Answer:
≈ 5.51 hours
Equation: 4.25h + 10
The number of hours Amanda rented the bike is 5.5 hours.
The equation used to solve this problem is 33.38 = 10 + 4.25h.
The rent cost for the helmet is $10.
The rent cost for the bike per hour is $4.25.
We need to find the number of hours Amanda rented the bike as she paid $33.38 in total.
We also have to make an equation that would solve this problem.
Consider h = number of hours Amanda rented the bike.
The cost for renting the helmet = $10.
And rent cost for the bike per hour = $4.25.
Amanda's total cost = Helmet rent cost + bike rent cost
Since we do not know the number of hours the bike was rented we will denote bike rent cost = $4.25 x h
We have,
$33.38 = $10 + $4.25 x h
33.38 = 10 + 4.25 x h
33.38 - 10 = 4.25 x h
23.38 = 4.25 x h
h = 23.38 / 4.25
h = 5.5011
Rounding to the nearest tenths we get,
h = 5.5 hours
The number of hours Amanda rented the bike is 5.5 hours.
The equation used to solve this problem is 33.38 = 10 + 4.25h.
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Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?
Answer:
-1
Step-by-step explanation:
Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.
This means we are looking for a vertical line.
Instead of lambda, I'm going to use u.
So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.
So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.
So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.
The value of λ is -1 and is perpendicular to vector a.
What is Vector?A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.
We have,
Vector a = (1, 0) and b = (1, 1).
Here the vector is visualized as line is horizontal and has equation y=0.
Now, we have a + λb is perpendicular to vector a.
So, a + λb = (1, 0) + λ(1, 1)
= (1 + λ, 1)
Now, to get the vertical component we must have λ= -1.
Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.
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If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
mCB = [?]°
Answer:
80°
Step-by-step explanation:
m<COB = 80°, it's the central angle for arc CB,
so mCB = 80°
Which equation matches the graph shown?
[tex]we conclude that option B:[/tex]
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
[tex]Is the graphed function.[/tex]
Which equation matches the graph shown?On the graph we can see a parabola that opens downwards, so it has a negative leading coefficient.
We also can see that the vertex of the parabola is on the point (3, -5)
Then the equation of the parabola is something like:
y + 5 = a*(x - 3)^2
Where a is a negative real number.
The only option of this form is option B, so we conclude that option B:
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
Is the graphed function.
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can someone please help me out marking brainliest
pls help. i will give brainliest
Answer:
247 = j - 285
Step-by-step explanation:
Anything that is labeled with "is" will be what the entire equation is equal to. (Also because the instructions are asking for an equation which is equal to something). Also, fewer than is the subtraction of two things. In this case it will be 285 and j. In the end the equation will be:
247 = j - 285
Hope this helped.
what is this please tell answer
Answer:
x=6, y=4, z=8
(c) 6I hope this is helpful!
A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?
Answer:
8.69 per pair
Step-by-step explanation:
Take the total cost and divide by the number of pairs
26.07 /3
8.69 per pair
Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?
Answer:
4 :45 pm
Step-by-step explanation:
2 : 20 + 17 minutes = 2:37
2:37 + 1hr 1 minute = 3 : 38
3 : 38 + 1 hr 7 = 4 :45 pm
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)
60 - 27.60 = 32.4
32.4/6 = 5.4 (divide the change between 6 people)
Each person will get $5.40 back.
hope it helps :)
what represents the distance traveled and time spent traveling
Answer:
b) y
Step-by-step explanation:
joannes speed = 250/2.5 =100km/h
francois speed = 100-10 = 90km/h
after 5h, francois would have travelled 450
I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.
Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once
Answer:
x=17
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+23= 10x+6
Subtract 9x from each side
9x+23 -9x= 10x-9x+6
23 = x+6
Subtract 6 from each side
23-6 = x+6-6
17 =x
Find the value of x in the parallelogram.
Answer:
75
Step-by-step explanation:
Since the two angles are on the same side of the parallelogram, they're supplementary.
x + (2x - 45) = 180
3x - 45 = 180
3x = 225
x = 75
Help please anyoneee
Answer:
here's the answer to your question
6 less than the product of 5 and a number
A. 5-6n
B. 6+5n
C. 5(n - 6)
D. 5n-6
Answer:
D.
Step-by-step explanation:
5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.
Answer:
D. 5n - 6
Step-by-step explanation:
6 less means -6
The product of 5 and a number means 5 x n which is the same as 5n
And it wants us to subtract 6 from 5n
so we would write it as...
5n - 6
for all of the questions
with method
thankyou
Answer:
(i) 7/10
(ii) 3/10
(iii) 1/5
(iv) Rs 40,000
Step-by-step explanation:
The fraction of the salary spent on food = 1/2
The fraction of the salary spent on rented house fee = 1/5
(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10
(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10
The fraction of the remainder spent for children's education = 1/3
The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10
(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5
(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000
Let x represent his whole salary, we have;
(1/5) × x = Rs 8,000
x = 5 × Rs 8,000 = Rs 40,000
His whole salary is Rs 40,000.
Find the volume of this sphere please
As soon as possible.
==========================================================
Explanation:
"Use 3 for pi" is something I've never seen a teacher do before. Usually it's "use 3.14 for pi".
Anyway, the diameter of this cylinder is 2 inches, which cuts in half to 1 inch. This is the radius.
The height is 10 inches.
So we have r = 1 and h = 10
V = pi*r^2*h
V = 3*1^2*10
V = 30 cubic inches approximately
Answer:
V = 30
Step-by-step explanation:
1. lets find the radius
r = 1/2 diameter
2/2 = 1
r = 1
2. plug in our info into the equation!!!- using 3 for pi as said in the question
V = (pi) r^2 h
V = (3)*(1)^2*(10)
3. solve
V = 30
On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?
Answer:
[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]
1000 times
Step-by-step explanation:
Answer:
0.1% = 1 spin then
100% = ( 100×1) ÷0.1 = 1000
we are using 100% because its a sure bet it will happen but not logically
the answer is 1000
please help ASAP geometry
Answer:
A' (-6,12)
B' (9,9)
C' (-3,0)
Answered by GAUTHMATH
$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?
Answer:
the answer is 100:60:40 hope it helps
5. Which pair of equations represents parallel lines?
A. y =2x+7
Y=2x-7
B. Y=7
X=7
C. Y=2x-7
Y=-1/2-7
D. Y=2x+7
Y=x+7
Answer:
C
Step-by-step explanation:
hlpppppppppppppppppppppppppppppppppp
Answer:
4th quadrant
Step-by-step explanation:
quadrant 4 is (+,-)
Answer:
It is the 4th quadrant!
Step-by-step explanation:
Hope it helps! ;D
I NEEDDDD HELPPPPP ITS URGENTTTTTT!!!!!
Answer:
m<XUY = 40
Step-by-step explanation:
The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:
(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360
Substitute,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
Simplify,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
-14x + 262 = 360
Inverse operations,
-14x + 262 = 360
-14x = 98
x = -7
Substitute back into the equation for the measure of angle (<XUY)
m<XUY = x + 47
= -7 + 47
= 40
rationalize the denominator of 7+3√2
Answer:
31
Step-by-step explanation:
To rationalise 7 + 3[tex]\sqrt{2}[/tex] , multiply by its conjugate
The conjugate of 7 + 3[tex]\sqrt{2}[/tex] is 7 - 3[tex]\sqrt{2}[/tex] , then
(7 + 3[tex]\sqrt{2}[/tex])(7 - 3[tex]\sqrt{2}[/tex]) ← expand using FOIL
= 49 - 21[tex]\sqrt{2}[/tex] - 21[tex]\sqrt{2}[/tex] - (3[tex]\sqrt{2}[/tex])²
= 49 - 18
= 31
can someone help me with this
Answer:
Infenitely many solutions
Copy and complete the table.
Answer:
See pic below.
Step-by-step explanation:
Which graph represents the piecewise function?
Answer:
C i think sorry if its wrong
Step-by-step explanation:
Answer:
bottom left one
note the >, < ≤ , ≥
for x > 0 the dot should NOT be solid
Step-by-step explanation:
Which answer choice correctly solves for a and b?
Answer:
C
Step-by-step explanation:
Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a = 6[tex]\sqrt{2}[/tex]
Using the tangent ratio and the exact value tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{b}[/tex] = 1 , so
b = 6
In an IQ test, 4 marks are given for every correct answer and 2 marks are deducted for every wrong answer. If Crystal answered 30 questions and scored 84 marks, how many of her answer were correct?
5. Which of the following pairs of operations solve the equation 3x + 5 = 17?
a. subtract 5 then divide by 3
b. divide by 3 then subtract 5
c. add five then multiply by 3
d. multiply by 3 then add five
Answer:
a
Step-by-step explanation:
3x+5=17
3x=17-5
3x=12
x=4
