Answer:
A possible solution is she should by 6 bags of popcorn and 10 drinks
Step-by-step explanation:
The price of each bag of popcorn = $7.50
The price of each drink = $4.50
The amount Sarah has to spend = $90
The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks
Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y
Therefore, we have;
x + y ≥ 16.....(1)
x × 7.5 + y × 4.5 ≤ 90
Which gives;
7.5·x + 4.5·y ≤ 90....(2)
Rewriting the inequalities as a function of y, gives;
From inequality (1), x + y ≥ 16, we have;
y = ≥ 16 - x
From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;
7.5·x + 4.5·y ≤ 90
4.5·y ≤ 90 - 7.5·x
y ≤ 90/4.5 - 7.5/4.5·x
y ≤ 20 - 5/3·x
Please find attached, the plot of the inequalities
A possible solution is given as the value of x = 6, where y = 10
Therefore, she should by 6 bags of popcorn and 10 drinks.
can anyone explain how to find slope?
Answer:
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
so you will have to use m= rise/ run and for ex if you have the points (4,6) and (-3,3) you would lable 4 as x1, 6 as y1, -3 as x2, and finally 3 as y2 then you would use this form to find slope m= y2-y1/ x2-x1 then you would plug in numbers 3 - 6/ -3 - 4 then you would do the math and get -3/-7 (2 negatives equal a positive) so you would get 3/7 and theres the slope the slope is 3/7
bob claims that he can map rectangle 1 to rectangle 2 select all of the transformations or series of transformation that support his claim
Answer:
The first thing you need to notice is that each mark in the coordinate axis represents 2 units.
Now, let's analyze each option that maps rectangle 1 to rectangle 2.
Reflection over the line x = 1, and a translation of 2 units down.
You can see that the right end of rectangle 1 us located at x = -2
The distance between x = -2 and the line of reflection is:
1 - (-2) = 3
Then the left end of the reflected rectangle will e 3 units at the right of x = 1.
1 + 3 = 4
Will be at x = 4, same as rectangle 2.
Now we move it 2 units down, and we will have rectangle 1 mapped into rectangle 2.
Translation of 12 units right, and then 2 units down.
The right end of rectangle 1 is at x = -2
The right side of rectangle 2 is at x = 10
The difference is 10 -(-2) = 12
Then we must move rectangle 1 12 units to the right.
Now, same as before, we can move rectangle 1 2 units down and we will have rectangle 1 mapped into rectangle 2.
Rotation of 180° around the point (1, 4)
This means a reflection over the line x = 1, followed of a reflection over the line y = 4.
We already see that a reflection over the line x = 1 leaves rectangle 1 right above rectangle 2. And the line that separates them is the line y = 4, then when we do a reflection over that line, we will have rectangle 1 mapped into rectangle 2.
Answer:
D, E, and F
Step-by-step explanation:
n^6
——
n^3
(n^6 divided by n^3)
Answer:
n³
Step-by-step explanation:
Exponent Division Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]
Step 1: Define
n⁶/n³
Step 2: Use Exponent Rule
n⁶/n³ = n⁶⁻³ = n³
Answer:
n^3
Step-by-step explanation:
Apply the exponent rule:
x^a
----- = x ^ a-b
x^b
so basically, you're saying n ^ 6-3, which is n^3
7. PLS I NEED AN ANSWER ASAP
Part A: 3x + 15 = 5x - 25
Part B: x = 20
rounded to the nearest thousandth the number 0.00006132 is___
Answer:
to the right of the decimal is tenths > hundredths > thousandths so since at the thousands place the following number is 0 you round down so the answer is 0
Step-by-step explanation:
Calculate the total area of the figure below.
Answer:
156
Step-by-step explanation:
PLEASE HELP ASAP *TIMED TEST*
What is the slope of the line represented by the equation y = 4/5x - 3?
A: -3
B: -4/5
C: 4/5
D: 3
I WILL GIVE YOU BRAINLIEST IF YOU GIVE AN ACTUAL ANSWER
If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side.
Answer:
Step-by-step explanation:
You could make 8 different ways
24 = 1*24 = 2*12 = 3*8 = 4*6 = 6*4 = 8*3 = 12*2 = 24*1
Line u has a slope of -3/4. Line v is parallel to line u. What is the slope of v
Answer:
-3/4
Step-by-step explanation:
Slopes are equal for parallel lines
Slope of line v is -3/4
Enter an equation to describe the linear relationship.
The temperature, y, of a pot of water is 35 °
F. The temperature increases by 20 °
F per minute, x, when being heated.
The equation is y =
Answer:
x
Step-by-step explanation:
What is the conclusion in this conditional statement?
If a city is in the United States, then it is in North America.
Answer:
Yes
Step-by-step explanation:
Answer:
True because if the United States is in North America which it is, a city of the United States is most likely to be in North America.
Step-by-step explanation:
What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x
Help me out I’m bad at this type of stuff
Answer:
the answer is 3 1/2 hours
Explanation: Just add all the fractions and numbers and subtract that by 9 1/4
A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x
Answer:
the answer to the question is A
An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:
y = 4(3)²ˣ
Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
Learn more about Equation:
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Which equations are equal to A= 1/2bh?
Options: A. b= 2A/h
B. b= A/2h
C. h= (1/2) A/b
D. h= 2A/b
does 3x-4=2(x-3)+x have infinite solutions
here is a list of numbers.
-45 -21 -16 12 33 40
Answer:
-45, -21, -16, 12, 33, 40
Step-by-step explanation:
Answer:
Question A)
-21+12 =answer= -21 and 12
Question B)
45-16=29 =answer= -45 and -16
Question C)
The total is 3.
Thanks.
If you order 3 chickens wraps and order 2 orders of potatoes for a total bill of $42.95 someone else orders 5 chicken wraps and 4 orders of potatoes for a total bill of $74.91. What is the cost of a chicken wrap and what is the cost of one order of potatoes
Answer: The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
Step-by-step explanation:
Let the cost of a chicken wrap be x
Let the cost of one order of potatoes be y.
From the question,
3x + 2y = $42.95 ...... equation i
5x + 4y = $74.91 ....... equation ii
Multiply equation i by 5
Multiply equation ii by 3
15x + 10y = $214.75 ..... equation iii
15x + 12y = $224.73 ....... equation iv
Subtract equation iv from equation iii. This will be:
-2y = -$9.98
y = $9.98/2
y = $4.99
Since 3x + 2y = $42.95
3x + 2($4.99) = $42.95
3x + $9.98 = $42.95
3x = $42.95 - $9.98
3x = $32.97
x = $32.97/3
x = $10.99
The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
help!!!! due now ( right answer's only)
Answer:
Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest
Step-by-step explanation:
The vertex of a parabola means the stationary point/turning point which is denoted by the following:
[tex]x=\frac{-b}{2a} \\[/tex]
and for y we just simply put the value of x that we get into the equation so lets get started
The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation
and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values
a=1 , b=-2 , c=-6
and now for the vertex
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]
and now for y
[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]
so the vertex is (1,-7)
and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.
Answer:
hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.
Step-by-step explanation:
What is 17x - (217/19) please answer ASAP
-4x + 6(4x -3)= -8 help im timed
Answer:
x = 1/2
Step-by-step explanation:
Step 1: Write equation
-4x + 6(4x - 3) = -8
Step 2: Solve for x
Distribute 6: -4x + 24x - 18 = -8Combine like terms: 20x - 18 = -8Add 18 to both sides: 20x = 10Divide both sides by 20: x = 1/2Step 3: Check
Plug in x to verify it's a solution.
Substitute: -4(1/2) + 6[4(1/2) - 3] = -8Evaluate: -2 + 6[2 - 3] = -8Evaluate: -2 + 6(-1) = -8Evaluate: -2 - 6 = -8Evaluate: -8 = -8ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEE
Answer:
4*(-5) = -20
Step-by-step explanation:
What is the equation of the line that passes through the point (-3,0) and has a
slope of -1/3
Step-by-step explanation:
slope= -1/3 (-3,0)
y=mx-or+b
y= -1/3(-3)+b
y= 3/3+b
y=1+b
0=1+b
b= -1
the equation is y= -1/3x-1
DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain it thoroughly?
Step-by-step explanation:
the answer is 50 because 2x-=76 is k :)
Answer:
k (oats in cups) = 25 (grams of almonds)
Step-by-step explanation:
If you look at the coordinates given in the question (1,k) where we are told to find k.
A coordinate is a pair of one x and y value, an input and output in a relationship.
2d coordinates are in the form of (x,y), this means that (1,k) is representing what k will be when x is 1. So to find k, we must look at where y (the amount of almonds in this instance) is when x (the oats) is 1.
This graph looks to be y = 25x.
Where y is the oats in cups, and x is the grams of almonds. This is a proportion which means that there are 25 grams of almonds for every 1 cup of oats.
HELP WIL GIVE BRAINLEIST
Answer:
Sorry and where is your questions..
Please help look at the screenshot
Answer:
Step-by-step explanation: 40 newtons to the right
PLZ HELP DUE IN 20 MINS
The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals? (4 points)
a
D and E are similar but not congruent.
b
E and F are similar and congruent.
c
D and E are similar and congruent.
d
F and D are similar but not congruent.
Answer:
B.
Step-by-step explanation:
It was just angled in a different way
Find the Highest Common Factor (HCF) of 196 and 12
Answer:
The greatest common factor is 4
Step-by-step explanation:
1.Find the prime factorization of 12
a) 12 = 2 × 2 × 3
2.Find the prime factorization of 196
a) 196 = 2 × 2 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
a)GCF=2x2
Therefore, GCF = 2 × 2
GCF = 4
The greatest common factor of the numbers 196 and 12 is 4.
What is the greatest common factor?The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. The greatest common factor is the largest number which can divide both the numbers.
1. Find the prime factorization of 12
12 = 2 × 2 × 3
2. Find the prime factorization of 196
196 = 2 × 2 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
GCF=2x2
GCF=4
Therefore, the greatest common factor of the numbers 196 and 12 is 4.
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The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
1. Factor the expression completely 20x^4+80x^3-5x^2-20x
Answer:
5x(x+4)(2x+1)(2x−1)
Step-by-step explanation: