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The two solids below are similar, and the ratio between the lengths of their edges is 3:5. What is the ratio of their surface areas?
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Answer: 9 : 25
Answer:
Step-by-step explanation:
Alright, lets get started.
The surface area of green solid is :
[tex]2 (3*3 + 3*3 + 3*3) = 2*27=54[/tex]
The surface area of orange solid is :
[tex]2(5*5 + 5*5 + 5*5) =2*75= 150[/tex]
So the ratios of their surface area will be :
[tex]\frac{54}{150}[/tex]
[tex]\frac{18}{50}[/tex]
[tex]\frac{9}{25}[/tex]
Hence the answer is 9:25 : Answer Hope it will help :)
find the sum. express your answer in simplest form 8m^2-6/n+3 + 9m^2-4/n+3
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1. You have the following expressions shown in the problem above:
(8m^2-6/n+3) + (9m^2-4/n+3)
2. As you can see, they have equal denominators, then you have:
(8m^2-6+ 9m^2-4)/(n+3)
3. Therefore, when you sum, you have the following result:
(17m²-10)/(n+3)
The answer is: (17m²-10)/(n+3)
if you had a rectangular sheet cake do you need to cut into 15 pieces how many pieces would have to be on each side to achieve that many servings out of the whole cake
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3 * 5 = 15.
You can cut the cake into 5 pieces along the length, and cut into 3 pieces along the width to get 15 pieces.
How do you find a missing height in a triangle?
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A = 1/2 (b)(h)
46 = 1/2 (10.1)(x)
46 = 5.05x
46/5.05 = x
9.1 = x
The height is 9.1
Hope this helps :)
The Perimeter of a triangle is 50 cm. One side is 7cm longer than the another side and 5 cm shorter than the third side. Find all the sides of the triangle.
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x+(x+7)+(x-5)=50
simplify:
3x+7-5=50
3x=48
x=16
16+7=23
16-5=11
So the thee sides are 11, 16 and 23.
Hope this helped.
Find the next two numbers in the pattern
12500, -2500, 500, -100,...
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The next two numbers are 20, and -4
Hope this helps!
A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is 1/9, and the probability of randomly pulling out a strawberry candy is 3/9, what is the probability of randomly pulling out a pineapple candy?
A: 2/9
B: 3/9
C: 4/9
D: 5/9
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A 12-sided number cube with the numbers 1 through 12 is rolled.
Select from the drop-down menu to correctly complete the statement.
Rounded to the nearest hundredth, the probability that the number cube lands on a number greater than 10 is .
0.17
0.25
0.75
0.83
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Total number of favourable outcomes (i.e. greater than 10) = 2
P(greater than 10) = 2/12 = 0.17
Answer: 0.17
You are finding the probability that you will roll a number greater than 10
You do this by doing the amount of favorable outcomes over the total amount of outcomes
There are 2 numbers greater than 10
There are 12 total numbers
This is a probability of 2/12
2/12 = 0.17
The answer is A)0.17
Hope this helps!
how many solutions are in the equation -(4x+7)= - 2+4x
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-(4x + 7) = -2 + 4x
We're trying to solve for "x," so let's first simplify this equation.
**Remember : a negative times a positive is a negative!**
-4x - 28 = -2 + 4x
Now, we need to get "x" onto its own side of the equal sign.
So, let's add 28 to both sides.
-4x - 28 (+28) = -2 + 4x (+28)
Simplify.
-4x = 4x + (28 - 2)
Then, subtract 4x from both sides.
-4x - 4x = (28 - 2)
Simplify!
-8x = 26
Divide both sides by -8.
-8x ÷ -8 = 28 ÷ -8
Simplify.
x = -28/8
Simplify.
x = -14/4
Simplify again.
x = -7/2
So, because x has a solution, this particular equation only has 1 solution!
~Hope I helped~
Evaluate the expression. If necessary, round to the nearest hundredth. log(-2)
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This is common logarithm to the base 10. What must be remembered here is that logarithm is not defined for zero and negative numbers. Logarithm can only be calculated for the positive numbers.
If you try find log(-2) or log of any negative number using calculator it will give you Math Error. So the answer to this question is Undefined.
Margie has a $50 budget to purchase a $45 pair of boots. If there is an 8% sales tax rate, then how much under budget will Margie be.
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Margie will be $1.40 under budget.
Suppose a triangle has sides 3, 4, and 5. Which of the following must be true? A. The triangle in question is a right triangle. B. The triangle in question is not a right triangle. C. The triangle in question may or may not be a right triangle.
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For this triangle you can apply Pythagorean theorem.
3²+4²=5²
9+16=25
25=25
~~
Why??
The pythagorean theorem is,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Plug in the numbers,
[tex] {3}^{2} + {4}^{2} = {5}^{2} [/tex]
↑
This is true
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
The probability of drawing a green marble from a marble bag is 40%. What are the odds in favor of drawing a green marble?
A. 5:2
B. 3:2
C. 2:3
D. 2:5
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Option: C is the correct answer:
C. 2:3
Step-by-step explanation:The odds in favor of an outcome is the ratio of number of ways the outcome could occur to the number of ways it could not occur.
Here we are asked to find the odds in favor of drawing a green marble.
Hence, it is the ratio of the number of ways the green marble will come up to the number of ways it could not come up.
The probability of drawing a green marble from a marble bag is 40%.
This means that the probability of not drawing a green marble from the bag is: 60%
( since, 100-40=60)
Hence, the odds in favor is: 40:60
i.e.
4:6=2:3
Luna ray has 5 orange picks and no green picks you add some green picks so 1 in every 3 picks is orange how many picks are there now
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Please help with 5,6,8, and 10
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5x + 5x(1.2)
Simplify to get:
5x + 6x = 11x
6. 7z - 1/3(7z)
Simplify the equation to get:
[tex]7z - \frac{7}{3} z[/tex]
Rewrite as:
[tex] \frac{21}{3}z - \frac{7}{3} z[/tex] and combine like terms to get [tex] \frac{14}{3} z[/tex]
8. [tex] \frac{3}{4}v - 6( \frac{2}{9}y) [/tex]
Rewrite as:
[tex] \frac{3}{4} v - \frac{12}{9}y [/tex]
And simplify to get:
[tex] \frac{3}{4}v - \frac{4}{3}y [/tex]
10. [tex]2x + \frac{2}{3}x + 5 + 11 - x [/tex]
Combine like terms:
[tex]x + \frac{2}{3}x + 16 [/tex] which becomes [tex] \frac{3}{3}x + \frac{2}{3} x + 16 [/tex]
Do it again and get your answer:
[tex] \frac{5}{3}x + 16 [/tex]
each side of rectangular polygon is 2.5cm in length .the perimeter of the polygon is 12.5cm.how many sides does the polygon have
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There are 5 sides (a pentagon). The perimeter is the length of one side times the number of sides.
Regular polygon has same length for all sides.therefore
no.of sides × length of each side = perimeter
n(2.5)=12.5
n=12.5/2.5
n=5
therefore no.of sides = 5
The polygon has 5 sides. The specific type of polygon with 5 sides is called a pentagon.
The perimeter of a polygon is the total length of all its sides. In a regular polygon, all sides are equal in length. So, if each side of the polygon is 2.5 cm and the perimeter is 12.5 cm, we can find the number of sides by dividing the perimeter by the side length:
Number of sides = Perimeter / Side length
Number of sides = 12.5 cm / 2.5 cm
Number of sides = 5
NEED HELP ASAP
Read the complete problem before answering. Josh worked 2 1/2 hours of overtime on the weekend. He makes $20.50 an hour for overtime. How much did Josh make in overtime on the weekend? A student solved the problem this way: Let n represent the amount of money Josh earned working overtime. 2 1/2 hours = 2.5 hours n = 2.5 × $20.50 n = $51.25 Josh made $51.25 in overtime on the weekend. Use a similar strategy to solve this problem. Maria needed 3 1/10 cups of white flour and 4 1/2 cups of whole wheat flour for her cookie recipe. Flour cost $0.50 a cup. How much will Maria spend on flour to make her cookies? A. $1.55 B. $2.25 C. $3.80 D. $5.35
Answers
Hope this helps :)
By converting mixed numbers to decimals and multiplying the total number of cups of flour by the cost per cup, we find out Maria will spend $3.80 on flour, which is option C.
To find out how much Maria will spend on flour to make her cookies, we need to calculate the total cost of white and whole wheat flour. Maria needs 3 1/10 cups of white flour and 4 1/2 cups of whole wheat flour. First, we convert the mixed numbers to decimal form: 3 1/10 cups is 3.1 cups, and 4 1/2 cups is 4.5 cups. Then we add them together to find the total number of cups Maria will use:
3.1 cups + 4.5 cups = 7.6 cups
Next, since flour costs $0.50 per cup, we multiply the total number of cups by the cost per cup:
7.6 cups × $0.50 per cup = $3.80
Therefore, Maria will spend a total of $3.80 on flour for her cookie recipe, making the correct answer C. $3.80.
Find the mean absolute deviation of the set of data 3,8,10,12,15
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48 / 5 = 9.6 or 10
3 - 7
8 - 2
10 - 0
12 - 2
15 - 5
7 + 2 + 0 + 2 + 5 = 16
16 / 5 = 3.2 or 3
The Mean Absolute Deviation is approximately 3
Post brainliest if this helped :D
The mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
To find the mean absolute deviation (MAD)
We have to find the mean (average) of the data set.
The mean is given by mean = (3 + 8 + 10 + 12 + 15) / 5
= 48 / 5
Mean= 9.6
Calculate the absolute deviation of each data point from the mean.
The absolute deviation of each data point from the mean is given by:
|3 - 9.6| = 6.6
|8 - 9.6| = 1.6
|10 - 9.6| = 0.4
|12 - 9.6| = 2.4
|15 - 9.6| = 5.4
The mean of the absolute deviations is given by:
MAD = (6.6 + 1.6 + 0.4 + 2.4 + 5.4) / 5
= 2.4
Therefore, the mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.
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Which two lakes are they?
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Lake B : 21/35 (simplifying by 7) = 3/5
Lake C : 3/9 (simplifying by 3) = 1/3
Lake D : 6/16 (simplifying by 2) = 3/8
Lake E : 24/30 (simplifying by 6) = 4/5
Alternative C, Lake A and Lake E
The expression 5(3 + 7) is a
sum.
product.
difference.
Answers
Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into his bag of goodies and select a treat. Then he replaces it with the same treat and shakes the bag before offering a treat to another person. Matrix’s bag bag of goodies contains the treats below.
Which model shows the probability of selecting each type of treat from his bag?
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Answer:
D. Swordfish treat: 20%
Lizard Lollies : 50%
Puffer pops: 30%.
Step-by-step explanation:
We are told that Matrix is handing out treats at a local protest to promote his new detective agency.
Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.
We know that [tex]\text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}[/tex].
Let us find probability of choosing each type of treat one by one.
[tex]\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{4+10+6}[/tex]
[tex]\text{Probability of choosing swordfish treat}=\frac{4}{20}[/tex]
[tex]\text{Probability of choosing swordfish treat}=0.20[/tex]
Therefore, the probability of choosing swordfish treat is 0.20 or 20%.
[tex]\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=\frac{10}{20}[/tex]
[tex]\text{Probability of choosing lizard Lollies}=0.50[/tex]
Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.
[tex]\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}[/tex]
[tex]\text{Probability of choosing puffer pops}=\frac{6}{20}[/tex]
[tex]\text{Probability of choosing puffer pop}=0.30[/tex]
Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.
Upon looking at our given choices we can see that option D is the correct choice.
Answer: D
Step-by-step explanation:
A forrest ranger wants to determine the radius of the trunk of a tree. She measures the circumference to be 8.6 feet. What is the trunk's radius to the nearest tenth foot?
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Answer:
As per the given statement: A forest ranger wants to determine the radius of the trunk of a tree. She measures the circumference to be 8.6 feet.
Shape of the trunk of a tree is circle.
Use the circumference formula:
[tex]C = 2\pi r[/tex]
where C is the circumference of a circle and r is the radius of a circle.
Solve for r;
Given: C = 8.6 feet and use [tex]\pi = 3.14[/tex]
Substitute the given value we get;
[tex]8.6 = 2 \times 3.14 \times r[/tex]
Simplify:
[tex]8.6 = 6.28r[/tex]
Divide both sides by 6.28 we get;
r = 1.6942675 feet
Therefore, the trunk's radius to the nearest tenth foot is, 1.4 ft
Answer:1.4
Step-by-step explanation:
that is it its not that hard
what is 39.6 times 5.20
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This is found by multiplying the 2 numbers together.
I hope this helps!
A bag holds 500 grams of sand. About how many grains of sand are in the bag? There are about 1,000 grains of sand in 1 gram.
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jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
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Jamaal spent x minutes on guitar and y minutes on homework, and the inequality representing his total practice time is x + y ≥ 45.
Explanation:The student, Jamaal, spent x minutes practicing his guitar and y minutes on homework. The fact that he spent 45 minutes or more on both activities combined is represented by the inequality x + y ≥ 45. This inequality states that the sum of the time spent practicing guitar and the time spent on homework is equal to or greater than 45 minutes. To solve this inequality, you would ensure that when you add the minutes spent on each activity, the total does not fall short of 45 minutes, which is the minimum amount of time Jamaal has to spend on these activities.
The inequality representing Jamaal's total practice and homework time is x + y ≥ 45, meaning the total time spent on both activities is at least 45 minutes.
Explanation:Jamaal spent x minutes today practicing guitar and y minutes on homework. If the total time he spent on both activities is at least 45 minutes, the inequality that best represents his practice time is x + y ≥ 45. This inequality indicates that when you add the minutes Jamaal spent practicing guitar and doing homework, the sum should be equal to or greater than 45 minutes.
Georgie needs to paint the wall with a fixing mixture.
She mixes glue and water in the ratio 3:1 to make the mixture.
Georgie needs 5 litres of the mixture.
She has 3.5 litres of glue. Does Georgie have enough glue to make 5 litres of the mixture?
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Answer:
You will need approximately 1.17 L of water with 3.5 L of glue. This is a total of 4.67 L, which is NOT enough.
Step-by-step explanation:
Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.
What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now it is given that,
Ratio of glue and water = 3 : 1
Amount of mixture = 5 litres
Georgie has glue = 3.5 litres
Now let x be the number,
So, Amount of glue in the mixture = 3x
and, amount of water in the mixture = x
⇒ Amount of mixture = 3x + x
⇒ 3x + x = 5
⇒ 4x = 5
⇒ x = 5/4
⇒ x = 1.25
Thus, Amount of glue in the mixture = 3*1.25 litres
⇒ Amount of glue in the mixture = 3.75 litres
So, Amount of glue in the mixture is greater than amount of glue Georgie has.
Thus, Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.
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The graph shows the number of public service announcements that a radio station played throughout the day. Public Service Announcements (PSAs) Aired. Which equation can be used to represent the number of public service announcements, y, in x hours?
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it would be C. Y=4X
Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half?
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10050 + 0.2(10050)
12060
Now we find the price paid by each:
12060/2
6030
Each person will pay $60.30
A satellite is to be put into an elliptical orbit around a moon. A vertical ellipse is shown surrounding a spherical object labeled moon The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km.
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Answer:
The equation of the ellipse is :
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Step-by-step explanation:
Formula for the equation of an ellipse is given by :
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
where a and b are the horizontal and vertical intercepts of the ellipse on the coordinate axis.
Here, a = 959 + 357
= 1316
And, b = 959 + 710
= 1669
So, the equation of the ellipse is :
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Help please I need to get this right
Answers
Answer:
[tex] a_{n} = - 5 {( - 2)}^{n - 1} [/tex]
[tex]b = - 5[/tex]
[tex]c = - 2[/tex]