Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
[tex]m\propto h[/tex]
[tex]m=kh[/tex] ...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
[tex]525=k(5)[/tex]
[tex]\dfrac{525}{5}=k[/tex]
[tex]105=k[/tex]
Putting k=105 in (i), we get
[tex]m=105h[/tex]
Therefore, the required equation is [tex]m=105h[/tex].
How do you accurately graph lines in algebra
Answer:
Start by plotting the y-intercept which is (0, b).
Find another point using the slope (m) with the y-intercept at the reference point.
Connect the two points with a ruler.
Step-by-step explanation:
help me i dont understand this
Answer:
there monthly budget is $4000
Step-by-step explanation:
if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100% and 40x100=4000 so 100% of there budget is $4000
hope this helps have a blessed day :)
WHAT IS THE VALUE OF X PLEASE HURRY!!!!
Answer:
I think 48, since it's an equilateral triangle.
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
cuz its a equilateral triangle
Solve the following inequality algebraically. |x - 2| > 11
Answer:
x<-9 or x>13 (- infinity, -9)U(13, infinity)
a fruit company delivers its fruit in two types of boxes large and small a delivery of five large boxes and two small boxes have a total weight of 88kg delivery of three large boxes in 8 small boxes has a total of 97 kg how much does each type of box weigh
Answer:
Large boxes:19 kg
Small boxes:5 kg
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
2x = 2y - 6 and y = x - 2
Answer:
2x=2y-6 equals x-y=-3 and y=x-2 equals x=2
Step-by-step explanation:
i hope this helps
Can someone help me with this ?
Answer:
remember powers is like multiplying that number by itself 3x3x3x3x3x3x3x3x3x3x3 ÷ 3x3x3x3
the second problem 3x3x3 × 3
(If that helps
It costs the class $203.00 to purchase 29 tickets for a performance at the Orpheum. Write an equation that can be used to find the total cost (c) for any number of tickets (t) they would buy.
Answer:
c=29÷203.
Step-by-step explanation:
i think that might be what you want. pretty sure there's a better way to wright it though.
please help me with this
Answer:
a=8/2 b=9/4 c=13/5
solve the equation 2000(x-0.03) = 6000 for x.
Answer:
x=303/100 = 3 3/100= 3.03
Step-by-step explanation:
Convert 2,000 cm to kilometers.
* fraction form *
Answer:
1/50
Step-by-step explanation:
Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?
Answer:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
4 months = 1/3 years
[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]
$120,000 in 1 year
5years, 120,000×5 = $600,000
Answer:
here u go
Step-by-step explanation:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
14
11
?
Answer:
8.66 m
Step-by-step explanation:
Given that,
The distance from the top of the building to the tip of the shadow is 14 m
The height of the building is 11 m.
We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.
The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.
So,
[tex]H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m[/tex]
So, the length of the shadow is 8.66 m.
The sales tax in your city is 8.8 and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
How does the expression |9 -(-5)| relate to the numbers
-5 and 9 on the number line?
A) The expression shows that 9 is greater than -5.
B)The expression shows that -5 is to the left of 0
and 9 is to the right of 0 on the number line.
C) The expression represents the sum of -5 and 9.
D)The expression represents the distance between
-5 and 9 on the number line.
Answer:
to me B makes the most sense
Step-by-step explanation:
hope this helps :)
GIVING BRANLIEST
Which relationships describe the angle pair x° and 71º?
Select each correct answer.
7,650÷______=7.65
answer______
Answer:
1000
3 decimals
Write an equation in slope-Intercept form from the polnts (-4,-2) and (-3,5)
y = 1/7x
y = 1/7x + 26
y = 7x + 26
x = 7y + 26
Answer:
y=7x+26
Step-by-step explanation:
First we have to find the slope of the lines.
(-4,-2)
(-3,5)
Our slope is going to equal 7
then we take a point and use it to find the equation
y--2=7(x--4)
y+2=7x+28
y=7x+26
a printer costs $28 to manufacture and is sold for $56, what is the percentage markup
Answer:
100% increase
Step-by-step explanation:
Find the length of x.
Answer:
5
Step-by-step explanation:
6/4 = 7.5/x
7.5/1.5=5
How do the values of the 4s in 64.723 and 9.048 compare? Choose the best answer below to correctly complete the statement. The value of the 4 in 64.723 is 10 100 1000 times the value of the 4 in 9.048.
Answer:
100
Step-by-step explanation:
4 in 64.723 is a unit value. So it has a value of 1
4 in 64.723 has a value of 0.01
so the value of 4 in 64.723 is 100 times the value of the 4 in 9.048.
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
pls answer i need the answer
Answer:
(-2,5)
Step-by-step explanation:
4x+4y=12
6x-4y=-32
10x=-20
x=-2
4(-2)+4y=12
-8+4y=12
4y=20
y=5
HEY CAN ANYONE HELP ME PLZ
There were 35 students in a class. If 5/7 of the students were present on Monday, then how many students were NOT present on Monday.
Which is NOT an equivalent fraction to:3/4.
Answer:
2/7 is correct answer
oky na
[tex] \Large \underline{\tt Given} :[/tex]
[tex] \\ [/tex]
Total number of students = 35Students present on Monday = [tex] \tt \dfrac{5}{7}\: of \:35[/tex][tex] \\ [/tex]
[tex] \Large \underline{\tt To \: Find} :[/tex]
[tex] \\ [/tex]
Students not present on Monday = ?[tex] \\ [/tex]
[tex] \Large \underline{\tt Solution} :[/tex]
[tex] \\ [/tex]
As, we have :
Students present on Monday = [tex] \tt \dfrac{5}{7} of 35[/tex]
[tex] \\ [/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{7} \times 35[/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = \dfrac{5}{\cancel{7}} \times \cancel{35}[/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = 5 \times 5[/tex]
[tex] \tt : \implies Students \: present \: on \: Monday = 25[/tex]
[tex] \\ [/tex]
Now, we have to find students not present on Monday :
As, we have :
Total number of students = 35 Students present on Monday = 25[tex] \\ [/tex]
Therefore,
Students absent on Monday = 35 - 25 = 10
[tex] \\ [/tex]
Hence, 10 students were not present on Monday.
The diameter of a circl
10. d = 6.7 in.
expand and simplify (X+7) (x-2)
Urgent please my teacher threatened me with an axe
Answer:
x²+5x-14
Step-by-step explanation:
expand out the brackets:
x²-2x+7x-14
simplify:
x²+5x-14
Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?
Answer:
only 0
Step-by-step explanation:
8g < 4 simplifies to g < 4/8, i.e., g < 1/2
only 0 is smaller than 1/2
NOTE: Angles not necessarily drawn to scale.
PLEASE HELP I WILL MARK BRAINLIST
Answer:
47
Step-by-step explanation:
133+133=266
360-266=94
94/2=47
I think hopefully!
There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.