The equation represents this situation will be dp = k. Thus, option B is correct.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
The inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.
If k is the constant of variation.
The equation represents this situation will be
dp = k
Thus, option B is correct.
Learn more about proportional relationship variable here:
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The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side
Step-by-step explanation:
Given parameters:
Perimeter of triangle = 69cm;
Unknown:
Length of each side = ?
Solution:
Side a is 5cm shorter than side b;
b = a + 5 ----- i
Side c is 5 more than twice side b;
c = 2b + 5
The three sides of triangle are a, b and c;
Perimeter is the sum of sides of a body;
a + b + c = 69
From i;
a = b - 5
b
c = 2b + 5
so;
b - 5 + b + 2b + 5 = 69
4b = 69
b = 17.25cm
a = b -5 = 17.25 - 5 = 12.25cm
c = 2(17.25) + 5 = 39.5cm
How many times greater is the value of the 7 in 70,048 than the value of 7 in 17,992
Find the volume of the cylinder please
Answer:
105.m3
Step-by-step explanation:
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I- I'm speechless
Do you even have a question-
what is the function of this graph?
Answer:
-2 X3
Step-by-step explanation:
2/5x+1/4x=26 what is x
Answer:
x = 40
Step-by-step explanation:
2/5x + 1/4x = 26
~Find common denominators
8/20x + 5/20x = 26
~Combine like terms
13/20x = 26
~Multiply 20/13 to both sides
x = 40
Best of Luck!
x + 8x + 15 help me out with this plz
Answer:
3(3x + 5)
Step-by-step explanation:
x + 8x + 15 Combine liked terms
9x + 15
GCF: 3
3(3x +5) Factor
if I'm born in January 4th 2009 how old am I in 2020
Answer:
11
Step-by-step explanation:
i was born one year before you
which of the following are true of linear functions?
Answer:
1. 3. 6.
Step-by-step explanation:
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
PLEASE HELP!!!!! A jar contains 5 blue, 2 red and 3 green marbles Develop a probability model for randomly drawing a marble out of the jar.
Answer:
There is a 50% chance of a blue marble
20% chance of a red marble
30% chance of a blue marble
What is the distance between -34 and 16
Answer:
1) 50
2) -18
Step-by-step explanation:
2) what I did was subtract -34 from -16
The distance between -34 and 16 as requested is; 50
The distance between two points, x and y on the number line is the absolute value of their difference.
Distance = | x -y |
In this scenario; the distance between -34 and 16 is therefore;
Distance = | -34 - 16|
Distance = | -50 |
In essence, Distance = 50.
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In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC
Answer:
hb=4√3
Step-by-step explanation:
Answer:
AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
To find AB:
∆ABC is an 30,60,90∆
Using the theorem, you can find AB = 2AC = 2*4 = 8
AB = 8
To find HB:
You need to find AH to subtract from AB
Construct CH, a perpendicular bisector to side AB
From before you can put together that m∠CAB = 60°
∆ACH is an 30,60,90∆
Using this method again, AH = AC/2 = 4/2 = 2
Then you subtract AH from AB = 8-2 = 6
HB = 6
To find the area of ∆ABC:
You use the (base*height)/2 method
base = AB = 8
to find the height, CH, you need to use the Pytha Theorem
and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]
then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]
calculate and get CH = 2[tex]\sqrt{3}[/tex]
then the height = CH = 2[tex]\sqrt{3}[/tex]
solve the area and get
Area of ∆ABC = 8[tex]\sqrt{3}[/tex]
(optional perimeter)
to find perimeter of ∆ABC:
you add AC + CB + AB
you find CB by using opposite to 30°
CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]
so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8
Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]
Hope this helps!!
Consider a right-tailed test (upper tail) and a sample size of 40 at the 95% confidence level. The value of t is ________.
a. +2.023
b. -2.023
c. -1.685
d. +1.685
Answer:
The correct option is d.
Step-by-step explanation:
The directional hypothesis is:
[tex]H_{a}:\mu>\mu_{0}[/tex]
The sample size is, n = 40.
The significance level is:
[tex]\alpha =1-0.95=0.05[/tex]
Use the t-table to compute the right-tailed t-critical value as follows:
[tex]t_{\alpha,\ (n-1)}=t_{0.05, (40-1)}[/tex]
[tex]=t_{0.05, 39}\\\\\approx t_{0.05, 40}\\\\=1.684\\\\\approx 1.685[/tex]
The value is positive since the directional hypothesis suggests that the test is right tailed.
The correct option is d.
The slope of the line that passes through the points (0, 3) and (5, 13) Is
Answer:
The slope would be 2
Step-by-step explanation:
pls help thx , I’m behind ;(
help meeeeee plsssss
Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?
Answer:
5 twenty's 1 five
Step-by-step explanation:
20 x 5 = 100
100 = 5 = 105
999 to the nearest thousand
Answer: 1000
Step-by-step explanation:
Answer:
1000
Is the answer I think
x-1/4(12-x)=x+3(4-x)-2x
A.) -20/7
B.) 20/7
C.) 7/20
D.) -7/20
Answer:
The answer is B
Step-by-step explanation:
hope this helps
what number makes equation true enter the answer in the box
_ / 6 = 7
Answer:
42
Step-by-step explanation:
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Cuanto es 1/4 en pedazos?
Answer:
1/4 en pedazos seria 1/4 en pedazos
Step-by-step explanation:
la pregunta no tiene sentido
Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".
Step-by-step explanation:
can you tell me to 3148 nearest thousand
Answer:
3k or 3000
Step-by-step explanation:
Ask yourself this: "Is 3148 closer to 3000, or is it closer to 4000?"
The answer is 3000 since 3148-3000 = 148 while 4000-3148 = 852
Put another way, we round 3148 to 3000 since the next digit after the thousands place is not a 5 or larger. So we just drop the 148 and replace those digits with 0s.
I’m stuck on all of these
:( any help would be very appreciated
Answer:
1. 8x^3+6x^2+7
Step-by-step explanation:
Amy's penny bank is 1/4 full. After she adds 240 pennies, it is 5/8 full. How many pennies can Amy's bank hold?
3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
P=x/n
Solve the equation for x
Answer:
x = PnStep-by-step explanation:
[tex]P = \frac{x}{n}[/tex]
Cross Multiply
[tex]P\times n = x\\\\Pn = x\\\\x =Pn[/tex]
a PetSmart your dad is trying to decide which type of dog food to purchase. if he is solely trying to find the product with the cheapest cost per ounce, which item should be purchase? (these prices are accurate!)
I WILL MARK BRAINLIST
Answer:
I think it's B.
Step-by-step explanation:
Hope that helped! Have a great rest of your day!
7 milloin 481 thousand 624in standard form
Answer:
7,481,624
Step-by-step explanation:
Answer:
7.48 x10^6
Step-by-step explanation:
The Snells can spend 4 nights at a resort for $500 or 6 nights at the same resort for $750. Find the slope.
Answer:
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that is hard but the answer is 1,256 I think that is right
