Answer:
Y=12.5x+225
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
A particular rocket taking off from the earth surface uses fuel at a constant rate of 12.5 gallons per minute the rocket initially contains 225 gallons of fuel determine a linear model and Y equals X plus B form for the amount of fuel Y as a function of the number of minutes x at the rocket has burned
We were told to determine a linear model, where Y equals X plus B form for the amount of fuel Y as a function of the number of minutes x at the rocket has burned.
If we interpret this we have, Y=X+B , this equation can be compared to the standard equation of slope intercept of
Y= mx+b
Where the m is the slope, and b is the initial value at "y" intercept.
From the question, we were told that Y denotes a function of the number of minutes x at the rocket has burned
The given slope from the question, which is the rate= 12.5 gallons per minute
The given initial value =225 gallons of fuel which the value of "b"
If we substitute into the equation of the slope, we have;Y=12.5x+225 which is the required linear model .
PLZ HELP ... ... .......
Solve for x. (1 point) −3x + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative 3 x > the quantity negative 2 times b plus 8 all over negative 3 x < the quantity 2 times b minus 8 all over negative 3 x > the quantity negative 2 times b minus 8 all over 3
Given:
[tex]-3x+2b>8[/tex]
To find:
The value of x.
Solution:
We have,
[tex]-3x+2b>8[/tex]
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
[tex]-3x>8-2b[/tex]
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
[tex]\dfrac{-3x}{-3}<\dfrac{8-2b}{-3}[/tex]
[tex]x<\dfrac{-2b+8}{-3}[/tex]
The required inequality for x is [tex]x<\dfrac{-2b+8}{-3}[/tex].
Therefore, the correct option is A.
Philip writes 2 pages per hour. How many hours will Philip have to spend writing this week
in order to have written a total of 16 pages?
Answer:
8 hours
Step-by-step explanation:
If he writes 2 pages a hour and needs 16 pages, then you would have to divide 16 by 2 which is 8.
To double check that, you can multiply 8 by 2 which is 16.
You answer is 5 hours.
Answer:
8 hours.
Step-by-step explanation: We must Multiply! 2x1=1 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16! We could also divide as well ! 16 divided by 2= 8! We have a grand total of 8 Hours! I Hope this was helpful!
A bushel had a total of 68 apples. 25% of the apples were green and the rest of the apples were red. How many more red apples were there than green? step by step pls
Maya needs to buy 10.4 tons of rocks for her landscaping company. Each ton of rocks costs $32.90. The salesperson offers to sell the rocks to Maya for $330.
Is Maya saving money if she agrees to this deal?
How much should Maya actually be charged for the rocks?
Answer:
10.4 × 32.90 = 342.16
so yeah she should take the deal
In 2011 Ralph paid $12.95 for a box of cards and $0.44 each for 16 stamps. What was the total cost, in dollars and cents, of the box of cards and stamps?
Answer:
$19.99
Step-by-step explanation:
0.44 x 16 = 7.04
7.04 + 12.95 = 19.99
A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth
Answer:
Step-by-step explanation:
2500 - 12%
12% of 2500 = 300
2500 - 300 = 2200
12% of 2200 = 264
2200-264=1936
Repeat another 4 times
You roll a six-sided dice. What is the probability of rolling a 4?
Answer:
1/6th chance.
P.s.
please give brainliest
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
a. x = 1 1/2
b. x = 1 1/4
c. x = -1 1/4
d. x = -1 1/2
Answer:
A. x=1 1/12
Step-by-step explanation:
8x+8-3x-12=14-7x
5x-4=14-7x
5x+7x=14+4
12x=18
x=18/12
x=1 1/2
Answer:
1 1/12
Step-by-step explanation:
What equation can janet use to calculate the principles amount?
It is a try it problem
What is the value of (-12) + (- 33)? Can someone explain the steps to the answer please?.. ASAP
Answer:
(-12) + (-33) = (-45)
Find the slope of the line that passes through the given points.
(10,-15) (13,-17)
How exactly would I find a slope to a graph?
Answer:
If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).
Step-by-step explanation:
Answer:
Most people would do it by subtracting your 2 y points (any points) and dividing the by the two x points. Basically, y2-y1/x2-x1. Hoped I could help you on this one.
Step-by-step explanation:
At a concert 20 percent of the audience member were teenagers. If the number of teenagers at the concert was 360,what was the total number of audience members?
Answer: 1,800
Step-by-step explanation: At a concert, 20% of the audience members were teenagers. If the number of teenagers at the concert was 360, what was the total number of audience members? x = ? If you divide 360 by 20% it will give you 1,800 audience members.
Write a numerical expression for the verbal expression.
The difference of twenty-two and six divided by the sum of five and three
how can you solve quadratic equation in one variable using quadratic formula?
Answer:
Step-by-step explanation:
Here are the steps required to solve a quadratic using the quadratic formula:
Example 1 – Solve: x²-8x+14=0
Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.
Step 2: Use the order of operations to simplify the quadratic formula.
Step 3: Simplify the radical, if you can. In this case you can simply the radical into:
Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.
in scientific notation.
245,600,000,000
Answer:
2.456 × 10∧11
Step-by-step explanation:
What is the velocity of an object with a kinetic energy of 100 , 000 J 100,000 J100, comma, 000, start text, space, J, end text and a mass of 800 kg 800 kg800, start text, space, k, g, end text? Round your answer, if necessary, to the nearest hundredth.
Given:
Kinetic energy (KE)= 100,000 J
Mass (m)= 800 kg
To find:
The velocity of the object to the nearest hundredth.
Solution:
We know that,
[tex]KE=\dfrac{1}{2}mv^2[/tex]
where, KE is kinetic energy (in J), m is mass (in kg) and v is velocity (in m/s).
Put KE=100000 and m=800 in the above formula.
[tex]100000=\dfrac{1}{2}(800)v^2[/tex]
[tex]100000=400v^2[/tex]
Divide both sides by 400.
[tex]\dfrac{100000}{400}=v^2[/tex]
[tex]250=v^2[/tex]
Taking square root on both sides.
[tex]\sqrt{250}=v[/tex]
[tex]v=15.8113883[/tex]
[tex]v\approx 15.81[/tex]
Therefore, the velocity of the object is 15.81 m/s.
please helpppppppppp
Answer:
[tex]kb = {2}^{10} \\ gb = {2}^{30} [/tex]
tb = product of kb and gb
[tex]tb = kb \times gb \\ tb = {2}^{10} \times {2}^{30} \\ = {2}^{40} [/tex]
Find the slope of the line y = -8x + 1.
Answer:
Slope is -8
Step-by-step explanation:
The slope is the number in front of x.
what is 505 times 117
Answer:
Step-by-step explanation:
59 085
what is the ratio of 50 and 10
Answer:
5:1
Step-by-step explanation:
10 the greatest common factor.
50 divided by 10 is 5
10 divided by 10 is one
5 comes first then 1.
Answer:
5:1
Step-by-step explanation:
50 to 10 is the same thing as 50:10To simplify, find the LCM of each number, which is 10: 50 ÷ 10 = 5, 10 ÷ 10 = 1Re-write the ratio: 5:1I hope this helps!
What is the product of –3 and 5?
-15
-8
8
15
Answer:
-15
Hope I helped.
Answer:
its A
Step-by-step explanation:
What is the product of –3 and 5? -3x5 5 10 15 so -15 is the answer
The formula for the volume of a square pyramid is V = 1/3 s2h. Choose the formula in terms of h.
Answer:
h=(v-1/3s)/2
Step-by-step explanation:
If v=1/3 s2h, then you would do the following to find the formula in terms of h:
v-1/3s=2h
(v-1/3s)/2=h
Can i get brainliest please?
Answer:
h=(v-1/3s)/2
Step-by-step explanation:
CAN SOMEONE PLS HELP WITH THIS ASAP!!
Answer:
What is it?
Step-by-step explanation:
I need to find out the value of x in this triangle because I don’t understand the formula
Answer:
x = 55 degrees
Step-by-step explanation:
Firstly, as told by the question, we know that this is an isosceles triangle because AB and BC are the same length. This means that angle A and C will be equal. Next, we also know that all angles in a triangle will always add to 180 degrees. Therefore we can write an equation adding up all the angles to solve for x:
Angle A can be represented as 'x'
Angle B is represented 'x+15'
And Angle C can also be represented 'x' as it is equal to angle A
So our formula will be in this format: A+B+C=180
x+x+(x+15)=180
To solve this equation we first take out the brackets and combine like terms:
3x+15=180
Now we need to isolate 'x' so we will end up with a numerical value for it, which we do by subtracting 15 from both sides and then dividing both sides by 3:
3x+15-15=180-15
3x=165
3x/3=165/3
This gives us:
x=55
Hope this helped!
What is the equation of the line that passes through the point (6, -1) and has a
slope of 1?
Answer:
y = x – 7
Step-by-step explanation:
Answer:
y= x -7
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c (also known as slope-intercept form), where m is the gradient and c is the y-intercept.
Given that the slope is 1, m= 1.
Substitute the value of m into the equation:
y= 1x +c
y= x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= -1,
-1= 6 +c
c= -1 -6 (-6 on both sides)
c= -7
Thus, the equation of the line is y= x -7.
On Monday,447 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. How many students were in each bus ?
Answer:
There would be 8 people in each bus.
Step-by-step explanation:
Answer:
49 students in each bus
Step-by-step explanation:
the sum of two consecutive integers is 62. what are the two consecutive integers?
Answer: So our two integers are 17 and 45.
Step-by-step explanation:
The two integers are 17 and 45, See how we got it. X+Y=62. Substitute our first expression here for y, we have X+2X+11 =62.
Given that,
the two numbers are consecutive(also odd)
The two numbers are
x and x + 2
Sum of the numbers = 62
x + (x + 2) = 62
x + x + 2 = 62
2x = 62 - 2
2x = 60
x = 60/2
x = 30
Therefore, the two numbers are x = 30 and x + 1 = 32
Please help with explanation thank you.
Answer:
B
Step-by-step explanation:
Let me know how you did