Answer:
95 ; 105
Step-by-step explanation:
Let :
Aanya's time = x
Krish's time = x + 10
Together = 50
Hence
Aanya's rate = 1/x
Krish's rate = 1/(x + 10)
Together rate = 1/50
Hence,
1/x + 1/(x + 10) = 1 / 50
((x + 10) + x) / x(x + 10) = 1/ 50
(2x + 10)/ x² + 10x = 1/50
50(2x + 10) = x² + 10x
100x + 500 = x² + 10x
x² + 10x - 100x - 500 = 0
x² - 90x - 500 = 0
Using the quadratic equation solver :
x = 95.24 ; x = - 5.24
Time can't be negative
Hence, x = 95 (nearest minute)
It takes Aanya 95 minutes Alone a ND
Krishna (95 + 10) = 105 minutes alone
i need help with geometry
Answer:
Step-by-step explanation:
Volume of a pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height})[/tex]
Area of the rectangular base = Length × Width
= 8 × 6
= 48 mm²
Volume of the pyramid = 192 mm³
192 = [tex]\frac{1}{3}(48)h[/tex]
h = [tex]\frac{192}{16}[/tex]
h = 12 mm
Therefore, all the pyramids having height less than 12 mm will be fitted inside the given pyramid.
Height of the box(mm) Yes/No
10 Yes
13 No
8 Yes
Which point has coordinates (-5, -5) ?
Please help ASAP!! I will give 20 points !! for correct answer
Answer:
Your answer is S
Step-by-step explanation:
You move 5 to the left on the X axis, side to side.
Then you move 5 down on the Y axis, up and down.
Simplify: x^1/3(x^1/2+2x^2)
Answer:
A) x^1/6 + 2x^2/33
Answer:
I think its the last one
Step-by-step explanation:
(x^(2))/(6)+(2x^(3))/(3)
Can someone help me ASAP
Answer:
48 cm^2
Step-by-step explanation:
The area of a trapezoid is calculated using the following formula :
(a+b)2*h (a: base, b: base, h: height)
(8+16)/2*4 = 48 cm^2
Find the value of x in the figure shown.
Answer:
x= 17
Step-by-step explanation:
Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.
90 - 39= 51
since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.
The graph of the function y=-2(x-1)+3
opens up.
a.True
b. False
The lines y = 2x + 1 and y = -5x - 6 intersect at
a. (1, 1)
b. (1, 2)
c. (-1, -1)
d. (-1, 2)
C. (-1, -1)
Step-by-step explanation:
hope this helps ya :)
Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous year. Write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.
Answer: [tex]56,900\left( 0.919\right)^x[/tex]
Step-by-step explanation:
Given
Marcos purchased a sailboat for [tex]\$56,900[/tex]
Each year the boat will decrease in value by [tex]8.1\%[/tex]
After 1 year it is
[tex]\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\[/tex]
after another year it becomes
[tex]\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2[/tex]
After [tex]x[/tex] years it is
[tex]\Rightarrow 56,900\left( 1-0.081\right)^x[/tex]
[tex]\Rightarrow 56,900\left( 0.919\right)^x[/tex]
You roll a standard number cube 36 times, how many times can you expect to roll an odd number?
Answer:
18 times
Step-by-step explanation:
Half of the possibilities you can roll are correct. so 18 out of 36 times you roll an odd number.
You could also look at it another way. You can expect to roll each number 6 times, so the 3 odd numbers added together is 18 times.
HELP! WILL MARK BRAINLIEST!
Consider the function f(x) = x2 + bx – 2, where b is a constant. If the function has an axis of symmetry at x = – 3, what is the value of b?
Answer:
Step-by-step explanation:
if x=-3 is axis of symmetry then
(x+3)²=0
x²+6x+9=0
so b =6
The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
60.04
Step-by-step explanation:
I got the tax amount and tip amount and added them.
Answer:
Step-by-step explanation:
cost of meal=$52
tax=52×7 %=3.64$
tip=52×20%=10.40$
total cost of meal=52+3.64+10.40=66.04 $
8
IS THE FOLLOWING
EQUATION
LINEAR OR
NONLINEAR?
y = 4 + x2
Consider the line segment PQ with endpoints P(- 3, - 2) and Q(2, 3). Which point divides the line segment directed from P to Q in the ratio of 3:2?
Answer:
(0,1) point C
Step-by-step explanation:
the line segment PQ is divided into 5 parts ( 3parts +2 parts)
Is very important that you keep the direction correct from P to Q
The point C divides the PQ into 3:2 ratio
(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.
Vectorially speaking, we determine the the location of the point that divides the line segment in the ratio of [tex]a : b[/tex].
[tex]R(x,y) = P(x,y) + \frac{a}{a+b}\cdot [Q(x,y) - P(x,y)][/tex] (1)
Where:
[tex]P(x,y)[/tex], [tex]Q(x,y)[/tex] - Endpoints.[tex]R(x,y)[/tex] - Resulting point.If we know that [tex]P(x,y) = (-3, -2)[/tex], [tex]Q(x,y) = (2, 3)[/tex], [tex]a = 3[/tex] and [tex]b = 2[/tex], then the location of the resulting point:
[tex]R(x,y) = (-3, -2) + \frac{3}{5}\cdot [(2,3)-(-3,-2)][/tex]
[tex]R(x,y) = (-3,-2) +\frac{3}{5}\cdot (5, 5)[/tex]
[tex]R(x,y) = (-3, -2) + (3,3)[/tex]
[tex]R(x,y) = (0, 1)[/tex]
(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.
We kindly invite to check this question on line segments: https://brainly.com/question/23297288
WILL MARK BRAINLIEST IF RIGHT!!!
Answer:
12
Step-by-step explanation:
[tex]AD^{2} =AB * (AB+BC)[/tex]
Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect
Answer: [tex]n>1[/tex]
Step-by-step explanation:
Given
The product of 4 times n is greater than 4 i.e.
[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]
It can be said that the value of n must be greater than 1.
Which of the following rational functions is graphed below?
the answer is
C.IN MY OPINION HOPE IT HELPEDWriting a linear equations
Answer:
y=-3/5x
Step-by-step explanation:
PLEASE HELP ME WITH THIS! WORTH 20 POINTS!!!
If you have a scale factor of...
a. 3 what happens to the figure? Explain. Be as specific as possible. (2 pts)
b. 1/4 what happens to the figure? Explain. Be as specific as possible. (2 pts)
Michael earns 7 for each lawn he mows he wants to earn at least 45 write an inequality to show how many laws michael could mow solve the inequality and state your answer in a sentence
Answer:
At least means... From 45$ above or It should be equal to 45 or More...
7x≥45
x≥45/7
He need to Move at least 7 lawns.
Help please! i don't understand what the questoin is asking me to put
Answer:
Bx72
Step-by-step explanation:
Hope this helps
Answer:
it is asking what name of this solution is and how to solve it
Step-by-step explanation:
7. Jeremiah is going to the local arcade with $32 in his wallet to spend. He plans to bowl one game and play some arcade games. A game of bowling costs $11, the bowling shoe rental is $3.75, and the arcade games cost $0.75 each. Write and solve an inequality to find the number of arcade games Jeremiah can play.
Answer:
x < 25
Step-by-step explanation:
ayee
Need help! Does anyone know how to do this type of math? (It's geometry)
Answer:
71
Step-by-step explanation:
refer the attachment
to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that tangents which meet at the same point are equal that is being said
FA=AI=17CH=CG=2.5since [tex]\rm BA=FA+FB[/tex] and it's given that FA and BA are 17 and 29 FB should be
[tex]\rm 29=17+FB[/tex]therefore,
[tex]FB=29-17=\boxed{12}[/tex]once again by two tangent theorem we acquire:
[tex]FB=BH=\boxed{12}[/tex]As BC=BH+CH,BC is
12+2.5[tex]\boxed{14.5}[/tex]likewise,AD=AI+DI so,
21=17+DI [AD=21(given) and AI=17 (by the theorem)]thus,
DI=21-17=[tex]\boxed{4}[/tex]By the theorem we obtain:
DI=DG=4Similarly,DC=DG+CH therefore,
DC=4+2.5=[tex]\boxed{6.5}[/tex]Now finding the Perimeter of ABCD
[tex]P_{\text{ABCD}}=\text{AB+AD+BC+DC}[/tex]substitute what we have and got
[tex]P_{\text{ABCD}}=\text{29+21+14.5+6.5}[/tex]simplify addition:
[tex]P_{\text{ABCD}}=\boxed{71}[/tex]hence,
the Perimeter of ABCD is 71
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is Negative 8 x = 14. X = 2 y = 3 There is only one solution to the system of equations.
Answer:
The y-variable will be eliminated when adding the system of equations.
There is only one solution to the system of equations.
Step-by-step explanation:
-x + 6y = 16 (1)
8x - 6y = -2 (2)
Add the equations to eliminate y
-x + 8x = 16 +(-2)
7x = 16 -2
7x = 14
x = 14/7
x = 2
Substitute x = 2 into (1)
-x + 6y = 16 (1)
-2 + 6y = 16
6y = 16 + 2
6y = 18
y = 18/6
y = 3
(x, y) = (2, 3)
Answer:
B and F
Step-by-step explanation:
Help I will give brainiest and stuff
How many solutions does this system of equations have? y=6x+x+3 y=7x+3+1
:]
Answer: no solutions
Step-by-step explanation:
y = −7x + 3
y + 7x = 10
Answer:
No solution the lines are parallel
Step-by-step explanation:
y = 6x +x + 3
y = 7x + 3
y = 7x + 3 + 1
y = 7x + 4
No solution the lines are parallel
pls help, do atleast 1-6. Will give brainliest!
Answer:
1.) 2√42
2.) 31.7
3.) 26.3
4.) 67.1
5.) 60
6.) 6√2
Step-by-step explanation:
Use pythagorean theorem
a^2+b^2=c^2
no one wants to help me..someone please help!!
PLZZZZ HELP MARKING BRANLIEST
Answer:
15 cm
Step-by-step explanation:
i had this question before
help anyone?? need to get this done
HELPPPPPPPPPPP
Find the volume of the cone.
Either enter an exact answer in terms of
π
πpi or use
3.14
πpi and round your final answer to the nearest hundredth.
Answer:
V = 18.84 units³
Step-by-step explanation:
The formula for the volume of a cone of base radius r and height h is
V = (1/3)(pi)(r²)(h).
Here, with pi = 3.14, r = 3 and h = 2, we get:
V = 18.84 units³