Answer:
{x,y} = {3,-2}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 2x - 8
// Plug this in for variable y in equation [2]
[2] 3x - 2•(2x-8) = 13
[2] -x = -3
// Solve equation [2] for the variable x
[2] x = 3
// By now we know this much :
x = 3
y = 2x-8
// Use the x value to solve for y
y = 2(3)-8 = -2
Solution :
{x,y} = {3,-2}
24, 12, 10, 15, 10, 22, 12
mean:
median:
mode:
range:
3) 14, 9, 20, 5, 17, 13
mean:
15
median:
mode:
range:
4) 21, 15, 16, 25, 13, 18
mean:
median:
mode:
range:
5) 20, 17, 10, 31, 25, 18, 12
mean:
median:
mode:
range:
Answer:
ok
Step-by-step explanation:
7mean
12median
12mode
14range
15 range
no mode
13.5median
13mean
range 12
18 mean
17 median
no mode
no mode
19 mean
18 median
21 range
Bearings Problem Solving Question:
From a lighthouse two boats can be sighted. Boat 1 on a bearing of 60° at a distance of 2km and Boat 2 on a bearing of 340° at a distance of 3km.
a) If Boat 1 is in need of assistance, what bearing would Boat 2 need to travel on to reach it?
b) Assuming Boat 1 does not move, how far would Boat 2 have to travel?
9514 1404 393
Answer:
a) 123.4°
b) 3.3 km
Step-by-step explanation:
In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...
2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km
Boat 2 is located at ...
3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km
So, relative to Boat 2, Boat 1 is located at ...
(1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km
This is at a bearing of ...
arctan(2.758/-1.819) = 123.4°
and a distance of ...
√(1.819² +2.758²) ≈ 3.304 . . . . . km
a) Boat 2 would need to travel on a bearing of 123.4°.
b) Boat 2 would need to travel 3.3 km.
_____
Additional comment
We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.
How many tonnes is 1555kg
1.555 tonnes I think
A sport bag used to cost $40, then the store decides to change the cost to $52. What is the mark up? Write your answer like this 00% but instead of zeros, put the percent you found.
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
40=
52=
0%=0
Can someone just explain to me how to find “u” Thanks!
Answer:
u = 4 yards
Step-by-step explanation:
Step 1: Find u using sin
[tex]sin(x) = \frac{opposite}{hypotenuse}[/tex]
[tex]sin(30)=\frac{u}{8}[/tex]
[tex]8*sin(30)=u[/tex]
Step 2: Plug into a calculator
[tex]8*sin(30)=u[/tex]
[tex]8 * \frac{1}{2} = u[/tex]
[tex]4 = u[/tex]
Answer: u = 4 yards
PLEASE HELP FAST !!
What is the volume of the cylinder below?
A. 288 units
B. 324 units
C. 216 units
D. 432 units
The volume of the cylinder is 288π units²
How to find the volume of a cylinder?volume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 6 units
h = 8 units
volume of the cylinder = π × 6² × 8
volume of the cylinder = π × 36 × 8
volume of the cylinder = 288π units²
learn more on volume here: https://brainly.com/question/12629046
#SPJ1
Explain why the triangles are similar. Then find the value of x.
Answer:
well u can find triangles in the shape and they are the same shape just smaller
Step-by-step explanation:
combine like terms
3x+4x= 7x
14-1= 13
then divide by 7
1.85(keep going) i think THINK this is right im sorry if it isn't
What does b equal -3b-15 > -24
Step-by-step explanation:
Ans: b<3. I hope this helps.
5. What method can be use to prove the triangles below are congruent?
(look at photo for answer options)
Answer:
Congruent by HL
Step-by-step explanation:
I know this, im doing it in integrated math
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
A local bakery sells cupcakes for $3.50 each. The fixed monthly cost totals $275 which includes rent, utilities, and wages. Each cupcake costs the bakery 0.90 to make.
Answer: 110 cupcakes
Step-by-step explanation:
Assuming this question is asking for the breakeven point, you can find that by using the formula:
= Fixed cost / Contribution margin
Contribution margin = Sales price - variable cost (amount to make one cupcake)
= 3.50 - 0.90
= $2.60
Breakeven point = 275 / 2.60
= 109.77
= 110 cupcakes
What is the simplified algebraic expression?
4x – 5
–8x – 5
–8x + 10
–8x – 10
4(x+4)+2x=52 please help lol
Answer:
x=6
Step-by-step explanation:
Given: 4(x+4)+2x=52
Distribute.
4x + 16 + 2x = 52.
Simplify.
6x + 16 = 52.
Subtract 16 on both sides to isolate out the variable.
6x = 36
Divide.
x = 6
Answer:
x = 6
Step-by-step explanation:
first we distribute the 4 to the (x + 4) by multiplying 4 times each of those
4x + 16 + 2x = 52
Then, combine like terms:
6x + 16 = 52
then subtract 16 from both sides of your equation
6x = 36
then divide both sides by 6
x = 6
let me know if you have questions
Number of minutes Number of bacteria
1 1
2 4
3 9
4 16
how many bacteria will there be after 20 minutes? Explain your answer please
John's rate of pay is £12.60 per hour. One day he gets payed £119.70 John works 9 hours 50 mins that day
Answer:
Proof of conceptual & numerical relationship between Total Pay, Pay rate per hr, No of hrs
Step-by-step explanation:
Total Pay = Pay rate per hr x No of hrs
No of hrs = Total Pay / Pay rate per hr
No of hrs = 119.70 / 12.6
No of hrs = 9.5
Hence Proved
Tina's college tuition is $7,500. She pays 25% down and takes out a
loan for the balance. How much of a loan does Tina take out?
Answer:
9,375
Step-by-step explanation:
7,500*.25= 1,875
7,500+1,875=9,375
Need help on 10 and number 11
Answer:
Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020
Step-by-step explanation:
Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020
Here are six common ones. Lack of sleep. Not getting enough sleep is perhaps the greatest unappreciated cause of forgetfulness. Too little restful sleep can also lead to mood changes and anxiety, which in turn contribute to problems with memory.Apr 18, 2020
2^2 x 3^4 x 2^5/ 9 x 4^2
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
PLEASE HELP ME ASAP!
The difference between three times a number and the sum of twelve squared plus ninety-two equals five hundred fourteen.
Answer:
Number = 250
Step-by-step explanation:
Let x = "a number"
Difference means subtraction:
3x - (12^2 + 92) = 514
3x = "three times a number"
12^2 + 92 = "the sum of twelve squared and ninety two"
Solve from there.
find the measure of angle 6
Answer:
∠6 = 125°
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW :-
When any 2 lines intersect each other at any point , the vertical angles are always equal to each other .
__________________________________________________________
According to the figure ,
∠6 is present vertically opposite to the angle whose measure is 125°.
∴ Hence ∠6 = 125°.
Help pls dont answer if you don’t know also ill give brainliest
Answer:
equation: 3x+4 = 31
x = 9
Step-by-step explanation:
1. -2x+5x = 3x
2. 3x + 6 - 2
3. 6+-2 = 4
4. 3x+4 = 31
5. equation: 3x+4=31
6. 31-4 = 27
7. 3x=27
8. 27/3 = 9
9. x= 9
Tyler's family has 4 children. How many ways can they line up to get their flu shot at the doctor?
Answer:
16 if im correct
Step-by-step explanation:
4x4=16.
aaaaaa im sorry i did not know that I did not know this :C ill try
helpppppp please.....
Answer:
124
Step-by-step explanation:
42+82=? (ext ∠'s of triangle equal to int opp)
42+82= 124°
Does anyone know what measure angle F is ??
Answer:
The angle of F is 30 :)))))))
Divide using "keep change flip": *
5
3
3
2
3 7/9
3 8/9
4 1/9
4 2/9
HELP!
At 7:00 am, the temperature was -4℉. At 9:00 am, it was 8° warmer. What was the temperature at 9:00 am? *
4℉.
What we know about Degrees is that there is a Positive type and a negative type.
(i.e: 30℉ is positive and -30℉ is negative.)
If the temperature was -4℉ at 7AM, then it is negative. If it goes up by an amount that is more than 4 then that negative will go up to a positive temperature. In this case: At 9AM it was 8° warmer.
Warmer is a keyword. If it is warmer by an amount, Negative temperatures will go up to a positive and positive temperature will just go up. If it gets cooler, negative temperatures will go down further and positive temperatures will go down to a negative.
So lets work out this problem with our newfound knowledge.
-4° F at 7AM
8° warmer at 9AM
-4 + 8 = 4.
The temperature was 4° at 9AM.
-Snooky
What does the remainder tell you about the
relationship between the dividend and the divisor when dividing polynomials?
Answer:
The remainder is the number left when you completely divide out your number to its max (Dividend = Divisor × Quotient + Remainder)
Step-by-step explanation:
I hope this helped
1. If you multiply 6 by 1/4 will your answer be greater or less than 6. How do you know?
Answer:
less than 6
Step-by-step explanation:
when you multiply a number by a fraction less than 1 you are calculating a portion of that number so you get a result smaller.
What is the slope of the line that passes through the points (10, 2) and (19, 14) ?
Answer:
4/3
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{14-2}{19-10}\\\\=\frac{12}{9}\\\\= \frac{4}{3}[/tex]
PLEASE HELP!! ILL GIVE YOU BRAINLIEST
Answer:
x = 3.33
y = -2
Step-by-step explanation:
x(4) + 7 = 20
4x +7-7 = 20-7
4x = 13
x = 3.33
(y+7)(4) = 20
y+7 = 20/4
y+7 = 5
y = -2
SOMEBODY HELP ME PLZ!!!!
Answer:
The Answer is c
Step-by-step explanation:
This is because the bus can hold up to 40 people so 0 to 40
which means that the least amount of people on the bus would be 0 and the most amount of people on the bus would be 40 so 0 < x < 40