Answer:
2229.08
Step-by-step explanation:
Step 1: Calculate miles travelled in one year
Miles travelled per day = 45 miles
Miles travelled in one year = 45 x 365 = 16,425 miles
Cost of gasoline per gallon = 3.8 for every 28 miles
Step 2: Divide total miles in one year by per gallon miles
16,425 ÷ 28
= 586.6 miles
Step 3: Multiply the answer by cost of gasoline
586.6 x 3.8
= 2229.08
Therefore, Aaron will spend 2229.08 on gasoline in one year.
Answer:
Aaron spend Rs.1642.4996 on gasoline in one year
Step-by-step explanation:
Aaron drive in 1 day = 45 miles
1 year = 365 days
So, Aaron drives in 365 days = [tex]45 \times 365[/tex]
= [tex]16425 miles [/tex]
We are given that his car averages 28 miles per gallons .
His car travels 28 miles in gallons = 1
His car travels 1 miles in gallons =[tex]\frac{1}{28}[/tex]
His car travels 16425 miles in gallons =[tex]\frac{1}{28} \times 16425[/tex]
=[tex]586.607[/tex]
Cost of 1 gallon = 2.80
Cost of 586.607 gallons = [tex]2.80 \times 586.607=1642.4996[/tex]
Hence Aaron spend Rs.1642.4996 on gasoline in one year
What is the simplest form of the ratio 11:16?
O A 1:6
OB. 5:8
Oc 11:16
OD 22:32
Answer:
11:16
Step-by-step explanation:
The ratio cannot be simplified any further.
Explain how you can use a quick picture to find 3× 2.7
Answer:
see the picture 8.1 is answer
Use the graph that shows the solution to f(x)=g(x) . (Images below)
f(x)=7/3x−3
g(x)=2^x−4
What is the solution to f(x)=g(x) ?
Select each correct answer.
−1/2
0
2
3
Here's my step-by-step explanation:
Let's get two facts straight: f(x) is a linear function. It's a line. g(x) is an exponential function. It's a curve.
Method 1: Elimination using f(x)
For f(x), the y-intercept (where on the y-axis it coincides with) in {f(x) = 7/3x - 3} is -3. And the only graph that has that is Graph 2.
Alright, so the first obvious solution, according to that graph, is (0, -3). And since we're speaking in terms of x (thus f(x) and g(x)), we pick the x-value from that coordinate and get 0.
The second solution is not as obvious; it's supposed to be (3,4) but the graph is kinda off. I attached a Desmos graph so you can see what I'm talking about a little more clearly.
Anyway, since we're speaking in terms of x we pick the x-value from that coordinate and get 3. Nice, we've got the solutions 0 and 3.
Hope this helps, let me know if I made a mistake.
What are the first two missing digits of this series 33772365
The missing digit in this numbers are 11
which of these expressions is equal to 0?
a. -24/6 - 4
b. -24/-6 + 4
c. 24/6 + 4
d. -24/-6 - 4
Answer: B is the answer
Step-by-step explanation:
Why? It is equal to 0
Answer:
d. -24/-6 - 4
Step-by-step explanation:
Use order of operation (PEMDAS) to solve.
There are no parentheses.
There are no exponents.
There is multiplication and/or division. Do this first, from left to right.
There is addition and/or subtraction. Do this second, from left to right.
Solve. Remember that a negative times (or divided by) a negative makes a positive.
-24 / -6 = 4
4 - 4 = 0
Check your work. None of the other expressions are equal to 0.
a. -24 / 6 - 4 = -4 - 4 = -8
b. -24 / -6 + 4 = 4 + 4 = 8
c. 24/6 + 4 = 4 + 4 = 8
What is .83 repeating expressed as a fraction in simplest form??? Plz help
Answer:
5/6
Step-by-step explanation:
Let x = 0.8333.....
Then 10x = 8.333...
Now we subtract x from 10x.
10x = 8.333...
- x = 0.833...
-----------------------------
9x = 7.5
9x = 7.5
9x/9 = 7.5/9
x = 7.5/9 = 15/18 = 5/6
Answer: 5/6
The repeating decimal .83 repeating is equal to the fraction 83/99 in simplest form. A repeating decimal can be expressed as a fraction using the method of setting up equations, exploiting the fact we know which digits are repeating.
Explanation:To express the repeating decimal .83 repeating as a fraction in simplest form, we first need to understand what a repeating decimal is. A repeating decimal is a decimal fraction in which a digit or group of digits repeats infinitely. In the case of .83 repeating, the group of digits that is repeating is '83'. This means that the decimal can be written out as .838383..., and so on, infinitely.
To represent this as a fraction, we can use the method of setting up a pair of equations. Let's define the repeating decimal like this: x = .8383... . Now, multiply x by 100 since there are two repeating digits, yielding the equation: 100x = 83.8383... . Subtract the first equation from this to give 99x = 83, or x = 83/99 when simplified. So, the decimal .83 repeating is equal to the fraction 83/99 in simplest form.
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1. Is the equation true, false or open? Explain. 8 + 4 = -5 + 7
2. Which ordered pair is a solution of the equation y = -11x + 4? Make sure you show work! a.
(0,-7) b.(-1, -7) c, (1, -7) d. (2,26)
3. Complete the table and state the rule.
Answer:
1. False
2. c. (1, -7)
3. Input= 1 and 4; Output=6, 12 and 18. The rule is the input×3
Step-by-step explanation:
1. 8+4=±5+7
8+4= 12 & ±5+7= 2
The left side 12 does not equal to the right side 2 , which means that the given statement is false.
2. I'm not sure how to show my work.
3.
Input: 0, 1, 2, 3, 4, 5, 6
Output: 0, 3, 6, 9, 12, 15, 18
0×3=0; 1×3=3; 2×3=6; 3×3=9; 4×3=12; 5×3=15; 6×3=18
1. The equation is false.
2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).
3. The rule for the table is to square the input and add 3.
Why is the equation false?1. Given
8 + 4 = -5 + 7
12 = 2
The left side of the equation is 12, and the right side of the equation is 2. 12 is not equal to 2, so the equation is false.
2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).
To see this, we can substitute the x-value of -1 into the equation and solve for y:
y = -11(-1) + 4
y = 11 + 4
y = 15
We can also substitute the y-value of -7 into the equation and solve for x:
-7 = -11x + 4
-11x = -11
x = 1
Therefore, the ordered pair (-1, -7) satisfies both sides of the equation, so it is a solution.
The other ordered pairs do not satisfy both sides of the equation. For example, if we substitute the x-value of 0 into the equation, we get y = 4, which does not equal -7.
3. The rule for the table is square the input and add 3.
To see this, we can look at the first few rows of the table:
Input | Output
-------|--------
0 | 3
3 | 12
9 | 28
We can see that squaring the input and adding 3 gives us the output for each row. For example, squaring the input of 0 gives us 0, and adding 3 gives us 3, which is the output for the first row.
We can also see that this rule works for all of the rows in the table. Therefore, the rule for the table is to square the input and add 3.
Here is the completed table:
Input | Output
-------|--------
0 | 3
3 | 12
9 | 28
16 | 45
25 | 64
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In the diagram, which angles are vertical angles? Select two options. AngleABE and AngleABC AngleABE and AngleCBD AngleABE and AngleEBD AngleABC and AngleEBD AngleABC and AngleCBD
Answer:
1. ABE and CBD
Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.
2. ABC and EBD
The same reasoning is applied here. The vertex is also B. Notice that the angles CBD and ABD add up to 180 degrees.
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines. The pair of angles which are vertical angles are ∠ABE and ∠CBD.
What are vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
As we know about the vertical angles, it is formed by two intersecting lines as in the given figure below, therefore, the angles which are a pair of vertical angles are ∠ABE and ∠CBD.
Hence, the pair of angles which are vertical angles are ∠ABE and ∠CBD.
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CORRECT GETS BRAINLIEST A pizzeria delivered p pizzas on Thursday. On Friday, it delivered 3 more
than twice the number of pizzas delivered on Thursday. Write an
expression to show the number of pizzas delivered on Friday.
Answer:
(p×2)+3
Step-by-step explanation:
I'm not too sure, I've only just started practicing this stuff?
Which shows the expression below in simplified form?
(8 × 10^6) × (4 × 10^-3)
A. 3.2 × 10^2
B. 3.2 × 10^5
C. 3.2 × 10^3
D. 3.2 × 10^4
Answer: C. 3.2 × 10^4
Step-by-step explanation:
for this case the multiplication of the values with exponent are summed, as the exponent are the 6 and -3
6 - 3 = 3
this will be the exponent of the common value which is the 10.
after you only need to multiply 8 and 4 by separate the
8 * 4 = 32.
then we only need to place the values one by one
32 × 10^3
3 is the result of the sum of the exponent.
10 is the common value.
32 is the result of the product.
if we add another zero to the multiplication we get 3.2 and exponent finish with one more zero, then we get this result
3.2 × 10^4
because of that the C is the correct answer, keep in mind that the other answers do not apply correctly the rule of the exponent, because the rest of answer give us wrong answer with final result of the exponent.
To simplify the expression (8 × 10^6) × (4 × 10^-^3) in scientific notation, we multiply the numbers (8 x 4) and add the exponents (6 + -3) resulting in 32 x 10^3. To represent the coefficient within the range of 1 and 10, we revise 32 as 3.2 x 10 yielding the answer 3.2 x 10^4.
Explanation:To answer the question, 'Which shows the expression below in simplified form? (8 × 10^6) × (4 × 10^-^3)', we need to understand the rules for multiplying numbers in scientific notation. To multiply two numbers in scientific notation, we multiply the coefficients (the numbers) first and separately add the powers of ten.
Here, the coefficients are 8 and 4 which multiply to give 32. The powers of ten are 10^6 and 10^-3. When multiplying powers of 10, we add the exponents, so 6 + -3 = 3. Therefore, the simplified form of the expression is 32 × 10^3. However, in scientific notation, we usually want the coefficient to be a number between 1 and 10. Therefore, we rewrite 32 as 3.2 x 10 to get the final answer: 3.2 x 10^4. So, the correct answer is option D. 3.2 x 10^4
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if x=π, what is x40000000000000000000
Answer:
1.256637061 x 10 (to the power of 20)
Step-by-step explanation:
Just apply these digits into your calculator.
12 The cost of a telephone call is $0.60 for the first three minutes plus $0.17 for each additional minute. What is the greatest number of whole minutes the telephone call can be if the cost cannot exceed $2.50?
F 8
G 11
H 14
j 18
Answer:
H
Step-by-step explanation:
The total cost of the call is $2.50
Since the first three minutes cost $0.60
x minutes = $2.50 - $0.60
x minutes = $1.9
Each additional minutes cost $0.17
So: $1.9 / $0.17 = 11
To find the total minutes
$0.60 + $1.9 = $2.50
3 + 11 = total minutes
14 = total minutes
Find −9/14 + 2/7. Write your answer as a fraction in simplest form.
Answer:
[tex]-\frac{5}{14}[/tex]
Step-by-step explanation:
When you add fractions, sometimes you have to raise a number to make it more easier for you.
As in this case, we have two fractions in which seem to not be the same, but note this.
7 is multiple of 14, meaning to make our life easier, we can do this method:
[tex]\frac{2 * 2}{7 * 2} = \frac{4}{14}[/tex]
Whoa! Now we have the same denominator for both fractions, now we made this problem way more easier than it was before.
Do the math:
[tex]\frac{-9 }{14} + \frac{4}{14}[/tex]
==> [tex]-\frac{5}{14}[/tex]
The fraction in the simplest form is -5/4.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators who let do a basic mathematical calculation.
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
We have been given that expression of fraction as
⇒ -9/14 + 2/7
We have to determine the fraction in the simplest form.
⇒ -9/14 + 2/7
Take the LCM,
⇒ (-9 + 2×2)/7
⇒ (-9 + 4)/7
⇒ -5/4
Therefore, the fraction in the simplest form is -5/4.
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2. A company manufactures tote bags. The company spends $1200 each day for overhead
expenses plus $9 per tote bag for labor and materials. The tote bags sell for $25 each. How
many tote bags must the company sell each day to equal its daily costs for overhead, labor,
and materials?
Answer:
75
Step-by-step explanation:
1200+9X=25X
1200=25X-9X
1200=16X
X=1200/16
X=75
To find the number of tote bags a company needs to sell in order to cover its costs, we need to set its daily costs equal to its daily revenue and solve for the number of bags. In this case, the solution to the equation indicates that the company needs to sell 80 tote bags each day to break even.
Explanation:The subject of this question is business mathematics, specifically the mathematical concept of break-even point. The break-even point is the point at which total revenue equals total expenses, and the business is neither losing nor making money. In this case, the fixed costs, or overhead expenses, total $1200 per day, while the variable costs are $9 per tote bag. We can express daily costs, C, as C = $1200 + $9x, where x represents the number of tote bags. The daily revenue, R, is R = $25x. To find the number of tote bags needed to break even, you set C equal to R and solve the resulting equation $1200 + $9x = $25x. Solving this equation yields x = 80. Therefore, the company needs to sell 80 tote bags each day in order to break even.
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I need help ‼️ #10, #11 & #13.
Answer: 10 : t = 16 11 : x = -8 13 : x = 0
Step-by-step explanation: Im sure about 10 and 11 but not too sure about 13 and explanations are too hard for me to explain
Please answer quickly
The answer is choice A.
Answer:
the answer is A that stuff is real easy
Please help me and this question
Answer: 12 inches cubed
Step-by-step explanation:
volume=length x width x height
volume=1.5 in x 2 in x 4 in
volume=12 in^3
Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 sec . If the runners start at the same spot and run in opposite directions how long will it take the runners to cover 1/4 mi?
Answer:
67.5 seconds
Step-by-step explanation:
I can run faster :D
Find the mean of the runner's speeds as (72 + 63)/2 = 67.5
The runners take 67.5 seconds to cover 1/4 mi if Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.
The runners start at the same spot and run in opposite directions.
The runner's speeds = (72 + 63)
The time they take = 135/2
The time they take = 67.5 seconds
Thus, the runners take 67.5 seconds to cover 1/4 mi if Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.
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To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
negative StartFraction 5 Over 2 EndFraction
negative StartFraction 2 Over 5 EndFraction
StartFraction 2 Over 5 EndFraction
StartFraction 5 Over 2 EndFraction
Final answer:
The slope of the line represented by the equation 2x + 5y = 10, passing through points (5, 0) and (0, 2), is calculated as -2/5, meaning the slope is negative two-fifths.
Explanation:
The slope of the line represented by the equation 2x + 5y = 10 can be calculated by using the coordinates of two points through which the line passes. In this case, the points are (5, 0) and (0, 2). According to the slope formula, slope (m) is defined as the change in y (the rise) over the change in x (the run). Therefore, the slope is:
m = (y2 - y1) / (x2 - x1)m = (0 - 2) / (5 - 0) = -2 / 5The slope of the line is negative two-fifths (-2/5). Since the slope is negative, this indicates that as the x-value increases, the line moves down the y-axis.
1. 3x + y = 11
5x - y = 21
Answer:
[4, -1]
Step-by-step explanation:
Using the Elimination Method:
3x + y = 11
5x - y = 21
__________
8x = 32
__ ___
8 8
x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y
The y's are already additive inverses [result in 0], canceling each other out.
I am joyous to assist you anytime.
Which of the following is(are)the solution(s) to |x+3|=12?
a fraction that is a repeating decimal between 0.25 and 0.5
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3 divided by 1 is 0.33 repeating
Every Tuesday, a bake shop offers a $5 special for 5 items. A customer can get any combination of bagels and donuts, but no more than 5 items for $5.00. The bake shop found that donuts were selling out so they limited the number of donuts to no more than three. Which section of the graph should be shaded to represent the number of possible combinations a customer can get with this $5 deal?
Answer:
3
Step-by-step explanation:
1 Donut, 4 Bagels/2 donuts, 3 bagels/3 donuts, 2 bagels, 3 combinations that are possible
Jamie has a total of 40 coins that are all nickels and dimes. She has 12 more nickels than dimes. How many of
each type of coin does she have?
Answer:
Jamie has 14 dimes and 26 nickels
Step-by-step explanation:
nickels : x
dimes : y
[tex]x + y = 40 \\ x = y + 12 \\ \\ replace \: x \:in \: the \: first \: equation \\ y + 12 + y = 40 \\ 2y = 28 \\ y = 14[/tex]
Jamie has a total of 40 coins out of which there are 14 dimes and 26 nickels.
Let x represent the number of dimes. Since Jamie has 12 more nickels, the number of nickels is x + 12.
The total number of coins is 40, so x + x + 12 = 40.
Solve for x:
2x + 12 = 40, 2x = 28
x = 14.
Write an equation of the line that is parallel to the line whose equation is 3y+7=2x and passes through point (2,6).
Answer:
Step-by-step explanation:
To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.
We need to find it because, if two lines are parallel, then that means they have the same slope.
The best way to do this is solve for y:
[tex]3y+7=2x\\3y=2x-7\\y=\frac{2}{3}-\frac{7}{3}[/tex]
Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.
Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:
[tex]y = mx+b\\y=\frac{2}{3}x+b\\6=\frac{2}{3}(2)+b\\18=4+3b\\ 14=3b\\\frac{14}{3} = b[/tex]
So our line is:
[tex]y=\frac{2}{3}x+\frac{14}{3}[/tex]
To find the equation of a line parallel to a given line and passing through a given point, first find the slope of the original line. Then, using the slope-intercept form of a line, substitute the given point's coordinates and the slope to find the equation of the parallel line.
Explanation:To find an equation of the line parallel to 3y+7=2x and passing through point (2,6), we need to find the slope of the original line and then use it to create the equation of the parallel line. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
The given equation 3y+7=2x can be rearranged to y = (2/3)x + 7/3.
The slope of this line is 2/3. Since a line parallel to another line has the same slope, the slope of the parallel line is also 2/3.
Using the point (2,6) and the slope 2/3, we can use the slope-intercept form to find the equation of the parallel line: y = (2/3)x + b. Plugging in the coordinates of the given point, we get 6 = (2/3)(2) + b.
Solving for b, we find that b = 5/3. Therefore, the equation of the line parallel to 3y+7=2x and passing through (2,6) is y = (2/3)x + 5/3.
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What is the number if 50% of 25% of a number is 48?
Answer:
384
Step-by-step explanation:
If 48 is 50% of something, that means
48 + 48 = 96. Now, what number is 96 25% of? well 96 • 4 = 384. Now let's do the math backwards!
25 % of 384 is 96. 50 % of 96 is 48! so your answer is 384! Hope this helps!!!
Answer:
384
Step-by-step explanation:
If 48 is 50% of something, that means
48 + 48 = 96. Now, what number is 96 25% of? well 96 • 4 = 384. Now let's do the math backwards!
25 % of 384 is 96. 50 % of 96 is 48! so your answer is 384! Hope this helps!!!
Step-by-step explanation:
Simplify the following expression.
(3x - 5)(4 – 9x) + (2x + 1)(6x2 + 5)
Answer: 12x3−21x2+67x−15
Step-by-step explanation:
(3x−5)(4−9x)+(2x+1)(6x2+5)
=12x+−27x2+−20+45x+12x3+10x+6x2+5
=12x+−27x2+−20+45x+12x3+10x+6x2+5
=(12x3)+(−27x2+6x2)+(12x+45x+10x)+(−20+5)
=12x3+−21x2+67x+−15
Answer:
12x^3 - 21x^2 + 67x - 15!
Step-by-step explanation:
what is the square root of 109
[tex] \sqrt{ 109 } [/tex]
A student missed
15 problems on a Chemistry test and received a grade of
52 %. If all the problems were of equal value, how many problems were on the test? Round off your answer to the nearest integer.
Answer:
x = 31
Step-by-step explanation:
Let x: total amount of questions in the Chemistry test.
Then 52% represents the ratio of questions properly answered vs total questions:
[tex]\frac{Correct}{Total} = 52%[/tex]
The number of correct questions is the number of total questions take the number of missed questions.
[tex]Correct questions = Total questions - missed questions[/tex]
Since, missed questions = 15
[tex]\frac{x-15}{x} = 52%[/tex]
Also, 52% can be expressed as 0.52. Then, the expression can be rewritten as:
[tex]\frac{x-15}{x} = 0.52[/tex]
Then, rearranging:
[tex] x - 15 = 0.52x [/tex]
[tex] x - 0.52x = 15 [/tex]
[tex] 0.48x = 15 [/tex]
[tex] x = 15/0.48 [/tex]
[tex] x = 31.25 [/tex]
Rounding to the nearest unit: x = 31
What is 64x + 27 written as a sum of cubes?
Answer:
see explanation
Step-by-step explanation:
64x + 27 ← is not a sum of cubes. We would require
64x³ + 27 ← sum of cubes and factors as
64x³ + 27 = (4x + 3)(16x² - 12x + 9)