A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
54
Step-by-step explanation:
216 - 3x = 324 -5x
subtract 216 from both sides
add 5x to both sides
divide both sides by 2x.
If 5 shirts and 5 sweaters cost $205, and 6 shirts and 9 sweaters cost $294, what is the cost of one shirt and what is the
cost of one sweater?
Answer:
one shirt 25.00 one sweater 16.00
Step-by-step explanation:
$\text{one shirt: }\$25,\text{ one sweater: }\$16$
Let x be the cost of one shirt and y be the cost of one sweater; then
5x+5y6x+9y=205=294
The augmented matrix for this system of equations is
[5659205294]
Using Gaussian elimination, divide row one by 5 to get
[161941294]
Multiply row one by −6 and add the result to row two to get
[10134148]
Divide row two by 3 to get
[10114116]
After back substitution, y=16 and x=25.
The cost of one shirt is $25 and cost of sweater is $16.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the cost of one shirt and y be the cost of sweater.
5 shirts and 5 sweaters cost $205
5x+5y=205...(1)
6 shirts and 9 sweaters cost $294
6x+9y=294...(2)
Multiply equation (1) with 6 and equation (2) with 5.
30x+30y=1230..(3)
30x+45y=1470...(4)
Subtract 3 and 4
30y-45y=1230-1470
-15y = -240
Divide both sides by 15
y=240/15
y=16
Now plug in y value in any of the equation
5x+16(5)=205
5x + 80 = 205
5x = 125
Divide both sides by 5
x=25
Hence, the cost of one shirt is $25 and cost of sweater is $16.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
after adding 45% to a number we get 507.5 what was the number?
Answer:
The number is x = 507.05
Step-by-step explanation:
Step(i):-
Let 'x ' be the number
Given that adding 45% to a number and we get 507.5
Now, it can be written as
x + 45% = 507.5
Step(ii):-
The equation
x + 0.45 = 507.5
subtracting '0.45' on both sides, we get
x = 507.5 - 0.45
x = 507.05
Final answer:-
The number is x = 507.05
gallon of
2
17. Mr. Jackson owns a vegetable juice stand. At the end of the day, he has
juice left. He pours an equal amount of the remaining juice mixture into 6 glasses.
What amount of juice does Mr. Jackson pour into each glass?
1
A.
gallon
12
B.
1
3
gallon
C. 3 gallons
D. 12 gallons
Answer:
12 gallons
Step-by-step explanation:
4
Which polynomial has the highest degree?
A 3x12 - 2x + x5
B 8x - 200
© 15x3 + 3x2 - 10
D 150x3
Answer: A. [tex]3x^{12} - 2x + x^5[/tex]
Step-by-step explanation:
The degree in a polynomial is the greatest exponent of any term in that expression.A. [tex]3x^{12} - 2x + x^5[/tex]
Here, highest exponent = 12
Degree of polynomial =12
B. 8x-200
Here, highest exponent = 1
Degree of polynomial =1
C. [tex]15x^3 + 3x^2 - 10[/tex]
Here, highest exponent = 3
Degree of polynomial =3
D. [tex]150x^3[/tex]
Here, highest exponent = 3
Degree of polynomial =3
Option A. has the polynomial with the highest degree as 12.
Answer:
A. 3x12 - 2x + x5
Step-by-step explanation:
Hope this helps
Pls awnser I will give brainliest
9514 1404 393
Answer:
C. 22/7
Step-by-step explanation:
You may be aware that 22/7 is a value used to approximate π almost as often as is 3.14.
__
In case you actually want to carry out the calculations, you have ...
C = πd
π = C/d
π ≈ (60 3/50)/(19 11/100) = (3003/50)/(1911/100) = 6006/1911 = 22/7
π ≈ 77/(24 1/2) = 77/(49/2) = 22/7
π ≈ (86 9/10)/(27 13/20) = (869/10)/(553/20) = 1738/553 = 22/7
π ≈ 99/(31 1/2) = 99/(63/2) = 22/7
What is the solution to 9 x 9?
Answer:
81
Step-by-step explanation:
dude, it's one of the fast facts
Answer:
81
Step-by-step explanation:
We can round one of the 9's to ten then multiply it
9*10=90
then subtract the 9 that we added
90-9=81
CosB = 13/33 for which of the following
triangles?
Answer:
A
Step-by-step explanation:
they tell me what came out
The triangle for which Cos B = 13/33 is triangle D.
The given triangle is a right triangle. In order to use Cos B, the value of the adjacent side and the hypotenuse has to be known. The adjacent side is the side that is adjacent to angle B. The hypotenuse is the longest side of the triangle.
Triangle A: cos b = adjacent / hypotenuse
hypotenuse = √13² + 33² = 35.5
Cos B = 13 / 35.5
Triangle B: cos b = adjacent / hypotenuse
hypotenuse = √13² + 33² = 35.5
Cos B = 33 / 35.5
Triangle C: cos b = adjacent / hypotenuse
Adjacent = √33² - 13² = 30.3
Cos B = 30.3 / 33
Triangle D: cos b = adjacent / hypotenuse = 13/33
To learn more about triangles, please check: https://brainly.com/question/7894175
Survey. Short Answ...
Calendar
Cop
Question 2
A car is 180 inches long. A truck is 75% longer than the car.
How long is the truck? Use the table to help you.
Car
Length
(inches)
Percent
Answer:
Para la mayoría de las personas, comprar un auto es importante, solo superado por comprar una casa.
Por lo tanto, no nos sorprende que muchas personas de todo el mundo vayan a internet para investigar sobre fabricantes, modelos y opciones de financiamiento antes de comprar uno.
Los clientes hacen su propia investigación y tú deberías hacer lo mismo. Usa una encuesta online como alternativa para averiguar qué necesitan los clientes y qué puedes hacer para que tu concesionaria, agencia de alquiler, taller automotriz o empresa de autopartes y accesorios sea el lugar donde deseen comprar.
Crea una encuesta online hoy mismo
Comienza ya con una plantilla de encuesta diseñada por expertos o crea tus propias preguntas sobre autos. Además, te facilitaremos la recopilación de respuestas y el análisis de resultados.
Step-by-step explanation:
Answer:
penchegolmales gwe
Step-by-step explanation:
thats it thats all i konwe aloha
Jackson wants to form a rectangular pen with 420 ft. of fencing. What should the dimensions be to provide the maximum area?
Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 5 oz of chips and drank 1 cup of soda for a
total of 650 mg of sodium. Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium. How much sodium is
in 1 oz of chips and how much is in 1 cup of soda?
Answer:
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of mg of sodium in 1 oz of chips.
y is the number of mg of sodium in a cup of soda.
Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.
This means that:
[tex]5x + y = 650[/tex]
Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.
This means that:
[tex]x + 5y = 250[/tex]
From the first equation:
[tex]y = 650 - 5x[/tex]
Replacing in the second
[tex]x + 5(650 - 5x) = 250[/tex]
[tex]x + 3250 - 25x = 250[/tex]
[tex]25x = 3000[/tex]
[tex]x = \frac{3000}{25}[/tex]
[tex]x = 120[/tex]
[tex]y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50[/tex]
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Which of these nets will not form closed cubes?
Please help me
Answer:
From left to right: 1, 6, and 7
Step-by-step explanation:
Answer:
The first, sixth, and seventh.
Step-by-step explanation:
Sandy picked 9 pounds of tomatoes. She wants to share the tomatoes equally among 4 of her neighbors. How many pounds of tomatoes will each neighbor get?
this is a not a part of the question 7
Answer:
2.25
9÷4
Step-by-step explanation:
Please help, test due in 2 hours! Will give good review and brainliest. :)
Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
The circular opening of a tunnel
has a circumference of 42
meters. Which equation can be
used to find d, the diameter of
the tunnel opening?
Answer:
2(21/pi)=d
Step-by-step explanation:
The formula for a circumference is C=2(pi)(r) in this case we know our circumference is 42 meters so 42=2(pi)(r), we must leave our radius by itself so we divide by 2 to get 21=pi(r) we then also divide by pi which will get us 21/pi=r and we know that the diameter is double of the radius so we just double which will then be 2(21/pi)=d
The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex
Answer:
its called a vertex
Step-by-step explanation:
The line segments that form a polygon are called the sides of a polygon.
A point where two sides meet is a vertex.( in plural form is vertices)
Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
What is the surface area?
5 yards
5 yards
5 yards
Answer:
150 yards^2
Step-by-step explanation:
If all lengths are equal (assuming that the question refers to 5 yds x 5 yds x 5 yds) that means that it is a cube.
A cube has 6 faces and each face is 25 yds^2 (because of the 5 x 5 lenght sides)
If you multiply 25 by 6 (the amount of faces) you would get 150 yds^2
Answer:
usbdkhfjdnbdjdkfdbdbdnkccndndkckcjd. endkcn
Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).
Answer:
603.71
Step-by-step explanation:
Use a function to solve this.
F(x)
Now lets put in the data for the function.
We have 910, which is the orginal number. This should be the first number, and will have to be multiplyied by the other numbers in the function to find the answer. I think of all these numbers like the things in a penut butter and jelly sandwhich, is sounds very nice since I am hungry.
F(x) = 910 *
Next, we have 5%, which is what we are taking from 910. So, we can think of this as 910 being multiplyied by 0.95. Lets add this to our growing penut butter and jelly sandwhich. The reason I put this into a parenthese is so that the 910
F(x) = 910 * (0.95)
Now for the last step, we must add in the years. So, eahc year we reduce the 910 by 5%, and we need to do this 8 years This means that the 910 times 0.95 must repeat 8 times. To do this, we need ot use exponent. This exponent is 8. So, here is our completed function:
F(x) = 910 * (0.95^8)
Lets plug this into a calculator, since doing this out on paper would be a real pain and will take far to long. I would probably die of hunger and never get a penut butter and jelly sandwhich if I did this out on paper.
In the end, you should get 603.7125 blah blah blah it goes on for a long time. I attached a file of what it looks like in the calculator if you want some evidence.
Oh, you said you want it rounded to the nearest whole number. Well, lets remember our rounding here. Anything below 5 goes down, anything 5 and higher goes up. Since we have 603.7125, we can round that too 603.71
Answer:
603.71
Ti⊂k∫∈s ω∅∅p
Im gonna go grab my PBJ now.
Bryan has coaught 14 of the 70 pokemon that are still currently at the park in pokemon go.what percent of pokemon does he stiñl need to catch?
Answer:
He still needs to catch 80% of the pokemon's.
Answer:80% are left.
The temperature never rose above 6 °F on Friday. Which number line could represent this situation?
A
+
0 1
+
2.
+
3
w==
+
4 5 6 7 8 9 10
B
0 1 2 3
4 5 6 7 8 9 10
C
빵
+
0 1 2 3 4 5 6 7 8 9
10
D
+
0 1 2
+m
+
4 5 6 7 8
+
9
10
Answer:
b
Step-by-step explanation:
is 2 a solution to 2x+3<2 ?
Answer:
no
Step-by-step explanation:
2(2) + 3 < 2 is a False statement; therefore, 2 is not a solution
Whats the slope of (-1,5) and (-2,-4)
Answer:
m=9
Step-by-step explanation:
From the figure which is greater between a and Q
Answer:
a
Step-by-step explanation:
the horizontal distance is shorter so the angle will be greater.
added:
tan a = AD/2a
tan Q - AD/3a
Just looking at the fractions AD/2a and AD/3a, the denominator of AD/2a is smaller so the resulting calculation will be greater, hence a is the larger angle.
attachment
look at it
Answer:
The first one 4(m-5)
Step-by-step explanation: 4 goes into M turning into 4m. Then 4 goes into 5 turning into 20 which is 4m-20
PLEASE SOLVE THIS! I will give you brainliest.
Answer:
657in squared
Step-by-step explanation:
Edgar and his 4 friends want to share the cost of a meal equally. They order
3 large pizzas and 5 small drinks. If they leave a tip of $8.10, how much does
each person pay?
Answer:
Each person pays $9.72
Step-by-step explanation:
Add up the cost of the large pizzas, small drinks, and the tip, then divide by 5.
Find the sector area.
Answer:
D
Step-by-step explanation:
Zac collected 4 pounds of aluminum cans. Eduardo collected 7/8 as many pounds as Zac. How many pounds of aluminum cans did Eduardo collect? *
Answer:
Eduardo collected 0.875 pounds can
Step-by-step explanation:
have a nice day dear
find the slope of each line
Answer:
(1,1) and (2,-4)
Step-by-step explanation:
i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help