A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?
Answer:
The answer is 22.
Step-by-step explanation:
if it started with 860 and in 8 hours it has 1036 then you would subtract 1036 - 860 which is 176 and that divided by 8 is 22. hope that helps. :)
Answer:
22 gallons per hour
Step-by-step explanation:
1036-860=176
176/8=22
22 gallons per hour is your answer
Noel's age in 8 years will be three times as old as it was 2 years ago. How old is Noel now?
Answer:
6
Step-by-step explanation:
let Noel's age be x
if Noel's age in 8 years will be three+times as old as it was 2 years ago:
x%2B8=3%28x-2%29
x%2B8=3x-6
6%2B8=3x-x
2x=14
x=7
Noel is 7 years old now
Find the slope between the points (-6, 1) and (7,5).
Answer:
4/13
Step-by-step explanation:
Can someone please help?
Answer:
k=−(x−h) 2+r 2 +y
Step-by-step explanation:
Subtract (x−h) from both sides of the equation.
Subtracting (x−h) from itself leaves 0.
Subtract (x−h)from r
Take the square root of both sides of the equation.
Subtract y from both sides of the equation.
subtracting y from itself leaves 0.
Dividing by −1 undoes the multiplication by −1.
What is the answer to this quadratic equation: 6x² + 11x – 35
Answer:
Step-by-step explanation:
This thing looks like you have to use the quadratic equation to solve it. You don't. It will factor. but you might have to guess a bit.
(3x )(2x )
(3x - 5 ) (2x + 7) How lucky is that!!?
Remove the Brackets
3x * 2x + 3x*7 - 5*2x - 35 Combine
2x*3x^2 + 21x - 10x - 35
6x^2 + 11x - 35
So the guess turns out to be correct. Now we need to solve for the roots.
3x - 5 = 0 Add 5 to both sides.
3x = 5 Divide by 3
x = 5/3
x = 1.6667
2x + 7 = 0 Subtract 7 from both sides
2x = - 7 Divide by 2
2x/2 = - 7/2
x = - 3.5
Answer
x = 1.667 orx = - 3.5
Help me with my math 8th grade
3c means = 3 x c
2c means = 2 x c
and so on
so if c = - 3
3 x (-3) x (2 x (-3) - 1) - 5 x (3 x (-3)² + (-3))
= -9 x (-6 - 1) - 5 x (3 x 9 - 3)
= - 9 x (-7) - 5 x (27 - 3)
= 63 - 5 x 24
= 63 - 120
= - 57
Answer :
- 57Given expression :
[tex]{ \longrightarrow\qquad \sf 3c(2c-1)-5(3c {}^{2} +c)}[/tex]
⠀
When c = (-3) ,
⠀
[tex]{ \longrightarrow\qquad \sf 3( - 3) \bigg[2( - 3)-1 \bigg]-5 \bigg[3( - 3){}^{2} +( - 3) \bigg]}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 6-1 \bigg]-5 \bigg[3( 9)+( - 3) \bigg]}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 7 \bigg]-5 \bigg[27 - 3 \bigg]}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf 63-5 \bigg(24 \bigg)}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf 63-120}[/tex]
⠀
[tex]{ \longrightarrow\qquad \bf - 57}[/tex]
⠀
Therefore,
The value of the expression when c = (-3) is -57Please help. I will give Brainly it really would help
Answer: The following image lays out everything you for you. Glad I could help!
(b) A restaurant bill that comes to €200 is
to be divided equally among a group of
people. However, three people leave before
the bill is settled and the remainder of the
group have to pay an extra €15 each.
How many people were originally in the
group?
Answer:
it might be 13/3 or just 13
Step-by-step explanation:
try doing 200 divided by 15
There are 32 students in a class. Nine of those students are girls. What percent are boys? (Round your answer to the nearest WHOLE person.)
PLEASE HELP ME!!!!!!!!!!!!!!!
Answer:2/5
Step-by-step explanation:
Answer: The answer would be D
Step-by-step explanation: To solve this problem you first need to add up all the total number of bills, which is 20. Then you want to format it 8/20 because there are 8 twenty dollar bills which means there is an 8/20 chance for you to get a twenty. Then simplify it if you can.
Solve the systems of inequalities:
Step-by-step explanation:
Add the equations to eliminate q
5p-3q<0
3p+3q<24
8p<24
p< 3
Plug in value of p to an equation
3(3)+3q<24
3q<24-9
q< 5
Two crocodiles together can finish their snacks in 40 seconds
Answer:
That is an interesting fact! Thank you. If you need help, let me know and I may be able to help.
[tex]:)[/tex]
The time it will take the second crocodile to finish its snack is 120 seconds
Ratio and proportionsLet x represent the rate of the first crocodile and let y represent the rate of the second crocodile.
The two crocodiles working together can finish a snack in 40 seconds. Thus;
(1/x + 1/y)40 = 1
It takes one of the crocodiles 60 seconds to finish its snack. Thus;
(1/x + 1/60)40 = 1
40/x + 2/3 = 1
x = 120 seconds
Read more about ratios and proportions here at; brainly.com/question/12442233
Complete question:
Two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack?
How do I simply the following equation?
(c^2/b + cb) /a
Please give an in-depth explanation, I didn’t understand the explanation my teacher gave me. Thank you!!
Answer: search up Expand and simplify trinomial square (a + b + c)^2 = a^2+b^2+c^2+2ab+2ac+2bc on yutube and a video named that should show up
Step-by-step explanation:
this video helped me hope it could help you as well!
A family of 2 children and 1 adult visited an amusement park and paid an entry fee of $90. Another family of 3 children and 2 adults visited the same amusement park and paid an entry fee of $155. What is the entry fee for a child at the amusement park?
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\leadsto[/tex]Let us assume entry fee for child be x
[tex]\leadsto[/tex]Let us assume entry fee for adult be y
[tex]\\[/tex]
[tex]\longrightarrow[/tex]Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -
[tex]\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) [/tex]
[tex]\longrightarrow[/tex]Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -
[tex]\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) [/tex]
Multiplying eq (1) by 2 it will be -
[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) [/tex]
Subtracting eq(2) from eq(3) -
[tex]\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} [/tex]
Thus , entry fee for a child at the amusement park = $ 35
1. After quarantine is over, you and your family are planning to rent a van for a 1-day trip to Knott’s Berry Farm in Buena Park, CA. For the type of van, your family would like to rent, you can choose from the following options:
• Enterprise Rent-A-Car: $50 per day and $0.25 a mile
• Alamo Car Rental: $45 per day and $0.35 a mile
• Budget Car Rental: $40 per day and $0.30 a mile
• Hertz Car Rental: $30 per day and $0.45 a mile
• Thrifty Car Rental: $35 per day and $0.50 a mile
(a) Choose two of the car rental companies above that you would like to compare prices for and write a mathematical model to represent the cost of renting a van from the two companies.
Rental Company Choice Mathematical Model
A.
B.
(b) Graph these mathematical models in each blank graph provided on the next page. Make sure your model A matches graph A and your model B matches graph B. Please label the graph axes appropriately.
9514 1404 393
Answer:
A) Enterprise: E(x) = 50 +0.25x; Hertz: H(x) = 30 +0.45x
B) see attached graph
Step-by-step explanation:
A) We choose to compare Hertz (lowest daily charge) and Enterprise (lowest mileage charge). In each case, the total charge will be the sum of the daily charge and the product of the mileage charge and number of miles (x).
Enterprise: E(x) = 50 +0.25x
Hertz: H(x) = 30 +0.45x
solve for
7c+5=9(c−3)
Answer:
c = 16
Step-by-step explanation:
First, distribute the 9 to the parentheses:
7c + 5 = 9(c − 3)
7c + 5 = 9c - 27
Then, subtract 7c from both sides:
5 = 2c - 27
Add 27 to both sides:
32 = 2c
Divide each side by 2:
16 = c
So, c = 16
How is multiplying two binomials the same as multiplying two complex
numbers? How is it different?
Answer:
the process of multiplying these two complex numbers is very similar to multiplying two binomials! Multiply each term in the first number by each term in the second number.
Step-by-step explanation:
there
To find the answer to the problem, solve the
system of equations for x.
y = 200 + 10x
y = 50x
Answer:
the first one ---> x=[tex]\frac{y-200}{10}[/tex]
second one ----> x=[tex]\frac{y}{50}[/tex]
Step-by-step explanation:
What perfect square falls between 177 and 217?
Answer:
Step-by-step explanation:
196 = 14 x 14
what is the slope of the line
Answer:
-1/3.
Step-by-step explanation:
The line passes by the points (-4,1) and (2,-1). The slope is:
(-1-1)/(2-(-4))=(-2)/6=-1/3
the running back for the bulldogs football team carried the ball 5 times for the total of losses of 11 1/4 yards. find the avrege change in field positionon each run. enter the evrege change as a simplified mixed number
Answer:
-2 1/4
The average change in the field position run was -2 1/4 yards
This stuff is so confusing can anyone help
Answer:
question 10: 66
Step-by-step explanation:
[tex] \frac{6 \times 121}{11} = 66[/tex]
Norton started driving at 9 am by noon he had traveled 162 mi what was his average speed?
Answer:
54mph (or 54 mi/h)
Step-by-step explanation:
9 am to the noon is 3 hours.
S=d/t where S=average speed, d=distance, and t=time
S=162/3=54
Hope that helps!!!
Answer:
54 mph
Step-by-step explanation:
Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54. This is correct
Given a geometric sequence with a1=5 and a4=135 find a2.
Answer:
15
Step-by-step explanation:
Terms in a geometric series that are n apart will have a ratio that is r^n. Here we have terms a4 and a1, which are 4-1=3 apart, so their ratio is ...
a4/a1 = 135/5 = 27 = r^3
r = ∛27 = 3
The second term is the first, multiplied by this common ratio:
a2 = a1·r = 3(5)
a2 = 15
Solve x÷2<4. Graph the solution.
Answer:
The solutions are (-2, 0) and (1, 3).
Step-by-step explanation:
Edginuity Sample response: The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2. We want to solve
-x² + 4 = x + 2
Create two curves as follows:
y = -x² +4
and
y = x + 2
By graphing the two curves together, their points of intersection are the solutions.
y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.
y = x + 2 is a straight line with slope - 1 and with y-intercept = 2
The points of intersection are (-2, 0) and (1, 3).
Find the difference: 0.350 - 0.028
Pls?
Answer:
0.322
Step-by-step explanation:
0.350 - 0.028
The answer would be 0.322
Hope this helps
- 9x = 81 plsssss help me will cash app put it below the answer !
The local furniture store pays $120 for a lamp and sells it with a 20% markdown. What is the
selling price of the lamp?
Answer:$24
Step-by-step explanation:
To find 20 percent of a number you multiply the number by 20, then multiply the answer by .01.
120 x 20 = 2400
2400 x .01 = 24
Answer: I think its 24 tell me if I'm wrong
20 divided by 100 gives you 0.2
0.2x120 gives you 24
Find x
Somebody please help me
Answer:
x=106
Step-by-step explanation:
I stitched a photo on how i got to my answer.
PLS HELP !!!
have a good day B)
Answer:
it is a wild flamenco
Step-by-step explanation: