Answer:
x=-5
Step-by-step explanation:
-6x-3=27
add 3 to both sides
-6x=30
divide both by -6
x=-5
I hope this helped :)
Answer:
[tex] \sf \: x = - 5[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -6x - 3 = 27
Then the value of x will be,
→ -6x - 3 = 27
→ -6x = 27 + 3
→ -6x = 30
→ x = 30 ÷ (-6)
→ [ x = -5 ]
Hence, the value of x is -5.
A motorboat is capable of traveling at a speed of 14 miles per hour in still water. On a particular day, it took 15 minutes longer to travel a distance of 12 miles
upstream than it took to travel the same distance downstream. What was the rate of current in the stream on that day?
By solving a system of equations we will find that the rate of current in the stream is S = 2 mi/h.
When the motorboat travels downstream, the total velocity will be the velocity of the motorboat in still water plus the velocity of the stream, while if the motorboat travels upstream, we have the velocity of the stream subtracted.
So upstream the speed is:
(14 mi/h - S)
Downstream the speed is:
(14 mi/h + S)
Where S is the rate of current in the stream.
We know that downstream it takes 15 minutes more to travel 12 miles, then we can write the system of equations:
(14 mi/h + S)*T = 12 mi
(14 mi/h - S)*(T - 15 min) = 12 mi
To solve this, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:
T = (12 mi)/(14 mi/h + S)
Replacing that in the other equation we will get:
(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi
Now we can solve this for S. Now we can multiply both sides by (14 mi/h + S).
(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)
Also notice that the speeds are in hours, so we can rewrite:
- 15 min = -0.25 h
(14 mi/h - S)*12 mi - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)
168 mi^2/h - 12mi*S + 49mi^2/h + 0.25h*S^2 = 168mi^2/h + 12mi*S
- 12mi*S + 49mi^2/h - 0.25h*S^2 = 12mi*S
-24mi*S - 0.25h*S^2 + 49mi^2/h = 0
This is a quadratic equation, the solutions are:
[tex]S = \frac{24mi \pm \sqrt{(-24mi)^2 - 4*(49mi^2/h)*(-0.25h)} }{2*-0.25h} \\\\S = \frac{24mi \pm 25 mi }{-0.5h}[/tex]
We only take the positive solution, so we get:
S = (24 mi - 25 mi)/(-0.5 mi) = 2 mi/h
The rate of current in the stream is 2 mi/h.
If you want to learn more, you can read:
https://brainly.com/question/24345308
Christine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?
Answer:
17
Step-by-step explanation:
I went to many other places, I saw their answers and turns out the only answer I searched up was wrong!
Answer:
I understand how that feels
Step-by-step explanation:
60% of students at a local high school participate in club activities. Rewrite this percent as a fraction
Answer:
The correct answer is 3/5
Step-by-step explanation:
I know its correct :)
Find an expression that gives you a quotient
of 16
Answer: Does 32/2 work it equals 16
Step-by-step explanation:
The number expression would be 32/2 which gives 16 after applying the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The quotient is 16
Let us assume 32 and 2 are the numbers that can be use in the number expression
The number expression is:
= 32/2
= 16
Thus, the number expression would be 32/2 which gives 16 after applying the arithmetic operation.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
A car is being compacted into a rectangular solid. The volume is decreasing at a rate of 2 m3/sec. The length and width of the compactor are square, but the height is not the same length as the length and width. If the length and width walls move toward each other at a rate of 0.25 m/ sec, find the rate at which the height is changing when the length and width are 2 m and the height is 1.5 m.
Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.
The volume of a rectangular solid of length l, width w and height h is given by:
[tex]V = lwh[/tex]
Applying implicit differentiation, the rate of change of the volume is given by:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
In this problem:
Volume is decreasing at a rate of 2 m3/sec, hence [tex]\frac{dV}{dt} = -2[/tex]The length and width walls move toward each other at a rate of 0.25 m/ sec, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0.25[/tex]Length and width are 2 m and the height is 1.5 m, hence [tex]l = w = 2, h = 1.5[/tex]Then:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
[tex]-2 = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}[/tex]
[tex]4\frac{dh}{dt} = -3.5[/tex]
[tex]\frac{dh}{dt} = -\frac{3.5}{4}[/tex]
[tex]\frac{dh}{dt} = -0.875[/tex]
The height is changing at a rate of -0.875 m/sec.
A similar problem is given at https://brainly.com/question/9543179
For every 0.3048 meters, there is one foot. Determine the number of feet in 7.9248 meters. Use paper to support your answer.
There are ??
feet in 7.9248 meters.
Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8
Answer:
Y=x+8
Step-by-step explanation:
Determine the value of x. Question 4 options: A) 10 B) 5 C) 10 D) 5
pls help me!!!!!!!!!!!!!!!!
Answer:
4 for the first one, 1 for the second one
Step-by-step explanation:
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee answer
Answer:
no its not a function
Step-by-step explanation:
i hope i help ;)
What is 23=5-2/3m ??????
Answer:
Step-by-step explanation:
if it's
23 = 5 - (2/3)m
18 = (-2/3)m
m = 18(-3/2)
m = -27
if it's
23 = 5 - 2/(3m)
18 = -2/(3m)
18(3m) = -2
54m = - 2
m = -2/54
m = - 1/27
my friend asked me for help and i forgot how to do this.
Answer:
Wings-3
Dollars-10
try this
3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?
Answer:
Hi!
12x = 81.84
x = 6.82
6.82 dollars every week
Please help and only answer if correct!
Answer: So last time it was 1/4 and 4 so it's no different it just going down by one so it's 1/3 and 3 if it's not I give up.
Step-by-step explanation:
What are the odds of not rolling a three on a standard six-sided die?
Answer:
5/6
Step-by-step explanation:
Hope this is helpful
Answer:
5/6
Step-by-step explanation:
need help asap please !!
Answer:
g(3) = 13
Step-by-step explanation:
The function g(3) means you replace every x value in the g(x) equation with 3:
[tex]g(x) = x^2 + 4\\g(3) = 3^2 + 4\\g(3) = 9 + 4\\g(3) = 13[/tex]
Hope this helps!
Answer:
13
Step-by-step explanation:
putting the 3 there just means to replace all x's with 3. If you do that you get g(3) = 3^2 + 4 and if you solve that its 13
Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
A)
x + 7 = 11
B)
X-7 = 11
9
C)
x + 7 = -11
D)
X - 7 = -1
Answer:
The number of miles Jill ran is the number of miles Sue ran (11) minus the number of miles Sue ran more than Jill (7).
So far, x=11-7.
Reorder the equation. Add 7 to both sides.
x + 7 = 11.
So, the correct equation is A.
:)
A) x + 7 = 11
Jill runs x amount of miles and Sue runs x miles plus 7 miles.
HI.PLS HELP HAVE AN EXAM TOMORROW.
Answer:
A
Step-by-step explanation:
In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f ( t ) = 92 − 4 log 10 ( t + 1 ) , 0 ≤ t ≤ 24 where t is the time in months.
Using the logarithmic function, it is found that:
a) The initial score is of 92.
b) After 6 months, the score is of 88.6.
c) After 18 months, the score is of 86.9.
The average score after t months is modeled by:
[tex]f(t) = 92 - 4\log{(t + 1)}[/tex]
Item a:
The initial score is of f(0), hence:
[tex]f(0) = 92 - 4\log{1} = 92 - 0 = 92[/tex]
The initial score is of 92.
Item b:
After 6 months, the score is of f(6), hence:
[tex]f(6) = 92 - 4\log{7} = 88.6[/tex]
After 6 months, the score is of 88.6.
Item c:
After 18 months, the score is of f(18), hence:
[tex]f(6) = 92 - 4\log{19} = 86.9[/tex]
After 18 months, the score is of 86.9.
A similar problem is given at https://brainly.com/question/24286043
help me with this i dont understand
Answer:
4
Step-by-step explanation:
Answer:
3Step-by-step explanation:
The scale factor is the ratio of the corresponding sides.
Take the base of both quadrilaterals.
Large quadrilateral:
6 - (-6) = 12Small quadrilateral:
2 - (-2) = 4Scale factor:
k = 12/4 = 3find the amount accumulated in an account after $9000 is invested for 8 years at a 4% coumpounded monthly
Step-by-step explanation:
9000(1+0.04/12)^(8*12)
9000(1.0033333)^96
9000(1.3763)
A=12,387.56
Help me plz I really need help
Answer:
it won't let me message back.
Step-by-step explanation:
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answer:
Step-by-step explanation:
B 160 milliliters
Simplify the following expression.
(42x + 59y) + (-14x + 35y)
A.
28x + 94y
B.
56x + 94y
C.
56x + 24y
D.
28x + 24y
Answer:
A. 28x + 94y
Step-by-step explanation:
First, line up the like terms as if you were adding vertically, and combine them.
(42x + 59y)
+ (-14x + 35y)
(28x + 94y)
Hope this helps :)
How much longer is dinner than the slide show?
Slide Show: 4:15 P.M. to 5:10 P.M.
Dinner: 5:30 P.M. to 7:00 P.M.
Answer:
35
Step-by-step explanation:
find the area of a circle when the radius is 10cm. Take the value of pi as 3.14
Answer:
314.16 cm squared
Step-by-step explanation:
Please take a look at the picture
Answer:
x=-22.42
Step-by-step explanation:
-18.43=3.99+x
Move the variable to the left-hand side and move the constant to the right. Change their signs.
-x=3.99+18.43
Add.
-x=22.42
Change the signs on both sides of the equation.
x=-22.42
Hope this helps :)
pls help me I will try to give brainleist bc i don't know how
Answer:
2195
Step-by-step explanation:
filler filler filler lol
Answer: 2,195
Step-by-step explanation:
439x5
9x5=45
3x5+4=19
4x5+1=21
2195
two numbers are in the ratio 7:9. The smaller number is 42. what is the number?
42 = 7*6
so,
7:9 = 7*6 : 9*6 = 42:54