To find the scale of the model train boxcar, we need to determine the ratio of the actual size of the boxcar to the size of the model. We can do this by dividing the actual size of the boxcar by the size of the model:
scale = actual size / model size
Plugging in the values from the problem, we get:
scale = 606 inches / 6 inches
Simplifying this expression gives us:
scale = 101
So, the scale of the model train boxcar is 101. This means that for every 1 inch of the model, there are 101 inches in the actual size.
Jessica is a custodian at Oracle Arena. She waxes 20 \text{ m}^220 m
2
20, start text, space, m, end text, squared of the floor in \dfrac35
5
3
start fraction, 3, divided by, 5, end fraction of an hour. Jessica waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?
Answer:
the answer to part B is 5+7+3x5
Step-by-step explanation:
Answer:
33.33M2 as a decimal and 100/3 M2 as a fraction
Step-by-step explanation:
I had the question on khan academy and got it right when I put it in as a FRACTION
In 2010, the population of a city was 231,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 3%. To the nearest 100 people, what was the population in 2020?
Answer:
246.000
Step-by-step explanation:
..............
question 8 math homework
Answer:
The correct choice is the first one
Step-by-step explanation:
Going via street A and street B will be 3.5 miles
Going directly along street C will be 2.5 miles
Please help asap! Tysm!♡♡
The coordinates of the vertices of the triangle shown are F(1,9), G(5,6), and H(5,9).
What is length of segment FG in units?
SOMEONE PLEASE HELP!!! I REALLY NEED IT!!! Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas.(Please show works!!!)
Answer:
the answer is 5h
Step-by-step explanation:
there isnt really out numbers so the answer is just 5h.
i really hope this helped you.
Find the distance between the points (6.6,7.9) and (6.6, 4.7).
To find the distance between the points (6.6,7.9) and (6.6,4.7), we can use the distance formula:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the two points, we get:
distance = √((6.6 - 6.6)^2 + (4.7 - 7.9)^2)
Simplifying this expression gives us:
distance = √((0)^2 + (-3.2)^2)
Which simplifies to:
distance = √(10.24)
Finally, taking the square root of both sides gives us:
distance = 3.2
So, the distance between the points (6.6,7.9) and (6.6,4.7) is approximately 3.2.
The fish Anastasia caught was 0.78 meter long. Sergei's fish was 0.34 meter less than 1 meter long. Which expression shows the difference in the lengths of the fish? can someone help me because i need to know how the equation would look like and not the answer some one help me pleaseee.
Answer: 0.78-(1-0.34)
Step-by-step explanation
To solve this equation you need to create an algebraic expression.
algebraic expression: mathematical statement with at least 2 terms which can be numbers are variables.
To solve this expression:
1. Take the given info and put it in an equation
0.78-(1-0.34)
Please help me im struggling and i need to get to 100%...
Answer:
Answer is 40
Step-by-step explanation:
literally all you have to do is subtract 70 - 30 = 40
so your answer would be 40 another way is 30 + 40 = 70
just have to see what number would get you to 70 if you did the problem the second way.
Can someone help, please
Answer:
[tex] y = \frac{1}{7}x + 2[/tex]
Step-by-step explanation:
Y-intercept (b) = 2 (Given)[tex]slope \:(m) =\frac{1}{7}[/tex] (Given)Equation of line in slope-intercept form is given as: [tex] y = mx + b[/tex]Plugging the values of slope (m) and y-intercept (b) in the above equation, we find:[tex] y = \frac{1}{7}x + 2[/tex]This is the required equation of line in slope-intercept form.What is the value of this numeric expression:
19 x 10 to the power of 2
Thank u!
Answer: 36100
Step-by-step explanation:
19x10
190
190^2
36100
Answer:
If the question is [tex]19 * 10^{2}[/tex], then the answer is 1,900. However, if the question is [tex](19 * 10)^{2}[/tex], then the answer will be 36,100.
Step-by-step explanation:
19 × 10^2= 19 × 100= 1,900
(19 × 10)^2= 190^2= 36,100
Evaluate the expression when z=7
4z-10
-18
-8
-38
-28
Pls answer fast thank u so much!
Answer:
18
Step-by-step explanation:
z = 7
4z - 10
= (4×7) - 10
= 28 - 10
= 18
Answer:
18
hope you like it
Write an exponential decay function to model each situation. Then estimate the values of x for the given value of f(x).
19. Initial value: 100
Decay function:0.95
f(x) = 60
The exponential functions have the values of x as;
19) 0.53
20) 5.6
What is the function?We know that when we are told that a function is an exponential decay function, what it means is that the function is decreasing with time. Thus we are going to put a negative sign and the point of the exponential.
Now we have;
19)
Initial value = 100
Decay rate = 0.95
f(x) = 60
Thus;
60 =100e^-0.95x
60/100 = e^-0.95x
0.6 = e^-0.95x
ln(0.6) = -0.95x
x = ln(0.6) /-0.95
x = 0.53
For 20;
Initial factor = 5000
Decay factor = 0.7
f(x) = 100
Thus;
100 = 5000e^-0.7x
100/5000 = e^-0.7x
0.02 = e^-0.7x
ln(0.02) = -0.7x
x = ln(0.02) / -0.7
x= 5.6
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QUICKY PLEASE HELP!!!!! Which word does NOT describe any part of the expression 4m - 3?
Answer:
Step-by-step explanation:
What are some possible solutions for the following inequality?
-3x+5x-2>-4x+1
Answer:
Any value greater than 0.5.
Step-by-step explanation:
First, set the inequality to an equation and solve for x:
[tex]-3x+5x-2=-4x+1\\2x-2=-4x+1\\2x-2+4x=-4x+1+4x\\6x-2=1\\6x-2+2=1+2\\6x=3\\(\frac{1}{6})6x=3(\frac{1}{6})\\x=\frac{1}{2}[/tex]
This is the value at which the inequality equals 0. To test the inequality and determine whether x is greater or less than [tex]\frac{1}{2}[/tex], choose any value of x that is easy to work with on either side of [tex]\frac{1}{2}[/tex]:
For x=0:
-3(0)+5(0)>-4(0)+1
0>1 This is not a true statement. Therefore, x is not less than [tex]\frac{1}{2}[/tex].
For x=1:
-3(1)+5(1)>-4(1)+1
-3+5>-4+1
2>-3 This is a true statement. Therefore, x is any value greater than [tex]\frac{1}{2}[/tex].
If you were to create a right triangle on the grid, what would the vertical and horizontal lengths be? Do these lengths match those you found in parts D and E of question 1?
-(Answer for D:)
The greater x-coordinate is 4. So, subtract the lesser x-coordinate, -2, from the greater x-coordinate, 4.
4 − (-2) = 6
Subtracting the lesser x-coordinate from the greater x-coordinate gives a difference of 6. So, 6 is the horizontal length.
-(Answer for E:)
The greater y-coordinate is 1. So, subtract the lesser y-coordinate, -1, from the greater y-coordinate, 1.
1 − (-1) = 2
Subtracting the lesser y-coordinate from the greater y-coordinate gives a difference of 2. So, 2 is the vertical length.
The vertical length is 2 units and Horizontal length is 6 units.
What is Distance Formula?The distance between two (a, b) and (c, d) is
d= √(c- a)² + ( d- b)²
Given:
Points from graph (-2, 1) and (4, -1)
Using Distance Formula
d = √ ( 4 - (-2))² + (-1 - (-1))²
d= √ 6² + 0
d= 6 units
Vertical Length (-2, 1) and (-2, -1)
Using Distance Formula
d = √ ( -2 - (-2))² + (-1 - (1))²
d= √ 0 + 4
d= 2units
and Horizontal Length (-2, -1) and (4, -1)
Using Distance Formula
d = √ ( 4 - (-2))² + (-1 - (-1))²
d= √ 6² + 0
d= 6 units
Hence, the vertical length is 2 units and Horizontal length is 6 units.
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Please help! Two functions are shown in the table. Which statement is true about the functions shown in the table? Show work.
The true statement about the function in the table is that slope of m(x) is negative while slope of n(x) is positive
How to find the equation of the values as in the tableThe equation of line in slope intercept form is written as
y = mx + c where m = slope and the y intercept is c
from the table the simultaneous equation is derived and solved as follows
-5/2 = 2m + c
1/2 = 0 + c
hence c = 1/2, solving for m gives
-5/2 = 2m + 1/2
-5/2 - 1/2 = 2m
2m = -3
m = -3/2
hence the slope is negative
for the second the values
1 = 2m + c
-1/3 = 0 + c
c = -1/3
solving for m knowing that c = -1/3
1 = 2m + (-1/3)
1 + 1/3 = 2m
4/3 = 2m
m = 2/3
hence the slope is positive
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Determine whether the relation is a function
Answer:
Yes
Step-by-step explanation:
To determine if this is a function we can put the vertical line test into place, in which we'd go from each point and construct a vertical downward, if that line intersects with any given point it is not a function.
In this case it is a function.
Which ratio is equivalent to the unit rate 30miles/1gallon? Explain how the unit rate is transformed into the equivalent ratio.
Responses
A 3gallons/10miles; by dividing the numerator and denominator of the unit rate by 10.3 gallons 10 miles ; by dividing the numerator and denominator of the unit rate by 10.
B 90miles/5gallons; by multiplying the numerator and denominator of the unit rate by 3.90 miles 5 gallons ; by multiplying the numerator and denominator of the unit rate by 3.
C 180miles/6gallons; by multiplying the numerator and denominator of the unit rate by 6.180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6.
D 6gallons/180miles; by multiplying the numerator and denominator of the unit rate by 2.
Answer:
C
Step-by-step explanation:
If you divide 180 divided by 30, it will be 6, and 6 divided by 1 is 6.
30 x 6 = 180
1 x 6 = 180
30/1 = 180/6
the perimeter of an isosceles triangle is 34 ft. the length of one side is 14 ft. the length of the two other sides are equal find the length of the other two sides
Factor: 4c² + 20cd + 81d²
improper answers (with no explantion etc) will be reported immediately ⚠️
Answer: The expression is not factorable with rational numbers.
Step-by-step explanation:
Use the formula (b/2) to the 2nd power in order to create a new term in order to find the perfect square trinomial. 4c2+20cd+106d2
Tamara works for a company that gives her 4 hours of paid vacation time for every 10 days that she works.
How many hours of vacation time will she earn if she works 50 days?
Answer:20 hours
Step-by-step explanation:
4 hours =10days
y hours =50days
50/10=5
5x4=20
Answer:
Tamara will receive 20 hours of paid vacation time if she works 50 days.
Hope this helps!
Step-by-step explanation:
10 days = 4 hours
10*( 5 ) = 4*( 5 )
50 days = 20 hours
Drag the tiles to the correct boxes to complete the pairs.
Match the pairs of coordinates with the distances between them.
The pairs of coordinates should be matched with the distances between them should be matched as follows;
Pairs Distance
(4, 2) and (1, -2) → 5 units.
(-8, 7) and (2, -3) → √200 units.
(9, 1) and (1, 9) → √128 units.
(-2, -6) and (-8, 2) → 10 units.
How to calculate the distance on coordinates?Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
For the ordered pairs (4, 2) and (1, -2), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(1 - 4)² + (-2 - 2)²]
Distance = √[(-3)² + (-4)²]
Distance = √(9 + 16)
Distance = √25
Distance = 5 units.
For the ordered pairs or points (-8, 7) and (2, -3), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(2 + 8)² + (-3 - 7)²]
Distance = √[(10)² + (-10)²]
Distance = √(100 + 100)
Distance = √200 units.
For the ordered pairs or points (9, 1) and (1, 9), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(1 - 9)² + (9 - 1)²]
Distance = √[(-8)² + (8)²]
Distance = √(64 + 64)
Distance = √128 units.
For the ordered pairs or points (-2, -6) and (-8, 2), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(-8 + 2)² + (2 + 6)²]
Distance = √[(-6)² + (8)²]
Distance = √(36 + 64)
Distance = √100
Distance = 10 units.
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A water bottle holds 72 ounces of water. How many cups does the water bottle hold? (1 cup = 8 fluid ounces)
Answer:
The water bottle holds 9 cups of water.
Step-by-step explanation:
1 bottle = 72 oz (ounces) 1 cup = 8 oz (ounces) 1 bottle = ? cups
72 ÷ 8 = 9
9 cups = 72 oz (fluid ounces)
1 bottle = 9 cups
The water bottle holds 9 cups of water.
Here, we have,
given that,
A water bottle holds 72 ounces of water.
so, we get,
1 bottle = 72 oz (ounces)
now, we know that,
1 cup = 8 oz (ounces)
so, we have to find that,
1 bottle = ? cups
we have,
if 8 oz = 1 cup
then, 72 oz = 72/8 cups
i.e. we get,
72 ÷ 8 = 9
9 cups = 72 oz (fluid ounces)
1 bottle = 9 cups.
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1/8 plus 3 1/2
Help I got 29/8 but I don't know if that's correct or if I still have to put the 3
Answer: 29/8 You were correct. You cannot simplify this problem any further. :)
Step-by-step explanation:
convert to improper fraction and find the common denominator
whats the absoulte value of the equation 7 - 12
look on the image its in number 3
Answer:
For the exercise 3
1)14
2)8
3)18
Answer:
14
Step-by-step explanation:
The equation c = 14.25t represents the total cost (c), in dollars, for a certain number of movie tickets (t).
Which table represents the equation?
Number of Tickets Cost (dollars)
0.07 1
0.14 2
Number of Tickets Cost (dollars)
14.25 1
28.5 2
Number of Tickets Cost (dollars)
1 14.25
2 28.50
Number of Tickets Cost (dollars)
1 0.07
2 0.14
Answer:
C
Step-by-step explanation:
1. define the variables for c and t
c = total cost (in dollars)
t = # of movie tickets
2. draw a table
x: 1,2,3,4,5...
y: 14.25, 28.5, 42.75, 57, 71.25...
Answer:
C
Step-by-step explanation:
(-1/3)⁴(-1/3)²
help me please
Answer:
1/3⁶
Step-by-step explanation:
(-1/3)⁴(-1/3)²
(1⁴/3⁴)(1²/3²)
(1/81)(1/9)
1/729
1/3⁶
hope it helps. Please mark brainliest.
The shaded model represents one whole. Which model represents 3/4 (look at picture)
Answer: (D)
Step-by-step explanation:
if you look at D the box is divided into 4 different part. And 3 of those parts are shaded. So if 3 out of 4 parts are shaded it would be 3/4.
Select each situation that can represent a proportional relationship.
The price of buying x gallons of gas at $3 a gallon.
The total amount of money a child earns from doing chores when she earns $10 a week for w weeks.
The total amount of weight a kitten gains in w weeks when it gains 4 ounces per week and started at a weight of 6 ounces.
The price of renting a scooter for m miles when it costs $0.75 per mile plus a base fee of $2.50.