Answer:
343 : 729
Step-by-step explanation:
A cube is made up of 6 square faces. If each face has a side length of a, we can find the surface area of that cube with the formula [tex]A=6a^2[/tex], since we'll have 6 faces with area a². Let's call the edge length of the first cube a and the edge length of the second cube b. The ratio between their surface areas is then 6a² : 6b², or simply a² : b². If we compare this to our given ratio 49 : 81, we can see that a² = 49 and b² = 81, or, square rooting both equations, a = 7 and b = 9.
The volume of a cube with a side length a is a³, so the ratio between our cubes here must be a³ : b³. Using the values for a and b we just found, this ratio becomes 7³ : 9³, which we can simplify to 343 : 729.
Answer:
343 : 729
Step-by-step explanation:
If the ratio of the sides of a cube = a : b , then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Given ratio of areas = 49 : 81, then
ratio of sides = [tex]\sqrt{49}[/tex] : [tex]\sqrt{81}[/tex] = 7 : 9 , so
ratio of volumes = 7³ : 9³ = 343 : 729
What is the unit rate of 600 miles in 7 hours ?
Answer:
85.7
Step-by-step explanation:
At the beginning of the year, John had $40 in savings and saved an additional
$13 each week thereafter. Isaac started the year with $80 and saved $9 every
week. Let J represent the amount of money John has saved t weeks after the
beginning of the year and let I represent the amount of money Isaac has
saved t weeks after the beginning of the year. Write an equation for each
situation, in terms of t, and determine the number of weeks after the
beginning of the year until John and Isaac have the same amount of money
saved.
Answer:
J= 40+13t
I= 80+9t
they are equal at 10 weeks
Step-by-step explanation:
So we can start this by writing our equations
J= 40+13t
I=80+9t
To figure out when they're equal set the two equations equal to each other and solve for t
40+13t=80+9t
subtract 40 and 9t from both sides to get
40=4t
divide by 4 and get
t=10
N - 8, when n = -8
please do this asap
Answer:
-8-8 is equal to -16
10 points!!HELPP ME PLEASE ❗️❗️4. Figure HJKL - Figure PQRS
Which of the following completes this proportion?
HJ/PQ =HL/?
A KL
B PQ
C RS
D PS
Answer:
B I think b djdjdjdjddhjssj
what is 15.5z= - 77.5 i'm confused
Answer:
z=-5
Step-by-step explanation:
divide -77.5 by 15.5, which equals -5
-75= 50 + x what is the value of x?
Answer:
x=-125
Step-by-step explanation:
-75=50+x
-50 -50
-125=x
Answer: x= -125
Step-by-step explanation:
PLEASE HELP!! A community group would like to raise funds to pay for improvements to the community swimming pool. The group’s leaders are considering a number of methods to assess community interest in raising funds. Which of the following uses convenience sampling?
A. The group sends a survey through the mail to all community residents.
B. The group places a survey on a webpage where residents can register their support.
C. The group stands outside a shopping center and asks residents who enter if they support raising funds.
D. The group selects a random sample of homes in the community, and residents in those homes are interviewed.
Answer:
C
Step-by-step explanation:
Because convenience sampling is based on convenience
Also Edge 2021
helpppppp Pleaseee :)
PLEASE HELP ME ASAP :(
Solve for a.
= ✓ [?]
a
Enter the number that goes
beneath the radical symbol.
Enter
Answer that goes in the box = 28
===================================================
Explanation:
We have a white triangle shown as the empty space between the green squares.
This right triangle has the following sides:
a = unknown horizontal legb = 6 = vertical legc = 8 = hypotenuseUse the Pythagorean Theorem to solve for 'a'
a^2 + b^2 = c^2
a^2 + 6^2 = 8^2
a^2 + 36 = 64
a^2 = 64 - 36 ..... subtract 36 from both sides
a^2 = 28
a = sqrt(28) .... apply the square root to both sides
Optionally we can simplify like so
a = sqrt(28)
a = sqrt(4*7)
a = sqrt(4)*sqrt(7)
a = 2*sqrt(7)
But this would not fit the answer format your teacher has provided. So we'll stick to sqrt(28) as the final answer.
What number would you add to both sides of x2 + 7x = 4 to complete the square?
2^2
7^2
7^2/2
(7/2)^2
Answer:
(7/2)2
Step-by-step explanation:
A salesperson at a jewelry store earns7% commission each week. Last week, jarrod sold 450$ worth of jewelry. How much did he make in commission? How much did the jewelry store make from his sales?
Answer:
he made $31.50 in commission
the jewelry store made $418.50
Step-by-step explanation:
turn the percent to a decimal by moving it 2 places 7%=.07
then multiply .07 by 450 to get his commission =31.50
then subtract 31.50 and 450 = 418.50
The cost of items at store A is approximately Normally distributed with a mean of $4.15 and a standard deviation of $2.68. The cost of items at store B is approximately Normally distributed with a mean of $5.35 and a standard deviation of $1.75. Assume that A (the cost of a randomly selected item from store A) and B (the cost of a randomly selected item from store B) are independent random variables. Let D = A-B. Which of the following correctly interprets the mean of D?
o $1.20. One randomly chosen item will cost $1.20 less at store A than at store B.
0 -$1.20. On average, a person can expect to spend $1.20 less at store A than at store B for many randomly chosen items.
O $1.20. One randomly chosen item will cost $1.20 more at store A than at store B.
O $1.20. On average, a person can expect to spend $1.20 more at store A than at store B for many randomly chosen items.
O $9.50. On average, a person can expect to spend a total of $9.50 at stores A and B.
Answer:
Step-by-step explanation:
Its b I used chegg
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Please help. Are they parallel?
Answer:
yes
Step-by-step explanation:
Find the slope of the line through
the points (-2, 1) and (0,4).
Asap taking a test!!!
Answer:
m= 3/2
Step-by-step explanation:
It would be great if I got some help with this thank you:)
Answer:
A or c hopes this helps!!
Helppppnrejeisjcjjrwhajsjfhghfjebbdbfbgbfbfbdfbfbf lol sorry help if you want
Answer:
8 tablespoons of sugar
Answer:
8 teaspoons
Step-by-step explanation:
find the value of c to the nearest tenth
i need help with this
Answer:
4s[tex]{3}[/tex]
Step-by-step explanation:
4 cubes, Formula for cube is s^3
evaluate the expression 8x + 23 for x= 3
Answer:
47
Step-by-step explanation:
8×3+23
24+23
47
is the answer
Describe the slope in the graph of the following linear function.
Answer:
the first one
Step-by-step explanation:
Answer:
2nd one
Step-by-step explanation:
because you go down 4 and across 3
write the equation in slope intercept form 2x-6y-15=0
Can someone help me?
Answer:
The answer is 70
Write an algebraic expression for "8 less than the product of 3 and j"
Answer: 3(j)-8
Step-by-step explanation: well first the product means multiplication, so u multiply 3 and j. and the second part is 8 less than that, so 8 is the last part so u do 3 times j minus 8. i graduated from high school last year so i know what im doin
According to the question,
Let,
The first number be "3".The second number be "j".The third number be "8".Now,
The product of "3" and "j" will be "3j" and the third number i.e., "8" less than the product.
Then the equation will be:
[tex]3j-8[/tex]Thus the above response is appropriate.
Learn more about equation here:
https://brainly.com/question/19800103
I need help with this
Answer:
its 1.6
Step-by-step explanation:
Answer:
1.6
Step-by-step explanation:
Divide like normal, the negative signs cancel out on division and multiplication
The width of a rectangular piece of paper is 8.5 inches, and the diagonal length of the piece of paper is 14 inches. What is the length of this piece of paper in inches?
Evaluate the function expression
5•f(1)+5•g(9)=
Step-by-step explanation:
By getting our values from the graph,
When x = 1, the blue line has y-value -5.
When x = 9, the dotted line has y-value -6.
Hence,
f(1) + 5 * g(9) = (-5) + 5(-6) = -35.
Answer:
From the above graph,
→When x=1, y=f(1)=-5
→When x=9, y=g(x)=-6
• 5×f(1)+5×g(9)
=5{f(1)+g(9)}
=5{(-5)+(-6)}
=5(-11)
=-55
-55 is the right answer.can anyone help me on this
Answer:its 36
Step-by-step explanation:
Answer:
32+1.8
1.8*10=18
so the answer would be 50.
Step-by-step explanation:
help me with picture please 70 points.
Answer:
Plot the points on:
(1,2)
(3,6)
(5,12)
(9,18)
Thats it.
Help me please time Limit on this
Answer:
4 toy trains
Step-by-step explanation:
TRUE OR FALSE:
6a - a = 5a
Answer:
false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
