explanation:
$2000 - 6.5% = $1,993.50
$1,993.50 x 21 = $41, 863. 50
11. Albert has 12 more 10 cent coins than 20-cent
coins. The total value of all his coins is $5.40. Find
the total number of coins he has.
Step-by-step explanation:
Let x be the number of 10 cent coins
Let y be the number of 20 cent coins
given
[tex]x = y + 12 \\ x - y = 12[/tex]
as equation 1
and
[tex]0.1x + 0.2y = 5.4[/tex]
as equation 2.
Now we will use elimination method to solve simultaneous equations.
Now we multiply equation 1 by 0.2 to eliminate y and solve for x first.
[tex]0.2 \times x - 0.2 \times y = 12 \times 0.2 \\ 0.2x - 0.2y = 2.4[/tex]
Let this new equation be equation 3.
Now use equation 2 + equation 3.
[tex]0.1x + 0.2x + (0.2y + ( - 0.2y)) = 5.4 + 2.4 \\ 0.3x = 7.8 \\ x = 7.8 \div 0.3 \\ = 26[/tex]
Substitute x into equation 1,
[tex]x = y + 12 \\ y + 12 = x \\ y = x - 12 \\ = 26 - 12 \\ = 14[/tex]
Therefore total number of coins = x + y = 26 + 14 = 40
Answer:
in total he has 62 cents
Step-by-step explanation:
I hope it's the correct answer if I'm wrong tell me right away.
At a Marine Corps military base there is a barbershop where the actual output from each chair is 12 haircuts per hour. It operates with an efficiency of 85%. If the base needs to have 650 haircuts a day how many barber chairs should there be if the barber shop is open 10 hours per day
Answer:
Barbers= 5.41= 6 barbers
Step-by-step explanation:
Giving the following formula:
Haircuts per hour= 12
Number of hours= 10
Haircuts needed= 650
First, we need to calculate the number of haircuts each barber can make per day:
Haircuts per barber a day= 12*10= 120 haircuts
Now, the number of barbers needed:
Barbers= total haircuts / haircuts per day
Barbers= 650/120
Barbers= 5.41= 6 barbers
Find the range and interquartile range (IQR) of the data set in the box plot.
11,7, 24, 7, 16, 18, 27, 8, 13, 14, 24, 30
Answer:
Range = 23
IQR= 14.5
Step-by-step explanation:
Range is the biggest number- smallest number
so 30-7=23
IQR - Interquartile range = upper quartile - lower quartile
24-9.5=14.5
need help ASAP
DONT PUT LINK! I will REPORT YOU
the answer that you're looking for is 5.5 or 5 1/2, it's the same thing.
Find the percent of change. 32 to 28
Answer:
12.5 %
Step-by-step explanation:
change = 32 − 28 = 4 pages
how to find the range in a dot plot
Answer:
By examining the line plot, we find the number with the maximum number of crosses or occurrences. This gives the mode of the data set. We find the smallest and the largest number from the data set and find their difference and this difference is the range of the given data set.
Step-by-step explanation:
9. Which of the following statements is the best description for the data in 1 point
Question 8?
.. +
1.
N-00
+
10
0
4
6
8
12
14
16
DOLLARS OF ALLOWANCE EACH WEEK
A. The data is spread out and skewed left
O B. Most of the data is far from the median and skewed right.
O C. The data is symmetrical and close to the median.
D. The data is spread out with $5 being the most common weekly allowance.
Answer:
D
Step-by-step explanation:
It cant be a because theres also dots in the right too
it cant be b because they are not far from the median and not skewed right
it cant be c because no way in HELL THAT LOOKS SYMMETRICAL
so its d cause they are literally all over the place
solve for x
3x + 7 = -2
Answer:
x = -3
Step-by-step explanation:
1. Write the equation
3x + 7 = -2
2. -7 from both sides
3x = -9
3. Divide 3 from both sides to get x alone
x = -3
Answer:
Hello There!!
Step-by-step explanation:
3x+7=-2 (-7 from both sides)
-7 -7
3x=-9 (divide by 3 from both sides)
÷3 ÷3
x=-3
hope this helps,have a great day!!
~Pinky~
Someone answer this please coreectly!!
Answer:
7 and 8
Step-by-step explanation:
[tex]7^{2} =49\\\\8^{2} =64[/tex]
Need help with this if possible
Answer:
hope it helps...
Step-by-step explanation:
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
DK
Х
AK
140°
B
>C
Angles are not drawn to scale.
Enter
Answer:
the answer would be 40
Step-by-step explanation:
supplementary angles are 180
180-140=40
x=40
You want to test whether or not the following sample of 30 observations follows a normal distribution. The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 At the 5% level of significance, the conclusion of the test is that the
Answer:
At 5% level of significance the conclusion of the test is that the number of intervals used to test the hypothesis is : 5
Step-by-step explanation:
At 5% level of significance the conclusion of the test is that the number of intervals used to test the hypothesis is : 5
since each interval contains equal number of values lets divide the data into 6 groups i.e. frequency in the third group = 30 /6 = 5
hence we can say that the number of intervals used to test the hypothesis is 5
HELLLLP ! What is the area of the triangle below?
4
18
A. 72 sq. units
B. 16 sq. units
C. 36 sq. units
D. 32 sq. units
HELP !!!
Which of the following would have the same graphic representation as the function
f) = 16.2^x? Select all that apply.
Answer:
the first on and the 4th one
Step-by-step explanation:
Which values are solutions to the inequality below? Check all that apply.
x² < 144
What are the two answers for this and how do I complete this problem?
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Answer:
-12 < x < 12
Step-by-step explanation:
It helps to think about what this looks like on a graph.
y = x² describes a parabola that has its vertex at the origin and opens upward. You know that 12² = 144, so the value of x² will exceed 144 when the value of x is more than 12. You also know the parabola is symmetric about the y-axis, so the same will be true for values of x less than -12.
The one solution to the inequality is ...
-12 < x < 12
__
You can also go at this slightly differently--a way you might want to use for more complicated quadratic inequalities. Put the inequality in standard form, and factor it.
x² -144 < 0
(x +12)(x -12) < 0
Note that these factors are zero for x = -12 and for x = 12. The solution is the set of values of x where the sign of the product is negative.
The sign of the product of two numbers will be negative when one of them is negative and the other is positive. Since the zeros of this product are -12 and +12, the sign of the product will be different in the intervals (-∞, -12), (-12, 12), and (12, ∞). In the left-most of these intervals, both factors are negative, so the product is positive and the interval is not part of the solution set.
For the middle of these intervals, (-12, 12), the sign of (x+12) is positive and the sign of (x-12) is negative. The product will have a negative sign, so this interval is part of the solution set.
For the rightmost interval (12, ∞), both factors have positive signs, so the product is positive and the interval is not in the solution set.
Based on the analysis of the signs of the factors, we realize the solution to the inequality is the interval (-12, 12), or -12 < x < 12.
_____
The wording of your question suggests you are given a list of numbers and asked to identify those that satisfy the inequality. We don't see that list, so we can only tell you the set of numbers the solutions must be in.
Note that -12 or +12 are not solutions to this.
Help ASAP!!!!!! Plzzzzzz
Answer:
2nd option
Step-by-step explanation:
Judy bought 20 apples at the store, and the total weight was 2 kilograms. If the apples all had about the same weight, how much did each apple weigh?
100 grams
200 grams
2,000 grams
500 grams
Answer:
100 grams
Step-by-step explanation:
Because I listened to someone on this question with the answer being 200 grams but it was wrong and the correct answer is 100 grams.
Adam thinks of a number.
He multiplies it by 8, adds 6 and then divides it by 2.
He ends up with 131.
What was the number he started with?
The number Adam started with is 32.He ends up with 131.
Let's denote the number Adam started with as "x." After multiplying by 8, we have 8x.
He adds 6 to the result.
The expression becomes 8x + 6.
He divides the result by 2.
The expression becomes (8x + 6) / 2.
The final result is 131.
Setting up the equation:
(8x + 6) / 2 = 131
To find x, we can solve this equation.
Multiplying both sides by 2:
8x + 6 = 262
Subtracting 6 from both sides:
8x = 256
Dividing both sides by 8:
x = 32
Therefore, the number Adam started with is 32.
To know more about number click here:
https://brainly.com/question/17480172
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The square of a number decreased by ten times the number is negative nine.
Answer:
9 OR 1
Step-by-step explanation:
Let the number be x
x² - 10x = -9
x² - 10x + 9=0
a=1
b=-10
c=9
Solve using the quadratic formula
x =9 or 1