The length of the model car is 2 feet
Paul's car is 16 feet long. To create a model of his car that is 1/8 the actual size, we need to determine the length of the scaled-down model.
To find the length of the model, we multiply the length of the actual car by the scaling factor of 1/8.
Length of the model = Length of the actual car * Scaling factor
Length of the model = 16 feet * (1/8)
Length of the model = 16 feet * 1/8
Length of the model = 16/8 feet
Length of the model = 2 feet
Therefore, the length of the model car is 2 feet. The model car is 1/8 the size of the actual car, so it measures 2 feet in length.
This scaled-down model allows Paul to create a representation of his car that is much smaller and more manageable while maintaining the same proportions as the original car.
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what’s the answer to this equation?
Aldo the trainer has two solo workout plans that he offers his clients: plan a and plan b. Each client does either one or the other (not both). On friday there 8 were clients who did plan a and 3 who did plan b. On saturday there were 3 clients who did plan a and 5 who did plan b. Aldo trained his friday clients for a total of 7 hours and his saturday clients for a total of 6 hours. How long does each of the workout plans last?
Answer:
x = number of hours to train plan a clients
x = 0.55 hour
y = number of hours to train plan b clients
y = 0.87 hours
Step-by-step explanation:
Friday
Plan a = 8 clients
Plan b = 3 clients
Total hours = 7
Saturday
Plan a = 3 clients
Plan b = 5 clients
Total hours = 6
Let
x = number of hours to train plan a clients
y = number of hours to train plan b clients
8x + 3y = 7 (1)
3x + 5y = 6 (2)
Multiply (1) by 5 and (2) by (3)
40x + 15y = 35 (3)
9x + 15y = 18 (4)
Subtract (4) from (3)
40x - 9x = 35 - 18
31x = 17
Divide both sides by 31
x = 17 / 31
= 0.548 hour
Approximately
x = 0.55 hour
Substitute x = 0.55 hour into (1)
8x + 3y = 7
8(.55) + 3y = 7
4.4 + 3y = 7
3y = 7 - 4.4
3y = 2.6
Divide both sides by 3
y = 2.6 / 3
= 0.867 hours
Approximately
y = 0.87 hours
x = number of hours to train plan a clients
x = 0.55 hour
y = number of hours to train plan b clients
y = 0.87 hours
Anne has $5000 in her savings account and decides to leave there for three years. After one year the account increases by 10%, the following year it decreases by 5% and in the third year it increases by 15%. How much is in the account after three years?
The classrooms in the Oakhurst School District are painted every summer. Seven gallons of paint are needed to paint 3 classrooms. How many more gallons are need to paint the 129 classrooms at North High School than the 48 classrooms at Edgewater Elementary?
Answer:
189 gallons
Step-by-step explanation:
7 gallons for 3 classrooms, so 7/3 for 1 classroom
multiply 7/3 * 129 to get 301 gallons at North High School
multiply 7/3 * 48 to get 112 gallons at Edgewater Elementary
301 - 112 = 189 gallons more at North High School than at Edgewater Elementary
The more gallons should be 189 gallons
The calculation is as follows:
7 gallons for 3 classrooms, so 7 by 3 for 1 classroom
Now
we have to multiply 7 by 3 with 129 so that 301 gallons at North High School could come
Now
multiply 7 by 3 with 48 to get 112 gallons at Edgewater Elementary
Now
= 301 - 112
= 189 gallons more
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Helpppp, what is a solution set for |a|=6
A
B
C
D
PLZ HELP MEE Which choice correctly shows how to use partial products to find 250×15
?
A.
1,250+150
B.
2,500+150
C.
1,250+1,250
D.
1,250+2,500
The solution of the multiplication of the 250 x 15 will be 1250 + 2500. The correct option is D.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
When we multiply a multiplicand by one digit of a multiplier that has more than one digit, the result is known as a partial product.
Given numbers 250 and 15. The multiplication will be done as below:-
250
x 15
--------
1250
2500
--------
3750
Therefore, the solution of the multiplication of the 250 x 15 will be 1250 + 2500. The correct option is D.
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The ratio y/x is called the all of these EXCEPT which one?
1. Unit Rate
2. Constant of proportionality
3. multiplicative inverse
4.constant multiplier
what is the surface area?
30 POINTS PLZ HELP I WILL MARK BRAINLIEST
An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −162 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
what is being asked in the problem?
show work when you solve
explain your answer
Answer:
Since 162 is negative you subtract 162-80 which is 82
Step-by-step explanation:
So it will take 82 seconds for the arrow to hit the ground I believe I’m checking my answer real quick. Ya it’s right can I maybe brainliest?
The table below shows Britney's distance, in miles, from her destination after different time intervals in hours: Time (hours) (x) 2 4 1 3 6 5 7 Distance from destination (miles) (y) 1,000 880 1,060 940 760 820 690 What is the correlation coefficient for the data, and what does it represent? (5 points) 0; it represents no correlation between x and y 0.999; it represents a linear positive correlation between x and y −0.999; it represents a linear negative correlation between x and y 0.999; it represents a linear negative correlation between x and y
Answer:
-0.999
Step-by-step explanation:
Answer:
-0.999
Step-by-step explanation:
took test
PLS HELP 15 POINTSSSSSSSSS
Answer:
Rational it's a fraction of two integers Irrational can't be written as a fraction Irrational can't be written as a fraction Rational it can be multiplied by two numbers Irrational can't be put in even a fraction:) Hope you enjoy this :)Complete the table to show the number of times per year that account 3 compounds interest. Then, use that value to write the exponential expression that models the amount of money Brianna would have for account 3 after t years. The math process used to write the exponential expression for account 4 has been modeled for you:
Account 4: r = 0.03425, and n = 365 because the interest is compounded daily.
Because $250 is the initial deposit, P = 250.
I need know for 3rd year
Answer:
1 1 250(1.035)t
2 12 250(1.002896)12t
3 52 250(1.0006635)52t
4 365 250(1.0000938)365t
Step-by-step explanation:
From Plato
The complete details is shown below:
What is interest?Interest, in its most simple form, is calculated as a percent of the principal.
Given:
r = 0.03425, and n = 365
P = 250.
Table
Expression for the Amount of Money Number of Times Interest
after t Years is Compounded per Year
Account
250(1.035) 1
250(1.002896)12 12
250(1.0000938)365+ 365
So,
1 *[250(1.035)t] 12* [250(1.002896)12t] 52* [250(1.0006635)52t] 365* [250(1.0000938)365t]Learn more about interest here:
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The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5 x IQR rule for outliers, is there evidence to support the student's claim?
Answer:
30, 31, 32, 35, and 38
Step-by-step explanation:
13-17 (my report comes tomorrow so i need help)
Answer:
44444444444444444
Step-by-step explanation:
11. A car is travelling at the average speed of 50 km/hr. How much distance would it travel in
1 hour 12 minutes?
Which ordered pair is a solution and f the equation? y-3=5(x-2)
Answer:
135=
3=5−10
Step-by-step explanation:
im not good at this but my mom said to try so i its not right
which of the following expressions are equivalent to 16/5?
choose all answers that apply:
Answer:
None of the above.
Step-by-step explanation:
16/5 is equal to 3.2
If you calculate a.) The answer comes out to negative so no
b.) Answer comes out to negative again so no
C.) None of the above YES
Because none of them have a positive outcome like the original
-19, -26, -33, -40,.
Find a
Answer:
The next one after -40 would be -47
Step-by-step explanation:
Add negative -7 to every answer
Answer:
Idek I'm.new
Step-by-step explanation:
hom4krid7dndiei3
PLEASE GIVE ME ANSWER PLEASE
sqrt((x2-x1)^2+(y2-y1)^2)
Answer:
a)sol...A/Q
x+130=180(Sum of angles on a straight line is 180 degree)
=>x=180-130
=>x=50
Hrnce,the value of x is 50 degree.
b)sol...A/Q
[tex]circumference\ of\ circle=2\pi y\\
2\pi r=2\pi y\\
r= \frac{2\pi y }{2\pi} \\
Hence,r=radius=y[/tex]
1.5x + 4.5y = 18. Where does the graph intersect the y-axis?
Answer:
4
Step-by-step explanation:
Substitute x for 0 and solve.
1.5(0)+4.5y=18
4.5y=18
y=4
For the equation, 1.5x + 4.5y = 18 at x = 0 the graph will intersect at 4 of y -the axis.
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.
Given that the equation is 1.5x + 4.5y = 18. For the value of y substitute x for 0 and solve.
1.5x + 4.5y = 18
1.5(0)+4.5y=18
4.5y=18
y=4
The value of y is equal to 4 means that the graph will intersect the y-axis at 4.
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18-53) + 6 + (18 - 2)
Susie
578
Answer:
565
Step-by-step explanation:
18-53=-35
-35+6=-29
18-2=16
16+-29=-13
-13+578=565
Could I please have BRAINLIEST?
This table represents a proportional relationship. Find the constant of proportionality.
Type the answer in the box below.
Table 1
s P
2 8
3 12
5 20
10 40
1. What is the constant of proportionality?
2. Complete the equation that represents the relationship.
Complete the equation in the box below.
Answer:
1. 4
2. y = 4x
Step-by-step explanation:
1.
Divide any y value by its corresponding x value to find the constant of proportionality.
8/2 = 4
Constant of proportionality: 4
2.
Equation of proportional relation:
y = kx, where k is the constant of proportionality.
y = 4x
Hana rents a car for a day. Her car rental company charges $50 per day and $0.40 per mile. Peter rents a car from a different company that charges $70 per day and $0.30 per mile. How many miles do they have to drive before Hana and Peter pay the same price for the rental for the same number of miles?
50 + .4x = 70 + .3x
.4x = .3x + 20
.1x = 20
x = 200
Let x be the number of miles.
They have to drive 200 miles.
They will drive 200 miles before paying same amount.
Let the number of miles that they will drive together and pay the same amount be represented by x.
Since Hana's car rental company charges $50 per day and then $0.40 per mile, this can be represented as:
= 50 + (0.40 × x)
= 50 + 0.40x
Since Peter rents a car from a different company that charges $70 per day and then $0.30 per mile, this will be:
= 70 + (0.30 × x)
= 70 + 0.30x
Then we will equate both Hana's and Peter's equation together and this will be:
50 + 0.40x = 70 + 0.30x
Collect like terms
0.40x - 0.30x = 70 - 50
0.1x = 20
x = 20/0.1
x = 200
In conclusion, they will drive 200 miles before paying thesame amount
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Solve for p 7(p - 9) = -34.3
p=__?
Answer: p = 4.1
Step-by-step explanation:
Choose all the number sentences that have a sum greater than 495,000
A) 125,678 + 98,567
B) 250,000 + 250,001
C) 382,761 + 108,912
D) 76,850 + 422,074
E) 345,632 + 149,456
Answer:
B, D and E are the correct answers.
Step-by-step explanation:
250,000 + 250,001 = 500,001
76,850 + 422,074 = 498,924
345,632 + 149,456 = 495,088
Lisa and John are working at a summer camp. The amount of money John earned is represented by the equation m=8.5h, where h represents the number of hours John works and m represents the amount of money he earns, in dollar. The table below shows the amount of money Lisa earns while working at summer camp.
Answer:
0.4625
Step-by-step explanation:
Multiply two top numbers and get 0.4625
Answer:
0.4837
Step-by-step explanation:
Add the top number to the bottom and write “tape diagram on paper “
i can’t solve this, which choice is it?
As OP bisects ∠AOR, ∠AOP = ∠POR = 55°
So, ∠AOR = ∠AOP + ∠POR = 55° + 55° = 110°
As OS bisects ∠ROB, ∠ROS = ∠SOB = x
As total angle on a line is 180°,
110° + x + x = 180°
=> 2x = 70
=> x = 35°
∠POS = ∠POR + ∠ROS = 55° + x = 55° + 35°
=> ∠POS = 90°
540,000 is what percent of 600,000?
90%
because 540,000/600,000 = 0.9
and 0.9 multiplied by 100 = 90
Hope this helps!
Answer:
90%
Step-by-step explanation:
540,000 x 100 / 600,000 = 90
(6-4p)(4p+6)
EXPAND IT AND PLEASE EXPLAIN HOW
[tex]36-16p^{2}[/tex]
Apply Difference of Two Squares Formula
(6-4p)(4p+6)=[tex]6^{2}[/tex]-([tex]4p^{2}[/tex])
BUT
(6-4p)(4p+6)
is already in the expanded form you probably want to simplify it.
:)Hope you enjoy this:)I need help with algebra 2 work pls ASAP
9514 1404 393
Answer:
g(x) = (x +1)^2 +3
Step-by-step explanation:
You know that the transformation ...
g(x) = f(x -h) +k
moves the f(x) graph h units to the right and k units up. In this problem, we have h=-1 (1 unit left) and k=3 (3 units up), so the transformation is ...
g(x) = f(x +1) +3
Since f(x) = x^2, the equation for g(x) is ...
g(x) = (x +1)^2 +3