Answer:
0
Step-by-step explanation:
m=y2-y1 / x2-x1
m= -1-1/-1-2
m=0/-3
m=0
A tank of diesel fuel contains 210 gallons. Every week, 5 gallons is used. A tank of gasoline contains 430 gallons. Every week, 16 gallons is used. After how many weeks will they have the same amount of fuel? How much fuel will each tank hold on that day?
Answer:
After 20 weeks both tanks have the same amount of fuel.
Diesel tank= 110 gallons
Gasoline tank= 110 gallons
Step-by-step explanation:
Giving the following information:
Diesel tank:
Total capacity= 210 gallons
Unitary daily use= 5 gallons
Gasoline tank:
Total capacity= 430 gallons
Unitary daily use= 16 gallons
First, we structure the total fuel loss formula for each tank:
Diesel tank= 210 - 5*x
Gasoline tank= 430 - 16*x
x= number of weeks
Now, we equal both formulas and isolate x:
210 - 5x = 430 - 16x
11x = 220
x= 20
After 20 weeks both tanks have the same amount of fuel.
Prove:
Diesel tank= 210 - 5*20= 110 gallons
Gasoline tank= 430 - 16*20= 110 gallons
What is 7/8 + 8/45 =
Step-by-step explanation:
1.05277777778
hope it helps!
Answer:
1 19/360
Step-by-step explanation:
What we know:
The addends in this equation are 7/8 and 8/45.
First, find the LCM of 8 and 45. Since 8 and 45 don't have any common factors other than 1, just multiply the two numbers.
8 * 45 = 360
After that, find the equivalent fraction for both addends
7/8 * 45/45 = 315/360
8/45 * 8/8 = 64/360
Then, add the two new fractions together, and simplify if needed.
315/360 + 64/360 = 379/360 = 1 19/360
Joey mows his neighbors lawns and earns $31.50 in 7 hours. How much does he make in 17 hours?
Answer:The blouse was 28 dollars.
Step-by-step explanation:
How many hours do they have to work before they go to the movies
Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?
I got two different answers last time. One said 25 and the other said 11. Are either of them correct?
Answer:
25 months
Step-by-step explanation:
Plan A : $70 per month
Plan B : $50 per month + $500 as a one time cost.
So for A $70 a month would take 8 months to be at least $500
And for B it in those 8 months it would cost you $900
But we have to keep going up until they are equal
25*70 = 1750
(25*50) = 1250+500=1750
So yes 25 months is correct
What is the equation of the line shown in the coordinate plane below?
Demetrius received his phone bill in the mail. The bill was for $99.00 and the sales tax was 4.5%. He ended up paying $94.54 for his bill.
True
or
False
Answer:
false
Step-by-step explanation:
i think the answer is false srry if i am wrong
Please help asap i will give brainliest
Answer:
area is 20
Step-by-step explanation:
Answer:
20 units squared
Step-by-step explanation:
4(base) x 10(height) = 40
40 / 2 = 20
O A. -2
O B. -1
C. 2
D. 1
Answer:
c is the right answer for the problem
Answer:
A.) -2
Step-by-step explanation:
Y = -6
X = 3
---------------------
-6/3 = -2
Therefor your slope to this graph is -2
how are u pls answer Me guys i will get a bad grade pls answer meeee
Answer:
i am great thank u how are u?
Step-by-step explanation:
Question 4 (1 point)
Which statement best describes the effect on the graph of y = (x-9)2 if the equation is changed to y = (x+9)2?
Oa
Ob
Oc
Od
The graph moves up 18 units.
The graph moves right 18 units.
The graph moves down 18 units.
The graph moves left 18 units.
Answer:
left
Step-by-step explanation:
Answer:
c. the graph moves left 18 units
Step-by-step explanation:
edge 2021
(:
1. Simplify: (-6a5b+c)
Answer:
−6a^5b+c
Step-by-step explanation:
Multiply then write fraction in simplest form
Answer: 1 7/30
Step-by-step explanation:
The amount of time it takes a water pump to empty a tank varies directly as the capacity of the tank. If it takes a water pump 2.5 hours to empty a tank containing 60,000 gallons of water, how long does it take the same pump to empty a tank containing 108,000 gallons of water?
Answer: 4.5 hours
Step-by-step explanation: i used cross multiplication.
2.5/x=60,000/108,000
60,000x=270,000
divide 270,000 by 60,000
x=4.5
An equation is formed when two equal expressions. The time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the amount of time it takes a water pump to empty a tank varies directly with the capacity of the tank. Therefore, the relationship can be written as,
V ∝ T
V = kT
Substituting the volume and time in the equation,
60,000 gallons = 2.5 hours × k
Solving the equation for k,
k = 60,000 gallons / 2.5 hours
k = 24,000 gallons per hour
Now, the equation for the relationship can be written as,
V = 24,000 gallons per hour × T
Now, the time the same pump will take to empty a tank containing 108,000 gallons of water is,
V = 24,000 gallons per hour × T
108,000 gallons = 24,000 gallons per hour × T
108,000 gallons / 24,000 gallons per hour = T
T = 4.5 hours
Hence, the time the same pump will take to empty a tank containing 108,000 gallons of water is 4.5 hours.
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PLEASE HELP- 56 DIVIDED BY 1.6
Answer:
35
Step-by-step explanation:
State the angle bisector theorem.

Helpppp:)
A tank full of water is leaking at a constant rate for 25 minutes. The equation
y = -4x + 220
describes the amount of water in the tank, where yis the number of liters and
x is the number of minutes that has elapsed since the tank started to leak.
Which statement is true?
A. There were 4 liters in the tank when the leak started, and it is
increasing by 220 liters per minute.
B. There were 220 liters in the tank when the leak started, and it is
decreasing by 4 liters per minute,
C. There were 4 liters in the tank when the leak started, and it is
decreasing by 220 liters per minute.
D. There were 220 liters in the tank after 25 minutes, and it
decreasing by 4 liters per minute.
Answer:
Is it B
Step-by-step explanation:
Answer:
Step-by-step explanation:
B test!
Three baby penguins and their father were sitting on an iceberg
0.5
0.50, point, 5 meters above the surface of the water. The father dove down
4.7
4.74, point, 7 meters from the iceberg into the water to catch dinner for his kids.
Answer:
-4.2
Step-by-step explanation:
0.5 - 4.7= -4.2
Answer:
The answer for khan Is -4.2
Step-by-step explanation:
(Its a negative not positive)
Write the simplest polynomial function with the given roots 1/2,5, and -2
Answer:
x³-7x²/2-39x/2 + 10Step-by-step explanation:
Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;
P(x) = (x - 1/2)(x - 5)(x+2)
Expand;
(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2
(x - 1/2)(x - 5) = x²-11x/2 + 5/2
P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10
P(x) = x³-7x²/2-39x/2 + 10
Hence the required polynomial is x³-7x²/2-39x/2 + 10
What is the common ratio of this sequence: 4, 20, 100...?
pls
Step-by-step explanation:
5 is the answer
..................
What is the value of the expression 6 + 5 · (8 ÷ 2) 2 ?
Answer:
88
Step-by-step explanation:
6+5=11
8/2=4
11x(4)2
The value of the expression 6 + 5 . (8 ÷ 2) 2 is 46.
What is BODMAS rule?BODMAS rule is a rule of calculating expressions which include more than one different mathematical operations.
BODMAS is an abbreviation for Brackets, Orders, Division, Multiplication, Addition and Subtraction.
So while calculating expressions including different operations, we should follow this order.
Here, the given expression is 6 + 5 . (8 ÷ 2) 2.
By BODMAS rule, we should calculate the expression in the bracket first.
8 ÷ 2 = 4
So, the expression becomes 6 + 5 × 4 × 2.
There are two operations, multiplication and addition here.
We should go for multiplication first.
5 × 4 × 2 = 40
The expression becomes 6 + 40 = 46.
Hence we got the value of the expression 6 + 5 . (8 ÷ 2) 2 as 46.
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how many solutions does
7x=4x-7 have?
A) one solution
B) two solutions
C) No solutions
D) infinite solutions
Answer:
A , one solution.........
If you deposit $7500 into an account paying 7% annual interest compounded monthly, how
much money will be in the account after 9 years?
Whats the answer please explain your answer giving brainliest:D..
Answer:
It is the first one
Step-by-step explanation:
Solve the equation 25+11/12b = 47 [11/12 is the fraction eleven twelfths]
DUE IN 10 MINUTES NO TROLL ANSWERS OR GET REPORTED THE QUESTION IS FOR 20 POINTS
Answer:
i think b=24
Step-by-step explanation:
Answer:
b = -864/11 = -78.545
Step-by-step explanation:
PLEASE HELP!! BRAINILIESTTTT
Answer:
The element is Boron(B)
Step-by-step explanation:
This is because on the periodic table, it shows that Boron has 5 protons and 5 electrons
Total price: $128,500
Tax or tip rate: 5.5%
Answer:
Step-by-step explanation:
5.5% of 128,500
(128500*5.5)/100=7067.50
Simplify the following surd expressions
a) 7/3 - 2/3 + V3 - 3V3
Answer:
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3[/tex]
solving the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}[/tex]
combine the fractions i.e [tex]\frac{7}{3}-\frac{2}{3}=\frac{5}{3}[/tex]
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}[/tex]
add similar elements i.e [tex]\sqrt{3}-3\sqrt{3}=-2\sqrt{3}[/tex]
[tex]=\frac{5}{3}-2\sqrt{3}[/tex]
Thus,
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
What type of decimal is this fraction: LaTeX: \frac{11}{20}
terminating
neither
both
repeating
11/20
Divide 11 by 20 to find the decimal value.
11/20 = 0.55
The decimal only contains two numbers, so it is a terminating fraction.
Force is giving away tickets to a school play. She gives away 20 more adult tickets than children's tickets. She gives away 3 times as many senior tickets as she does adult tickets. Force gives away 40 children's tickets.
A.273
B.79
C.318
D228
The total number of tickets given away is 280
How to determine the total number of tickets?To do this, we make use of the following representations:
c represents childrena represents adultss represents seniorFrom the question, we have the following equations:
a = 20 + c --- 20 more adult than children
s = 3a ---- 3 times as many senior as adult
c = 40 --- number of children tickets
Substitute c = 40 in a = 20 + c
a = 20 + 40
a = 60
Substitute a = 60 in s = 3a
s = 3 * 60
s = 180
The total number of tickets is:
Total = a + c + s
This gives
Total = 60 + 40 + 180
Evaluate
Total = 280
Hence, the total number of tickets given away is 280
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2y + 7x = -5
5y - 7x = 12
x =
y =
Answer:
x = - 1, y = 1
Step-by-step explanation:
Given the 2 equations
2y + 7x = - 5 → (1)
5y - 7x = 12 → (2)
Adding the2 equations term by term will eliminate the term in x, that is
7y = 7 ( divide both sides by 7 )
y = 1
Substitute y = 1 into either of the 2 equationsand solve for x
Substituting into (1)
2(1) + 7x = - 5
2 + 7x = - 5 ( subtract 2 from both sides )
7x = - 7 ( divide both sides by 7 )
x = - 1
solution is x = - 1, y = 1