The complete question is
A pizza with a diameter of 13 inches is cut into 12 equal slices. Jayden eats 1/3 of the pizza, representing an area of ____ square inches. Carson eats 5 slices of pizza, representing an area of ____ square inches.
Answer:
Jayden consume pizza with an area of 44.2498 inches squared.
Carsen consumes pizza with an area of 55.3125 inches squared
Step-by-step explanation:
Diameter is 13 inches,
Radius is diameter divided by 2
Radius = 13/2 = 6.5 inches
Area = pi times radius squared
Area = 3.142 x 6.5^2 = 132.7495.
For jayden, 1/3 of this will be
1/3 x 132.7945 = 44.2498 inches squared.
For carsen, the 12 slice of pizza will each have an area of 132.7945/12 = 11.0625 inches squared,
5 of those slices will have area of 5 x 11.0625 = 55.3125 inches squared.
A spinner has five equal sectors colored red, yellow, green, blue, orange. What is the
probability of landing on a yellow first and then on a blue sector after two consecutive
spins?
Answer: 5/25
5/50
Step-by-step explanation: If each part has 5 sections then it equals to 25 so you have a 5 out of 25 chance of getting it, The second time I added 25 twice since it says your spinning it twice, but you still only have 5 sections so you would have 5 out of 50
The calculated probability is 4 percent.
The student's question involves calculating the probability of two independent events occurring in sequence. Since each sector on the spinner is equal, the probability of landing on yellow for the first spin is 1 out of 5 or 0.2. Similarly, the probability of landing on blue for the second spin is also 1 out of 5 or 0.2.
Since these are independent events, their probabilities are multiplied to find the combined probability. Therefore, the probability of landing on yellow first and then on blue for the second spin is 0.2 * 0.2 = 0.04. This means there is a 4 percent chance of this outcome occurring.
Determine the solution to the system of equations below.
x - 3y = 1
3x-5y = 11
Final answer:
To solve the system of equations, use the method of substitution. Solve one equation for one variable and substitute the value in the other equation. Simplify and solve for the variable, then find the value of the other variable. The solution to the system is x = 7 and y = 2.
Explanation:
To determine the solution to the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
Step 1: Solve one equation for one variable
From the first equation, we can isolate x: x = 1 + 3y
Step 2: Substitute the value of the variable in the other equation
Substitute x = 1 + 3y into the second equation: 3(1 + 3y) - 5y = 11
Step 3: Simplify and solve for y
Expand the equation and simplify: 3 + 9y - 5y = 11
Combine like terms: 9y - 5y = 11 - 3
Simplify: 4y = 8
Solve for y: y = 2
Step 4: Find the value of the other variable
Substitute the value of y into the first equation: x - 3(2) = 1
Simplify and solve for x: x - 6 = 1
x = 7
Therefore, the solution to the system of equations is x = 7 and y = 2.
Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80
Makena made 11 quarts of punch. How many gallons of punch did she make
Answer:
2 3/4 gallons
Step-by-step explanation:
We know that there are 4 quarts in a gallon
11 quarts * 1 gallon/ 4 quarts
11/4 gallons
Changing to a mixed number
2 3/4 gallons
please answer, thanks! :)
Evaluate f(-3) for f(x) = 2x.
Group of answer choices
8
1/8
-8
-6
Evaluate the expression. a+b/c when a=to 24 b =36 and c =4
Answer:
(a + b)/c = 15
a + (b/c) = 33
Step-by-step explanation:
Evaluate the expression. a+b/c when a=to 24 b =36 and c =4
if you meant Evaluate (a + b)/c
then
(24 + 36) /4 = 60/4 = 15
or if you meant Evaluate a + (b/c) then
a + (b/c) = 24 + (36/4) = 24 + 9 =33
Find the slope of the line that passes through (68, -3) and (69, 76)
Answer:
79
Step-by-step explanation:
Hope this helps!
The equation which represents x, the width of the border is 2 left-bracket (12 + 2 x) + (15 + 2 x) right-bracket = 74. What is the width of the border?
Answer:
2 1/2
Step-by-step explanation:
If you do the step by step calculation:
Step 1: Simplify both sides of the equation.
2(12+2x+15+2x)=74
(2)(12)+(2)(2x)+(2)(15)+(2)(2x)=74(Distribute)
24+4x+30+4x=74
(4x+4x)+(24+30)=74(Combine Like Terms)
8x+54=74
8x+54=74
Step 2: Subtract 54 from both sides.
8x+54−54=74−54
8x=20
Step 3: Divide both sides by 8.
8x divide by 8 and that is 20 divided by 8
leaves you with the answer 5/2.
If you then turn the improper fraction into a mixed fraction you get 2 and one half.
Answer= 2 1/2 or "a" DEPENDS ON WHAT QUIZ YOU HAVE
Peace!
the inequality s > or = 92 represents the score s that jared must earn on his test to get a A on his report card. give two possible answers scores that jared could earn to get the A
Final answer:
Two test scores that fulfill the inequality s ≥ 92 are 92 and 95, meaning that Jared can get an A on his report card with either of those scores.
Explanation:
The inequality s ≥ 92 represents the score (s) that Jared must earn on his test to get an A on his report card. Since the inequality includes the 'greater than or equal to' symbol (≥), two possible test scores that Jared could earn to get an A would be 92 and any other number greater than 92, for instance, 95.
Find the value of X in the triangle shown below
X= ? ( in degrees)
Answer:
x=50
Step-by-step explanation:
since all triangles angles add up to 180 and x and the other corner look equal, than minus 80 from 180 and then divide by two (because of the 2 corners.) x=50 degrees
Will mark as brainiest
Answer:
I think it is cos J, because side LI = 17 and IM = 8, adjacent/hypotenuse= cosine, therefore cos J = 8/17 = sin L.
Please mark Brainiest, am trying to become Virtuoso
Please help me with this problem
Answer:
Step-by-step explanation:
x - 2 is a factor. Therefore, P(2) = 0
P(x) = x³ - 4x² + 3x + c
P(2) = 0
2³ - 4*(2)² + 3*2 + c = 0
8 - 4*4 +6 +c = 0
8 - 16 + 6 + c = 0
-2 + c = 0
c = 2
The graph of f "(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?
The graph of f has a relative maximum at x = 0.
The graph of f has a relative minimum at x = 0.
The graph of f has an inflection point at x = 0.
The graph of f has an x-intercept at x = 0.
Thank you in advance!
Answer:
The graph of f has an inflection point at x = 0.
Step-by-step explanation:
An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.
The statements "The graph of f has an inflection point at x = 0." is true
X-interceptThe meaning of X-INTERCEPT is the x-coordinate of a point where a line, curve, or surface intersects the x-axis.
How to solve this problem?F''(x) tells you whether the function is concave up, down, or where it's inflection points are.F"(x)>0 tells you it's concave up.F"(x)<0 tells you it's concave down.F"(x)=0 tells you there's a possible point of inflection at xSince this function is continuous and decreasing, we can assume that before it intercepts x at 0, it is concave up and after it intercepts, it continues to decrease which makes it concave down. Since F"(x)=0 & there is a change in sign, the statement 'The graph of f has an inflection point at x = 0." is true.From above reasons we can say that the statement "The graph of f has an x-intercept at x = 0." is true
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Bonnie is making a dipping sauce . She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
How much vinegar does Bonnie mix with every 1 milliliter of soy sauce?
For the vinegar into soy sauce it has to a fraction that’s what I’m confused on.
Answer:
1.5 or 3/2
Step-by-step explanation:
Answer: Bonnie uses 1.5 millimeters of soy sauce with every 1 millimeter of vinegar.
Bonnie uses 2/3 millimeter of vinegar for every 1 millimeter of soy sauce.
Step-by-step explanation:
6x+ 35=-7y slope intercept form
Answer:
y = -6/7x -5
Step-by-step explanation:
6x+ 35=-7y
Divide each side by -7
6x/(-7)+ 35/-7=-7y/-7
-6/7x -5 = y
Flipping the sides
y = -6/7x -5
This is slope intercept form
y = mx+b where m is the slope and b is the y intercept
Michael is training for a marathon. In his first week he plans to run 8 miles. Which path should he take?
Answer: B
Step-by-step explanation: Usa Pept
Final answer:
Michael's 8-mile training run should be on a path that is enjoyable and reflective of the marathon environment, helping to build endurance and maintain motivation.
Explanation:
Michael is training for a marathon and plans to run 8 miles in his first week. The appropriate path for him would depend on several factors including scenery, difficulty level, and whether the path is traffic-free. A key aspect of marathon training as illustrated through the personal story shared is a gradual increase in mileage and a lifestyle change towards constant movement. Michael's marathon training should ensure that his 8 miles are manageable and reflect the incremental changes in habits he's aiming for.
When selecting a path, Michael might consider one that is reflective of the marathon environment, which could include terrain similar to the race he plans to participate in, or he might choose a path known for its relaxing scenery to make the run enjoyable and maintain motivation. Regardless of the exact path taken, the focus should be on building endurance through consistent and enjoyable running experiences.
Find the slope of (-2,1),(-5,5)
Answer: m = - 4/3
Step-by-step explanation:
The formula to find slope is m = y2 - y1 / x2 - x1.
So for this problem I did 1 - 5 / -2 - (-5) which equals -4/3
Tom saves 35% of his salary . Jerry spends 3/5 of his salary and saves rthe rest of his salary work out who saves the most money each month you must show your working.
Final answer:
Jerry saves more money each month than Tom. Tom saves 35% of his salary, whereas Jerry spends 3/5 and saves the remainder, which is 2/5 of his salary. Assuming equal salaries, Jerry's savings are greater.
Explanation:
The question is asking us to compare how much Tom and Jerry save from their salaries. Let's assume each of them earns the same amount of salary, say for example $1000 (this figure is just for simplicity and can represent any currency or amount).
Tom saves 35% of his $1000 salary, which is 0.35 * $1000 = $350.
Jerry spends 3/5 of his salary, which is 3/5 * $1000 = $600. Therefore, he saves 2/5 of his salary because 1 - 3/5 = 2/5. So Jerry saves 2/5 * $1000 = $400.
Comparing the two, Jerry saves more each month since $400 (Jerry's savings) is greater than $350 (Tom's savings).
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
how are we supposed to help with that
Step-by-step explanation:
use your snip tool on your computer and connect them
Answer:
Use the numbers that they gave you..
Step-by-step explanation:
It's not that hard
Keenan has 28 CDs and 44 DVDs. What is the ratio of DVDs to CDs?
The ratio of DVDs to CDs in Keenan's collection is 11:7, after simplifying the original ratio of 44:28 by dividing both terms by their greatest common divisor, which is 4.
Keenan has a collection of 28 CDs and 44 DVDs. To find the ratio of DVDs to CDs, we divide the number of DVDs by the number of CDs. This gives us:
Ratio of DVDs to CDs = Number of DVDs / Number of CDs
Ratio of DVDs to CDs = 44 / 28
Now, we can simplify this by dividing both numbers by the greatest common divisor (GCD), which is 4 in this case:
44 / 4 = 11
28 / 4 = 7
So, the simplified ratio is 11:7.
Therefore, the ratio of DVDs to CDs in Keenan's collection is 11:7.
If the area of the circle is 97.9 units squared, what is the radius?
Answer:
r = 5.58
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
97.9 = 3.14 r^2
Divide each side by 3.14
97.9/3.14 =3.14 /31.4 r^2
31.17834395 = r^2
Take the square root of each side
sqrt(31.17834395) = sqrt(r^2)
5.583757153 = r
1. What has left tons of “space junk” in orbit around the earth?
robots sent on space missions
years of space exploration
lack of recycling
missiles in outer space
2. Countries around the world have agreed to limit the time their space tools stay in orbit to 25 years. As explained in the passage, what problem does this solution address?
the increasing amount of space junk in orbit around the earth
space agencies exploring space
Chinese efforts to blow up a satellite
objects moving around the planet at very high speed
3. Trash has become a problem in outer space too.
What evidence from the text best supports this statement?
The Chinese tried to blow up one of its satellites with a missile in 2007.
In England, a metal harpoon is being tested that can be fired into space, gripping space trash and pulling it back into the earth’s atmosphere to burn up.
The Germans have been planning a space mission with robots to collect some space trash and bring it back to Earth.
According to BBC News, there are more than 22,000 pieces of junk in space around the earth.
4. Why have countries agreed to build space tools that must fall safely into the earth’s atmosphere?
so that the tools can remove pollution from the atmosphere after returning from space
so that the tools burn up in the atmosphere and don’t become space junk
so that the tools pollute the atmosphere instead of outer space
so that the tools can analyze the different gases that make up the atmosphere after returning from space
5. What was the passage mostly about?
different missions scientists are trying in space
the effects that tiny pieces of space junk could have on the earth
the problem of space junk and scientists’ attempts to solve this problem
the problem of trash on planet Earth
6. Read the following sentences: “In our opinion the problem is very challenging and it's quite urgent as well,'’ said Marco Castronuovo, an Italian Space Agency researcher who is working to solve the problem. One reason that it’s urgent is that countries are sending more and more objects into space. Many of these objects are tools that help people use their cell phones or computers.”
What does the word urgent most nearly mean?
easy to solve
unnecessary
needs immediate attention
minor
7. Choose the answer that best completes the sentence below.
Years of space exploration have left tons of “space junk,” _______ many scientists are trying to find a way to clean up outer space.
so
instead
because
similarly
8. What did the 2009 collision of a United States satellite and a Russian satellite cause?
(please use complete sentences)
9. What have the Germans done to help clean up space junk?
(use complete sentences)
10. Different countries have explored or are exploring different methods to clean up space junk. Explain why some methods may be more effective than others. Use evidence from the text to support your answer.
Don't Guess the answers i will give you the link to read the passage that goes along with the questions!
Answer:
1-B
2-A
3-D
4-B
5-C
6-C
7-A
8- The collision resulted in significant debris in low Earth orbit.
9-
10-
Step-by-step explanation:
Which has a greater volume? Cylinder A:r= 3m, h=1.2m cylinder B: d=4m, h=2.5m round your answer for the nearest tenths
Cylinder A has a greater volume of approximately [tex]\( 33.9 \, \text{cubic meters} \)[/tex].
To compare the volumes of the two cylinders, we'll use the formula for the volume of a cylinder, which is:
[tex]\[ V = \pi \times r^2 \times h \][/tex]
Let's calculate the volumes step by step for Cylinder A and Cylinder B:
Cylinder A:
Given:
- Radius [tex](\( r \)) = 3m[/tex]
- Height [tex](\( h \)) = 1.2m[/tex]
Using the formula:
[tex]\[ V_A = \pi \times (3^2) \times 1.2 \][/tex]
[tex]\[ V_A = \pi \times 9 \times 1.2 \][/tex]
[tex]\[ V_A = 10.8\pi \, \text{cubic meters} \][/tex]
Cylinder B:
Given:
- Diameter [tex](\( d \)) = 4m[/tex] (so, \( [tex]r = \frac{d}{2} = \frac{4}{2} = 2 \) m[/tex])
- Height [tex](\( h \)) = 2.5m[/tex]
Using the formula:
[tex]\[ V_B = \pi \times (2^2) \times 2.5 \][/tex]
[tex]\[ V_B = \pi \times 4 \times 2.5 \][/tex]
[tex]\[ V_B = 10\pi \, \text{cubic meters} \][/tex]
Now, to determine which cylinder has the greater volume, we compare [tex]\( V_A \)[/tex] and [tex]\( V_B \)[/tex]:
[tex]\[ V_A = 10.8\pi \, \text{cubic meters} \][/tex]
[tex]\[ V_B = 10\pi \, \text{cubic meters} \][/tex]
Since [tex]\( 10.8\pi > 10\pi \)[/tex], Cylinder A has the greater volume.
Therefore, Cylinder A has a greater volume, approximately [tex]\( 10.8\pi \)[/tex]cubic meters.
Let's calculate the approximate numerical value for [tex]\( 10.8\pi \)[/tex]:
[tex]\[ 10.8\pi \approx 10.8 \times 3.14 \approx 33.912 \][/tex]
Complete correct question:
Which has a greater volume?
Cylinder A: r = 3m, h = 1.2m.
Cylinder B: d = 4m, h = 2.5m.
Round your answer to the nearest tenth.
Cylinder A has a greater volume.
To find the volume of a cylinder, we use the formula:
[tex]\[ V = \pi r^2 h \]For Cylinder A:- Radius \( r = 3 \) meters- Height \( h = 1.2 \) meters\[ V_A = \pi (3)^2 \times 1.2 \]\[ V_A = \pi \times 9 \times 1.2 \]\[ V_A = 10.8 \pi \][/tex]
For Cylinder B:
[tex]- Radius \( r = \frac{d}{2} = \frac{4}{2} = 2 \) meters- Height \( h = 2.5 \) meters\[ V_B = \pi (2)^2 \times 2.5 \]\[ V_B = \pi \times 4 \times 2.5 \]\[ V_B = 10 \pi \]Now, let's compare the volumes:\[ V_A = 10.8 \pi \]\[ V_B = 10 \pi \][/tex]
Since [tex]\( 10.8 \pi > 10 \pi \)[/tex], Cylinder A has a greater volume.
Rounded to the nearest tenth, the volume of Cylinder A is approximately 33.9 cubic meters, and the volume of Cylinder B is approximately 31.4 cubic meters.
Expand and combine like terms.
(x+3)(x+4)
Answer:
x^2 +7x+12
Step-by-step explanation:
(x+3)(x+4)
FOIL
first x*x= x^2
outer: 4x
inner:3x
Last 3*4=12
Add together
x^2+3x+4x+12
Combine like terms
x^2 +7x+12
What are all kinds of triangle
A triangle is a three-sided two-dimensional shape that can be classified based on side lengths and angle measurements. There are various types of triangles, including equilateral, isosceles, scalene, acute, right, obtuse, equiangular, and right-angled isosceles triangles.
Explanation:A triangle is a three-sided two-dimensional shape. It is a polygon, which is a closed figure with straight sides. Triangles can be classified based on their side lengths, such as equilateral (all sides are equal), isosceles (two sides are equal), and scalene (no sides are equal). They can also be classified based on their angle measurements, such as acute (all angles are less than 90 degrees), right (one angle is 90 degrees), and obtuse (one angle is greater than 90 degrees). Additionally, there are special types of triangles like equiangular triangles (all angles are equal) and right-angled isosceles triangles (one angle is 90 degrees and two sides are equal).
Solve for x to the nearest hundredth
3^x=38
Answer:
The value of x is 3.31 to the nearest hundredthStep-by-step explanation:
Given the equation [tex]3^{x} = 38[/tex], to calculate the value of x the following steps must be carried out;
Step 1;
Take the natural logarithm of both sides
[tex]ln3^{x}=ln38\\ xln3 = ln38[/tex]
Step 2;
Divide both sides by ln3
[tex]xln3/ln3=ln38/ln3\\x=ln38/ln3\\x=3.31[/tex]
The value of x is 3.31 to the nearest hundredth
A rectangle has an area of (x - 17x + 72) square units. Since the area of a rectangle is determined using the formula, A =
kw, what could be the length and width of the rectangle?
length = (x - 8) units and width = (x - 9) units
length = (x + 9) units and width = (x + 8) units
length = (x-6) units and width= (x - 12) units
length = (x + 12) units and width = (x + 6) units
Answer:
Step-by-step explanation:
x² - 17x + 72 = 0
Sum = -17
Product = 72
Factor = 8 , 9
x² - 17x + 72 = 0
x² - 8x -9x + (-8)*(-9) = 0
x(x - 8) -9(x -8) = 0
(x - 8 ) (x - 9) = 0
Length = (x - 8) units
Width = (x - 9) units
I think of a number, multiply by 2, subtract 6 and then divide by 4. If the answer is -8, what is the original number?
Answer:
-13
Step-by-step explanation:
you just start from -8 and work backwards.
so it's -8 multiply 4 to get -32, then add 6 to get -26, then divide 2 to get -13.
when you check from the beginning with -13, then it fits and the answer is -8!
Is x = 0 a valid potential solution to the equation log(x + 7) + log(x − 3) = 17? Question 9 options: A) No, because it isn't possible to take the logarithm of zero: log(0). B) No, because when x = 0, the second term is log(− 3), and it's impossible to take the logarithm of a negative number. C) Yes, logarithms are valid for any integer. D) No, because 17 isn't divisible by 7 or 3.
Answer:
its B
Step-by-step explanation:
No, x = 0 is not a valid solution for log(x + 7) + log(x − 3) = 17 .
Given,
log(x + 7) + log(x − 3) = 17
Here,
Substitute the value of x in the equation,
log(7) + log(-3) = 17
So,
log(-3) is not a valid number and thus its value does not exist .
Thus the equation can not be equated to 17 .
Hence option B is correct .
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