Answer:
9 hours
Step-by-step explanation:
"At the same rate" means time and wages are proportional.
time/wages = t/$108 = (13 h)/$156
t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel
t = 9 h
Chang would have to work 9 hours to make $108.
find three consecutive numbers if their sum is 3n
Answer:
n-1,n,n+1
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=3n
3x+3=3n
3x=3n-3
x=1/3 (3n-3)=n-1
so mumbers are n-1,n,n+1
The three consecutive numbers are n-1, n, and n+1.
We have to determine, the three consecutive numbers if their sum is 3n.
According to the question,
The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Let, the three consecutive numbers be x, x+1, and x+2.
The sum of three consecutive numbers is equal to 33.
[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]
Therefore,
The first consecutive number is,
[tex]\rm x = n-1[/tex]
The second consecutive number is,
[tex]\rm x+1 = n-1+1 = n\\[/tex]
The third consecutive number is,
[tex]\rm x+2= n-1+2 = n+1\\[/tex]
Hence, The three consecutive numbers are n-1, n, and n+1.
For more details refer to the link given below.
https://brainly.com/question/16048559
Area of rectangle and triangles!! HELP ASAPPP
Answer:
13. 15
14. 7.25
15. 18.7
16. 40.515
17. 9.6
18. 12.95
19. 20.4
20. 16.2
21. 24
22. 25.65
I NEED HELP ASAP
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover. 5 liters of paint can cover a wall with an area of 75 square feet.
a) What is the constant of proportionality? Tell how you found it.
b) Write an equation relating V and A.
c) How much paint would be needed to cover an area of 180 square feet? Show your work.
Whoever answers me correctly first will get extra points after this!
Hey! I believe this is the answer you're looking for:
https://brainly.com/question/16663256
Step-by-step explanation:
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.
This is written as:
\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}
(a)5 liters of paint can cover a wall with an area of 75 square feet.
V=5 liters, A=75 square feet.
Substitution into V=kA
5=75k
k=5/75
\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151
(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA
The equation relating V and A is:
V=\frac{1}{15}AV=151A
(c)If A=180 Square feet
Volume of paint needed,
\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}
which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2
1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)
===========================================================
Explanation:
Lets go through the points one by one
So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality
[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]
We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.
[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]
That's also true. Therefore, the point (5,3) is a solution to the system overall.
Your teacher wants you to find a non-solution, so we must cross choice A off the list.
---------------------
Let's now try choice B. We have x = 4 and y = 3
[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]
That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.
How many centimeters in 3.9 meters?
Step-by-step explanation:
hope this help you ......
Finding the Area of a Triangle
Calculate the area of the triangle:
A=
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Translate this sentence into a equation. 70 is the product of Delilah‘s age and 5. use the variables d to represents Delilah’s age
Answer:
Step-by-step explanation:
i dont know.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
$8.00
Step-by-step explanation:
20% of 44.85=8.97
thats the closest to 8.00
Answer:
the answer is 9 dollars cuz the real answer is $8.97 and round to the nearest whole the answer is 9
Step-by-step explanation:
Solve for x
−4x+60<72 OR 14x+11<-31
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
easy problem nice about of points
Answer:
1
Step-by-step explanation: i am not sure
Answer the following.
1 Bharat borrows a certain sum of money at
5% pa. If he pays 2000 as simple interest
at the end of the first year, find the sum he
borrowed
Answer:
40000
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the amount borrowed , R is the interest and T the time in years
Here I = 2000 , R = 5 and T = 1 with P to be found , then
2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )
5P = 200000 ( divide both sides by 5 )
P = 40000
Answer:
The sum (Principal) is Rs.4000.
Step-by-step explanation:
Given :
Simple interest = Rs.2000Time = 5% per annum Time = 1 yearTo Find :
PrincipleUsing Formula :
[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]
S.I = Simple Interest P = Principle R = Rate T = TimeSolution :
Substituting all the given values in the formula to find the Simple Interest :
[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]
[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]
Hence, the sum Bharat borrowed is Rs.40000.
[tex] \rule{190}1[/tex]
Amy went to the store and bought 5 shirts that cost $10.59 each. She gave the cashier $60. How much change did she get back?
pls help and please show how you got it pls
Answer:
The answer is $7.05.
Hope it helps.
Step-by-step explanation:
Okay so Amy bought 5 shirts for $10.59 EACH.
So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.
So Amy gets $7.05 change back.
From the observation deck of a skyscraper, Jamal measures a 51° angle of depression
to a ship in the harbor below. If the observation deck is 1123 feet high, what is the
horizontal distance from the base of the skyscraper out to the ship? Round your
answer to the nearest hundredth of a foot if necessary.
Answer:
Your answer is 909.39 feet
Step-by-step explanation:
Write an equation for the graph.
Answer: y=5/3x+3
Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation
George and Marylin were both given the following example to complete on their
exam:
(152 +122-24x)
3.x
Below is each of their answers:
George
Marylin
(15x' +12° -24x)
3.x
(158° +12r -24x)
Зr
5r? +4x-8
5x +4x? - 8x
Which student is correct?
Explain the mistake that the other student made (Be detailed in your answer)
Answer:
this is not my level of math sorry i cant help you :(
Step-by-step explanation:
sorry
Realiza los desplazamientos de las figuras como se indican y contesta
Para desplazar o trasladar una figura siempre mueva la figura de acuerdo al ángulo o distancia indicado sin modificar el tamaño o características de la figura.
¿Qué significa desplazar una figura?El desplazamiento o traslación de una figura implica el desplazamiento de la figura de acuerdo a un ángulo determinado o distancia.
Este desplazamiento generalmente cambia la posición de la figura pero nunca debe cambiar:
El tamaño de la figura.Los ángulos o lados de la figura.Las características de la figura.¿Cómo trasladar una figura?Determine la dirección, ángulo o distancia en la que tiene que mover la figura, por ejemplo, trasladar la figura 5 cm hacia la derecha.Dibuje la figura en la nueva posición asegurándose con el uso de una regla u otras herramientas que la figura no cambie.Nota: Esta pregunta esta incompleta porque no hay información sobre las figuras que se deben trasladar ni las preguntas a responder, por está razón respondí la pregunta basado en conocimiento general.
Aprenda más sobre figuras en: https://brainly.com/question/14982752
A pump moves 360 gallons in 1 hour. How many gallons can be moved in 1 minute?
Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)
[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]
Thanks so very much!!
Answer:
yw
Step-by-step explanation:
Solve for y. 4/7 y + 2/7 = 6
A) y = 20
B) y = -10
C) y = 10
Answer:
C) y = 10
Step-by-step explanation:
Subtract 2/7 from each side
4/7y = 40/7
Divide both sides by 4/7 (Multiply by 7/4)
y = 10
Answer:
C) y=10
Step-by-step explanation:
4/7y+2/7=6
7(4/7y+2/7)=7(6)
4y+2=42
4y=42-2
4y=40
y=40/4
y=10
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
Find the length of side x to the nearest tenth.
300
x
1
60°
Answer:
x=65
Step-by-step explanation:
A dog's leash is tied to a pole while the owners go into a restaurant to get the dog
some water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-
circle, how many feet can he walk if he extends the leash as far as it can go? Round
your answer to the nearest foot, and enter the number only.
Answer:
22 feet.
Step-by-step explanation:
Arc Length= Ø / 360 degrees * 2pir
(2pir = 2 * pi * radius)
Given: r = 7 feet
Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2
Arc length: 1/2*2pi*7 = 21.99 ft
22 ft when rounded!
The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
What is the length of the arc of the circle?The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.
Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.
The length of the arc will be calculated as below:-
Arc Length= Ø / 360 degrees * 2pir
(2πr = 2x π x radius)
r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2
Arc length = 1/2 x 2 π x 7 = 21.99 ft
Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
To know more about the length of the arc of the circle follow
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#SPJ5
frEE po ints
Lets say you own a ferret store and you have 20,female ferrets worth $400 and 2, male ferrets worth 350 dollar ferrets. you sell 1male ferret and 8 female ferrets how much money do you get from the sellings?
pt.b
your store gets robbed and you loose 800 dollars worth of female ferrets and 350bucks worth of male ferrets how many ferrets do you have in still have in toatal?
Answer:
Part A, 3550$
Part B, Ten female ferrets left
Step-by-step explanation:
Find the measure of the missing angle
Please help me, I’ll give you points
Answer:
a = 28°
Step-by-step explanation:
62°+a° = 90°
a = 90 - 62
a = 28°
Answer:
∠A = 28°Step-by-step explanation:
Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.
=> 62 + ∠A = 90°=> ∠A = 90 - 62=> ∠A = 28°Conclusion:
Therefore, the measure of the missing angle is 28°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Which point is located at (Negative 1, 1 and one-fourth)? A B C D
Answer:
Point A
Step-by-step explanation:
Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.
Hope this helps!
At a football game.120 tickets were solf and the concession stand sales were 600. The next week. 150 tickets were sold and the concession stand cells were $750. write a linear equation to represent this situation. How much would u expect the stand ti make if only 90 tickets sold
Answer:
450$
Step-by-step explanation:
PLS HELPPPPPPPPPPPPPPPPPPPPPPP
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Evalute the expression X=6 y=-4 -3y+x
Answer:
y= 1/2
Step-by-step explanation:
y=-4 -3y+x
<=> y + 3y = -4 + x
<=> 4y = -4 + 6
<=> 4y = 2
<=> y = 1/2