27 : 18 = 13 : x find x
Answer: 27:18 and 13:x can also be written as 27/18 and 13/x
therefore, 27:18 = 13:x
27/18 = 13/x
27/18 *13= x
x = 19.5
Hope it helped u,
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Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
point: (5,-4)
Answer:
Step-by-step explanation:
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 6
the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5
A train freight car weighs 25 tons when empty. A conveyor belt pours coal into the car at a constant rate of 1/3 ton per minute until it is full.
The dump truck (Refer to problem 8) weighs 55 tons when filled. At the same time the freight car is being filled, an identical freight car filled
to capacity is being emptied at a rate of 1/6 ton per minute.
How long, in minutes, until the freight cars are the same weight?
The tucks will weigh the same in
minutes.
How much coal will be in each truck when they weigh the same?
There will be
tons of coal in each truck.
Step-by-step explanation:
Step one:
mass of Freight car=25tons
the rate of filling is 1/3 ton per minute
let the time taken to fill the freight car be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=25+1/3x----------1
mas of dump truck=55tons
rate of being emptied= 1/6 tons per minute
let the time taken to empty the dump truck be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=55-1/6x----------2
Step two:
equating equations 1 and 2,
1. The tucks will weigh the same in
55-1/6x=25+1/3x
collect like terms
55-25=1/3x+1/6x
30=(2+1/6)x
30=3/6x
30=1/2x
30=0.5x
x=30/0.5
x=60min
or
1 hour
The tucks will weigh the same in 60minutes(1 hour)
2. How much coal will be in each truck when they weigh the same?
For the train freight car, the weight after 60 minutes is
y=25+1/3(60)
y=25+20
y=55tons
55-25=20tons
There will be 20tons
For the dump truck, the weight after 60 minutes is
y=55-1/6(60)
y=55-10
y=45tons
55-45=10tons
There will be 10tons
2 × x × x × 3 × y × y × y
how do i do this?
Answer: [tex]6x^2y^3[/tex]
Explanation:
The numbers 2 and 3 multiply to 6, so that's why the final coefficient is 6.
The x terms multiply to [tex]x*x = x^2[/tex]
The y terms multiply to [tex]y*y*y = y^3[/tex]
The exponent tells us how many copies of the base to multiply.
So overall, [tex]2*x*x*3*y*y*y = 6x^2y^3[/tex]
HEEEEEEEEEEEEEEELLLLLLLPPPPP PLEASE
Answer:
3 1/5
Step-by-step explanation:
I used my calculator, but convert to the greatest common factor which is 15 and multiply, then simplify to 16/5 and turn to a proper fraction 3 1/5.
Answer:
= 16/5 = 3 1/5
Step-by-step explanation:
Find the value of x in the triangle below.
x = ?
Answer:
x=8
Step-by-step explanation:
hope i helped!!!
Answer:
61°
Step-by-step explanation:
180-58=122
122÷2=61
Write as a product:
a2+b2–2ab –25
Answer: -a2 - 2ab - b2 + 25 =
-1 • (a2 + 2ab + b2 - 25)
Final result :
-a2 - 2ab - b2 + 25
Step-by-step explanation:
HELPPPP plzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Oh wait I think I know the answer, c.
Answer:
C
Step-by-step explanation:
angle DAB = angle CBA
angle DBA = angle CAB
line AB = line AB
Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle
Pls help show work please
please solve this problem for me
Answer:
11/4800
Step-by-step explanation:
solve for x : 4 (1 - x) + 2x = -3 (x+1)
Answer: x=-7
Step-by-step explanation:
It says I have 13 free answers left and then it says I used them all so I only get 2 free. why?
Answer: That used to happen to me but if you answer peoples questions it doesnt do that anymore because you are helping out
Step-by-step explanation:
Answer:
you have to use ads wich is stupid
Step-by-step explanation:
Translation of, “Six less than twice the value of x,”.
Answer:
2x-6
Step-by-step explanation:
Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
Answer:
The answer is 86.08, hope this helps.
Step-by-step explanation:
Answer:
$86.08
Step-by-step explanation:
If Dan makes $5.38 for HALF an hour how much does he make for a full hour? He makes $10.76 for an entire hour.
$10.76 x 8= $86.08
A pebble is dropped into a deep well and 3s later the sound of a splash is heard as the pebble reaches the bottom of the well. The speed of sound in air is about 340 m/s. How long will it take fir the pebble to hit the water? How long does is take for the sound to reach the observer? What is the depth of the well? (I need the equation)
Answer:
[tex]2.89\ \text{s}[/tex]
0.11 seconds
[tex]37.4\ \text{m}[/tex]
Step-by-step explanation:
[tex]t_1[/tex] = Time taken by the pebble to hit the water
[tex]t_2[/tex] = Time taken by the sound to travel to the observer
[tex]t_1+t_2[/tex] = Time taken by the observer to listen to the splash after stone is thrown = 3 s
[tex]t_1=3-t_2[/tex]
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
[tex]u_s[/tex] = Speed of sound = 340 m/s
The distance traveled by the pebble
[tex]s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)[/tex]
Distance traveled by the sound
[tex]s=u_st\\\Rightarrow s=340\times t_2[/tex]
The distance traveled by the sound and the pebble is equal
[tex]4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11[/tex]
Since [tex]t_1+t_2=3[/tex] the value of [tex]t_2[/tex] cannot be greater than 3.
So, time taken by the sound to reach the observer is 0.11 seconds.
Time taken by the pebble to hit the water is [tex]t_1=3-t_2=3-0.11=2.89\ \text{s}[/tex]
Depth of the well is [tex]s=340t_2=340\times 0.11=37.4\ \text{m}[/tex]
In 2003, the average attendance per game for a football team was about (1 × 104) + (9 × 103) + (9 × 102). What is this number in standard form?
show work
Answer:
1.99 * 10^4
Step-by-step explanation:
Here, we want to write the addition in standard form
= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)
= 10,000 + 9000 + 900
= 19,900
so the number in standard form is;
1.99 * 10^4
Solve for x.
*2 =
= 1
A)
-10
22
B)
C)
D
4.
Answer:
1+x=b;b+x=c;c+x=d;d+x=89
Step-by-step explanation:
Please answer these series of questions! I will give high points and brainliest!
A. Reduce 3/51 to its simplest terms
B. Solve 7 divided by 3 (in fractions!)
C. 19 divided by 3 (fractions)
D. Reduce 50/80 to simplest terms
E. Reduce 9/14 to simplest terms
F. Reduce 36/54 to simplest terms
G. Solve 55 divided by 12 (fractions)
H. Reduce 9/153 to simplest terms
That’s all! ( please answer correct my life is depending on it, my mom will literally beat me up )
Answer:
A: 1/17 or decimal form: 0.058
B: 7/3 or mixed #: 2 1/3
C: 19/3 or mixed #: 6 1/3
D: 5/8
E: 9/14
F:2/3
G: 55/12 or mixed #: 4 7/12
H: 1/17
Step-by-step explanation:
PLEASE HELP!! REALLY URGENT!!
Answer:
it's the first option
Step-by-step explanation:
Simplify this algebraic expression completely.
7x - 5(x+6)
Answer:
2x - 30
Step-by-step explanation:
7x - 5(x+6)
7x - 5x - 30
2x - 30
done, hope i helped you and be sure to support me by marking me brainly and thank, and also make a 5.0 vote
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, I will give brainliest to whoever answers correctly, thank you.
Answer:
y = -9/8x + 7Step-by-step explanation:
Slope-intercept form is:
y = mx + bPoints given:
(0, 7) and (8, -2)y-intercept is
b = 7 as per the first pointAnd the slope is:
m = (-2 - 7)/(8 - 0) = -9/8So the line is:
y = -9/8x + 7Answer:
Required Answer:-points are
(0,7)(8,-2)slope =m
[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]
y intercept:-
7
Hence the equation is
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]
Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years.
The value of her investment at the end of 7 years is $11804
How to determine the value?The given parameters are
Principal, P = $5000
Rate, r = 4.5%
Time, t = 7 years
The value is then calculated as:
Value = P * P(1 + r)^t
So, we have:
Value = 5000 + 5000 * (1 + 4.5%)^7
Evaluate the expression
Value = 11804
Hence, the value of her investment at the end of 7 years is $11804
Read more about compound interest at:
https://brainly.com/question/24924853
#SPJ1
please helpp mecwith this question
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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]
[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]
[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]
Inverse both sides
[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]
[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]
[tex]R = \frac{48}{10} \\ [/tex]
[tex]R = 4.8 \: \: Ω[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?
Answer:
2$
Step-by-step explanation:
first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.
don't forget to add the dollar sign, it might save you points
I have 1373/1000 Points, and 10/10 brainiest. Why am I not leveling up to Expert?
Answer:
some thing is broken man
Step-by-step explanation:
Which expression has a value of 8?
1. 720 divided by 9
2. 720 divided by 90
3. 7200 divided by 9
4. 7200 divided by 90
Answer:
720 divided by 90
Step-by-step explanation:
72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier
what is any of these questions dont worry bout the others
Answer:
All that u hav to do is 2 apply BODMAS rule. And it will be done. thanq
Step-by-step explanation:
i need this asap!!!! please! will give brainliest and a thanks to fast answers!
Answer:
2 big
30 small
Step-by-step explanation:
possibility
How long can you hold your breath? A statistical question or nonstatistical question
Answer:
nonstatistical
Step-by-step explanation:
Have a great day and hope this helps
Answer:
statistical
Step-by-step explanation:
i did it