A water tank holds 693 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 924 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
Simple....
you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.
Set up both the equations....
In y=mx+b form--->>>
y=-3x+256
y=-5x+384
To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)
-3x+256=-5x+384
-3x+256=-5x+384
-256 -256
-3x=-5x+128
-3x=-5x+128
+5x+5x
2x=128
x=64
After 64 weeks the amount of water in both tanks will be the same.
Thus, your answer.
A migrating bird flies 42 miles in 3 hours. How many miles does it fly in 5 hours?
Answer:
70 miles.
Step-by-step explanation:
In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.
Solution:
Firstly we need to find out what distance will the bird travel in 1 hour. We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get
[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]
Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...
[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]
And we get that the bird will travel 70 miles in 5 hours.
If ∆ and ∆ are two triangles such that ∠ ≅ ∠, which of the following
would be sufficient to prove the triangles are similar?
Step-by-step explanation:
If angles are equal then sides will also be equal.
Cause: Equal angles have equal sides.
You can then prove them by using SAS, SSS ASA, AAS
There are 5 roses for every 9 carnations in a bouquet. Mr.Rodriguez buys a bouquet with 42 flowers in it. How many carnations are in the bouquet Mr.Rodriguez bought?
Answer:
I think its eight but I could be wrong
Answer:
27
Step-by-step explanation:
i dont know how to describe what i did but it is correct
A coffee shop worker is putting 18 pounds of coffee into 0.25-pound bags. How many small bags of coffee can the worker make?
Answer:
72 lb bags
Step-by-step explanation:
18 / 0.25 = 72 bags :D
please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?
Answer:
its associative property
Step-by-step explanation:
2+d=2+d
d=2
complete each number sentence by choosing >, <, or =
14 - (5 +3) , (14 -5) + 3
(1 + 6) + 9 , 1 + (6 +9)
17 - (8+4) , 17 - 8 + 4
Answer:
14 - (5 +3) < (14 -5) + 3 <
14 - 8 9+3
(1 + 6) + 9 = 1 + (6 +9) =
17 - (8+4) < 17 - 8 + 4 <
-5 12
Step-by-step explanation:
show work for brainliest.
find the equation for the parabola with vertex (4,6) and focus (4,9) .
Answer:
Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.
Vertex form: y=(x−4)212+6y=(x−4)212+6.
No intercept form.
Vertex: (4,6)(4,6).
Focus: (4,9)(4,9).
Eccentricity: 11.
Directrix: y=3y=3.
Latus rectum: y=9y=9.
The length of the latus rectum: 1212.
Axis of symmetry:
Step-by-step explanation:
from parabola calculator-eMathHelp
I hope it helps.
Help me answer b. c. I need help:(
Answer:I dont knwo the answer
Step-by-step explanation:tell em
Answer:
C
Step-by-step explanation:
I got it right
HELP!!! ASAP!!! WILL MARK BRANLIST!!!!!
Answer:
It's me again!!
It's A or the one u clicked on
Step-by-step explanation:
because (2^3)-5 eqeuals 1/32768
and 1/2^15 equals to 1/32768
For the sequence an
4n + 7, which term number is 335?
Tyler runs 8 miles and it takes him 64 minutes. How many miles can he run in 20 minutes?
Answer:
2.5 miles
Step-by-step explanation:
64/8=20/x
8=20/x
*x *x
8x=20
/8 /8
x=20/8
x=5/2 or 2.5
please please help i’ll give brainliest please tysm :))
Answer:
36 is the answer for this problem
Answer:
36
Step-by-step explanation:
it is multiplying by 6
1*6=6
6*6=36
30*6=160
Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution
The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation 3x + 2 - x = 11x + 9.
The first step would be subraction property of equality.
We'll subtract 2 from each side of the equation.
3x + 2 - x - 2 = 11x + 9 - 2.
3x - x = 11x + 7.
We choose subraction property of equality to separate the vriables and the constants.
learn more about subtraction property of equality here :
https://brainly.com/question/29182336
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Which pair of angles shares ray as a common side?
Answer:
Step-by-step explanation:
adjacent angles share a ray
they also have a common vertex
I need help ASAP with questions 3-7 plz show steps I will also mark brainliest
Answer:
.
Step-by-step explanation:
.
My daily point give away!!! What is ten times 30 minus 1
Answer:
29!
Step-by-step explanation:
tysm!
Answer:
10×30-1=299
Step-by-step explanation:
10×30=300
300-1=299
thx
SOMEONE PLEASE HELP ME
Answer:
x=5 y=38
Step-by-step explanation:
180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38
Answer:
y=−3x+83
x= −1 /3 y+ 83 /3
Step-by-step explanation:
right angles=90
triangles=180 degrees
180=3x+y+7+90
solve for x
3x+y+97=180
Add -y to both sides
3x+y+97+−y=180+−y
3x+97=−y+180
Add -97 to both sides
3x+97+−97=−y+180+−97
3x=−y+83
Divide by 3
x= −1 /3 y+ 83 /3
now solve for y
180=3x+y+7+90
Add -3x to both sides
3x+y+97+−3x=180+−3x
y+97=−3x+180
Add -97 to both sides
y+97+−97=−3x+180+−97
y=−3x+83
Alexander is a stockbroker he earns 11% commission each week last week he sold $7000 worth of stocks how much did he make last week in commission if he averages the same amount each week how much did he make in commission in 2011
Answer:
the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively
Step-by-step explanation:
The computation of the amount that he makes last week and in the year 2011 is as follows:
= Sale value of the stocks × earning percentage × number of weeks in a year
= $7,000 × 11% × 52 weeks
= $40,040
hence, the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively
We simply applied the above formula so that the correct value could come
And, the same is to be considered
5d-3+2d=4d+9. I need help can you help me solve this problem
Answer:
D=4
Step-by-step explanation:
Answer:
d=4
Step-by-step explanation:
5d - 3 +2d = 4d +9
7d-3=4d+9
-4d -4d
3d-3=9
+3 +3
3d=12
divide both sides by 3
d=4
What is the value of t?
40°
39°
Answer:41
Step-by-step explanation:
because the 49 degrees and t equal a right angle which is 90 degrees you subtract 49 from 90 which makes the remaining degree aka t 41
3. You are selling hot cocoa at an
amazing price of $0.80 a cup. You
want to make(earn) $ 48. How many
cups do you need to sell?
Answer:
you need to sell 60 cups
Step-by-step explanation:
48÷0.80= 60 cups
hope it helps!
please mark me brainliest
Can you answer this question
Answer:
5/6= 0.83333333333
4/15= 0.266666666
3/5= 0.6
1 &3/4 = 1.75
1/3= 0.33333333
4/1000= 0.004
so the ones that are repeating decimals are:
5/6 , 4/15, and 1/3
Step-by-step explanation:
what is 2% = in simplest form
Answer:
1/50
Step-by-step explanation:
Hope this helped have a nice day!
Sylvia bikes home along a straight road from her friend's house, a distance of 8 miles,
The graph shows her journey
Answer:
what is the question and what is the graph
Step-by-step explanation:
Drake is buying a new video game that costs $50 . If the sale tax rate is. 7.5% how much will frame pay in tax?
Answer:
he will pay 3.75 in tax
Step-by-step explanation:
first you do 50 times 0.075(which is 7.5%) to get your answer of 3.75
Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
To learn more about the quadratic function;
https://brainly.com/question/11485644
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The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
Number the steps for balancing equations:
Which expression is a sum of a number and a product?
A. 3 + 5x
B. 5 + x - 3
C. 5(x - 3)
D. 5x
Answer:
its a. rhejhdhrhrjdhr
8.
What is the area of a circle whose diameter is 10?
A.10 pi
B.20 pi
C.25 pi
D. 100 pi
Answer:
25 pi
Step-by-step explanation:
area of circle = pi (r)^2
radius = 10/2 = 5
5×5 = 25
25 pi
Answer:
C
Step-by-step explanation:
The formula is pi(r^2)
r=radius
=10/2