Answer:
1714 studentsStep-by-step explanation:
If 1 out of 7 students are liberal arts majors based on Ms. samuel survey, the estimate of the number of students who are liberal arts majors if the total number of student in the college s 12,000 can be gotten using the equality expression.
7 students = 1 liberal art major student
12,000 = x liberal art major students
cross multiply
7*x = 12000*1
7x = 12000
divide both sides by 7
7x/7 = 12000/7
x = 1714.29
x≈ 1714
Hence the best estimate for the number of students who are liberal arts majors is 1714 students.
a roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 seats are empty. write an equation that can be used to determine the number of seats in each car, s
what would that be as an algebraic expression?
Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is
[tex]4s=24[/tex]
Therefore, the required equation is [tex]4s=24[/tex].
Divide both sides by 4.
[tex]s=\dfrac{24}{4}[/tex]
[tex]s=6[/tex]
Therefore, the number of seats in each car is 6.
I need help Finding the area
The area is 10 units^2
Right side triangle: A = 1/2bh
A = 1/2(8 units^2)
A = 4 units^2
Left side triangle: A = 1/2bh
A = 1/2(4 units^2)
A = 2 units^2
Square: A = lw
A = 2x2 units^2
A = 4 units^2
Total area: right triangle + left triangle + square
Total area = 10 units^2
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{10 \text{ units} ^{2} }[/tex]
[tex]\text{To find the volume, we can divide the shape into 3 different shapes}\\\\\text{A triangle with b = 2 h = 2, a square with s = 2, and a triangle of b = 4 and h = 2}\\\\\text{Therefore:}\\\\[/tex][tex]\text{Area of a triangle: A = 1/2(bh), Area of a square: } A = s^{2} \\ \\A = 1/2(2 * 2)\\A = 1/2(4)\\A = 2 \\\\A = 2^{2} \\A = 4\\\\A = 1/2(4 * 2)\\A = 1/2(8)\\A = 4\\\\\text{Add up the areas:}\\\\2 + 4 + 4 = 10 \text{ units} ^{2}[/tex]
Which graph represents the solution to the inequality?1/3(9x+27)>x+33
Answer:
its c
Step-by-step explanation:
Graph D represents the inequality of the given Equation.
What is inequality?An inequality shows whether one value is less than, greater than, or simply not equal to another value by comparing them.
When two quantities are equal, we use the symbol "=," and when they are not equal, we use the symbol "≠". The first value can either be greater than (>) or less than (<).
Given equation 1/3(9x+27) > x+33
simplify the Equation
multiply both sides by 3 we get,
[1/3(9x+27)] 3 > (x+33)3
9x + 27 > 3x + 99
9x > 3x + 99 -27
9x - 3x > 72
6x > 72
x > 12
the Equation of inequality is x > 12
the line will be more than 12 and in which 12 is not included,
option D follows the required conditions, the empty circle in 12 shows 12 is not included and the line moves towards the positive side.
Hence option D is the correct representation of the given inequality.
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The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6
Answer:
160
Step-by-step explanation:
Just add lol fjfjfjfjjd
Evaluate for x=-7 and y=-3 11x - 4y
Answer:
Is -65
Step-by-step explanation:
Used a calculator
Step-by-step explanation:
x=-7 so 11x becomes 11 x-7
11 x -7=-77
y=-3 so -4y becomes -4 x -3
-4 x -3=-12
-77-12=-89
I hope it helps!
Ifran owns rectangular parcel of land that’s is 3/4 mile long by 5/8 mile wide. What is the ratio of the length to the width of ifrans land? A15/32 B5/6 C6/5 D32/15
Answer:
Step-by-step explanation:
(3/4)(5/8) = 15/32
last year the number of cars sold was 39000 more than three times the number of trucks sold there were 216,000 cars sold last year write an equation that can be used to find the number of trucks,t, sold last year. answer
Answer:
25272 to the 10 power
Step-by-step explanation:
The midpoint of AB is M(-2,2). If the coordinates of A are (-8, -1), what are
the coordinates of B?
Answer:
work is attached and shown
The coordinates of the midpoint will be (4,5).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-2,2) and the coordinates of A are (-8, -1).
The midpoint will be calculated by using the formula below:-
( -8 + x ) / 2 = -2
( -8 + x ) = -4
x = -4 + 8 = 4
( -1 + y ) / 2 = 2
( -1 + y ) = 4 = 1 + 4 = 5
Therefore, the coordinates of the midpoint will be (4,5).
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2p²q³×5pq÷10p³q⁴ answer it pls
p³q⁴
Step-by-step explanation:
given. 2p²q³ × 5pq ÷ 10p³q⁴
multiply. 10p³q⁴ ÷ 10 p³q⁴
Divide. p³q⁴
A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34
Answer: 31, hope this helps❤
Step-by-step explanation:
If f(4) = 22, then the value of f(1) is 31.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Given a sequence defined as,
f(n + 1) = f(n) - 3
Given,
f(4) = 22
We know from definition,
f(4) = f(3) - 3
So, f(3) = 22 + 3 = 25
Similarly,
f(2) = 25 + 3 = 28
f(1) = 28 + 3 = 31
Hence the correct option is 31.
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Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but we need to convert to monthly:
Answer:
$225
Step-by-step explanation:
A quarter is made up of 4 months,
If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225
The intervals between levels 1 through 9 are equal. Compare the differences in
population from level 1 to 5 and from 6 to 9. Are they equal? Why or why not?
Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3
Please mark me as Brainliest
Solving for 'x' It's Side Splitter Theorem
Answer:
12-x=x+3
12-3=x+x
9=2x
9/2=x
4.5=x
Answer:
x = 3
Step-by-step explanation:
The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is
[tex]\frac{12-x}{x+3}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )
6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides
6x + 18 = 48 - 4x ( add 4x to both sides )
10x + 18 = 48 ( subtract 18 from both sides )
10x = 30 ( divide both sides by 10 )
x = 3
find the perimeter .
Answer:
61& 7/20
Step-by-step explanation:
The time taken to travel between two regional cities is approximately normally distributed with a mean of
70 minutes and a standard deviation of 2 minutes.
The percentage of travel times that are between 66 minutes and 72 minutes is closest to
A. 2.5%
B. 34%
C. 68%
D. 81.5%
E. 95%
Answer:
D
Step-by-step explanation:
2. Line t bisects EF at M. If EF = 35, find EM.
Answer:
EM = 17.5
Step-by-step explanation: the midpoint of 35 is 17.5
Evaluate each expression if a = -2, b=3, and c = 4.2.
1. a – 2b + 3c
2. 2a + (6 + 3)^2
Answer:
2.677Step-by-step explanation:
1) a-2b+3c
(-2)-2(3) +3(4.2)-4-6+12.6-10+12.62.62) 2a+(6+3)²
2(-2)+(9)²-4+81773. The expanded form of a number is shown below.
(9x1)+(1x1/10)+(6x1/100)+(3x1/1000) What is the number written
in standard form?
A. 91.63
C. 9.106003
B. 9.163
D. 9.0163
What’s the distance between (0,-2),(-5,-1) round to the nearest ten
Answer:
d = [tex]\sqrt{26}[/tex] or d = 5.1
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-1-(-2))^2}\\d= \sqrt{(-5)^2+(1)^2}\\d= \sqrt{25+1}\\d= \sqrt{26}[/tex]
Solve the linear equation by
combining like terms:
32 – 8 + 3x = 7x
Answer:
x=6
Step-by-step explanation:
I hope this helps you
Answer:
32-8 + 3x = 7x
24 + 3x = 7x
Then subtract the 3x and move it to the other side
24 = 4x
Then divide both side by 4
24/4 = 4x/4
The answer is
x = 6
PLEASE HELP WILL GIVE BRAINLIEST -
A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?
The line segment congruent to line HF will be DF. The correct option is C.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
Therefore, the line segment congruent to line HF will be DF. The correct option is C.
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3. Tyler said this net cannot be a net for
a square prism because not all the laces
are squares
Do you agree with him?
Explain your reasoning,
Agree..............
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)
Answer:
1st option
Step-by-step explanation:
The translated image will be moved to the right of where it starts, with no change in orientation. The first option matches the required motion.
Answer:
The answer is the picture with thetriangle on the right side with the Hypotoneese facing the top left.
Find the area and circumference of each circle with diameter 9m. Keep your answers in terms of pi.
Sarah has $400 in a savings account at the beginning of the summer. She wants to have more than $150 left in her account by the end of the summer. She withdraws $25 per week. How many weeks can she withdraw money from her account and still make her goal? Write an inequality to express the situation
Answer:
10 weeks; x >= $150
Step-by-step explanation:
400 - 150 = 250
She can only withdraw up to 250.
250 = 25w
250/25 = w
10 = w
10 weeks
x + 8 = 4
help me to doive this
Answer:
-4
Step-by-step explanation:
thats the answer
Answer:
X= -4
Step-by-step explanation:
X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you
x=-4
thats your answer
Reciprocal of - 2 and 1/3
Answer:
3/7
Step-by-step explanation:
In forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable. With this standard, if a tree is 24 m tall, what is its base
diameter?
Answer:
5
yStep-by-step explanation:
The diameter of the base of the tree is 0.3 meters.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that in forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable and the height of the tree is 24 meters.
The diameter is calculated as:-
Diameter = 24 / 80
Diameter = 0.3 meters
Hence, the diameter of the tree is 0.3 meters.
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How do you find Slope on a graph?
What is the distance between P(-3, 10 ) and Q( 12,-6)