two speedboats leave the dock at the same time and travel in opposite directions. one travels 9 mi/hr faster than the other. After 2 hr the boats are 170 mi apart. How fast is each boat travelling ?
Answer: [tex]\frac{170}{X}[/tex]+[tex]\frac{170}{X-9}[/tex]=2
(=)17 0x +170x+1530=2x²+18x
(=)-2 x² +322x+1530=0
Δ=b²-4ac
Δ=115924
[tex]\sqrt{}[/tex]Δ=340,476>0
because Δ>0 so that 2 X
=>x₁=2 (true), x₂=-161(false)
X+9= 2+9=11
first travel 2 mi/hr
second travel 11 mi/hr
Step-by-step explanation:
will the point (2, 6) be on the graph of y=3x
Answer:
the answer is yes it will
Answer:
yes
Step-by-step explanation:
since (x,y) is 2,6, we can take x as 2 and y as 6. For the answer to be yes, y=3x must be equal to the x and y values. Lets plug in the values. Is (6)=3(2)?
3 times 2 is 6! So the answer is yes.
if a quadratic equation with real coefficients has a discriminant of -2, then its roots must be
A:2 real
B:1 real
C: imaginary
D:equal
$50,000 is invested at an interest rate of 7% over 3 years. If intrest is compounded monthly what is the payout at the end of 3 years?
Answer:
THE ANSWER IS C,TRUST ME I DID THE EWUATION
Sample Question...........4x + 5x=
Answer:
4x+5x=0
sample question
or it can be a quadratic equation
4x^2+5x=0
solved
The ages of three friends are represented by three consecutive odd numbers. The sum of their ages is 63. If the youngest is represented by x, what equation would be used to find x?
Answer:
x+(x+2)+(x+4)=63
Step-by-step explanation:
Evaluate f(0) given the following graph
Answer:
f(0) = 1
Step-by-step explanation:
Assuming the graph is a function of x, then f(0) = 1.
Plug in 0 for x and ask yourself what is the y coordinate?
Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The following graph gibes the amount of money, in dollars, Tom owes his friend, as a function of the amount of time, in years.
The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope
Please find attached the required example of a possible graph that shows the amount Tom owes his friend
Reason:
Let A represent the amount of money Tom buys the boat with, let x
represent the amount of equal payment made and y represents the
amount Tom owes the friend after a given time, t, we have;
y = A - x·t
Therefore, the slope of the graph formed is -x, the y-intercept of the graph
is A, from which the graph that gives the amount of money, in dollars, Tom
owes his friend, as a function of time, in years can be presented as follows,
using example values;
A = $25,000 (Amount the Tom agrees to buy the boat)
x = $5,000 (Amount Tom pays each year for the boat)
By plugging in the above example values, the attached graph can be drawn using MS Excel
Learn more about plotting of straight line graphs here:
https://brainly.com/question/11097080
8n+8=9n solve for the value of n
Answer:
n=8
Step-by-step explanation:
1 1/2 divided by 1/4
Answer:
6
Step-by-step explanation:
1 1 /2 ÷ 1/ 4
= 3/2 ÷ 1/4
= 6
I need help again please
Answer:
19 R (remainder) 11
Step-by-step explanation:
Hope this helps! :D
Answer:
19 Remainder 11
Step-by-step explanation:
Please serious answers only I need this urgently.
Answer:
A - 226.80 B - 782.46 C. 1,178, D. 104.08
Step-by-step explanation:
hope this helps
You want to buy a phone that costs $500. You already saved $100, and you plan to save $40 every week. How many weeks would it take to meet your goal of $500?
what numbers 65% of 98
Answer:
63.7
Step-by-step explanation:
If you setup an equation it is this. Make sure to change 65% to a decimal by moving the decimal two places left.
[tex]n = .65 \times 98[/tex]
[tex]n = 63.7[/tex]
The distance between Point A (a, b) and Point C (c,d) can be found by using which formula?​
Answer:
d = √[(a-c)^2 + (b-d)^2]
Write the equation in slope intercept form of the line that is perpendicular
7y + 4x = 3: (-4,-7)
Answer:
y = (7/4)x + 0
Step-by-step explanation:
7y + 4x = 3
7y = -4x + 3
y = (-4/7)x + 3
perpendicular line:
y = (7/4)x + 0
What is the value of x?
Enter your answer in the box.
X=
Answer:
x=45°
Step-by-step explanation:
80+55=135°
180°-135°=45°Find the value of k given that both points lie on a line passing through the origin. (k,7) and (−81,−9)
Answer:
-630adkn
Step-by-step explanation:
Use the commutative properly to reoder the term
(7k) and×(-81-9)
that's all and hope it can help you thanks
brainless me please
Cornelius Shultz’s annual salary is $29,800. He is paid monthly. His personal exemptions total $4,000. How much does his employer deduct from each of Shultz’s paychecks for state income tax of 4 percent?
Answer:
86
Step-by-step explanation:
3
4
5
O
1
Austin, Kevin and Lisa have a total of $159. Austin has $11 more than Kevin. Lisa has twice as much money as
Keyin. How much money does Lisa have?
Answer:
Step-by-step explanation:
A+K+L=159
A-K=11
2K=L
Plug in 2K instead of L in the equation: A+K+L=159
A+3K=159
Plug in K+11 instead of A in the equation: A+3K=159
4K+11=159
4K=148
Kevin=$37
Pluge in 37 instead of K in the equation: A-K=11
A-37=11
Austin=$48
Plug in 48 instead of A and 37 instead of K in the equation: A+K+L=159
48+37+L=159
L=74
Please help me solve this problem
Answer:
13 hours
step by step instructions
i divided 390 by 30 hope it ok
Answer:
The repair man worked 11 hours.
Step-by-step explanation:
$390 - $60 = $330. keep in mind that she paid $60 for him to reach to her house the balance is for hours worked.
$330/$30= 11 hours
im adding 200 points to the next bc i don't want people getting it without answering, but please answer this, <3 and msg me for my sxocixal media if u can't see it so i can show you an up close image :P
Answer:
PART 1
In january she recives the discount but not in Febuary
25*12= 300 For Jan
59.99*10= 599.90 For Feb
Total: 899.90 dollars
PART 2
x stands for amount of months
59.99x=359.94
Divide both sides by 59.99
x= 6
Step-by-step explanation:
What would be the range of possible whole number values (x) for a 3rd side of the triangle with two sides of 5 in. and 8 in.?
& Name one possible value for a third side?
Correct Answer Only
Answer:
Range of the third side of a triangle
Step-by-step explanation:
Any one side of a triangle must be shorter than the sum of the other two sides. Therefore, the third side length x must be between 5 and 35, not including those endpoints: 5 < x < 35. All whole numbers satisfying this range would form a triangle.
20 is a possible value for a third side
HELP- NEEDED SOLUTION PLEASE
Answer:
A) Fraction to Decimal
1. 0.17
2. 0.75
3. 0.375
B) Decimal to Fraction
1. 8/100
2. 312/100
3.501/100
The following formula gives the volume V of a pyramid, where A is the area of the base and h is the height:
[tex]v=\frac{1}{3} Ah[/tex]
How do you find A?
what the value of 6(2b-4} when b=5
Answer:
[tex]6(2b - 4) \\ b = 5 \\ 6(2 \times 5 - 4) \\ = 6(10 - 4) \\ = 6(6) \\ = 36 \\ thank \: you[/tex]
Answer:
6(2b-4) when b = 5 is 36
Step-by-step explanation:
[tex]6(2b-4)\\6(2(5)-4)\\6(10-4)\\6(6)\\36\\[/tex]
find the missing angle B
a) 50+b=180 (supplementary angles)
b=180-50
b=130
b) b= 43° { vertically opposite angle}
Someone help will mark brainiest:) plz make sure it’s right:)
9514 1404 393
Answer:
(c) y = 3x +2
Step-by-step explanation:
The second given point is the y-intercept, telling you that the 'b' in the equation y = mx +b is 2. This eliminates the first and last choices.
Trying the other point in the two remaining equations shows you which one works:
(b) y = -3x +2
-1 = -3(-1) +2 . . . . not true
(c) y = 3x +2
-1 = 3(-1) +2 . . . . true
The equation of the line through the two points is ...
y = 3x +2
_____
Additional comment
If you plot the two points, you see the line connecting them must have a positive slope. Only the third choice has a positive slope and a y-intercept of 2.
Mark has a £5 note. A litre of milk costs 80p. Mark buys as many litre cartons of milk as he can. How much money will he have left over?
Write 2.1- as a mixed number. Show
your work
Answer:
2⅒
Step-by-step explanation:
0.1 = 1/10
2 ⅒
Answer:
2 1/10
Step-by-step explanation:
To convert the decimal 2.1 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
2.1 = 2.1
--------
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
= (2.1 × 10)
(1 × 10) = 21
------
10
Now you have to simplify, 2 1/10.