Which algebraic expression is equivalent to the expression below? ( t/3 + 12) + (t/9 + 6)
Answer:
4t/9 + 18
Step-by-step explanation:
Find the slope of the given point.
(19,3) (20,8)
Answer:
5
Step-by-step explanation:
as x goes up one y goes up 5
slope is change in y over changes in x
5/1=5
A tram has an initial velocity of 300m/minute ◦ It travels a distance of 0.5km in 20 seconds
◦ What is the acceleration of the tram in m/s2?
If you could please help me, it would be greatly appreciated?
Answer:
Step-by-step explanation:
[tex]d=vt-\frac{at^2}{2} \\ \\ a=\frac{2(d-vt)}{t^2} \\ \\ a=\frac{2(500-300(20)}{20^2} \\ \\ a=-27.5 \frac{m}{s^2}[/tex]
The acceleration of the tram is 1 m/s^2.
To find the acceleration of the tram, we can use the following equation:
acceleration (a) = (change in velocity) / (time taken)
First, let's convert the initial velocity to m/s:
Initial velocity = 300 m/minute
To convert to m/s, we need to divide by 60 (since there are 60 seconds in a minute):
Initial velocity = 300 m/minute ÷ 60 seconds/minute = 5 m/s
Now, let's find the final velocity. The tram travels a distance of 0.5 km in 20 seconds.
Distance traveled = 0.5 km = 500 m (since 1 km = 1000 m)
Time taken = 20 seconds
Now, we can find the final velocity (v) using the formula:
v = (change in distance) / (time taken)
v = 500 m / 20 seconds = 25 m/s
Next, we can find the change in velocity:
change in velocity = final velocity - initial velocity
change in velocity = 25 m/s - 5 m/s = 20 m/s
Finally, we can calculate the acceleration:
acceleration (a) = (change in velocity) / (time taken)
acceleration (a) = 20 m/s / 20 seconds = 1 m/s^2
So, the acceleration of the tram is 1 m/s^2.
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What is the independent and dependent variable in this problem?
Answer:
The height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.
Step-by-step explanation:
We know that the function
y = f(x)
where y is a function of x.
Here:
The input variable 'x' is called the independent variableThe output variable 'y' is called the independent variable because the value of output y depends upon the value of the input 'x'.Given the function of the height of the ball as a function of time is modeled by the equation
h(t) = -16t² + 90t + 5
As the height of the ball depends upon the time as the height of the ball is a function of time.
Thus, the height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.
plz i need help!
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
Answer:
The answer is 156.4
Step-by-step explanation:
5(9.2)(3.4)
156.4
cuánto es 2995 más 3495
Answer:
6490
Step-by-step explanation:
Answer:
6490
Step-by-step explanation:
Franklin lives in a state that charges property tax on vehicles. He has a SUV worth $1, and the yearly property tax is $12.38 for every $1, of value. How much will he pay in yearly property tax?
Answer: $12.38
Step-by-step explanation:
Property taxes are charged on vehicles and Franklin has an SUV. He will therefore be charged property taxes on the SUV.
The SUV is valued at $1.
The yearly property tax is $12.38 per $1.
Franklin's property tax will therefore be $12.38 because the SUV is worth $1.
given 7x + 2 is greater or lesser than 58 which number is not in the solution set.
(1).6
(2).8
(3).10
(4).12
8 = 6 + a/4 a=___ help
Answer:
a=8Step-by-step explanation:
6+a/4 = 8a/4=8-6a=4×2a=8Select the two values of x that are roots of this equation 3x^2 + 1 =5x ??
PLZZ HELP
Answer:
x = .23
x = 1.43
Step-by-step explanation:
1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:
[tex]3x^{2} -5x+1=0[/tex]
2. Solve with the quadratic formula and you get:
[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.
Answer:
here is my answer
Step-by-step explanation:
Jacob is building a rectangular prism for a class project. He needs
to cover the entire prism in aluminum foil. The length of the prism
is 8 centimeters, the width is 6.5 centimeters, and the height is 3
centimeters. How much aluminum foil will Jacob need for his
project?
Answer:
156 centimeters
Step-by-step explanation:
its very simple
8*6.5*3=156
Surface area of a rectangular prism is the sum area of the six sides.
A=2(xy+xz+yz)
A=2(8(6.5)+8(3)+6.5(3))
A=2(52+24+19.5)
A=2(95.5)
A=191 cm^2
Solve: StartAbsoluteValue StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction EndAbsoluteValue equals StartFraction 11 Over 6 EndFraction. =
Negative Direction:
– 3 lines of math labeled Positive Direction. The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction. The second line is: StartFraction x Over 6 EndFraction equals StartFraction 29 Over 12 EndFraction = –
= –2 lines of math labeled Negative Direction. The first line is: StartFraction x Over 6 EndFraction minus StartFraction 7 Over 12 EndFraction equals negative StartFraction 11 Over 6 EndFraction. The second line is: StartFraction x Over 6 EndFraction equals negative StartFraction 15 Over 12 EndFraction
Positive Direction:
– =
=
Determine the values for x by completing the steps shown.
x = x equals StartFraction 29 Over 2 EndFraction or x equals negative StartFraction 15 Over 2 EndFraction or x = –
x = –x equals negative StartFraction 29 Over 2 EndFraction or x equals StartFraction 15 Over 2 EndFraction or x =
x = –x equals negative StartFraction 29 Over 2 EndFraction or x equals negative StartFraction 15 Over 2 EndFraction or x = –
x = x equals StartFraction 29 Over 2 EndFraction or x equals StartFraction 15 Over 2 EndFraction or x =
Answer:
x = 29/2 or x = -15/2
Step-by-step explanation:
When a number is added to itself the result is 49.
Answer:
24.5
Step-by-step explanation:
24.5 + 24.5 = 49
Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
if you glance at -2 and go up positive three
What is the lowest common denominator of the following two fractions?
1/9 and 1/6
Answer:
18
Step-by-step explanation:
Theo wants to pick out an outfit for the school dance he can choose from four pairs of pants 5 shirts and 2 pairs of shoes how many different outfits does Theo have to chose from
Answer:
40
Step-by-step explanation:
Pair of pants = 4
Number of shirts = 5
Pair of shoes = 2
Number of different outfits possible :
Pair of pants * number of shirts * pair of shoes
4 * 5 * 2
20 * 2
= 40
Name the central angle of the given arc.
Which graph below does not represent a
function of x?
5
5
4
A.
12345
C. 12345
B.
Answer:
I don’t see any graphs. Try copying android pasting images.
Step-by-step explanation:
A x function should not have two y values for the same x value. Therefore, option C is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
In the graph C we can see for x value 1 there are two y-values 2 and 3.
For the x value 2 there are two y-values 2 and 3.
Because an x function should not have two y values for the same x value.
Therefore, option C is the correct answer.
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Coach Thomas brings his baseball team to get ice cream after each Friday night game. Last week, he purchased 9 cones and 8 cups of ice cream and payed $53.50. This week he purchased 6 cones and 11 cups of ice cream and paid $51.25. Write and solve a system of linear equations to determine the cost of each cone and each cup.
Cups:
Cones:
Answer:
(3.5, 2.75)
source: trust me bro
Question 10 of 10 Which choices are equivalent to the quotient below? Check all that apply. 16 A. 2 B. 2 millel C. VE D. 2 O E. సుత మన నదు OF.
Answer:
B
Step-by-step explanation:
A new barber shop just opened up in your neighborhood. You can buy two haircuts for $10 or six haircuts for $22. Is the cost a proportional or non-proportional relationship?
Answer:it is non proportional
Step-by-step explanation:
What is the volume of the right triangular prism shown?
get it right for brainlist
Answer:
V = 567 yd³
Step-by-step explanation:
V = [tex]\frac{1}{2}a c h\\[/tex]
V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]
V = 567 yd³
ABCD is a parallelogram. solve for x
a) 2
b)22
c)24
d)48
Answer:
b) 22
Step-by-step explanation:
180 = (4x+12) + (3x+14)
180 = 7x + 26
7x = 154
x=22
The area of a rectangle is at most 400 square centimeters. Write an inequality to represent the possible values for the height, h, for the height. The length is 16cm for one side
Answer:
1ft≤h≤25ft
Step-by-step explanation:
The area of a rectangle is expressed as;
Area = Length * height
A = Lh
If the area of a rectangle is at most 400 square centimeter, this is expressed as;
A ≤400
≤ means at most i.e it can not be greater than 400
Lh ≤ 400
Given L = 16
16h ≤ 400
h ≤ 400/16
h ≤ 25
Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative
Tommy makes $200,000 per year. Tommy's monthly taxes are 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes. What is Tommy's monthly Take Home Pay?
Answer: $13,925
Step-by-step explanation:
Tommy makes $200,000 per year.
He then has to pay taxes of 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes.
His total taxes are therefore:
= 10% + 4.2% + 1.75% + 0.5%
= 16.45%
Taxes in dollars are:
= Monthly salary * taxes
= (200,000/12 months) * 16.45%
= $2,741.67
Monthly take home pay:
= Monthly salary - monthly tax
= 200,000 / 12 months - 2,741.67
= 16,666.67 - 2,741.67
= $13,925
given that x is an odd integer and 2y is an even integer which of the following must be true
Answer:
K
Step-by-step explanation:
K
Hope that helps!
If x is an odd integer and 2y is an even integer then K. 2y x is odd.
What are some concepts related to arithmetic operations of odd and even numbers?Odd + Odd = Even.
Odd + Even = Even + Odd = )dd.
Even + Even = Even.
Odd × Odd = Even.
Even × Even = Even.
Odd × Even = Even × Odd = Odd.
Odd ÷ Odd = Even.
Even ÷ Odd = Even Or Odd.
Odd ÷ Even = Fraction/Decimal.
Given, x is an odd integer and 2y is an even integer.
So, y can be even or odd we are not sure.
Therefore, the only option that must be true is 2y + x is odd.
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I need help fast
The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?
Answer:
2.83 units diagonally
2 units horizontally and 2 units vertically
Step-by-step explanation:
x position difference -2-(-4)=2
y position difference 7-5=2
2 units horizontally and 2 units vertically on a graph
2^2+2^2=8
sq rt 8=2.83 units
Hi! hope youre having a nice day! i was just wondering if you could make my day nice? pleaseeee! its very simple but ive been struggling. thank you so much! and i hope its enough points for you! and please no scams!
Answers:
11. b. 4x + 2
12. c. 25(x + 2)
13. b. 8gh
14. a. 10(5x + 1)
15. a. 2x + 2
16. c. 4 units by (2x - 3)
17. c. 6(x + 10)
18. c. 5r + 35
19. b. Identity Property of Addition
Brainliests are always appreciated but not required :)
Answer:
11.
(x+4)+(3x-2)
x+3x+4-2
4x+2
12.
25x+50
25(x+2)
13.
16gh, 56gh
8gh
14.
50x+10
10(5x+1)
15.
(14x-2)-(12x-4)
14x-2-12x+4
2x+2
16.
8x-12
4(2x-3)
17.
6x+60
6(x+10)
18.
5(r+7)
5r+35
19.
This demonstrates the Identity Property of Addition, which basically states that adding zero to a number does not change the number.
Let me know if this helps!
3) Sue bought a triangular shaped piece of wood
with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of
fabric, how much fabric will she need?
Answer:
12 inches of fabric
Step-by-step explanation:
Area of a triangle = hight x base
so 6 x 2 = 12
12 inches of fabric is your answer
Hope this helps :)
If she plans to cover the front with a piece of fabric. Then the amount of fabric that she needs will be 6 square inches.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Sue bought a triangular-shaped piece of wood with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of fabric.
Then the amount of fabric that she needs will be
The amount of fabric is given by the area of the triangle.
The area of the triangle will be
Area = 1/2 x 2 x 6
Area = 6 square inches
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Diamond is playing a game. In the game she has to spin a spinner
that is divided into 4 equal sections of green, red, blue, and yellow.
What is the probability that on her first spin she will land on green
and then red on her second spin?
Answer: 1/16
In decimal form, this is equivalent to 0.0625
=====================================================
Explanation:
Each of the four sections are of equal area, so that means the probability of landing on any given color is 1/4.
The probability of landing on green first is 1/4, then followed by red is another 1/4. We multiply these fractions. This is valid because each event of spinning the spinner is independent of one another. None of the spins affect any others.
We then get (1/4)*(1/4) = (1*1)/(4*4) = 1/16
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming that each section of the spinner has an equal chance of being landed on, the probability of landing on the green on the first spin is 1/4.
Since each spin is independent of the others, the probability of landing on red on the second spin is also 1/4.
To find the probability of both events happening, we multiply the probabilities of each event:
P(green and red) = P(green) × P(red) = 1/4 × 1/4 = 1/16
Therefore,
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
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