Answer:
Let $y$ be the younger turtle's age today. Then the older turtle's age today is $11y.$ So $24$ years from now, the younger turtle's age will be $y+24$ and the older turtle's age will be $11y+24.$ However, we know the older turtle's age will be $7$ times that of the younger turtle then, which tells us that
\[11y+24=7(y+24).\]Distributing, we get $11y+24=7y+168.$ Subtracting $7y+24$ from both sides of this equation, we get $4y=144,$ so $y=36.$
This is the younger turtle's age today, but that's not what we're looking for in this problem - we're looking for the number of years from today that the older turtle's age will be triple that of the younger turtle. Let $k$ be this number of years. Since the younger turtle's age today is $y=36$ and the older turtle's age today is $11 \cdot 36=396,$ it follows that $k$ years from now my turtles' ages will be $36+k$ and $396+k$ respectively. Since we want to know when the older turtle's age will be triple that of the younger turtle, we want to know for what $k$ this equation will be true:
\[3(36+k)=396+k.\]Distributing, we get $108+3k=396+k.$ Subtracting $k+108$ from both sides of this equation, we get $2k=288.$ Therefore, $k=\boxed{144}.$
Step-by-step explanation:
A number which is divided by 5, with the result as 50 less than if the number had been divided by 6 would be; -1500
How to solve Algebra Word Problems?Let the number be x. We are asked that it is divided by 5, and the result is 50 less than if the number had been divided by 6;
(x/6) - (x/5) = 50
Multiply by 30 to get;
5x - 6x = 1500
-x = 1500
x = -1500
Let the older turtle be represented x and the younger one be y.
Todays age,
Older turtle = 11y years
Younger turtle = y years
Also the equation form as;
11y + 24 = 7(y + 24)
11y + 24 = 7y + 168
11y - 7y = 168 - 24
4y = 144
y = 144/4
y = 36
Thus;
Age of older turtle today = 396 years
Age of younger turtle today = 36 years
Therefore,
3(36 + t) = 396 + t
108 + 3t = 396 + t
2t = 292
t = 292/2
t = 146 years
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y=−x+2 y=3x−4 khan
Answer: 0
Step-by-step explanation:
2y -3x - 4 = 0
Subtract 2y from both sides of the equation.
-3x - 4 = -2y
Add 4 to both sides of the equation.
-3x = -2y + 4
Divide each term by -3 and simplify
What is the volume of a square pyramid with a base area of 36 and a height of 9 cm?
o 36 cm
o 108 cm
o 18 cm
o 324 cm
Answer:
D (108)
Step-by-step explanation:
I did test
The volume of a square pyramid with a base area of 36 and a height of 9 cm is 108 cm. The correct option is B.
What is pyramid?A pyramid is a polyhedron with triangular faces that meet at a common vertex and a polygonal base.
The name of the pyramid is determined by the shape of the base. A pyramid with a square base, for example, is called a square pyramid; a pyramid with a triangular base, a triangular pyramid; and so on.
The formula to find the volume of a square pyramid is given by:
V = (1/3) x base area x height
Substituting the given values, we get:
V = (1/3) x 36 x 9
V = 108
Thus, the correct option is B.
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Can someone explain this to me
Answer:
[tex]\huge\boxed{\sf tan \ 28 = x / 14}[/tex]
Step-by-step explanation:
Since opposite and adjacent is given, we will use tan as trigonometric ratio.
Hence,
opposite = x , adjacent = 14 and [tex]\theta[/tex] = 28
So,
[tex]\sf tan \theta = opposite / adjacent[/tex]
tan 28 = x / 14
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18071) Using the image to the right, which of the following pairs of lines are parallel? A. a||b B. c||d C. a||d D. a||c HELP PLEASE
Answer:
C
Step-by-step explanation:
Answer:
c 100 percent
Step-by-step explanation:
what is 500 times 10
Answer:
500*10=5,000
hope this helps
Answer:
5,000
Step-by-step explanation:
please correct me if im wrong
The number of bacteria can be represented by the equation A(t)=200(.75)^t, wherr A(t) is the amount of bacteria in grams and t is the number of days. a. Is this function growth or decay? b. What percent is the bacteria decreasing by each day? c. How many grams of bacteria will there be in 1 week? d. After how many days will there be half the initial amount of bacteria left?
Answer:
Step-by-step explanation:
a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.
b. The bacteria is decreasing by 75% per day exponentially.
c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A
A = 200(0.75)^7
A = 26.7 bacteria after 1 week
d. In order to calculate this we need to substitute the variable A with 100 and solve for t
100 = 200(0.75)^t ... divide both side by 200
0.5 = 0.75^t
[tex]\frac{ln(0.5)}{ln(0.75)}[/tex] = t
2.4 = t
It will be half the initial amount after 2.4 days.
Dollhouse furnishing come in different sizes depending on the size of the doll house. Whyyy ratio of the size of the dollhouse item to the size of the larger item dollhouse piano: 1 3/4 in. High real piano: 3ft 6in. High
Answer:
1: 24
Step-by-step explanation:
The ratio = size of smaller object/size of larger object = Height of dollhouse piano, h/height of real piano, H
H = 3 ft 6 in = 12 in/ft × 3 ft + 6 in = 36 in + 6 in = 42 in
h = 1³/₄ in = 7/4 in
So ratio = h/H = 7/4 in ÷ 42 in = 7/4 in × 1/42 in = 1/4 × 1/6 = 1/24
So ratio = h/H = 1/24 ⇒ h:H = 1: 24
9/3
Streak
8 20th
3970
If you save $800 in the bank with an interest rate of 4%, how much money will you
have at the end of 5 years?
Answer:
$960
Step-by-step explanation:
Given data
Principal=$800
rate= 4%
time= 5years
Applying the compound interest expression we have]
A=P(1+rt)
substitute
A=800(1+0.04*5)
A=800(1+0.2)
A=800*1.2
A=$960
HELP ME PLEASE!
The graph below shows a line graphed through the points
Answer:
The answer is C.) y = 2x + 5
Can someone help???!!!
multiple choice question pls help!
What is a W-2? ОА. A tax form given to me by my employer each tax year to show my earnings and taxes withheld. ов. A tax form I fill out when I get my job to show my employer how many deductions I will be claiming on my taxes. OC. The tax form I fill out when I have to do my taxes. D. A tax form used by my parents to claim me on their income tax.
Answer:
A) A tax form given to me by my employer each tax year to show my earnings and taxes withheld.
Gina bought a thumbdrive and 12 writting pads for $13y . Each writting pad cost$2 Find the cost of the thumbdrive
Answer:
its 24 since each one cost 2$
write the ratio in simplest form
30/55
Answer:
6:7
Step-by-step explanation:
Hope it helps
#CARRY ON LEARNING
what is the diameter of the circle below? use 2.14 for pi
Answer:
4.8
Step-by-step explanation:
d = 4.8
The diameter is the WHOLE line for the circle and it's given
answers r
6 units
7 units
8 units
9 units
Answer:
9 units
Step-by-step explanation:
Answer:
6 units
Step-by-step explanation:
6v^2-6v-660
Factor the polynomial completely
Answer:
[tex]6 (v-11) (v + 10 )[/tex]
Step-by-step explanation:
i dont have any
AnsweR 6(V-11)(V+10)
Step-by-step explanation:
step1: after factoring out 6 we have :6v^2-6v-660=6(v^2-v-110)
step 2:identify constants b and c. b+-1 and c=-110
step3:find out all pairs of -110.
-1,110 1,110
-2,55 2,-55
-5,22 5,-22
-10,11 10,-11
step4: place 10 and 11 into place holders
x^2-x-110=(x+-)(x+-)
x^2-x-110=(x+10)(x-11)
PLEASE HELPLPPPpppppp
Answer:
40
Step-by-step explanation:
it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry
Show BOTH distribution and FOIL to find the product of LaTeX: (3x - 2) and (2x + 6). also explain
Answer:
(3x-2)=1x (2x+6)=8x
Step-by-step explanation:
Help needed quick. I attacked the picture plz look
Answer: 55.3 is the correct ans
area of parallelogram=b*h
=7*7.9
=55.3
If the line segment at right is subdivided
into equal parts, what is the length of
the marked portion of the line?
75
Answer:
50
Step-by-step explanation:
75 dived into 3 parts can also be written as 75/3. 75/3 is 25 making each part worth 25. 2 segments are included in the marked portion so its 50 or (25 + 25)
what is the measure of angle 1 ? pls i need help
This is a chord, chord angle problem.
Angle 1 = (50 + 56)/2. This leads to 53 degrees.
Answer:
58
Step-by-step explanation:
(50 + 56)/2 = 116/2 = 58
Can Someone help me please I don't understand
Answer: 55 Gallons.
Step-by-step explanation: you can trust me on this, and I promise it will be correct.
6.5. Does Spending Measure Welfare? Suppose a community spends $1 million on salaries and equipment for its police department. Because it believes that citizens are now more law-abiding, the community decides to cut back on the number of police it employs. As a result, the community now spends $800,000 less on police officers. The crime rate remains the same.
a. What happens to measured GDP?
b. Does GDP accurately reflect welfare in this case?
Discuss the underlying issue that this example poses.
Answer:
(a) Measured GDP will decrease by $200,0000
(b) No
Step-by-step explanation:
(a) Gross Domestic Product (GDP) is the total value in monetary terms of al the goods produced in a geographic location.
There will be a $200,000 decrease in the value of the GDP of the community as a result of reduction in the community spending from $1 million to $800,000.
(b) Generally, GDP is not a true indicator of welfare, likewise in this case, GDP does not reflect the welfare of the community.
There's a decrease in the community spending from $1 million to $800,000 but there's an increase in the welfare of the community as a result of decrease in crime rate.
PLEASE HELP!
For what values of x are the following expressions equal to each other:
the trinomials 3x^2 - 4x +3 and x^2+x+1
Answer:
x = 0.5, 2
[or 1/2, 2 if you want in fractions)
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
x=2
X=1/2 or 0.5
Step-by-step explanation:
First of all , i transfer every thing that was in the right side to the left side of equation and put 0 instead of them , then factor the new equation out by grouping them .
Good luck , hope it was helpful .
Find the radius of the button
Answer:
the radius is 14
Step-by-step explanation:
... ....ur welcome.........
since the diameter of it is 28 the radius is half of it
Angle
& angle
Fill in all the missing angles in the picture.
are a vertical angle pair.
& angle
are an alternate interior
Angle
pair
are an alternate
Angle & angle
exterior pair
Angle
& angle
are a linear angle pair.
29°
are a corresponding
Angle & angle
angle pair
Answer:
hope this helps
Step-by-step explanation:
Angle _1_and angle _4_ are vertical angle pairs.
Angle _4_ and angle _5_ are an alternate interior pair.
Angle _2_ and angle _6_ are alternate exterior pair.
Angle _1_ and angle _2_ are a linear angle pair.
Angle _2_ and angle _7_ are corresponding angle pair.
Which has the greater value, -4 or -5?
please step by step
Answer:
-5 is the greater value
Step-by-step explanation: because they are both negative but if the other one is positive and the other one is negative, the positive is the greater value.
Please please can someone help me asap thank you
Answer:
Answers bellow
Step-by-step explanation:
FIGURE A
Decreasing by 1/4 =25%
Figure B
Increase by 1/5 = 20 %
Page 2
b The amount of sunny days this year is 75% of the amount of sunny days last year
c The amount of houses sold this month is 150 % amount of houses sold last month
d The runner's time to complete this marathon was 110% he needed to complete the last marathon(not sure about that one )( it's either 90 % or 110)
(b) Write down the coordinates of the turning point of y = x^2 - 2x - 4
Answer: [tex](1,-5)[/tex]
Step-by-step explanation:
Given
Curve is
[tex]y=x^2-2x-4[/tex]
At the turning point of the curve, the slope will be zero.
Differentiate the curve
[tex]\Rightarrow y'=2x-2[/tex]
Substitute 0 for [tex]y'[/tex]
[tex]\Rightarrow 2x-2=0\\\Rightarrow x=1[/tex]
[tex]\therefore y=1^2-2\times 1-4=-5[/tex]
[tex](1,-5)[/tex] is the turning point