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Related Questions
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?
Answers
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.
Solve the following equation for x. Show each step.
5x + 2 = 3x + 4(2x - 1)
Answers
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Start with:
[tex]5x+2=3x+4(2x-1)[/tex]
Distribute the [tex]4[/tex] into [tex](2x-1)[/tex]:
[tex]5x+2=3x+8x-4[/tex]
Combine like terms:
[tex]5x+2=11x-4[/tex]
Add [tex]4[/tex] to both sides of the equation:
[tex]5x+6=11x[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]6=6x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]6[/tex]:
[tex]1=x[/tex]
or
[tex]x=1[/tex]
1. Distribute the 4 into (2x-1). 5x + 2 = 3x + 8x - 4.
2. Add the like terms. 5x + 2 = 11x - 4.
3. Subtract 5x on both sides. 2 = 6x - 4.
4. Add 4 on both sides. 6 = 6x
5. Divide 6 on both sides. x = 1
The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6
Answers
Answer:
160
Step-by-step explanation:
Just add lol fjfjfjfjjd
PLEASE HELP WILL GIVE BRAINLIEST -
A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?
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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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help pls pls plsssssss
Answers
Answer:
see explanation
Step-by-step explanation:
Given the points (a, c ) and (b, c )
Since the y- coordinates are equal the distance formula simplifies to
d = [tex]\sqrt{(x_{2}-x_{1})^2 }[/tex]
with x₁ = a and x₂ = b
d = [tex]\sqrt{(b-a)^2}[/tex] = b- a
The midpoint of AB is M(-2,2). If the coordinates of A are (-8, -1), what are
the coordinates of B?
Answers
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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which equation shows P=2l + 2w when solved for w?
A. w= 2l/P
B. w= 2l-P/2
C. w=2l - p/2
D. w=p-2l/2
Answers
Solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.
Change of Subject of FormulaTo make a variable a subject of the formula, we solve for the variable.
Given the equation, P=2l + 2w, we are required to solve for w.
Thus:
P = 2l + 2w
Subtract both sides by 2l
P - 2l = 2w
Divide both sides by 2
(P - 2l)/2 = w
w = (P - 2l)/2
Therefore, solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.
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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%
Answers
Answer:
D
Step-by-step explanation:
Solve the linear equation by
combining like terms:
32 – 8 + 3x = 7x
Answers
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
What’s the distance between (0,-2),(-5,-1) round to the nearest ten
Answers
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]
Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the
function is onto.
Answers
Answer:
Step-by-step explanation:
Domain : Set of all possible input values (x-values) on a graph
Codomain : Set of all possible out values for the input values (y-values) on the graph
Range : Actual output values for the input values (x-values) given on the graph.
Therefore, for the given graph,
Domain : (-∞, ∞)
Codomain : (-∞, 2]
Range : (-∞, 2]
From the given graph every input value there is a image or output value.
Therefore, the given function is onto.
3. 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
Answers
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
Answers
Answer:
25272 to the 10 power
Step-by-step explanation:
What is the distance between P(-3, 10 ) and Q( 12,-6)
Answers
Are these correct? I haven't submitted it yet
Answers
What is 5.6666 as a fraction
Answers
Step-by-step
5.6666 = 5.6666/1 = 56.666/10 = 566.66/100 = 5666.6/1000 = 56666/10000
x + 8 = 4
help me to doive this
Answers
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
Evaluate each expression if a = -2, b=3, and c = 4.2.
1. a – 2b + 3c
2. 2a + (6 + 3)^2
Answers
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+8177The average distance across an ocean is 1,600 km. Two continents on either side of the ocean are converging at a rate of 0.0001 km/year. How long will it take for them to collide? The formula to find time is: time = distance/convergence rate. Solve.
Answers
Answer: 16,000,000 years
Step-by-step explanation:
The question already states the formula for time so
1600/0.0001= 16,000,000
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope = 2. passing through (6,2)
What is the point-slope form of the equation of the line?
Answers
Answer:
Step-by-step explanation:
y - 2 = 2(x - 6)
y - 2 = 2x - 12
y = 2x - 10
Solve 7+3x-12x=3x+1 What does X equal?? plz help!
Answers
Answer:
x = 0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
7+3x-12x=3x+1
-3x =-3x cross out 3x
[tex]7-12x=1[/tex] subtract 7 on both sides
-7 =-7
[tex]-12x=-6[/tex] divide -12 into both sides
[tex]\frac{-12x}{-12} = \frac{-6}{-12}[/tex] cross out -12 and divide -6/-12 = 0.5
To check
7+3(0.5)=8.5 - 12(0.5)=2.5
3(0.5)=1.5+1= 2.5
−3 2/7−(−5/7) plz help me
Answers
Answer:
-2 or -14/7 (they're the same)
Step-by-step explanation:
Write it out: [tex]-3\frac{2}{7} - (-\frac{5}{7})[/tex] Simplify. It should now look like this: [tex]-3\frac{2}{7} + \frac{5}{7}[/tex] Turn -3 2/7 into an improper fraction. It should now look like this: -19/7Add: [tex]-\frac{19}{7} + \frac{5}{7} = -\frac{14}{7} = -2[/tex]I hope this helps!
Answer:
- 2 ⁴/₇Step-by-step explanation:
-3 ²/₇ - ( - ⁵/₇)
- 23 / 7 + 5 / 7
_ 23 + 5
7
_ 18
7
- 2 ⁴/₇
How do you find Slope on a graph?
Answers
2x^2 + 19x + 40 = -2
Answers
Answer:
X = - 7/2 or -6
Step-by-step explanation:
2x^2 + 19x + 40 = -2
2x^2 +19x + 40+2 = 0
2x^2 + 12x +7x+42= 0
2x(x+6) 7(x+6) =0
(2x+7) (x+6) = 0
2x+7 = 0
2x = -7
2x÷2=-7÷2
X= -7÷2 and
X+6=0
X=-6
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:
Answers
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
(20 points & brainliest)
Answers
Answer:
Perimeter: 42cm
Area: 66cm^2
Step-by-step explanation:
Answer:
P42 cm - P26 cm = 16 cm + 13 cm = P = 26 cm
Step-by-step explanation:
Those are two rectangles. One total and deduct the missing piece.
P=2(l+w)
First: Total 12 by 9 rectangles = P42 cm
Second: Lengths = 12 -5 = 7 and 9-3 = 6 = P=26
Thirs: add the missing lengts! 7 + 6 cm
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
Answers
Answer:
Step-by-step explanation:
(3/4)(5/8) = 15/32
Look at the two points on the number line. Each number
graphed is the square root of a whole number that is not
a perfect square. Write the appropriate square root in
each box. Explain how you found your answers.
Answers
Answer:
√8 and √23
Step-by-step explanation:
The appropriate square root are √7 and √20.
Given that, each number graphed is the square root of a whole number that is not a perfect square.
We need to write the appropriate square root in each box.
What is a square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Now, we can see the decimal numbers marked on the number line are 2.7 and 4.39.
So, 2.62²=6.8644≈7
Then the square root of number is √7
4.39²=19.2721
Then the square root of number is √20
Therefore, the appropriate square root are √7 and √20.
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I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
Please make sure to include each step you took!!!
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answers
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
a - 2(4 - a) = 7a - 12
Step 2: Solve for a
Distribute -2: a - 8 + 2a = 7a - 12
Combine like terms: 3a - 8 = 7a - 12
Subtract 3a on both sides: -8 = 4a - 12
Add 12 on both sides: 4 = 4a
Divide both sides by 4: a = 1
Step 3: Check
Plug in x to verify if it's a solution.
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5
Answer:
a = 1Step-by-step explanation:
equation given: a - 2(4 - a) = 7a - 12
distribute and expand the equation
a - 8 + 2a = 7a - 12
combine similar terms:
a + 2a - 7a = -12 + 8
simplify:
-4a = -4
a = -4 / -4
a = 1proof that a = 1
a - 2(4 - a) = 7a - 12
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5 therefore, the a = 1 is correct.
Reciprocal of - 2 and 1/3
Answers
Answer:
3/7
Step-by-step explanation: