Answer:
a = 3
Step-by-step explanation:
6(a+3)=2a+30
Distribute
6a + 18 = 2a+30
Subtract 2a from each side
6a + 18 -2a= 2a+30-2a
4a +18 =30
Subtract 18 from each side
4a+18-18 = 30-18
4a = 12
Divide each side by 4
4a/4 = 12/4
a = 3
Two cylinders have the same size base, but one is twice as tall. Explain why the taller cylinder does not have double the surface area
Answer:
Because surface area has nothing to do with how tall it is
Step-by-step explanation:
Surface area involves the base shape of the object, if both cylinders have a base of the same size and shape, then the surface area of the face of that object will remain the same. how tall the cylinder is would affect volume however.
Please mark brainliest :)
Answer:
Sample response: The surface area of a cylinder is the sum of the areas of the two bases and the area of the lateral surface. If the height of the cylinder is doubled, the area of the lateral surface is doubled, but the areas of the bases remain the same.Step-by-step explanation:
What is the area of a circle with a radius of 20 inches ?
The area of a circle with a radius of 20 inches is 400π square inches, which is approximately 1256.64 square inches.
Explanation:The formula for finding the area of a circle is A = πr², where A is the area and r is the radius of the circle.
Given that the radius of the circle is 20 inches, we can substitute this value into the formula to find the area.
So, the area of the circle with a radius of 20 inches is A = π(20 inches)² = 400π square inches, which is approximately 1256.64 square inches.
What is the best estimate of the lateral area of a cube with edges that are 2.1 inches long?
The best estimate of the lateral area of a cube with 2.1-inch edges is 17.64 square inches, calculated by squaring the edge length to find the area of one side (4.41 square inches) and then multiplying by four since there are four lateral faces.
The question asks for the best estimate of the lateral area of a cube with edges that are 2.1 inches long.
To calculate the lateral area of a cube, we need the formula for the lateral area, which is the sum of the areas of all the sides excluding the top and bottom faces. Since a cube has six faces, we have four lateral faces to consider.
The area of one face of a cube is obtained by squaring the length of one edge. In this case:
Area of one side = edge length × edge length = 2.1 inches × 2.1 inches = 4.41 square inches
Since there are four sides whose areas we need to count for the lateral area, we multiply the area of one side by four:
Lateral area = 4 × Area of one side = 4 × 4.41 square inches = 17.64 square inches
Therefore, the best estimate of the lateral area of the cube is 17.64 square inches.
Final answer:
The best estimate of the lateral area of a cube with 2.1-inch edges is approximately 17.64 square inches, calculated by squaring the edge length and multiplying by four since a cube has four lateral faces.
Explanation:
The goal is to estimate the lateral area of a cube with edges that are 2.1 inches long. The lateral area of a cube is the sum of the areas of all the sides of the cube, excluding the top and bottom faces. Since the cube has six faces and we only need the sides, we calculate for four faces.
Each face of a cube is a square, so to find the area of one face, we square the length of the edge:
Area of one side = Edge length × Edge length
Area of one side = 2.1 inches × 2.1 inches
Area of one side = 4.41 square inches
Since there are four sides whose area we are considering for the lateral area:
Lateral area = 4 × Area of one side
Lateral area = 4 × 4.41 square inches
Lateral area = 17.64 square inches
So, the best estimate of the lateral area of the cube is approximately 17.64 square inches.
QUESTION 24 • 5 POINTS
Audrey can hike 6 miles on a trail in the same time that she can ride her bike 25 miles on a road. Her hiking speed is 9 miles
per hour slower than her riding speed. Find her riding speed. Round to the nearest tenth.
Answer:
Her riding speed is "11.84 mph".
Step-by-step explanation:
In order to solve this problem we will say that Audrey's riding speed is equal to "x" mph. Since her hiking speed is 9 mph less than her riding speed, then it is "x -9" mph. The average speed formula is given by:
speed = distance/time
Thefore the time to travel a certain distance with a certain speed is:
time = distance/speed
Her time to hike 6 miles is the same as her time to ride 25 miles, therefore:
ride time = hike time
25/x = 6/(x - 9)
25(x-9) = 6x
25x -225 = 6x
19x = 225
x = 225/19 = 11.84 mph
Her riding speed is "11.84 mph".
Tina brought four more than one-half of the number of t-shirts as Maria. If Tina brought
eleven shirts, how many did Maria bring?
1 shirt
2 shirts
9 shirts
14 shirts
Answer:
14 shirts
Step-by-step explanation:
11-4= 7
7 times 2 = 14
Answer:
14 shirts
Step-by-step explanation:
Four less of eleven is 7. 7 is one half of the number of shirts Maria brought, then you do 7+7=14. Hope this helps!
what is the maximum height for -16t^2+96t+63
Answer:
h(3) = 207 feet
Step-by-step explanation:
what is the maximum height for -16t^2+96t+63
h(t) = -16t^2+96t+63
We see max height at the vertex of this parabolic function
x = -96/2*(-16) = 3 seconds
h(3) = -16*3*3 + 96*3 + 63
h(3) = -144 + 288 + 63
h(3) = 207 feet
Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your work.
Answer:
x = 5.6 i guess
Step-by-step explanation:
use cos 45 = x/8
maybe
When preparing for Geometry class, Matt labeled a right triangle. Matt’s teacher told him that he made some mistakes. What is one mistake that matt made ?
Answer:
Vertices (or angles) are labeled with Capital letters
Step-by-step explanation:
Angles are labeled with Capital letters.
The sides themselves can be labeled with lowercase letters, but the vertices of the triangles must be labeled with Capital letters
Two number cubes are rolled to determine how a token moves on a game board. The sides of
each number cube are numbered 1, 2, 3, 4, 5 and 6.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 4 spaces. Otherwise, move backward 8.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 9.
Use mathematical expectation to determine which option offers the greater likelihood of moving
closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is . The mathematical expectation of Option B is 1. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 1.5.The mathematical expectation of Option B is 1. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.
Answer:
D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.
Step-by-step explanation:
The result of a product is odd only when the two numbers are odds.
There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.
P(even) = 27/36 = 0.75
Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1
Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5
Find the probability of getting tails on every toss of a coin when the coin is tossed 5 times.
Answer:
1/10, or 10%
Step-by-step explanation:
There are 2 outcomes you can get from one toss, heads and tails. Therefore, if you tossed it once, the probability of landing tails would be 1/2, or 50%. Since you toss it 5 times, you will multiply the probability of one toss by five. 1/2x5 = 1/10, so your probability of landing tails on every toss when thrown 5 times is 1/10, or 10% :)
1.Write the expression for when you translate the graph of y = x + 7 one unit to the left
2. Write the expression for when you translate the graph of y = 3x− 5 one unit to the right.
To translate y = x + 7 one unit to the left, the expression becomes y = x + 8. To move y = 3x - 5 one unit to the right, it becomes y = 3x - 8. The translation shifts the graph parallel to the x-axis while maintaining its shape.
To translate the graph of the function y = x + 7 one unit to the left, we substitute x with (x + 1) because adding to the independent variable moves the graph to the left.
Therefore, the translated expression would be y = (x + 1) + 7 which simplifies to y = x + 8.
Similarly, to translate the graph of the function y = 3x - 5 one unit to the right, we substitute x with (x - 1) because subtracting from the independent variable moves the graph to the right.
The translated expression is y = 3(x - 1) - 5, which simplifies to y = 3x - 3 - 5 or y = 3x - 8.
The process of translating graphs involves shifting each point parallel to the x-axis, either to the left or right, by the desired number of units without altering the shape of the graph.
PLZZ HELP!
Find the volume of a right rectangular prism with a length of 3, a width of 5, and a height of 6.
A. 14 cubic units
B. 21 cubic units
C. 90 cubic units
D. 196 cubic units
Answer:
C
Step-by-step explanation:
The formula for the volume of a rectangular prism is lwh. In this case, 3*5*6=90 cubic units, or option C. Hope this helps!
BRAINLIEST ASAP Martha places a triangle at (5, 2) on a coordinate plane. If she wants to place a square 7 points away, what might be the coordinates of the square?
Answer:
the coordinates would be (12,2) Hope it helps :)
Step-by-step explanation:
its just that
a 20 in tall hexagonal pyramid has a regular hexagon base that can be divide into six equilateral triangles with side lengths of 12 in, as shown below find the area of the hexagon base rounded to the nearest hundredth
Answer:
c
Step-by-step explanation:
The area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.
What is a hexagonal pyramid?
A pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point. All sides are equal, the angles between the sides are 120 degrees.
For the given situation,
The base of the hexagon, a = 12 in
The formula of the area of hexagon base is
[tex]A=\frac{3\sqrt{3}(a)^{2} }{2}[/tex]
On substituting the above values,
⇒ [tex]A=\frac{3\sqrt{3}(12)^{2} }{2}[/tex]
⇒ [tex]A=\frac{3\sqrt{3}(144 )}{2}[/tex]
⇒ [tex]A=374.12[/tex]
Hence we can conclude that the area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.
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Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
A) 130 yd2
B) 150 yd2
C) 170 yd2
D) 190 yd2
Chase's birthday party costs $8 for every guest he invites. How many guests can there be
at most of Chase can afford to spend a total of $32 on his birthday party?
Answer:
4 guests
Step-by-step explanation:
If it's $8 every person, 4 x $8 is $32, so he can have 4 guests.
Answer:
4 guests
Step-by-step explanation:
If each guest costs $8, but you can only spend $32, then you need to figure out the number that is multiplied by 8 to get 32. And that number is 4.
4 guests times $8 each=$32
What is the equation of the line that passes through (0, 3) and (7,0)?
A.y =3/7x-3
B.y=3/7x+3
C.y=-3/7x+3
D.y=-3/7x-3
Answer:
y = -3/7x + 3
Step-by-step explanation:
Use the slope formula to find the slope which is -3/7
Then use one of the pairs of points and plug in the x and y values along with the slope to find b
Leon runs 1 .6miles 5 day a week how many miles does he run in total in one week
Amanda delivers 56 meals in 4 hours. At this rate, how many meals can she deliver is 7 hours?
Answer:
98
Step-by-step explanation:
On average she delivers about 14 meals per hour
If you divide 56 by 4 you get 14 ^
Then if you multiply 14 by 7 you get 98
Write the equation of a line that is parallel to y=-7 and that passes through the point 7,5)
Answer:
y = 5
Step-by-step explanation:
Let y = mx + b (1) is the equation of a line we need to find
As we know, it is parallel to y= -7 (with the slope is 0)
However, the slopes of parallel lines are equal
=> the slope of (1) is 0
<=> y = b
And that passes through the point (7,5), we have:
5 = b
=> the equation of a line as the answer of this problem is:
y = 5
Hope it will find you well.
A kite is divided into two triangles. Each triangle has a base of 16 in. and a height of 10 in.
What is the area of the kite?
Thank you in advance, and stay safe!
Answer:
160
Step-by-step explanation:
If thats not the answer then its 320
How does sound intensity differ from loudness?
A.Loudness is measured in hertz, and intensity is measured in decibels.
B. Intensity is measured in hertz, and loudness is measured in decibels.
C.Loudness is a universal measurement, and intensity varies from person to person.
D. Intensity is a universal measurement, and loudness varies from person to person.
The answer is letter B.
Answer:
The answer is D
Step-by-step explanation:
gradpoint
When 240 sixth grade students were polled results showed that 96 students were dissatisfied with the music played at the school dance what percentage of sixth grade students does this represent
(use at least 2 strategies)
(Ratios and Proportional Relationships Percents)
Answer: 40%
Step-by-step explanation:
Total students= 240
Dissatisfied students= 96
To get the percentage of sixth grade students that were dissatisfied with the music played in the school, we divide 96 by 240 and multiply the result by 100. This can be written as:
= 96/240 × 100
= 0.4 × 100
= 40%
The percentage represented is 40%
Brandon throws a ball across a field. The ball's height, in feet, is modeled by the
function f(t) = -1/2+2 + 2t + 6, where t represents time in seconds. How long does it
take the ball to hit the ground?
C A) 8 seconds
C B) 6 seconds
C C) 2 seconds
D) 4 seconds
C) 2 seconds
Pennfoster/ James Madison
The ball will take 6 seconds to hit the ground.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
f(t) = -1/2t² + 2t + 6
Now, if ball hit the ground then f(t)=0
0 = -1/2t² + 2t + 6
-t² + 4t + 12=0
t² - 4t -12 = 0
t² - 6t + 2t -12 = 0
t(t- 6) + 2( t- 6)= 0
(t- 6) (t+ 2)=0
t= 6, -2.
Hence, the ball will take 6 seconds.
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Need help ASAP! 35 points
Answer:
[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Since [tex]\sqrt[3]{x^5} = x^\frac{5}{3}[/tex], the solution is [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Step 1: Find the equivalent expression
[tex]\sqrt[3]{x^5y}[/tex]
[tex]\sqrt[3]{x^5} * \sqrt[3]{y}[/tex]
[tex]x^\frac{5}{3}*y^\frac{1}{3}[/tex]
[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Answer: Option B
Rewrite the function by completing the square.
f(x)=x^2+8x−29
f(x)=(x+__)^2+__
Answer:
(x + 4)² - 45
Step-by-step explanation:
Given
x² + 8x - 29
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 - 29
= (x + 4)² - 45
The resulting function by completing the square is f(x) = (x+ 4)² - 45
Given the function
f(x) = x² + 8x - 29
The function can also be grouped like this:
f(x) = (x² + 8x) - 29
Completing the square of the function in parenthesis
f(x) = (x² + 8x) - 29
To do that, we will add the square of the half of the coefficient of x:
Coefficient of x = 8
half of Coefficient of x = 8/2 = 4
Squaring the result = 4² = 16
The function will then become:
f(x) = (x² + 8x + 16 - 16) - 29
f(x) = (x² + 8x + 16) - 16 - 29
f(x) = (x² + 8x + 16) - 45
Factorizing the function in bracket:
f(x) = (x+ 4)² - 45
Hence the resulting function by completing the square is f(x) = (x+ 4)² - 45
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Jessica can build a bookshelf in 4 hours. Sydney can build a bookshelf in 6 hr. How long will it take them if they build the bookshelf together?
Answer:
About 2.4 Hours
Step-by-step explanation:
1/4+1/6=1/h
12h(1/4+1/6)=12h(1/h)
3h+2h=12
5h=12
12/5=2.4
When working together, Jessica and Sydney can construct a bookshelf in 2.4 hours. This is based on their individual rates of work.
Explanation:This problem involves the concept of rates of work. We need to find out how long it will take for Jessica and Sydney to build a bookshelf together. Jessica builds one bookshelf in 4 hours, so her work rate is 1/4 bookshelves per hour. Sydney builds one bookshelf in 6 hours, hence her work rate is 1/6 bookshelves per hour.
When Jessica and Sydney work together, their work rates add together. So the combined work rate is 1/4 + 1/6 = 5/12 bookshelves per hour. Since they are building just one bookshelf, we can find the time it takes by dividing the number of bookshelves (1) by the work rate (5/12). Therefore, when working together, Jessica and Sydney can build a bookshelf in 12/5 or 2.4 hours.
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Alex wrote nine different positive digits on one red card and eight blue cards, only one digit per card. The product of all the digits on the blue cards is 72576.
What digit is written on the red card?
Answer: 5 is written on the red card.
Step-by-step explanation:
Given that the product of all the digits on the blue cards is 72576.
That is:
4! × 9 × 8 × 7 × 6
= 24 × 3024
= 72576
And the nine different positive digits will be 1 2 3 4 5 6 7 8 9
4! = 4 × 3 × 2 × 1
So, 5 is missing from the product of above number that gave 72576.
Therefore, 5 is the digit is written on the red card
Mrs. Brennan and Mrs. Prato went out for lunch. The cost of Mrs. Brennan’s lunch was $12.95 and the cost of Mrs. Prato’s lunch was $13.71. What is the total cost for both lunches?
Answer:
$26.66
Step-by-step explanation:
12.95+13.71 =26.66
Plzz. Brainliest
write the three expressions that are equivalent ro 70/ -5.
Answer:
-50-4, -27×2, 54×-1
Step-by-step explanation: