Answer:
$4
Step-by-step explanation:
We need to set up an algebraic expression to solve this problem:
Let n= cost of a notepad
Let p= cost of a pen
First set up an expression for Cynthia's purchase:
cost of notepads*number of notepads + cost of pens*number of pens = total cost
n*2 + p*3 = 40.30
Rewrite as:
2n + 3p = 40.30
Next, set up an expression for Annie's purchase:
Here we will be using the same variables
n*3 + p*5 = 61
Rewrite as:
3n + 5p =61
Now, set up a system of equations:
2n + 3p = 40.30
3n + 5p =61
A system of equations can be solved in several ways, here I will use the addition/elimination method
For this method one of the variables must be able to be eliminated
Step 1: Pick a variable to eliminate
Here I will eliminate n
Step 2: make the selected variables in the equations equal and opposite so that they cancel out when the equations are added together
(2n + 3p = 40.30)(-3)
(3n + 5p =61)(2)
-6n - 9p = -120.90
6n + 10p = 122
Step 3: add vertically
-6n - 9p = -120.90
6n + 10p = 122
p = 1.10
Step 4: Figure out the other variable by inputting the answer you just got back into the original equation
2n + 3(1.10) = 40.30
2n + 3.30 = 40.30
-3.30 37
2n = 37
/2 /2
n = 18.5
One notebook = $18.50
One pen= $1.10
18.50+1.10= $19.60
2nd step
We must first set up an algebraic expression
total=15 pencils
total=9 pens
The total amount is the price of one pencil*15
To figure out one pencil:
10 pencils are $24
1 pencil is $2.40
Total= $36
9 pens = 36
Therefore 1 pen is $4
Help me please I’ll give extra points
How can i calculate the high of a triangle of 14cm each side??
Can someone please help me with math.
Answer:
21.c
22.b
23.c
Step-by-step explanation:
The function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit in a room. (a) Write a new function in terms of f (0) for the temperature if the object is taken out of the refrigerator 2 minutes later. Note that·H =" is already provided. Do not include this in your submitted response to this question. b) Write a new function in terms of f(0) for the temperature if both the refrigerator and the room are 15 F colder. Note that·H-e is already provided. Do not include this in your submitted response to this question.
(a) The value of the function after 2 minutes later will be [tex]H=(T)^{t+2}[/tex].
(b) The value of the function at 15 F will be [tex]H=(15)^t[/tex].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the function H =f(t) gives the temperature, HF, of an object t minutes after it is taken out of the refrigerator and left to sit in a room.
(a) The value of the function after 2 minutes will be,
[tex]H=T^t\\H=(T)^{t+2}[/tex]
(b) The value of the function at 15 F will be,
[tex]H=(15)^{t}[/tex]
Therefore, the value of the function after 2 minutes later will be [tex]H=(T)^{t+2}[/tex]. The value of the function at 15 F will be [tex]H=(15)^t[/tex].
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Rachel's car has a 12 gallon gas tank and
she uses about 0.5 gallons per day driving to
school. Write an equation describing the
number of gallons of gas, g, Rachel has in
her car and the number of days, d, she has
driven to school.
please help meeee
Answer:
g=dx
Or, if you'r wanting the solved equation..
12 = 0.5 x 24
Step-by-step explanation:
If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."
Hope this helped!
Identify the outliers in the scatter plot given below.
Answer:
A) (1, 6) and B) (9,2) im pretty sure
Step-by-step explanation:
giving 25 points + brainliest if its correct
pic is attached
no links or fake answers pls
Answer:
Step-by-step explanation:
1 : 2 = 3 : 6
6 parts vinegar
Social Studies is 90
Language Arts is 94
Social Studies : Language Arts
4.5 × 50 = 225 miles
what is the equation of the line that passes through the point (-6,3) and has a slope of -1/6
Answer:
y = -1/6x + 2
Step-by-step explanation:
y = -1/6x + b
3 = -1/6(-6) + b
3 = 1 + b
2 = b
Tamir bought 2 1/2 pounds of fish at $5.50 per pound, and two bananas at the price shown.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2.5 x 5.5 = 13.75
Explanation:
I hope this helped!
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3. (5 points) A company wishes to estimate the mean monthly electric bill. If the standard
deviation is $400, how large a sample is required to estimate the mean electric bill to within $100
with 98% confidence?
Answer:
9.304
Step-by-step explanation:
company wishes to estimate the mean monthly electric bill. If the standard
deviation is $400, how large a sample is required to estimate the mean electric bill to within $100
with 98% confidence?
Sample size, n = (Zcritical * σ) ÷ ME
σ = standard deviation ;
ME ≥ margin of error
α = 98% ; At 98% confidence level ;Zcritical = 2.326
n ≥ (2.326 * 400) / 100
n ≥ 930.4 / 100
n ≥ 9.304
n = 10
What is the distance, X between Jon's house and Maria's house?
Answer:
20ft
Step-by-step explanation:
According to the diagram which similarity statements are true? Select all that apply.
Answer:
A, B and C are all the same as they are all right angles :)
Please mark as brainliest :0
Step-by-step explanation:
PLSSS HELP MEEEE OH NOOOOOOO
If a van traveled 175 miles in 5 hours, how far could the van travel in 8 hours?
Determine is the point (9,5) is the solution to the system of inequalities below.
Answer:
9>5
Step-by-step explanation:
9 comes further in counting than 5
=9=nine=greater than five=5=five
3. Julissa's rose garden is in the shape of a trapezoid with a height of 35 feet. The bases of
the garden measure 50 feet and 32 feet. What is the area of Julissa's rose garden? *
C. 1,435 square feet
A. 58.5 square feet
B: 1,360 square feet
D. 2,870 square feet
Answer:
Step-by-step explanation:
i dont nkoe
Describe the transformation g(x)=f(x+1)
Answer:
Shifted 1 unit left
Step-by-step explanation:
A sapling that started out 13.63 inches tall grew 2.41 inches per year. How tall was the sapling when it was 14 years old?
Answer:
47.37 Inches
Step-by-step explanation:
We start by assuming that we're at zero years when the tree is at 13.63 inches. We then ignore that height, and look at the rate of growth, which is 2.41 in / year.
The question asks how tall the tree is when it's 14 years old, so we multiply 2.41 inches / year by 14 years to get 33.74 inches.
The final step is to add that 33.74 onto the original 13.63 to get a new total of 47.37 inches when the sapling is 14 years old.
what graph is y=1/2x+3 y=3/2x-1
The following data points represent the number of chicken nuggets on each family member's plate.
1,3,0, 6, ?
If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets.
nuggets
Answer:
The missing number of chicken nuggets is 5.
Step-by-step explanation:
To find the mean of this data set, we must add every number together, then divide the sum by how many numbers are present.
Like this,
1 + 3 + 0 + 6 = 10
10 / 4 = 2.5
There are 4 present numbers in this data set, and one is missing.
Since the only number divided by 5 that would give you a quotient of 3 is 15, the missing number is 5.
Because,
1 + 3 + 0 + 6 + 5 = 15
15 / 5 = 3
Therefore, 5 is the missing number of the data set.
Riley washes the dishes on
Monday and Thursday each week.
It takes her 15 minutes to wash the
dishes each day. How many
minutes does Riley spend washing
dishes every 3 weeks?
2.
Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]
applying the law of sines to find the unknown sides:
[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]
[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]
so,
[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]
Need the answer real quick
Answer:
1. x+y=20,000
2. 105x+75y=$1,740,000
Step-by-step explanation:
let x be the stage level seats and y be the higher level seats.
When using substitution method to solve the following system of equations, what is the result of the first step ? x +2y=5 y=6x+3
Answer:
x=3
Step-by-step explanation:
Sub y=x-1 into 2x+y=8.
You will get 2x+x-1=8.
Simplify 3x-1=8
Solve 3x=9
x=3
Kathy wants to buy a sweater with a price tag of $25 the store is having a 40% off sale on all clothing which expression represents the sale price of the sweater
Answer:
.60 x $25 = X
Step-by-step explanation:
there aren't any multiple choice for the expressions but this expression would give you the answer
60% or .60 times the original price of the item will give you the new price of the item
$15 is the new price of the item
Solve for x
1/6 (2x - 12x) = 30
A) -12 B) -15 C) -18 D) -24
D (-18)
___________________________________________________________
The image always helps me, please don't be afraid to point out any mistakes, I hope I helped have a great day!
IM GIVING BRAINLIEST!!!PLEASE HELP!!!
The answer is C aka answer 3
A new club of 20 members will elect a
president and a vice president to attend the
pep rally. How many combinations of
president and vice president are possible?
Answer:
Step-by-step explanation:
The diameter of a circle is 20 in. Find its area in terms of pi
Answer:
Is that your answer ☺️☺️☺️
The area of the circle formula is useful for measuring the space occupied by a circular field or a plot. A circle is a closed plane geometric shape. The area of the circle with diameter 20 in is 100 π inches².
What is area of a circle?The area of the circle is defined as the region occupied by the circle in a two dimensional plane. The diameter of the circle is the line which divides the circle into two equal parts and radius is half of the diameter.
The unit of area of a circle is m², cm², etc. The equation used to calculate the area of the circle is:
Area of a circle = π × r²
Here radius = 10 inches
Then the area of circle is given as:
Area = π × 10 × 10 = 100 π inches²
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Find all solutions of the equation in the interval [0,2pi).
3csc^2x-4=0