I. Describing a Translation
Example 1: Describe the following translation in words and in coordinate notation
On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.15
per minute. The 40 to Go Plan costs $40 per month plus $0.05 per minute.
a) Write an expression that represents the monthly bill for x minutes on the EZ Pay Plan.
b) Write an expression that represents the monthly bill for x minutes on the 40 to Go Plan.
c) Write an equation to represent the point at which the monthly bills for the two plans are equal.
d) Solve the equation, showing each step.
e) Interpret the solution of the equation within the context of the problem.
Answer:
a. 0.15x
b. 40+0.05x
c. 0.15x=40+0.05x
15x=4000+5x
x=400 min
Please help me!!!!!!!!!!
Calculate the Mean: 24, 27, 31, 21, 27
Answer: 26
Step-by-step explanation:
mean is the same thing as finding the average
you add up all the numbers then divide by the amount of numbers there are
24+27+31+21+27=130
130\5=26
Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies. The rest of the class gets nothing and begins to collectively cry. How many cookies were in the batch, to begin with?
Answer:
36
Step-by-step explanation:
After dylan took half of the cookies and 6 were left there were
12 before he took any
Than If Koji took a 3rd when 12 were left there were 18
Than if Paige took a 1/4 of what was left when there were 18 there were 24
This same pattern is the same for the next 2
24+6 = 30 and than 30+6 = 36
TLDR;
remove 6 per person meaning there were 36 to begin
Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies then the batch initially had 432 cookies.
Mrs. Balbas baked a batch of cookies for her math class.
1. Aaron takes 1/6 of the cookies:
If "C" represents the initial number of cookies, Aaron takes (1/6)C cookies, leaving (5/6)C cookies.
2. Matthew takes 1/5 of the remaining cookies:
Matthew takes (1/5)(5/6)C = (1/6)C cookies, leaving (5/6)C - (1/6)C = (2/3)C cookies.
3. Paige takes 1/4 of the remaining cookies:
Paige takes (1/4)(2/3)C = (1/6)C cookies, leaving (2/3)C - (1/6)C = (1/2)C cookies.
4. Koji takes 1/3 of the remaining cookies:
Koji takes (1/3)(1/2)C = (1/6)C cookies, leaving (1/2)C - (1/6)C = (1/3)C cookies.
5. Dylan takes half of the remaining cookies:
Dylan takes (1/2)(1/3)C = (1/6)C cookies, leaving (1/3)C - (1/6)C = (1/6)C cookies.
6. Gavin takes the last 6 cookies:
The remaining (1/6)C - 6 cookies are taken by Gavin.
7. The rest of the class gets nothing, leaving 0 cookies.
Now, let's add up the amounts taken by each student:
- Aaron: (1/6)C
- Matthew: (1/6)C
- Paige: (1/6)C
- Koji: (1/6)C
- Dylan: (1/6)C
- Gavin: 6 cookies
Adding all these together, we get:
(1/6)C + (1/6)C + (1/6)C + (1/6)C + (1/6)C + 6 = (5/6)C + 6
Since the remaining cookies are accounted for,
we know that (5/6)C + 6 = 0, which gives us C = 432.
Therefore, the initial batch had 432 cookies.
To know more about Initial Batch here
https://brainly.com/question/31873990
#SPJ3
Find the size of each missing angle. (image attached)
Answer:
a is right angle
Step-by-step explanation:
Evan's pizzeria made 4 thin-crust pizzas and 30 thick-crust pizzas. What is the ratio of the number of thick-crust pizzas to the total number of pizzas?
Answer:
30:34
Step-by-step explanation:
30 = thick crust pizza
4 = thin crust pizza
total = 34
=
30:34
Help needed asap please
Answer:
I don't understand the language you used
The Mediterranean climate is one of the:
polar climates
low-latitude climates
maritime climates
mid-latitude climates
its one of the maritime climates
Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on frozen foods. if she spent 22$ on frozen foods. how much money did she spend on fresh foods?
Answer:
$44
Step-by-step explanation:
Let the total amount of money be represented by Y
Amount spent on fresh food =
[tex] \frac{4}{7} \times y[/tex]
Remainder =
[tex]y - \frac{4}{7}y = \frac{3}{7} y[/tex]
Amount spent on frozen foods = two-thirds of remainder = $22
[tex] = \frac{2}{3} \times \frac{3}{7} y = \frac{2}{7} y[/tex]
[tex]\frac{2}{7} y = 22 \\ y = 22 \times \frac{7}{2} \\ y = 77[/tex]
The total amount for grocery shopping is $77
Therefore, Brittany spent $44 on fresh foods
[tex] = \frac{4}{7} \times 77 \\ = 4 \times 11 \\ = 44[/tex]
Please help me! I need details! Please be specific. Thank you!
A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of green results for 240 trials.
Red Orange Yellow Green Blue
15 17 16 18 14
18
36
54
72
Answer:
I'd guess 54
Step-by-step explanation:
If the sections are all equal sized, there's an equal chance the arrow/spinner would land on them. If you divide 240 by 5, you get 48. The closest number to 48 is 54.
Identify each solution as rational or irrational square root of 4 times 2/5
Answer:
I hope this helps <3
Step-by-step explanation:
Using a calculator, √1.6=1.26491.... , which is an irrational number
Find the number that makes the ratio equivalent to 21:9.
84:
Answer:
36
Step-by-step explanation:
21/9=84/x
x=84(9/21)
x=36
Help!
Farmer Doug has some pigs and chickens.
One day he counted 24 legs 7 heads in the barnyard.
How many of each animal did Farmer Doug Count? __
With Explanation, please!
Pre-algebra
8th grade
I will give everything that I can give you I just need to understand this
GIVING BRAINLIEST, THANKS AND FIVE STARS!!
Express each number as a product of its prime numbers.
1. 245
2. 510
3. 250
4. 1,089
5. 4,725
6. 900
18. 27,000
Answer:
Numbers expressed as a product of prime factors are as follows:-1. 245 = 5 × 7 × 7
2. 510 = 2 × 3 × 5 × 17
3. 250 = 2 × 5 × 5 × 5
4. 1089 = 3 × 3 × 11 × 11
5. 4725 = 3 × 3 × 3 × 5 × 5 × 7
6. 900 = 2 × 2 × 3 × 3 × 5 × 5
18. 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5
Identify the graph of the following equation.
x ≥ 1
Answer:
It's the 5th answer / E
Step-by-step explanation:
9*10^7 is how many times as large as 3*10^-2
Answer:
A
Step-by-step explanation:
9 is 3 times larger than 3
10^7 is 10^5 times larger than 10^-2.
(just subtract the exponent)
I hope this helps!
pls ❤ and mark brainliest pls!
Lenny bought a motorcycle for 30% off the original price. If the original price was $11,500 how much did he pay for the motorcycle on sale?
Simplify the following expressions:
1. 12a + 14b + 7a^2 -13b + 3 =
2. (p^4 y^7)^3 =
3. r^8 (ra)^-3 (write without negative exponent) =
4. x^8• (2x)^3 =
Answer:
Anssss::12a+ b+ 7a^ { 2 } +3
Which is a TRUE statement about the transformation shown?
A
The graph shows a dilation, and the pre-image and image are similar.
B
The graph shows a translation, and the pre-image and image are congruent.
C
The graph shows a reflection, and the pre-image and image are congruent.
D
The graph shows a translation, and the pre-image and image are similar.
Answer:
I think C is the correct answer
What is the equation of the line?
Answer:
y = 1/2 - 3/2
Step-by-step explanation:
All we need to do is find the y-intercept of the line using the formula for slope intercept form [ y = mx + b ].
-3 = 1/2(-3) + b
-3 = -1.5 + b
-1.5 = b
We can put all the information we know/solved for into the formula.
y = 1/2 - 1.5
Best of Luck!
Answer:
The equation of the line is y = 1/2x - 3/2
Step-by-step explanation:
Plug in point (-3, 3) with slope 1/2 into y = mx + b
-3 = 1/2(-3) + b
-3 = -3/2 + b
+3/2 +3/2
-------------------
-3/2 = b
hence, y = 1/2x - 3/2
Point Q is the image of (-7, 2) under a translation of 8 units to the right and 2 units up.
QUESTION: where is point q?
Please help me! Thank you
the answer option has been attached
Step-by-step explanation:
A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a lap around a racetrack. Why are velocity and speed the same for a 100 m sprint but not a 400 m sprint
Answer
Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.
Step-by-step explanation:
<3
the sum of three consecutive odd integers. what are the three integers
Answer:
I dont know
Step-by-step explanation:
Answer:
Complete step-by-step answer:
Sum of 3 consecutive odd numbers is equal to 51.
Let the odd number be ‘x’. Then the next consecutive odd number becomes ‘x + 2’ and the next term becomes x + 2 + 2 = ‘x + 4’.
Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.
According to the given, 3x + 6 = 51.
⟹3x = 51 – 6
⟹x =453=15.
Hence, the numbers are 15, 17 and 19.
Note: In order to solve this type of questions the key is to consider a variable to be odd and compute the sum of three consecutive odd numbers in terms of this variable. Then by solving for this variable we can determine the numbers. Any odd number added with 2 gives an odd number itself.
Step-by-step explanation:
Determine the surface area of the cylinder below.
351.9 m2
301.6 m2
251.3 m2
452.4 m2
Find the number that makes the ratio equivalent to 11:77.
:7
Answer:
1
Step-by-step explanation:
divide both side by 11 and you get 1:7
if there is 1/2 of a pizza and jonas only wants 1/3 of the pizza, how much will he get?
A. 1/5
B. 2/5
C. 1/6
D, 2/6
Answer:
Option C is the right answer.
Step-by-step explanation:
1/2 × 1/3 = 1/6
Answer:
C. 1/6
Step-by-step explanation:
it is not a whole pizza, it is half, so 1/3 of a half pizza is equal to 1/6 a whole pizza.