20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of gas. In Chicago, a gallon of self-serve regular gasoline cost $1.76 in May and $2.13 in June. Write an equation that could be used to determine the cost of gasoline during any month in 2000. (Hint: use 1 to represent January.)
A) y = .37x + 5
B) y = .37x + 1.76
C) y = .37x + 2.13
D) y = .37x - .09
Answers
y = a + b*x
where
x = months, counted from January
y = cost, dollars
The given data in the table is
Month: Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
x, months: 1 2 3 4 5 6 7 8 9 10 11 12
y, dollars: --- --- --- --- 1.76 2.13 --- --- --- --- --- ---
When x = 5, y = 1.76.
Therefore
a + 5b = 1.76 (1)
When x = 6, y = 2.13
Therefore
a + 6b = 2.13 (2)
Subtract equation (1) from (2).
a + 6b - (a + 5b) = 2.13 - 1.76
b = 0.37
From (1), obtain
a = 1.76 - 5b
= 1.76 - 5*0.37
= -0.09
The required equation is
y = 0.37x - 0.09
The graph shows the line, with the given data for May and June.
Answer: D. y = 0.37x - 0.09
Related Questions
Can someone pleasee match these for me ASAP?? I need them rn and u get 27 pts! The first second and fourth on the ones with operations are multiplication. The fifth is subtraction. If u could do the questions as a thru f and g and the answers as 1 thru 6 and 7 and tell me the order that'd be great, thanks!
Answers
______________________________________
Question a): ANSWER: 1 ; √(28a⁴b³c) = 2a²b √(7bc) ;
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Question b): ANSWER: 6 ; √(98a⁴b³c) = 7a²b √(2bc) ;
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Question c): ANSWER: 3 ; √(56a³b⁴c²) = 2ab²c √(14a) ;
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Question d): ANSWER: 5 ; √(48a⁵b⁶c³) = 4a²b³c √(3ac) ;
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Question e): ANSWER: 2 ; √(24a⁵b⁴c²) = 2a²b²c √(6a) ;_____________________________________________________
Question f): ANSWER: 4 ; √(54a⁶b⁵c²) = 3a³b²c √(6b) .
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Select a counter-example that makes the conclusion false.
7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1
Conclusion: the difference of two positive numbers is always positive.
Counterexample:
Answers
HOPE I HELP!!!!!!!!!!!!
Answer:
2 - 7 = -5Step-by-step explanation:
This means that two positive numbers have given a difference of -5, so the conclusion above can not be true. In fact, subtracting a larger number from a smaller number will always give a negative result, so this conclusion isn't even true in most cases.
I'm always happy to help :)Given a right cone with base area b and height h, what is the formula for the volume?
Answers
Hope this helps
V = πr^2(h/3)
V: Volume
r: radius
h: height
πr^2 = base area of a cone
Answer
The formula for the volume in terms of base area b and height h is: V = b(h/3)
In the figure, line m || line n. Find the measure of <7
Answers
Angles 1, 3, 5, 7 measure 117 deg.
50 POINTS + BRAINLIEST
Answers
2y = -x + 6
y = -1/2 x + 3 so slope = -1/2
parallel lines has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2
if slope not equal either -1/2 or 2 then neither.
y = -1/2 x - 5 ....m= - 1/2.... parallel
-2x + y = -4
y = 2x - 4...m = 2 ....perpendicular
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither
x + 2y = -2
2y = -x - 2
y = -1/2 x - 1 ...m = -1/2 .....parallel
hope it helps
Answer:x + 2y = 6
2y = -x + 6
y = -1/2 x + 3 so slope = -1/2
parallel lines has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2
if slope not equal either -1/2 or 2 then neither.
y = -1/2 x - 5 ....m= - 1/2.... parallel
-2x + y = -4
y = 2x - 4...m = 2 ....perpendicular
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither
x + 2y = -2
2y = -x - 2
y = -1/2 x - 1 ...m = -1/2 .....parallel
If AB = 18 and AC = 3x +6 then x=
Answers
set AB=AC
18=3x+6
minus 6 on both sides
12=3x
divide both sides by 3
x=4
What’s the rule for the translation (x,y) (x+3,y+7)
Answers
For the y value, if you are adding a number to the y coordinate, you are moving it up, whereas when you subtract a number, you are moving it down that amount.
Find the midpoint of the segment with the given endpoints. m(–2, 1) and n(–3, 2)
Answers
The sum of two numbers is 39 . the larger number is 17 more than the smaller number. what are the numbers?
Answers
Larger Number = S + 17
Smaller Number = S
S + 17 + S = 39
2S + 17 = 39
2S = 39 - 17
2S = 22
S = 22/2
S = 11
Larger Number is S + 17
Larger Number is 11 + 17
Larger Number is 28
Smaller Number is 11
The smaller number is 11 and the larger number is 28.
Explanation:Let's assume the smaller number is 'x'.
The larger number is 17 more than the smaller number, so the larger number can be represented as 'x + 17'.
The sum of the two numbers is 39, so we can set up the equation: x + (x + 17) = 39.
By simplifying the equation, we get 2x + 17 = 39.
Subtracting 17 from both sides gives us 2x = 22.
Dividing both sides by 2 gives us x = 11.
So, the smaller number is 11 and the larger number is 11 + 17 = 28.
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What is the answer?
Answers
This come from x = -5
Move over -5 into the other side to make the equation equal to zero
x + 5 = 0
Answer: x + 5
Use geometry to evaluate (see attached) (calculus) the integral from 0 to 6 of the function f of x, dx for f of x equals 3 for x less than or equal to 3 and equals the quantity 6 minus x for x greater than 3.
27
13.5
12
10.5
Answers
notice the area is just a 3x3 square and a triangle with a base of 3 and a height of 3, simply get the area of both, add them up, and that's the area of the piece-wise on that range.
Answer:
13.5
Step-by-step explanation:
The geometric representation of an integral is the area below the curve. So, let's graphic the function.
[tex]f(x) = 3[/tex] is an horizontal line, (y = 3)
and [tex]f(x) = 6-x[/tex] is also a line, but it is decreasing.
We can see in the image that the area below the curve happens to be a polygon. In order to calculate the area we are going to separate it into simpler polygons: a square and a triangle.
The area of the square is [tex]3*3 = 9[/tex].
The area of the triangle is [tex]\frac{3*3}{2} = \frac{9}{2} = 4.5[/tex]
If we add them, we get
[tex]\int_0^6 f(x) dx =9 + 4.5 = 13.5[/tex]
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality 7.2b + 6.5 > 4.8b – 8.1. Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1. Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1. Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6. Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b. Which student’s first step was incorrect, and why? Amelia’s, because the variable term must be isolated on the left side Luis’s, because he flipped the inequality sign when he subtracted Shauna’s, because she did not apply the subtraction property of equality properly Clarence’s, because the terms he added together were not like terms
Answers
Answer: Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Which expression is equivalent to 5(8 + 9)?
Answers
=85
4.25 × 0.6 = 2.04 × 1.25
True
False
Answers
Answer:
false
Step-by-step explanation:
its not
Answer:
false
Step-by-step explanation:
4.25 x 0.6 doesn't equal 2.04 it equals 2.55
The tooth fairy brings jack $5 plus $1 for each tooth that he loses. After jack loses a few teeth, the tooth fairy decides that he is paying too much money for teeth. He is gives jack $5 plus $0.50 for each tooth lost. Which graph shows the new function?
Answers
Answer:
The new function is [tex]y=0.5x+5[/tex] and its graph is shown below.
Step-by-step explanation:
Let the number of tooth = x and the cost of teeth = y (in dollars).
Tooth fairy charges $1 for each tooth with extra charge of $5.
So, the cost of the teeth is [tex]y=x+5[/tex].
Now, the tooth fairy charges $0.5 for each tooth with extra charge of $5.
Thus, the new cost of the teeth is given by.
[tex]y=0.5x+5[/tex]
So, the new function is [tex]y=0.5x+5[/tex] and its graph is shown below.
5.50
i think thats the anserw
The volume of a cube with sides of length s is given by v = s3. find the rate of change of the volume with respect to s when s = 3 centimeters.
Answers
Final answer:
The rate of change of the volume of a cube with respect to its side length s, when s = 3 cm, is 27 cubic centimeters per centimeter.
Explanation:
The volume V of a cube with sides of length s is given by V = s³. To find the rate of change of the volume with respect to s when s = 3 cm, we need to differentiate the volume function V(s) with respect to s. The derivative of V with respect to s is [tex]\frac{dV}{ds}[/tex] = 3s². When s = 3 cm, [tex]\frac{dV}{ds}[/tex] = 3(3)² = 3(9) = 27. The rate of change of the volume when s = 3 cm is 27 cubic centimeters per centimeter.
Claire has received scores of 85,82, and 75 on her algebra tests. what score must she receive on the fourth test to have an overall test score average of at least 82
Answers
85 + 82 + 75 + 86 = 328
328 divide by 4 (as there are four tests) = 82
Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam today, how many days will pass before he bikes and swims on the same day again, the least common multiple of the numbers of days? Multiples of 2: 2, 4, 6, 8, 10, 12, . . . Multiples of 3: 3, 6, 9, 12, 15, 18, . . .
Answers:
1. 2 days
2. 3 days
3. 6 days
4. 12 days
Answers
Have a wonderful day.
At the market 8 batteries cost $10. How much will 6 batteries cost.
Answers
10÷8=1.25
6*1.25=7.50
So for 6 batteries it should be $7.50
hope this helps!
Which unit fraction should be used to convert 15 inches to centimeters?
Answers
To convert from inches to centimeters, the unit fraction used is 2.54 cm/1 in. Therefore, 15 inches is equal to 38.1 centimeters.
Explanation:To convert a measurement from inches to centimeters, we utilize a unit conversion factor. In this instance, the unit conversion factor we're interested in relates inches to centimeters. One inch is equivalent to 2.54 centimeters. Hence, the unit fraction used for such conversion is 2.54 cm/1 in.
To determine the equivalent value in centimeters for 15 inches, we multiply the number of inches (15) by our unit conversion factor (2.54 cm/1 in). This gives us the following
15 inches * 2.54 cm/1 in = 38.1 cm.
So, 15 inches is equivalent to 38.1 centimeters when converted.
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a jewelry store is having a 10% off regular price sale. find the discount and the sale price of a ring normally priced at $1170
the discount is $[]
the sale price is $[]
Answers
So your discount price would be $1,000
Hope this helps
A bag contains purple and orange marbles. Sam randomly takes out one marble and then returns it to the bag. He does this 18 times, and 12 of those times an orange marble is pulled out. What is P(green)?
Answers
ASAP PLEASE!!! Start with the following conditional statement: If it is October 31, then it is Halloween.
a. State the converse of the statement.
b. State the inverse of the statement.
c. State the contrapositive of the statement.
Answers
i) The converse of the statement is q⇒p.
ii). The inverse of the statement is ¬p⇒¬q.
iii). The contrapositive of the statement is ¬q⇒¬p.
Let p: it is October 31, and let q: it is Halloween.
The converse of the conditional p⇒q is q⇒p:
If it is Halloween, then it is October 31.
The inverse is ¬p⇒¬q:
If it is not October 31, then it is not Halloween.
The contrapositive ¬q⇒¬p is:
If it is not Halloween, then it is not October 31.
Which operation flips the graph of a function over the x-axis?
A. Multiplying the function by –1
B. Multiplying the function by 1
C. Subtracting 1 from the function
Answers
A. multiplying the function by -1
Multiplying the function by –1 is the operation flips the graph of a function over the x-axis
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The operation that flips the graph of a function over the x-axis is multiplying the function by -1.
When a function is multiplied by -1, the y-values are negated, which causes the graph to reflect over the x-axis.
if we have a function f(x) = x², the graph will be a parabola that opens upwards.
However, if we multiply this function by -1 to get -f(x) = -x², the graph will be the same parabola reflected over the x-axis and opening downwards.
Hence, Multiplying the function by –1 is the operation flips the graph of a function over the x-axis
To learn more on Graph click:
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A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
Answers
i am not sure what to substitite for a or w
Sorry but hopes this gives a hint
On the first day of summer a rainstorm brought 2.29 inches of rain to the area. During the rest of the summer there was 3 times as much rain as on the first day. What was the total number of inches of rainfall for the summer?
Answers
To solve this problem, we simply have to multiply the original inches of rain to that of how many times it was for the rest of summer. So in this case, simply multiply 2.29 by 3, that is:
2.29 inches * 3 = 6.87 inches
Answer:
6.87 inches
Divide.
(5 1/4)÷(−2 1/2)
Enter your answer as a mixed number, in simplified form, in the box. Please Explain your answer.
Answers
To divide (5 1/4)÷(−2 1/2), convert the mixed numbers into improper fractions and then multiply by the reciprocal of the divisor. Simplify the result to get the quotient as -2 1/10.
Explanation:To divide the given mixed numbers, (5 1/4)÷(−2 1/2), we first convert them into improper fractions.
5 1/4 can be written as (4*5 + 1)/4 = 21/4.
(−2 1/2) can be written as (-2*2 + 1)/2 = -5/2.
Now, we can divide the fractions by multiplying the reciprocal of the divisor: (21/4) * (-2/5) = (-21/4) * (2/5) = -21/10.
Finally, we simplify the result by dividing both the numerator and the denominator by their greatest common factor, which is 1. The simplified result is -21/10, which can be written as -2 1/10 as a mixed number.
The reference angle for an angle whose measure is 260° is
Answers
So your answer is 80 degrees.
Hope this helps,
Brian
Answer:
80 degrees
Step-by-step explanation:
What's green and fluffy and comes from outer space?
Answers
how many solutions does
25-x=15-(3x+10)
Answers
25-x=15-3x-10
25-x=15-10-3x
25-x=5-3x
25-5-x=5-5-3x
20-x=-3x
20-x+x=-3x+x
20=-2x
20/-2=-2/-2x
-10=x
Only one solution for this equation.