Answer:
y=5.5x+100
Step-by-step explanation:
since the $5.50 is your variable, you set that to the x value, and 100 to reserve is your y intercept because it is constant.
2. Two bicyclists on a 75-mile trail ride toward each other. One bicyclist
begins at the 45-mile marker. The other begins at the end of the trail. The
expressions shown represent the distance from the Parking Lot for each
A. Write an equation to represent the bicyclists' meeting after x hours.
plify.
bicyclist when they meet.
B. After how many hours do the bicyclists meet?
Parking
Lot
75 - 10x
45 + 10x
75 mi
C. How far away are the bicyclists from the
parking lot when they meet?
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Live earns $9.50 for every two bracelets she sells. The equation y=4.75x ,where x represents the number of bracelets and y represent t total cost in dollar earned.represents this situation.what is the constant of prop rationality? What does the constant of proptionality represent in the contexts of the problem?
Answer:
Price of each bracelet = $4.75
Step-by-step explanation:
Given:
y =4.75x
In equation;
y = kx
where k is constant
So , we say that 4.75 is constant of proportionality
So price of each bracelet = $4.75
pls answer asap with a picture of your work:) i’m being timed
Answer:
x = 7
Step-by-step explanation:
A 50 mile trip uses 2 gallons of gas. How much gas would you use on a 125 mile trip?
Answer:
5o mile trip=2 gallon
50÷2=25
1 mile trip=25
so 125÷25=5
5 gallon of gas use
Struggling with geometry
Answer:
43 degrees. b and the other angle being compared too are vertical angles- vertical angles are AND have to be identical to each other.
Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (2, negative 1), W prime (4, negative 1), X prime (4, negative 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 4, 4), W prime (negative 4, 2), X prime (negative 1, 2).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 1, 2), W prime (negative 1, 4), X prime (negative 4, 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (5, negative 3), W prime (5, negative 1), X prime (2, negative 1).
Answer:
its c
Step-by-step explanation:
trust me
Answer:
c
Step-by-step explanation:
The sum of two consecutive odd integers equals 12. What are they?
xrepresents
integer
X+ 2 represents
integer
Answer:
x = 5
The two consecutive odd integers are: 5, 7
And...checking
sum = 12
Step-by-step explanation:
Sara and Gordon win some money and share it in the ratio 5:3. Sara gets £30 more than Gordon. How much did Gordon get?
Answer:
45
Step-by-step explanation:
if Sara has 30 more than Gordon and the ratio is 5:3. then sara has 2× X more than Gordon. 30 ÷ 2 = 15.
15 = X
15 × 3 = 45
Sara has 75
(sorry if it's confusing)
1+1+1+1+1000+8364+20484923743 - 24762837763
-4,277,904,652 would be the correct answer
x + 2y = 23
A.(15,-4)
B.(-15,4)
C.(15,4)
Answer:
23
Step-by-step explanation:
232323
3
3
3
3
23
23
3
this isnt correct btw
(a) Books to authors
(b) SIM cards to cell phone numbers
(c) True or False questions to answers
(d) Books to its ISBN
are one to one fuction?
Answer:Letter D.
Step-by-step explanation:
Use f(x) = 1/2x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
[tex]f(2) = \frac{1}{2} \times 2 = 1\\f^{-1}(1) = 2 \times 1 = 2\\f^{-1}(f(2)) = f^{-1}(1) = 2[/tex]
Note: [tex]f^{-1}(f(x)) = x[/tex] because f -1 and f cancel each other out.
Answer:
f(2) =
⇒ 1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
f−1(−2) =
⇒ -4
f(−4) =
⇒ -2
f(f−1(−2)) =
⇒ -2
Step-by-step explanation:
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 101010 denarius per day to support 333 legionaries and 333 archers. It only costs 333 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.
Complete question :
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Answer:
No unique solution
Step-by-step explanation:
Given that:
Cost of supporting 3 legion aries and 3 archers = 10 denarius daily
Cost of supporting one legionary and one archer = 3 denarius
Let:
Legionaries = l ; archers = a
Equation for the first sentence :
3l + 3a = 10 - - - (1)
Second sentence :
l + a = 3 - - - - - (2)
From (2)
l = 3 - a
Substituting l = 3 - a into (1)
3(3 - a) + 3a = 10
9 - 3a + 3a = 10
9 - 0 = 10
The variable cancels out, Hence, ( there is no unique solution to find the cost of each soldier)
Answer:
No; the system has no solution.
Step-by-step explanation:
We'll use L to represent the cost per day of a legionary, and we'll use A to represent the cost per day of an archer. So we have the following system of equations:
3L+3A=10
L+A=3
If we multiply both sides of the second equation by 3, we get the equation 3L+3A=9
But this indicates that the cost to support 3 legionaries and 3 archers is 9 denarius. The first equation indicates that it costs 10 denarius to support 3 legionaries and 3 archers.
The cost cannot be 9 denarius and 10 denarius at the same time.
Henceforth the answer is:
No; the system has no solution.
One day for 3000 days my dog talked for about 5 1/2 hours. How many hour had my dog talked for.
A. 16500
B. 10000
C. 90
D. 5000
Answer:
u457sups
Step-by-step explanation:
= 89 - 89b 67 = 80
Answer:
A
Step-by-step explanation:
I need help in this, the result should give 17
someone please help me
Answer:
X= 20
Step-by-step explanation:
x/5 + 13 = 17
x/5 + 13 =17
- 13. -13
x/5×5 4×5=20
So X=20
Add.
(3x + 4) + (5x - 7)
Answer:
The answer is 8x - 3
squareroot of -66 is?
Answer:
8.1240384 i
Step-by-step explanation:
Answer:
It doesn't have a square root
Step-by-step explanation:
All negative numbers don't have a square root. Because you would have to use a negative and a positive number, and that is not possible when squaring a number. For example, 8² = 64, but what is the square root of -64 there isn't one because if you did -8² = 64. So No Square Root.
4/12 equals how many thirds?
a. 0/3
b. 1/3
c. 2/3
d. 4/3
Answer:
noshe
Step-by-step explanation:
What is arccos(−1) in Radians.
Answer:
π radians
Step-by-step explanation:
The arc cos(- 1) in degrees is 180° and 180° = π radians
Question 7(Multiple Choice Worth 1 points)
(01.05 MC)The total charge on 4 particles is -36 units. All the particles have the same charge.
What is the charge on each particle?
0-9 units
-8 units
08 units
9 units
Answer:
-9 units
Step-by-step explanation:
[tex] - \frac{36}{4} = - 9 \\ [/tex]
-X/3=9 linear equations
Answer:
x = -27
Step-by-step explanation:
-x/3 = 9
Multiply each side by -3
x/-3 * -3 = 9*-3
x = -27
See attachment for math work and answer.
Find the value of x. -2x + 6 = 4(x + 6)
Answer:
x = -3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
To find the value of x, you need to get rid of parentheses! So, 4*x=4x. 6*4=24. Now we have, -2x+6=4x+24. Then we want to get all the x on one side, and the other numbers on the other side. We can add -2x to make it 0, but to make it equal, you need to add it to the other side. So, 4x+2x=6x. You can subtract 24 too! After we do all that, we get: -18=6x. To get x, we need to divide by 6. 6x/6=x. -18/6=-3.
Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
Select ALL statements that MUST be true. *
A. Angle ABC is 60 degrees.
B. Angle AQA' is 60 degrees.
C. Points C and C' coincide.
D. Triangles ABC and A'B'C' are congruent.
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
G. Segment BQ is congruent to segment C'Q.
H.Segment AQ is congruent to segment A'Q.
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
I need help with this stupid question, my teacher got me confused when he kept talking about different things!
Answer:
2 5/8
Step-by-step explanation:
1 3/4 + 7/8
add the fractions together
look for the lcm bwt 4 and 8
1 6 + 7
____
8
= 13/8 = 1 5/8
1 + 1 5/8
= 2 5/8
2= 5 j -28 one or two step equation
Answer:
j=6
Step-by-step explanation:
2=5j-28
+28 +28
30=5j
/5 /5
j=6
Are the two lines parallel, perpendicular, or neither?
Graph 1
Graph 2
Graph 3
Graph 4
Answer:
Graph 1: Parallel
Graph 2: Perpendicular
Graph 3: Neither
Graph 4: Neither
Answer:
Graph 1: parallel
Graph 2: Perpendicular
Graph 3: Neither
Graph 4: Neither
Step-by-step explanation:
The ones that are neither would technically be labeled intersecting just for future reference but it is not required in this problem. Hope this helps!
fastest land animal in the world answers
Answer:
Cheetah
Step-by-step explanation:
The cheetah or the Acinonyx jubatus can run up to 50 - 80 mph on land
Brainliest?
What is the area, in square centimeters, of the shape below?
Answer:
21.46 cm squared
Step-by-step explanation:
3.8x5.8=21.46
the rational number 9.8 is the best approximation to the tenth of which irrational number?
89 squared
92 squared
96 squared
98 squared
I WILL AWARD BRAINIEST PLEASE HELP
Answer:
12
Step-by-step explanation:
zeros are the x-intercepts of any function. to find the x-intercept of this given function, we have to set y equal to 0.
0= -1/2x+6
-6=-1/2x
12=x
x=12
the x-intercept is (12,0), meaning 12 is the zero of this function.