Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w)
In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:
P = 2(l + w) = 2(12 + 10) = 44.
44 feet will be needed to go all the way around the room.
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If the salinity of ocean water at the entrance to an estuary is 35 and 63 percent of the volume of water in the estuary is ocean water, what is the average salinity of the estuary
The correct answer for the average salinity of the estuary would be 22.235.
Given in the question,
Salinity of ocean water at the entrance to the estuary: 35.
Volume of ocean water in the estuary: 63% (or 0.63).
Volume of freshwater in the estuary: 37% (or 0.37).
Consider, salinity of freshwater as 0.5.
To calculate the average salinity of the estuary, the formula know is:
Average Salinity = (Salinity of Ocean Water * Volume of Ocean Water + Salinity of Freshwater * Volume of Freshwater) / Total Volume of Estuary
[tex]= \dfrac{35*0.63 + 0.5 * 0.37}{1}\\\\= 22.05 + 0.185\\\\= 22.235[/tex]
Therefore, Average salinity of the estuary would be approximately 22.235.
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The cost of manufacturing a single DVD is represented by: C(x) = 0.35x+ 1.75. What is the cost of manufacturing 12 DVDs?
Answer:
£5.95
Step-by-step explanation:
To find the cost of 12 DVDs, let x = 12
C(12) = 0.35 x 12 + 1.75
C(12) = 4.2 + 1.75
C(12) = 5.95
The cost of manufacturing 12 DVDs is $5.95.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, the cost of manufacturing a single DVD is represented by C(x) = 0.35x+ 1.75.
When, x=12
C(12)=0.35×12+1.75
C(12)=5.95
Therefore, the cost of manufacturing 12 DVDs is $5.95.
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A researcher collected data from car shoppers about their favorite car color. He asked 250 people about their favorite vehicle color. How many more people said their favorite color is white compared to those who said black. Your answer should be written as a number not a percentage. And then the percents for the circle graph are 20% red 24% white 32% blue 18% black 4% silver and 2% other
Answer:
35 more preferred white
Step-by-step explanation:
Black 18% * 250 = 18/100 * 250 = 45
White 32%*250 = 32/100 * 250 = 80
The difference is 80 - 45 = 35
I love my chocolate company makes dark chocolate and light chocolate
Answer:
this is great to hear I personally like light
for each ordered pair determine whether it is a solution to 2x+7y=-5
(-6, 1)
(9, 2)
(8, -3)
(-5, -4)
Hey there!
In order to determine whether an ordered pair is a solution, all we have to do is plug in the values of x and y and see if we end up with a true statement.
The first pair is (-6, 1)
plug in 1 for y and -6 for x:
2(-6)+7(1)=-5
-12+7=-5
-5=-5
Yep! Here we have a true statement.
Therefore, this ordered pair is a solution.
2(9)+7(2)=-5
18+14=-5
Well, we can see that we have a false statement, because
32≠-5
and ≠ means "not equal to"
Let's try the third ordered pair.
2(8)+7(-3)=-5
16-21=-5
-5=-5
Great! We have another true statement :)
Let's try the last option.
2(-5)+7(-4)=-5
-10-28=-5
-38=-5
As we can see, we ended up with a false statement.
-38≠-5
Hence,
[tex]\boxed{\boxed{\bold{options~A~and~C~are~correct.}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
52. What are the given facts?plssss?help this is
The least common denominator for 3/9 and 3/6
Answer:
The least common denominator is 18:)
What is the solution to the system of equations?
(4, 7)
(7, 4)
(12, 5)
(5, 12)
What is the solution to the system of equations?
3x+2y = 39
5x-y = 13
Answer ↷(5,12)
Solution ↷Given that,
3x + 2y = 39......(1)
5x - y = 13.......(2)
multiplying equation 1 by 5 & 2nd by 3 ,we get,
15x + 10y = 195.......(3)
15x - 3y = 39........(4)
Subtracting equation 4th by equation 3rd,
we get,
15x + 10y = 195
-15x - 3y = 39
_____________
ㅤ ㅤ13y = 156
ㅤㅤㅤ y = 12
_____________
so , y = 12 & x = 5
⤿5x-12 = 13⤿5x = 25⤿x = 5_____________
hence, option 4th ⇢ (5,12) is correct ✓
Graph Attached
Solution is (5,12)Option D
The radii of two similar cones are 1 and 2.5. What is the ratio of their volumes?
Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
Nonsense will be reported!!
Answer:
Step-by-step explanation:
[tex]\bf \left( \dfrac{-11}{2} * +3 \right) -2*\left(\dfrac{11}{4}x-\dfrac{5}{2} \right) =\left( \dfrac{-33}{2} \right) - 2*\dfrac{11}{4}x - (-2) * \dfrac{5}{2}\\\\\\[/tex]
[tex]\bf = \dfrac{-33}{2}-\dfrac{11}{2}x + \dfrac{10}{2}\\\\\\ = \dfrac{-33-11x+10}{2}\\\\\\ = \dfrac{-23-11x}{2}[/tex]
$55 for 20 people............
Answer:
total amount of money: $1100
Step-by-step explanation:
multiply the number of people by the money for each of them
so $55 x 20 = $1100
Answer:
55 divied by 20..witch mean 50 divied between 20 ppl witch is
11/4 and as a decimal 2.75 hope this helped
This table shows the ratio of daisies to roses.
Complete the statement about the equivalent ratios in
this table.
Daisies
Roses
To find the values in each row,
the values
in the previous row by
256
192
64
48
16
12
Answer:
Its divide and 4
Step-by-step explanation:
To find the values in each row divide the values in previous row by 4.
What is the Ratio?
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Clearly, from observation,
Each column represent geometric progression with common ratio r = 1/4. So when moving downward, the element in the rows decreases as multiple of 1/4.
Here,
R(1, 1) = 256
R (2 ,1) = 64
R(2,1)/R(1,1)=1/4
Thus, To find the values in each row divide the values in previous row by 4.
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electrician cuts a 21 ft piece of wire into two pieces. One piece is 4 ft longer than the other. How long are the pieces?
21=a+(a+4)
one piece is 8.5 ft
the other is 12.5 ft
Choose the expression that is equal to 28.3
There are no other expressions intered. Please write them too.
Answer:
It CAN be 28.30
What is the property name of 3 (6 + 2 ) = ( 3 x 6 ) + ( 3 x 2) ?
Answer:
The distributive property
Step-by-step explanation:
It says
[tex]a(b+c)=a(b)+a(c)[/tex]
I hope you understand the generalization of the property.
A clock shows time as 1:10pm is 20 minutes fast what is the correct time
Answer:
12:50
Step-by-step explanation:
in time after 60 minutes it goes to the next hour
so since is 20 minutes faster we are going to take it back 20 minutes backward
--› 1:10{when going backwards after 1:00 is 12:59}
--› 1:10 - 20
--› 12:50
The correct time on the clock is given by the equation A = 12 : 50 PM
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the correct time on the clock be represented as A
Now , the equation will be
The present time on the clock P = 1 : 10 PM
And , the time on the clock is 20 minutes faster than the actual time
So , substituting the values in the equation , we get
The correct time on the clock is given by A = present time on the clock P - 20 minutes
On simplifying the equation , we get
The correct time on the clock is given by A = 12 : 50 PM
Therefore , the value of A is 12 : 50 PM
Hence , the equation is solved
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PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
C E A F B D
Step-by-step explanation:
A function is translated to the right by h units when x is replaced by (x-h) in the function. So, the larger h is, the farther right the vertex of the quadratic is.
The vertices will be arranged left to right by the ordering ...
[tex]\boxed{y=f(x+3)}\rightarrow\boxed{y=f(x+2)}\rightarrow\boxed{y=f(x)}\rightarrow\boxed{y=f\left(x-\dfrac{1}{2}\right)}\\\\\rightarrow\boxed{y=f(x-4)}\rightarrow\boxed{y=f(x-7)}[/tex]
What is the y-intercept for the equation y=-4(x – 3)2 +1?
Answer:
(0,25)
Step-by-step explanation:
Answer:
I believe the y intercept is (0,25)
Angelo’s score in a video game was changed by -75 points because he missed some targets. He got -15 points for each missed target. How many targets did he miss?
Answer:
the answer is 5 targets
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each circle equation to its corresponding center and radius.
center = (3,-5)
radius = 2 units
center = (-3,-5)
radius = 4 units
center = (3,5)
radius = 2 units
center = (-3,5)
radius = 2 units
center = (3,-5)
radius = 4 units
center = (3,5)
radius = 4 units
(x + 3)2 + (1 + 5)2
= 16
(x + 3)2 + (1 – 5)2 = 4
+
=
(x – 3)2 + (x – 5)2
= 4
|(1 – 3)2 + (1 + 5)2 = 16
-
=
By using the general equation for a circle, we will see that the correct options are:
1) This is a circle centered at (-3, - 5) with a radius of 4 units.2) The center is (-3, 5) and the radius is 2 units.3) The center is (3, 5) and the radius is 2 units.4) This is a circle centered at (3, - 5) with a radius of 4 units.How to write a circle equation?
For a circle of radius R and center (a, b), the equation is given by:
(x - a)^2 + (y - b)^2 = R^2
With that in mind, if we look at the first equation:
(x + 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (-3, - 5) with a radius of 4 units.
For the second equation:
(x + 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (-3, 5) and the radius is 2 units.
The third equation is:
(x - 3)^2 + (y - 5)^2 = 4 = 2^2
The center is (3, 5) and the radius is 2 units.
The fourth equation is:
(x - 3)^2 + (y + 5)^2 = 16 = 4^2
This is a circle centered at (3, - 5) with a radius of 4 units.
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HELPPP PLEASE!!!!
Write an equation for the nth term of the
arithmetic sequence below.
-12, -3, 6, ...
A. f(n) = -9n - 21
B. f(n) = 9n - 21
C. f(n) = 9n + 21
D. f(n) = -9n + 21
Activate
Answer: B.f(n)9n-12
Step-by-step explanation:
In the expression 12r what values of r makes the expression equal a number less than 12
answer:
any value below 1
r<1
examples:
12×0=1
12×0.99= 0.0825
12×-12=-144 (which is less than 12)
etc.
7500 in account paying 1.5 compound interest, how much after 8 years
Answer:
The amount of money after 8 years is $8448.69
Step-by-step explanation:
The rule of the compound interest is
[tex]A=p(1+r)^{t}[/tex] , where
A is the new valueP is the original valuer is the rate in decimalt is the time in years∵ There is $7500 in an account
∴ P = 7500
∵ The account paying 1.5% compound interest
∴ r = 1.5% = 1.5/100 = 0.015
∵ The money will invest for 8 years
∴ t = 8
→ Substitute all of these values in the rule above to find A
∵ [tex]A=7500(1+0.015)^{8}[/tex]
→ Use your calculator to find the answer
∴ A = 8448.69
∴ The amount of money after 8 years is $8448.69
Refer to the following information on full-term births in the United States over a given period of time.Type of Birth Number of BirthsSingle birth 47,200,000Twins 600,000Triplets 3000Quadruplets 200Use this information to estimate the probabilities of the following events.(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures.)
Answer:
Refer to the following information on full-term births in the United States over a given period of time.
Type of Birth Number of Births
Single birth 47,200,000
Twins 600,000
Triplets 3000
Quadruplets 200
Use this information to estimate the probabilities of the following events.
(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)
(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)
(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures
Identify whether each variable is categorical or continuous.
Hand length (cm) ?
Kneeling height (cm) ?
Hours studied for exam ?
Exam score?
Perfect attendance (100=perfect; 0 = not perfect)?
Answer:
u33u3373737
Step-by-step explanation:
hheeheheheheheheheheheehehehehebeheheheheheheheheehehe
Mill river middle school has 320 families with students at the school. For the open house, 240 families were present. What percentage of families came to open house?
Answer:
75%
Step-by-step explanation:
in order to find the percentage of something like this, all you need to do is divide the part by the whole, thus 240/320 to make 75%
Ms. James bought 3 world maps for her classroom. The total cost of the 3 maps was $73.77. The clerk told Ms. James that each map cost $2.45. Do you agree with the clerks calculations? Explain your reasoning.
please help ASAP please will give branlyist if i can figure it out
Answer:
The clerk is wrong because the total cost per map is $24.59
Step-by-step explanation:
since you know that you spent $73.77 for 3 maps you can set up the equation 73.77 = 3X (where x = cost per map)
once you divide 73.77 by 3 you get 24.59 and that equals the price per map
if it was like the clerk said and each map was 2.45 then the total cost shoud have been 7.35.
the midpoint of (1,4) and (-7,10)
Answer:
i’m pretty sure the answer is y=3/4x-13/4
Step-by-step explanation:
What’s the value of x?
Answer:
x=15°
Step-by-step explanation:
165°+x=180°(sum of the adjacent angles on a straight line is 180)
x=180-165
x=15°
2x+3≤x−5 solve for x
Answer:
x≤−8
Step-by-step explanation:
2x+3≤x−5
Step 1: Subtract x from both sides.
2x+3−x≤x−5−x
x+3≤−5
Step 2: Subtract 3 from both sides.
x+3−3≤−5−3
Answer is
x≤−8