Chris's purchases before tax were $7.37.
Define coefficientsIn mathematics, coefficients refer to the numerical factors of the terms of a polynomial, or any expression consisting of variables and constants multiplied together. The coefficients can also be interpreted as the amount by which the response variable changes for every unit increase in the predictor variable .
The expression for Chris's purchases is:
4b + 2c + 2.05
The coefficients are 4 and 2, the constant is 2.05, and there are no like terms.
To find Chris's purchases before tax, we can substitute the given values for b and c into the expression and simplify:
4(.99) + 2(.68) + 2.05 = 7.37
Therefore, Chris's purchases before tax were $7.37.
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a machine can produce 6 yards of fabric in 2 minutes how much fabric can the machine produce in 2 hours?
Answer:
360 yards in 2 hours
Step-by-step explanation:
6 yards in 2 minutes = 3 yards in 1 minute
2 hours = 120 minutes
3*120
360 yards
What percent of 75 is 21?
 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
please help me so love this problem?
Answer:
12.7 ==> distance of RS
24.2 ==> distance of RT
Step-by-step explanation:
Distance is always positive. So if you get a negative value, take the absolute value of the negative number:
For example, between point R and S:
-17.2 - (-4.5) =
-17.2 + 4.5 = ==> subtracting a negative number is equivalent to adding a
positive number
-(17.2 - 4.5) = -12.7
-12.7 ==> |-12.7| = 12.7 ==> distance of RS
For RT:
-17.2 - 7 =
-(17.2 + 7) = -24.2
-24.2 ==> |-24.2| = 24.2 ==> distance of RT
which of these would be helpful first step in solving the equation?
ANSWER:
A. subtract 2x
E. add 6
STEP-BY-STEP EXPLANATION:
We have the following equatiion:
\(8x-6=2x+24\)In the first step it is always a question of reducing the left side the most.
Therefore, you can add 6, to make that -6 equal to 0, and you can also subtract 2x to eliminate x from the right side of the equation.
Respond Quick PLZ help me out determines if I fail
Answer:
1. infinite many solutions
2. With solution: x+y=7 ,2x+y=6
Without solution: x+y=8 ,x+y=9
Infinite solution: x+y=3, 2x+2y=6
Step-by-step explanation:
By the way, can you follow me?
Thanks!
You are choosing between two health clubs club a offers membership for a fee of $13 plus a monthly fee of $28 club B offers membership for a fee of $19 plus a monthly fee of $27 after how many months will the total cost of each health club be the same? What will be the total cost for each club?
To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.
Let's assume the number of months is represented by 'x'.
For Club A, the total cost is given by:
Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)
For Club B, the total cost is given by:
Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)
To find the number of months when the total cost is the same, we set the two equations equal to each other:
$13 + $28x = $19 + $27x
Simplifying the equation, we get:
$28x - $27x = $19 - $13
$x = 6
Therefore, after 6 months, the total cost of each health club will be the same.
To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:
Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181
Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181
So, the total cost for both Club A and Club B will be $181 after 6 months.
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A "bank run" takes place when a large number of people withdraw their money at once. How might the Federal Reserve support a bank to ensure that all of the depositors would get their money back if there were a bank run?
a By directly paying back the depositors
b By raising the prime interest rate
c By lending money to the bank
d By issuing government bonds
ill mark brainiest if right!!!!! QUIck Help me
In order to ensure that depositors would get their money back in the event of a bank run, the Federal Reserve can support the bank by lending money to the bank. Option C
Answer to the aforementioned questionWhen a bank faces a bank run and experiences a sudden and significant increase in withdrawals, it may face a liquidity crisis, meaning it may not have enough cash on hand to meet the withdrawal demands of depositors.
To address this, the Federal Reserve can step in and provide loans or emergency funding to the bank to help it meet its obligations to depositors. This lending can help stabilize the bank's liquidity position and ensure that depositors are able to access their funds.
It is important to note that this support from the Federal Reserve is typically done on a temporary basis and is intended to help address the immediate liquidity needs of the bank during a crisis
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A calf raiser mixes a batch of milk replacer for 15 calves. Each calf gets two
quarts of milk replacer. If the calf raiser uses 960 oz. of replacer and needs to
add 34 as much water as milk replacer, how many ounces of water does she need?
Answer:
The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.
To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)
64 oz / 32 oz/quart = 2 quarts
Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer
So the total amount of water she needs is 2*34 = 68 quarts
To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)
68 quarts * 32 oz/quart = 2176 oz of water.
So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.
bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?
Answer: If you minus it the answer is -0.488692191 rad
I think
Step-by-step explanation:
How do you find the second of an angle?
The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.
These are my opinion
Which of the following examples demonstrates heat transfer through radiation?
A.
Boiling water on a stove.
B.
IA
A heater blowing air into a room.
C.
IA
A hamburger cooking on a grill.
D.
The sun heating up a pool.
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Solve for x: -8 < 3x + 1 ≤ 13
Answer: If you’re doing algebra, -3<x or x<_4.
Another answer is -3<x<_4
Answer:
-3 < x <_4
Step-by-step explanation:
-8 < 3x+1 <_13
First solve for the left side: -8 < 3x + 1
Subtract 1 from each side
-9 < 3x
Divide each side by 3
-3 < x
Solve for the right side: 3x+1 <_13
Subtract 1 from each side
3x <_ 12
Divide each side by 3
x<_4
Put it together for your answer
-3 < x <_4
helppppppppp:)))))))))))
Answer:
bottom one
Step-by-step explanation:
9a-b-2a-10b add like terms
7a-11b
Given h ( x ) = − 3 x + 2 , solve for x when h ( x ) = − 4.
Answer:
2 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
2
h(2) = -4
Step-by-step explanation:
h(x)= -3x + 2
h(x) = -4
-3x + 2 = -4
-3x = -4 -2
-3x = -6
x = -6/-3
x = 2
Suppose that Cand D are points on the number line. If CD=11 and D lies at 6, where could C be located?separate them with commas.
what
help
Answer:
Step-by-step explanation:
There can only be 2 location which is to the right and to the left, this is because it means the difference between is 17. Add them together. So the two answers are…
17
and
-17
The graph of linear function is shown on the grid
The y-intercept of a graph y=-3.
Here, we have,
Given the graph of a function, the y-intercept is defined as the y-coordinate of the point(s) where the graph crosses the y-axis.
There might be more than one y-intercepts or even none.
The graph provided in the question is a line with a negative slope, i.e., a decreasing line.
Carefully looking it can be determined the graph touches the y-axis in the point (0,-3), thus the y-intercept of the graph is y=-3
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complete question:
The graph of the linear function is shown on the coordinate grid. * 910X -10 What is the y intercept of the graph of the linear function?
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Select the three true equations.
1000 milliliters (mL) =1 liter (L)
CLEAR CHECK
3 mL =3000 L
0.25 L =250 mL
12,000 mL =12 L
6 L =600 mL
0.75 L =75 mL
5 L 400 mL =5400 mL
Answer:
Step-by-step explanation:
0.25 L =250 mL
12,000 mL =12 L
5 L 400 mL =5400 mL
there are five geometric mean between a and b. if second and last mean are 2 and 16 respectively, find the value of a and b.
Answer:
a = 1/2, b = 32.
Step-by-step explanation:
Second = a1r and fifth = a1r^4 where r = common ratio and a1 is the first mean after a.
So 1ar^4 / a1r = r^3 = 16/2
r^3 = 8
r = 2.
So a1 = 1.
The 5 means are 1, 2, 4, 8, 16
S0 a = 1/2 = 1/2 and b = 2*16 = 32.
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The linear function y = 3 · w - 1 represents the number of sea shells found in each week.
The speed of the driven gear is 180 rounds per minute.
How to use direct and inverse relationships to analyze situations
In the first problem we have an example of linear progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the linear function y = 3 · w - 1, a kind of direct relationship.
In the second problem, we must an inverse relationship to determine the speed of the driven gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:
\(\frac{v_{1}}{v_{2}} = \frac{N_{2}}{N_{1}}\)
If we know that \(v_{2} = 60\,rpm\), \(N_{2} = 60\) and \(N_{1} = 20\), then the speed of the driven gear is:
\(v_{1} = v_{2}\times \frac{N_{2}}{N_{1}}\)
\(v_{1} = 60\,rpm \times \frac{60}{20}\)
\(v_{1} = 180\,rpm\)
The speed of the driven gear is 180 rounds per minute.
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Susan has a checking account. For each day that Susan’s checking account balance falls below zero, she is charged by the bank a fee of $5.50 per day. Her current balance in the account is –$2.50. If Susan does not make any deposits or withdrawals, what will be the new balance in her account after 3 days? Show your work.
Answer:
The balance after 3 days would be, -$19.00
Step-by-step explanation:
This is can shown by multiplying the ammount owed per day ($-5.5) times 3 and adding this to the current balance ($-2.5)
-5.5 x 3 = 16.5 and -16.5 + -2.5 = 19 so her balance would become -$19.00
Answer:
-$19.00
Step-by-step explanation:
I GO tO K-12
"AND HIS NAME IS JOHN CENA *theme song*"
A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
Answer:
There are 5 black counters in the bag.
Step-by-step explanation:
15 green counters in the bag
The proportion of green counters is given by:
\(p = 1 - (\frac{1}{3} + \frac{1}{6}) = 1 - (\frac{2}{6}+\frac{1}{6}) = 1 - \frac{3}{6} = 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}\)
So, we have that, the total is x. So
\(\frac{x}{2} = 15\)
\(x = 30\)
There are 30 total counters.
How many black counters are in the bag ?
A sixth of the counters are black. So
\(\frac{1}{6} \times 30 = \frac{30}{6} = 5\)
There are 5 black counters in the bag.
Josh decided to purchase a
jacket for his mother that costs
$200.00. After paying a 6%
sales tax, how much will Josh
pay for the gift?
Answer
$212
Step-by-step explanation:
to get this answer, you must find what 6% of 200 is, which can be calculated using this little equation here
percentage/100 x original price = sales tax
6/100 x 200= 0.06 x 200= 12
this gives you the sales tax, or the amount of money that was added onto the original price, all that's left to do is to add, so original price + sales tax
200+12= $212
Determine whether the points (–3,–2) and (3,2) are in the solution set of the system of inequalities below. y ≤ ½x + 2 y < –2x – 3
Given:
The system of inequalities:
\(y\leq \dfrac{1}{2}x+2\)
\(y<-2x-3\)
To find:
Whether the points (–3,–2) and (3,2) are in the solution set of the given system of inequalities.
Solution:
A point is in the solution set of the given system of inequalities if it satisfies both inequalities.
Check for the point (-3,-2).
\(-2\leq \dfrac{1}{2}(-3)+2\)
\(-2\leq -1.5+2\)
\(-2\leq 0.5\)
This statement is true.
\(-2<-2(-3)-3\)
\(-2<6-3\)
\(-2<3\)
This statement is also true.
Since the point (-3,-2) satisfies both inequalities, therefore (-3,-2) is in the solution set of the given system of inequalities.
Now, check for the point (3,2).
\(2<-2(3)-3\)
\(2<-6-3\)
\(2<-9\)
This statement is false because \(2>-9\).
Since the point (3,2) does not satisfy the second inequality, therefore (3,2) is not in the solution set of the given system of inequalities.
Answer: The point (–3,–2) is in the solution set, and the point (3,2) is not in the solution set.
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Simplify: –3(y + 2)2 – 5 + 6y.
Answer:
-17
Step-by-step explanation:
–3(y + 2)2 – 5 + 6y
(–3y -6)2 – 5 + 6y
-6y -12 - 5 + 6y
-17
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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Find the probability of getting 2 or 4 or 6 when a dice is rolled
Answer:
The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
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Findthe
y -intercept
oftheparabolay = x2 + 3x − 6.
Answer:
(0, -6) is the y-intercept.