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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Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.
(anyone want to rp... )
Answer:
add 8x to both sides
Step-by-step explanation:
BRAINLIEST PLEASE !!
Answer:
Step 1: Subtract 3 from both sides of the inequality.
Step 2: Add 8x to both sides
Step 3: Divide both sides of the inequality by the coefficient of x.
Step-by-step explanation:
Step 1: 2 - 8x < 2x
Step 2: 2 < 10x
Step 3: 1/5 < x
what is 10x10x20x10232 hurry i really need help
Answer:
20,464,000
Step-by-step explanation:
Answer: The answer is exactly 204,64000.
Step-by-step explanation: I hope I helped you out.
The average in-state tuition in Florida for the 2018- 18 2019 school year was about $13,700. If the tuition is expected to increase by 15%, what is the expected tuition for the 2019-2020 school year?
i will give brainliest
Answer:
if you see the graph for x=-1
the y is equal -4
you can draw a straight line parallel y axes from point x=-1 it will cut the graph on y=-4
Sandra drove 117 miles in an hour and 30 minutes to visit her son at college, without stopping. If the speed limit is 60 mph, explain why she should or should not get a speeding ticket. Make sure to include mathematical computations in your answer.
Answer:
She should get a speeding ticket. The speed limit is 60mph and her speed was 78 mph, 18 miles over the speed limit.
Step-by-step explanation:
She drove 117 miles in 90 minutes.
117/90 = 1.3 miles per minute
1.3 miles x 60 minutes = 78 mph
Two fifths divided by one half times ( negative one minus 2)
Wyatt jarred 9 liters of jam after 3 days. How much jam did Wyatt jar if he spent 5 days making jam? Solve using unit rates.
Answer:
15 jars of jam
Step-by-step explanation:
9/3=x/5
3x=45
divide by 3
x=15
Four-digit numbers are to be formed from the digits 1,3,4,6,8 and 9. How many different 4 digit numbers can be formed if the digits can be used more than once?
Answer:
infinite
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
almost impossible to predict because it is almost infinite
A recipe for 10 bran muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 3 1/2 cups of flour available. How many muffins can be made?
Answer:
35
Step-by-step explanation:
3 1/2 x 10 =35
make 3 1/2 into an improper fraction: 3 x 2 + 1 = 7/2
make 10 into a fraction: 10/1
find the LCD (least common denominator) for each number:
10/1 = 20/2
7/2 = 7/2
20/2 x 7/2 = 70/2 = 35
:)
Answer:
35
Step-by-step explanation:
For 1 cup of flour, you make 10 muffins. Just by reading the problem, you see that the number of muffins, 10, is 10 times the number of cups of flour, 1.
For 3 1/2 cups of flour, you make 10 times that number muffins.
3 1/2 × 10 = 3.5 × 10 = 35
Answer: 35 muffins
You can also use a proportion.
1 cup flour is to 10 muffins as 3.5 cups flour is to x muffins.
1/10 = 3.5/x
Cross multiply:
1 × x = 10 × 3.5
x = 35
Answer: 35 muffins
Examine the following budget:
Monthly Budget
Budgeted Amount
Actual Amount
Income
Wages
Savings Interest
$1150
$25
$900
$25
Expenses
Rent
Utilities
Food
Cell Phone
Savings for Car
$400
$100
$250
$75
$200
$400
$80
$200
$75
$200
Net Income
$30
What is the actual net income for the month? What, if any, changes would have improved the budget for the month?
a.
The actual net income for the month is -$30. No changes to the budget are necessary.
b.
The actual net income for the month is $30. No changes to the budget are necessary.
c.
The actual net income for the month is $30. More money could have been spent on food.
d.
The actual net income for the month is -$30. Less money could have been spent on food.
Please select the best answer from the choices provided
A
B
C
D
Answer:
Yes the answer is D. The actual net income for the month is -$30. Less money could have been spent on food.
Step-by-step explanation:
Just took the test on Edg. 2021
What is the value of the underlined digit in 249.15?
There is a way to solve this.
2 - Hundredths
4- Tens
9 - Ones
( Beyond the decimal point)
1- Tens
5- Hundredths
Answer:
depends on which digit is underlined!
Step-by-step explanation:
if the digit 2 is underlined, the value would be hundreds
if the digit 4 is underlined, the value would be tens
if the digit 9 is underlined, the value would be ones
if the digit 1 is underlined, the value would be tenths
if the digit 5 is underlined, the value would be hundredths
Line l is the perpendicular bisector of segments ps. Unfortunately, s got lost
Mark point s
The perpendicular bisector of a line divides the line into two equal segments and is perpendicular to the line
The perpendicular distance of point P from the line l is equal to the distance of the lost point s from the line l and points P and s are on opposite sides of the line l
The point s can be marked by constructing the perpendicular to line l passing through P
The steps to construct a perpendicular line from a point to a line and mark point s are given as follows;
Place the compass at the point P, and draw an arc intersecting line l at two points, A and BPlace the compass at point A and draw an arc with a radius, r, larger than half the length of segment AB above and below line lPlace the compass point at point B, and with the same radius r draw arcs intersecting the the arcs drawn from point A above and below the lineMark the point of intersection of the two arcs above and below the line l as the points D and EJoin points D and E with the a line to form the line DE drawn with a straightedge and extend DE line such that it passes through point PMark the point of intersection of the line DE and line l as the point F on the line lPlace the compass at the point F, and with a radius FP, draw an arc to intersect the line DE on the other side of the line lMark the point of intersection of the line DE by the arc of radius FP as the point sThe constructed point s above is the required point and points P and s are located on opposite sides of the line l
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A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find
the length and width of the rectangle.
Answer:
14
Step-by-step explanation:
Perimeter = 2 x length + 2 x width = 2L + 2w
Width is 4 cm less than the length, so w = L-4
36 = 2L + 2(L-4)
36 = 2L + 2L - 8
36 = 4L - 8
44 = 4L
L = 11
w = 7
2(11) + 2(7) = 22 + 14 = 36
Length is 11, width is 7
write the equation (y=kx)
= kx. where k is the constant of variation. Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3.
Simply so, which graph represents an equation in the form y KX?
Slope of y = kx Theorem The graph of the direct-variation function with equation y = kx has constant slope k. Now solve this system of equations for k. So by the definition of slope, k is the slope of the line through these points. Thus, k is the slope of the line with equation y = kx.
Also, which statement is always true about the graph of an equation in the form y KX Y KX? The equation y = kx is a proportional graph. It means that you multiply x by a number and you have k. The point (0, 0) will always be on the graph, because no matter what K is, if you are multiplying by 0 for x, you will get 0 for y.
Secondly, what is Y KX called?
In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation. In this function, m (or k) is called the constant of proportionality or the constant of variation.
What is direct variation?
Direct Variation. Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).
The football team had a fundraiser. They received $1588.50 from the sale of 110 shirts and hats. Shirts sold for $14.95 each. Hats sold for $12.95 each. How many hats
did they sell? please show steps on how to solve.
How many 11/5 foot pieces can be cut from the 20 foot piece
Given (x – 7)2 = 36, select the values of x.
---x = 13
---x = 1
x = –29
x = 42
Given (x – 1)2 = 50, select the values of x.
x = –49
x = 51
---x=1+5 root 2
---x=1-5 root 2
For this first one it's:
A. ---x = 13
B. ---x = 1
Second one:
C. ---x=1+5 root 2
D. ---x=1-5 root 2
PLSSS CN SOMEONE HELP PLSSSS
Answer:
36 percent
Step-by-step explanation:
Write an equation to find the nth term for: 7,13,19,25…
Answer:
[tex]a_{n} = a_{1} + d(n - 1) \\ d = 6 \\ a_{n} = 7 + 6(n - 1)[/tex]
Given that
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answer:
x = 4
Step-by-step explanation:
If we plug y in, the equation becomes
6x - 5(2) = 14
6x - 10 =14
6x = 24
x = 4
Helpppppp!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A converse to a statement is switching the IF part with the THEN part.
Since the statement says IF point B bisects the line, THEN B is the midpoint.
The converse would then say
IF B is the midpoint, THEN point B bisects the line.
Place the decimal point in the quotient to make the division sentence true 8.94 : 0.016 = 55875
PLEASE I NEED HELP BAD​
Answer:
558.75
Step-by-step explanation:
Which statement best explains whether △JKL is congruent to △MNP?
Answer:
D.
Step-by-step explanation:
The triangles are congruent, and the correct answer is D.
D. △JKL is congruent to △MNP because △JKL can be mapped to △MNP by a rotation of 180° about the origin followed by a translation 2 units up.
Rotation of triangle JKL by [tex]180^{o}[/tex] will result in the triangle with corresponding vertices of (2, 4), (3, 2) and (-1, 2).
so translating the resulting triangle two units up will result in the triangle with corresponding vertices (4, -2), (2, -3) and (2, 1) which is the same triangle like the given triangle MNP.
Which best explains why the figures are congruent?The figures is congruent because the 270° rotation about the origin or then the reflection over the x-axis would mapped ΔABC into ΔLMN.
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given a∥b and m∠ 8=121° . What is m∠ 5 ?
Answer:
75.625
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
Find the value of x with all work, parallel lines and transversal lines
Answer: no idea
Step-by-step explanation:
Find the measure of the indicated angle.
Answer: 88
Step-by-step explanation: angle B and C are equal. equation would be 46+46+X=180
What are the things circled called? You can answer the question fully too if you’d like. I really need help in understanding this.
Which of these is a line segment? PLS HELP
Examine the following table of points, which are all on a certain line.
x y
−2 4
0 2
1 1
3 −1
Answer: I don't see a question, but the equation of the line that these points form is y = -x + 2
Step-by-step explanation:
y=-x+2
The points have a negative 1 as their slope. The y-intercept (the value of y when x=0) is 2
y = -x+2
find the output (y) of the function y = - 4/15 x + 24 if the input is 120. x = ________
Answer:
Step-by-step explanation:
i don't care