Answer: the train traveled 43km southwards
Step-by-step explanation:
First, let's define.
North as the positive y-axis.
East as the positive x-axis.
And the initial position of the train is (0, 0).
Now, we know that:
"A train first travels east for 20 kilometers."
The new position will be:
(0, 0) + (20km, 0) = (20km , 0)
"Then it turns north and travels for 43 kilometers."
The new position will be:
(20km, 0) + (0, 43km) = (20km, 43km)
"Next it goes west for 20 kilometers."
If East if the positive x-axis, then West is the negative x-axis.
The new position of the train will be:
(20km, 43km) + (-20km, 0) = (0, 43km)
Then it travels south for an unknown number of kilometers, such that the final position is the same as the initial position, then if the train goes X kilometers to the south (and because North is the positive y-axis, South will be the negative y-axis), we have:
(0, 43km) + (0, -X) = (0, 0)
(0, 43km - X) = (0, 0)
Then we must have that:
43km - X = 0
43km = X
This means that the train traveled 43km southwards.
what is 621 divided by 9
Answer:
621/9=69
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
69x 9= 621
If f(x) = 3x + 2, what is f(5)?
Answer:
f(5)=3(5)+2 = 17
Step-by-step explanation:
The equations 3 x minus 4 y = negative 2, 4 x minus y = 4, 3 x + 4 y = 2, and 4 x + y = negative 4 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, negative 4) and (2, 4). Blue line goes through (negative 2, 2) and (2, negative 1). Pink line goes through (negative 2, negative 1), and (2, 2). Purple line goes through (negative 2, 4) and (0, negative 4).
Which is the approximate solution for the system of equations 3 x + 4 y = 2 and 4 x + y = negative 4?
(–1.4, 1.5)
(1.4, 1.5)
(0.9, –0.2)
(–0.9, –0.2)
Answer:
(–1.4, 1.5)
Step-by-step explanation:
Consider this equation.
7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)
Mia solved the equation and determined that m = 2. Is she correct?
She is incorrect because when substituting 2 for m the result was a true statement.
She is incorrect because when substituting 2 for m the result was a false statement.
She is correct because when substituting 2 for m the result was a true statement.
She is correct because when substituting 2 for m the result was a false statement.
Answer:
B . She is incorrect because when substituting 2 for m the result was a false statement.
Step-by-step explanation:
Edge. 2020
Answer:
B
Step-by-step explanation:
The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
What price did Arianna pay for the ski jacket?
what is the slope of the 2 points (10,15) (6,23)
Answer:
The slope is -2.
Step-by-step explanation:
m=y2-y1/x2-x1 (also, y1-y2/x1-x2 is also true.)
=23-15/6-10 m=15-23/10-6
= 8/-4 =-8/4
=4/-2 =-4/2
= 2/-1 =-2/1
m=-2 m=-2
The tennis team has played 28 matches so far this season. They have won 10 matches so far. How many matches will the team need to win for the team to have a 55% success rate?
Answer: they would have to win 22/40 games
Step-by-step explanation:
22 divided by 40 is 0.55 or 55%
Answer:
x = 12 (I took the FLVS assignment for 04.04, and I'll show you guys how to do this!)
Step-by-step explanation:
The team has completed 28 matches so far and has won 10 of them.
The current success rate is:
[tex]r=\frac{10}{28} *1.00=.35714[/tex]
(1.00 = 100% and .35714 = 35.714%)
We need the success rate to be 55%
Then the team must win a number of "x" matches, so:
[tex]r=\frac{10+x}{28+x} =0.55[/tex]
Now we solve the equation for x:
[tex]\frac{10+x}{28+x} =0.55[/tex]
[tex]10+x=0.55(28+x)[/tex](distributive property here!)
[tex]10+x=15.4+0.55x[/tex]
Now, move the 0.55x to the other side by subtracting it from both sides:
[tex]10+x-0.55x=15.4[/tex]
And move the 10 by doing the same thing (subtracting from both sides):
[tex]x-0.55x=15.4-10[/tex]
[tex]0.45x=5.4[/tex]
(You might ask: 15.4 - 10 = 5.4, but how do you get 0.45x out of x - 0.55x? Use Quick Math, and you should get the answer!)
[tex]x=\frac{5.4}{0.45}[/tex]
[tex]x = 12[/tex]
So, by following these steps, x = 12 is your answer!
The team must win 12 matches to have a success rate of 55%.
Hope this helps! Have a wonderful day!
What is the slope of the line?
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 3)
Point (3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute [SF]: [tex]m=\frac{0-3}{3-2}[/tex]Subtract: [tex]m=\frac{-3}{1}[/tex]Divide: [tex]m=-3[/tex]-7(x-4)
.......................
Answer:
28−7x
i think :]
what is a simplified fractional eqeuvilent of a teminating decimal .68
Answer:
17/25
Step-by-step explanation:
0.68 is read as "sixty-eight hundredths."
Write sixty-eight hundredths as a fraction: 68/100
Now we reduce 68/100.
68/100 = 34/50 = 17/25
Answer:
17 /25
Step-by-step explanation:
0.68
is the same as
6
10
+
8
100
=
68
100
68
÷
4
100
÷
4
=
17
25
As 17 is a prime number we stop at this point. srry if this in not correct
81_
Evaluate 3!
6
336
6720
40,320
Answer:
6
Step-by-step explanation:
3!= 3(2)*1 = 6
Pleaz Helpz!!! I needz this done before my final!!!
the perimeter of the field is 442
width=w
the length of the field is 9 yards less than quadruple W
L=4x - 9
the perimeter is P=2L+2W
you can plug in the values
P= 2(4w-9) + 2W
plug in 442 for P
442= 2(4w- 9) + 2W
442= 8w - 36 + 2W
478 =8w + 2W
478= 10W
47.8 is your answer!!!
Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S
Answer:
The slope of the given line is -4
Step-by-step explanation:
The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
In the given figure
∵ The line passes through the points (-6, 5) and (-4, -3)
∴ x1 = -6 and y1 = 5
∴ x2 = -4 and y2 = -3
→ Substitute them in the formula of the slope above
∵ m = [tex]\frac{-3-5}{-4--6}[/tex]
∴ m = [tex]\frac{-8}{-4+6}[/tex]
∴ m = [tex]\frac{-8}{2}[/tex]
∴ m = -4
∴ The slope of the given line is -4
What half of 90 percent in the percentages line
how are ASA and AAS used to show that triangles are congruent?
Answer:
If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.
In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.
The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.
The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ2
PLZ HELP IM BEING TIMEDDD!!!!!
Answer:
its b.
Step-by-step explanation:
also youre gonna get banned lol
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate interior angles with angle 9?
Answer:
2
Step-by-step explanation:
Please help!! And show work please! I'll give brainlist..!
HELP WITH 5 and 6 pleaseeee
You roll a six-sided die and spin the spinner below. What is the
probability of rolling a 3 and spinning blue?
Answer:
Its a 1 in 6 chance of rolling a 3
Step-by-step explanation:
Let me know how many color and i can tell you the probability if spinning blue, enjoy.
helppppppppppppppppp
Answer:
I think its measure of variation
Step-by-step explanation:
Answer:
Yall i got banned so this is my second account
Step-by-step explanation:
23.
At a football game 6 out of the first 9 people visiting the concession stand ordered nachos. Based on this
information, if 180 people visited the concession stand, how many people could be expected to order nachos? PLZ HURRY!!!!
Answer:
120 people are likely to order nachos.
Step-by-step explanation:
Answer: 2/3
Solve: 9 goes into 180 20 times. 9x20= 180
6x20=120
Denominator is 180, Numerator is 120.
120/180 simplified is 2/3.
aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help
Answer:
x = 27
STEP BY STEP:
3 = x/9
3 = x/3 x 2
9 x 3 = x
27 = x
x = 27
Hope this helped! Have a good day!
What is the value of 0.6 + 0.3? Write your answer as a fraction in lowest terms. 0.6 is repeated.
Answer:
9/10 0.9.............
Answer:
1
Step-by-step explanation:
0.666...+0.3=0.999...
1
will mark brainliest for correct answer
Answer:
Y
Step-by-step explanation:
Look at Y and look at the input and output it shows which one is it and how to find it you welcome :)
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = ^2−x and y = ^4x + 3 intersect are the solutions of the equation 2^−x = 4^x + 3.
Part B: Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.
Part C: How can you solve the equation 2^−x = 4^x + 3 graphically?
Answer:
Post a photo
Step-by-step explanation:
i'm not sure what's the answer?
:)
i believe the answer is B.
using y=mx+b find the slope for
7) 8x + 3y = −9
Answer:
-8/3
Step-by-step explanation:
8x + 3y = - 9
Let's make y the subject of the formula.
y = - 9/3 - 8x/3
Rearrange
y = - 8x/3 - 3
The slope is the coefficient of x which is - 8/3
If you don't understand, please leave a comment
Please gimme brainliest
Plz help me out I’m so confused
Answer:
b
Step-by-step explanation:
Answer:
The correct answer would be the second option y-2=1/3(x-3)
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12 n > 135 + 4.50 n represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
Answer:
The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Step-by-step explanation:
Note: The question contains some error. The question is therefore rewritten before is answered as follows:
A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
The explanation of the answer is therefore given as follows:
Given;
12n > 135 + 4.50 .................... (1)
Where n represents the number of necklace that must be sold by the artist to make a profit.
Solving for n from equation, we have:
12n > 139.50
n > 139.50 / 12
n > 11.625 ..................... (2)
Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.
When the artist sells 15 necklaces, it implies that n = 15.
Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).