A linear equation can have one or more variables.
The constraints on the formula are the costs of plain coffee and cost of flavored coffeeThe equation of f is: [tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex].The maximum number of packages of flavored coffee she can buy is 3The function is given as:
[tex]\mathbf{T = 5.50p + 7f}[/tex]
(a) The constraints when T = 40
Substitute 40 for T in [tex]\mathbf{T = 5.50p + 7f}[/tex]
[tex]\mathbf{5.50p + 7f = 40}[/tex]
The variables in the above equation are p and f
Hence, the constraints are the cost of a package of plain coffee and the cost of a package of flavored coffee
(b) Solve for f
In (a), we have:
[tex]\mathbf{5.50p + 7f = 40}[/tex]
Subtract both sides by 5.50p
[tex]\mathbf{7f = 40 -5.50p }[/tex]
Divide both sides by 7
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Hence, the equation of f is:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
(c) The maximum number of flavored coffee when she buys 3 packages of plain coffee
In (b), we have:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Substitute 3 for p
[tex]\mathbf{f = \frac{40 -5.50 \times 3}7 }[/tex]
[tex]\mathbf{f = \frac{40 -16.50}7 }[/tex]
[tex]\mathbf{f = \frac{23.5}7 }[/tex]
Divide
[tex]\mathbf{f = 3.36 }[/tex]
Remove the decimal part (do not approximate)
[tex]\mathbf{f = 3 }[/tex]
Hence, the maximum number of packages of flavored coffee she can buy is 3
Read more about linear equations at:
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A square has an area of 112 in2. What is the side
length?
Answer:
a=10.5
a=A=112≈10.58301in
The real picture of my previous question is this
Answer:
x = 120
Step-by-step explanation:
Assuming you require to find the value of x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
140 + 150 + 90 + x + 130 + 90 = 720 , that is
x + 600 = 720 ( subtract 600 from both sides )
x = 120
− 4/1 a−4= 4/7 a−3
The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125
The given equation is:
[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]
Cross multiply:
[tex]-4(7)(a-3) = 4(a-4)[/tex]
Divide both sides by 4
[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]
Expand the bracket using the distributive rule
-7a + 21 = a - 4
Collect like terms
a + 7a = 21 + 4
Simplify the arithmetic
8a = 25
Divide both sides by 8
[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]
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Help me pretty pleeaaasse? :) I will mark brainliest.
Answer:
<R = 30
LM = 6 sqrt(3)
Step-by-step explanation:
Since the figures are congruent
<R = < L
<S = <M
< T = <N
RS = LM
ST = MN
RT = LN
<L = 30 so <R = 30
RS = 6 sqrt(3) so LM = 6 sqrt(3)
name the intersection of plane B and plane C
Answer:
Hi, I believe they would be parallel because they don't intersect?
Hope this helps!!
How do you solve -13+x=23+2x
Answer:
[tex]\boxed {x=-36}[/tex]
Step-by-step explanation:
[tex]\sf -13+x=23+2x[/tex]
[tex]\sf -13+x+13=23+2x+13[/tex]
[tex]\sf x=2x+36[/tex]
[tex]\sf x-2x=2x+36-2x[/tex]
[tex]\sf -x=36[/tex]
[tex]\sf \cfrac{-x}{-1}=\cfrac{36}{-1}[/tex]
[tex]\sf x=-36[/tex]
(10x-18) (8x+14) value of x
Answer: 80 x^3 - 4x^2- 252x
Step-by-step explanation:
Answer:
80^2 − 4 − 252
Step-by-step explanation:
in pic
(Credit: Symbolab)
(hope this helps can I pls have brainlist (crown)☺️)
Which graph shows the solution to the system of inequalities?
the first stage in the rational decision-making process involves ______.
Answer:
Identifying the problem
-50= 6a+28 please help
Answer:
a=-13
Step-by-step explanation:
-50=6a+28
isolate the a
-50-6a=28
-6a=28+50
-6a=78
divide both sides by -6
a=-13
Factorize the following
7x + 19x + 12
3x square - 13x + 10
6y square + 3y - 9
Answer:
2(13x+6)
(3x-2)(x+5)
3(y-1)(2y+3)
Step-by-step explanation:
hoffe das hilft
Pls Help!! (ILL GIVE BRAINLIEST)
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, 0), Q(0, â’4), and R(â’8, â’4). Triangle P′Q′R′ has vertices P′(1, 0), Q′(0, â’1), and R′(â’2, â’1).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer.
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis.
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer.
Answer:
your mom lol sooooooooooooo
HELP DUE IN 10 MINUTES!!!
Two step equations word problems
In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
1. Write an equation to determine the original price per pound (p)
2. Find the original price per pound.
Answer:
$1.21Step-by-step explanation:
Original price = pNew price = p + 0.75Equation:
3(p + 0.75) = 5.88p + 0.75 = 5.88/3p + 0.75 = 1.96p = 1.96 - 0.75p = 1.21Mr. Chan handed out eight tenths of his flyers.Write a fraction and a decimal that Represents The amount of Flyers that he handed out.
4x + 6 = 2(2x +3) is an example of what type of equation?
Answer:
Simplifying
4x + -6 = 2(2x + 3)
Reorder the terms:
-6 + 4x = 2(2x + 3)
Reorder the terms:
-6 + 4x = 2(3 + 2x)
-6 + 4x = (3 * 2 + 2x * 2)
-6 + 4x = (6 + 4x)
Add '-4x' to each side of the equation.
-6 + 4x + -4x = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-6 + 0 = 6 + 4x + -4x
-6 = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-6 = 6 + 0
-6 = 6
Solving
-6 = 6
Directions: On each line, write the term from the word bank that correctly completes each sentence. Some terms will be used more than once.
autotroph(s)
binomial nomenclature
habitat
heterotroph
taxon
1. An organism that obtains energy from other organisms is called
a(n) heterotroph .
2. An organism that converts light energy into usable energy is called
a(n) autotroph .
3. A group of organisms is called a(n) taxonomy .
4. A(n) habitat is a specific environment where an organism lives.
5. Binomial nomenclature is a naming system that gives each living thing a two-word
scientific name.
6. Binomial nomenclature was created more than 300 years ago by scientist Carolus
Linnaeus.
7. Most organisms are adapted to live in a specific habitat .
8. A(n) plant uses light energy to convert carbon dioxide and water
into carbohydrates, or sugars.
HELPPPPPPPPPPPPPPPP
Answer:
uuuu
Step-by-step explanation:
Answer:
1. A heterotroph
2. An autotrophs
3. Genus
4. An habitat
5.The binomial nomenclature system combines two names into one to give all species unique scientific names.
6. Carolus Linnaeus
7. Living organisms residing in a habitat are called biotic components.
8. Photosynthesis
A doctor has 12000 paitents .
4560 of these paintents are male .
What percentages of these paintents are female ?
Answer:
38
Step-by-step explanation:
Equation for percentage change is
Difference/total x 100
so 4560/12000x100=38%
Answer: i’m sure it’s 62%
Step-by-step explanation:
What is the equation for the line parallel to y=2x+13y=2x+13 that contains (8,-4)(8,−4)?
I will assume you meant y = 2x + 13
Answer: y = 2x - 20
NEED HELPPP, ALL MY POINTS
Answer:
see step by step
Step-by-step explanation:
sqrt 49
sqrt 64
sqrt 81
sqrt 100
perfect squares are always rational numbers because when solving any of these square roots they make whole numbers.
The speed of light is 299 792 458 m / s
Which decadic units can you round to so that only one non-zero digit is produced?
Answer:
299,792,460
Step-by-step explanation:
just round to the nearest 10th
Answer:
The speed of light is exactly 299,792,458 m/s because that is how a meter is defined. A meter is defined as the distance light travels in 1/299792458 seconds in vacuum. Why was this particular number chosen? To keep the definition of meter consistent with the old standard which was an actual physical bar. The length of this bar was arbitrary though.
Step-by-step explanation:
Your welcome :)
FINAL ROUND!! Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve :
[tex]4a + 7 \leqslant 35[/tex][tex]4a \leqslant 28[/tex][tex]a \leqslant 28 \div 7[/tex][tex]a \leqslant 4[/tex]Solve the system of equations by graphing.
{y = 3x + 8
{2x - y = 6
6 is less than or equal to the sum of a number and 15
Answer:
[tex]6\leq x+15[/tex]
Step-by-step explanation:
hope this helped
A cookie recipe calls for 2 eggs and makes 3 dozen cookies. How many dozens of cookies could you make with a dozen eggs
Answer: 18 dozen cookies.
Step-by-step explanation: If 2 eggs make 3 dozen cookies and you have a dozen eggs divide 12/2 = 6. Then multiply 6*3 = 18.
Answer:
18 dozen cookies
Step-by-step explanation:
2 eggs makes 36 cookies
That means 2x=36
x=18
Now plug that into the equation.
12(18)=216
216 is how many cookies
take that number and divide by 12 (for a dozen)
Solve the math problem
Answer:
x = 52°Step-by-step explanation:
The 124° angle is exterior to the given triangle.
The exterior angle is the sum of non- adjacent interior angles:
x + 72 = 124x = 124 - 72x = 52°Sum.of two interiors=Exterior
x+72=124x=124-72x=52°Please solve!!!! I have been trying to figure out for the past 20 years of my life>
Answer:
ergerge
Step-by-step explanation:
Answer:
What is it freaking asking???
Step-by-step explanation:
Steven deposits $200 in a savings account, and decides to increase the amount by $5 every month. Identify the function that describes the arithmetic sequence, and the amount he should deposit after 8 months.
possible answer: D = 8n + 200; $240
possible answer: D = −5n + 200; $160
possible answer: D = 5n + 200; $240
possible answer: D = −8n + 200; $160
The required equation is D = 5n + 200 and the amount deposited after 8 months is $240
Given the amount that steven deposited every month as $200
Let n be the number of months
If he decides to increase the amount by $5 every month, then the amount added after n months will be $5nThe function that describes the arithmetic sequence will be expressed as sum of the amount deposited and increment:D = 200 + 5n = 5n + 200
In order to get the amount deposited after 8 months, we will replace n by 8 to have:
D = 200 + 5(n)
D = 200 + 5(8)
D = 200 + 40
D = 240
Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240
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Write the slope intercept for of the equation of the line through the given points.
(4, 2) and (0, -5).
A) y=-7/4x-5
B) y=-5/4x-5
C) y=7/4x-5
D) y=5/4x-5
C) y = 7/4x - 5 .................
how many cubes are colored on one side when there are 729 cubes that form a 9 x 9 x9 cube
Answer:
9x9x9
9x9=81
81x9=729
The answer is 729.
On a Physical Science exam, students earn 3 points for a correct response, 1 point for a partially
correct response, and 0 points for an incorrect response Suppose a student had 8 partially correct
responses and 4 incorrect responses and received a total of77 points on the exam. Write an
equation that can be used to solve for the number of correct responses the student had. Use c to
represent correct responses.
O 77=C+4
077 - 3C+8
O 77= 30+ 4
O 77= C+8
Answer:
77=c=8
Step-by-step explanation:
