Answer:
pipe will empty the tank in 10.5 hours, working alone.
Step-by-step explanation:
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5*3.5*x = 1; hence x = 1%2F%287.5%2A3.5%29.
Then 2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
The faster pipe will empty the tank in 10.5 hours, working alone.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5×3.5×x = 1
7.5×3.5 x=1
Divide both sides by 7.5×3.5
x=1/ 7.5×3.5
2.5x=2.5/ 7.5×3.5
x=1/10.5
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
Hence, the faster pipe will empty the tank in 10.5 hours, working alone.
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factorize 4x^2 - 169y^2
Step-by-step explanation:
4x² - 169y² can be factorised as (2x + 13y)(2x - 13y).
The solution set of |4x - 7| = 9 is
{4}
{-1/2, 4}
{}
Answer:
{4}
Step-by-step explanation:
first move 7 to RHS in addition
then 4 in RHS in division
Answer:
{-1/2,4}
Step-by-step explanation:
1.) Jahmal had a $10,000 loan. He still owes $5,275. He had to pay 15% interest up front on to get
the loan. How much total money has Jahmal already paid on the loan?
A.) $4,725
B.) $6,225
C.) $5,550
D.) $709
I need help and please explain what you did. Thank you!
Answer:
C or A
Step-by-step explanation:
what is the numbers in PI {pi} im confused is it 3.4578949 or is it 3.5478749?
Answer:
just use the pie sign in your calculator
pi = 3.1415926535898
This is something you either memorize, have on a flashcard, or just let your calculator handle the details. The digits of pi are effectively random and do not repeat with a known pattern.
one factor of x^3-x^2-x+1 is x-1 the other factor is
Nalini thinks of an number. She doubles it and adds 5. Her answer is sixteen more than the number she thought. What number did Nalini think of? a) 10 b) 11 c)12 d) 6
Answer:
B. 11
Step-by-step explanation:
We can try it for each
10*2+5=25
25-10=15❌
11*2+5=27
27-11=16 ✔
12*2+5=29
29-12=17❌
6*2+5=17
16-6=11❌
So it's B
50x3 – 20x + 8x ─ 21x3 – 3x + 15x ─29 x3
Answer:
0
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
50x³ -20x + 8x - 21x³ - 3x + 15x - 29x³
Step 2: Simplify
Combine like terms (x³): -20x + 8x - 3x + 15xCombine like terms (x): 0Answer:
[tex]\boxed {\boxed {\sf 0}}[/tex]
Step-by-step explanation:
We are given the expression:
[tex]50x^3-20x+8x-21x^3-3x+15x-29x^3[/tex]
We want to simplify it, so we must combine the like terms. For this equation, the like terms are terms with x³ or x.
First, combine all the x³ terms.
[tex](50x^3-21x^3-29x^3)-20x+8x-3x+15x[/tex]
[tex](0x^3)-20x+8x-3x+15x[/tex]
[tex]-20x+8x-3x+15x[/tex]
Next, combine all the remaining terms, because they are all terms with an x.
[tex]-12x-3x+15x[/tex]
[tex]-15x+15x=0[/tex]
The expression is equal to 0
A piece of paper has a
rectangle ABCD in which
AB - 10cm and BC = 22 cm,
it was folded to form a
right circular cylinder
such that AB is Cincident
to DC Find the volume of
the resulted cylinder
Answer:
The volume of the resulting cylinder is 385 cm³
Step-by-step explanation:
The formula of the rule of a cylinder is V = π r² h, where
r is the radius of its baseh is the height of itWhen a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder
∵ ABCD is a rectangle
∵ It is folded where AB coincides with DC
∴ AB is the height of the resulted cylinder
∴ BC is the circumference of the base of the resulted cylinder
∵ AB = 10 cm
∴ h = 10 cm
∵ BC = 22 cm
∴ The circumfrence of the base = 22 cm
∵ The circumference of a circle = 2 π r
→ Equate the rule by 22 to find r
∴ 2 π r = 22
∵ π = [tex]\frac{22}{7}[/tex]
∴ 2 × [tex]\frac{22}{7}[/tex] × r = 22
∴ [tex]\frac{44}{7}[/tex] r = 22
→ Divide both sides by [tex]\frac{44}{7}[/tex]
∴ r = 3.5 cm
→ Use the formula of the volume above to find the volume of the cylinder
∵ V = [tex]\frac{22}{7}[/tex] × (3.5)² × (10)
∴ V = 385 cm³
∴ The volume of the resulted cylinder is 385 cm³
In an exponential function, $(x)= a(b)", it is known that (5) = 15 and S(8) = 170. Which of the
following is closest to the value of b?
(1) 1.87
(3) 3.19
(2) 2.25
(4) 3.72
Answer:
b = 2.25
Step-by-step explanation:
Here, we want to get the value of b
from the question;
s(x) = ab^n
Firstly;
15 = a•b^5
Secondly
170 = a•b^8
Divide second by first
170/15 = ab^8/ab^5
11.33 = b^3
b is the cube root of 11.33
b = 2.25
Here are 6 number cards -4, -2, -1, 5,6,8 arrange the cards into 3 pairs with the same total
Answer: See explanation
Step-by-step explanation:
We are informed that we should arrange -4, -2, -1, 5,6,8 arrange into 3 pairs with the same total. This will be:
= (-4,8), (-2,6), and (-1,5).
Let's check the total for each. This will be:
= (-4,8) = -4+8 = 4
(-2,6) = -2 + 6 = 4
(-1,5) = -1 + 5 = 4
What is the mean absolute deviation of the following set of data?
10
20
12
4
18
8
14
18
Answer:
The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is: [tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}[/tex]
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:
[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{104}{8}\\Mean=13[/tex]
Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8
[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{36}{8}\\Mean=4.5[/tex]
So, the mean absolute deviation of the following set of data is 4.5
Which pair of angles are vertical angles?
/_ZRQW and /_ZWQV
/_ZRQT and /_ZTQV
/_ ZRQW and /_ZTQU
/_ZRQS and /_ZSQU
Answer:
(c) is correct.
Step-by-step explanation:
When two lines cross each other, the angles opposite to each other are called vertically opposite angles. They are always equal.
In this given figure,
Line TW and RU cross each other at Q, it means
[tex]\angle RQW=\angle TQU[/tex] (vertically opposite angles)
Hence, the correct option is (c).
Plz help!! (I just copied and pasted it)
The video store rents DVDs for $3.00 each and video games for $4.50 each. Write an equation in standard form for the number of DVDs d and video games g that a customer could rent with $18. Graph the equation and give me three combinations of DVD’S and video games.
Step-by-step explanation:
3d + 4.5g <= 18.
3 possible combinations are:
0 DVD and 4 Video games,
1 DVD and 3 Video games,
2 DVDs and 2 Video games.
Answer:
3 possible combinations are:
0 DVD and 4 Video games
1 DVD and 3 Video games
2 DVDs and 2 Video games
Step-by-step explanation:
−2/3(15x + 3) = −3x − 9
what is x?
Answer:
X=1
Step-by-step explanation:
-10x-2=-3x-9
-10x-2+2=-3x-9+2
-10x=-3x-7
-10x+3x=-3x-7+3x
-7x=-7
Then divide both sides by -7
x=1
the public library has 1,845 new books and 4,527 old books. Micah puts the same number of books on 9 shelves. How many books did he put on each shelf
Answer:
708 books on each shelf!!?!!
Step-by-step explanation:
1,845 + 4,527 = 6372
6,372 ÷ 9 = 708
If I am right, please give me brainliest!!!!
- Hermionia
Juan wants to earn more than $52 trimming trees. He charges $8 per hour and pays $4 in equipment fees. What are the possible numbers of hours Juan could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t .
Answer:
He has to work for more than 8 hours.
Step-by-step explanation:
8t + 4 > 52
8t + 4 - 4 > 52 - 4
8t > 48
8t/8 > 48/8
t > 8
What is the slope of this line?
Enter your answer as a whole or a fraction in simplest form.
Answer:
Step-by-step explanation:
(-2,0) (0, -2) = (-2 - 0)/(0 + 2) = -2/2= -1
y - 0 = -1(x + 2)
y = -x - 2
slope is -1
The
says that the i
of the interior angles in a triangle
180 degrees.
The value of "x" isi
The measure of Angle A is :
degrees.
The measure of Angle B is :
degrees.
A restaurant customer left $1.30 as a tip. The tax was 7% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
Step-by-step explanation:
Given that:
Tip left = $1.30
Tax = 7%
Tip = 10% of after tax cost
The tax percentage is not needed in calculating the bill after tax and tip
Hence,
Let after tax cost = x
10% of x = 1.30
0.1x = 1.30
x = $13
After tax cost = $13
Hence, the Total bill after tax = $13
During a sale, a dress is marked down from a selling price of $68 to a sale price of $44.20. What is the percent markdown?
Answer:
35%
Step-by-step explanation:
i need help with #11 and #12
9514 1404 393
Answer:
11. y = -1/4x² +1
12. y = 1/6(x -3)² +5/2
Step-by-step explanation:
Since 9-12 are all the same, we can solve the problem generically and plug in the given numbers. Let the focus be (a, b) and the directrix be y=d.
The vertex is halfway between the focus and directrix, so its coordinates will be (a, (b+d)/2). The distance from focus to directrix is b-d. Given these conditions, the equation of the parabola is ...
y = 1/(2(b-d))(x -a)² +(b+d)/2
__
11. For (a, b) = (0, 0) and d = 2, the equation is ...
y = 1/(2(0-2))(x -0)² +(0+2)/2
y = -1/4x² +1
__
12. For (a, b) = (3, 4) and d = 1, the equation is ...
y = 1/(2(4-1))(x -3)² +(4+1)/2
y = 1/6(x -3)² +5/2
__
The attachments show the graphs of these. You can verify the graph by noticing ...
a) the vertex is halfway between the focus and directrix
b) a horizontal line from the focus to the curve is the same length as a vertical line from the directrix to the same point on the curve
Del contenido total de una lata de verduras de 220g,la masa drenada es de 110g. ¡Que fraccion representa la masa drenada del contenido total? ¿Que fraccion decimal corresponde a un 1/4? ¿Que tanto por ciento se representa con 1/4 o .25? ¿Que tanto por ciento del contenido total representa la masa drenada?
Explicación paso a paso:
Pregunta 1
El contenido total de verduras = 220 g
La masa drenada es de 110 g.
¿Qué fracción representa la masa drenada del contenido total?
= 110/220
= 22/11
La fracción es 11/22
Pregunta 2
¿Qué fracción decimal corresponde a 1/4?
la fracción decimal que corresponde a 1/4 es 0,25
Pregunta 3
¿Cuánto porcentaje está representado por 1/4 o 0,25?
= 0,25 * 100
= 25%
Pregunta 4
¿Cuánto porcentaje del contenido total representa la masa drenada?
= 110/220 * 100
= 11/22 * 100
= 0,5 * 100
= 50%
does anyone know how to find the values of Y in a function table?
Answer:
1 - 5
2 - 7
Step-by-step explanation:
Plug the x values into the equation.
I can't see to do all of them, so I'll just do the first two.
1. y=2(1)+3
= 2 + 3 = 5
2. 2(2) + 3
= 4 + 3= 7
A air traffic control system is tracking two fighter jets, both of which are flying at the same altitude and their directed distance is measured in kilometers. If they have coordinates of (4, 150°) and (2, 195°), find the distance between the two jets.
Answer:
The distance between the two jets is approximately 2.947 kilometers.
Step-by-step explanation:
From the statement we know the location of each jet in polar coordinates, which are defined by the following notation:
[tex]\vec r = (r, \theta)[/tex] (1)
Where:
[tex]r[/tex] - Distance of the jet from the origin, measured in kilometers.
[tex]\theta[/tex] - Angle of the jet with respect to the east direction, measured in sexagesimal degrees.
To transform polar coordinates into rectangular coordinates, we use the following expressions:
[tex]x = r\cdot \cos \theta[/tex] (2)
[tex]y = r\cdot \sin \theta[/tex] (3)
And lastly, we determine the distance between the two jets ([tex]d[/tex]), measured in kilometers, by the Pythagorean Theorem:
[tex]d = \sqrt{(r_{2}\cdot \cos \theta_{2}-r_{1}\cdot \cos \theta_{1})^{2}+(r_{2}\cdot \sin \theta_{2}-r_{1}\cdot \sin \theta_{1})^{2}}[/tex] (4)
If we know that [tex]r_{2} = 4\,km[/tex], [tex]\theta_{2} = 150^{\circ}[/tex], [tex]r_{1} = 2\,km[/tex] and [tex]\theta_{1} = 195^{\circ}[/tex], the distance between the two jets is:
[tex]d = \sqrt{[(4\,km)\cdot \cos 150^{\circ} -(2\,km)\cdot \cos 195^{\circ}]^{2}+[(4\,km)\cdot \sin 150^{\circ} -(2\,km)\cdot \sin 195^{\circ}]^{2}}[/tex]
[tex]d \approx 2.947\,km[/tex]
The distance between the two jets is approximately 2.947 kilometers.
write the following number in standard form decimal
Answer:
0.0001825
Step-by-step explanation:
First you find out what 10 to the -4th power is after that you multiply the decimal shown (1.825) you start moving the number behind the decimal and you have your answer 0.0001825
Answer:
0.0001825
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 52.5 miles to km.
Answer:
approximately 84.5
Step-by-step explanation:
HELP PLEASE MATH WILL GIVE BRAINLIST
Answer:
y=1/3x
Step-by-step explanation:
the third one
Solve the equation.
4(x – 6) = 16
A. 8
B. 10
C. –10
D. 12
Answer:
a.
Step-by-step explanation:
its 8 hope this helps!
Answer:
B (x=10)
Step-by-step explanation:
A) Distribute 4 to x and -6 (basically multiply 4 to x, then 4 to -6)
B) (Resulting equation): 4x-24=16
C) Add +24 to each side of the equation
D) (Resulting equation): 4x=40
E) Divide each side by 4 in order to isolate the x variable
F) (Resulting equation): x=10
Simplify the expression 21b4 − 3b by combining like terms.
1. 18b5
2. 18b4
3. 21b4 − 3b
4. 18b3
Greg wants to buy a new baseball bat. Store A has the bat originally priced at $245 and is having a 25% off sale. Store B's bat has an original price of $166 but is marked up 20%. Which store has the better price for the baseball bat?
Answer: Store A with price at $183.75 has the better price for the baseball bat
Step-by-step explanation:
Step 1
New price of baseball bat at store A= Original price - 25% off sale
$245- (25/ 100 x 245)
$245-$61.25
$183.75
New price of baseball bat at store B= Original price +20% mark up
=$166 + (20 /100 x 166)
=$166 + 33.2
$199.2
Step 2
Having that the price of bat at store A is =$183.75 and the price of bat at store B is =$199.2, The better price for the baseball bat is sold at Store A which is a cheaper option
Answer:
It is cheaper to buy the bat in Store A.
Step-by-step explanation:
Giving the following information:
Store A:
Selling price= $245
Discount= 25%
Store B:
Selling price= $166
Mark-up= 20%
We need to determine which store is cheaper to buy the bat:
Store A:
Discounted selling price= 245*0.75= $183.75
Store B:
Mark-up selling price= 166*1.2= $199.2
It is cheaper to buy the bat in Store A.