The volume of a right rectangular prism is found by multiplying the length of the base by the width of the base by the height of the prism. A right rectangular prism has a volume of 30 cubic inches. If the height of the prism is 6i inches, what is the area of the base of the prism?
If the height and volume of the prism are 6 inches and 30 cubic inches. Then the base area of the prism is 5 square inches.
What is a rectangular prism?
A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
The volume of a right rectangular prism is found by multiplying the length of the base by the width of the base by the height of the prism.
A right rectangular prism has a volume of 30 cubic inches.
If the height of the prism is 6 inches. Then the base area of the prism will be
The volume is given as
Volume = Base area × Height
We know
Volume = 30
Height = 6
Then the base area will be
30 = Area × 6
Area = 5
Write a ratio that forms a proportion with 2/9
The ratio that forms a proportion with 2/9 in the question is 14/63.
What is ratio?
Ratio can be described as the term that is been used in mathematics which is been used in the indication of how many times one number contains another.
From the given figure, which is 2/9 , the ratio that form the proportion can be found as
[(2*7) / (9*7) ]= 14/63
In conclusion we can see that the ratio that forms a proportion with 2/9 in the question is 14/63 because if we follow the way the ratio is been calculated , we can see that 14/63is the correct answer, which is option D.
Learn more about ratio at:
https://brainly.com/question/2328454
#SPJ1
The missing options are:
10/40
12/63
12/45
14/63
Monica sold 3 pairs of her old Slick Sprinter sneakers at the Re-Laced secondhand store. Before she left, Monica spent $13 of her earnings on a used pair of boots. She had $8 remaining. How much did Monica receive for each pair of sneakers?
Monica received $ 7 amount of money for each pair of sneakers she sold.
We are given that:
Remaining amount with Monica = $ 8
She spent on earing = $ 13
The total amount she had = $ 13 + $ 8
The total amount she had = $ 21
Now, she sold 3 pairs of sneakers and gained $ 21
So, the price of each snicker will be calculated by using division.
So, we get that:
Monica receive for each pair of sneakers = $ 21 / 3 = $ 7
Therefore, Monica received $ 7 amount of money for each pair of sneakers she sold.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ9
Define sets U, A, B, and C as shown below. Find A'n (BUC').
U= ({a,b,c,d,e,f.g.h}
A = {f,g,h}
B={a,g,h}
C={a,b,c,d,e)
Answer:
{a}
Step-by-step explanation:
You want the set A'∩(B∪C') given the definitions of each of the sets U, A, B, C.
Inverse setsThe inverse of a set is the set of elements of the universal set that are NOT in the given set.
A' = {a, b, c, d, e, f, g, h} - {f, g, h} = {a, b, c, d, e}
C' = {a, b, c, d, e, f, g, h} - {a, b, c, d, e} = {f, g, h}
UnionThe union of two sets is the list of elements in either of the two sets.
B∪C' = {a, g, h} +{f, g, h} = {a, f, g, h}
IntersectionThe intersection of two sets is the list of elements common to both:
A'∩(B∪C') = {a, b, c, d, e} ∩ {a, f, g, h} = {a}
need help math worklkkk
Help me solve this I’ll give u vbucks
Answer:
49
Step-by-step explanation:
You first simplify (1/7)^2 which is 7^2 then you get 49.
Answer:
49
Step-by-step explanation:
did it
The median number of pools installed by 9 construction teams in a certain summer is 11. The
range of the number of pools installed by those teams that summer is 14.
Determine if the following statement is true, is false, or does not contain enough information.
At least one team installed 11 pools
Answer: False. If this were true, then the range would have been 18 - 6 = 12.
Step-by-step explanation:
PLS HELP WILL GIVE 30 POINTS
Write a quadratic function in standard form whose graph has the given characteristics.
passes through (- 8,0), (- 6, -16), and (2,0).
Answer: [tex]y=x^2 +6x-16[/tex]
Step-by-step explanation:
From the roots, the equation in factored form is [tex]y=a(x-2)(x+8)[/tex]. Substituting in the coordinates (-6, -16),
[tex]-16=a(-6-2)(-6+8)\\\\-16=-16a\\\\a=1[/tex]
So, the equation is [tex]y=(x-2)(x+8)[/tex], which expands to [tex]x^2 +6x-16[/tex].
The shelf life of a battery produced by one major company is known to be normally distributed with a mean life of 3.5 years and a standard deviation of 0.75 years. What percent of batteries last between 1.25 and 5.75 years?
The percentage of batteries that last between 1.25 and 5.75 years will be 99.73%.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
One significant manufacturer's batteries are known to have a shelf life that is regularly distributed, with an average life of 3.5 years and a standard deviation of 0.75 years.
The value of the z-score will be
z = (1.25 - 3.5) / 0.75, (5.75 - 3.5) / 0.75
z = -3, 3
The percentage of batteries that last between 1.25 and 5.75 years will be
P(1.25 < x < 5.75) = P(- 3 < z < 3) x 100
P(1.25 < x < 5.75) = 0.9973 x 100
P(1.25 < x < 5.75) = 99.73%
The percentage of batteries that last between 1.25 and 5.75 years will be 99.73%.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ1
Need helpppp!!!!!!!!!!
Answer:
When x approaches -∞, y approaches ∞ and when x approaches ∞, y approaches ∞.
Step-by-step explanation:
Which of the following mass values is equal to 40,000 grams?
A. 40 kilograms
OB. 40 milligrams
OC. 4 kilograms
OD. 4,000 megagrams
Answer:
A
Step-by-step explanation:
1 kilogram is equal to 1000 grams, so 40000 grams is 40 kilos.
a +x = b
solve for x?
Which of these has the same value as 45/8? Which of these has the same value as 45/8?
6 5/8
8 5/8
5 5/8
7 5/8
Answer: 5 5/8
Step-by-step explanation:
6 5/8= 6*8= 48 48+5=53 53/8
8 5/8= 8*8=64 64+5=69 69/8
5 5/8= 5*8=40 40+5=45 45/8
7 5/8= 7*8=56 56+5=61 61/8
Given h(x) = 5x-1, find h(-4)
Step-by-step explanation:
h(-4) = 5(-4) - 1
= -20 - 1
= -21.
Answer:
-21 is correct
Step-by-step explanation:
A'BC' is a dilation of ABC.
If the center of dilation was (0,0), what was the scale factor used to create the dilation?
I’m literally sobbing- I have no clue what this question means
Answer:4
Step-by-step explanation:
dilation
In a plane, a transformation in which each point on the image lies on the same line as the corresponding point on the preimage and a fixed point called the center of dilation; the ratio between the distance from the center of dilation to a point on the image and the distance from the center of dilation to the corresponding point on the preimage remains constant.
Dana has driven her car 95,598 miles. She estimates she can
drive the car another 5000 miles before the mileage reaches
100,000 miles. Use the rules for estimating differences to
explain if Dana is correct.
Answer: Dana estimation is incorrect because difference = 598 miles
Step-by-step explanation:
Given data,
Dana has driven her car 95,598 miles.
She estimates she can
drive the car another 5000 miles.
she can,
drive the car another 5000 miles before the mileage reaches
100,000 miles.
Estimated Mileage of the car is equal to 100,000 miles.
That is,
Estimated Mileage of the car is = 100,000 miles.
So,
We can write,
Total distance Dana has to travel = already driven + additional miles to cover
Total distance Dana has to travel = 95,598 + 5,000 miles
Total distance Dana has to travel = 1,00,598 miles.
As per mileage of car is 100,000 miles.
So, Dana has to travel = 1,00,598 miles.
So, Dana estimation is incorrect because difference is = 100,598 - 100,000
Therefore,
Dana estimation is incorrect because difference = 598 miles
Learn more about event correlation here: brainly.com/question/17152677
#SPJ9
Plot the ordered pair -5,3
1/2
A graph of the given ordered pair (-5 3 1/2) has been plotted as shown in the image attached below.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an ordered pair?An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.
In conclusion, the point (-5) would be plotted on the x-axis (abscissa) while point (3 1/2) would be plotted on the y-axis (ordinate) of a coordinate plane as shown in the image attached below.
Read more on ordered pairs here: https://brainly.com/question/13432927
#SPJ1
Two whole numbers have their first common multiple as 6,what is their 4th and 8th common multiple
Answer:
24, 48
Step-by-step explanation:
The 4th common multiple is 6(4)=24.
The 8th common multiple is 6(8)=48.
Your cousin renews his apartment lease and pays a new monthly rent his new rent is a calculated by applying a discount of $50 to his original rent and then applying at 10% increase to the discounted amount what was your cousins original monthly rent when his new rent is 5% greater
Answer:
10000000$
Step-by-step explanation:
gu kha le bhosadike duck you
Which of the graphs below shows correctly plotted points for the following line?
y=3−2x
Select the correct answer below:
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four labeled points are plotted at left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 5 right-parenthesis, and left-parenthesis 2 comma 7 right-parenthesis.
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are plotted at left-parenthesis negative 1 comma 5 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma negative 1 right-parenthesis.
4 points are plotted
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are labeled at left-parenthesis negative 1 comma negative 5 right-parenthesis, left-parenthesis 0 comma negative 2 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 4 right-parenthesis.
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are plotted at left-parenthesis negative 1 comma 2 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 4 right-parenthesis, and left-parenthesis 2 comma 5 right-parenthesis.
Four plotted points on a coordinate plane.
The graph that correctly plots the line y=3−2x is option B which is:
Four plotted points on a coordinate plane.
A coordinate plane has a horizontal x-axis and a vertical y-axis. Four points are plotted at left-parenthesis negative 1 comma 5 right-parenthesis, left-parenthesis 0 comma 3 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma negative 1 right-parenthesis.
How to find the plotted pointswe use the given equation to get the points by substituting the values of x given, to get the values of y as follows
y = 3 - 2x
for x = -1
y = 3 - 2 ( -1 )
y = 3 - ( -2 )
y = 3 + 2
y = 5
( -1, 5 )
y = 3 - 2x
for x = 0
y = 3 - 2 (0 )
y = 3 - 0
y = 3
( 0, 3 )
y = 3 - 2x
for x = 1
y = 3 - 2 ( 1 )
y = 3 - ( 2 )
y = 3 - 2
y = 1
( 1, 1 )
y = 3 - 2x
for x = 2
y = 3 - 2 ( 2 )
y = 3 - ( 4 )
y = 3 - 4
y = -1
( 2, -1 )
( -1, 5 ), ( 0, 3 ), ( 1, 1 ), and ( 2, -1 ) These represents the points in the second option hence the correct answer.
Read more on graphs here: https://brainly.com/question/19040584
#SPJ1
Cm^2-g/cm^4
Does cm become cm^2. How to I subtract it?
Answer:
[tex]\frac{cm^{6} - g}{cm^{4} }[/tex]
Step-by-step explanation:
Write 1/cm^2 - g/cm^4 to visualize it better, then distribute using the fraction rule ([tex]\:a-\frac{b}{c}=\frac{ac-b}{c}[/tex]): [tex]\frac{cm^2cm^4-g}{cm^4}[/tex]
Combine like terms to get: [tex]\frac{cm^6-g}{cm^4}[/tex]
Please like and give brainliest if this helped! :)
Harriet wants to buy items worth $248.50. She is using a store coupon for 25 percent off her purchases. She has to pay 5 percent sales tax. Calculate the total cost of the items
Answer:$195.70
Step-by-step explanation:
Starting price is : $248.50
Price with 25% off :
$248.50 x ( 1 - 0.25 ) = $248.50 x 0.75 = $186.375
After that she has to pay 5 % sales tax:
$186.375 x 1.05 = $195.70
Answer:
The total cost of the items is $195.70.
Evan has an even number of shells he has more than 10 shells and less than 15
Answer:
It can ither be 12 or 14
Step-by-step explanation:
The numbers have to be even and must be greater than 10 but less than 15 and the only numbers that are greater than 10 but less than 15 are 12 and 14.
Hope this helps.
Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,500 into her account and also saves $200 cash a year.
x = number of years
Aleka: f(x) = 2500(1.025)x
Helene: g(x) = 1500(1.025)x + 200x
Which function represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years?
h(x) = –1000(1.025)x + 200x
h(x) = 1000(1.025)x + 200x
h(x) = 1000(1.025)x – 200x
h(x) = 4000(1.025)x + 200x
The function that represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years is C. h(x) = 1000(1.025)x – 200x.
How to illustrate the function?It should be noted that Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account.
The function for Aleka will be:
= 2500 (1.025)^x
The function for Helene will be:
= 1500(1./25)^x + 200x
Therefore, the difference of the function will be 1000(1.025)x – 200x.
In conclusion, the correct option is C.
Learn more about functions on:
brainly.com/question/11865129
#SPJ1
IM GIVING BRAINLIEST! PLEASE I NEED HELP! Ava had $28.50 to spend at the farmer's market. After buying 3 pumpkins Ava, has $12 left. Which equation could you use to find the price of one pumpkin (x)?
28.50/3=x
3x-12=28.50
x+12=28.50
3x+12=28.50
Question 15 The length is : A rectangular room is 1.9 times as long as it is wide, and its perimeter is 29 meters. Find the dimension of the room. > meters. Submit Question 0/1 pt100 Deta Question Help: Message instructor meters and the width is
The length of rectangular room is 9.5 meter.
The width of rectangular room is 5 meter.
What is Perimeter of rectangular?
The perimeter of a rectangle is two time the sum of length and width of rectangle.
Given that;
The perimeter of rectangular room = 29 meter
The length of rectangular room is 1.9 times as long as it is wide.
Now, Let the width of rectangular room = x
Then Length of rectangular room = 1.9x
Since, Perimeter of rectangular room = 2 ( length + width)
⇒ 29 = 2 (1.9x + x)
⇒ 29 = 2 * 2.9x
⇒ x = 5
Hence, The length of rectangular room = 1.9x
= 1.9 * 5
= 9.5 meter
The width of rectangular room is = x
= 5 meter.
So, The length of rectangular room is 9.5 meter.
The width of rectangular room is 5 meter.
Learn more about the perimeter of rectangle visit:
https://brainly.com/question/13740588
#SPJ1
In a warehouse, there are 2 robots that work together. They move in the same direction concurrently, so if one moves North, they both North. The robots will follow any instructions they’re given and will collect any objects they find along the way. They only take instructions by the points of the compass and can only move in 4 directions (N, E, S, W).
For example, if the 2 robots are given the directions: “N, E, S”, then Robot A will collect a ball and Robot B will collect a hat.
Write the directions the robots would need to follow to collect the following objects, remembering that both robots get the same directions, and assuming that for each question they start off in the same (pictured above) positions:
1. Robot A: ball Robot B: ball
2. Robot A: hat, ball Robot B: box, hat
3. Robot A: ball, ball Robot B: hat, ball
1. For collecting balls by both Robot A and B the direction will be N->E->E
2. For collecting hat and ball by Robot A and box and hat by Robot B, the direction will be N->N->S->E->E
3. For collecting both the balls by Robot A and a hat and ball by Robot B, the direction will be E->E->N
The direction that both Robot A and Robot B can take are N, E, S and W
For Part 1:
Robot A and Robot B need to collect the ball which is in the 2nd row 5th column for Robot A and 4th row 3rd column for Robot B, therefore the direction will be:
=N->E->E
For Part 2:
Robot A needs to collect a hat and ball which are in the 1st-row third column and 2nd row 5th column respectively. Robot B needs to collect a box and a hat which are in the 3rd row 1st column and 4th row 3rd column respectively. Therefore, the direction will be:
= N->N->S->E->E
For Part 3:
Robot A needs to collect both the balls which are in the 3rd-row 4th column and 2nd row 5th column respectively. Robot B needs to collect a hat and a ball which are in the 5th row and 2nd column & 4th row 3rd column respectively. Therefore, the directions will be:
= E->E->N
Learn more about directions:
https://brainly.com/question/1122190
#SPJ1
An equation of a line through (-2, 8) which is parallel to the line y = 4 x + 4 has slope:
The slope of the line that is parallel to the given equation is 4
Slope of a lineFrom the question, we are to determine the slope of the equation that is parallel to the given line
The given line is
y = 4x + 4
First, we will determine the slope of the given line
By comparing with the slope-intercept form of the equation of a straight line,
y = mx + b
Where m is the slope
and b is the y-intercept
By comparison,
m = 4
Thus,
The slope of the line is 4
NOTE: If two lines are parallel, their slopes are equal
Hence, the slope is 4
Learn more on Slope of a line here: https://brainly.com/question/13763238
#SPJ1
1. There are 15 apples in a basket. 7 of these are green. The rest of them are red.
a. What is the ratio of green apples to red apples?
Answer:
there are 7 green apples to 8 red apples, or it can be said as 7/8.
Step-by-step explanation:
15 - 7 = 8. This leaves 8 apples left, making these ones red.
Find the midpoint of a line segment with endpoints at left parenthesis 1 comma space 7 right parenthesis and left parenthesis 9 comma space minus 3 right parenthesis.
The midpoint of the line segment with endpoints at (1, 7) and (9, -3) is (5, 2)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The midpoint O(x, y) of the line segment with endpoint at A(x₁, y₁) and B(x₂, y₂) is:
x = (x₁ + x₂) / 2; y = (y₁ + y₂)/2
Given the line segment with endpoints at (1, 7) and (9, -3). Let O(x, y) be the midpoint, hence:
x = (1 + 9) / 2 = 5
y = (7 + (-3)) / 2 = 2
The midpoint of the line segment with endpoints at (1, 7) and (9, -3) is (5, 2)
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1