Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars.
Given:
The equation is
[tex]3.6y+7.5x=21600[/tex]
where, y is the number of cars and x is the number of trucks shipped.
To find:
The number of trucks that can be shipped if there are no cars.
Solution:
We have,
[tex]3.6y+7.5x=21600[/tex]
If there are no cars in the cargo ship, then y = 0 because y is the number of cars.
Putting y=0 in the given equation, we get
[tex]3.6(0)+7.5x=21600[/tex]
[tex]0+7.5x=21600[/tex]
[tex]7.5x=21600[/tex]
Divide both sides by 7.5.
[tex]x=\dfrac{21600}{7.5}[/tex]
[tex]x=2880[/tex]
x is the number of trucks shipped.
Therefore, the number of trucks that can be shipped if there are no cars is 2880.
A new car is purchased for $32,500. The car depreciates every year ata
rate of 14%. Write an exponential function that represents that situation
Answer:
[tex]y=32500(0.86)^{x}[/tex]
Step-by-step explanation:
General exponentially depreciating function is given as
[tex]y= a(1-b)^{x}[/tex]------------(1)
Where a is initial value, b is percent depreciation/unit time and x is time
Here
[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]
Substituting above values in equation (1)
[tex]y=32500(0.86)^{x}[/tex]
At x=0
[tex]y=32500(0.86)^{0}\\y=32500[/tex]
At x=1
[tex]y=32500(0.86)^{1} \\y=27950[/tex]
Given f(x) = 2x + 2, solve for x when f(x) = -4
Anyone know the answer?
What is the hardest part of solving a triangle with 2 sides given for you?
Answer:
As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.
Step-by-step explanation:
HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST
Answer:
ok.....mmmm............
Answer:
whats the ?
Step-by-step explanation:
X + 3 =8
X- 5 =7
Please someone help?
Step-by-step explanation:
x+3=8
8-5=3 so x=5
7+5=12 / 12-7=5
12-5=7
Answer:
the answer is (1) x = 5 (2) x = 12
Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent
Answer:
[tex]no[/tex]
Step-by-step explanation:
Lets solve the first half.
[tex]-4 ( x - 6) = -4x + 24[/tex]
Second one:
[tex]-4 times x - 4 times 6 = -4x -24[/tex]
Now compare.....Not the same right??
So your answer is: [tex]no[/tex]
Hope this helps :)
what year was the best 2020 or 2019 lol I think we all know the answer
Answer:
2019 obviously!!!!!!!!!!
SOMEONE HELP BECAUSE I DONT GET THIS
Answer:
x = 18
m<A = 166°
Step-by-step explanation:
The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.
7x + 40 = 3x + 112
4x = 72
x = 18
m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166
7x+40 = 3x+112
x=18
7(18)+40
<A = 166
Stacy spins the pointer 120 times and records it. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. A winning spin is a 2. FIND THE EXPERIMENTAL PROBABILITY OF LANDING ON 2
Answer:
1 / 4
Step-by-step explanation:
Number of trials = 120
Landing on 2 = 30
Landing on 3 = 19
Landing on 4 = 25
Landing on 5 = 29
Landing on 6 = 17
The experimental probability of landing in a two:
Experimental probability :
Number of times event occurs / Number of trials
Number of 2 landings = 30
Experimental probability of landing in a 2 ;
30 / 120 = 1/4
32°
C
B
D
E
What is the measure of ZABD?
A 32°
B. 58°
O c. 64°
OD. 148°
O E. 180°
The measure of angle ZABD is 106°, the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The line AE and CD
Now,
The angle sum property to find angle D:
Z + A + B + D = 360° Substitute the given values:
Z + 32 + 58 + D = 360 Simplify:
Z + D = 270 Subtract Z from both sides:
D = 270 - Z
Now, you need to find angle Z. To do that, you can use the fact that opposite angles in a quadrilateral are supplementary, meaning they add up to 180°2. So, angle Z and angle C are supplementary:
Z + C = 180°
You can use the fact that C is an exterior angle of triangle YZX and it is equal to the sum of the opposite interior angles3. Therefore, C = Y + X. Substitute this value:
Z + Y + X = 180°
You are given that Y = 10° and X = 6°. Substitute these values:
Z + 10 + 6 = 180 Simplify:
Z = 164
Now, you can use this value to find angle D:
D = 270 - Z Substitute Z = 164:
D = 270 - 164 Simplify:
D = 106
Therefore, by algebra the answer will be 106°.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
Kate and Rachel went out to lunch. Their bill came to $34.50 before the 6% sales tax. How much was their total bill with the tax?
Answer:
36.57.........................
Write an
inequality to compare – 24 and -14.
Answer: The position of -24 is to the left of -14.
The position of -14 is to the right of -24.
Step-by-step explanation:
We can conclude that -18 < -2.
We can conclude that -14> -24.
The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?
Answer:
Around 364
Step-by-step explanation:
So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)
Then you multiply this by 57: 57x6.4 = 364.8
anyone know this? just click on the photo
Answer:
6x - 4
Step-by-step explanation:
Find value of X please
Answer:
x=7
Step-by-step explanation:
Step #1- Set the two lines equal to each other
10+12=x+15
Step #2- Solve for the line you have all values for
10+12=22
Step#3- Plug 22 back into the equation where the two lines are set equal to each other
22=x+15
Step #4- Solve for X algebraically
22=x+15
22-15=x
7=x
Please answer These. must have them quick! **60 POINTS**
Answer:
1: x = 47, y = 902: x = 92, y = 88, z = 923: 284: x = 90, y = 855: 133Explanation:
[1] - Ay = 90 (90 degree angle)
90 - 43 = 47, so x = 47
[2] - Cx = 92 because 180 - 88 = 92
x = 92 and y = 88 because 92 + 88 = 180
[3] - Cx = 28 because 90 - 62 = 28
[4] - Dx = 90 because 180 - 90 = 90
y = 85 because 42 + 53 = 95, 180 - 95 = 85
[5] - Ax = 133 because 180 - 47 = 133
- PNW
Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent?
Is the set of ordered pairs presented in the arrow diagram a function?Explain.
Answer:
no
Step-by-step explanation:
a function cant have the same range
Answer:
Functions as Arrow Diagrams When the domain and codomain of a function are finite sets then one can represent the function by an arrow diagram. Remember that an arrow diagram represents a function if exactly one arrow must leave each element of the domain and point to one element in the codomain.
Step-by-step explanation:
really need help i am failing these lessons
Mali ran 21 miles in 3 hours. How many miles could she run in 5.5 hours?
62.2 miles
30 miles
38.5 miles
40.5 miles
3.
Solve the word problem using unit rates.
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
69 multiplication problems
54 multiplication problems
92 multiplication problems
46 multiplication problems
4.
Find the fraction as percent.
15%
12%
17%
14%
5. \
Solve the proportions.
4.25
10
8
9
6.
Find the fraction as percent.
0.7%
70%
0.07%
7.0%
7.
Answer:
thats a long question ong
Step-by-step explanation:
If I add 3 to the left side of the equation, what do I have to do to the right side of the equation?
Question 3 options:
nothing
subtract 3
add 3
multiply by 3
EASY QUESTION!! is 12.0095 the same as 12.95?
Answer:
no
Step-by-step explanation:
not the same
Create a story for the following function: y=15,000 - 250x please help!!
Answer:
just search and then thats it
acceleration of a runner who goes from 1.4 m/s to 2.2 m/s in 4 s
Answer:
acceleration is 0.2m/s²
Step-by-step explanation:
Vf=Vi+at
Lets susbtitute our known variables into the equation
2.2=1.4+a(4)
We get
a=0.2m/s²
Solve for r: P= 2 r + 2x
Answer:
The correct answer is,
[tex]r = \frac{p}{2} - x[/tex]
Could someone confirm if I was correct?
compare to the correct answer on the picture. If not helped you can use a graph calculator and it should let you know wether or not you’re correct
James sat an English quiz. He scored 7 out of 8 what percentage did he get right?
Answer:
James scored 87.5% in the test.
Step-by-step explanation:
7 x 100 : 8 = 87.5%
6 of 12
A car travels a distance of 180 km in a time of 3 hours.
What is the car's average speed?
km/h
Answer:
60km/h
Step-by-step explanation:
180 ÷ 3 = 60
60km/h
Complete the factored form of the linear expression 21x + 14y = ( ) ( + )
Answer:
21x+14y
=7(3x+2y) taking common 7
A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many pounds of flour are needed to make 1 wedding cake?Please answer the question
Answer:
2.5 pounds
Step-by-step explanation:
I got a 100 on this text