Answer: about 6 feet
Step-by-step explanation:
3^2+5.2^2=36.4
Square root of 36 is 6
The speed of a stream is 3 km per hour. A boat travels upstream 12 km and then returns to its original position downstream along the same route. If the speed of the boat in still water is 9 km per hour, what is the average speed of the boat for the entire round trip?
Answer:
7 km
Step-by-step explanation:
let the speed of boat in still water is x km/hr.
given speed of stream is 3 km/hr.
then speed of boat upstream = ( x - 3) km/hr
speed of boat downstream = (x + 3 ) km/hr
Distance travelled upstream = 4 km
time taken to travel upstream = distance travelled upstream / speed of boat
upstream
= 4 / (x - 3 ) .............(1)
Distance travelled downstream = 10 km
time taken to travel downstream = distance travelled downstream / speed of boat
downstream
= 10 / (x + 3) ............(2)
given that boat takes same time to travel upstream and downstream.i.e; (1) & (2) are equal
i.e. 4/(x-3) = 10/ (x + 3 )
4 * (x +3 ) = 10 * (x- 3)
4x + 12 = 10x - 30
12 + 30 = 10x -4x
42 = 6x
x = 42 / 6 = 7.
i.e speed of boat in still water is 7 km/hr.
1/2x-3=9 please bhelp me
Answer:
x=24
Step-by-step explanation:
Step 1: Add 3 to both sides: 1/2x-3+3=9+3
Simplify that: 1/2x=12
Step 2: Multiply both sides by 2: 1/2x*2=2*12
Simplify: x=24
Hope this helped! :)
What is an equation of the line that passes through the point (-1, -3) and is perpendicular to the line x –2y = 14?
The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-
Make equation: y = mx + b
x = 2y + 14
2y = x - 14
y = 1/2x - 7
For a line perpendicular, the sign will be opposite and the slope will be reciprocal.
y = -2x + b
-3 = -2(-1) + b, b = -5
The equation of the line will be written as below:-
y = -2x - 5
Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
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Need help will try and mark brainliest if it lets me
Answer:
a: (4,4) B:(10,6) C:(0,2) D: over 12 E: over 3, up 2 F: up 7
On a sunny day, if a 36-inch yardstick casts a 21-inch shadow,
how tall is a building whose shadow is 168 ft?
It would be 288 ft.
What is Зх — 4y + 3x + 2y
Answer:
6x - 2y
Step-by-step explanation:
3x - 4y + 3x + 2y
combine like terms
6x -2y
hope this helps!!!
At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?
Yes Or No
Answer:
Yes, your total savings on gas is proportional to the number of beverages you purchase.
Step-by-step explanation:
What is a proportional relationship?
A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.
In this case the variables are:
number of beverage purchased
savings
Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:
savings / beverages purchase = $ 0.20 / beverage
That means that you can determine the savings by multipliying the number of beverages times $ 0.20.
For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:
Number of beverages savings ratio
1 $ 0.20 $0.20 / 1 beverage = 0.20
2 $ 0.40 $0.40 / 2 beverages = 0.20
3 $ 0.60 $0.60 / 3 beverages = 0.20
4 $ 0.80 $0.80 / 4 beverages = 0.20
this is duee in 1 hourrr helllp!!!!
Answer:
4/5
Step-by-step explanation:
Rise = 4
Run = 5
~theLocoCoco
Answer:
4/5
Step-by-step explanation:
what is the equation of a line that is parallel to the x-axis and is 3 units below the x-axis
A.x=3
B.x=-3
C.y=3
D.y=-3
what 30+30+30+4+60+9+80
Answer:
243
Step-by-step explanation:
What are the zeroes of the function?
y = (x – 3)(x + 2)(x – 2)
A. –3, 2, –2
B. –3, 2, 2
C. 3, –2, 2
D. 3, 2, 2
Answer:
Option C
Step-by-step explanation:
x - 3 = 0
Add 3 to both sides;
x = 3
x + 2 = 0
Subtract 2 from both sides;
x = -2
x - 2 = 0
Add 2 to both sides;
x = 2
describe transformation given by (x,y) (x, y + 2)
Answer:
This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the cost of one bag of candy?
$2
$4
$0
$6
Answer:
4
Step-by-step explanation:
what is the product of (3x+5) and (x+4)?
Answer:
3x^2+17x+20
Step-by-step explanation:
Answer: x = y
y = -4
y = 3x + 2
x = 8
Simplify: (-3a2b5)2
Find (x - 4)2`Find the product: (3x + 5)(4x - 1)
Use FOIL:
F: 3x*4x=12x^2
O: 3x*-1 = -3x
I: 5*4x = 20x
L: 5*-1 = -5
Combine these products to get:
12x^2+17x-5
------------------------
Which of the following is the equation of a vertical line?
x = y
y = -4
y = 3x + 2
x = 8
Answer x=8 ; The graph is the set of points where x=8.
-----------------------
Simplify: (-3a2b5)2
=(-3a^2b^5)(-3a2b^5)
=9a^4b^10
------------
Find (x - 4)^2
=(x-4)(x-4)
Use FOIL to get:
x^2-4x-4x+16
=x^2-8x+16
Step-by-step explanation:All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)
Write an equation of the line passing through the points (4,15) and (-1, 15)
i need to have more or one answer
A dog kennel owner wants to enclose a rectangular dog run. She
wants it to be five times as long as it is wide. She cannot use
more than 100 feet of fencing. Describe the dimensions of the
dog run.
****For word problems you must define the variable for the situation & write a
sentence to describe the solutions. ****
Answer:
A dog kennel owner wants to enclose a rectangular dog run. She
wants it to be five times as long as it is wide. She cannot use
more than 100 feet of fencing. Describe the dimensions of the
dog run.
****For word problems you must define the variable for the situation & write a
sentence to describe the solutions. **
Step-by-step explanation:
11
Find the arc length of the semicircle.
Either enter an exact answer in terms of toruse 3.14 form and enter your answer as a decimal
units
Show Calculator
Answer
The arc length of the semicircle is 5[tex]\pi[/tex] units or 15.7[tex]\pi[/tex] units
The arc length of the semi-circle will be equal to 11π.
What is the arc length of a semicircle?The arc length of the semicircle is defined as the length of the curved path of the circle.
The arc length will be calculated as follows:-
Arc = π x r
Arc = π x 11
Arc = 11π
Therefore the arc length of the semi-circle will be equal to 11π.
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Which statement is true about this quadratic equation? y=-2x^2+9x-12 A. There are two real solutions. B. There is one complex solution. C. There are two complex solutions. D. There is one real solution.
A quadratic equation is an equation that can be placed in the form a·x² + b·x + c = 0
The option that gives the true statement about the quadratic equation is option C.
C. There are two complex solutions
Reason:
The given quadratic equation can be presented as follows;
y = -2·x² + 9·x - 12
The factored form of the quadratic equation is presented as follows;
The radical of the given quadratic equation is therefore;
[tex]\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}[/tex], which gives the following solutions;
[tex]x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}[/tex]
[tex]x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}[/tex]
Therefore there are two complex solutions;
Learn more about quadratic equations here:
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Answer:
the answer is c
Step-by-step explanation:
There are two complex solutions.
if pml is congruent to trq find qr?
Answer:
16
Step-by-step explanation:
Which value is the solution to the equation - 8 = 6-7x?
A. -7
B. - 2
c. 2
D. 5
Answer:
-8=6-7x (subtract 6 from both sides)
-14=-7x (divide each side by -7)
x=2
the answer is C
Answer:
c: 2
Step-by-step explanation:
-8 = 6 -7x, isolate the -7 by moving the 6 to the left side of the equation so it becomes -8-6 = -7x --> -14 = -7x and then divide by both sides by -7 and then you get x =2, you can plug in the number back into the equation to make sure
What is 1/3 + 4/9 and how to solve
Answer:
7/9
Step-by-step explanation:
To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.
Is the relation a function? (0,2) (2,0) (2,2) (3,4) (6,6) *
A. Yes, the relation is a function.
B. No, the relation is not a function.
please explain it's a test
Answer:
B. no, the relation is not a function
Step-by-step explanation:
How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?
A.
3y - X = -6
4y - x = 44
B.
3y + x = -6
4y + x = 44
C.
3y - 3x = -6
4y - 4x = 44
D.
3y + 3x = -6
4y + 4x = 44
Answer: c
Step-by-step explanation:
bc i said
4) A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock? Round to the nearest tenth. SHOW YOUR WORK A) 3.9 B) 7.7 C) 15.4 D) 76.1
Answer:
B
Step-by-step explanation:
r=48.5/2
r=48.5/6.2831853071796
r=7.71901474
7.7
Algebraic expression for 7 11 16 22 29
Answer:
37
Step-by-step explanation:
Prisicas built a cabinet shaped like a rectangular prism .The length base is 9 inches and the width is 40 inches what is the area of the base of the cabinet in square inches
Answer:
360in²
Step-by-step explanation:
The base of the rectangular prism is a rectangle. Since we are to find the area of the base of the cabinet, then we just need to get the area of the rectangle.
Area of a rectangle = Length * Width
Given
Length = 9in
Width = 40in
Area of the base = LW
Area of the base = 9 * 40
Area of the base = 360in²
Therefore the area of the base of the cabinet in square inches is 360in²
Joe can run 12 miles in 125 minutes. How many miles can he run in 230 minutes? (solve and explain the steps)
Answer:
Joe will run 22.08 miles in 230 minutes.
Step-by-step explanation:
Given that Joe can run 12 miles in 125 minutes.so Joe running the miles in 1 minute is = 12/125 = 0.096 miles
unit rate = 0.096 miles/per minuteAs Joe runs 0.096 miles in one minute.
Thus, in 230 minutes, Joe will run = 0.096 × 230 = 22.08 miles
Therefore, Joe will run 22.08 miles in 230 minutes.
Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each A) write an inequality that describes the situation B) list two possible combinations of puppy and kitten magazines C) if bill bout 3 kitten magazines, how many puppy magazines can he buy?
Answer:
A) 4k + 3p < 36
B) 3 kitten magazines and 4 puppy magazines
4 kitten magazines and 6 puppy magazines
C) If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.
Step-by-step explanation:
Let:
The number of kitten magazines = k
The number of puppy magazines = p
A) Write an inequality that describes the situation
We are told:
Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each
Hence:
$4 × k + $3 × p < 36
4k + 3p < 36
B) List two possible combinations of puppy and kitten magazines
4k + 3p < 36
Bill can buy:
3 kitten magazines and 4 puppy magazines
4 kitten magazines and 6 puppy magazines
C) If bill bought 3 kitten magazines, how many puppy magazines can he buy?
Using the inequality above:
4k + 3p < 36
4k + 3p < 36
4 × 3 + 3p < 36
12 + 3p < 36
3p < 36 - 12
3p < 24
p < 24/3
p < 8
If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.
Find the equation of the line.
Use exact numbers.
y=
Answer:
y = -2x + 5
Step-by-step explanation:
y = mx + b points on the graph: (0,5) (1,3)
y = mx + 5
[tex]\frac{5-3}{0-1}[/tex] = [tex]\frac{2}{-1}[/tex] = -2
y = -2x + 5