Answer:
The water level is rising because it is filling 10 more liters than it is draining
16.7 hours
Step-by-step explanation:
The rate at which the tank is filled and the rate at which the tank is draining
are constant.
Correct response;
The tank will start overflowing after 3 hours and 20 minutes. Method used to obtain the above response;Given:
Volume of water in the aquarium = 10,000 liters
Volume level at which the tank overflows = 12,000 liters
Level of the volume at which the fish get sick = 4,000 liters
Rate at which water enters the tank = 30 liter per minute
Rate at which the tank is draining the water = 20 liters per minute
Required;
The time it will take until the tank starts overflowing.
Solution:
Water that needs to be added to the tank before it begins to overflow = 12,000 liters - 10,000 liters = 2,000 liters
Let x represent the time after which the tank starts overflowing, the
(constant) rate of change function that gives the time it takes for the water
to overflow is therefore;
30·x - 20·x = 2,000
10·x = 2,000
x = 200 minutes = 3 hours and 20 minutes
The time it to overflow is 3 hours 20 minutes.Learn more about rate of change functions here:
https://brainly.com/question/20066447
How many solutions does the nonlinear system of equations graphed below
have?
c
A. Zero
B. Four
C. One
D. TWO
Answer: D two
Step-by-step explanation: They touch two times
A flower box measures 8 ft by 3 ft by 2 ft. Find the amount of soil that can fit in the box.
Answer: 48ft cubed (48ft^3)
Steps:
Volume- lwh
8 * 3 * 2
24 * 2 = 48
48ft^3 (48 feet cubed)
Part 1:Noah raised $54 to support the animal shelter, which is 60% of his fundraising goal. Write an equation to represent the situation.
Part 2:What is Noah's total fundraising goal? Show or explain how you found it.
PLS HELP
Answer:
54 60
----- = ------
x 100
goal is 90 dollars
Step-by-step explanation:
cross multiply then divide
divide 50 in the ratio of 2:3
Answer:
20, 30
Step-by-step explanation:
Ratio = 2 : 3
Total parts = 2 + 3 = 5
[tex]\frac{2}{5}*50= 2*10= 20\\\\\\\frac{3}{5}*50= 3 *10 = 30[/tex]
Answer:
20 : 30
Step-by-step explanation:
2x + 3x = 50
5x = 50
x = 50 ÷ 5
x = 10
Now we will add the value of x
2 x 10 : 3 x 10
20 : 30
Hope it is helpful....im so confused (please hurry and answer this is due soon
Answer:
its 12 :)
hope this helps you
geometry unit 5 homework 5
Answer:
Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?
I'm in Algebra 1 and I need help with this, (show all working as well please)
Answer:
Step-by-step explanation:
All you do is draw a line straight across 5x and then graph 1 which is right next to 5.
Add 6.1 and 51.24
What the answer please :)
Answer: 57.34
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=19°, and FG = 62 feet. Find the length of GE to the nearest tenth of a foot.
Answer:180.1 feet
Step-by-step explanation:
Using tan to find the answer; Opposite/Adjacent = 62/x
tan19=62/x
xtan19=62 (cross multiply)
xtan19/tan19=62/tan19 (Divide each side by tan19)
x=62/tan19=180.0611=180.1 feet
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
pls try to answer quickly
Answer:
137. 5
Step-by-step explanation:
Firstly you have to turn the mixed fraction into an improper fraction.
x/2/5 = 55/4
Now you multiply both sides by the denominators.
(5)(4) x/2/5 = 55/4 (5)(4)
2x = 275
137. 5
I need help on that question
Answer:
80√3
Step-by-step explanation:
here's your solution
=> First number is 4√5
=> Second number is 4√15
=> we need to find product
=> 4√5*4√15
=> 4*4 = 16
=> √5*√15. = √75
=> √75 = 5√3
=> now, multiple 5√3*16 = 80√3
hope it helps
please help me answer !!!!
Answer:
what are the options in the scroll down options
vjzgxv. vjvjcvjkv. vjvkvkkb
Which two ordered pairs satisfy the equation y = 3x + 2 ?
* (0, 2) and (2, 8)
(1, - 1) and (- 2, 8)
(0, 2) and (- 1, 1)
(2, 8) and (0, 5)
If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
What is the area of her figure? Use 3.14 for T. *
Nora draws a figure on a piece of paper as shown.
Answer:
nm,l
Step-by-step explanation:
help pls asap!!!!!!! brainliest!!!!!!
If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.
Fitz and 3 friends are at the amusement park. Each person buys a pretzel for $4, cotton candy for $3, and a drink for $1. Write an expression for the total and find the total cost.
What is the GCF of 4x^ 2 +6x
Answer:
The GCF of 4x^2 + 6x
is. (2x )
hope it helps
2x
2)
During a 500 minute car trip, Luke spent 74 minutes listening to his MP3 player, 56 minutes playing video games,
128 minutes watching a movie, and 38 minutes reading. The rest of the time he spent napping. If the time Luke
spent on these four activities is rounded to the nearest ten, about how many minutes did Luke spend napping?
A. 100 min.
B. 200 min.
C. 300 min.
D. 400 min.
Type here to search
O
9:28 PM
3/16/2021
DOLL
Answer:
B.) About 200 minutes napping
Step-by-step explanation:
74+56+128+38=296
500-296=204
204 is about 200
Please Help Will Give Brainlist
2a+2=6
Answer: 4a
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
2a + 2 = 6
2a + 2 - 2 = 6 - 2
2a = 4
2a / 2 = 4 / 2
a = 2
Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!
Show the fraction, decimal, and final percent for each. Round your percent to the
nearest whole.
66 out of 85 on a project
Answer:
66 to 70 and 85 to 90
Step-by-step explanation:
As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]
[tex]x = \dfrac{1150 \pm 350}{2}[/tex]
[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
Please help. I need to show the work.
Which algebraic expression is equivalent to 3 less than the sum of y and 5?
HELP!!!! PLZ!!!!!!
Find the values of a, b, and c for the equation in standard form (y=ax^2+bx+c) of the graph of the parabola shown below.
a =____________
b = ___________
c = ___________
Answer:
[tex] \boxed{ \boxed{ \mathfrak{a = - \frac{1}{2 } \: b = 2 \: c = 4}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:quadratic equationPEMDAStips and formulas:the parabola crosses f(x) at (4,0)the vertex of the parabola (2,6)vertex:(h,k)h=-b/2ak=f(x)vertex form:f(x)=a(x-h)²+kstandard form:ax²+bx+clet's solve:the vertex form of the equation is
[tex] \sf f(x) = a(x - 2 {)}^{2} + 6[/tex]let's figure out a
since the parabola crosses f(x) at (0,4)
therefore
[tex] \sf a(0 - {2)}^{2} + 6 = 4[/tex][tex] \sf simplify \: parentheses : \\ \sf a( - 2 {)}^{2} + 6 = 0[/tex][tex] \sf simplify \: squres : \\ \sf \: 4a + 6 = 4[/tex][tex] \sf cancel \: 6 \: from \: both \: sides : \\ \sf 4a + 6 - 6 = 4 - 6 \\ \sf 4a = - 2 [/tex][tex] \sf divide \: both \: sides \: by \: 4 : \\ \sf \frac{4a}{4} = - \frac{ 2}{4} \\ \sf a = - \frac{1}{2} [/tex]let's figure out b,c
we have to substitute the value of a into the vertex form and then simply it to get b and c[tex] \sf substitue \: the \: value \: of \: a \: into \: the \: vertex \: form \: of \: the \: equation : \\ \sf \frac{1}{2} (x - 2 {)}^{2} + 6[/tex][tex] \sf use \: (a - b {)}^{2} = {a}^{2} - 2ab + {b}^{2} \: to \: simplify \: the \: exponet : \\ \sf - \frac{1}{2} ( {x}^{2} - 2.x.2 + {2}^{2} ) + 6 \\ \sf - \frac{1}{2} ( {x}^{2} - 4x + 4) + 6[/tex][tex] \sf distribut e \: - \frac{1}{2} \: between \: the \: parentheses : \\ \sf - \frac{1}{2} x + 2x - 2 + 6[/tex][tex] \sf add : \\ \sf - \frac{1}{2} x + 2x + 4[/tex]therefore
[tex] \sf \: b = 2[/tex][tex] \sf \: c = 4[/tex2) What angle measurement will make the value of sine and cosine
equal?
A) 30°
B)
45°
C) 60°
D 90°
11) Five toonies form a stack that is 2/5 in high. What is the approximate value of a
stack of toonies that spans 100 mile?