Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.
a) Write a linear equation to describe the total cost of renting the boat.
b) What is the cost of renting the boat for 5 hours?
i need points pleaseeeeeeeeee
Answer:
a) y=8x+12
b) $52
Step-by-step explanation:
for a)
the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.
for b)
in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:
y=8x+12
y=8(5)+12
y=40+12
y=52
Please Help me with X and Y
Answer:
a) x = 69°
b) y = 69°
Step-by-step explanation:
a. Given that AB and CD are parallel lines, therefore:
x = 69° (alternate interior angles are congruent to each other)
b. y + 111° = 180° (consecutive interior angles are supplementary)
y = 180° - 111° (substraction property of equality)
y = 69°
What is greater than 525.06 but less than 525.6?
Answer:
A
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzz helppppppppppppp meeeeeeeeee
Answer:
2m+14
Step-by-step explanation:
I hope its right
Answer:
2(m+14)
Step-by-step explanation:
m represents how much Ashton has.
-add 14 to how much Ashton has
(m+14) represents how much Riley has.
-multiply how much RIley has by 2
2(m+14) represents how much Peyton has.
A gambler claims that horses in a horse race that start closer to the rail have an advantage over horses that start further from the rail because the horses closer to the rail have a shorter distance to travel to win the race. In a sample of 120 races, the following data show the number of winners from each starting position. If the starting position is not a factor then each starting position should have produced 20 winners.
Starting position: 1 2 3 4 5 6
# of Winners: 25 22 18 19 21 15
Test the hypothesis at the 5% level of significance to see if starting position is a factor.
Answer:
Hence, the p-value ( 0.699986) > 0.05, FAIL TO REJECT THE NULL HYPOTHESIS
there is no significant evidence that starting position is a factor in horse races
Step-by-step explanation:
Given the data in the question;
Starting position: 1 2 3 4 5 6
# of Winners: 25 22 18 19 21 15
Mean x" (E) = (25+22+18+19+21+15)/6 = 120/6 = 20
Observed/Expected value table;
O E ((O-E)²) / E
25 20 1.25
22 20 0.2
18 20 0.2
19 20 0.05
21 20 0.05
15 20 1.25
∑ 3
so using chi square = ∑(((O-E)²) / E) = 3
DF = n-1 = 6-1 = 5
then, the critical chi square value is;
significance level = 0.05
chi square( critical ) = 11.07049769
from table;
p - value = 0.699986
Hence, the p-value ( 0.699986) > 0.05, FAIL TO REJECT THE NULL HYPOTHESIS
there is no significant evidence that starting position is a factor in horse races
A teacher writes 0.105 on the board. Lisa calls this number "one hundred five thousandths."
Stephen calls this number "one tenth, five thousandths." Mathematically justify why Lisa's
and Stephen's statements are equivalent. Hint: Use at least one model.
Find the equation of the linear function represented by the table below in slope-
intercept form.
х
у
1
8
2
12
3
16
4
20
Answer:
y = 4x+4
Step-by-step explanation:
Using the coordinate point (1, 8) and (2, 12) from the table
Slope m = 12-8/2-1
m = 4/1
m = 4
Get the intercept
Substitute m = 4 and (1, 8) into y = mx+c
8 = 4(1) + c
8 - 4 = c
c = 4
Get the required equation
y = 4x + 4
Hence the required linear equation is y = 4x+4
A teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. What fraction of the tea from a full cup is needed to fill 1 entire container?
Which of the following statements about UK and UL is true?
O A. JL is longer than JK.
O B. UK and JL are the same length.
c. UK is 7 units long
D. UK is longer than UL
Answer:
B
Step-by-step explanation:
Complete the ratio table with the numbers:
A) 18, 6, 44, 10
B) 20, 5, 45, 10
C) 24, 5, 48, 4
D) 28, 6, 44, 9
Answer:
C
24, 5, 48, 4 because blue is 6 times green
Step-by-step explanation:
Hope this helps
What additional information must be known to prove the triangles similar by SAS?
Answer:
We must know what DF and JK are.
Step-by-step explanation:
SAS similarity is when two sides are proportional and the corresponding angles are congruent.
K and F are congruent (A)
KL and GF seem to have a proportion of 5/6 or 6/5 (S)
We need the other S to prove SAS.
A light bulb consumes 3600 watt hours per day how long does it take to consume 15300 watt-hours
Answer:
4.25 days
Step-by-step explanation:
Divide 15300 by 3600 to get the amount of time it takes. It takes 4.25 days for the bulb to consume 15300 watt-hours.
Answer:
11700
Step-by-step explanation:
15300-3600=11700
Pls help 20 points this question is for my friend
Answer:
750 cubic feet
Step-by-step explanation:
11.
(a) a radius 10.00
(bla diameter 17.5cm
2. Find the area in hectares of a rectangular piece of land
1.25km by 0.75km.
Answer:
Step-by-step explanation:
1.25 km × 0.75 km = 0.9375 km²
1 km = 100 hectares
0.9375 km² = 93.75 hectares²
If lia has 1,00000$ and she spend 2,000 on her nails and feet to get done then.She buys new chanel shoes that cost 1,000 and then buys 400$ worth of clothes how much money will be left? Pls help
Answer:she will have 96,600
Step-by-step explanation:
Hope this helps
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 8,300 miles. What proportion of these tires last between 40,000 and 45,000 miles
Answer:
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
Step-by-step explanation:
P [ 40000 ≤ X ≤ 45000 ] = ?
To find the probablity P [ X ≤ 40000 ] = ?
z(s) = ( X - x ) / σ
z(s)= ( 40000 - 6000 )/ 8300
z(s) = -20000/8300
z(s) ≈ - 2,41
Then
from z-table we find P [ X ≤ 40000] = 0,00820
Now again:
For P [ X ≤ 45000 ]
z₂ = ( X - x ) / σ
z₂ = ( 45000 - 6000 ) / 8300
z₂ = - 15000 / 8300
z₂ = - 1,8072
z₂ ≈ 1,81
From z - table
For P [ X ≤ 45000 ] = 0,03593
Then:
P [ 40000 ≤ X ≤ 45000 ] = 0,03593 - 0,00820
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
Prism A is a triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The prism has a height of 4 meters. Prism B is a rectangular prism with length of 8 meters, width of 2 meters, and height of 8 meters.
Which prism has the least volume?
Prism ________
Answer:
A
Step-by-step explanation:
Prism A Volume
The Column of Prism A = Base (Area) * Height.
I think you have to assume that the triangle is a right triangle.
Area of the triangle = 1/2 * 9 * 7
Area of the triangle = 1/2 63
Area of the triangle = 31.5
Volume of the Prism = area of the triangle * thickness
Volume of the prism = 31.5 * 4
Volume of the prism = 126 m^3
Prism B = L * w * h
Prism B = 8 * 8 * 2
Prism B = 128
Prism A has the least volume by just a little.
Answer:
Prism A has the least volume
Step-by-step explanation:
I just know ^w^
3/4 x 25 please bro and i need to make this longerrrr
Answer:
18.75
Step-by-step explanation:
18.75
Adam is making mini berry pies. For the filling, he mixes 1 pound each of raspberries,
blueberries, and blackberries. Then, he scoops 6 ounces of the filling into each mini pie tin. If
he wants to use up all of his filling, how many mini pies can he make?
Answer:
8 pies.
Step-by-step explanation:
4/5 x 45 this is due in in tree min
Tamanika received a raise in her hourly pay, from
$16.00 to $19.36. Find the percent change.
help me with my math please
Answer:
18
Step-by-step explanation:
hope this helps
Answer:
18
Step-by-step explanation:
Solve the system of equations
y equals 5 x plus 4
y equals 7 x plus 6
Answer:
x = -1 , y = -1
Step-by-step explanation:
We have system of equations and are asked to solve them.
We are looking for x and y, since both equations start with y, we can plug one to the other.
y = 5x + 4
y = 7x + 6
5x + 4 = 7x + 6
Now isolate x byitself to get x :
5x + 4 = 7x + 6
Subtract 4 from both sides :
5x = 7x + 2
Subtract 7x from both sides :
-2x = 2
Divide -2 by both sides :
x = -1
Now that we know what x is, we can substitute it into the equations seapraretly.
y = 5(-1) + 4
y = 7(-1) + 4
y = -5 + 4
y = -7 + 6
-5 + 4
-1
-7 + 6
-1
Therefore, both x and y equal -1
Step-by-step explanation:
5x4=20
7×6=42[tex]5 \times 4 = 20[/tex]please help me!! i will mark brainliest!!
Answer:
350?
Step-by-step explanation:
Which pair of numbers has 2 as its greatest common factor
Answer:
6 and 12 have the greatest common factor of 2
Answer:
4
Step-by-step explanation:
Suppose the either grade goes on a field trip; 283 students and 10 teachers. Each bus holds 72 people and costs $610. How much money is needed? Explain how you reused your model.
Answer:
228750
Step-by-step explanation:
283×610=172630
10×610=6100
82×610=50020
Which answer choice shows 27.699 rounded to the nearest hundredth?
OA) 27.610
O B) 27.61
OC) 27.70
OD 27.71
Solve the system of linear equations by substitution. Check your solution.
Answer:
(x,y)= (- 2, - 1)
Step-by-step explanation:
Please Help
a in a complete sentence, describe the angle relationship in the diagram
Using the equation y = 2x – 3, what would the input need to be for an output of 7?
Answer:
5
Step-by-step explanation:
We have an equation and are asked to find the input of x when y = 7.
The output = y = 7
The input = x
7 = 2x - 3
2x - 3 = 7
We need to find a number that multiplied by 2 which then is subtracted by 3 equals 7. We can use the backwards method to solve our answer.
2x - 3 = 7
7 + 3 = 2x
10 = 2x
Solve for x by dividing 2 from both sides :
x = 5.
Therefore, you would need an input of 5 to get 7 as the output.
Proof :
2(5) - 3 = 7
10 - 3 = 7
Answer:
x = 5
Step-by-step explanation:
Remark
This is a fancy way of asking you what is the value of x when y = 7
Equation
7 = 2x - 3
Solution
7 = 2x - 3 Add 3 to both sides
7 + 3 = 2x Combine the left.
10 = 2x Divide by 2
2x/2 = 10/2
x = 5