Answer.
x=156
How to solve
x /6 +6=32
1 /6 x+6=32
1 /6 x+6−6=32−6
1 /6 x=26
6*( 1/ 6 x)=(6)*(26)
x=156
Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?
Answer:
Step-by-step explanation:
Manish:
[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]
Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630
Jhanavi:
Savings = (1/3) *2520 = Rs. 840
Amount spend at mall = (3/5) * 2520
= 3 * 504
= Rs. 1512
Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352
= Rs. 168
Carmen is dividing her rectangular garden with a diagonal fence. The length of the garden is 11 feet and the diagonal is 19 feet. Write an equation that can be used to find the width of the garden. Then find the width of the garden. Round to the nearest tenth, if needed.
Answer:
Equation: 19^2 - 11^2 = width
Step-by-step explanation:
use Pythagorean theorem to find the width.
so, 19^2 - 11^2 = 361-121= 240.
so width = square root of 240
Answer:
19^2 - 11^2 = width
Step-by-step explanation:
What is the slope? will mark brain
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3.
Step-by-step explanation:
The answer is 3( slope ) because
6÷2=3.
Improper fraction = 3/1
a) Expand and simplify (4x + 3)(2x - 5)
(2)
+
b) Factorise x2 + 5x + 6
(2)
Total marks: 4
Answer:
a. [tex]8x^{2} -14x-15[/tex]
b. [tex](x+3)(x+2)[/tex]
Step-by-step explanation:
A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)
For F, take the first terms of the 2 and multiply
[tex]4x*2x=8x^{2}[/tex]
For O, take the outer terms and multiply
[tex]4x*-5=-20x[/tex]
For I, take the inner terms and multiply
[tex]3*2x=6x[/tex]
For L, take the last terms and multiply
[tex]3*-5=-15[/tex]
After that, add all of them up
[tex]8x^{2} +(-20x)+6x+(-15)=8x^{2}-14x-15[/tex]
B. Since the equation is in the form x^2+bx+c,
[tex](x+?)(x+?)[/tex]
Now we need to find 2 numbers that will add up to 5 and multiply to 6.
Here are some of the combinations of numbers that multiply to 6
3*2
1*6
-3*-2
-1*-6
3 and 2 add up to 5 so:
[tex](x+3)(x+2)[/tex]
Enter the equation for the graph.
Answer:
y = cos x
Step-by-step explanation:
The graph begins at (0, 1) and completes its first period at (2π, 1) Thus the period of this function is 2π. The amplitude is 1; this is the value that y takes on when x = 0.
Thus the equation of this graph is y = 1cos x, or y = cos x.
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?
46+w=231
w=185
# brown eggs (46) + # white eggs (w) = total # of eggs (231)
Answer:
231 - 46 = 185
Step-by-step explanation:
We know that the restaurant used 231 eggs last week. (That's a lot!)
That is out starting point. It doesn't change.
Then, it says 46 are brown eggs.
To find the number of white eggs, we know it must equal to 231 when added to the 46 brown eggs. Or, 46 + ? = 231.
So, we do the opposite operation of addition; subtraction.
Like this:
231 eggs - 46 brown = ? white eggs.
That equals 185 white eggs.
Keep up the EGGcellent work! ;)
-Bella,
BrainlyBluebell
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) – 6 = 0? A. (u + 2)^2 + 5(u + 2) – 6 = 0 where u = (x – 2) B. u^2 + 4 + 5u – 6 = 0 where u = (x – 2) C. u^2 + 5u – 6 = 0 where u = (x + 2) D. u^2 + u – 6 = 0 where u = (x + 2) (This is a question from Edg by the way)
Answer:
C. u^2 + 5u – 6 = 0 where u = (x + 2)
Step-by-step explanation:
(x + 2)^2 + 5(x + 2) – 6 = 0
Let u = x+2
(u)^2 + 5(u) – 6 = 0
Answer:
C.u^2+5u-6=0
Step-by-step explanation:
By comparing (x+2)^2+5(x+2)-6=0 to answer C,that is u^2+5u-6=0,u=(x+2).
By sustituting (x+2)into answer C,we get;
(x+2)^2+5(x+2)-6=0 which is the same as the quadriatic equation given in the question.
a square rug has a perimeter of 64 cm. george says the side lenght of the square is 8cm . bob thinks it is 16cm. who is correct ?
Answer:
16 cm
Bob is correct
Step-by-step explanation:
Perimeter of a square = 4 × side’s length
Then
the side length = 64/4 = 16
Answer:
perimeter of square =4l
64/4cm=l
l=16cm
therefore
bob is correct.
at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
About $5.33
Step-by-step explanation:
If u want to find out How many dollars per hour u do 48 divided by 9
Hope this helps
Convert the angle radians to degrees
Answer:
160 degrees
Step-by-step explanation:
To change from radians to degrees, multiply by 180 / pi
8 pi/9 * 180/pi
160 degrees
Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.
Answer: A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Step-by-step explanation:
Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.
Cost of scooter = $600
Weekly installment = $18.75
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Let 'x' be the number of weeks .
Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)
[tex]\Rightarrow\ 150=600-18.75x[/tex]
[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]
i.e. After 24 months when she has $150 left to pay for the motorized scooter.
Hence, the correct answer is :
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
Answer:
B)-18.75x+600=150
Step-by-step explanation:
Got it right on my test!
Solve 3x - 3 =27 - 2x pls answer
Answer:
[tex]\fbox{\begin{minipage}{3em}x = 6\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Equation: [tex]3x - 3 = 27 - 2x[/tex]
Solve for:
[tex]x[/tex]
Solution:
Step 1: Select relevant approach:
Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from + to - or - to +), then calculate [tex]x[/tex]
Step 2: Perform the calculation:
[tex]3x -3 = 27 - 2x[/tex]
Moving components:
<=> [tex]3x + 2x = 27 + 3[/tex]
Adding up components:
<=> [tex]5x = 30[/tex]
Dividing both sides by 5 (coefficient of component containing [tex]x[/tex]:
<=> [tex]\frac{5}{5} x = \frac{30}{5}[/tex]
Simplifying to work out [tex]x[/tex]:
<=>[tex]x = 6[/tex]
Hope this helps!
:)
Answer:
x = 6
Step-by-step explanation:
3x - 3= 27 - 2x
First we put all the x terms to on side, making it 3x + 2x - 3= 27.
Remeber that when we move a term to the other side of the equals sign (=), we change its sign to be the opposite of what it currently is.
Then, we move all the numberics to the other side, so we derieve 3x + 2x = 27 +3. Again, the sign changes when we move it across.
What is left to do is add up the quantities. So 3x + 2x = 5x and 27 +3 = 30.
We are left with 5x = 30. If 5 x's is 30, how much is one? Sinply divide it to get the answer of 30 / 5 which is six!
To make sure the answer is correct substituite 6 in the equation as x and see if its accurate: 3(6) -3 = 7 - 2 (6). And it is!
So x is equal to six.
Dada la función cuadrática () = + + . Determinar: a. Si la gráfica se abre hacia arriba o hacia abajo b. Las coordenadas del vértice c. El punto de corte con el eje de las y d. Los puntos de corte con el eje de las x e. El eje de simetría
I need help finding the surface area, can someone help
Answer:
1). Surface area of the prism = 112 cm²
2). Area of the sphere = 615.8 cm²
Step-by-step explanation:
1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides
Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(7)[/tex]
= 10.5 cm²
Area of a rectangle = Length × width
Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)
= 15 + 40 + 35
= 90 cm²
Surface area of the prism = (2 × 10.5) + 90
= 21 + 90
= 112 cm²
2). Surface area of the sphere = 4πr²
= 4π(7)²
= 615.75
≈ 615.8 cm²
Which of the following is not an attribute of parallelograms? Opposite sides are parallel. Consecutive angles are supplementary. Diagonals bisect each other. Diagonals are congruent.
Answer:
Diagonals are congruent
Step-by-step explanation:
The diagonals of a parallelogram are not congruent; one is longer than the other
A large cooler contains 15 liters of iced tea and A small cooler contains 5 liters of iced tea how many more milliliters of iced tea does the large cooler contain than the small cooler?
Answer:
10000 ml
Step-by-step explanation:
1 liter =1000 ml
15 -5 = 10
10 * 1000= 10000
How long would it take you to reach 100 for the number of times you did your activity from this graph?
PLEASE HELP NOW
ILL GIVE YOU BRAINLIEST
Answer:
33 1/3 minutes
Step-by-step explanation:
I note x- number of sentences
y=time
when x=3, y=1
x=6, y= 2
I observe that for every 3 sentences I have one more minute ( y increases by 1) so y= x/3
when x=99 i have y=99/3=33 minutes
for x= 100 I have y=100/3minutes= 33 1/3 minutes
URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c for child
a for adult
4c+ 6a ≤ 120 for build
4c +4a ≤ 100 for test
We want 20 child and 6 adult
4(20)+ 6*6 ≤ 120
80+36 ≤ 120
116 ≤ 120 true for build
4*20 +4*6 ≤ 100
80+24 ≤ 100
104 ≤ 100
False for test
Answer:
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
PLEASE HELP ME SHOW ME HOW U GOT YOUR ANSWER PLZ AND THANK U
Answer:
2/3
Step-by-step explanation:
There are 6 marbles in the jar
4 are not purple
P(not purple) = marbles that are not purple/ total marbles
= 4/6 = 2/3
Answer:
2/3
Step-by-step explanation:
since there are 6 total marbles and 4 of them are colors other than purple, there is a 4/6 chance of drawing a marble that is not purple which can be simplified to 2/3.
If the slope if the line a is -4 and line a is perpendicular to line b. Which statement must be true?
Answer:1/4
Step-by-step explanation:
The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.
What is the value of the expression below?
7-2-4.5x3-8
Answer:
6.5
Step-by-step explanation:
7-2=5-4.5=0.5
0.5ₓ3=1.5
8-1.5=6.5
Please help! Correct answer only!
You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 20. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is even, you win $34. If the number the ball lands on is odd, you win nothing. If you play the game, what is the expected payoff?
Answer:
" Expected Payoff " - 17 Dollars ; Type in 17
Step-by-step explanation:
Consider the probability of landing in an odd section;
[tex]Sections of the Wheel - 20 Sections,\\Numbers Numbered On the Wheel - 1 To 20,\\\\Odd Numbers = Even Numbers,\\Odd Numbers = 20 / 2 = 10,\\Even Numbers = Odd Numbers = 10,\\\\Probability of Spinning Even - 10 / 20 = ( Simplified ) 1 / 2,\\Money Won = 34 Dollars,\\\\Proportionality - 1 / 2 = x / 34, Where, x = " Expected Payoff "\\1 / 2 = x / 34,\\2x = 34,\\x = 17 Dollars,\\\\Conclusion ; " Expected Payoff " = 17 Dollars[/tex]
Solution ; Provided Directly Above
1. X-3.3< 16.2 *
O x<19.5
O x> 19.5
O x< 12.9
O
X > 12.9
Answer:
x <19.5
Step-by-step explanation:
X-3.3< 16.2
Add 3.3 to each side
X-3.3+3.3< 16.2+3.3
x <19.5
The bar graph shows the results of rolling a number cube (die) 50times. What is the experimental probability of rolling each of the number on the number cube?
Column A Column B
1. a. 18%
2. b. 8%
3. c. 22%
4. d. 16%
5. e. 20%
6.
c. 22%
Step-by-step explanation:
sorry for no explanation
HELP!!!! Identify the volume of the composite figure rounded to the nearest tenth.
Answer:
4618.1 ft³
Step-by-step explanation:
Volume of the cone:
[tex]V_{cone} = \frac13 \pi r^2 h[/tex]
[tex]V_{cone} = \frac13 \cdot \pi \cdot 49 \cdot 12 = 196\pi[/tex]
Volume of the cilinder:
[tex]V_{cilinder} = \pi r^2 h[/tex]
[tex]V_{cilinder} = \pi \cdot 49 \cdot 22 = 1078\pi[/tex]
Total volume is 2*Vcone + Vcilinder = 1470π ≈ 4618.1 ft³
Please help me simplify these expressions
Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3
Step-by-step explanation:
1. there is no numbers to multiply together, so just add the a's and b's
2.3 stands alone. add the m's and n's together. getting m^2 and n^5
3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3
Lmk if it helps. :)
HELP PLS I WILL MARK BRAINLIEST!!!!!!!!!!!!
a
because it has the highest values from all the options from all the above
please help i put a picture on top
Answer:
1/8÷7
Step-by-step explanation:
I think
PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
Enter your answer into the blank equation box.
Answer:
equation in standard form is -3x + 5y = -26
Step-by-step explanation:
standard form of equation of line is
Ax + By = C
where A,B and C are integers.
such line has slope -A/B
Another form of line equation is slope intercept form, which can be written as
y = mx+ c
since in problem m = 3/5
thus, equation is
y = 3/5 x + c
Given that (2,-4) passes through this line, this point will satisfy the above equation
-4 = 3/5 *2 + c
=> - 4 = 6/5 + c
=> c = -4 -6/5 = (-4*5 - 6)/5
=> c = (-20 - 6)/5 = -26/5
Thus, equation in slope intercept form is
y = 3/5 x -26/5
lets rewrite this equation in Ax + By = C
Multiplying LHS and RHS by 5 we have
5y =( 3/5 x)* 5 - (26/5 * 5)
=> 5y = 3x - 26
we have to bring 3x on LHS for that
we subtract 3x from both side
5y -3x = 3x - 26 -3x
=> 5y -3x = - 26
rearranging the equation
-3x + 5y = -26
Thus, equation in standard form is -3x + 5y = -26
How much is one gram into ounces?
Answer:
1 gram is 0.035274 in ounces
Answer:
It would be about 0.035274
Step-by-step explanation:
For an approximate result, divide the mass value by 28.35
Hope this helps
