Fabio is driving west away from Albany and towards buffalo along interstate 90 at a constant rate of speed of 62 miles per hour. After driving for 1.5 hours Fabio is 221 miles from Albany
Answer:
The distance between Albany and Buffalo along the I90 is 288.8 mi.
The speed of Fabio is 62 mph.
After 1.5 hours, he is 221 miles from Albany.
Things we can calculate here:
Using the relation:
Distance = time*speed.
We can calculate the number of miles that he moved in that 1.5 hours.
D = 62mph*1.5h = 93mi.
If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.
His initial position was:
221 - 93 = 128 miles away from Albany.
Now we also can calculate the time left to arrive at Buffalo.
We know that the distance between Albany and Buffalo is 288.8 mi
And he is 221 mi away from Albany.
Then the distance left to Buffalo is:
288.8mi - 221mi = 67.8mi
And the time left will be:
Distance/speed = time
67.8mi/62mph = 1.1 hours.
He needs to drive for another 1.1 hours to get to Buffalo.
Waterco is filling barrels with waste water at the rate of 8 quarts per hour. The recycling facility picks up 150 barrels on each trip, and each barrel holds 15 quarts of wastewater. How many days are between each pick up? Show your work to receive full credit. Round answer to the tenths place 
Answer:
11.7 days
Step-by-step explanation:
Given that:
Filling rate = 8 quarts per hour
150 barrels picked up per trip
One barrel = 15 quarts of waste water
Barrel picked up per trip = 150 barrels
Number of quarts per barrel = 15 quarts
Total quantity of waste water = (150 * 15) = 2250 quarts
Filling rate = 8 quarts per hour
Time taken = quantity / rate
Time taken in days = 2250 quarts /(8*24) = 11.72
11.7 days
64x^2y-y factor the expression
Answer:
y(8x+1)(8x-1)
Step-by-step explanation:
Find the Square of 8^2
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
8^2
= 8 * 8
64
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
HELPP!!! I need help!
Answer: c.
Step-by-step explanation:
x^2 + 2x - 5 - (x - 3)
distribute the negative
x^2 + 2x - 5 - x + 3
combine like terms
x^2 + x - 2
Answer:
B
Step-by-step explanation:
You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.
Farmer Jane has many hens that have laid many eggs. Before the eggs hatch, Jane wants to
count how many eggs are blue, how many are brown, and how many are white.
Jane counts that, of all the eggs, 6 are blue and 25% are brown.
If 10% of the eggs are blue, how many of the eggs are white?
a) 15
b) 21
c) 39
d) 65
Answer:
The correct option is;
c) 39
Step-by-step explanation:
The given information are;
The number of eggs that are blue = 6
The percentage of eggs that are brown = 25%
The percentage of eggs that are blue = 10%
Let the number of eggs Jane has = X
Therefore;
10% of X = 10/100 × X = 6
X = 6 × 100/10 = 60
The number of eggs Jane has = X = 60
The percentage of the eggs that are white eggs = 100 - (The percentage of eggs that are brown + The percentage of eggs that are blue)
The percentage of the eggs that are white eggs = 100 - (10 + 25) = 65%
The percentage of the eggs that are white eggs = 65%
∴ The number of eggs that are white = 65% of X = 65/100 × X= 65/100× 60 = 39 eggs
The number of eggs that are white = 39 eggs.
From the sum of 3x +4y -3xy and 5x +3y -2xy subtract the sum of 2x +y – 3xy and 10x -9y -8xy
Answer:
5x-1y-11y
Step-by-step explanation:
3x+4y-3xy+5x+3y-2xy-2x+y-3xy+10x-9y-8xy
2x+5x+4y+3y-3xy-2xy-2x+10x+y-9y-3xy-8xy
7x+7y-5xy-12x-8y-11xy
7x-12x+7y-8y-11xy
-5x-1y-11xy
Find the x- and y-intercepts of the line.
4x – 2y = 3
Answer:
You have to find the values of each variable when the other is 0. FOr example, you plug in 0 for y and solve as x and that will be the x-intercept.
Step-by-step explanation:
2.
If you have a word problem that mentions the number of students in your school, what
variable would you assign to the number of students?
Answer:
If you're looking at all the students together, a variable you could use would be S.
If you're looking at separate sexes, you could use B & G.
HELP!! Check the following sets that are closed under the given operations!!!!
Answer:
DONDODA
Step-by-step explanation:
Write an expression for the perimeter of the triangle shown below:
The awnser choices are:
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
The graph of g is a vertical stretch by a factor of 4 and a reflection in the x-axis, followed by a translation 2 units up of the graph of f(x)=x2. Write a rule for g. Then identify the vertex.
Answer:
f(x)=x^2
g(x)= -4(x^2)+2
(0,2)
Step-by-step explanation:
Using transformation concepts, it is found that:
The rule for g is: [tex]g(x) = -4x^2[/tex]The vertex is: (0,0).------------------------------------
Stretching a function [tex]f(x)[/tex] vertically by a factor of b is given by: [tex]g(x) = bf(x)[/tex]Reflecting a function over the x-axis is the equivalent of: [tex]g(x) = -f(x)[/tex]------------------------------------
The original function is: [tex]f(x) = x^2[/tex].Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^2[/tex]Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^2[/tex], which is the rule for g.From the graph added at the end of this answer, the vertex is at (0,0).A similar problem is given at https://brainly.com/question/15196246
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below. Combine like terms: –10.9p + 3.9 = –9.18 Apply the next steps to solve the equation. What is the solution? p =
Answer:
p = 1.2
Step-by-step explanation:
The given equation is :
–4.6p – 6.3p + 3.9 = –9.18
Combining the like terms,
–4.6p – 6.3p = -9.18 - 3.9
−10.9p = −13.08
⇒ [tex]p=\dfrac{-13.08}{-10.9}\\\\p=1.2[/tex]
Hence, the value of p is 1.2
What is the value of the expression below when y = 6?
бу — 1
Answer:
35
Given:
y=6
Step-by-step explanation:
бу — 1
6(6)-1
36-1
35
hope it helps you!
PLS HELP I WILL GIVE YOU Brainliest
Answer:
3/2
Step-by-step explanation:
Because the problem tells you that the two triangles are similar, the value of a/b would be equivalent for both triangles. The fact that they are right triangles also indicates which sides are which in case the image was not drawn to scale. A is proportional to 2.1 and b is proportional to 1.4. So a/b= 2.1/1.4. This can reduce itself to 3/2 because both are divisible by .7
I only got two so far...
Answer:NML iscocilese triangle
Step-by-step explanation:
Answer:
right angle, obtuse angle and straight angle
Step-by-step explanation:
i hope this is what you mean sry if it didn't help
5/3=50/t Solving proportion
Answer:
T=30
Step-by-step explanation:
5t=3*50
5t=150
divide 5
t=30
At SMS, students were encouraged to wear school colors of blue and white. 900 Students wore their school colors while 300 students did not. What percent of the school population did not wear school colors?
Answer:
audududheyeheheh gay
2(x - 3) = -8
can someone explain to me how to slove this without calculator please and thank you<3
Answer:
-1
Step-by-step explanation:
Distribute
2(x-3)=-8
2x-6=-8
2x=-2
DIVIDE 2 on both sides
x=-1
How many quarts are in 583.7 liters?
Answer:
616.788
OR
616.79 (rounded answer)
Step-by-step explanation:
Answer:
616.78891
Step-by-step explanation:
1 liter is 1.05669 quarts
Good luck!
can someone help me ill thank them and everything
Answer:
c
Step-by-step explanation:
If they weren't equally likely then one would be more correct and therefore the other would be wrong. It's like a coin flip heads or tails it doesn't matter because it is equally likely.
Find the slope help plz
Answer:
The slope would be 10/15 or 2/3 in simplest form.
Jason solved the following equation to find the value for
X.
-8.5x – 3.5x = -78
x = 6.5
Describe how Jason can check his answer.
I
Answer:
we know, that If the x value is a solution to the equation, the x value must satisfy the equation. so It is true.
Step-by-step explanation:
just copy and paste it, its right
Which of the following is equivalent to 5x-6y=20?
A y=5/6x
B y=5/6x-10/3
C y=6/5x+4
D y=-5/6x
Answer:
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given expression:
5x - 6y = 20
To solve this problem, we make y the subject of the expression:
Solution
5x - 6y = 20
Add -5x to both sides of the expression;
-5x + 5x - 6y = 20 + (-5x)
-6y = 20 - 5x
Now, multiply both sides by [tex]-\frac{1}{6}[/tex] ;
[tex]-\frac{1}{6}[/tex] x (-6y) = [tex]-\frac{1}{6}[/tex] (20 - 5x )
y = [tex]-\frac{20}{6}[/tex] + [tex]\frac{5}{6}[/tex]x
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
What is the area of a circle with a diameter of 12cm?
Answer:
36pi
Step-by-step explanation:
area of a circle is pi*radius^2
the radius of a circle w a diameter of 12 is 6 so square 6 to get 36 and then multiply by pi
Answer:
A=36pi cm^2 or 113.097 squared cm
Step-by-step explanation:
A=pi(r)^2
A=pi(6)^2
A=36pi cm^2
The function y = $14.99 + $1.25x represents the price y for a pizza with x toppings. Which is not a reasonable range value for this function?
A. $18.25
B.$21.24
C.$17.49
D.$14.99
Please help!! I need a correct answer because it’s a test and I need a good grade. Thank you!
Answer:
Minimum = 55 F
Maximum = 71 F
Step-by-step explanation:
The temperature is changing by 8 degrees either up or down.
Because you don't know which way it is changing, you add and subtract to find the maximum and minimum, respectively.
63 + 8 = 71. Add for maximum.
63 - 8 = 55. Subtract for minimum.
63 min. 8 max. ?
answer
A number line going from negative 3 to positive 5. An open circle is at 1.5. Everything to the right of the circle is shaded. Which symbol completes the inequality represented on the graph? z _____ 1.5 > Greater-than-or-equal-to < Less-than-or-equal-to
Answer:
>
Step-by-step explanation:
Which symbol completes the inequality represented on the graph?
z _____ 1.5
>
Greater-than-or-equal-to
<
Less-than-or-equal-to
The required inequality is given as Z Greater than or equal(≥) to 1.5.
Number line from -3 to 5 is given and a open circle at 1.5.
Right of the circle is shaded and the inequality for the shaded portion to be determine.
Inequality is when the equations contain [≤ , ≥ <, >] is termed as inequalities.
Here, in the given numerical shaded potion of Z is beyond 1.5 to the right so their must be an greater than equal to (≥) after z. i.e. z ≥ 1.5.
Thus, the required inequality is given as Z Greater than or equal(≥) to 1.5.
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ2
Item 1
Find 11/12+(−7/12). Write your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
I think not sure.
Jacob buys 6 game tickets and 3 ride tickets at a carnival for $39. Emily buys 2 game tickets and 2 ride tickets for $18. Find the cost of a game ticket and the cost of a ride ticket at the carnival. Set up and solve a system of equations.
Your answer:
Answer:
Cost of ride ticket = $5
Cost of game ticket = $4
Step-by-step explanation:
Given that:
Let ;
game ticket = g
Ride ticket = r
Jacob :
6g + 3r = 39 - - - (1)
Emily :
2g + 2r = 18 - - - - (2)
Divide (2) b y 2
g + r = 9 - - - - (3)
From (3)
g = 9 - r
Substitute ; g = 9 - r into (1)
6(9 - r) + 3r = 39
54 - 6r + 3r = 39
54 - 3r = 39
-3r = 39 - 54
-3r = - 15
r = 5
Put r = 5 in (g = 9 - r)
g = 9 - 5
g = 4
Hence,
Cost of ride ticket = $5
Cost of game ticket = $4