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
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please help! Cant find the answer!Thank you!!
Answer:
The coordinates of A" are (4, 2)
Step-by-step explanation:
- 2/3+ 1/3 helpppp lol
-0.33333333333
Step-by-step explanation:
23+13 = ?
The two fractions already have like denominators, so just add the numerators:
-23+13=-2 + 13=-13
The result is:
-23+13=–13
Answer:
-2/3 + 1/3 = -1/3
Step-by-step explanation:
using addition to solve a fraction with the same base
step 1: take the denominator of both fractions and clear them from the equation
ex: -2/3 + 1/3 = ? (-2 + 1 = ?)
step 2: solve the new equation -2 + 1 to get your answer of
ex: -2 + 1 = ? (-2 + 1 = -1)
step 3: since both denominators of the fractions have the same number then our answer will also have a denominator of 3 giving us the answer to the problem -2/3 + 1/3 = ? is -1/3
plz give brain if this helps and is correct. thx
How many solutions does this equation have?
6h−(9−3h)=6−3(h+2)
It has no solution but it has a answer.
Answer:h = 3/4
Exact form: h = 3/4
Decimal form: h = 0.75
Step-by-step explanation:
What I did was Factor and set each factor equal to zero. Also I tried to Find All Complex Solutions and it only has one, and how I came up with the solution is by solving the Inequality for h.
Answer:
no solution
Step-by-step explanation:
Bert made 3 batches of his uncle's signature spicy wing sauce for a barbecue last weekend.
He didn't want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of
hot sauce he put in each batch by 2 ounces. Bert used 24 ounces of hot sauce in all to make
the wing sauce.
Which equation can you use to find u, the amount of hot sauce Bert's uncle usually puts in
each batch of spicy wing sauce?
3(u - 2) - 24
2(0 - 3) - = 24
3u - 2 = 24
2u - 3 = 24
How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?
Write your answer as a whole number or a simplified fraction.
ounces
Algebraic equations are equations that have coefficients and unknown variables in them.
The equation to show how many ounces of spicy sauce Bert's uncle usually put in is given as: 3(u - 2) = 24
The amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce is 10 ounces.
a) We are told in the question that Bert made 3 batches of his uncle's spicy sauce. He reduced the amount of hot sauce and used 2 ounces in each batch. He used 24 ounces of hot sauce in all to make the wing sauce.Let's represent each ounce of hot sauce as u
Hence, the equation to show how many ounces of spicy sauce Bert's uncle usual put in is given as:
3(u - 2) = 24
b) How much hot sauce does Bert's uncle usually put in each batch of spicy wing sauce?The amount of hot sauce Bert's uncle puts in the spicy wing sauce
3(u - 2) = 24
3u - 6 = 24
Collect like terms
3u = 24 + 6
3u = 30
Divide both sides by 3
u = 30/3
u = 10
Bert's uncle puts 10 ounces of hot sauce in the spicy wing sauce.
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What is the slope of the line that passes through the points (8, 4)(8,4) and (20, -4) ?(20,−4)? Write your answer in simplest form.
A side of the triangle below has been extended to form an exterior angle of 135º. Find
the value of x.
xo
135
115
Answer:
X = 45
Step-by-step explanation:
x + 135 = 180 {Linear pair}
x = 180 - 135 {Subtract 135 from both sides}
x = 45
A bag contains 2 red, 4 yellow and 6 blue balls. the probability of drawing a blue ball from the bag at random is
Answer:
1/2
Step-by-step explanation:
because add 2 4 6 it gives 12
blue is 6 divide 6 by 12 it gives 1/2
can someone please help me
Answer:the answer Plane
Step-by-step explanation:
Answer:
Plane is the correct answer
Step-by-step explanation:
Question 6
What is the slope of the line whose equation is
2y = 3x + 4?
Answer:
3/2 or 1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
y = mx + c
m = the slope
2y = 3x + 4
y = 3x + 4 / 2
y = 1.5x + 2
slope = 1.5
Please help!! Find the length of the third side. If necessary, write in simplest radical form.
============================================================
Work Shown:
[tex]a^2 + b^2 = c^2\ \text{ ... pythagorean theorem}\\\\4^2 + x^2 = \left(\sqrt{65}\right)^2\\\\16 + x^2 = 65\\\\x^2 = 65-16\\\\x^2 = 49\\\\x = \sqrt{49} \ \text{ ... only consider the positive root}\\\\x = 7\\\\[/tex]
I need help with this question
The numbers shown above belong to which of the following sets of numbers?
I. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers
A.
I, II, III, and IV
B.
I and IV only
C.
II only
D.
I only
The answer is iii which are whole numbers
The correct way of representing different types of numbers is,
B. I and IV only
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set
Complex numbers (a + ib)
Real numbers Imaginary numbers.
(a + i0) (0 + ib)
Rational numbers Irrational numbers
(perfect squares) (non-perfects squares)
Fractions.
(p/q, q ≠ 0)
Integers.
(whole nos. -: 0 to ∞)
(negative integers -: - ∞ to - 1)
(positive integers -: 1 to ∞)
The type of numbers in which every next type is a subset of the previous type is Natural numbers ⊂ Whole numbers ⊂ Intergers ⊂Rational numbers.
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Can someone maybe help me on number 6 and 7?
Answer:
39 and 22
Step-by-step explanation:
your adding by 5 so if you continue that you'll get 39
as for the bottom one it's adding by by 3 so if we continue that we'll get 22
Determine if the sequence 0.2 comma 1 comma 5 comma 25 comma... is arithmetic or geometric. Then identify the next term in the sequence.
A
geometric; 125
B
arithmetic; 75
C
arithmetic; 125
D
geometric; 75
Answer:
The answer would be C.
Step-by-step explanation:
0.2 x 5 = 1
1 x 5 =5
5 x 5 = 25
So your next number in the sequence should be 125.
p(-2)=-3+4x please help
Answer:
first off, this may be completely wrong, but I did try my best. You need to clarify what this is for so I went with the easiest route, solving for variables.
P=0
X= - 3/4
Step-by-step explanation:
P(-2)=-3+4x
Solving for X
-2P=-3+4x
-2(0)=-3+4x
-3=4x
- 3/4=X
Solving For P
P(-2)=3+4(- 3/4)
P(-2)3-3
P=0
Solve using quadratic equation (a-2)2 =8
Answer:
a=6
Step-by-step explanation:
(a-2) x 2 =8
remove parentheses
2a-4=8
move constant to the right
2a=8+4
calculate
2a=12
divide both sides
a=6
QUICK brainiest ASAP! ive been posting this over and over for days and no response what's up with brainy these days?? Use a trigonometric ratio to find the measure of θ in the triangle below. Give your answer to the nearest degree. You may use the trigonometric functions of the Desmos scientific calculator: SHOW ALL YOUR WORK so I can see if the answer makes sense!
Answer:
64 degrees
please mark brainliest
Step-by-step explanation:
[tex] \sin( \alpha ) = \frac{opp}{hyp} \\ \sin( \alpha ) = \frac{9}{10} \\ \alpha = { \sin }^{ - 1} ( \frac{9}{10} ) \\ \alpha = 64.15 \\ \alpha = 64[/tex]
Find the exterior angle
Answer:
x = 128 degrees
Step-by-step explanation:
So we know that a triangle's interior angles should add up to 180 degrees.
We also know that when a triangle has that little square in a corner, that corner is equal to 90 degrees.
With these clues, we can figure out that the last interior angle is equal to:
180 - (38+90) = 52, however this isn't the answer we are looking for.
We also know that a straight line is 180 degrees. Therefore, to find the exterior angle we just subtract the interior angle from 180 degrees:
180 - 52 = 128
x = 128
Which is the better buy?
A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?
Please show ALL of your work.
hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.
Answer:
450g box of cereal for $4.69 is cheaper
Step-by-step explanation:
450/4.69 = 95.9488272921/1
600/6.49 = 92.4499229584/1
I NEED ANSWERS!!
THE POINTS ARE 25
Answer:
B. 1 1/3
Step-by-step explanation:
Exact Form 4/3
Decimal form 1.3
Mixed Number 1 1/3
Select the expression that has a value of 2.472.
A. 0.824 x 3
B. 8.24 x 3
C. 82.4 x 3
D. 824 x 3
Answer:
A. 0.824 x 3=2.472
Step-by-step explanation:
hope this helps
Evaluate: 7.921 x 104.
79,210,000
7,921
792.1
79,210 Will mark brainly
Need now!!
Answer:
79,210,000
Step-by-step explanation:
:)
Someone please help:)))
Answer:
y = x + 5
Step-by-step explanation:
The y values are 5 more than the x values.
Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for 1 1/2 hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?
Answer:
it should be 250m
Step-by-step explanation:
Bus X travels 40m for 2h which gives you 80m and Bus Y travels 60m for 11/2h which gives you 330m so the difference in miles is 250m
Denise bought a T-shirt at the sale price of $21.08. This represents a 15% decrease in price. What was the original price of the shirt?
Answer:
100% - 15 % = 85 %
So, $21.08 represents the 85% sale price
What number represents the other 15% of the original price?
(21.08 x 15) / 85 = 3. 72
$21.08 + $3.72 = $24.80 which is the original price.
Step-by-step explanation:
Which is the solution set of this
inequality?
- 2n – 7> -25
-
A. n> 16
B. n< 16
C. n>9
7
D. n<9
Answer: n> 16
:))))))))
Simplify
8r^0
A. 8
B. 1
Answer:
A). 8 is correct answer
Step-by-step explanation:
8 x 1 = 8
(Hope this helps can I pls have brainlist (crown )☺️
What does m represent in the equation y= mx+b? Iready
Answer:
"m" represents the slope in the linear equation, y = mx + b
Answer:
The slope of the graph of y = mx + b
Step-by-step explanation:
Somebody help me please
Answer:
A and C ....................................
Answer:
the answer is :a and c
Step-by-step explanation:
i did it
In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.
9514 1404 393
Answer:
15.7°
Step-by-step explanation:
The law of cosines can be used to find side s:
s² = r² +q² -2rq·cos(S)
s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903
s ≈ 16.849
Then the law of sines can be used to find angle Q.
sin(Q)/q = sin(S)/s
sin(Q) = (q/s)sin(S)
Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°
Angle Q is about 15.7°.