Answer:
An equation to represent the situation would be:
[tex]y = 4x + 964[/tex]Step-by-step explanation:
Given that the water supply is losing 4 gallons of water every second.
It means the rate of change = 4 gallons per second
Given that after 15 seconds, the water level is at 1024 gallons.So the equation becomes
1024 = 4(15) + b
comparing with the slope-intercept form of the equation of a line
[tex]y = mx+b[/tex]
where m is the slope (rate of change) and b is the y-intercept
so
[tex]1024 = 4(15) + b[/tex]
[tex]1024 = 60 + b[/tex]
[tex]1024 - 60 = b[/tex]
[tex]b = 964[/tex]
So, the value of y-intercept i.e b=964
Thus, the equation will be
[tex]y = mx+b[/tex]
substituting the value rate of change i.e m = 4 and b=964
[tex]y = 4x + 964[/tex]
Therefore, an equation to represent the situation would be:
[tex]y = 4x + 964[/tex]Which set of ordered pairs represents a function? *
O {(1,8), (8, 1), (1,5), (5, 1)}
O {(2,1),(3,1),(4,3), (5,3)}
O {(5,1),(3, 8), (3,7), (7.1);
{(5,1),(5,6), (1,3), (9.7)}
The answer is the second choice.
There cannot be repetitive domains in one set. Therefore, all choices except the second choice have repetitive domains.
Thus, not making them a function but rather a relation instead for other choices. The only relation that is a function here is the second choice.
the second one because the x values should not have repeating numbers
Hanna Was Riding Her Bike For 11/12 Mile long. She Rode For 1/2 Mile And Then Stopped To Rest. She Rode Another 1/3 Mile And Then Had A Flat Tire. How Far Dose Hanna Have To Walk Her Bike To Complete The Loop?
Hanna have to walk her bike for 1/12 mile to complete the loop .
In the question , it is given that
distance Hanna had to ride to complete the loop = 11/12 mile
distance rode by Hanna before rest = 1/2 mile
distance rode by Hanna before flat tire = 1/3 mile
So the distance Hanna has to walk her bike to complete the loop = total distance of the loop - distance rode by Hanna before rest - distance rode by Hanna before flat tire .
On substituting the values from above we get ,
distance Hanna has to walk her bike to complete the loop = 11/12 - 1/2 - 1/3
taking the LCM of 12 , 2 and 3 as 12
we get ,
= 11/12 - 6/12 - 4/12
Simplifying further we get ,
= (11-6-4)/12
= (11-10)/12
= 1/12
Therefore , the distance Hanna have to walk her bike to complete the loop is 1/12 mile .
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what is the value of 81 3/2 ?
Answer:
82.5
Step-by-step explanation:
3/2 = 1.5
81+1.5=82.5
Find the slope of a line that contains the two points (-2,8) and (1,2)
Answer:
[tex]m = -2[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Points: (-2, 8), (1, 2)
[tex]m = \frac{8-2}{-2-1}[/tex]
[tex]m = -2[/tex]
F(x) = x^2+3; g(x) = square root of x-2 find f(g(x))
A rectangle with a width of 2.5 cm and a length of 3 cm is dlated by a scale factor of 4. Which statements about the new
rectangle are true? Check all that apply.
Answer:
Step-by-step explanation:
1 - 3 - 6 - 7
My assigned ratio is: 2:5 Give Two examples of ratios that are equivalent to my ratio:
Answer:
4:10 and 6:15 are equivalent to 2:5
What is a correct first step in solving the inequality -4(3-5x)>-6x+9?
Answer:
you would distribute the -4 into the parenthesis and the answer would be option D
Step-by-step explanation:
13d+8=-1
b=?
need answer
Answer:
d=[tex]\frac{-9}{13}[/tex]
Step-by-step explanation:
Original equation: 13d+8=-1
1. Subtract 8 from both sides of the equation to get:
13d=-9
2. Divide both sides by 13 to get:
d=[tex]\frac{-9}{13}[/tex]
Answer:
-9/13
Step-by-step explanation:
i took the iready quiz
If you take a number, times by 5 then subtract 9. You get the same as if you took the number, times by 4 then add 1. What is the number?
Answer: 7
Step-by-step explanation:
Answer:
Let number be x
5x + 9= 4x + 1
5x - 4x = - 9 + 1
x = - 8
Shondra is counting the money in the cash register at the end of her shift. All that is left to count are $5 bills and $10 bills. There are 32 bills in the stack and they are worth $220. How many of each denomination did she have?
Let x represent the number of $5 bills and let y represent the number of $10 bills.
Choose the 2 equations that would best represent this scenario and select the correct solution from the drop down list. You will select 3 answers in total.
Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so
x + y = 32
In terms of value, there is a total of $220. The equation for it is
5x + 10y = 220
The 2 equations which best represent the scenario are
x + y = 32 (I)
5x + 10y = 220 (II)
To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is
1) Multiply (I) by -5:
-5x - 5y = -160 (III)
2) Add equation (III) to equation (II):
-5x - 5y = -160
5x + 10y = 220
0x + 5y = 60 (IV)
3) Solve equation (IV)
5y = 60
y = 12
4) Replace value of y in equation (I) and find value of x:
x + 12 = 32
x = 20
In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.
Answer: x=20 and y=12
Step-by-step explanation:
Bella has $1,200 in her bank account. She wrote a check to pay her rent for $975.25. Then, she deposits $105 into the account. What is the balance of her account?
Answer:
The balance in her account is $329.75
What is the m∠L?
54°
52°
40°
45°
42/12 - 85/25 + 117/30
Answer:
the answer is 4 it think it is correct
Answer:
4
Step-by-step explanation:
42/12=7/2
85/25=17/5
117/30=39/10
So
7/2-17/5+39/10
35-34+39/10
40/10
4
Which multiplication expression is equal to 1/4÷1/3?
A.1/4×1/3
B.1/4×3/1
C.4/1×1/3
D.4/1×3/1
Answer:
1/4 × 3/1
To divide by a fraction you have to multiply by the inverse of the second fraction.
Whats The Answer Marking Brainliest, Please explain your answer:D...................
Answer:
10/19
Step-by-step explanation:
the question is asking you for the amount of time that Tia spends playing the computer to the amount of time that she spends playing outside.
she spends 10 minutes playing on the computer
she spends 19 minutes playing outside
therefore it is 10:19 or 10/19 or 10 to 19
what is [tex]\frac{7}{200}[/tex] as a decimal
7/200 as a decimal is 0.035
Step-by-step explanation:Simply divide the numerator by the denominator:
= 7/200
= 7 ÷ 200
= 0.035
p=a+b+c solve for a
please help
Answer:
a=p-b-c
Step-by-step explanation:
p=a+b+c
a=p-b-c
In the figure below, ∆ABC ~ ∆QRS.
If AB = 50, AC = 60, QS = 6, find QR.
Write a proportion and solve.
QR = ?
QS/AC=6/60=1/10
QR/AB=QR/50=1/10
QR=5
SO THAT TRIANGLE ABC IS EQUAL TO TRIANGLE QRS(2SIDES PROPORTIONAL.INC. ANGLE)
Answer:
QR = 5
Step-by-step explanation:
It's given that ∆ABC ~ ∆QRS. As both of them are similar , the ratio of corresponding sides of both triangles will be proportional to each other.
[tex] \frac{AB}{QR} = \frac{BC}{RS} = \frac{AC}{QS} [/tex]
AB = 50 ; AC = 60 ; QS = 6
From the above proportion ,
[tex] \frac{AB}{QR}= \frac{AC}{QS}[/tex]
Putting all the values ,
[tex] \frac{50}{QR} = \frac{60}{6} [/tex]
[tex] = > \frac{50}{QR} = 10[/tex]
[tex] = > QR = \frac{50}{10} = 5[/tex]
Find the area of this parallelogram please help!!
PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth
Answer:
Step-by-step explanation:
We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.
Answer:
D.) x = 5.29
Step-by-step explanation:
first find the last angle measure 180-90-54=36
use law of sines to find x
sin90/9=sin36/x
(sin90)(x) = (sin36)(9)
(sin90)(x) = 5.29
x = 5.29
what is the equation for the image graph
reflect f(x) = x² +1 over y axis
Answer:
= 25
Step-by-step explanation:
solve the equation and answer it
Sally has 42 cookies . She wants to eat some and share some with her class. If she hopes to share at least 35 of them with her class, how many cookies can she eat?
Answer:
1.2 please tell me if im wrong
Step-by-step explanation:
For dinner, jerry had a double cheeseburger and one order of medium fries totalalling 1200 calories. Joe has two double cheeseburgers and one medium fry totalling 1260 calories. How many callories are in one cheeseburger and medium frys
Answer: See explanation
Step-by-step explanation:
Let the number of callories that are in one cheeseburger be = x
Let the number of calories that are in one medium frys be = y
Therefore, the question can be formed into an expression as:
Jerry = 1x + 1y = 1200
Joe = 2x + 1y = 1260
x + y = 1200 ....... i
2x + y = 1260 ....... ok
Subtract equation i from ii
x = 60
Therefore, number of callories that are in one cheeseburger is 60 calories
Since x + y = 1200
60 + y = 1200
y = 1200 - 60
y = 1140 calories
The number of calories that are in one medium frys is 1140 calories
Anyone wanna help me do this because I’m not understanding how this works
Answer:
its b .
Step-by-step explanation:
Isaac buys eggs and apples at the store. .He pays a total of $24.26. • He pays a total of $4.36 for the eggs. • He buys 5 bags of apples that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of apples costs. Equation: Answer: x = Submit Answer
The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Isaac buys eggs and apples at the store. He pays a total of $24.26. He pays a total of $4.36 for the eggs. He buys 5 bags of apples that each cost the same amount.
Let x be the cost of each bag of apples. Then the equation is given as,
5x + 4.36 = 24.26
Simplify the equation, then we have
5x = 24.26 - 4.36
5x = 19.90
x = 19.90 / 5
x = $3.98
The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.
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Brennan earns $14.50 each week for walking his neighbor's dog. He earns $18 each week for mowing another neighbor's lawn. How much money will Brennan earn in 5 weeks?
Answer:
$162.50
Step-by-step explanation:
X = (14.50*5) + (18*5)
x = 72.50 + 90
x = 162.50
|
-6y + 4x = 8
Slove for y
Answer:
y = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
-6y + 4x = 8 Subtract 4x from both sides of the equation
-6y = -4x + 8 Divide everything by -6
y = [tex]\frac{2}{3 }[/tex]x - [tex]\frac{4}{3}[/tex]
Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?
How much does it cost per game?
Janine has $45. She plans to spend $70. Her father gives her $10. How much money does she need to borrow from her sister?
Answer:
i think -15 would be ur answer
Step-by-step explanation:
subtract 70 and 55 and u should get -15 if its right