Answer:
x = 4
Step-by-step explanation:
Given
[tex]\frac{7+2x}{3}[/tex] = 5 ( multiply both sides by 3 to clear the fraction )
7 + 2x = 15 ( subtract 7 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
What is the volume, in cubic in, of a rectangular prism with a height of 3in, a width of 10in, and a length of 2in
On solving the provided question, we can say that w = 10 in; l = 2 in; volume of prism = WL = 10 X 2 = 20 in sq
what is prism?The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.
here,
w = 10 in
l = 2 in
volume of prism = WL = 10 X 2 = 20 in sq
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Find the volume and round to the nearest hundredths place when necessary.
Answer:
We find the are of the square (base) below:
20 x 20 = 400
now we multiply it by the height:
400 x 10.5 = 4200
Now we divide by the 3:
4200 divided by 3 = 1400 in3 is your answer
the product of 12 and the number n
Answer:
12n is the answer because 12 is and n if we multiply both of them it will be 12n.
Answer & Step-by-step explanation:
1. 3n= 12 divided 3 on both sides
n= 4
2. 6n=12 divide 6 on both sides
n= 2
3. 12n=12 divide 12 on both sides
n= 1
4. 5n = 12 divided 5 on both sides
n = 1.4
5. 8n=12 divide 8 on both sides
n= 1.5
The sides of a triangle 17, 3 and 15. Determine the triangle is a right triangle
Answer: No.
Step-by-step explanation: This is not a right triangle because if you add up all the sides, it does not equal 90 degrees.
Elizabeth has a box that can hold exactly 24 unit cubes. It could also be said that her box has
A. An area of 12 cubic units, and its sides could measure 12 units and 2 units
B. An area of 24 cubic units, and its sides could measure 2 units, 3 units, and 4 units
O C. A volume of 12 cubic units, and its sides could measure 12 units and 2 units
D. A volume of 24 cubic units, and its sides could measure 2 units, 3 units, and 4 unit
Elizabeth has a box that can hold exactly 24 unit cubes. It could also be said that her box has 24 cubic units. So, option D. is correct.
What are cubic units?A cubic unit is a unit of measurement for volume. It represents the amount of space an object occupies in three dimensions: Length, Width and Height. It is often used to measure the volume of three-dimensional shapes such as cubes, square prisms, cylinders, and spheres. Cubic units are most commonly measured in cubic meters or cubic feet, but they can also be expressed in smaller units such as cubic centimeters or cubic inches.
The total volume of the box is 24 cubic units. A side of the box may measure 2 units x 3 units x 4 units = 24 cubic units.
Choice A is incorrect. This is because the area of a shape is a measure of the two-dimensional space it occupies, and the volume of a shape is a measure of the three-dimensional space it occupies.
Choice B is incorrect. This is because the area of a shape is a measurement of the two-dimensional space it occupies, not its volume.
Option C is incorrect because it states that the box has a volume of 12 cubic units, but it is not because the volume he has is 24 cubic units.
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What is the first side?
Explanation:
The ASA indicates that the side (S) is between the two angles (A). The order is important. For the bottom triangle, the side between the red angles is segment ST. The upper triangle has the segment UX between the red angles. If we know that ST = UX, then we can use the ASA rule to prove the triangles are congruent.
Side note: ST = UX is the same as UX = ST. Furthermore, ST is the same as TS, and UX is the same as XU. So there are a few ways to fill in that blank.
Find the first step for solving the system by substitution.... X = 4y - 1
and 9x - 5y = -22
PLEASE please help i’ll give brainliest
Answer:
D
Step-by-step explanation:
Earth's crust, called the lithosphere, consists of 15 to 20 moving tectonic plates.
5x + y = 27
- 10x + 7y = -36 what is the x-coordinate
Answer:
For 5x + y = 27; [tex]x=\frac{-1}{5}y+\frac{27}{5}[/tex]
For -10x + 7y = -36; [tex]x=\frac{7}{10}y+\frac{18}{5}[/tex]
Step-by-step explanation:
None because it will be in the screenshots.
Mark me brainliest if you can when someone else answers, if not then it's alright. Have a good day! :D
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The x-coordinate of the solution can be found by subtracting the second equation from 7 times the first.
7(5x +7) -(-10x +7y) = 7(27) -(-36)
45x = 225 . . . . . simplify
x = 5 . . . . . . . . . . divide by 45
The x-coordinate of the solution is 5.
_____
The y-coordinate is 2.
In circle D with \text{m} \angle CDE= 126^{\circ}m∠CDE=126
∘
, find the angle measure of minor arc \stackrel{\Large \frown}{CE}.
CE
⌢
Given:
In circle D with m∠CDE=126°.
To find:
The angle measure of minor arc CE.
Solution:
We know that the angle measure of minor arc is equal to the central angle of that arc.
Since D is the center of the circle, therefore the angle CDE is the central angle of arc CE.
[tex]m(\stackrel{\Large \frown}{CE})=m\angle CDE[/tex]
[tex]m(\stackrel{\Large \frown}{CE})=126^\circ[/tex]
Therefore, the angle measure of minor arc CE is 126 degrees.
Felix hasa bucket of golf bals, The table shows the number of golf balls of each color in the bucket. Golf Balls in a Bucket Color Pnk White Orange Green Number 11 8 18 (A)e Felix selects a golf ball at random. Based on the Information in the table, which statement is true? A The golf ball is more likely to be green than all other colors combined. B The golf ball is equally likely to be pink, white, orange, or green. C The golf ball is 2 times as likely to be orange as it is to be pink. D The golf ball is 7 times as likely to be green as it is to be white.
The correct statement regarding the probabilities from the table is given as follows:
C The golf ball is 2 times as likely to be orange as it is to be pink.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of balls for this problem is given as follows:
4 + 11 + 8 + 18 = 41.
Hence the probability of selecting each ball is obtained as follows:
Pink: 4/41.White: 11/41.Orange: 8/41.Green: 18/41.Hence statement C is correct, as:
2 x 4/41 = 8/41.
(which is the probability of orange, obtained multiplying the probability of pink by two).
Missing InformationThe number of pink balls is of 4.
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Can someone please help me? :(
Step-by-step explanation:
send the pic clearly i will help surely im sorry
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem?
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U
StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
The required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
The figure of the triangle is not given the quesiton, An figure is attached after the solution regarding the solution,
From diagram,
Consider the triangle RST and triangle VUT
ST/UT = 2
∠S = ∠U both are of 90°
RS/VU = 2.
So, triangles are similar by the SAS similarity theorem.
Thus, the required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.
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25 students in a class took an algebra test 20 students passed the test what percent passed help
Answer:
80% of the students passed the algebra test
Step-by-step explanation:
So for this question, they want to know the percentage of the people that passed.
20 out of 25 students passed, we could find the percentage using two ways:
-------
1. We can use proportions to figure out the percentage (This can only work if the numbers are factorable by 100 such as 10, 25, 50...)
25 × 4 would equal 100. You must multiply the same number to the top as well.
So 20 × 4 = 80
--------
2. We can divide the two numbers
20 ÷ 25 = 0.8
When changed into a percentage, 0.8 would be 80%
-------
Have a good day :)
Show that the vector field defined by the vector function v=xyz(yzi^xzj^xyk^) i conervative
The process to show the vector field V(x,y,z) as conservative is show below and the scalar potential f is [tex]f(x,y,z) =xyz^{2} + e^{\pi }[/tex] .
A Vector field can be called as conservative if we are able to find the potential function "f" , whose gradient is field .
The Gradient is vector that is made from partial derivatives of potential function .
The Vector function is given as , V(x,y,z) = [tex](yz^{2} )i + (xz^{2} )j + (2xyz)k[/tex] ,
So , we can write the partial derivatives function of potential function as :
[tex]\frac{\partial f}{\partial x} = yz^{2}[/tex] ; [tex]\frac{\partial f}{\partial y} = xz^{2}[/tex] ; [tex]\frac{\partial f}{\partial z} = 2xyz[/tex],
On Antidifferentiating any of the above three partial derivatives ,
we get ; [tex]f=xyz^{2} + C[/tex] , here the constant C can take any value ,
so , we take C as [tex]e^{\pi }[/tex] .
Therefore , the potential Function is [tex]f(x,y,z) =xyz^{2} + e^{\pi }[/tex] .
The given question is incomplete , the complete question is
Show that the vector field defined by the vector function V(x,y,z) = (yz²)i + (xz²)j + (2xyz)k is conservative by finding a scalar potential f .
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Someone please answer... In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 7.3%. From 2015 to 2020, it fell by 5.3%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
Marisol writes the equation 1. 6 : n=0. 16. Right your answer using an exponent. Explain how you know your answer is correct.
The equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
What is an exponent?
An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.
To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1
And then we can raise the base 10 to the power of n: [tex]10^n = 10^{0.1} = 2.511[/tex]
Hence, the equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
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The equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
What is an exponent?
An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.
To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1
And then we can raise the base 10 to the power of n: [tex]10^n=10^{0.1}=2.511[/tex]
Hence, the equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
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solve the inequality and explain how
thank you :)
Answer:
the answer is A
[tex]x + 7 > 3[/tex]
A frozen yogurt shop charges $4. 00 for a bowl of yogurt and $0. 25 for each topping.
If the total charge for yogurt is dependent on the base price of the bowl of yogurt plus the number of toppings added, what is the value of y at the y-intercept of the line representing this situation?
A $4. 25
B $0. 25
C $4. 00
D $3. 75
If the total charge for yogurt is dependent on the base price of the bowl of yogurt plus the number of toppings added, the value of y at the y-intercept of the line representing this situation is C $4.00
The y-intercept of a line is the point where the line crosses the y-axis. In this case, the y-intercept is the cost of the bowl of yogurt without any toppings. The base price of the bowl of yogurt is $4.00, so the y-intercept of the line representing this situation would have a value of $4.00.
This means that the cost of a bowl of yogurt without any toppings is $4.00. The cost of the bowl of yogurt with toppings is determined by adding the cost of the bowl of yogurt plus the cost of the toppings. Therefore, the y-intercept of the line representing this situation would have a value of $4.00.
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In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely.Draw your sample space and then find the probability of getting a 2 or a B.a.The sample space is 9. The probability of getting a B is StartFraction 1 Over 9 EndFraction.b.The sample space is 18. The probability of getting a 2 or a B is StartFraction 18 Over 8 EndFraction
The required probability as calculated from the data given above is found to be as 1 / 9.
Given,
The spinner is having the letters as A, B and C.
The possibility of getting any of these letters when the spinner is rolled is same.
Therefore , the sample space will be as follows ,
6 + 3 = 9
This is due to the fact a die has 6 sides.
Then the probability of getting a B will be , 1/9
Sample space is known as the collection of all values which are used in an experiments. The total number of favorable outcomes are taken from this sample space only.
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need help with this NO BOTS OR LINKS
Answer:
946
Step-by-step explanation:
To find the area, you can split the figure into 2 rectangles. The one on the left has a width of 7 and a height of 28. Multiply 28 * 7 to get the area of the first rectangle, which is 196 in.
The second rectangle has a width of 25 and a length of 30. Multiply 30 by 25 to get the area, which is 750 in.
To find the area of the entire figure, add the areas of both rectangles.
196 + 750 = 946 square inches.
There are 6 students at a club meeting. If they make up 40% of the club, how many total students are in the club?
please answer with mostly numbers and please explain well.
Using basic concept of proportion value and percentage from the total, The answer is there are 15 students in the club.
What do you mean by percentage?A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%". For example, 50% means 50/100 or 0.50. It is commonly used to express rates and proportions. Percentages can be used to express a variety of information, such as discounts, increases, and proportions. For example, if a product is on sale for 20% off, that means the price has been reduced by 20/100 or 0.20 times the original price. If a company's profits have increased by 10%, that means they have gone up by 10/100 or 0.10 times the original amount.
What do you mean by proportion?A proportion is a mathematical relationship between two values that indicates that they are in a specific ratio to each other. Proportions can be expressed in a variety of ways, but one common way is to use the symbol ":" to separate the two values. In statistics, it is common to use proportions to express the relationship between different groups or categories in a population. In physics, proportions can be used to calculate different quantities in systems.
total = x
40% of x =6
40/100 * x =6
x=6*100/40
=15
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please help im so confused!!
Answer:
I can't see the 5 the question properly but I'm sure 12) is 4 and 14) 70
Step-by-step explanation: 12) is( 4+4)÷2=4 and 14) 3+5+7=15 so, 5÷15=0.333333... then multiply it by210 you get 70
+ also on 15) just divide 5 by 2=2.5 and then divide 22 by 2.5 you get 8.8
What is the area of this triangle?
Answer:it’s 21 square units
Step-by-step explanation:do base x height then divide by 2 to get 21
Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.
Consequently, the solution of the given problem of perimeter comes out to be 24.5 inches will be adequate to build the bird house, which needs 24 inches.
Define perimeter.The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.
Here,
As stated, Hodi is making a birdhouse.
Four walls make up a birdhouse.
There must be 5.5 inches on each wall.
Board = 24.5 inches for Hodi.
Using comparable numbers, we must now estimate.
6 in. is a suitable size for 5.5 in.
The entire amount of wood needed to construct the bird home will be determined first.
The amount of board needed is equal to the number of walls in the house times the length of each wall.
Required total board: 4 x 6 = 24 inches for a wall count multiplied by the length of each wall.
It takes 24 inches of board in total.
His board is 24.5 inches long.
Consequently, the solution of the given problem of perimeter comes out to be 24.5 inches will be adequate to build the bird house, which needs 24 inches.
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Given the triangle, find the perimeter.
7x-4
3x² + 7x -1
5x²
Answer:
[tex]\text{Perimeter}=8x^2+14x-5[/tex]
Step-by-step explanation:
[tex]\text{Perimeter}=(7x-4)+(3x^2+7x-1)+(5x^2)\\\text{Perimeter}=7x-4+3x^2+7x-1+5x^2\\\text{Perimeter}=5x^2+3x^2+7x+7x-4-1\\\text{Perimeter}=8x^2+14x-5[/tex]
Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 miles an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination.
How far from their destination will they be 3. 7 hours since entering the freeway?
How far from their destination were they 2. 3 hours since entering the freeway?
Please help quick
Distance between them and their destination after 3.7 hours since entering the freeway is 608 miles and the distance between them and their destination after 2.3 hours since entering the freeway is 692 miles.
We know that the relationship between speed, distance, and time is given as,
Speed = distance/time
Speed = 60 miles an hour
Time = 3 hours
We know that Don and Ana are travelling at a constant speed and they are travelling for 3 hours.
Distance = speed × time
Distance = 60 × 3
Distance = 180 miles
Thus, the distance travelled by them in 3 hours is 180 miles.
We know that Don and Ana are travelling on the freeway for the past 3 hours and they are still 650 miles away, therefore,
Total Distance from their destination
= Distance travelled by them in 3 hours + 650 miles
= 180 miles + 650 miles
= 830 miles
Thus, the distance travelled by then is 830 miles.
Now, the distance between them and their destination after 3.7 hours since entering the freeway,
Distance travelled by them = speed x 3.7 = 60 x 3.7 = 222 miles
Distance between them and the destination
= Total Distance from their destination - Distance travelled by them
= 830 miles - 222 miles
= 608 miles
Therefore, they are 608 miles far from their destination.
And, Distance between them and their destination after 2.3 hours since entering the freeway,
Distance travelled by them = speed x 2.3 = 60 x 2.3 = 138 miles
Distance between them and the destination
= Total Distance from their destination - Distance travelled by them
= 830 miles - 138 miles
= 692 miles
Therefore, they are 692 miles far from their destination.
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Help with question 2 and 3 please
Answer:
a for the first and d for the second
Step-by-step explanation:
just did this
What is .0252525252525252525... as a simplified fraction? Will give Brainliest.
Answer:
5/198Hope that helps! :)
-Aphrodite
Step-by-step explanation:
What is the surface area
of the square pyramid?
9 in
6 in
Answer:The Surface Area of Pyramid is 105 cm².
Step-by-step explanation:
What is Surface Area of Pyramid?
If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.
Given:
slant height, l= 8 cm
So, the base Perimeter = 4 x 5
= 20 cm
Now, area of the base = 5 cm x 5 cm
= 25 cm²
Then, surface area of a square pyramid
= 1/2 x slant height x base perimeter + area of base
= 1/2 x 8 x 20 + 25
= 80 + 25
= 105 cm²