Answer:
12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.
Step-by-step explanation:
So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2
where p = regular price of enrollment
So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.
So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)
The amount they all paid is $750.
To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750
The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750
Explanation:
In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.
In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.
Which of the following situations have a sum of zero? Select all that apply.
1. Shawna spends $20 on materials to make bracelets for her friends. She then earns $20 from selling the bracelets.
2. A diver dove down 20 1/4 feet under water and then descended 20 1/4 feet.
3. A golfer shot 2 over par (+2) on a hole. They then then shot 2 under par (−2) on the next hole.
4. You have $5.50 in your pocket and then you receive $5.50 for doing your chores.
Convert y = x2 - 4x + 1 to vertex form by completing the square.
O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1
Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
Which equation represents a line that passes through (5, 1) and has a slope of 1/2?
y-5= 1/2(x-1)
y-1/2=5(x-1)
y-1=1/2(x-5)
y-1=5[x-1/2]
Step-by-step explanation:
Hey there!
The given point is (5,1) and slope is 1/2.
Let's use one point formula for finding the eqaution.
[tex](y - y1) = m(x - x1)[/tex]
Keep all values.
[tex](y - 1) = \frac{1}{2} (x - 5)[/tex]
This matches with Option C,
So, your answer is Option C.
Hope it helps...
what is 1\4 x 2\5 in simplest form
Answer:
1/10
Step-by-step explanation:
1/4 x 2/5
Multiply the numerators together
2
Multiply the denominators together
20
So it is 2/20
Simplify.
1/10
Hope I helped :)
Please consider Brainliest :)
Answer:
x/10
Step-by-step explanation:
To encourage recycling many states require a $.70 deposit or drink containers the total deposit di you pay depends on the number of containers N You by the function D =0.07N could be used to describe the situation if you deposit $1.40 how many containers do you buy?
Answer:
20 containers
Step-by-step explanation:
Given:
D = 0.07N
Where,
D = Amount of deposits
N = Number of containers
If D = $1.40 find N
D = 0.07N
1.40 = 0.07N
Divide both sides by 0.07
N = 1.40 / 0.07
= 20
N = 20 containers
if you deposit $1.40, you will buy a total of 20 containers.
Calculate the reciprocal of -0.013, correct to 1 decimal
Answer:
Step-by-step explanation:
-0.013 = [tex]\frac{-13}{1000}[/tex]
Reciprocal = [tex]\frac{-1000}{13} =-76.9[/tex]
Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47
Answer: 47/100
Step-by-step explanation: 47/100 = 0.47.
Substitute the given value for x into each equation to determine the value of y.
1. y = 3x + 6; x = -4
2.3.2 - 8y = 12; x = 4
3. y = -43; x = -2
Answer:
Y=-6
Y= -1.1
Y=-43
Step-by-step explanation:
Students was 1: 8. However, this year the ratio of the number of middle school students to the number of high school students changed to 2: 7. If there are 18 middle school students in the band this year, how many fewer high school students are in the band this year compared to last year? Expla
Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
A family leaves at 6:35 AM on a 225 mile trip. If the average speed is 76 miles per hour, what time will they reach their destination?
Answer: 9:32
Step-by-step explanation:
225/76 is 2.96, then you do 60x0.96 to find how many minutes that is which is 57 plus the 2 hours is 2 hours 57 minutes and when you add 2 hours 57 minutes to 6:35 you get 9:32
Please help!!!!
Carol's class has ninestudents on roll. newstudents join her class and the number of
students increases to 16. Which equation
represents Carol's class roster.
o 16 + X = -9
oX - 16 = 9
o 16X = 9
09 + X = 16
Answer:
9 + X = 16
Step-by-step explanation:
Given parameters:
Number of students on the roll = 9
Unknown:
The equation representing the class roster = ?
Solution:
Let the number of additional students that joined the class = x
Carol's class roster:
New number of students = number of students + additional students
16 = 9 + x
The solution of the problem is 9 + x = 16
A and \angle B∠B are supplementary angles. If m\angle A=(5x-19)^{\circ}∠A=(5x−19)
∘
and m\angle B=(2x+10)^{\circ}∠B=(2x+10)
∘
, then find the measure of \angle B∠B.
Answer: 52
Step-by-step explanation:
4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.
Subtract 4x from both sides and get:
8=1x -3
Add 3 to both sides:
11= 1x
if x =11, plug that in to angle A.
4x+ 8 becomes 4(11)+8 =
44+ 8=
52
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answer:
$60
Step-by-step explanation:
180/3 = 60
I hope this helps :)
Answer:60 per hour
Step-by-step explanation: you divide 180 by 3
8.
Which of the following is a negative
rational number that is not an integer?
А -pi
B -4.5
C -2
D 5 squared
Hummingbirds beat their wings very fast. The smaller the
hummingbird is, the faster its wings beat. The average hummingbird beats its
wings about 3 x 10 3 times a minute. How many times a minute is that, written as
a whole number?
Pls help me! I will give brainliest
Answer:
A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.
Answer: A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.
Step-by-step explanation:
The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, about how many ounces are there in 10 pounds?
Group of answer choices
144 ounces
160 ounces
176 ounces
192 ounces
Answer:
B- 160
Step-by-Step Explanation:
I did it before and I was rite, so trust me
Answer:
B 160
Step-by-step explanation:
What is the domain of the function below?
Answer:
[-4, 4]
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
From the graph we see that our x-values span from -4 to 4. Since both are closed dots, they are included in the domain (use brackets):
[-4, 4] or -4 ≤ x ≤ 4
Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have initially
Answer:
2744
Step-by-step explanation:
Let Al had x pennies initially.
Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.
So, as per the given condition,
The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]
The number of Pennies received by Carl from Bev
[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]
The number of Pennies received by Dani from Carl
[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]
Now, as Dani received 216 Pennies, so
[tex]\frac{27}{343} x =216[/tex]
[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]
Hence, initially, Al had 2744 Pennies.
2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer
The amount of interest is 208.74$
Here we have given
Amount (P)=850$
Interest (r)=12.25%
Time (t)=2 years
we have to calculate the simple interest
What is the formula for simple interest?
[tex]I=\frac{PRT}{100}[/tex]
Plug the given value in above formula
[tex]I=\frac{850*12.25*2}{100}[/tex]
Simplify above equation we get
[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]
Therefore the amount of interest is 208.74$
To learn more about the interest visit:
https://brainly.com/question/25793394
Kerri has to be at school by 8:11. It takes her 5 minutes to brush her teeth, 9 minutes to shower, 15 minutes to dry her hair, 14 minutes to eat breakfast and 18 minutes to walk to school. What time will she need to get up?
Answer:
7:10
Step-by-step explanation:
18+14+15+9+5 = 61 minutes
Answer:
7:10
Step-by-step explanation:
5+9=14
14+15=29
29+14=43
43+18=61
60 minutes in an hour with one minute left behind.
8-1=7
11-1= 10
7:10
What is an equation of the line that passes through the points (6,-4) and (1,6)?
Put your answer in fully reduced form.
Answer:
y
=
m
x
+
b
to find the equation.
y
=
−
2
x
+
8
Step-by-step explanation:
Answer for brainliest.
Answer:
t > 28
Step-by-step explanation:
Given
[tex]\frac{t}{4}[/tex] > 7 ( multiply both sides by 4 to clear the fraction )
t > 28
Answer:
[tex]t>28[/tex]
Step-by-step explanation:
[tex]\frac{t}{4} >7\\[/tex]
Times both sides by 4
[tex]t>28[/tex]
Hope this helps and pls do mark me brainliest:)
plz help i dont know the answer
Answer:
Im not 100 percent sure but I think you have to do this
Step-by-step explanation:
Add all numbers together to find total students
Then add the students in Chemistry and Physics and both together
Then find what that number is in percent to the total students
PLEASE HELP WILL MARK BRAINLIEST FOR RIGHT ANSWER!!
Answer:
Population 2 pattern is that every year the population goes down by 2
Step-by-stepation:
Encuentra la ecuación del siguiente enunciado. En una caja de cartón se empacan latas de atún. Al acomodarlas, resulta que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho. ¿Cuántas latas caben en total en la caja?
1 punto
x+5 = x+3
(x) (x+5) (x+3)
x3 + 8x2 + 15x
x (x+5) = x + 3
Answer:
x + (x + 3) + (x + 5)
Step-by-step explanation:
Sea x el número de latas que caben en el ancho.
Como hay 5 latas más que encajarán en la longitud, el número total de latas que encajarán en la longitud será (x + 5) latas
También caben tres latas más en la altura, la cantidad de latas que será (x + 3)
Así que ahora, el número total de latas que cabrán en la caja será;
x + (x + 3) + (x + 5)
What is the value for y
When x=20
Y=-2x+8
Answer:
y = -32
Step-by-step explanation:
Y=-2x+8
Let x= 20
y = -2 * 20 +8
y = -40+8
= -32
If the 16 boys in the classroom are 40% of the class how many students are there in the class
Answer:
56
Step-by-step explanation:
40+16=56
Answer:
40
Step-by-step explanation:
Set up the equation.
Let the full number of people in the classroom = x
(40%) x = 16 Change 40% to a fraction
(40/100) x = 16 Reduce 40/100 to a decimal
0.4 x = 16 Divide by 0.4
0.4/0.4 x = 16/0.4
x = 40
3/4 change 3/4 to a decimal show work
Answer:
0.75
Step-by-step explanation:
You just need to convert 3/4 into a decimal.
For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.
3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,
3/4 = 0.75
This recipe makes 15 cupcakes.
Deepak only wants to make 12 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 15 cupcakes
12 ounces butter
10 ounces sugar
15 ounces flour
5 eggs
I WILL GIVE BRAINLIEST TO THE BEST ANSWER IF ITS RIGHT
Exercise 1. A truck has the capacity to transport up to 8 tons of a material at a time. If 104 tons of the material should be transported, how many trucks like this will be needed?
Answer:
how many trucks ?
Step-by-step explanation:
It is solved using the rule of three simple ones, where the number of trucks is for the quantity of material transported. We have that 1 is for 8 as X is for 104 (Look attached).
Multiplying cross, we have to:
8X = 104
X = 104/8
X= 13