The speed of the boat was 35 kilometers per hour.
What is the distance?Distance is defined as the product of speed and time.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions. The operator that performs the arithmetic operations are called arithmetic operators.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Let us consider the speed of the boat is x km/h.
D = xt
Given that the current in that part of the river is 5 km per hr
Distance upstream = (x-5) km
Distance downstream = (x+5) km/h
The distance is the same up and downstream
So (x-5)(1/3) =(x+5)(1/4)
Multiplying thru by 12
⇒ 4(x-5) =3(x+5)
⇒ 4x - 20 =3x + 15
Rearrange the likewise terms and apply the arithmetic operations,
⇒ 4x - 20 =3x + 15
⇒ 4x - 3x = 20 + 15
⇒ x = 35 kmph
Hence, the speed of the boat was 35 kilometers per hour.
Learn more about the distance here:
https://brainly.com/question/13269893
#SPJ2
The race speeds for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb
to estimate the standard deviation. Round results to the nearest tenth.
185.9 179.5 189.2 176.7 1758 188.7. 188.3 177.9
Answer:The standard deviation is about 3.6.
Step-by-step explanation:
According to the Range Rule of Thumb : The range is about four times the standard deviation.
i.e. [tex]R\approx4\sigma\Rightarrow\ \sigma\approx\dfrac{R}{4}[/tex] (i)
Given , The race speeds for the top eight cars in a 200-mile race are :
185.9 179.5 189.2 176.7 175.8 188.7. 188.3 177.9
Here , minimum speed = 175.8 and maximum speed = 189.2
Range = maximum speed - minimum speed
i.e. R = 189.2-175.8 =13.4
from (i),
[tex]\sigma\approx\dfrac{13.4}{4}\\\\\Rightarrow\sigma\approx3.6[/tex]
Hence, the standard deviation is about 3.6.
−x^2+6x+19
x=5 llllllllllllllllllllllllllllllllllllllll
Answer:
24
Step-by-step explanation:
- (5*5) +6*5 +19
-25 + 30 + 19 = 24
Triangle ABC is reflected over the x-axis. What are the coordinates of the image of the vertex A?
A. A’(2, 5)
B. A’(-2, 5)
C. A’(5, -2)
D. A’(2, -5)
Answer:
D. A'(2, -5)
Step-by-step explanation:
Since point A is at (2, 5), and you are reflecting it across the x-axis, you take a look at the y-coordinate. Since it is five above the x-axis, you go five below the x-axis, or just give the OPPOSITE of 5, which is -5.
So, A' is at (2, -5).
I am delighted to assist you anytime.
When point A(2, 5) is reflected over the x-axis, its y-coordinate becomes -5 while the x-coordinate remains the same, resulting in the image point A'(2, -5).
The correct answer is option B.
When a point is reflected over the x-axis, its y-coordinate changes sign while the x-coordinate remains the same.
Let's apply this reflection to point A(2, 5):
Original point A(2, 5) has an x-coordinate of 2 and a y-coordinate of 5. When reflected over the x-axis, the x-coordinate remains 2, but the y-coordinate changes sign to -5. Therefore, the image of point A after the reflection is A'(2, -5).
So, the correct answer is:
D. A’(2, -5)
For more such information on: reflected
https://brainly.com/question/29156516
#SPJ2
In a bank account a paid out expense is called a debit and a deposit is called a credit. Would you use positive or negative integers to represent credits? Debits?
Debits are represented using negative integers, while credits are represented using positive integers.
How are debits and credits represented using integers?In the context of accounting, debits are expressed as negative integers, and credits are denoted with positive integers. This numerical representation helps maintain consistency in recording financial transactions.
Debits indicate the reduction of an account balance, while credits signify an increase. This system ensures accurate bookkeeping and financial reporting.
Read more about expense
brainly.com/question/14697297
#SPJ3
(04.05 LC)
The number of protons in an atom is equal to its
atomic number
atomic mass
atomic model
atomic medium
Answer:
atomic number (Z)
thats how they are organized in the periodic table
Answer:
The number of protons in an atom is equal to its atomic number
Step-by-step explanation:
What is the circumference of a circle with a radius of 9.2 inches?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
Answer:
What is the circumference of a circle with a radius of 9.2 inches?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
57.776 in.
the width of a rectangle is 8 inchs shorter than its length.The perimeter of the rectangle is 18 onchs what are the width and length
Answer:
width= 0.5 per side, 1 in total; length= 8.5 per side, 17 in total
Step-by-step explanation:
because 8.5*2=17, then 8.5-8=0.5. so then 0.5*2=1 and 17+1=18. I CAN EXPLAIN FURTHER
Complete the missing portion of the equation.
f(x) = 1/x^2 and g(x) =1/2x+4
f[g(x)] = 4x^2 _______
+ 16x + 16
+ 8x + 16
+16
Answer:
The missing portion is + 16x + 16.
Step-by-step explanation:
In order to get [tex]f(g(x))[/tex], we put
[tex]g(x)= \dfrac{1}{2x+4}[/tex]
into
[tex]f(x)= \dfrac{1}{x^2}[/tex],
which gives us
[tex]f(g(x))= \dfrac{1}{(g(x) )^2}[/tex]
[tex]f(g(x))= \dfrac{1}{(\dfrac{1}{2x+4} )^2}[/tex]
[tex]f(g(x))= (2x+4)^2[/tex]
we expand and get:
[tex]f(g(x))= 4x^2+16x+16[/tex].
Thus, we see that the missing portion is [tex]16x+16.[/tex]
74. Michelle can read 1.5 pages per minute. How
many pages can she read in two hours?
A 90 pages
C 150 pages
B 120 pages
D 180 pages
4t + 10t
PLEASE HELP ASAP!
Answer:
answer is 14t as 4t +10t =14t
Can someone please help me with this problem, I have been trying to do it for about an hour, but my math always comes out badly... Thanks!
Answer:
800000000000
Step-by-step explanation:
i think
Answer:
the minimum distance from earth to mars is about 54.6 million kilometers. The farthest apart they can be is about 401 million km. the average distance is about 225 million km
Step-by-step explanation: you divide 230,000,00,00 by two and then add 1.5 + 10/11.
What is the surface area of this right circular cone?
Answer:
○ B) 624π mm.²
Step-by-step explanation:
[tex]\pi r(r + \sqrt{ {r}^{2} + {h}^{2}}) = S. A. \\ \\ \pi (12)(12 + \sqrt{{12}^{2} + {40}^{2}}) \\ \\ 12\pi(12 + \sqrt{1744}) = 12\pi(12 + 38) = 12\pi(50) = 600\pi \\ \\ 600\pi ≈ 624\pi[/tex]
I am joyous to assist you anytime.
Fernando invested money in a 3–yr CD (certificate of deposit) that returned the equivalent of 3.8% simple interest. He invested $1000 less in a 6–month CD that had a 2% simple interest return. If the total amount of interest from these investments was $424.00, determine how much was invested in each CD.
Answer:
The amount invested at 3–yr CD was $3,600 and the amount invested at 6–month CD was $2,600
Step-by-step explanation:
Let
x -----> the amount invested at 3–yr CD
x-$1,000 ----> the amount invested at 6–month CD
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
3–yr CD
[tex]t=3\ years\\P=x\\r=0.038[/tex]
substitute in the formula above
[tex]I1=x(0.038*3)[/tex]
[tex]I1=0.114x[/tex]
6–month CD
[tex]t=6/12=0.5\ years\\P=x-1,000\\r=0.02[/tex]
substitute in the formula above
[tex]I2=(1,000-x)(0.02*0.5)[/tex]
[tex]I2=10-0.01x[/tex]
Remember that
the total amount of interest from these investments was $424.00
so
[tex]I1+I2=424[/tex]
substitute and solve for x
[tex]0.114x+10+0.01x=424[/tex]
[tex]0.115x=414[/tex]
[tex]x=\$3,600[/tex]
[tex]x-\$1,000=\$2,600[/tex]
therefore
The amount invested at 3–yr CD was $3,600 and the amount invested at 6–month CD was $2,600
Molly read a few books each week during the summer. How many books did she read over four weeks
To find out how many books Molly read over four weeks during the summer, multiply the number of books she read in one week by four.
Molly read a few books each week during the summer. To calculate how many books she read over four weeks, we can multiply the number of books she read in one week by four.
If she read 'x' books per week, then over four weeks she would have read 4x books.
Therefore, if she read 5 books per week, Molly would have read a total of 20 books over four weeks.
What is the measure of an interior angle of a regular octagon?
135°
45°
22°
180°
Answer:
135
Step-by-step explanation:
Answer: if theres 1080 degrees in a octagon and 8 sides. Id suppose that a regular angle in the octagon would all equal the same weighting it to 1080/8=135 degrees. Correct me if im wrong.
Answer:
135°
Step-by-step explanation:
the eights angles is 1080 degrees and there are eughts angles so yhe mesure of yhe interior amgle of a regular octagon is 135 degrees
Round 12.695 to the nearest hundredth
Answer:
12.700
or 12.7
or 12.70
What is 336 divided by 7 the long way
Answer: the answer is 48 with a remander of 0 my friend
Step-by-step explanation:
What is the simplified form of the following expression? Assume x = 0 ^5 sqrt 10x / 3x^3
Answer:
[tex]\frac{\sqrt[5]{810x^3}}{3x}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]
We have to simplify the given expression.
[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]
Multiply numerator and denominator by [tex]81x^2[/tex]
[tex]\sqrt[5]{\frac{10\cdot 81x^3}{243x^5}}[/tex]
After multiplying ,then we get
[tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
[tex]\frac{\sqrt[5]{810x^3}}{3x}[/tex]
Hence, option d is true.
Answer:[tex]\frac{\sqrt[5]{810x^3}}{3x}[/tex]
Answer:it’s D. On edge
Step-by-step explanation:
Landon bought a camper with a sticker price of $3700. If he paid $210 a
month for 24 months, how much interest did he pay?
A. $3700
B. $1340
C.$5040
D.$2520
Please help (Apex)
Answer:$1340
Step-by-step explanation:
Evaluate each expression
Answer:
1
Step-by-step explanation:
1 to any power is 1, so you are basically just saying 1*1, and that equals 1
Alejandria has four shirts and three pairs of pants. She says that she has seven possible combinations.
Answer: False, there are 12 possible combinations.
Step-by-step explanation:
Each pair of pants matches to each shirt.
She has 3 pairs of pants (1, 2, & 3) and 4 shirts (A, B, C, & D).
Here are all of the combinations:
1A 1B 1C 1D
2A 2B 2C 2D
3A 3B 3C 3D
There are 3 pants × 4 shirts = 12 different combinations
Least common multiples of 10 and 24
Answer:
Step-by-step explanation:
Find the prime factorization of 10
10 = 2 × 5
Find the prime factorization of 24
24 = 2 × 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 2 × 2 × 3 × 5
LCM = 120
3+g=1/4
Solve each equation.
Answer:
g= - 4/11 in 3+g=1/4
Step-by-step explanation:
Use the site that I will comment . But it won't show you the step to the answer if you each month. I can't submit the answer with the site's name.
f/5 - 22 = -25
what is the answer please help as soon as you can.
60 points
Answer:
f = -15
Step-by-step explanation:
f/5 - 22 = -25 -------- add -22 to both sides to isolate 'f'
f/5 = -3 ------- multiply 5 to both sides to further isolate 'f'
f = -15
What is 21=6r+5-7r someone please help thank you
Answer:
r=-16
Step-by-step explanation:
21=6r+5-7r
1) Combine alike terms on the right side (6r and -7r):
21=-r+5
2) Subtract a 5 from both sides:
16=-r
3) Divide both sides by -1:
r=-16
Step-by-step explanation:
first combine like terms : 6r and -7r = -1r
21=5 -1r
cancellation cancel the same terms on both sides of the equation by inverse operations:
subtract 5 from both sides 21-5= 16 5-5=0
16=-1r
divide both ends of the equation by -1
16÷1 = 16 1÷ -1= 1
16=r
solve 1/2 (8x+20)=18
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1
2
(8x+20)=18
Simplify: (Show steps)
4x+10=18
Step 2: Subtract 10 from both sides.
4x+10−10=18−10
4x=8
Step 3: Divide both sides by 4.
4x
4
=
8
4
x=2
Answer:
x=2
Help pls! It’s really easy but hard haha
Answer:
Step-by-step explanation:
Domain is your x values. So it's your input and independent variable.
Range is your y values. So it's your output and dependent variable.
How to solve a+5=-5a+5
The solution to the equation a+5=-5a+5 is a=0.
We are given that;
The expression a+5=-5a+5
Now,
To solve the equation a+5=-5a+5, we need to isolate the variable a on one side of the equation.
We can do this by adding 5a to both sides of the equation:
a + 5 + 5a = -5a + 5 + 5a
Combining like terms gives:
6a + 5 = 5
Subtracting 5 from both sides of the equation gives:
6a = 0
Dividing both sides of the equation by 6 gives:
a = 0
Therefore, by algebra the answer will be a=0.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ6
demonstrate on a number line 33.61 and 36.13 which is greater
Answer:the answer is 36.13 because it is greater than 33.61
Step-by-step explanation:
Is the following relation a function
The relation given yields the following points:
(6, -1), (-1, -2), (4,3), (0,3)
Because every x-value is mapped exactly to one y-value, this relation is a function.
However, because y has two repeated values of 3, it is not one-to-one.
Yes, a function.