Answer:
a) $0.83
b) k = 1.205
c) In the context of this problem, k means
The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price
Step-by-step explanation:
Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.
a. What is the unit price?
The unit price means the cost of 1 cookie
Hence:
3 chocolate chip cookies = $2.49
1 chocolate chip cookies = x
3x = $2.49 × 1
x = $2.49 × 1/3
x = $0.83
Hence, the unit price = $0.83
b. What is the constant of proportionality, or k?
Chocolate chip cookie ∝ Price
Chocolate chip cookie is directly proportional to the Price
C = kP
Where k is constant of proportionality
k = Chocolate chip cookie/Price
k = C/P
Hence,
k = 3/2.49
k = 1.2048192771
k = 1.205
c. In a complete sentence, explain what k means in the context of this problem.
In the context of this problem, k means
The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price
Graph y = -2x - 1. Plot the y-intercept on the graph.
Answer:
so u put the first point at -1 go down 2 to the right 1
The graph of equation y = - 2x - 1 and the y-intercept (0, - 1) is shown in image.
We have to given that,
To plot the equation y = - 2x - 1 and the y-intercept on the graph.
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, Equation is,
y = - 2x - 1
After comparing,
y - intercept = - 1
So, y - intercept of equation (0, - 1)
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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I need help with this problem
Answer:
X=13
Step-by-step explanation:
So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.
Hey Siri Timothy nvested 12,000 in an account that pays 4% annual simplest interest .timothy will not make any additional deposits or withdrawals . How much interest will Timothy earn on his investment at the end of 4 years
Answer: Timothy will have $1,920 at the end of 4 years.
Step-by-step explanation: Remember, I=prt. So multiply 12,000x0.04x4. The final answer is $1,920.
Answer:
$1920
Step-by-step explanation:
He starts with 12,000 dollars. If he makes 4 percent of that, he is making 480 dollars every year. So you know how much he is making every year, you need to know what he is making in 4 years. 480 * 4 = 1920
Expand the following:
a)2(x + 3)
Answer:
2x+6Step-by-step explanation:
2(x+3)
=(2)(x+3)
=(2)(x)+(2)(3)
=2x+6
2. The water level of a river was measured each day during a two-week period. The
graph models the linear relationship between the water level of the river in feet
and the number of days the water level was measured.
Water Level of River
The initi
28
Ο Ο Ο
The max
24
20
The wate
16
Water Level (ft)
12
o
The water
CLEAR ALL
4
0
2
4
12
6 8 10
Number of Days
Which statement best describes the y-intercept of the graph?
< PREVIOUS
O 3
Os Oo Or
0.8
HH
Type here to search
O
Step-by-step explanation:
day during a two-week period. The
graph models the linear relationship between the water level of the river in feet
and the number of days the water level was measured.
Water Level of River
The initi
28
Ο Ο Ο
The max
24
20
The wate
16
Water Level (ft)
12
o
The water
CLEAR ALL
4
0
2
4
12
6 8 10
Number of Days
Which statement best describes the y-intercept of the graph?
< PREVIOUS
O 3
Os Oo Or
0.8
HH
Answer:
It is C. The initial water level is 16 ft
Step-by-step explanation:
The Y-intercept goes across 16 lol
Which expression is modeled by this arrangement of tiles?
16 negative tiles are split into 2 groups of 8 negative tiles.
Answer:
16 negative tiles are split into 2 groups of 8 negative tiles.
Negative 16 divided by 3
Negative 16 divided by 2
Negative 8 divided by 8
Negative 8 divided by 2
Step-by-step explanation:
Simplify the rational expression. (Your final answer should have one term.)
[tex]\frac{3}{4} - \frac{2}{9} + \frac{3}{2}[/tex]
Answer:
[tex]\frac{73}{36}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] - [tex]\frac{2}{9}[/tex] + [tex]\frac{3}{2}[/tex]
1. Convert all the fractions to a common denominator.
For this problem, the common denominator will be 36
[tex]\frac{3}{4}[/tex] * 9 = [tex]\frac{27}{36}[/tex]
[tex]\frac{2}{9}[/tex] * 4 = [tex]\frac{8}{36}[/tex]
[tex]\frac{3}{2}[/tex] * 18 = [tex]\frac{54}{36}[/tex]
2. Substitute the values back into the equation, and solve
[tex]\frac{3}{4}[/tex] - [tex]\frac{2}{9}[/tex] + [tex]\frac{3}{2}[/tex]
= [tex]\frac{27}{36}[/tex] - [tex]\frac{8}{36}[/tex] + [tex]\frac{54}{36}[/tex]
= [tex]\frac{19}{36}[/tex] + [tex]\frac{54}{36}[/tex]
= [tex]\frac{73}{36}[/tex]
Answer:
2 1/36Step-by-step explanation:
3/4 - 2/9 + 3/2 =3/4*9/9 - 2/9*4/4 + 3/2*18/18 = ⇒ Common denominator LCM(4,9,2)=3627/36 - 8/36 + 54/36 = (27 - 8 + 54)/36 =73/36 =2 1/36Another word for finding the opposite of an integer is BLANK An integer
Answer:
The answer is at the bottom!!
Step-by-step explanation:
Another word for finding the opposite of an integer is negative number of an integer.
Decrease, spend, and decline are examples of words that mean negative. An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa.
Hope this helps!!
Please help ! I’ll give brainliest!
HELP PLEASE ILL GIVE BRAINLIEST
Answer:
B. The answer is B
Step-by-step explanation:
Jack wants to buy a coat that costs $74.95. The sales tax rate in his city is 6,4%. What is the total cost for the coat? Round to the nearest cent
Answer:
$79.7468
Step-by-step explanation:
6.4% of 74.95 is 4.7968, since 6.4 * 74.95 is 479.68, and if you divide that by 100, you will get 4.7968. 4.7968 + 74.95 = $79.7468
Here we want to find the total cost of a coat given that we know its cost and the sales tax.
By working with percentages, we will find that the total cost will be $79.75
Applying the tax:
So the cost of the coat is $74.95, and then we must pay an extra 6.4%
Then we must pay a total of the 100% + 6.4% = 106.4%
And the 100% is equivalent to $74.95
Then the 106.4% is equivalent to:
(106.4%/100%)$74.95 = $79.75
So the total cost of the coat is $79.75
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
The square of a number is equal to nine.
Answer:
[tex]\pm 3[/tex]
Step-by-step explanation:
Take the square root.
Answer:
81
9 x 9 = 81
Therefore the square of a number equal to 9 is 81
May I have brainliest please? :)
The length a rectangular pan is represented by 5a2 and the area of the rectangular pan is represented by 5a4 + 10a3 - 15a2, find the polynomial expression that represents the width of the pan. Write your answer in descending order. Please use the palette below to enter your answer
Answer:
[tex]Width = a^2 + 2a - 3[/tex]
Step-by-step explanation:
Given
[tex]Area = 5a^4 + 10a^3 - 15a^2[/tex]
[tex]Length = 5a^2[/tex]
Required
Determine the Width
The area of a rectangle is calculated using:
[tex]Area= Length * Width[/tex]
Make Width the subject
[tex]Width = \frac{Area}{Length}[/tex]
Substitute values for Area and Length
[tex]Width = \frac{5a^4 + 10a^3 - 15a^2}{5a^2}[/tex]
Factorize the numerator
[tex]Width = \frac{5a^2(a^2 + 2a - 3)}{5a^2}[/tex]
[tex]Width = a^2 + 2a - 3[/tex]
Hence, the polynomial for the width of the rectangle is:
[tex]Width = a^2 + 2a - 3[/tex]
PLZ HELP DUE SOON
Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favorite drink. Write an equation to represent the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.
Answer:
50 = x · 3.75
Step-by-step explanation:
Plz help me quickly I’ll give brain list !!!!!!!plz
Answer:
8 3/4 is your answer
Step-by-step explanation:
If you want to multiply in a simplier form convert into decimals
2.5*3.5= 8.75 = improper fraction form its 8*4+3=35/4= 8 3/4
pls give brainliest i need two more and i level up and hope this helps
Answer:
The answer is 8.75
Step-by-step explanation:
First make 2 1/2 and 3 1/2 to improper fraction.
5/2 * 7/2= 35/4
After you multiplied you make you answer into a mixed number fraction by
dividing the numerator and denominator. 35/4=8.75
Answer:8.75
Hope this helps!!
Which first step for solving the given system using substitution results in an equation without fractions? Solve for x in the first equation. Solve for y in the first equation. Solve for x in the second equation. Solve for y in the second equation.
Answer:
solve for x in the second equation is correct
Step-by-step explanation:
Here is the complete question
Which first step for solving the given system using substitution results in an equation without fractions?
(2x+6y=7
(6x + 18y = 24.... 2
Solve for x in the first equation,
Solve for y in the first equation,
Solve for x in the second equation
The best equation to she will be equation 2 since all the coefficients are end numbers
Let us make x t subject f the formula from equation 2;
From 2: 6x+18y = 24
Subtract 18y from both sides
6x+18y-18y = 24-18y
6x = 24-18y
Divide through by 6
6x/6 = 24/6 - 18y/6
x = 4-3y.
You can see that the resulting expression of x is not a fraction. Hence solve for x in the second equation is correct
Answer:
b
Step-by-step explanation:
edit:
the one after that is b
A= 1
B= 2
C= below
42+__________=68 vhrvwfruybtglh
Answer:
42 + 26 = 68
Step-by-step explanation:
I hope this helped :)
Plz help me answer this!!!!
Answer:
Dude, it could literally be any number. It doesn't even provide us with a starting number to actually solve the problem with XD
Step-by-step explanation:
PROBLEM. Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by increasing the length and width by the same amount. 1. Write an EQUATION that represents the total area of Riley's proposed patio. AND 2. To the NEAREST TENTH of a foot, what is the LENGTH and WIDTH of the new patio?
Answer:
18.8 ft
20.8 ft
Step-by-step explanation:
Given that :
Dimension of rectangular patio:
13 feets * 15 feets
To double the area of The patio :
2 * initial. Area
Initial Area = area of rectangle = Length * width
Initial area = 13 * 15 = 195ft²
New area of patio = 2 * 195 ft² = 390 ft²
To obtain the new area, the length and width of patio increased in equal amount:
Let the Increment = x
Hence,
(length + x) * (width + x) = 390
(13 + x) * (15 + x) = 390
195 + 13x + 15x + x² = 390
195 + 13x + 15x + x² - 390 = 0
x² + 28x - 195 = 0
Using the quadratic equation solver to save computation time :
The roots are :
X = - 33.773 or 5.773
Dimension can't be negative, hence,
x = 5.773
New dimension :
(length + x) = 13 + 5.773 = 18.8 ft
(width + x) = 15 + 5.773 = 20.8 ft
Please help me answer this!!!
Answer:
NO NO NO NO NO
Step-by-step explanation:
A new arcade opened up in town. A play package is available to purchase. It includes 15 tokens for games,plus 5 dollars off. Let x represent the cost per token
Answer:
The total cost of the games (play package)
= 15x - 5
Step-by-step explanation:
Number of tokens in the games = 15
The cost per token = x
Discount off the total cost = $5
Therefore, the cost of the play package = 15x - 5
where x is in dollars
However, ‘x’ can also assume any value.
Check:
If x = $15
The total cost of the game can be said to be 15(10) - 5 = $220
Write a multiplication equation that represents the question: how many 38s are in 54? DO NOT tell me the answer just show me how you worked it out using MULTIPLICATION. Thanks.
Answer:
[tex]38 x = 54[/tex]
Step-by-step explanation:
Required
Determine the number of 38 in 54
We start by representing the number of 38 in 54 with x
To determine the number of 38 in 54, we have to represented it as thus:
[tex]38 * x = 54[/tex]
Simplify the expression as follows:
[tex]38 x = 54[/tex]
The expression can be left like that or simplified further by dividing through by 2:
[tex]19x = 27[/tex]
Hence, the solution to the question is:
[tex]19x = 27[/tex] or [tex]38 x = 54[/tex]
8(12+a) I'm Having trouble with this
Answer:
8a+96
Step-by-step explanation:
8(12+a)
= 96+8a
Answer:
8a+96 or a+12
Step-by-step explanation:
Distribute
The period of a pendulum is the time the pendulum takes to swing back and forth. The function relates the length L= 0.81t in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 90 feet long. Find the period.
Answer: 111.11 seconds
Step-by-step explanation:
Given: The period of a pendulum is the time the pendulum takes to swing back and forth
The function relates the length [tex]L= 0.81t[/tex] in feet of a pendulum to the time t in seconds that it takes to swing back and forth.
If L= 90 feet then put this in the above function, we get
[tex]90=0.81t\\\\\Rightarrow\ t=\dfrac{90}{0.81}\\\\\Rightarrow\ t=111.1111111\approx111.11\text{ seconds}[/tex]
Hence, the period = 111.11 seconds
The values in the
the range is called the
Answer:
values in range
Step-by-step explanation:
2.Which expression is equivalent to (2x6 + x3) - (x5 + 4x3)?
A. 2x6 + 7x3
B. 2x6 - X5 - 3x3
C. 3x6 - X5 - 3x3
D. 3x6 - X5 + 7x3
Answer:
Step-by-step explanation:
2x6 + x3 - x5 - 4x3
Solving like terms
2x6 - x5 - 3x3
Option B is the correct answer
Stuart Rosenblatt earned a gross salary of $800 in one week. He received a paycheck that showed that taxes and other deductions of $206.75 were subtracted from his gross salary.
What was the net amount of Stuart’s paycheck
Please help me with this
Step-by-step explanation:
The question implies the two angles are equal because of the positioning of the named vertices. m∠A = m∠E so to say.
You can substitute the values and solve the inequality to find x, then solve for m∠A.
m∠A = m∠E; Given (Inferred)
6x - 8 = 4x + 1; Substitution
6x = 4x + 9; Addition Property of Equality
2x = 9; Subtraction Property of Equality
x = 4.5; Division Property of Equality
m∠A = 6x - 8; Given
m∠A = 6(4.5) - 8; Substitution
m∠A = 19; Solve
Hope this helps!!
Simplify 2 + 3[4 + (7 – 3) – 23]
*0
*2
*10
*8
does anyone know the answer
Answer:
x = 22
Step-by-step explanation:
90 = (5x - 20)
+20 +20
110 = 5x
/5 /5
22 = x
Hope this helps!