Jacqueline is buying grapes and apples from the Walmart produce section. Grapes are $3
per pound and apples are $4 per pound. Jacqueline’s mother gave her $20 to spend. To
determine the combinations of grapes and apples that she can afford to purchase,
Jacqueline wrote the inequality 3 + 4 ≤ 20.
1. Define the variables Jacqueline used based on the context.
Let represent _______________________________________________.
Let represent _______________________________________________.
2. Explain why the inequality sign ≤ makes sense in this context.
3. Graph the inequality 3 + 4 ≤20.
4.The ordered pair (3, −4) is a solution to the inequality 3 + 4 ≤ 20.
Explain why
this is not a viable solution in the context of buying grapes and apples.
5. The ordered pair (4, 2) is a point on the boundary line. Explain what the ordered
pair represents in the situation.
Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
What is inequality, exactly?An unbalanced connection between two expressions or values is referred to in mathematics as an inequality. So, inequity results from imbalance. In mathematics, an inequality defines the connection between two non-equal quantities. Egality and inequality do not mean the same thing. Use the not equal sign whenever two values are not equal (). It is possible to compare values of any size using a variety of inequalities. By changing both sides until only the variables are left, it is possible to solve many straightforward inequality problems.
Here,
Given : 3x + 4y ≤ 20.
where x is the no of apples
and y is the no of grapes
Thus,
Part a:
where x is the no of apples
and y is the no of grapes
Part b:
Inequality signs means that 20 will be the maximum amount of the no of apples and no of grapes summation.
Part c: ordered pair (3, −4)
Thus,
putting in the inequality we find:
=> 3(-3)+ 4(-4)
=> -6 -16
=> -22
Thus , it is not a solution for inequality.
Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
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please help me again thank you
Answer:
The answer is 28.26 hope that helps
Pls help this is math work
Answer:
∠ R = 35° , ∠ T = 45°
Step-by-step explanation:
since the triangles are similar then corresponding angles are congruent, so
∠ R = ∠ U = 35°
∠ T = ∠ Q = 45°
17) Marlo has $250 on her iTunes card. She pays $5
for every game that she downloads. Write an
inequality that you could use to determine how many
games she could download if she wants to have
more than $125 left on her iTunes card.
Inequality:
Solve your inequality from Part A. How many games
could she download?
Answer:
this is the way id do this.
Step-by-step explanation:
250-125=125
125/5=x (the number of games)
x=25
or
250-125/5x
Answer:
25 games
Step-by-step explanation:
250-125=125
125÷5=25
can some one please help me please
Answer:
D. Last one
Step-by-step explanation:
the 5 and the 3 in the parenthesis is the price for the large toy car while being added to the price of the small toy car outside the parenthesis equaling to the total price
Answer:
C , THE THIRD ONE
$18.00
Step-by-step explanation:
5×3=15
$3+$15=$18
Can someone please help my daughter. It's on a timer so she has 10 minutes left. No links people no links no links. The question is in the picture. It's the question Number 2.
Answer: 108° ; 165°
Step-by-step explanation:
180(n - 2) is the formula to figure out the total degrees in a polygon.
A pentagon has 5 sides, so:
180(5-2) = 180(3) = 540°
Divide the total degrees by the number of angles (a pentagon has 5 angles):
540° ÷ 5 = 108°
24-gon:
180(24 - 2) = 180(22) = 3960°
3960° ÷ 24 = 165°
Answer: 108° ; 165°
Step-by-step explanation:
180(n - 2) is the formula to figure out the total degrees in a polygon.
A pentagon has 5 sides, so:
180(5-2) = 180(3) = 540°
Divide the total degrees by the number of angles (a pentagon has 5 angles):
540° ÷ 5 = 108°
24-gon:
180(24 - 2) = 180(22) = 3960°
3960° ÷ 24 = 165°
A group consisting of 14 aggressive zombies quadruples in size every hour. Which equation matches the number of zombies after 6 hours?
The exponential equation that matches the number of zombies after 6 hours is the possible option;
Z = 14 × 4⁶
What is an exponential equation?An exponential equation is one in which the argument is an index or power of a constant.
The initial number in the group of zombies = 14
The amount by which the group increases every hour = The group quadruples every hour
The required equation; The equation that matches the number of zombies after 6 hours
The information in the question indicates that the sequence is a exponential, which can be presented using the following equation;
Z = a·rⁿ
Where;
Z = The number of zombies after n hours
a = The first term = The initial number of zombies in the group = 14
r = The common ratio = The amount that multiplies members of the group every hour = 4
n = The number of hours after which the number in the group is evaluated
Therefore, after 6 hours, n = 6, and we get;
a₆ = 14 × 4⁶ = 14 × 4⁵ = 14336
The equation from the possible options, obtained from a similar question posted online, that matches the number of zombies after 6 hours is therefore;
Z = 14 × 4⁶
The possible options are;
Z = 4·(14)⁶
Z = 4·(1 + 14)⁶
Z = 14·(1 + 4)⁶
Z = 14·(4)⁶
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Evaluate the function.
ƒ(x) = 2x + 1
f(x) = 7
Answer:
Read below
Step-by-step explanation:
Step 1: Multiply 2 by x: 2x
Step 2: Add 1 to 2x: 2x + 1
Step 3: Substitute x with 7: 2(7) + 1
Step 4: Multiply 2 by 7: 14 + 1
Step 5: Add 1 to 14: 14 + 1 = 15
(2×/×+3)- (×/×-3)=(3÷3-×)
Answer:
x = 6
Step-by-step explanation:
(2×/×+3)- (×/×-3)=(3÷3-×)
2x/x+3-x/x+3= 1-x
2 + 3 - 1 + 3 - 1 = x
8-2 = x
x = 6
Here are the first 4 terms of a sequence.
85 81 77 73
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.
Answer:
a) (i) Next term = 69a) (ii) Subtract 4 from each term to get the next term. For example, 85-4 = 81 and 81-4 = 77, and so on.b) The 10th term is 49 The work for part (b) is shown in the next section below.==================================
a1 = 85 = first term
d = -4 = common difference
an = a1 + d(n-1)
an = 85 - 4(n-1)
an = 85 - 4n + 4
an = -4n+89
a10 = -4*10+89
a10 = 49 is the tenth term
S2 Alg I Unit 3B Common Unit Assessment (MC&CR) / 5 of 11
If (x - 3)2 = 5, what vakies of x make the quadratic equation TRUE?
O A. 3+5
ОВ.
+
3
O C. -5+3
O D. -3 + 5
3y2 + 4ab + 7y2 + ab
Answer:
Combine like terms:
10y2 + 5ab
Step-by-step explanation:
Is your simplified algebraic expression.
Algebra: PLEASES QUICK DUE SOON!!!
In Completing the Square problems, what formula do you use to find c?
Answer:
Solve the equation
x2−(3+1)x+3=0
by the method of completing the square. i dont know if its right
Step-by-step explanation:
028)
the cost to insure jewellery is a fixed amount plus a percentage of the value of the jewellery. it costs 32$ to insure 1000$ worth of jewellery or 44.5$ to insure 3500$ worth of jewellry.what is the fixed amount to insure jewellery?
i wrote jewellery so much it isnt a word anymore send help ( explanatio ) asap!
Answer:
The fixed cost to insure jewellery is $0.602.
Step-by-step explanation:
We can use the information provided to set up a system of two equations in two variables, and then use the system to solve for the fixed cost of insuring the jewellery. Let x be the fixed cost and y be the percentage of the value of the jewellery. Then we can write the following two equations:
1000x + 1000y = 32 (1) (cost equation for insuring $1000 worth of jewellery)
3500x + 3500y = 44.5 (2) (cost equation for insuring $3500 worth of jewellery)
We can use either of these equation to solve for the fixed cost(x), to do that we can first solve for y from either of the equation, and then substitute it in other equation.
From equation (1)
y = (32 - 1000x) / 1000
then substitute this in equation (2)
3500x + 3500((32-1000x) / 1000) = 44.5
3500x + 32 - 3500x =44.5 - (1000x)
-20x = -12.05
x = 0.602 $
So, the fixed cost to insure jewellery is $0.602.
That means you have to pay $0.602 as a fixed cost, in addition to 0.01(y) as a percentage of the value of jewellery to insure it.
Can someone please help me with these pleaseeeee
Please help I’ll give brainliest!!!!
What is a minimum of 3 examples of polynomials?
Answer:
4x + 3
10x² - 7x + 3
18x² - x + 5
Step-by-step explanation:
A polynomial must consist of 2 terms, one with a variable ( x ) and one as a constant ( any number )
An example of a number with a variable is 4x
An example of a constant is 3
add the two together 4x + 3 and you get a polynomial
More examples are 5x + 9 or -2x - 8
Polynomials can have more than 2 terms. ( the third term has an exponent and variable )
An example of a polynomial with more than 2 terms is 10x² - 7x + 3
HELP!! Find the value of… (picture)
Answer:
C. 94
Step-by-step explanation:
|A| = [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
det(A) = a * [tex]\left[\begin{array}{ccc}e&f\\h&i\\\end{array}\right][/tex] - b * [tex]\left[\begin{array}{ccc}d&f\\g&i\\\end{array}\right][/tex] + c * [tex]\left[\begin{array}{ccc}d&e\\g&h\\\end{array}\right][/tex]
OR
det(A) = aei - afh - bdi + bfg + cdh - ceg
|A| = [tex]\left[\begin{array}{ccc}-2&-2&-5\\2&7&-3\\8&9&9\end{array}\right][/tex]
det(A) = -2 * [tex]\left[\begin{array}{ccc}7&-3\\9&9\\\end{array}\right][/tex] - (-2) * [tex]\left[\begin{array}{ccc}2&-3\\8&9\\\end{array}\right][/tex] + (-5) * [tex]\left[\begin{array}{ccc}2&7\\8&9\\\end{array}\right][/tex]
OR
det(A) = (-2)(7)(9) - (-2)(-3)(9) - (-2)(2)(9) + (-2)(-3)(8) + (-5)(2)(9) - (-5)(7)(8)
det(A) = 94
Please help!!! This is WAY overdue and I need to submit it by tonight or it won't be accepted!!!!
Answer:
D
Step-by-step explanation:
It's the most logical of them all, it can't be A, it wouldn't make sense if it's C, and for D it says 6 if -5<x<-1 and it has the little line on 6 for y, it sounds a little complicated but that's my logic
If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits?
Answer: the answer is the option
Employee B: gross pay $32,900, total job benefits $34,000
hope this helped you
I need help with this geometry!
Answer:
[tex]7.8(sin23^o)[/tex]
Step-by-step explanation:
[tex]Sin23=\frac{opp}{hyp}[/tex]
[tex]Sin23=\frac{BC}{7.8}[/tex]
[tex]0.3907=\frac{BC}{7.8}[/tex]
[tex]BC=3.04746[/tex]
----------------------
hope it helps...
have a great day!!
Why is the sum of three consecutive even integers always a multiple of 3
Answer:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6 = 108.
What is an equivalent expression example?
A given set of expressions are known as equivalent expression if and only if the result after evaluating those expression is the same number.
Example,
3 + 2 = 5
4 + 1 = 5
5 + 0 = 5
These three are equivalent as because the sum of all of them is same , i.e., 5.
An equivalent expression is an expression which consists of variables, coefficients, constants, and mathematical functions such as addition, subtraction, multiplication, and division.
In general, if two objects are identical, they are then called as identical.
These expressions are also known as duplicates of each other though they look different but they are same.
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PLEASE HELP ILL MARK BRAINLIEST!!!
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the
vertices of the rectangle are located at (2, 1), (2,4), and (-4,4).
a. What are the coordinates of the fourth vertex of the rectangle?
b. What are the dimensions of the rectangle?
c. What is the area of the rectangle?
Answer:
Step-by-step explanation:
the two diagonals of a rectangle have the same middle point
middle point
x = (2-4)/2 = -1
y = (1+4)/2 = 5/2
The diagonal BD must have the same middle point, so we can find vertex D in this way
(x +2)/2 = -1
x+2 = -2
x = -4
(y+4)/2 = 5/2
y+4 = 5
y = 1
fourth vertex : (-4, 1)
2) for find the first dimension we can use this formula
|y2 - y1| = |4-1| = 3
for find the second we can use this one:
|x2-x1| = |-4-2| = |-6| = 6 (a dimension can’t be negative)
3)
A = dimension 1 x dimension 2 = 3 x 6 = 18
Answer:they for it right
Step-by-step explanation:
....
The total number of books sold from 2010-2015 from
Amazon can be modeled by the function
3
2
f(x) = 40x + 8x + 14824x + 33000and the number of kinds
of books at Amazon from that same time period can be modeled
as g(x): =
10x + 22, where x is the number of years since
2010. What is the average number of each kind of book
Amazon sold?
Answer:
If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.
Step-by-step explanation:
From a group of 5 counselors and 8 teachers, 3 counselors and 2 teachers will be selected to attend a conference. In how many ways can the selection be made?
A.
38
B.
3360
C.
280
D.
240
Can anybody help get me 6 more brainliest please I’ll do anything
Answer:
Brainliest this first then I will help you
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:shheshh
What is the volume of this Rectangular Prism?
Maksim was asked on a test "What is the domain of the function: f(x) = √(x - 2)? Explain." Maksim responded with "The function f(x) = √(x - 2) has a domain of all real numbers because any number can be put in for x." Explain if Maksim's answer and explanation were correct. Make sure to use at least two pieces of evidence to support your claim. If he is wrong, state the actual domain.
Answer:
Maksim's answer and explanation are not correct
The actual domain is 2 < x < Infinity
Step-by-step explanation:
The domain of a function is the set that is made up of the possible inputs of the function
The given function is f(x) = √(x - 2)
Maksim's response for the domain of f(x) is x ∈ R ('x' is a member of the set of all real numbers
The function is not defined when x < 2, at which the expression, x - 2, will become negative, and for which the square root of the negative number is imaginary
Therefore, the domain for which the function is defined is all real numbers larger than 2, which can be presented as follows;
The domain of f(x) = 2 < x < ∞
Therefore Maksim is wrong as the actual domain is limited to 2 < x < ∞.
help! what is the missing length?
Answer:
Hello! answer: 30
Step-by-step explanation:
32 × 30 = 960 HOPE THAT HELPS!
Is Avogadro's number equal to one mole?
One mole consists of 6.02214076×10²³ units which is Avogadro's number. Thus one mole is known as Avogadro's number.
What is one mole?
A mole is 6.02214076×10²³ of any chemical unit, including atoms, molecules, ions, and others. Due to the large number of atoms, molecules, or other components that make up any substance, the mole is a useful measure to utilize. The mole was initially defined as the quantity of atoms contained in 12 grammes of carbon-12, but the General Conference on Weights and Measures declared in 2018 that the mole will only contain 6.02214076×10²³ of some chemical unit as of May 20, 2019.
In chemistry, a mole, sometimes spelled mol, is a common scientific measurement unit for significant amounts of very small objects like atoms, molecules, or other predetermined particles.
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