There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?
The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.
The formula of the volume of a sphere is given below
⇒ Formula:
V = 4/3(πr³)................. Equation 1⇒ Where:
V = Volume of the spherer = radius of the sphereπ = constant called pieFrom the question, There are two spheres.
If the radius of the bigger sphere is two times the radius of the smaller sphere.
R = 2r⇒ Where
R = bigger radiusr = smaller radiusFor the bigger sphere
⇒ Substitute these values into equation 1
V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2For the smaller sphere,
V' = 4/3(πr³)............... Equation 3⇒ Comparing equation 2 and equation 3
V = 8V'Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.
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A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?
Answer: 3 hours
Step-by-step explanation:
4x+3y=7 what is the coefficients
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how can I simplify of 9/20:3/5 please explain step by step
Answer:
Mark as brainlist
Step-by-step explanation:
Steps for dividing fractions
Find the reciprocal of the divisor. Reciprocal of 35: 53.
So, 920 ÷ 35 = 920 × 53.
= 9 × 520 × 3 = 4560.
After reducing the fraction, the answer is 34.
Answer:
3/4
Step-by-step explanation:
9/20:35=9/20/3/5
=9/20*5/3
=45/60
=simplify both numbers by 15
=3/4
Please answer these!!!! :D
(-1,-3); slope 5
PLEASE HELP
Statement of cash flows (partial)
The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?
A. 14 cm
B. 49 cm
C. 60 cm
D. 7 cm
Answer:
the answer is 14
Step-by-step explanation:
[tex]1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14[/tex]
hope this helped
The sum of the bases of a trapezoid using height is 20 cm is 14 cm.
Thus, option (A) is correct.
The formula to calculate the area of a trapezoid is given by:
Area = 1/2 x height x sum of bases
Given that the area is 140 cm² and the height is 20 cm.
Now, rearrange the formula to solve for the sum of the bases:
Sum of bases = (2 x Area) / (height)
Substitute the given values:
Sum of bases = (2 x 140) / (20)
= 14
So, the sum of the bases is 14 cm.
Thus, option (A) is correct.
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Mark which expressions represent the distance between 46 and-15
2,548 rounded to the nearest hundred
Answer:
the answer is 2,500
Step-by-step explanation:
any number higher than 5 you round up but any number lower than 5 you round down.
4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.
Help , please ?? If you can thank you ..4 more
[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]
PLEASE I NEED FAST CLEAR ANSWERS
Answer:
A, B and C
Step-by-step explanation:
They all can mirror to overlap perfectly with the other side of the shape.
D and E can not
I hope this helps :)
Answer:
A C B
Step-by-step explanation:
those are the right answers i just did it hope it helps
3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's do they have?
Answer:
192
Step-by-step explanation:
The 7 part of the ratio relates to Taylor's 84 CDs
Divide the amount by 7 to find the value of one part of the ratio.
84 ÷ 7 = 12 ← value of 1 part of the ratio, then
9 parts = 9 × 12 = 108 ← number of CDs Dave has
Total CDs = 84 + 108 = 192
Help please and thanks
Answer:
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
Step-by-step explanation:
Consider the figure
We have
[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]
[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]
[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
A farmer's total payment for tools and compost over the course of two years is $27,894. Write and
solve an equation to find the payment for the second year if the first year’s payment is $10,205.
Answer:
The second years payment is 17689.
Step-by-step explanation:
If the first year is $10,205 then you subtract 10205 from 27894 which is 17689.
Equation: $27894-$10,205= $17689
14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12
Check the picture below.
Lashonda finished a race in 5 minutes. How many seconds is this
Answer:
300 seconds
Step-by-step explanation:
There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.
5 x 60 = 300
-hope it helps
Answer:
360 sec
Step-by-step explanation:
this is because 60sec is one mintute
so 60x5= 360
b) Abus covers 270 km distance in 6 hours. (i) Find the speed of the bus in km per bour. (ii) How many kilometres does it travel in 9 hours at the same speed ?in full languages
Answer:
(i)= 45 KPH, (ii) = 251 miles
Step-by-step explanation:
'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.
Then, to see how far a nine hour trip would cover, distance = speed * time = 251 miles.
Answer:
Below.
Step-by-step explanation:
(i) Speed of the bus = 270/6 = 45 km/hour.
(ii) In 9 hours it travels 45 * 9 = 405 km.
What is 10% of 75? Use the double number line below to label your work and answer.
Answer: the answer is 7.5
Step-by-step explanation:
128x^2-162
How do you factor this
If any doubt leave a comment
48 is what percent of 12
Answer:
48 is 25% of 12
Step-by-step explanation:
This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)
Answer:
1950-1980
Step-by-step explanation:
...........
When a number is subtracted from 24 and the difference is divided by that number, the result is 3. What is the value of the number?
a) 2
b) 4
c) 6
d) 12
e) 24
Find the least common denominator for these fractions. Enter your answer in
the space provided.
Answer:
5/12
Step-by-step explanation:
1/4 and 1/6 are fractions.
As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.
The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.
Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.
1*3/4*3 = 3/12
Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.
1*2/6*2= 2/12
However, we have two new fractions with same denominator now, that is 3/12 and 2/12
We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)
5/12
Birdseed costs $0.57 a pound and sunflower seeds cost $0.87 a pound. Angela Leinenbachs' pet store wishes to make a 30 pound mixture of birdseed and sunflower seeds that sells for $0.81 per pound. How many pounds of each type of seed should she use?
Step-by-step explanation:
x = pounds birdseed
y = pounds sunflower seeds
x + y = 30
0.57x + 0.87y = 30×0.81
with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.
from the first equation we get
x = 30 - y
and we use that in the second equation :
0.57×(30-y) + 0.87y = 30×0.81 = $24.30
17.1 - 0.57y + 0.87y = 24.3
0.3y = 7.2
y = 24
x = 30 - y = 30 - 24 = 6
she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.
Need help with math
I have no idea math should have been working hade books bye sorry
I thought of a number. This number double is 7 less than 29. What is my number? hurry please
Answer:
11
Step-by-step explanation:
11*2=22
29-7 =22
Answer:
11
Step-by-step explanation:
Let x be your number
Is means equals
2x = 29-7
2x= 22
2x/2 = 22/2
x =11
I need help doing this
fnd the highest common factor of -8xy and 20y
Answer:
[tex]\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}[/tex]
Step-by-step explanation:
[tex]-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}[/tex]
WILL GIVE BRAINLIEST
Answer:
its the 2nd and the 6th one
Step-by-step explanation: