The number of gallons to be sold in a month is 160,000 gallons.
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A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month, if X is the number of a gallons sold.
The given parameters include;
total monthly expenses, t = $(5000 + 2.2x)
number of gallons sold, = x
price of a gallon, p = $2.25
estimated profit in a month, g = $3000
The equation for profit made in a month is as follows;
Total revenue - expenses = profit
2.25x - (5000 + 2.2x) = 3000
2.25x - 5000 - 2.2x = 3000
0.05x = 8000
x = 8000/0.05
x = 160,000 gallons
Therefore, the number of gallons to be sold in order to make the estimated profit in a month is 160,000 gallons.
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5 divided by -3
Answer:
-5/3
Step-by-step explanation:
5 ➗ -3
=> 5/-3
=> -5/3 or -1.66667
5 divided by -3=1.666666666666667
HElp Please its Pre-Calculus Matrix
The determinant is C. -541.
Using a cofactor expansion along the first row:
[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]
What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP
Answer:
(-12,-6)
Step-by-step explanation:
A translation 5 units to the left (x-5)
And 4 units down ( y-4)
(-7-5, -2-4)
(-12,-6)
Another learning aid provides a step-by-step walk-through showing the solution process for a problem similar to the one you are working on. You would click Continue to advance through each step in the solution process to show intermediate calculations at key points. While you are attempting to solve the given exercise, this learning aid can be referenced multiple times and does not load a new version of the exercise when it is accessed. Choose the described learning aid below.
Choose the described learning aid below.
a. Animation
b. view an example
c. video
d. help me solve this
e. Textbook
The answer to this question is option b. View an example helps to give a step by step walk through showing the solution to a similar problem.
The learning aid that is referenced in this question is view an example because it is a learning aid that helps the learner to solve a problem just by looking at the solution of another problem.
The solution that is being viewed has to be quite similar with the problem. Such that the learner would be able to follow through with finding a solution to his problem by following the steps in the example.
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What is the midpoint of PQ?
Answer:
I think it is (2,0)
Step-by-step explanation:
Because in it 2 lies in the mid of x either y
Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.
Answer: $420
Step-by-step explanation:
40% of 1st year commission
1st year commission is $1050
40% x 1050 = .40 x 1050 = 420
$420
It takes 5 minutes for 10 people to drink 25 pints of water. At this rate, how long would it take 15 people to drink 155 pints of water
Answer:
the time taken for the 15 people to drink 155 pints is 20.67 min.
Step-by-step explanation:
Given;
10 people took 5 mins to drink 25 pints of water
[tex]The \ rate\ for \ 10 \ people = \frac{25 \ pints }{5 \ mins} = 5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 1 \ person = \frac{5}{10} \ \frac{pints}{\min} = 0.5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 15 \ people = 15( 0.5 \ \frac{pints}{\min} )= 7.5 \ \frac{pints}{\min} \\\\Time \ taken \ for \ the \ 15 \ people \ to \ drink \ 155 \ pints = \frac{155 \ pints}{7.5 \ pints/ \min} \\\\= 20.67 \min[/tex]
Therefore, the time taken for the 15 people to drink 155 pints is 20.67 min.
A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.
Answer:
The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
Step-by-step explanation:
Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:
6/15 x 5/14 = 0.1428
9/15 x 8/14 = 0.3428
Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.
Please answer this and simplify
Answer:
volume = x(x+2)(2x+1) = 2x^3+5x^2+2x
a = 2
b = 3
c = 5
d = 2
e = 2
f = 1
Which greatest digit should replace m so that the number 10m6415 is divisible by 11
Answer:
Step-by-step explanation:
Sum of digits of rank even - sum of digits of rank odd must be a multiple of 11
(5+4+m+1)-(1+6+0)=11*k
10+m-7=11*k
3+m=11*k
m=8
Proof: 1086415/11=98765
which of the following is equal to the rational expression when X ≠ 2 or 1?
Answer:
[tex]\frac{x+5}{x-2}[/tex]
Step-by-step explanation:
Find the value of x. Round
the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
We need to use the law of sines
sin 27 sin 34
------- = --------
11 x
Using cross products
x sin 27 = 11 sin 34
x = 11 sin 34/ sin 27
x=13.54901
To the nearest tenth
x = 13.5
what does it mean when x is a constant, in a maths equation
Answer: a constant is a fixed number in an expression. For example x+5=9. The constants are 5 and 9 since it’s a fixed number. Since it says x is a constant it means it can only be one answer.
If a graph is a line, it will always have a domain of all real numbers.
True or False
Answer:
i think its true.
Step-by-step explanation:
Hope it helps!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
d
Step-by-step explanation:
Answer:
D
because the least popular thing that was sell at the bake sale is the corn muffins
hope this helps!!!
Find the scale factor where the pre-image is the small triangle and the image is the large triangle.
Answer:
D
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to pre image
scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D
Find the slope of the line containing the points (-3, -6) and (4, 7).
Answer:
[tex]\frac{13}{7}[/tex]
Step-by-step explanation:
→ State the slope formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ Substitute in the values
( 7 - -6 ) ÷ ( 4 - -3 )
→ Simplify
[tex]\frac{13}{7}[/tex]
Answer:
slope = [tex]\frac{13}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)
m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]
Name the property shown by the statement 2a = a2
Distributive property
screenshot if you need more words. seems to be a well illustrated and compact explanation right there
Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.
A 2-row table with 10 columns. The first row is labeled font size with entries 14, 12, 16, 10, 12, 14, 16, 18, 24, 22. The second row is labeled word count with entries 352, 461, 340, 407, 435, 381, 280, 201, 138, 114.
Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?
y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723
Answer:
y = -26.059x + 722.63
Step-by-step explanation:
The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.
How to illustrate the equation?It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.
To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.
Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.
In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.
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Find the area of the triangle with sides 40, 50, and 60.
a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units
Please help I’ll give brainliest if you explain.
Answer:
B
Step-by-step explanation:
there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4
Which equation represents a line which is parallel to the line y=7/6x−6?
7y-6x= -14
6x + 7y = 56
7x + 6y = 18
7x - 6y = -48
Answer:
6x+7y=56
Step-by-step explanation:
In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1
Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].
But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].
Correct answer gets 5 stars and brainliest
Answer:
12
Step-by-step explanation:
Since this is a right triangle ,we can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + 5^2 = 13^2
a^2 +25 = 169
Subtract 25 from each side
a^2 = 169-25
a^2 = 144
Taking the square root of each side
sqrt(a^2) =sqrt(144)
a = 12
What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11
Answer:
mateweew ans is 12
The mode is the value that appears most frequently in a data set.
and 12 repeats twice other once so anw is obv 12
Answer: 12
Step-by-step explanation:
The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.
Answer:
47°;47°;113°;113°
Step-by-step explanation:
3x+5=61-x
4x=56
X=14
Find tan 0 if sin 0 = 1/2
is in the second quadrant.
sin O = 1/2 = p/h
p=1, h = 2.
by pythagoras tgeorem,
b =
[tex] \sqrt{3} [/tex]
tan0= p/b
[tex]1 \div \sqrt{3} [/tex]
PLEASE HELP ME ASAP!!
Answer:
(0.5, 0.5)
Step-by-step explanation:
Use the midpoint formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
The points are:
A(-2, 4)C(3, -3)[tex](\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})[/tex]
Therefore, the midpoint between A and C is located at (0.5, 0.5).
jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?
Answer:
Jane's age = X
In 2 years time = X + 2
In 5 years time = X + 5
Step-by-step explanation:
Answer from Gauth math
Answer:
Step-by-step explanation:
Jane is X years old means she is currently X age. So 2 years later she will be 2+X years old and 5 years later she will be 5+X years old
A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that the marble selected is blue is:
Step-by-step explanation:
the probability will be amount of green marbles over total amount of marbles
if there are 2 green marbles, and 10 total the probability is 2/10, or 20%
A shopkeeper marked price of a radio is rupees 5000 is sold it allowing a discount of 10% and made a profit of rupees 500 find the cost price of the radio
the cost price of radio is Rs.4450.