Answer:
The cost increases by $8.50 for each person who attends the event.
Step-by-step explanation:
The company charges an initial fee of $45.00
The cost increases by $8.50 for each person who attends the event.
The correct options are B and C
As per the given data:
The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.
By comparing this equation with the slope intercept form y = mx + c
slope(m) = 8.50
We can find out the initial fee charged by the company by substituting
x = 0 {zero people}
y = 8.50(0) + 45.00
y = $45.00
For increase in cost with each person attending the event:
Cost for 2 persons - Cost for 1 person
= 8.50(2) + 45.00 - [8.50(1) + 45.00]
= 8.50(2) - 8.50(1)
= $8.50
This is the slope of the line
Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.
To learn more on Slope, click:
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A Major League Baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field-level tickets.
Answer:
There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets
Step-by-step explanation:
Let x represent the number of reserved tickets, y represent the number of field level tickets and z represent the number of box seat tickets.
Given that 10 total tickets were bought for $370, hence this can be represented by the equation:
20x + 50y + 100z = 370 (1)
x + y + z = 10 (2)
Also there was twice as many reserved tickets as field-level tickets. This can be represented by the equation:
x = 2y
x - 2y = 0 (3)
solving equations 1, 2, and 3 simultaneously gives:
x = 6, y = 3 and z = 1
There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets
find the slope of the line passing through the points (-2,-8) and (7,-8)
Answer: 0/9
Step-by-step explanation: Hi there!
First, we have to put the points into the y2-y1/x2-x1 form.
Take the y value from the second point (-8) and the first point y value (-8)
and subtract.
-8 - (-8)
to get 0
Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.
7 - (-2)
to get 9
so when we put that together...
we get 0/9
So the answer is 0/9.
Hope this answer helps you!
Which one?
A. B. C. or D?
Answer:
Its B
Step-by-step explanation:
Its B prob
can you solve this? :-5x =25
Answer:
5
Step-by-step explanation:
-5x =25x
-5 -5
you divide both sides by -5
and you get x=5
hunn please click thanks button
HELP ME SOLVE THIS PLZ (show how to solve it)
-2|2x+4|+10>-6
Answer:
-6 < x < 2
Step-by-step explanation:
-2|2x+4|+10>-6
Subtract 10 from each side
-2|2x+4|+10-10>-6-10
-2|2x+4|>-16
Divide by -2, remembering to flip the inequality
-2/-2|2x+4|>-16/-2
|2x+4|<8
We have two solutions, one positive and one negative( remember to flip the inequality)
2x+4 < 8 and 2x+4 > -8
Subtract 4 from each side
2x+4-4 < 8-4 and 2x+4-4 > -8-4
2x < 4 and 2x > -12
Divide by 2
2x/2 < 4/2 and 2x/2 > -12/2
x <2 and x > -6
-6 < x < 2
Answer:
x<2 and x>-6
Step-by-step explanation:
First, get rid of anything on the outside of the absolute value bars. Subtract the 10 on both sides first.
-2|2x+4|+10>-6
-10 -10
-2|2x+4|>-16
Now, divide by -2 on both sides.
-2|2x+4|>-16
/-2 /-2
|2x+4|<8
Just so you know, any time you multiply or divide by a negative, flip the inequality sign. Now because the numbers in the absolute bars are by themselves, you can start to finally solve. But, when you have an equation with absolute bars and you have the numbers in the absolute bars by themselves, you always have to split it into two equations. The equations have to be identical, but the number on the opposite side of the x has to be negative. Now, you solve both equations just like regular ones. Also, flip the sign for the inequality with the negative number.
|2x+4|<8 and |2x+4|>-8
-4 -4 -4 -4
2x<4 2x>-12
/2 /2 /2 /2
x<2 and x>-6
I hope this helps you out!!! Have an amazing day C:
1. Quinn is knitting a scarf with his grandmother. Yesterday, his grandmother
used 3/4 of a
skein of wool and Quinn used 1/12 of a skein. How much more wool did
Quinn's
grandmother use than Quinn?
What is the value of 3 divide 1 1/4 in simplest form
Answer:
2.4
Step-by-step explanation:
20 characters nsnsjnsjs
what is the answer? -3/4-1 3/8
Answer:
[tex]\frac{-19}{8}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{4}-\frac{13}{8}[/tex]
[tex]-\frac{3}{2^2}-\frac{13}{2^3}[/tex]
[tex]\frac{2(-3)+(-13)}{2^3}=\frac{-19}{8}[/tex]
hope it helps u
1/2r + 2 (3/4r - 1) = 1/4r + 6
Answer:
r=32/7
Step-by-step explanation:
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
Step 1: Simplify both sides of the equation.
1/2r + 2 (3/4r - 1) = 1/4r + 6
1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)
1/2r+3/2r+-2=1/4r+6
(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)
2r+-2=1/4r+6
2r-2=1/4r+6
Step 2: Subtract 1/4r from both sides.
2r-2-1/4r=14r+6-14r
7/4r-2=6
Step 3: Add 2 to both sides.
7/4r-2+2=6+2
7/4r=8
Step 4: Multiply both sides by 4/7.
(4/7)*(7/4r)=(4/7)*(8)
r=32/7
Answer: r=32/7
hope this helps :)
Professor Florido is studying a new hybrid watermelon. She knows that a watermelon seed has probability 0.88 of germinating. She decides to plant 5 seeds. (a) What is the probability that exactly 2 seeds will germinate? ( Round to 4 decimals) (b) What is the probability that at most 3 seeds will germinate? ( Round to 4 decimals)
X=−2 x=−1 x=1 6(0.5x−1.5)+2x=−9−(x+6) x = − 2 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = − 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) 4(0.5x−2)+3x=−14−(x+6) x = − 2 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = − 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) 8(0.5x−3)+4x=−9−(x+6)
Given:
Three equations are
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
Three solutions are [tex]x=-2,x=-1,x=1[/tex].
To find:
The solution of each equation from the given solutions.
Solution:
We have,
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
Using distributive property, we get
[tex]3x-9+2x=-9-x-6[/tex]
[tex]5x-9=-15-x[/tex]
Isolate variable terms.
[tex]5x+x=-15+9[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6.
[tex]x=-1[/tex]
Similarly,
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]2x-8+3x=-14-x-6[/tex]
[tex]5x-8=-20-x[/tex]
[tex]5x+x=-20+8[/tex]
[tex]6x=-12[/tex]
[tex]x=-2[/tex]
Now,
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
[tex]4x-24+4x=-9-x-6[/tex]
[tex]8x-24=-15-x[/tex]
[tex]8x+x=-15+24[/tex]
[tex]9x=9[/tex]
[tex]x=1[/tex]
Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.
kala needs to make a total of 80 deliveries this week. So far she has completed 28 of them. What percentage of her total deliveries has kala completed?
Answer:
35 %
Step-by-step explanation:
50 % of 80 is 40 so 28% of 80 is 35%
if you just divide 80 by 28 you will get 35.
Determine the distance from point (2,4) to (4,-2) Plz help asap
Answer:
Step-by-step explanation:
What is the area of triangle below?
Consider the pairs of ratios given and determine whether or not the ratios form a proportion 8 old rings for every 1 ring 16 old rings for every 2 rings A) Yes B) No Save
Answer:
b
Step-by-step explanation:
Amanda's book bag is 0.10. Some of Amanda's pens are removed and replaced with pink pens. Her book bag still contains a total of 20 pens. If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag?
Answer:
The number of pink pens can be 19 .
Step-by-step explanation:
Total Number of pens = 20
Let x be the number of pink pens
We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag
Probability of choosing a pink pen = [tex]\frac{\text{Number of pink pens}}{\text{Total Number of pens}}[/tex]
Probability of choosing a pink pen =[tex]\frac{x}{20}[/tex]
ATQ
[tex]\frac{x}{20}[/tex]≈1
x≈20
So, the number of pink pens can be 19 .
HELP PLEASE THIS IS DUE IN FIVE MINUTES
Answer: 0, 50
Step-by-step explanation: (h=0), 0=2t+100
2t=100
t=50
hopefully this helps
PLEASE HELP WITH THESE
y- (-8) = (-5)
x + 21 = (-2)
x + 21 = (-2)
(-10) + r = (-2)
(-6) + b = 9
Step-by-step explanation:
1. y = -3
2. x= -23
3. r = 8
4. b= 15
Help!
Which solution(s) are correct?
Answer: D. Matthew’s, Rhoda’s, and Ming’s
Step-by-step explanation:
√0.89 ≈ 0.94
Anyah is incorrect because both of her decimals are smaller than √0.89.
Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.
Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.
Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.
I hope this helps!
Given g(x)=-5x+2,find g(4)
Answer: -18
Step-by-step explanation:
how do i graph x = -1
Answer:
red line shown is how to graph x = -1
Step-by-step explanation:
Please please please please help please please help
Answer:
B
Step-by-step explanation:
For a class experiment, Sally's class weighed a log before and after
subjecting it to termites. Before subjecting it to termites, the log
weighed 2/3 of a pound. After the termites, the log weighed 5/12 of a
pound. How much weight did the termites take from the log?
Answer:
Jack Barlow
Step-by-step explanation:
need help with number 2 please.
Answer:
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
Ninja bosss yup yup!‼️
Answer:
OMG yessss
Step-by-step explanation:
WRITE A COMPOUND INEQUALITY FOR EACH GRAPH PLEASEEE HELP DUE IN !) MINUTES!!!!!
Answer:18-1 closed right 5
19-3 open right5
20 0 open left 1 3 closed right 1
21 -4 open left 2 -3 open right 3
22 3 close left 2 6 open right 1
23-3 open left 1 0 open right 2
Step-by-step explanation:
What is the slope of the line that passes though the points (5, -11) and (-9, 17)?
A .-2
B. 2
C. −12 1/2
D .7
Last week Karen spent $121.35 on food for her family. She only has $200 to spend every two weeks. How much does hse have left to spend?
Answer:
$78.65
Step-by-step explanation:
take 200-121.35=78.65
$78.65
Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?
Answer:
Erik's chips are a better buy by 10 cents per ounce
Step-by-step explanation:
Erik's chips cost by ounce: $0.32
Al's chips cost by ounce: $0.42
Sorry if this didn't help. This is my first answer
Find the average rate of change over the interval [-4, -1] *
f(x) = x^2?
Answer:
ijbibhibhhhvhj
Step-by-step explanation: