Answer:
B
Step-by-step explanation:
I also took a test
The correct answer is that neither prism has a greater volume they must have the same volume.
Let denote the volume of prism A as [tex]\( V_A \)[/tex] and the volume of prism B as [tex]\( V_B \).[/tex] According to the problem statement, we have the following relationships:
1. Prism A has 17 more cubic units of volume than prism B:
[tex]\[ V_A = V_B + 17 \][/tex]
2. Prism B has 3 more cubic units of volume than prism A:
[tex]\[ V_B = V_A + 3 \][/tex]
3. Prism B has 8 more cubic units of volume than prism A:
[tex]\[ V_B = V_A + 8 \][/tex]
However there is a contradiction in the last two statements. Prism B cannot have both 3 more cubic units and 8 more cubic units than prism A. This suggests there might be a typographical error in the problem statement.
Assuming there is a mistake and we only consider the first two statements, we can solve for the volumes by setting the two equations equal to each other since both right-hand sides are equal to [tex]\( V_B \):[/tex]
[tex]\[ V_B + 17 = V_A + 3 \][/tex]
Now, we can solve for [tex]\( V_A \)[/tex]in terms of[tex]\( V_B \)[/tex] using the first equation:
[tex]\[ V_A = V_B + 17 \][/tex]
Substitute \( V_A \) into the second equation:
[tex]\[ V_B = (V_B + 17) + 3 \][/tex]
Simplify the equation
[tex]\[ V_B = V_B + 20 \][/tex]
This simplifies to:
[tex]\[ 0 = 20 \][/tex]
This is not possible, which means our initial assumption that the two statements could be true simultaneously is incorrect. The only logical conclusion, given the contradictory information, is that neither prism has a greater volume; they must have the same volume. This is the only way to satisfy the condition that each prism has more volume than the other by different amounts.
Therefore, the volumes of prism A and prism B are equal:
[tex]\[ V_A = V_B \][/tex]
This resolves the contradiction in the problem statement. The volumes of the two prisms must be the same for the given conditions to hold true.
A number line is numbered in tenths Describe where you would plot √87.35
Answer:
Plot at 9.3
Step-by-step explanation:
Take the square root of 87.35
sqrt(87.35)
9.346122191
Rounding to the nearest tenth
9.3
Plot at 9.3
Find the circumference and area of a circle whose radius is 12.4 cm.Give your answer to the nearest centimeter (whole #). Circumference = cm Area = cm2
Final answer:
The circumference of the circle is approximately 78 cm and the area of the circle is approximately 484 cm².
Explanation:
The circumference of a circle can be found by using the formula:
Circumference = 2πr, where r is the radius of the circle.
Given that the radius is 12.4 cm, we can substitute this value into the formula:
Circumference = 2π(12.4 cm)
Using an approximation of π as 3.14, the calculation becomes:
Circumference = 2(3.14)(12.4 cm) = 77.9 cm
Therefore, the circumference of the circle is approximately 78 cm (to the nearest whole number).
The area of a circle can be found by using the formula:
Area = πr²
Substituting the given radius into the formula:
Area = 3.14(12.4 cm)² = 483.864 cm²
Therefore, the area of the circle is approximately 484 cm² (to the nearest whole number).
Simplify 6 x 10−7 2 x 105 .
Answer:
-49
Step-by-step explanation:
it would be this because first we would have to figure out what 6*10 is that why we know what to distribute . so once we figure it out , which is 70 . We would then subtract 14 from 70 . Since 7 is right next to 2 we would then multiply it to get to 14. Once we get that you should get 56, from there you would subtract 56 to 105 , and get your answer.
* Required
How do you name a prism or pyramid? *
10 points
O
by
by the shape of its face
O
by the number of edges it has
O
by the number of vertices it has
O
by the shape of its base
What parts of prism make up its faces? Check all that apply. *
10 points
bases
Answer:
by the number of edges it has
Step-by-step explanation:
cuz a prism has more sides than a pyramid
2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9. Which of these inferences about the two debate teams are true? Check all that apply. West Side is more consistent at winning. East Side is more consistent at winning. East Side typically wins more debates per year than West Side. West Side typically wins more debates per year than East Side. These graphs do not contain enough information from which to draw inferences.
B. East Side is more consistent at winning.
&
C. East Side typically wins more debates per year than West Side.
Kanesha wants to find out if people in her community would support a dog park. Which populations would be appropriate to sample for the survey?
A. People shopping at local pet store.
B. Parents of small children in the community.
C. Children attending the local school.
D. Owners of local businesses.
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
A pack of 6 cans of pop costs £1.80. A pack of 10 cans of pop costs £3.50.
Which one should you buy?
Let us look at the cost per can of both packs.
Cost of can in 6-pack = 1.80/6
= £0.30
Cost of can in 10-pack = 3.50/10
= £0.35
Since the cost of a can in the 6-pack is cheaper, it would be better to buy the 6-pack if you were looking to save money.
What is the expanded form of the series represented below?
S5 = [-3+(k=16]
-3+2+7+12+17
-3+3+8+13+ 18
O2+7+12+17+22
5+2+(-1)+(-4)+(-7)
Pls hurry for a test
Answer:a
Step-by-step explanation:
The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.
The vertex is the maximum value.
The axis of symmetry is x = –4.
The domain is all real numbers.
The range is all real numbers.
The function is increasing over (–∞, –4).
The x-intercepts are at (–6, 0) and (–2, 0).
Answer:
B C F
explanation:
Took the test
Answer:
B C F
Step-by-step explanation:
edge
A baking pantry is making packages. Each package contains 4 identical bags of flour and a 7 pound bag of sugar. The package weighs a total of 64 pounds. How much does each bag of flour way
Answer:
The answer is 14.25 pounds.
Step-by-step explanation:
If the package contains 4 bags of flour and a 7 pound bag of sugar which weighs 64 pounds in total;
The total weight of the flour bags is 64 - 7 = 57 pounds.Since the flour bags are identical, they weigh the same. If we divide 57 by 4, we can find that the weight of each bag of flour is 57 / 4 = 14.25 pounds.I hope this answer helps.
Rearrange your equation from part A by setting it equal to 0 and substituting y for 0. Then write the equation in the form y = (x – h)2 – c.
Answer:
y = (x - 1)^2 - 8
Step-by-step explanation:
Your answer from part A should be: (x - 1)^2 = 8
You are simply changing the format of the equation from
0 = (x - 1)^2 - 8 to y = (x - 1)^2 - 8
Hope this helps!
Answer:
y = (x-1)² - 8
Step-by-step explanation:
The response from part A is (x – 1)2 = 8, where h = 1 and c = 8.
Set the equation equal to 0:
0 = (x – 1)2 – 8.
Substitute y for 0 and keep the equation rewritten in the form y = (x – h)2 – c:
y = (x – 1)2 – 8.
P(1, 0) corresponds to
( , ) on the sine graph.
Answer:
Step-by-step explanation:
P(1,0) corresponds to (0,0)
P(0,1) corresponds to (90,1)
P(-1,0) corresponds to (180,0)
P(0,-1) corresponds to (270,-1)
The points (0, 0), (0, 1), (-1, 0), (0, -1) when traced on the graph respectively correspond to; (0, 0), (90, 1), (180, 0), (270, -1)
How to Interprete Sine Graphs?A) From the given graph, we can see that the point P(1,0) when traced corresponds to (0,0) because sin 0 = 0.
B) From the given graph, we can see that the point P(0,1) when traced corresponds to (90, 1) because sin 90 = 1.
C) From the given graph, we can see that the point P(-1,0) when traced corresponds to (180, 0) because sin 180 = 0.
D) From the given graph, we can see that the point P(0,-1) when traced corresponds to (270,-1) beacuse sin 270 = -1
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ANSWER ALL FIRST CORRECT ANSWER GETS BRAINLIEST, THANKS AND FIVE STAR!!
Answer:
1. -5
2. -10
3. 12
4. -6
5. 20
6. -7
7. -10
8. -19
9. 4
10. -5
11. -10
12. 8
13. 2
14. -8
15. -1
16. 9
17. -7
18. 2
19. 4
20. -17
21. 0
22. -10
23. 2
24. 1
25. 9
26. -6
27. -12
28. 4
29. -3
30. -68
Answer:
it was nt quite old enough to be a buck
Step-by-step explanation:
The perimeter of a rectangle is 128 cm. The length of the rectangle is three times longer than the width. What is the length and width of the rectangle?
Answer:
l=16 cm
w=48 cm
Step-by-step explanation:
perimeter of rectangle formula:
2l+2w
where
3w=l
and w=w
so
2(3w)+2w=128
6w+2w=128
8w=128
w=16
now substitute 16:
2l+2(16)=128
2l+32=128
2l=96
l=48
The length is 48 cm and width is 16 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
given:
perimeter of a rectangle is 128 cm.
let the width be x
length= 3x
So, perimeter of a rectangle is 128 cm.
2( l + w)= 128
x+ 3x= 64
4x= 64
x= 16
Hence, the length is 48 cm and width is 16 cm.
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You are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotations completed by the tire during the journey. The tire's diameter is 1 meter, and it made 8000 rotations during the trip.
How far did the bus travel?
Answer:
25,133 m or 25.1 km
Step-by-step explanation:
The circumference of the tire is ...
C = πd
C = π(1 m)
The distance the bus traveled is 8000 times this far, so is ...
distance = (8000)(π m) = 8000π m
Using 3.14159 for π, we find the distance to be about
distance = (8000)(3.14159) m ≈ 25,133 m
The bus traveled about 25,133 meters or 25.1 km.
Answer:
25,133 m or 25.1 km
Step-by-step explanation:
The circumference of the tire is ...
C = πd
C = π(1 m)
The distance the bus traveled is 8000 times this far, so is ...
distance = (8000)(π m) = 8000π m
Using 3.14159 for π, we find the distance to be about
distance = (8000)(3.14159) m ≈ 25,133 m
The bus traveled about 25,133 meters
Hope this helps ;)
A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B, C, and D), and then were asked to pick a favorite. The table shows the results of this taste test.
Based on the information given, which of the following statements is true?
a) 40% of the participants were boys.
b) 10/35 of the participants who preferred B are girls.
c) The ratio of boys who preferred C is equal to the ratio of girls who preferred C.
d) 20/35 of the boys preferred D.
Answer:
it is c hope it helps have a good day
Answer:
(C) The ratio of boys who preferred C is equal to the ratio of girls who preferred C
Step-by-step explanation:
A is incorrect because the ratio of girls to boys in the survey is 120/80 which is 60%
B is incorrect because the ratio of girls who prefrerred B to the ratio of boys is 10/25 not 10/35
D is incorrect because once again 20/15 does not equal 20/35
C is the correct answer and the only correct answer despite the multiple choice question because the ratio of boys that preferred c to girls is the exact same
Find the lateral surface area of the rectangular pyramid? PLEASE HELP!! Do you have to find the slant height first?
I will award brainliest answer!! Thanks!
Answer:
The lateral surface area of the rectangular pyramid is equal to sum of area of 4 lateral triangles.
Here, the base is square, then 4 lateral triangles have equal area.
=> Lateral surface area of this rectangular pyramid:
A = (area of lateral triangle) x 4
= (12 x 14 x 1/2) x 4 = 336 (ft2)
=> Option C is correct.
Hope this helps!
:)
The lateral surface area of the given rectangular pyramid is 336 ft²
What is lateral surface area?The lateral surface of an object is all the sides of the object, excluding its base and top.
The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.
Given that, a rectangular pyramid, we need to find the lateral surface area of the rectangular pyramid,
The lateral surface area of the rectangular pyramid is equal to the sum of area of 4 lateral triangles.
Here, the base is square, then 4 lateral triangles have equal area.
Therefore, the lateral surface area of this rectangular pyramid:
A = (area of lateral triangle) x 4
= (12 x 14 x 1/2) x 4
= 336 ft²
Hence, the lateral surface area of the given rectangular pyramid is 336 ft²
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In ΔPQR, the measure of ∠R=90°, QP = 29, RQ = 21, and PR = 20. What ratio represents the cosine of ∠P?
Answer:
cos(P) = 20/29
Step-by-step explanation:
Given the following information:
∠R=90°,QP = 29RQ = 21PR = 20To ratio represents the cosine of ∠P we use the cosine law (please have a look at the attached photo)
[tex]RQ^{2}[/tex] =[tex]QP^{2}[/tex]+ [tex]PR^{2}[/tex] − 2QP*PRcos(P)
<=> cos(P) = ([tex]QP^{2}[/tex]+ [tex]PR^{2}[/tex] - [tex]RQ^{2}[/tex]) / 2QP*PR
<=> cos(P) =( [tex]29^{2} + 20^{2} - 21^{2}[/tex]) /2*29*20
<=> cos(P) = 20/29
Hope it will find you well.
Answer:
53/28
Step-by-step explanation:
Alfonso graphs the inequality x greater-than negative 8 using the steps below.
Step 1: Draw a number line, and place an open circle at –8.
A number line going from negative 13 to negative 3. An open circle is at negative 8.
Step 2: Shade to the left of –8 to represent the infinite solutions to x greater-than negative 8.
A number line going from negative 13 to negative 3. An open circle is at negative 8. Everything to the left of the circle is shaded.
Step 3: Check work by substitution.
x = negative 9
Negative 9 greater-than negative 8 False
Which best describes the situation?
i know its kinda hard
A-The graph is incorrect. He should have used a closed circle at –8.
B-The graph is incorrect. He should have shaded to the right of –8.
C-The graph is correct. He should have checked his work with a number that was not on the shaded portion of the graph.
D-The graph is correct. He should have checked his work using –8.
Answer:
B-The graph is incorrect. He should have shaded to the right of –8.
Step-by-step explanation:
We examine the steps Alfonso follows in graphing the inequality x > -8.
Step 1: Draw a number line, and place an open circle at –8.
A number line going from negative 13 to negative 3. An open circle is at negative 8.
The first step is correct, since we use an open circle for > or < and a closed circle for [tex]\leq \:or\: \geq[/tex].
Step 2: Shade to the left of –8 to represent the infinite solutions to x greater-than negative 8.
This step is incorrect since values to the left are always less than.
He should have shaded to the right of -8.
The error made is Option B.
CHECK:
x=-7
-7>-8 (TRUE)
Answer:
I got the answer B too.
Step-by-step explanation:
All you have to do is re read your question
HOPE THIS HELPS:)
STAY SAFE
Plz help meI will mark u brainliest 2.. Write an expression that represents the amount of money they collected each night. The total earned for both nights is 1,651: a. The first night, the school sold 60 adult tickets and 94 student tickets. b. The second night, the school sold 83 adult tickets and 127 student tickets.
Answer:
143a + 221b = 1,651
Step-by-step explanation
143a + 221b = 1,651
1.Add the "a"s and "b"s together seperatly.
2.Then put them together in a equation.
3.The a you added together is 143a.The b you added together is 221b.
Radians and arc length
Answer:
arc length "s" = radius * central angle in radians
radius = arc length "s" / central angle
radius = "s" / 1.2
arc length "s" = r * 1.2
Step-by-step explanation:
Mr. Smith opened an account with a deposit of $750. The bank pays 6% interest compounded annually on this account. Mr. Smith makes no additional deposits or withdrawals. How much interest will the account have earned at the end of 4 years? *
The final balance is $897.51
Step-by-step explanation:
A pole that is 3.1 m tall casts a shadow that is 1.71 m long. At the same time, a nearby tower casts a shadow that is 46.5 m long. How Tall is the tower?
roundyour answer to the nearest meter.
Answer:
84 meters.
Step-by-step explanation:
Set each tower equal to each other and you get (3.1/1.71)=(x/46.5)
Solve for X
X≈84.2982
But we want the nearest meter, so it's just 84 meters.
Answer:
84 meters
Step-by-step explanation:
The proportional value, or ratio is as the following:
[tex]\frac{3.1}{1.71} = \frac{x}{46.5}[/tex]
Now we can cross multiply in order to solve the equation...
[tex]1.71x=3.1*46.5\\1.71x = 144 \frac{3}{20}\\ x=84.3[/tex]
Rounded to the nearest meter, x is 84 meters.
The soccer balls at the sporting goods store are on sale for 20% off the regular price. What is the sale price if the regualr price is $28?
The mass of the cylinder is 50,000 g. Find the density of the cylinder to the nearest tenth
answer choices
0.7 g/mm3
81.2 g/mm3
2.7 g/mm3
0.4 g/mm3
Answer:
Density of the Cylinder = 2.7 g/mm³
Step-by-step explanation:
Density of a cylinder is calculated using the formula =
Mass of the Cylinder ÷ Volume of the Cylinder
Step 1
The First step is to find the Volume of the Cylinder.
Volume of a Cylinder = πr²h
In the attached image , we are given:
Diameter of the Cylinder = 28mm
Radius of the Cylinder = Diameter ÷ 2 = 28mm ÷ 2
Radius of the Cylinder (r) = 14mm
Height of the Cylinder (h) = 30mm
The Volume of the Cylinder = πr²h
= π × (14mm)² × 30mm
= 18472.564803 mm³
Step 2
The second step would be to find the Density of the Cylinder.
Density of the Cylinder = Mass of the Cylinder ÷ Volume of the Cylinder
Mass of the Cylinder = 50,000g
Volume of the Cylinder = 18472.564803 mm³
Density of the Cylinder = 50,000g ÷ 18472.564803 mm³
= 2.7067167193 g /mm³
Approximately the Density of the Cylinder = 2.7 g/mm³
Apply the distributive property to factor out the greatest common factor.
32+44=
Answer:
4(8 + 11).
Step-by-step explanation:
32 - 44
The greatest common factor is 4 so we have
4(8 + 11).
Can someone please tell me which number belongs to each of the variables
Like is P=17 or 8 I’m confused
Answer:
The answer is PQ = 17 units, PR = 8 units, QR = 15 units .
Sin P = 15/17
Cos P = 8/17
Tan P = 15/8
Sin Q = 8/17
Cos Q = 15/17
Tan Q = 8/15
Answer:
PQ= 17
PR= 8
RQ= 15
Step-by-step explanation:
Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7.50. Yesterday Jason made a total of $790 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
let t be the number of tacos sold
let b be the number of burritos sold
Step-by-step explanation:
b=2t
4.75t+7.50b=790
To solve the problem, set up two variables T and B for the number of tacos and burritos sold. Two equations are formed: B = 2T (since twice as many burritos as tacos were sold) and 4.75T + 7.50B = 790 (from the total revenue). Solve these to find T and B.
Explanation:To determine the number of tacos and burritos sold by Jason's food truck, we need to establish two variables: let T represent the number of tacos sold, and let B represent the number of burritos sold. Given that burritos are sold at a ratio of two to every one taco, we can express this relationship with the equation B = 2T. Next, using the given prices of tacos ($4.75) and burritos ($7.50), along with the total revenue of $790, we can write the budget constraint equation as 4.75T + 7.50B = 790. These two equations together form the system of equations that can be solved to find the number of tacos (T) and burritos (B) sold.
Which property can you use to show that 3x +{2x+4} is equivalent to {3x + 2x} + 4
Answer:
3x+2x=5x but 4 can't add to 3x and 2x
Answer:
6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5)
Step-by-step explanation:
Find the circumference of the circle that has a radius measurement of 11 1/4
Answer:
22.5π units² or about 70.65 units²
Step-by-step explanation:
11 [tex]\frac{1}{4}[/tex] is equivalent to 11.25
The formula for the circumference of a circle is 2πr. Using that formula we get:
2*π*11.25 = 22.5π ≈ 70.65
Answer:
70.69 or 22.5 pi
Step-by-step explanation:
To find the circumference of a circle, you can use the formula:
2 x pi x radius
Using this formula, we can substitute the information that we already know, and solve for the circumference:
2 x pi x 45/4
6.28 x 45/4
70.69 or 22.5 pi