The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the lengths of the radii of two spheres is 5 : 8.
Now, We get;
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 5² : 8²
⇒ 5² / 8²
⇒ 25 / 64
⇒ 25 : 64
Thus, The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ7
Solve the equation and check your solution: 10 =1/3(x - 15).
Answer:
x=45
Step-by-step explanation:
10=1/3(x-15)
30=x-15
45=x
Answer:
Step-by-step explanation:
35
Which equation could be used to solve problems involving the relationships between the angles?
Answer:
see below
Step-by-step explanation:
The two angles are complementary so the sum is 90 degrees
7a+12 + 12+a = 90
Combine like terms
8a +24 = 90
Either equation would work to describe the relationship
Choose an equation that can be used to solve the problem. Adrian’s backpack has a mass of 15 kilograms. Theresa’s backpack has a mass of 8 kilograms. What is the total mass of both backpacks? *
15 - 8= 7
15 x 8= 120
15 + 8 = 23
15 + 8 + 2 = 25
If the measure of an angle is 49 degrees, what is the measure of its complement?
a. 41 degrees
b. 131 degrees
c. 139 degrees
d. 180 degrees
(with explanation)
Answer: a. 41 degrees
Complementary angles add up to 90 degrees.
So, to find the complement of an angle, subtract the angle's measure from 90 degrees.
The complement of a 49 degree angle is 41 degrees (90 - 49 = 41).
Hope this helps!
Damien purchased $43.11 worth of
coffee that sold for $23.95 per pound. How many pounds of coffee did Damien buy?
Answer:
1.8 pounds
Step-by-step explanation:
Take the total price and divide by the price per pound to determine the number of pounds
43.11/23.95 =1.8
Answer:
1
Step-by-step explanation:
He got about 1 pound :)
One employee pours 6 ounces of coffee in the large frappuccino.
Does this follow the instructions above? Why or why not?
Answer:
The employee doesn't follow the instructions.
Step-by-step explanation:
The instructions are shown in the figure attached.
For large large frappuccino the inequality is:
x ≥ 8
where x is ounces of coffee.
The employee pours 6 ounces of coffee, 6 is less than 8, then the inequality is not satisfied.
(04.02 MC)
Researchers claim that 10% of people are left handed. Suppose the researchers' claim is true. Mr. Thomas has an Algebra class with
25 students. What is the probability that exactly 4 of them are left handed?
0
0.1384
0.1023
0.0729
0.9020
Answer:
0.1384
Step-by-step explanation:
Using binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Given n = 25, r = 4, p = 0.10, and q = 0.90:
P = ₂₅C₄ (0.10)⁴ (0.90)²⁵⁻⁴
P = 12650 (0.10)⁴ (0.90)²¹
P = 0.1384
5,4,6,3 what comes next
*boop* i need help :P
15 divided by 6 2/3 =
A. 100/4
B. 23/4
C. 21/4
D. 100
Answer: [tex]2\frac{1}{4}[/tex]
Turn 6 2/3 into an Improper Fraction
Multiply [tex]6*3[/tex] and get 18. Now add [tex]2[/tex] and get [tex]20[/tex].
[tex]6\frac{2}{3} =\frac{20}{3}[/tex]
Do Keep Change Flip
Keep: [tex]15[/tex]
Change: ÷ into ×
Flip: 20/3 into 3/20
Your new Problem: [tex]\frac{15}{1} *\frac{3}{20}[/tex]
Multiply
[tex]\frac{15}{1} *\frac{3}{20}=\frac{45}{20}[/tex]
Simplify
[tex]\frac{45}{20} =2.25\\2.25=2\frac{1}{4}[/tex]
Answer:
[tex]2 \frac{5}{20} =2 \frac{1}{4} [/tex]
Answer C is correct.Step-by-step explanation:
[tex]
15 \div 6 \frac{2}{ 3 } \\ \frac{15}{1} \div \frac{20}{3} \\ \frac{15}{1} \times \frac{3}{20} \\ = \frac{45}{20} \\ = 2 \frac{5}{20} = 2 \frac{1}{4} [/tex]
Mr. Hoffman, a science teacher, drove 10 miles to school from home in 20 minutes. He drove the 2 miles home in 30 minutes. His average velocity was ____ m/s.
In the first one he drove about 0.5 miles per second and in the second one he drove about 0.07 miles per second so it gives you about 0.285 i believe
Lines s, t, u, and v are cut by transversal r. Clockwise from top left, the angles formed by r and s are blank, 89 degrees, blank, blank; formed by r and t are 89 degrees, blank, blank, blank; formed by r and u are 91 degrees, blank, blank, blank; formed by r and v are blank, 89 degrees, blank blank , Which lists all the lines that are parallel to line s? only line v
only line t and line v
only line u and line v
only lines t, u, and v
By using the congruent angle relationships formed by transversal cutting parallel lines, we can infer that only lines t and v are parallel to line s, as they form corresponding angles of 89 degrees with transversal r, unlike line u, which forms a 91-degree angle.
The information given in the question indicates that a transversal r cuts four lines s, t, u, and v. By the information given for the angles formed by this transversal with each line, we can determine which lines are parallel to line s using the concept of alternate interior angles and corresponding angles, which are congruent if the lines are parallel Since the angle formed by the transversal and line s is 89 degrees and a corresponding angle formed by the transversal and line t is also 89 degrees, we can say that line s is parallel to line t.
Similarly, since another angle formed by transversal and line v is also 89 degrees, it implies that line s is also parallel to line v. However, line u has an angle of 91 degrees formed by the transversal, which does not match the 89-degree angle formed by the transversal with line s, indicating that line u is not parallel to line s. Given this information, the lines parallel to line s are only line t and line v.
Find the circumference of the circle (use 3.14 for pi). Round to the nearest tenth.
Answer:
37.7
Step-by-step explanation:
The formula is C = 2 • 3.14 • r , you multiply the radius by pi/3.14, then you multiply that by product by 2.
For his phone service, Sam pays a monthly fee of $22, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is $69.32.
What are the possible numbers of minutes he has used his phone in a month?
Usem for the number of minutes, and solve your inequality for m.
We are planning a reception for our daughter. The hall that we are renting charges a $50 cleanup fee. In addition to the cleanup fee, they charge $33 per guest for food and drinks.
If we have $3,300.00 available, what is the maximum number of guest we can invite without going over our budget?
Answer:
98 guests
Step-by-step explanation:
First, you would take the amount of money available, $3,300.00, and subtract the cleanup fee ($50) from that.
You would get $3,250
Next, you divide $3,250 by the amount of money per guest ($33).
Your total is 98.48 repeated
That rounds to 98 people, since you can't go over.
Hope this helps you!
Consider the tables.
Which table shows input and output values that represent a cubic function?
Table B
Table A
Table D
Table C
Answer:
Table C
Step-by-step explanation:
The input and output values represent a cubic function because you find the 3rd differences between the outputs and they are both -640
I don’t understand how to solve this
Please help me! I’ll give you some points.
Answer:
x=14°
Step-by-step explanation:
(6x + 2°) + (8x + 6°) + (7x + 4°) = 180°
21x + 12° = 180°
21x = 168°
x=14°
Answer:
Step-by-step explanation:
Vertically opposite angles are equal.
∠3 = ∠1
4x = x + 54
Subtract x form both sides
4x - x = x + 54 - x
3x = 54
Divide both sides by 3
3x/3 = 54/3
x = 18
∠1 = x + 54 = 18 + 54 = 72°
4) EFC is straight line
∠CFB +∠BFA +∠AFE = 180°
6x + 2 + 8x + 6 + 7x +4 = 180
6x+ 8x + 7x + 2 + 6 + 4= 180
21x + 12 = 180
21x = 180 - 12
21x = 168
x = 168/21
x = 8
You switch the positions of two items on your menu. Chicken tenders sales drop from $800 to $600. Food cost for chicken tenders is 25%. Cheeseburger sales rise from $500 to $700. Food cost for cheeseburgers is 20%. Was this a good move?
a) Yes, gross margin increased
b) No, gross margin decreased
c) Didn't change gross margin
Answer:
yes gross margin increased
Step-by-step explanation:
Final answer:
a) Yes, gross margin increased
Switching the menu items resulted in an overall increase in gross margin by $10, as the $60 increase in gross margin from cheeseburger sales exceeded the $50 decrease in gross margin from chicken tenders. Therefore, this was a good move.
Explanation:
To determine whether switching the positions of two menu items was a good move, we should calculate the change in gross margin for both items. Gross margin is calculated as sales minus the cost of goods sold (COGS) and reflects the profitability prior to accounting for operating expenses.
For chicken tenders, the drop in sales from $800 to $600 represents a $200 decrease. With a food cost of 25%, the COGS for chicken tenders would be 25% of sales. Before the switch, the COGS was $200 (25% of $800), and after the switch, it became $150 (25% of $600). This means that the gross margin for chicken tenders decreased by $50 (from $600 to $550).
For cheeseburgers, the increase in sales from $500 to $700 is a $200 increase. The food cost being 20%, we had an initial COGS of $100 (20% of $500) and a new COGS of $140 (20% of $700). Consequently, the gross margin for cheeseburgers increased by $60 (from $400 to $460).
Comparing the two changes in gross margin, the increase for cheeseburgers exceeds the decrease for chicken tenders by $10 ($60 increase for cheeseburgers minus $50 decrease for chicken tenders). Therefore, the overall gross margin increased as a result of the switch.
The answer to the question is: a) Yes, gross margin increased.
Simplify the following: Will give brainliest.NEED ANSWER ASAP
Answer
the answer is in the picture
Step-by-step explanation:
Answer:
[tex]\frac{2(2-x^2)}{5x}[/tex]
Step-by-step explanation:
Before we can subtract we require the fractions to have a common denominator.
Multiply the numerator/ denominator of the second fraction by x
[tex]\frac{4}{5x}[/tex] - [tex]\frac{2x^2}{5x}[/tex]
Now subtract the numerators leaving the denominator
= [tex]\frac{4-2x^2}{5x}[/tex] = [tex]\frac{2(2-x^2)}{5x}[/tex]
Which of the following expressions is equal to x2 +9?
Answer
Is (x+3) 2 becase X *2 + 9 is the similar to (x+3)2
The given expression x² + 9 is equivalent to (x+3i)(x-3i).
Hence option B is correct.
The given expression is,
x² + 9
It is equivalent to (x+3i)(x-3i).
When we expand this expression, we get,
x² - 3ix + 3ix - 9i²
Since i² is equal to -1,
Simplify the expression to x² + 9.
The answer option (A) (x+3i)(x-6i) is not equivalent to x² + 9 as it will result in a last term of -18i² instead of +9i².
Similarly, option (C) (x-3i)² is equal to x² - 6ix + 9i², which is also not equivalent to x² + 9.
Option (D) (x+3i)² will result in x² + 6ix - 9i², which is not equivalent to x² + 9 either.
Therefore, the correct answer to the given expression is,
Option (B) (x+3i)(x-3i).
To learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
You have saved $18,000 for a down payment on a house. Your bank requires a minimum down payment of 17%. What is the maximum price you can offer for a home in order to have enough money for the down payment?(Round your answer to two decimal places).
How many different combinations are there of the digits 46987?
Answer:
1,00000,00,00
Step-by-step explanation:
The digits 46987 can be arranged in 120 unique combinations using the permutation formula 5! (5 factorial), accounting for all possible orders of these digits.
While organizing the digits 46987, there are 120 unmistakable mixes conceivable. Still up in the air by ascertaining the factorial of the quantity of digits (5!), yielding 120. Every game plan brings about a remarkable mix. For instance, 46987, 78694, and 98746 are among the changed stages.
The idea of changes has expansive applications, going from arithmetic to software engineering, where request matters. In combinatorics, the investigation of counting and game plan, changes assume an essential part. These 120 mixes grandstand the adaptability of revamping only five digits.
Showing the dramatic development in potential outcomes as the quantity of digits increments. This numerical standard impacts fields like cryptography, where producing one of a kind successions is significant for security. Generally, the changes of 46987 outline the charming and strong parts of numerical control and request.
To learn more about Combinations, refer:
https://brainly.com/question/18820941
A bag contains 40 marbles. 8 are green and 2 are blue. You select one marble at random. What is the probability the marble is not green or blue? P(green
or blue)
0.2
0.02
0.75
0.25
Answer:
0.75
Step-by-step explanation:
its 0.75 because when you divide 40/ the total of the blue and green marbels it equals 0.75
Answer:
0.75
Step-by-step explanation:
8 + 2 = 10.In total there are 40.So that makes it 3/4.1/2 is 20.Add 1/4 and you get 3/4 or 75%.When you add 1/4 you are adding 10 to 20.That gives you 30 or 75 % of 40.
Please.This Is NOT Plagiarized.
Help me im stuck answer correctly
Answer:
23 1/24
Step-by-step explanation:
70 1/3 minus 24 1/4 divided by 2
Write 21e-10 in standard form.
Answer:
you cant put this equation in standard form
Step-by-step explanation:
A parking garage has a tented area with a slanted roof.
A rectangular prism and a triangular prism. The rectangular prism has a length of 40 feet, width of 15 feet, and height of 20 feet. The triangular prism has a triangular base with base 20 feet and height 20 feet. The prism has a height of 40 feet.
Dimensions of the triangular prism
Base – 20 feet by 20 feet
Height – 40 feet
Dimensions of the rectangular prism
Base – 15 feet by 40 feet
Height – 20 feet
What is the total amount of volume inside the parking garage?
ft3
Answer:
20,000 f
Step-by-step explanation:
did he work AND ES
The total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.
What is of volume of a triangular prism?Volume of triangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a triangular prism is base area (B) times height of it.
[tex]V=B\times h[/tex]
The volume of a rectangular prism is the product of its width, height and length.
[tex]V=w\times h\times l[/tex]
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A rectangular prism and a triangular prism. The rectangular prism has a length of 40 feet, width of 15 feet, and height of 20 feet. The volume of this prism is,
[tex]V=20\times15\times40\\V=12000\rm\;ft^3[/tex]
The triangular prism has a triangular base, with base 20 feet and height 20 feet. The prism has a height of 40 feet. The volume of this prism is,
[tex]V=\dfrac{20\times20}{2}\times40\\V=8000\rm\;ft^3[/tex]
Total volume of the parking area is,
[tex]V=12000+8000\\V=20000\rm\; ft^3[/tex]
Thus, the total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.
Learn more about the volume of a triangular prism here;
https://brainly.com/question/15129289
A skateboard ramp at the skate park is in the shape of a triangular prism. What is the lateral surface area of the ramp? (SA = Ph)
1,008 square meters
108 square inches
900 square meters
954 square meters
Answer:
I would need more information to solve the problem, such as the dimensions of the triangular prism ramp.
Your school is renting an indoor water park for a school outing. The water park costs $1500 for the day.
A. How many students need to go to the water park so that each person pays $6 each?
B. Reasoning The water park can hold up to 450 people. Does the park hold enough students so that each person pays only $3:50 each?
A. 250 students need to go to the water park for them to pay 6 dollars each.
B. Yes, the park can hold enough since there would be 428 students renting for 3.50 each.
Please mark me brainliest! <3
2(x+3)-3x+x-6=7x-14
Solve for X
Answer:
2
Step-by-step explanation:
2(x+3)-3x+x-6=7x-14
Expand parentheses:
2x+6-3x+x-6=7x-14
Combine like terms:
0=7x-14
Add 14 to both sides:
7x=14
Divide both sides by 7:
x=2
Hope this helps!
Identify the function represented by the graph?
Answer:b
Step-by-step explanation: just common sense
To identify the function represented by a graph, one must analyze the slope, intercepts, and shape of the graph. The graph of a constant function is a horizontal line, while the predator-prey cycle would show an oscillating pattern. The potential energy graph in physics can display a double well pattern, while signal transduction might show a cascade over time, and motion graphs represent various types of movement.
Explanation:Identifying the function represented by a graph involves analyzing various elements such as the shape of the graph, its slope, and intercepts, as well as any restrictions on the domain. For instance, when you come across a graph of a function that appears as a straight line, it's crucial to look at the slope and y-intercept to determine the equation of the line. If the graph is a horizontal line, then the function represents a constant value indicating that no matter the change in the independent variable x, the dependent variable y remains the same.
For analyzing a predator-prey cycle, we need to recognize the typical oscillating pattern that represents populations of predators and preys over time. When interpreting graphs showing potential energy in physics, we are often looking at a function that might show the energy levels as a function of position, with critical points determined by solving relevant equations and considering derivatives to find minima and maxima.
In the context of a biological process such as signal transduction, creating a graph would involve plotting the stages of the signaling pathway over time, which would likely result in a plot showing the cascade of events leading from the signal to the final response. When considering the graphs of the position of a moving object over time, we might see different types of curves representing different types of motion, such as uniform motion depicted by a straight line or accelerated motion depicted by a parabolic curve.
Learn more about Graph Analysis here:https://brainly.com/question/30099251
#SPJ2
Ben and his friends are having a TV marathon, and after 4 hours they have watched 5 episodes of the show. About how long will it take to complete the season, which has 24 episodes?(Give good explanation and steps)
(redo)
Answer:
19.2 hours.
Step-by-step explanation:
There are 60 minutes in an hour.
60 x 4 = 240
There are 240 minutes in 4 hours.
Next, find out how long each episode is.
240 / 5 = 48.
48 minutes is how long each episode is.
48 x 24 = 1152
The entire season would be 1152 minutes.
1152 / 60 = 19.2.
Feel free to let me know if you need more help. :)