Answer:
(3) $185
Step-by-step explanation:
12,480 - 3,600 = 8,880
8,880 / 48 = 185
A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time walk toward each other and meet in 5 hours. The turtle walks 10 meters per hour slower than the hedgehog. If the turtle had left home 4 1/2 hours earlier than the hedgehog had left his home, the two would meet 150m from the woods. Find the distance between the garden and the woods. PLEASE EXPLAIN WHY.
Based on the calculations, the distance between the garden and the woods is equal to 383 meters.
How to calculate the distance.
First of all, we would assign a variable to the different speeds of the turtle and hedgehog as follows:
Let the turtle's speed be S₁.Let the hedgehog's speed be S₂.Mathematically, distance is given by this formula:
Distance = speed × time
Translating the word problem into an algebraic expression, we have;
If they both meet in 5 hours:
D = (S₁ + S₂) × 5
D = 5S₁ + 5S₂ ......equation 1.
Turtle's speed is 10 meters per hour slower than the hedgehog:
S₁ = S₂ - 10 .....equation 2.
If the turtle had left home 4.5 hours earlier than the hedgehog had left his home:
9.5S₁ + 5S₂ = D + 150 .....equation 3.
Substituting enq. 2 into eqn. 1, we have:
D = 5(S₂ - 10) + 5S₂
D = 5S₂ - 50 + 5S₂
D = 10S₂ - 50 .....equation 4.
Equating eqn. 3 and eqn. 4, we have:
10S₂ - 50 = 9.5(S₂ - 10) + 5S₂ - 150
10S₂ - 50 = 9.5S₂ - 95 + 5S₂ - 150
10S₂ - 50 = 14.5S₂ - 245
14.5S₂ - 10S₂ = 245 - 50
4.5S₂ = 195
S₂ = 195/4.5
S₂ = 43.3 m/h.
Now, we can find the distnace:
D = 10S₂ - 50
D = 10(43.3) - 50
D = 433 - 50
D = 383 meters.
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Savannah's favorite candles are so popular that the price has been
increased. The price for a 24 oz. candle used to be $20, but now it is $28.
By what percentage has the price been marked up? *
Answer
70%
85%
48%
40%
Answer:
40%
Step-by-step explanation:
The increase was $8. Divide the increase by the original amount.
8/20 = .4
The decimal answer 0.4 converts to a percent answer of 40%. (.4×100=40)
The candle was marked up 40%.
Solve the following equation for X: 6(4x+5)=3(X+8)+3 round to the nearest hundred
These are similar figures. Solve for x
HELP MY SISTER NEEDS HELP IN MATH SHES SO STUCK
Answer:
J
Step-by-step explanation:
It’s the only one that makes 6
What are the next three terms in the given sequence?
3, 16, 29, 42,
A) 54, 66, 78
B)
55, 68,81
C) 1,2,3
D) 55,70,83
Answer:
B) 55, 68,81
Step-by-step explanation:
42-29=13
29-16= 13
So 42 + 13= 55
55+ 13= 68
68+ 13= 81
Answer:
B) 55, 68, 81
Step-by-step explanation:
Given sequence: 3, 16, 29, 42
To determine if the sequence is arithmetic or geometric, work out the difference in the terms.
[tex]\sf 3 \underset{+13}{\longrightarrow} 16 \underset{+13}{\longrightarrow} 29 \underset{+13}{\longrightarrow} 42[/tex]
This sequence adds 13 each time, so as the common difference is constant, it is an arithmetic sequence. To find the next term in the sequence, simply add 13 to the last term:
42 + 13 = 55
55 + 13 = 68
68 + 13 = 81
Therefore, the next three terms in the given sequence are 55, 68, 81
To solve this using the general form of an arithmetic sequence:
[tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 3d = 13[tex]\begin{aligned}\implies a_n & =3+(n-1)13\\ & = 3+13n-13\\ & = 13n-10\end{aligned}[/tex]
Therefore, the next 3 terms in the sequence are:
[tex]\implies a_5=13(5)-10=55[/tex]
[tex]\implies a_6=13(6)-10=68[/tex]
[tex]\implies a_7=13(7)-10=81[/tex]
The sum of three numbers is 13. The sum of twice the first number, 5 times the second number, and 6 times the third number is 67. The difference between 5 times the first number and the second number is 7. Find the three numbers
Answer: 2,3,8
Step-by-step explanation:
if,
x+y+z=13
2x+5y+6z=67
5x-y=7
Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep
|
x+y+z=13
5x-y=7
6x+z=20 and -3x+z=2
z=8
x=2
y=3
A Man borrowed Rs 500 for 3 years at the rate of 5% find his interest and amount
Answer:
Total amount = $575.00I = PRT/100 = $75.00Equation:Total amount = interest + principle
Step-by-step explanation:
Formula:- I = PRT/100
Where,
I is interestP is principleR is rateT is time⇒ I = 500×5×3/100
⇒ I = 7500/100
⇒ I = 75
Interest is $75.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 5% per year for 3 years is $575.00.
Use the picture attached.
How many lines of symmetry does the picture have?
A.
3
B.
0
C.
1
D.
2
Answer: the answer is choice b which is 0 .
Step-by-step explanation: Any irregular quadrilateral has zero lines of symmetry because the sides are not equal so they won't form equivalent sides . This shape or quadrilateral can't be divided to lines of symmetry as the sides won't be equal . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS .
Answer:
The Correct answer is B.0.
Hope it helps you Czn!!
Please Mark me as Brainleast!!
Apr 7, 2022 12:59pm
What is the volume?
19 m
18 m
9 m
Answer:
3078
Step-by-step explanation:
you didn't specify whats the length width and height
Please help me with this math problem, (: brainly if correct
The profit to the company will be maximum that means pear company should produce 11000 phones for the maximum profit.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Function representing the cost to the manufacturer is,
C(x) = -20x²+ 48000x + 19351
A function that represents the revenue generated is,
R(x) = -23x² + 114000x
Function representing profit to the company,
Profit = Revenue generated - Cost price
= -23x² + 114000x - ( -20x²+ 48000x + 19351)
= -23x² + 20x² + 114000x - 48000x - 19351
P(x) = -3x² + 66000x - 19351
Since this function is a quadratic function, the maximum price generated would be x = -b/2a
From the given quadratic function, a = (-3), b = 66000 and c = -19351
x = - 66000/ 2(-3)
x = -66000/-6
x = 11000
x = 11000 the profit to the company will be maximum.
That means pear company should produce 11000 phones for the maximum profit.
Learn more about quadratic equations;
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Suppose a ball is dropped from a height
of 6 meters and bounces to 90% of its
previous height after each bounce.
Using the formula h = 6(0.9)n, where n
represents the number of bounces and h
represents the maximum height of the
ball after the nth bounce, what is the
approximate maximum height of the
ball after the 12th bounce? (if necessary,
round to nearest tenth)
Answer:
1.7
Step-by-step explanation
You just do 6 x 0.9 to the twelfth power.
Find the distance of CD and the coordinate of the midpoint of CD
Answer:
Explanation:
Formula to calculate the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore, length of CD having coordinates C(3,1) and D(3, 3),
[tex]CD=\sqrt{(3-3)^2+(1-3)^2}[/tex]
[tex]=2[/tex] [tex]units[/tex]
Formula to find the midpoint of CD is,
[tex]M=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
[tex]=(\frac{3+3}{2},\frac{1+3}{2})[/tex]
[tex]=(3,2)[/tex]
Therefore, length of CD = 2 units and (3, 2) are the coordinates of the midpoint of CD.
What is the slope of the line that passes
* through the points (8, -9) and (1, 3)?
Answer:
[tex]\boxed{\sf{-\dfrac{12}{7} }}[/tex]Step-by-step explanation:
Use the slope formula.
[tex]\underline{\text{SLOPE FORMULA:}}[/tex]
[tex]\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
y2=3
y1=(-9)
x2=1
x1=8
Rewrite the problem down.
[tex]\sf{\dfrac{3-(-9)}{1-8}=\dfrac{3+9}{1-8}=\dfrac{12}{-7}=\boxed{\sf{-\dfrac{12}{7} }}[/tex]
Therefore, the slope is -12/7.I hope this helps, let me know if you have any questions.
Answer:
[tex]\boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]
Step-by-step explanation:
Slope formula:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Using the coordinates (8, -9) and (1, 3), we obtain the following:
First point = (x₁, y₁) = (8, 9) = x₁ = 8 y₁ = 9Second point = (x₂, y₂) = (1, 3) = x₂ = 1 y₂ = 3Substitute the coordinates of both the points in the slope formula to obtain the fraction that represents the slope.
[tex]\implies \text{Slope} = \dfrac{3 - (- 9)}{1 - 8}[/tex]
To obtain a specific fraction or whole number that represents the slope, we need to simplify the numerator and the denominator.
[tex]\implies \text{Slope} = \dfrac{3 + 9}{-7}[/tex]
[tex]\implies \text{Slope} = \dfrac{12}{-7}[/tex]
Use parenthesis and take out the "negative sign" from the denominator.
[tex]\implies \boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]
que es una fracción decimal?
Answer:
Una fracción donde el denominador (el número de abajo) es una potencia de diez (como 10, 100, 1000, etc.). Puede escribir fracciones decimales con un punto decimal (y sin denominador), lo que facilita la realización de cálculos como la suma y la multiplicación de fracciones.
Step-by-step explanation:
espero que esto ayude
3) If the population of the United States increased to 420 million and the number of
representatives remained at 435, how many Americans, on average, would each
representative serve?
Answer:
About 965517 Americans.
Answer:
About 96,5517 people / representative
Step-by-step explanation:
420,000,000 / 435 = 96,5517.24 people per representative
4+ 10(5-3) + 4 +62 is what
18
42
21
45
Answer:
18
Step-by-step explanation:
i k
Just todo the test so its tje ansiedad
Help Please!!!!
What is the distance from the hazard buoy P to the southern landmark L2? Use this formula: d^2=(DL2)^2+(PD)^2 , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot. (5 points)
DL2 = 600ft
PD = 700ft
Answer:
922 ftStep-by-step explanation:
[tex]d^{2}=PD^{2}+D_{2}L^{2}\\\ \ \ \ \\ =\ 600^{2}+700L^{2}\\\ \ \ \ \\ =\ 850000\\\\\text \\then\\d = \sqrt{850000} =921.954445729289\\\\\text then\\d\ \approx922[/tex]
An avid golfer goes to the driving range to practice with her favorite golf club. In a random sample of 33 swings, she hits the ball, on average, 185 yards with a standard deviation of 16.7 yards. Which of the following correctly interprets the 99% confidence interval for the true mean number of yards she hits the ball with this club?
99% of all balls she hits with this club will lie between the values in the interval.
In repeated sampling, 99% of the time the true mean number of yards the ball is hit with this club is 185.
This golfer can be 99% confident that the constructed interval captures the true mean number of yards a ball will travel when hit with this club.
In repeated sampling, 99% of the time the true mean number of yards the ball will travel when she hits with this club will be captured in the constructed interval.
Answer:
99% of all balls she hits with this club will lie between the values in the interval.
Step-by-step explanation:
Edge 2022
Meade gave 1/2 of a candy bar to Max and then ate 1/6 of the candy bar himself. What fraction of the candy bar is left?
There is ___ of the candy bar left.
Let's break this problem into a few steps:
First, Meade gave 1/2 of candy to Max⇒ Amount of Candybar: Candy - (1/2)Candy = (1/2)Candy
Second, Meade ate 2/5 of the candy⇒ Amount of Candy left:
Total amount of candy - (1/6) * Total amount of candy
= (1/2) Candy - (1/6) *(1/2)Candy
= (1 - 1/6) * (6/7) Candy
= 5/6 * 1/2 = 5/12 Candy
Thus there is 5/12 of the candy left.
What is the length of leg s of the triangle below?
Answer:
s = 10
Step-by-step explanation:
This Triangle is a Right Triangle with two equal sides ( because there are two equal angles )
Pytha. Theorem
A² + B² = C²
since we have two equal sides the A = B = s
then
s² + s² = c²
2s² = c²
2s² = (10sqrt2)²
2s² = 100 x 2
2s² = 200
s² = 200/2 = 100
s = sqrt ( 100 )
s = 10
Find Which of the following is an example of the identity property of 1 ?
you didn't give any options
hope you understood...!!!
consider a protein that has 120 amino acids. how many tries, on average, would it take to randomly select the 120 amino acids in the correct sequence? Use the given conversion factor from tries to seconds to find how long it would take to complete the average number of random tries calculated in the previous problem.
With the conversion factor from tries to seconds, the time taken to to complete the average number of random tries is 24 minutes.
How to calculate the number of tries?Your information is incomplete. Therefore, an overview will be given based on the values. Let's assume that the number of tries for 10 amino acids is 2 minutes.
Therefore, the duration for 120 amino acids will be:
= (120/10) × 2
= 12 × 2
= 24 minutes.
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Please help with this question! Thank you :)
Answer:
D. 116
Step-by-step explanation:
[tex]V=(\frac{1}{3})\pi r^{2}h[/tex]
V = (1/3)π(4)²(6.9)
V = 36.8π
V ≈ 115.55
Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!
BRAINLIEST please if this helped!
3RD ONE JUST LIKE MY OTHER ONES 100 POINTS
Answer:
i dont know
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. 2 units
2. 11y+4=180=16
3. 33 (close enough)
4. 3.2( ( wouldn't take this for granted)
5.1004.8
Start time 8:10 am end time 10:55 am elPSED TIME’
Answer:
14 hours, 45 minutes
Step-by-step explanation:
The time between 8:10:00 AM and 10:55:00 PM is,
14 hours, 45 minutes, and 0 seconds or 14.75 hours
Solve the equation n2 − 29 = 260 by using square roots.
A. n = ±17
b. n = ±19
c. no real solutions
d. n = ±18
Answer:
Option A, [tex]n =[/tex] ± [tex]17[/tex]
Step-by-step explanation:
Step 1: Add 29 to both sides
[tex]n^2 - 29 = 260[/tex]
[tex]n^2 - 29 + 29 = 260 + 29[/tex]
[tex]n^2 = 289[/tex]
Step 2: Square root both sides
[tex]\sqrt{n^2} = \sqrt{289}[/tex]
[tex]n =[/tex] ± [tex]17[/tex]
Answer: Option A, [tex]n =[/tex] ± [tex]17[/tex]
Can you answer both of them pls and do it as soon as possible I don’t have enough time
Answer:
green
Step-by-step explanation:
Green covers 1/4 of the circle space where the spinner can stop
A medical team has found that the blood concentration of a particular medicine has a
decay rate of 40% in 24 hours. How much of an initial dose of 1,000 mg of the medicine
will be detected after 48 hours? Round to the nearest mg. Use the formula A=A0e^-kt. (the value of T is 48/24=2)
A. 360 mg
B. 449 mg
C. 600 mg
D. 920 mg
E. 200 mg
solve this :) i Will give brainly
Answer:
g = 3
Step-by-step explanation:
Let :
wrapped candy = wlollipop = lgreen candy = gThe equations are :
w + w + l = 23l + l + 2l = 36w x w + g x g = 58w + w - g x l = 2Finding l
Using Equation 2, solve for the value of l4l = 36l = 36/4l = 9Finding w
Using Equation 1, solve for the value of w2w + l = 232w + 9 = 232w = 14w = 14/2w = 7Finding g
Using either equation 3 or 4, we can find gLet's go with equation 3w² + g² = 5849 + g² = 58g² = 9g = 3