Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour
What is the area of a right triangle 6 centimeters
high with a base of 2 centimeters?
The area of the triangle enclosed by 3 sides of a triangle is 6 cm²
What is the area of a triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.
Given here: The dimensions of a triangle as 6 cm and base 2 cm
We know the area of the triangle is equal to half of the base times height,
A=1/2×6×2
=6 cm²
Hence, The area of the triangle enclosed by 3 sides of a triangle is 6 cm²
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f (x) = -x² + 6x - 18
Find f (-3)
Answer:
-45Step-by-step explanation:
Given
f (x) = -x² + 6x - 18To find f (-3) substitute x with -3
f(-3) = -(-3)² + 6(-3) - 18 = - 9 - 18 - 18 = -45f(-3) = -45Step-by-step explanation:
[tex]f(x) = - {x}^{2} + 6x - 18 \\ f( - 3) = - {( - 3)}^{2} + 6( - 3) - 18 \\ = - 9 - 18 - 18 \\ = - 45[/tex]
-45 is the right answer.HELP ME ALSO SHOW WORK PLEASE #3
Answer:
(3,-7)
Step-by-step explanation:
i’ll explain in the comments :)
Read the excerpt from Heart of a Samurai.
The water was so clear, he could see straight to the bottom. A snail was making a path like a shiny ribbon slowly unfurling on the sand.
What does the author use the most precise words to describe in the excerpt?
A. the water’s movement
B. the water
C. the snail
D. the snail’s path
Answer: D. the snail’s path
Step-by-step explanation: because The author uses the most precise words to describe the snail's path.
This excerpt has been taken from Heart of a Samurai, a historical novel written by Margi Preus in 2010. Precise words such as 'shiny', 'ribbon' and 'unfurling' have been used in the second sentence to describe the path of the snail, which is a small animal that has a wet body and moves very slowly. In other words, the author describes the way the path looks by establishing a comparison between the path and a shiny ribbon.
Hope this help
Answer:
the snails path
Step-by-step explanation:
How do I solve 1.5 to the -2 power or 1.5^-2 (its an exponent)
Answer: if the exponent is negative, you just divide the bottom number by the exponent as a positive number
If x = 3 (y + 2) minus 1 what is the value of w in terms of x and y?
A.) w = StartFraction x minus 3 y Over 3 EndFraction
B.) w = StartFraction x minus 3 y + 1 Over 3 EndFraction
C.) w = x minus 3 y + 1
D.) w = StartFraction x + 1 Over 9 y EndFraction
Answer:
B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is:
If x = 3 (y + w) -1 what is the value of w in terms of x and y?
A.) w = StartFraction x minus 3 y Over 3 EndFractionB.) w = StartFraction x minus 3 y + 1 Over 3 EndFractionC.) w = x minus 3 y + 1D.) w = StartFraction x + 1 Over 9 y EndFractionWe have an expression:
x = 3 (y + w) -1
To find the value of w in terms of x and y.
By using the distributive property:
x = 3y + 3w - 1
By arranging the equation:
3w = x - 3y + 1
Divide by 3 on both the side:
w = (x - 3y + 1)/3
Thus, the equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.
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In the figure below, what is the value of x
Answer:
x = 49°
Step-by-step explanation:
Angles in a Triangle
The sum of the internal angles in any triangle adds up to 180°.
The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.
The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:
43° + 39° + 2x = 180°
Operating:
82° + 2x = 180°
Subtracting 82°:
2x = 180° - 82° = 98°
x = 98°/2 = 49°
x = 49°
solve 0.4 , and 0.6 as a fraction .
Answer:
0.4 = 2/5
0.6 =3/5
Step-by-step explanation:
Answer:
0.4 is 2/5 as a fracture
0.6 is 3/5 as a fraction
F R E E P O I N T S ! !
Answer:
thank you
Step-by-step explanation:
happy holidays have a good day
Answer:
thank you
Step-by-step explanation:
Translate the following phrase into an expression:
“ the sum of an unknown number and 12”
Answer:
French: la somme d'un nombre inconnu et 12
Spanish: la suma de un número desconocido y 12
Latin: XII numerus ignotus est et summa
Step-by-step explanation:
y = x-1
y= x-2
show work
Answer:
for y=x-1 y=-1 and for y=x2 y=0
Step-by-step explanation:
to find the y intercept substitute x=0 so you have your answer y=-1 and y=0
What property is represented?
40 + 0 = 40
• identity
• inverse
• associative
• commutative
Identity property!
Because the identity property for addition tells us that zero added to any number is the number itself. Zero is called the "additive identity." In this case, 0 is being added to 40.
4. Is the relation shown in the table a function? Use the graph
to justify your answer.
2
4
8
y
3
2
0
y
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8
Answer:
67
Step-by-step explanais the bigges number taht u could find
Jo Beth organizes 63 party favors into gift bags.
She places the same number of favors in each
bag. How could she arrange the favors?
Answer:
She had 9 gift bags
Step-by-step explanation:
if we divide 63 by 7 we get 9
now, if we take 9 and call that our bags that means there will be 7 party favors in each bag
what is the answer of 18x 2 and 3
David buys a new racing bike for £x .He then sells it for £1584 making a loss of 12% find x
plzzzz
Answer:
E1800.00
Step-by-step explanation:
1584 and x. Change is 12.
x-1584/x=0.12
x-1584=0.12x
x-0.12x=1584
0.88x=1584
x=1584/0.88
x=1800.
Hope this helps plz hit the crown :D
write the mixed number as a fraction
4 1/3
1 2/5
3 2/3
4 1/8
1 7/10
5 1/2
2 3/8 solve this plz or my dad is going to hit me ] :
Answer:
13/3
7/5
11/3
33/8
17/10
11/2
19/8
I hope you ain't get hit, if so, find another family member to stay with :/
Round your answer to the nearest hundredth AB=
Step-by-step explanation:
[tex] \sin(20) = 3 \div x[/tex]
Multiply both sides with x :
[tex] x \times \sin(20) = 3[/tex]
And divide both sides with sin(20) :
[tex]x = 3 \div \sin(20) = 8.771[/tex]
Which gives us x=8,771
Answer:
AB = 6
Step-by-step explanation:
sin 20° = 3/?
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex]
cross-multiply: x = 6
Explain what happens when you divide a fraction by itself.
Answer:
you will get 1
Step-by-step explanation:
because it can only go into its self one time
Simplify the algebraic expression.
–9(–8p + 12) – 6p
Answer:
66+12
Step-by-step explanation:
simplified answer
Step-by-step evaluation:
-9(-8p + 12) - 6p
-9 x -8p = 72p -9 x 12 = -108
(72p + -108) - 6p
72p + -108 - 6p
(72p + −6p) + (−108)
66p + −108
Answer:
66p−108
Kai marked up the new Kobe Grinch by 35% .She sole them for $168.75 . What was the original price
Answer: 109.69
Step-by-step explanation:
100-35=65
168.75 • 65= 10,968.75/ 100= 109.69
How to solve using Substitution or Elimination??? Help!!
y=3x-1
y=2x+2
Answer:
Step-by-step explanation:
Since both equations equals y, then both equations equal each other.
3x - 1 = 2x + 2
Subtract 2x from both sides
x - 1 = 2
Add 1 to both sides
x = 3
Plug x = 3 into one equation(doesn't matter which)
y = 3x - 1
y = 3(3) - 1
y = 9 - 1
y = 8
Answer:
[tex]x=3[/tex]
[tex]y=8[/tex]
Step-by-step explanation:
From these two equations, we can substitute the first equation into the second equation (or the other way round). This gives us:
[tex]3x-1=2x+2[/tex]
[tex]3x-2x=2+1[/tex] (minus [tex]2x[/tex] and add [tex]1[/tex] on both sides)
[tex]x=3[/tex]
To solve for [tex]y[/tex], we can use substitution again:
[tex]y = 3(3)-1[/tex] (using the first equation given)
[tex]y=8[/tex]
Hope this helps :)
answer this maths question.
Answer:
IM NOT ABLE SEE THE QUESTION
Step-by-step explanation:
PLEASE TYPE AND SEND IT
Answer:
jwjwjowowowowowoowow
What is the missing step in this proof?
SOLVE THIS PLEASE, ITS GOT SOMETHING TO DO WITH SOH, CAH, TOA
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{10}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{10}[/tex] ) ≈ 36.9° ( to 1 dec. place )
A small airplane can hold 44 passengers.fifteen passengers board the plane a. Identify an inequality that represents the additional number of passengers,p, that can board the plane. •15+p<= 44•p—44<=15 • 15+p>=44•15+p<=44. Solve the inequality, the solution is: B. Which best explains whether or not 30 more passengers can board the plane. Please solve this
Answers:
Inequality is [tex]15 + p \le 44[/tex]
Choice A) 30 more passengers cannot board the plane. Only 29 more passengers can board the plane
===============================================
Explanation:
15 people are already on the plane.
p is a placeholder for a positive whole number representing the additional number of people that can get on the plane.
In total, the plane holds 15+p individuals.
This expression's largest possible value is 44. Think of it as the ceiling. In terms of math, we call it the maximum. Since at most 44 people can be on the plane, this means the inequality we'll set up is [tex]15+p \le 44[/tex]
This says "15+p is less than or equal to 44". It's the same as saying "15+p is 44 or smaller".
---------------------------
To isolate p, we subtract 15 from both sides
Doing so leads to...
[tex]15+p \le 44\\\\15+p-15 \le 44-15\\\\p \le 29[/tex]
We can see that the largest p can get is 29, meaning that at most 29 more people can board the plane. There's no way that 30 people can board. That unfortunate 30-29 = 1 person must wait for another plane.
This all shows why choice A is the answer.
----------------------------
As a way to check the answer, we can note how p = 29 leads to 15+p = 15+29 = 44. We've filled the plane to full capacity.
If p = 30, then 15+p = 15+30 = 45, and we've gone 1 seat overboard.
I forgot what a multiple is. Can someone please tell me.
Answer:
a number that can be divided by another number without a remainder.
Answer:
A multiple is a number that basically can be a number that can be divided by another number without a remainder.
Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4
Answer:
Step-by-step explanation:
0.04
All the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:
In fraction: [tex]4\% = \dfrac{4}{100}[/tex]In decimal: [tex]4\% = 0.04[/tex]How to convert percent to fraction and decimal?Percent counts the number compared to 100.
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in decimal)
For this case, the percent we have is 4%
That shows that for each 100 items, we have 4 of them. This can be written in fraction as 4/100
Solving this division, we get the result in decimal as 0.04
Thus, all the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:
In fraction: [tex]4\% = \dfrac{4}{100}[/tex]In decimal: [tex]4\% = 0.04[/tex]Learn more about fractions and percent here:
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Find the products in simplest form. 12 25 • 15 16 =
Answer:
9/20
Step-by-step explanation:
12 * 15
---------
25 x 16
180/400
To reduce, find the greatest common factor of 180 and 400.
180 / 20
-----------
400 / 20
Your answer would simplify to 9/20.
A furniture manufacturer produces chairs and sofas. Each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. The manufacturer has 300 yards of fabric available. To fulfill orders, the number of sofas must be at least twice the number of chairs. The manufacturer earns a profit of $50 on each chair and $80 on each sofa. Let x represent the number of chairs and y represent the number of sofas. Choose the function that represents the manufacturer's profit, P.
Given:
Fabric required for each chair = 10 yards
Fabric required for each sofa = 20 yards.
Total available fabric = 300 yards.
The number of sofas must be at least twice the number of chairs.
Profit on each chair = $50
Profit on each sofa = $80.
To find:
The function that represents the manufacturer's profit, P.
Solution:
Let P represents the manufacturer's profit, x represent the number of chairs and y represent the number of sofas.
Profit on 1 chair = $50
Profit on x chairs = $50x
Profit on 1 sofa = $80
Profit on y sofas = $80y
Total profit = Profit on x chairs + Profit on y sofas
[tex]P=50x+80y[/tex]
Therefore, the required profit function is [tex]P=50x+80y[/tex].
Answer:
B on edge
Step-by-step explanation: