Answer:
Part A
The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1
Part B
It would take Lara 18 hours to clean the tank if she works by herself
Step-by-step explanation:
Part A
The time it takes Kevin to clean an aquarium tank alone = 9 hours
The time it takes Kevin and Lara to clean the tank together = 6 hours
Let '1/x' represent Lara's cleaning rate, we have;
The time it would take Lara to clean 1 tank alone = 1/(1/x) = x
Kevin's cleaning rate, y = 1/9 tank per hour
The number of tanks, z = tank
The total time it takes both of them to clean the tank, t = 6 hours
Therefore, we get;
t × y + t × 1/x = z
When t = 6, y = 1/9, and z = 1, we get;
6 × (1/9) + 6·(1/x) = 1
Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;
6/9 + 6·(1/x) = 1
6/9 + 6/x = 1
Part B
Solving the rational equation gives;
1/x = (1 - 6/9)/6 = 1/18
∴ 1/x = 1/18)
∴ x = 18
The time it would take Lara to clean the tank if she worked by herself, x = 18 hours
What is an equation of the line through (-2, -4) with slope -2
Answer:
Y = -2x -4
NOTE: THE FORMULA IS Y=MX+C
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Answer:
y = - 2x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (- 2, - 4) into the partial equation
- 4 = 4 + c ⇒ c = - 4 - 4 = - 8
y = - 2x - 8 ← equation of line
Three consecutive integers numbers add up to -6. What are the numbers?
Answer:
-1, -2, and -3
Step-by-step explanation:
-1 + -2 + -3 = -6
like terms have the same _____ with the same _______
Answer:
like terms have the same VARIABLES with the same POWER
:)
Answer:
Variables; Powers
Step-by-step explanation:
Like terms have the same variables with the same powers. Eg:-
[tex]3 {x}^{2} \: and \: 9 {x}^{2} [/tex]
These are like terms as they both have the same variables and powers
Harold is on the diving team at school. The platform he uses is about 5 yards above the pool. On his best dive, he jumps an extra foot in the air before doing a flip. How many feet is he from the pool at the highest point of his jump?
Answer:
16 feet because 5 yards is equaled to 15 feet and then add the extra foot he uses to jump
Step-by-step explanation:
There are 10 people at the gym, and 8 of those people are running. What
fraction of the people are running?
Answer:
Step-by-step explanation:
8/10 is the fraction of people running and people in gym which is 80/100
80%
will give u brainliest!
plz help me out
Answer:
The third one i think
Step-by-step explanation:
Answer:
its the 4th one, the onlyone that makes sense
Step-by-step explanation:
the 3rd one cant since a function always had one input for every output
To find the total cost ( c ), substitute the value of (p) you just found, 285.7 , into one of the equations in the system
Answer:
c = 214.28 OR 214.275
Step-by-step explanation:
You could do c = 0.75(285.7) and you would get c = 214.275
help me on homework. Explian the steps to get the answer
Answer:
$3.50
Step-by-step explanation:
1) 4 friends each bought a movie ticket = 7.50 * 4 = 30
2) subtract from total cost = 58 - 30 = 28
4) total number of candy boxes is 8 (because each friend bought 2 boxes so 4*2 is 8) = 28/8 = 3.5
5) money so = $3 dollars and 50 cents
Write the following numbers in ascending order (from smallest to largest): 1.2, 3%, 3/5, 0.3, and -1 1/3.
Answer:
-1 1/3, 0.3, 1.2, 3/5, 3,
Step-by-step explanation:
Hope I helped, can I plz have brainliest, ive never gotten one before!
A line intersects the point (-11, 4) and has a slope of -2. What are the inputs to the point-slope formula? y - [?] = [](x-[])
y - 4 = -2 ( x - ( -11)) which would simplify to y - 4 = -2 ( x + 11) !!
Can someone help me out ??
Answer:
x = 3
LP = 3.5
Step-by-step explanation:
JK and LK are chords of the circle each of 7 units long.
Therefore,
JK = LK
Equal chords are equidistant from the center of the circle.
So,
PS = NS
4x - 6 = 6
4x = 6 + 6
4x = 12
x = 12/4
x = 3
LP = LK/2 ( Perpendicular dropped from the center of the circle to the chord bisects the chord)
LP = 7/2
LP = 3.5 units
Exit Ticket Anyone Can help me?
Answer:
okay, so 1 1/6 can be converted to 7/6.
2 3/8 can be converted to 19/8
now find a common denominator, which is 24
7/6 would turn into 28/24
19/8 would turn into 57/24
now add! 28+57= 85/24
85/24
Step-by-step explanation:
please consider marking me as brainliest, my answer took alot of time and I am trying to rank up! have a great day lovely!!
what is the square root of 49/64?
Answer:
8/7
Step-by-step explanation:
mark me brainliest
Answer:
49/64
= √49/√64
= √ (49/64)
= 7/8
A factory uses 7/10 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3 1/2 barrels of raisins. How many batches of granola bars did the factory make yesterday?
Answer:
5
Step-by-step explanation:
first, change the fractions to decimals (.7 and 3.5)
then, divide .7 by 3.5 to get 5
3.5 ÷ .7 = 5
Rectangle QUAD has coordinates Q(0,0), U(0,2), A(7,3), and D(7,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U '?
Answer:
U': (0 , 12)
Step-by-step explanation:
(0 , 2) -> (0*6, 2*6) -> (0 , 12)
Plz help I need these answers I don’t understand
Answer:
1. B
2. C
3. A
4. D
5. C
Step-by-step explanation:
Answer:Hx5, K-9, P-5, Z-8, Ux5+8
Step-by-step explanation:
In a group of 100 students, 60 are freshman, 55 are female, and 22 are female freshman. Find the probability that a student picked from this group at random is either a freshman or female
Answer:
93/100
Step-by-step explanation:
In a group of 100 students, 60 are freshman, 55 are female, and 22 are female freshman. Find the probability that a student picked from this group at random is either a freshman or female
Number of Freshman = 60
Number of female = 55
Number of Freshman female 22
Total number of students = 100
The probability that a student picked from this group at random is either a freshman or female
Thus P(freshman or female) = 60/100 + 55/100 - 22/100 = 93/100
In right triangle XYZ, angle Y is a right angle. What is the relationship between angles X and Z? What is the relationship between sin X and cos Z?
a) Angles X and Z are supplementary, and sin X= cos Z
b) Angles X and Z are complementary, and sin X= cos Z
c) Angles X and Z are supplementary, and sin X= 1 - cos Z
d) Angles X and Z are complementary, and sin X= 1 - cos Z
Answer:
B
Step-by-step explanation:
The angles of X and Z are supplementary and sinX and cosZ will be the same hence, option (b) will be correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
Given that in triangle Y is 90° since in any triangle sum of all three angles will be 180° so remaining angle Z and Y will be total of 90° hence these will be complementary.
In right angle triangle sinX = cosZ because the perpendicular for X act like a base for Y.
For more information about the trigonometric function
brainly.com/question/1143565
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A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?
a) -5
b) 0
c) 1
d) 6
Answer: c
Step-by-step explanation:
Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate.
Answer:
Step-by-step explanation:
590 cal × (1 hr)/(236 cal) = 2.5 hr
Solve for the missing angle(Geometry)
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]
Hypotenuse ( h ) = 8base ( b ) = 5✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: F \: I \: N \: D}}}} : [/tex]
Value of x °✧ [tex] \underline{ \underline{ \large{ \tt{L \: E \: T\:' S \: \: S \: O \: L \: V \: E}}}} : [/tex]
[tex] \large{ \tt{ \cos( \theta) = \frac{b}{h}}} [/tex]
⇢ [tex] \large{ \tt{cos \: x = \frac{5}{8}}} [/tex]
⇢ [tex] \large{ \tt{x \ = {cos}^{ - 1} ( \frac{5}{8} )}}[/tex]
⇢ [tex] \large{ \tt{x \: = \boxed{ \tt{0.99 \degree}}}}[/tex]
☥ [tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \underline{ \tt{0.99 \degree}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer! ツ
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
51.32°=x°
Step-by-step explanation:
relationship between base and hypotenuse is given by cos angle
cos x=b/h
x=cos-¹(5/8)=51.318
Joy recorded the distances she walked each day for six days. How far did she walk in 6 days? Enter your answer as a mixed number in simplest form.
Answer:
[tex]2\frac{1}{6}[/tex]
Step-by-step explanation:
The question is not complete, but I would show how to solve a similar question.
Joy recorded the distances she walked each day for five days. How far did she walk in 5 days?
Solution:
We can see that Joy distance is recorded in the dot plot. From the dot plot, we can see that she walked 1/3 miles each day for three days, 1/2 miles for one day and 2/3 miles for one day. Therefore, to get the total distance walked, we just have to sum the individual distance that she walked each day. Hence the total distance is given as:
[tex]Total \ distance=\frac{1}{3} +\frac{1}{3} +\frac{1}{3}+ \frac{1}{2}+ \frac{2}{3} =\frac{13}{6}=2\frac{1}{6}[/tex]
La raíz de un número real negativo existe en los reales si y sólo si su índice es:
negativo impar
positivo par
impar
par
real positivo
Respuesta:
C) impar
Explicación paso a paso:
Solo se puede con un índice impar, ya que al ser negativo su solución no existe en los reales si tiene índice par
Bob swam a total of 250
meters on Monday and
Tuesday. On Tuesday, the
number of meters he swam
was 30 less than 3 times the
amount he swam on
Monday. How many meters
did Bob swim on Monday?
Answer:
i think 220
Step-by-step explanation:
because if he swim 250 then 30 less it would be 220
5304637-2951874 division
Step-by-step explanation:
5304637_2951874
=2352763
2352763÷2
=1176381.5
Diana paid for her food, plus half the cost of the pizza and half the tip. What was the total amount Diana paid?
Answer well how much does she pay for the pizza and the tip???
/
ep-by-step explanation:
Which shows the solution to the equation x² = 121? Select all that apply.
A. 11
B. 12
C. -11
D. -12
35° (14x + 5)° solution
Answer:
490 + 175
Step-by-step explanation:
35(14+5)
35x14x=490x
35x5=175
490 + 175 = 665x
The circumference of the hub cap of a tire is 73.79 centimeters. Find the area of this hub cap. Use 3.14 for π. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
The area of this hub cap is about __ square centimeters.
Answer:
433.5 cm²
Step-by-step explanation:
The formula for circumference is C = 2πr, where r is the radius.
Here, C = 2πr = 73.79 cm. Solving this for the radius, r, we get:
73.79 cm
r = ---------------- = 11.75 cm
2(3.14)
Then the area of the hubcap is A = πr², or, in this case,
A = 3.14(11.75 cm)² = 433.5 cm²
Answer:
simple answer (and rounded for u) = 434 centimeters squared! hope it helps peeps
Step-by-step explanation:
The length of a rectangle is 2 inches less than three times its width. If the perimeter of the rectangle is 108 inches, find its length and width.
Answer:
the length is 40 inches
the width is 14 inches
Step-by-step explanation:
We start by representation with variables
let l be the length and w the width
Length l is 2 inches less than 3 times width (3w)
l = 3w-2 ••••(i)
Mathematically,
we have the perimeter calculated as follows;
P = 2(l + w)
2(l + w) = 108
l + w = 108/2
l + w = 54 ••••••(ii)
Substitute equation i into ii
3w-2 + w = 54
4w = 54 + 2
4w = 56
w = 56/4
w = 14
Recall;
l + w = 54
14 + l = 54
l = 54-14
l = 40 inches