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]
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
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
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
HELP FASTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
Step-by-step explanation:
U bot. Nub
In order from less complex to more complex, which level of organization is directly after tissue?
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
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%
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
Multiply. Write the answer in simplest form.
2 1/6 x 3 1/2
Answer:
The answer is 91/12 in simplest form.
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
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
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
work out the size of angle x
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
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
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
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
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.
PLEASE HELP!!! will mark brainliest
Answer:
you actually got all the answers
Step-by-step explanation:
Answer:
the ones you chose are correct :-)
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
6-3
Pleass helpppppp
Answer:
3
Step-by-step explanation:
-3 is 3
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
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?
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 :)
Help me please I’m confused
Answer:
Its c
Step-by-step explanation:
What course level took the longest to complete? University course and costs
............ . . . m m. .
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.
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]
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
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.