Answer:
a. Angel has a greater flat fee
b. Difference = $130
Step-by-step explanation:
Given
Rose:
[tex]Flat\ Fee = \$50[/tex]
[tex]Rate = \$12[/tex]
Angel
Guests --- Charges
10 -------- $180
15 -------- $255
25 -------- $405
30 -------- $480
Solving (a): Who charges the greater flat fee?
We have that the flat fee of Rose is:
[tex]Flat\ Fee = \$50[/tex]
For Angel, we need to determine the equation of the given table
Start by calculating the slope (m) of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where x and y represent any two corresponding values of the guests and the charges.
[tex](x_1,y_1) = (10, 180)[/tex]
[tex](x_2,y_2) = (30, 480)[/tex]
So: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{480 - 180}{30 - 10}[/tex]
[tex]m = \frac{300}{20}[/tex]
[tex]m = 15[/tex]
Next, we calculate the equation using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 15[/tex]
[tex](x_1,y_1) = (10, 180)[/tex]
[tex]y - 180 = 15(x - 10)[/tex]
[tex]y - 180 = 15x - 150[/tex]
Add 180 to both sides
[tex]y - 180 + 180 = 15x - 150 + 180[/tex]
[tex]y= 15x + 30[/tex]
From the equation above:
The slope = 15 --- This represents the hourly rate
and
y intercept = 30 --- This represents the flat fee
This is better represented as:
Angel
[tex]Flat\ Fee = \$30[/tex]
[tex]Rate = \$15[/tex]
and
Rose:
[tex]Flat\ Fee = \$50[/tex]
[tex]Rate = \$12[/tex]
By comparison, Angel has a greater flat fee
Solving (b): Difference between total charges of 50 guests for both caterers.
For angel, the equation is:
[tex]y= 15x + 30[/tex]
and x = 50.
So:
[tex]y = 15 * 50 + 30[/tex]
[tex]y = 750 + 30[/tex]
[tex]y = 780[/tex]
For Rose,
First, we need to determine the equation.
[tex]Flat\ Fee = \$50[/tex]
[tex]Rate = \$12[/tex]
The equation is:
[tex]y = Flat\ Fee + Rate * x[/tex]
[tex]y = 50 + 12 * x[/tex]
So, the total charges for 50 guests is:
[tex]y = 50 + 12 * 50[/tex]
[tex]y = 50 + 600[/tex]
[tex]y = 650[/tex]
The difference is then calculates as:
[tex]Difference = 780 - 650[/tex]
[tex]Difference = \$130[/tex]
hey im dum dum what's 45*23455/76?
Answer:
13887.8289474
Step-by-step explanation:
i used a calculator cuz im dum too lol
Answer:
45*23455/76 = 133887.82894736
what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4
Answer:
x= 21/4
Step-by-step explanation:
have a good day
Find the value of this expression if x = 7 and y= -2
xy^2/9
7(−2)^2 /9
7(−2)^2 /9
= 28 /9
the answer above this is wrong if you’re using Plato
Help me please I’m confused
Answer:
Its c
Step-by-step explanation:
In order from less complex to more complex, which level of organization is directly after tissue?
What course level took the longest to complete? University course and costs
............ . . . m m. .
Is this a function?
Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
In my opinion I would say No but I could be wrong
Jill and Erika made 5 gallons of lemonade for their lemonade stand.
Part1: How many quarts did they make?
Part2: If they charge $2.00 per quart, how much money will they make if they sell it all?
what is wswssssssssss 4+4?
Answer: 4+4=8
Hope this helps :)
Step-by-step explanation:
Say you have four apples, and your friend gives you four more. You put together the amount of apples you have and you get 8.
Which of the following expressions shows the area, in square inches, of the circle?
(TT = 3.14)
O 3.3.14 - 22
O 3.14.32
03.14 22
03.14.3
Answer:
Step-by-step explanation:
the area of the circle A= 3.14*r^2
diameter is 6, radius is 6/2=3
it is choice 2
A=3.14*3^2
Find the angle of N
Will give branialist
Answer:
n=66
Step-by-step explanation:
6+12x+120+80+19x-1=360
205+31x=360
31x=155
x=5
Find the value of the variable that results in congruent triangles
1.
Answer:
x = 26
Step-by-step explanation:
m<B = m<E = (x + 17)°
180 - (25 + 112) = (x + 17) (sum of ∆)
180 - 137 = x + 17
43 = x + 17
Subtract both sides by 17
43 - 17 = x
x = 26
which expression is not equivelent to 2/3 x 4
Answer:
8/3Step-by-step explanation:
[tex]\frac{2}{3} \times 4\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\times c=\frac{a\times c}{b}\\\\\frac{2}{3}\times \:4=\frac{2\times \:4}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:\\2\times \:4=8\\\\=\frac{8}{3}[/tex]
66 and 2/3% as a fraction and decimal
Answer:
Answer are right here
Step-by-step explanation:
66 as a fraction is 33/50 and as a decimal, it would be 0.66
2/3 as a fraction would be 2/3 and as decimal it would be 0.66666667
HELP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
Step-by-step explanation:
U bot. Nub
2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.
Answer:
The answer is below
Step-by-step explanation:
Speed is the ratio of distance covered to the time taken. Speed is given by the formula:
speed = distance / time.
Let us assume the spider walking speed is x and its running speed is y.
If the spider walks for 10 seconds and runs for 9 seconds, she travels 85m. distance = speed * time, hence:
Total distance = distance covered walking + distance covered running
10x + 9y = 85 (1)
Also if she walks for 30 seconds and runs for 2 seconds, she travels 130m. Hence:
30x + 2y = 130 (2)
Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:
25y = 125
y =5 m/s
Put y = 5 in eqn. 2
30x + 2(5) = 130
30x = 120
x = 4 m/s
The spider walks at 4 m/s and runs at 5 m/s
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
Joshua rents an apartment in an all-brick building in the city. The value of the
belongings in the apartment is about $25,000. If Joshua wants to insure his
belongings while renting, how much will he have to pay for insurance per
year?
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
10.39 0.43 0.5
0.54
0.55 0.65 0.66 0.76
Suburb | 0.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
City
A. $107.50
B. $150.00
C. $173.50
D. S178.65
Answer:
107.5Step-by-step explanation:AOPED
Morgan's way to solve the equation |2x-7| =5 is first to write |x-3.5|=2.5. explain this approach, and then finish the job.
Answer:
Morgan divided 2 throughout the original equation, giving her |x-3.5|=2.5.
x = 6 and x = 1
Step-by-step explanation:
|2x-7|=5 -- divide by 2
|x-3.5|=2.5 and |x-3.5|=-2.5 -- since this is an absolute value equation, we have to consider both positive and negative
x-3.5 = 2.5
x = 6
x-3.5 = -2.5
x = 1
Please Explain and show answer
Looking at the graph. When x = 1, y = 15.
Meaning that each hours, the gallon of water will be filled in 15 gallons.
So in 10 hours, that'd be
10 × 15 = 150 gallons of water.
Therefore, the answer is 150 gallons of water.
How many solutions does the equation
10x – 9x + 1 = 1 + 5 - 4 have?
Answer:
One Solution: x = 1
Step-by-step explanation:
Step 1:
10x - 9x + 1 = 1 + 5 - 4 Equation
Step 2:
x + 1 = 2 Combine Like Terms
Step 3:
x = 2 - 1 Subtract 1 on both sides
Answer:
x = 1
Hope This Helps :)
PLEASE HELP!!! will mark brainliest
Answer:
you actually got all the answers
Step-by-step explanation:
Answer:
the ones you chose are correct :-)
Multiply. Write the answer in simplest form.
2 1/6 x 3 1/2
Answer:
The answer is 91/12 in simplest form.
solve for the missing value (?) 3:9=? ?:81=
Answer:
27
Step-by-step explanation:
First you need to figure out what times 9 = 81
9 x 9 =81
since you have to do the same thing on both sides of the equation you do
3 x 9
which gets you 27
sin θ = 12/37. Find tan θ.
Answer:
B
Step-by-step explanation:
Use SOHCAHTOA.
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]
Opposite side length= 12
Hypotenuse length = 37
Find the adjacent side length (b) using the Pythagorean theorem.
[tex]12^2 + b^2 = 37^2[/tex]
b = 35
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35
Choice B is the correct answer.
Answer:
Step-by-step explanation:
using sin inverse rule to get theta
[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex] <---- theta
so tan(18.9246) =12 /35
What is Square root of 296 to the nearest tenth?
Answer:
16.4
Step-by-step explanation:
√269= 16.40121946...
simplifies to 16.4 I believe
Answer: 17.2
Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:
Step 1: Calculate
We calculate the square root of 296 to be:
√296 = 17.20465053408530
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
17.20
Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:
17.2
work out the size of angle x
Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to do the same job how long would it take peter to do the same job alone?
Answer: It would take 8 hours!!
Step-by-step explanation: Hope this helps!! <3
Answer:
Peter will complete the job in 8 hours
Step-by-step explanation:
Notice that 5 1/3 hours is 16%2F3 hours.
So, their combined rate of work is 1%2F%28%2816%2F3%29%29 = 3%2F16 of the job per hour.
Steven's rate of work is 1%2F16 of the job per hour.
Hence, Peter's rate of work is the difference 3%2F16 - 1%2F16 = 2%2F16 = 1%2F8 of the job per hour.
It implies that Peter will complete the job in 8 hours, working alone.
6-3
Pleass helpppppp
Answer:
3
Step-by-step explanation:
-3 is 3
1) 16% of what number is 14?
2) 52 is what percent of 156
Answer: first one answer is 2.24
second one answer is 81.12