Answers
the total cost to fill up half of the tank will be $20.25.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
For 500 miles the car consumes 60 gallons of gas.
The capacity of the tank is 13.5 gallons.
Filling up half of the tank will require 6.75 gallons of gas.
The cost of a gallon of gas is $3.
So the total cost will be 6.75*3 = $20.25
Hence, the total cost to fill up half of the tank will be $20.25.
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Related Questions
Ernie has another account at the bank that pays 2½% simple interest. How
much interest will he earn in 8 years on an initial deposit of $250?
Answers
Answer:
$50
Step-by-step explanation:
To find the amount of interest earned in 8 years, we can use the formula:
interest = principal * rate * time
where "principal" is the initial deposit, "rate" is the interest rate, and "time" is the number of years the interest is compounded.
Plugging in the values from the problem, we get:
interest = $250 * 2.5% * 8 years
interest = $250 * 0.025 * 8
interest = $50
So Ernie will earn $50 in interest in 8 years on his initial deposit of $250.
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what is the domain and range of y= square root of x-7-1
Answers
For the function: y = √(x - 7) - 1
The domain is D: [7, ∞) and the range is R: [1, ∞)
How to find the domain and range of the function?
Remember that the for a function y = f(x), the domain is the set of the possible inputs (possible values of x) while the range is the set of the possible outputs (possible values of y).
Here we want to find the domain and range of the function:
y = √(x - 7) - 1
First, we will find the domain, remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:
x - 7 = 0
x = 7
The domain is:
D: [7, ∞)
The square root is an increasing function, then the minimum of the range is given by evaluating the function in the minimum of the domain:
f(7) = √(7 - 7) - 1
f(7) = 1
Then the range is:
R: [1, ∞)
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What is the next number of the sequence 0.99, 9.9, 99, 990, 9900 ____
Answers
Answer:
99000
Step-by-step explanation:
it can be seen that in the sequence every next value differs by a decimal place through moving the decimal or adding zeros towards the right. In other words, every term is multiplied by 10 to get the next comsecutive term. Therefore, if we put another zero in the end of 9900 or multiplu it by 10 we get 99000 which is our answer.
0.99, 9.9, 99, 990, 9900, 99000.
hope that helps...
[(-5) - {4^2- (-5) }] • (4 - 3)
the answer is -26
please show me how to get that answer?
Answers
The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numerical expression is given below.
⇒ [(-5) - {4²- (-5) }] · (4 - 3)
Simplify the expression, then we have
⇒ [(-5) - {4²- (-5) }] · (4 - 3)
⇒ [(-5) - {16 + 5}] · (1)
⇒ [(-5) - 21]
⇒ - 26
The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.
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6-2x=3 please help me
Answers
Answer:
x = 3/2
Step-by-step explanation:
6 - 2x = 3
-2x = -3
x = 3/2
I hope this helps!
Write the expanded form in the condensed form
3f+3f+3f+3f=
43f
Answers
The expanded form 3f + 3f + 3f + 3f is written in condensed form to give
12f
How to write in condensed formTo write in condensed form the concept of distributive laws of multiplication is applied
This is achieved as follows
3f + 3f + 3f + 3f
applying distributive law of multiplication we have
= (3f + 3f) + (3f + 3f)
= 2 * ( 3f ) + 2 * ( 3f )
= 4 * ( 3f )
= 12f
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1 inch is to 9 miles as ? inches is to 81 miles.
Answers
Hope this helps.
If a success is defined as getting a 6 on a six-sided die, what is P( x < 4) if the dice is rolled 20 times
Answers
The probability of rolling a number less than 4 on a six-sided die, when rolled 20 times, is 0.5.
What is probability?Probability is the mathematical study of outcomes in uncertain situations. It is used to describe the likelihood of an event occurring, and it can be expressed as a number between 0 and 1. Probability is used to quantify the uncertainty associated with any given event. It helps us understand how likely it is that something will happen, and it can be used to make predictions about future events. Probability theory is a cornerstone of modern statistics and is widely used in fields such as finance, economics, and science.
This is because there are four possible outcomes when rolling a six-sided die, and two of those outcomes are numbers less than 4: 1 and 2. The probability of rolling a number less than 4 is therefore 2/4, or 0.5. This probability holds true regardless of how many times the die is rolled, as long as it is a fair and unbiased die.
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Match the term with its definition.
Identical, equal or the same.
A property of having two
equal length sides.
Lines that never intersect.
add to 180°
To divide or split into two equal parts.
Lines or segments that
intersect at 90°
add to 90°
1. Bisect
2. Perpendicular
3. Supplementary
4. Isosceles
5. Complimentary
6. Parallel
7. Congruent
Answers
4.): Isosceles ————> “A property of having two equal side length.”
6.): Parallel ————> “Lines that never intersect.”
3.): Supplementary ————> “add to 180”
1.): Bisect ————> To divide or split into two equal parts
2.): Perpendicular ————> “Lines or segments that intersect at 90°”
5.): Complimentary ————> add to 90°
Q.4. Which of the following substances cannot pass through the cell membranes by simple diffusion? a) Glucose b) Oxygen c) Carbon dioxide d) Water
Answers
Answer:
The substance that cannot pass through the cell membranes by simple diffusion is d) Water.
Step-by-step explanation:
Simple diffusion is a type of passive transport that allows substances to move from an area of higher concentration to an area of lower concentration. Small, uncharged molecules, such as oxygen, carbon dioxide, and glucose, can pass through the cell membranes by simple diffusion because they are small enough to fit through the pores in the membrane.
Water, on the other hand, is too large to pass through the pores in the cell membrane by simple diffusion. Instead, it must pass through the membrane by other means, such as osmosis or facilitated diffusion.
Therefore, the substance that cannot pass through the cell membranes by simple diffusion is d) Water.
Hope This Helps:)
I need help solving this
Answers
Answer:
C. {15, 16, 17, 18, ..., 165}
Step-by-step explanation:
Natural numbers are a set of numbers that occurs commonly and obviously in nature.
As such, it is a whole, non-negative number.
The set is denoted with letter N, starts from "0" and continues to the infinity.
The natural numbers between 14 and 166 would start with 15 and goes on until 165 so, the option C is the correct answer.
Write these numbers in order of size. Start with the smallest number. 3.7 5.62 0.7 14.3
Answers
Answer: 0.7, 3.7, 5.62 and 14.3.
Step-by-step explanation: Write all numbers in ascending order.
Last weekend, the movie theater in Wildgrove issued 8,060 tickets to comedies. This weekend, it issued 15,314 tickets to comedies. What is the percent of increase in the number of comedy ticket issued per weekend?
Answers
The percent increase in the number of comedy tickets issued per weekend, given the number of tickets issued, can be found to be 90 %
How to find the percentage increase ?To find the percentage increase, you need to find out the increase in the number of tickets issued between last weekend and this weekend. This difference would then be found as a percentage of the number of tickets sold last weekend.
The increase in tickets sold for comedies is therefore:
= This weekend tickets - Last weekend tickets
= 15, 314 - 8, 060
= 7, 254 tickets
The percentage increase is:
= Increase in tickets sold / Total tickets sold last weekend x 100 %
= 7, 254 / 8, 060 x 100 %
= 0. 90 x 100 %
= 90 %
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Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
Answers
The equation that is not equivalent to p – 7 = 22 will be:
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario
It should be noted that p – 7 + 22 = 22 – 7, p – 7 + 7 = 22 – 22 and p – 7 + 7 = 22 + 7 don't give the original equation. Therefore, the answers are C D and E.
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how do i solve 3x+2y=10, 3x-y=4 in substitution? please help i will mark you brainliest
Answers
Step-by-step explanation: you times 3 by 2, which equals 6. And then you times 2 by 2 which gives you 4, and then you get 10. For the second one you do 3 times 2 which is 6 minus 2 ad it's 4.
sorry if it's wrong, st my school we do things very different that lots of other schools.
Answer:
i believe the answer is 2,2
Step-by-step explanation:
slove for the variable in one of the equations, I usually do the bottom but don't think it matters. Then add the final product back into the top one to get the final answer.
Sam filled her 5 gallon jug with water how many times could she fill her 2 quart canteen with water from the jug?
Answers
Answer:
There are 128 fluid ounces in a gallon, so the 5 gallon jug contains 128 * 5 = 640 fluid ounces of water. There are 32 fluid ounces in a quart, so the 2 quart canteen contains 2 * 32 = 64 fluid ounces of water. That means Sam can fill her canteen with water from the jug 640 / 64 = 10 times.Step-by-step explanation:
.Step-by-step explanation:
Which of the following is NOT divisible by 2?
A. 300
B. 221
C. 24
D. 8
Answers
Answer:
Step-by-step explanation:
b.221
as in 221 has no even digit in ones place.
Answer: The answer is option B (221).
Step-by-step explanation: As we know that ,
for a number to be divisible by 2 ,
the last digit of the number must ends with
the digits 2 ,4 , 6 , 8 , 0 .
And from the following option ,
In option A , 300 ends with 0 hence divisible by 2 .
In option C , 24 ends with 4 hence divisible by 2 .
In option D , 8 that is clearly divisible by 2.
Only in option B , 221 ends with 1 , hence not divisible by 2.
16^2x-5 > 64 ^2x-3 solve for x Exponential equation and inequalities
Answers
Solving for x in the exponential equation and inequalities gives the value of
x < -1/2How to find the value of xpower or exponents as used in mathematics are number written on top of a base number. The power says how many times the base number multiplies itself.
For the given problem,
16²ˣ ⁻ ⁵ > 64 ²ˣ ⁺ ³
finding a common base
4²⁽²ˣ ⁻ ⁵⁾ > 4³⁽²ˣ ⁺ ³⁾
equating the bases
2(2x - 5) > 3(2x - 3)
4x - 10 > 6x - 9
4x - 6x > 10 - 9
-2x > 1
x < -1/2
the value of x in the inequality is -1/2
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Check the image for questions!
Will give 50 points!
Answers
What is the equation of line?
A line can be represented by the slope-intercept form of the equation y = mx + b, where "m" is the slope of the line and "b" is the y-intercept. The slope of the line tells us how steep the line is and the direction it is going (positive or negative slope) and the y-intercept is the point at which the line crosses the y-axis.
1. y = 1.5x + 0, a parallel line would have the same slope (1.5) but a different y-intercept, such as y = 1.5x + 5
2. y = -3.7x - 1, a parallel line would have the same slope (-3.7) but a different y-intercept, such as y = -3.7x - 10
3. y = -0.5x, a parallel line would have the same slope (-0.5) but a different y-intercept, such as y = -0.5x + 10
4. y = -5 -4.2x, a parallel line would have the same slope (-4.2) but a different y-intercept, such as y = -4.2x + 10
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round 6.07 x 3.29 to the nearset whole.number
Answers
Answer:
20
Step-by-step explanation:
6.07 *3.29=19.9703
since rhe number after decimal is greater than 5
so we can add 1 to the real number
that's why whole number is 19+1=20
5x + 3y = 134
x+y = 32
Answers
Answer:
(19,13)
x = 19
y = 13
Step-by-step explanation:
5x + 3y = 134
x + y = 32 ⇒ multiply through by -3 -3x -3y = -96 add this to the first equation
5x + 3y = 134
-3x -3y = -96
2x = 38 Divide both sides by 2
x = 19
Substitute 19 for x
x+ y = 32
19 + y = 32
y = 13
(19,13)
X = 19
y = 13
A florist wants to determine if a new additive would
Using this dotplot and the difference in proportions
help extend the life of cut flowers longer than the
from the samples, is there convincing evidence that
original additive. The florist randomly selects 20
the new additive was more effective?
carnations and randomly assigns 10 to the new
additive and 10 to the original additive. After three
O Yes, because a difference in proportions of 0.2 or
weeks, 5 carnations placed in the new additive still
more occurred 41 out of 200 times, meaning the
looked healthy, and 3 carnations placed in the original
difference is statistically significant and the new
additive still looked healthy. The difference in
additive is more effective.
proportions (new - original) for the carnations that still
Yes, because a difference in proportions of 0.2
or
looked healthy after three weeks was 0.2. Assuming
less occurred 159 out of 200 times, meaning the
there is no difference in the additives, 200 simulated
difference is statistically significant and the new
differences in sample proportions are displayed in the
additive is more effective
dotplot
© No, because a difference in proportions of 0.2 or
Simulation for Difference in
more occurred 41 out of 200 times, meaning the
Proportions of Carnation Health
difference is not statistically significant and the new
additive is not more effective
No. because a difference in proportions of 0.2 OI
less occurred 159 out of 200 times, meaning the
Mark this a
Save and Exit
Next
Submit
Answers
It was more effective because a difference in proportions of 0.2 looked healthy after three weeks was 0.2.
What is a dot plot?A dot plot is a graph that displays individual data points as dots (markers) on a number line, showing the distribution of a dataset. It is similar to a histogram but is used when the data set has many unique values or when the data is not continuous.
In this case, we are told that a florist wants to determine if a new additive would help extend the life of cut flowers longer than the from the sample.
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The assignment is below.
Answers
The solution of the rule is;
when y = 2, x = -4/3
when x = 8/3, y = 10/3
when x = 22/3, y = 24/3
What is a Fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Using the rule [tex]y = x + \frac{2}{3}[/tex]
when y = 2
2 = x + 2/3
Multiplying both sides by 3
6 = 3x + 2
3x = 2 - 6
3x = -4
x = -4/3
when x = 8/3
y = 8/3 + 2/3
y = 10/3
when x = 22/3
y = 22/3 + 2/3
y = 24/3
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A broken rectangular window needs to be replaced. It measures 24 1/2 inches by 9 1/2 inches. How much glass is needed, in square inches, to replace the window?
Answers
The window measures 24 1/2 inches by 9 1/2 inches, so the area of the window is 24.5*9.5 = 230.25 square inches. Therefore, 230.25 square inches of glass are needed to replace the window
Graph the line that represents a proportional relationship between d and t with the property that an increase of 6 units in t corresponds to an increase of 7 units in d
What is the unit rate of change of d with respect to t (That is, a change of 1 unit in t will correspond to a change of how many units in d?)
Answers
The graph of the line of the proportional relationship is added as an attachment
The unit rate is 7/6
How to graph the line of the proportional relationshipFrom the question, we have the following parameters that can be used in our computation:
An increase of 6 units in t This corresponds to an increase of 7 units in dThis means that
d : t = 7 : 6
Express as fraction
So, we have
d/t = 7/6
Multiply both sides by t
d = 7t/6
So, the equation is d = 7t/6
This also means that the unit rate is 7/6
See attachment for the graph
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Find the value of x in the following equation:
2.4(4x + 5) = 9.6x + 12
x = 0
x = 1.3
No solution
Infinite solutions
Answers
Answer:
Infinite solutions
Step-by-step explanation:
Answer:
Infinite solutions
Step-by-step explanation:
2.4 (4x + 5) = 9.6x + 12
9.6x + 12 = 9.6x + 12
0 = 0
For the figure below, give the following.
(a) one pair of vertical angles
(b) one pair of angles that form a linear pair
(c) one pair of angles that are supplementary
Answers
One pair of vertical angles are ∠2 and ∠4.
One pair angles that form a linear pair angles are ∠2 and ∠3.
One pair of angles that are supplementary are ∠1 and ∠4.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Vertical angles:
∠2 and ∠4
∠1 and ∠3
∠6 and ∠8
∠5 and ∠7
Linear pair:
This means two angles that make 180 degrees.
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Supplementary angles:
This means two angles give us 180 degrees.
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Thus,
Vertical angles are ∠2 and ∠4.
Linear pair angles are ∠2 and ∠3.
The pair of supplementary angles are ∠1 and ∠4.
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On a piece of paper, use a protractor to construct a triangle with angle measures of 60 degrees and 80 degrees. Select from the drop-down menu to correctly classify the triangle. A triangle with angle measures of 60 degrees and 80 degrees Is triangle.
Answers
Answer:80 pieces
Step-by-step explanation:
Newton pays for 5 pounds of pears thy cost $3.75 per pound. Descartes pays $15 for 5 pounds of apples. About how much more do the 5 pounds of pears cost than the 5 pounds of apples?
Answers
Answer:$3.75
Step-by-step explanation:
you first multiply 3.75 and 5 and you get 18.75 then you subtract 18.75 by 15 since he paid 15 for the apples so after subtracting you get $3.75
Match the pairs of equivalent expressions. ( - 14 + 3 2 b ) − ( 1 + 8 2 b ) 4 b + 13 2 ( 5 + 2 b ) + ( 2 b + 3 2 ) 8 b − 15 ( 7 2 b − 3 ) − ( 8 + 6 b ) - 5 2 b − 11 ( - 10 + b ) + ( 7 b − 5 )
Answers
The pairs of equivalent expressions are matched as follows:
(-14 + 3b/2) - (1 + 8/2b) and -15 - 5b/2.(5 + 2b) + (2b + 3/2) and 4b + 13/2.(7b/2 - 3) - (8 + 6b) and -5b/2 - 11.(-10 + b) + (7b - 5) and 8b - 15.What are equivalent expressions?Equivalent expressions are expressions that are equal when both are simplified.
For the first expression, we have that:
(-14 + 3b/2) - (1 + 8/2b)
-14 + 3b/2 - 1 - 8/2b
Combining the like terms:
-15 - 5b/2.
For the second expression, we have that:
(5 + 2b) + (2b + 3/2)
5 + 2b + 2b + 3/2
10/2 + 4b + 3/2
4b + 13/2.
For the third expression, we have that:
(7b/2 - 3) - (8 + 6b)
7b/2 - 3 - 8 - 6b
7b/2 - 11 - 12b/2
-5b/2 - 11.
For the fourth expression, we have that:
(-10 + b) + (7b - 5)
-10 + b + 8b - 5
8b - 15.
Missing InformationThe problem is given by the image shown at the end of the answer.
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