Answer:
r = 8
Step-by-step explanation:
Given that M is directly proportional to r² then the equation relating them is
M = kr² ← k is the constant of proportionality
To find k use the condition when r = 2 , M = 14
k = [tex]\frac{m}{r^{2} }[/tex] =[tex]\frac{14}{4}[/tex] = [tex]\frac{7}{2}[/tex]
M = r² ← equation of proportion
When M = 224, then
224 =[tex]\frac{7}{2}[/tex]r² ← multiply both sides by 2
7r² = 448 ( divide both sides by 7 )
r² = 64 ( take the square root of both sides )
r = [tex]\sqrt{64}[/tex] = 8
have wonderful day
the slope of a line perpendicular to y=4x-7 is
Answer: m perpendicular = - 1/4
If 2484 union members represent 90% of a factories work force how many workers are employed
Answer:
Step-by-step explanation:
Hello good dY
Write the following equation symbolically.
The product of 7 and w is 8 times the sum of 2 and x.
Answer:
7w=8(2+x)
Step-by-step explanation:
Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get
Answer:
[tex]Ivy = 24[/tex]
Step-by-step explanation:
Given
[tex]Dennis : Ivy = 7 : 4[/tex]
Required
Determine the amount of sweet Ivy gets when Dennis = 42
We have:
[tex]Dennis : Ivy = 7 : 4[/tex] and
[tex]Dennis = 42[/tex]
Substitute 42 for Dennis in [tex]Dennis : Ivy = 7 : 4[/tex]
[tex]42 : Ivy = 7 : 4[/tex]
Convert to fraction
[tex]\frac{42}{Ivy} = \frac{7}{4}[/tex]
Cross Multiply:
[tex]Ivy * 7 = 42 * 4[/tex]
Divide through by 7
[tex]\frac{Ivy * 7}{7} = \frac{42 * 4}{7}[/tex]
[tex]Ivy = \frac{42 * 4}{7}[/tex]
[tex]Ivy = 6* 4[/tex]
[tex]Ivy = 24[/tex]
Pleaseeeeeeee helppp
A
B
с
DE
Identify the location of the values used to create a box
plot.HELPPP HURRYYYYY
A=
+
3
+
4
+
5
1
6
+ +
7 8
0 1
2.
9
B =
C =
median
D =
E =
Answer:
A=Minimum value
B=Lower quartile
C=Median
D=Upper quartile
E=Maximum value
Step-by-step explanation:
Answer:
answer above.
Step-by-step explanation:
your welcome
3/4
What fraction is equivalent to the fraction above.
Answer: 6/8, 12/16, 15/20, 18/24, are all equal
Step-by-step explanation:
EL
2. Robyn and Rachel bought a set of CDs for £20. Robyn paid £11
and Rachel £9. What percentage of the total cost did each pay?
Answer:
jjee
Step-by-step explanation:
The volume of a cylinder is 72 pi ft and the radius is 6ft. What is the height?
Answer:
Height = 2
Step-by-step explanation:
If pi ≈ 3.14
[tex]72\pi = 226.08[/tex]
[tex]h = \frac{V}{\pi r^{2} }[/tex] =
[tex]h = \frac{226.08}{\pi *6^{2}}[/tex] =
[tex]h[/tex] = [tex]2[/tex]
la. There is 1/3 gallon of water in a 3-gallon container. What fraction of the container is filled write as a fraction
1/3 of a gallon divided by 3 gallons = 1/9
Answer:
1/3 is for 3 gallons is 1/9
AC has a length of _______ units. DE has a length of_______ units.
Answer:
AC= 13 and DE= 24
Step-by-step explanation:
use tge pythegorous theorum
for AC
a^2+b^2=c^2
(5x5) +(12x12)=c
25+144=169
√169 =13
DE
use the same approach
a^2+b^3=c^2
a2 +10^2=26^2
a^2+100= 676
676- 100= 576
√576= 26
hope it helps
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5.
The domain of the function f(x) is the set of integers greater than-5. Choose all the following values that represent the elements of the range fx).
A f(-10)
B. (-2)
cf(-5)
D118
E (0)
Ff(-18)
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What is the area of the rectangle?
Answer:
12,180
Step-by-step explanation:
got
Which of the following expressions are equivalent to 8 4/5+(3 2/10-1 1/5
The city is issuing bonds to raise money for a building project. You obtain a $1700 bond that pays 5% interest annually that matures in 9 years. How much interest will your earn?
Answer:
I=P0r
A=P0+I=P0+P0r=P0(1+r)
I is the interest
A is the end amount: principal plus interest
P0 is the principle (starting amount)
r is the interest rate (in decimal form. Example: 5%=0.05)
Step-by-step explanation:
How much ice cream will a family of 4 get if they equally share 1/2 of a gallon of ice cream?
A
18 of a gallon
B
14 of a gallon
C
2 gallons
D
8 gallons
Answer:
d 8 gallons
Step-by-step explanation:
all you have to do is divide 4 by 1/2 which would equal 8 so its d. Hope this helped
what is 3.) 4 3/4 x 2 1/8 = *
Answer: 55/8 or 6 7/8
Step-by-step explanation:
Pleas help dude or mama
Answer:
y=137⋅1.0912xy=137⋅1.0912x
Ingrese un problema...
A system of 2 intersecting lines has how many solutions? *
3 points
one solution
no solution
infinite solutions
Answer:
one solution
Step-by-step explanation:
one point of intersection = one solution
What is the equation of the line that passes through the point (-1, -5) and has a
slope of -1
someone do both of them for me
Answer:
2x > x
21x < 80
Step-by-step explanation:
Please mark as Brainliest!!!Please help I’m having trouble solving this☹️
You need to find the WPM (words per minute) of each person.
Andre - 208 divided by 4 = 52
Noah - 342 divided by 6 = 57
You now know that Andre types 52 words per minute and Noah types 57 words per minute.
Answer: Noah types faster because he types 57 words per minute while Andre types 52 words per minute.
Answer:Noah types faster.
Step-by-step explanation: For Andre ,You do 208 divide 4 which gives you 52.For Noah, you do 342 divide by 6 which gives you 57.And since Noah type more words which is 57 while Andre type 52, that means Noah types faster.
Hope it helps.
A recipe calls for 3 cups of flour to make 2 batches of dinner rolls. One batch makes 15 rolls. Laura is making dinner for 12 people and only needs one roll per person. What proportion will help Laura find how much flour is needed to make 12 dinner rolls?
Answer: 1.2 cups of flour
Step-by-step explanation:
3 cups: 2 batches
2 batches=30 rolls
required is 12 roles
3:30 then x:12
36=30x
x=6/5=1.2
Answer:
1/10 cup of flour per rollStep-by-step explanation:
3 cups of flour ⇒ 2 batches3 cups of flour ⇒ 2*15 = 30 rolls1 cup of flour ⇒ 10 rolls1/10 cup of flour ⇒ 1 rollFor 12 people Laura needs 12 rolls:
12*1/10 = 1.2 cups of flourwrite a five digit number with an 8 that is 10 times the value of 8 in 48,324
Answer:
800000
Step-by-step explanation:
the 8 is 10,000, so 10 x 10,000 = 100,000
100,000 put an 8 anywhere
TRUE or FALSE: If the variable is by itself, then it is understood to have a 1
as its coefficient.
Answer:
True
Step-by-step explanation:
The same goes for denominators. If there is a whole number, decimal, or variable without a denominator, you can automatically say that the denominator is 1. Because a number multiplied or divided by 1 stays the same.
which statement about 2x+1 is true
Answer:
i think A
Step-by-step explanation:
Answer:
I think the answer would be B
How many 1/3 cup serving are in 5/6 of a cup?
Answer:
2 1/3
Step-by-step explanation:
5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6
1/6+1/6 = 1/3
1/6 + 1/6 = 1/3
2 * 1/3 + 0.5(1/3)
2 1/3
Answer:
Step-by-step explanation:
5/6 : 1/3
[tex]\frac{5}{6}[/tex] x [tex]\frac{3}{1}[/tex]=15/6 =2 3/6= 2 1/2 cups serving
Order the steps to solve -3x + 2.4 = 19.2
Answer:
X = -5.6
Step-by-step explanation:
This is a two step equation so you subtract 2.4 from both sides and then multiply 16.8 by -3 to get -5.6. HOPE THIS HELPS ! :)
Answer:
answer in picture
Step-by-step explanation:
6X – 10y = 18
-6x + 5y = 12
solve by elimination
show your work
You can just cross out the Xs. Hope this helps.
If a is positive whole number which is greater a/5 or a/8 ?
Answer:
a/5
Step-by-step explanation:
You can choose a random number for a and see which is greater. For example, you can say a = 40.
That would mean a/5 = 8 and a/8 = 5. Since 8 is greater than 5, a/5 will always be greater.
If a is positive whole number then a/5 is greater than a/8.
To determine whether a/5 or a/8 is greater, we can compare the two fractions when a is a positive whole number.
To compare fractions, we can find a common denominator for both fractions and then compare the numerators.
The least common multiple (LCM) of 5 and 8 is 40. Therefore, we can rewrite the fractions with a common denominator of 40:
a/5 = (8a)/40
a/8 = (5a)/40
Now, we can compare the numerators:
When a is a positive whole number, 8a will always be greater than 5a because multiplying a by a larger number (8) results in a larger value than multiplying a by a smaller number (5).
So a/5 > a/8.
Hence, a/5 will be greater than a/8 for any positive whole number value of a.
To learn more on Fractions click:
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