Answer:
Jenny's is 8 now and Sammie is 17.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
Jenny's age is x.
Sammie's age is y.
Jenny is 9 years younger than Sammie.
This means that:
[tex]x = y - 9[/tex]
Five years ago, Sammie was four times older than Jenny.
This means that:
[tex]y - 5 = 4(x - 5)[/tex]
Since [tex]x = y - 9[/tex]
[tex]y - 5 = 4(y - 9 - 5)[/tex]
[tex]y - 5 = 4(y - 14)[/tex]
[tex]y - 5 = 4y - 56[/tex]
[tex]3y = 51[/tex]
[tex]y = \frac{51}{3}[/tex]
[tex]y = 17[/tex]
[tex]x = y - 9 = 17 - 9 = 8[/tex]
Jenny's is 8 now and Sammie is 17.
HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches
Answer:
800 cubic inches
Step-by-step explanation:
We will use the formula= V=lwh or Volume= length times width times height
so, Volume=5inches times 8 inches times 20 inches
so, volume= 5 times 8 times 20
=40 times 20
=800 cubic inches
Please mark me as a brainliestAnswer:
800
Step-by-step explanation:
Divide round your answer to the nearest hundredth 5608.67÷7
Answer:
5608.67 ÷ 7 = 801.24
BRAINIEST FOR CORRECT ANSWER!! :))) ——————-
Determine the possible side lengths of the third side of a triangle with known side
lengths of 5 and 8.
A) 5 < c < 8
B) 3 < c < 13
C-5 < c <-8
D) -3 < C < -13
PLEASE HELP I GIVE BRAINLIEST
Answer: 777654
Step-by-step explanation:
lol
I need help look in screenshot plzz
Answer:
45
Step-by-step explanation:
3 to the power of 2=9
and 9x5 =45
what is the graph of the system? y < -2
Answer: The answer is -2 it's just going to stay as -2 because y has no value.
Answer: this is the graph i wish that could help :)
a spiner has 5 equal sized sections with different colors. you spin the spinner 50 times what is th theoretical and experimental probability of spinning blue
Answer:
10%
Step-by-step explanation:
you would do 50/5 because all the sections are even so you would get 10%.
A fair spinner has 10 equal sections: 4 red, 3 blue and 3 green.
It is spun twice.
What is the probability of getting the same colour twice?
Answer:
4 divided by 10 is 40% 3 divided by 10 is 30 percent
Step-by-step explanation:
for red there would be 40 percent probability and green and blue both have 30% probability.
What is the y-intercept of the line?
1
1/2
-2
0
Answer:its 1
Step-by-step explanation:
3. Write in fraction form: 15.43
(5 Points)
15 43/100
O 154 3/100
O 1543/100
O 15 43/10
Answer:
1543/100 is the answer
According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.
Answer:
C. [tex] Cos(28) = \frac{15}{17} [/tex]
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]
Reference angle = 28°
Adjacent = 15
Hypotenuse = 17
Plug in the values
[tex] Cos(28) = \frac{15}{17} [/tex]
What is the recursive formula for this sequence:
1,-1,-3, -5......
Answer:
d) A[n] = A[n=1] - 2 (Your selected answer is correct)
Step-by-step explanation:
Think of the formula as:
new number = previous number minus 2
A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t.
Answer:
The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]
Step-by-step explanation:
Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.
To find - Find the number A(t) of pounds of salt in the tank at time t.
Proof -
Given that,
Capacity of water = 400 gallons
rate in flow = 4 gal/min
rate out flow = 8 gal/min
Concentration in = 3 lbs/gal
Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)
Now,
Let
A(t) = Amount of salt in the tank at time t
Now,
Initially tank has 400 gallons of water, So
A(0) = 0 ................(1)
Now,
Rate of change in the amount of salt = [tex]\frac{d}{dt} A(t)[/tex]
= (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)
= (4) (3) - (8) ([tex]\frac{A(t)}{400 - 4t)}[/tex]
= 12 - [tex]\frac{2A(t)}{100 - t)}[/tex]
⇒[tex]\frac{d}{dt} A(t)[/tex] + [tex]\frac{2A(t)}{100 - t)}[/tex] = 12
Now,
Integrating Factor, I.F = [tex]e^{\int {\frac{2}{100 - t} } \, dt }[/tex]
= [tex]e^{-2ln(100 - t)}[/tex]
= (100 - t)⁻²
⇒I.F = (100 - t)⁻²
The solution becomes
A (I.F) = ∫ (I.F)(12) dt + C
⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C
⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C
⇒A(t) = [tex]12(100 - t)+ C(100 - t)^{2}[/tex]
Now,
We have A(0) = 0
⇒C = -12/100
∴ we get
A(t) = 12(100 - t) - [tex]\frac{12}{100}[/tex] (100 - t)²
= 12(100 - t) [ 1 - [tex]\frac{100 - t}{100}[/tex] ]
= 12(100 - t) ([tex]\frac{t}{100}[/tex])
= [tex]\frac{3t(100 - t)}{25}[/tex]
⇒A(t) = [tex]\frac{3t(100 - t)}{25}[/tex]
∴ we get
The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]
"Death Valley Hike"
A hiker in Death Valley begins the climb out of the valley from 150 feet below sea level. 5
minutes later, the hiker is 87.5 feet below sea level.
a) Write an equation that models this situation.
b) What is the y-intercept and what does it represent?
c) What is the x-intercept and what does it represent?
d) What is the slope and what does it represent?
e) What is the hiker's distance below sea level after 10 minutes?
Answer:
I'm pretty sure E
Step-by-step explanation:
think about it he traveled 70 feet in 5 minutes so he would still be below sea level
Posted this 4 times nobody knows?
Answer:
D. f(x) = 2^x
Step-by-step explanation:
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
The base is always 2. The exponent changes and is x.
Answer: D. f(x) = 2^x
Hi please help me.. will give brainlest
Answer:
Volume = l*w*h
Equation: 1620 = 9*9*h
1620=81h
h=20 cm
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
(9³×m)3
Step-by-step explanation:
Hope it helps you
I need help please ????! Anyone wanna help me
Answer:
the inverse operation for addition is subtraction
Can someone help fast to find a and c
Answer: 15 10
Step-by-step explanation:
Solve for x
This is also an octagon if it helps!
Answer:
x = 10
Step-by-step explanation:
it has 8 sides so:
total interior angle degrees = (180° x 8 sides) - 360° = 1080°
11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°
combine like terms:
32x + 760° = 1080°
subtract 760° from both sides of the equation:
32x = 320°
divide both sides by 32:
x = 10
what is the percent increase
from 3.49 to 3.89
Given 2x⁵-6x³-4x²-2x+4 =0 solve for x
Answer:
Step-by-step explanation:
Which transformation could NOT be used to prove that two circles are congruent to one another?
Answer: D
Step-by-step explanation:
how does the digit 5 in the number 357 compare with the digit 5 in number 465
Answer:
The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place
Step-by-step explanation:
Good luck
a^2 - 2ab^2 if a = 9 and b = 3
On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 150 kids are in the youth soccer league, then how many could be expected to have played the year before?
What is the some of the finite arithmetic series?
Answer:
455
Step-by-step explanation:
Please do not send me a link to the answers I will have u reported but please answer this in feet
Answer:
24.5
Step-by-step explanation:
A family is booking a trip to Florida and the travel agent knows that for families with children of similar ages the probability of visiting Busch Gardens is 40% and the probability of visiting Sea World given that they visited Busch Gardens is 60%; also the agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%. To determine the best package for this family, the agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Answer:
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Visited Busch Gardens.
Event B: Visited Sea World.
The probability of visiting Busch Gardens is 40%
This means that [tex]P(A) = 0.4[/tex]
The probability of visiting Sea World given that they visited Busch Gardens is 60%
60% of 40%, which means that:
[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]
The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.
This means that [tex]P(A \cup B) = 0.7[/tex]
Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
This is P(B).
These probabilities are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values
[tex]0.7 = 0.4 + P(B) - 0.24[/tex]
[tex]0.16 + P(B) = 0.7[/tex]
[tex]P(B) = 0.54[/tex]
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
A store baked 1,344 bagels and placed them into bags to sell. Each bag contained 6 bagels.How many bags of bagels were made? Explain the strategy you used to solve this problem.