Answer:
- 978.6 gallons per hour
Step-by-step explanation:
Given that :
Change in gasoline (gallon) : 58,432.4 gal to 56,475.2 gal
Time during which change occurred : 2:00 pm to 4:00 pm
Average change per hour : [Change in gallon of gasoline / time interval (hour)]
Change in gallon of gasoline = (56,475.2 - 58,432.4) = - 1957.2 gallons
Time interval = 4:00 pm - 2:00 pm = 2 hours
Hence, Average change per hour :
-1957.2 / 2
= - 978.6 gallons per hour
−8 (1 + x) + 7x PLEASE HELP
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
Alex has saved $30 and he earns $12 per hour. He wants to have at least $150 in his savings account. How many hours can he work?
Answer: 10
Step-by-step explanation: 120 divided by 12 = 10
what is the answer to 5--4
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
-5 = -3(x + 11) HELPP
Answer: x=9 1/3
Step-by-step explanation:
-5=-3x-33
-5+33=-3x
28=-3x
3x=-28
x=28/3
x=9 1/3
Answer: X=-28/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5=−3(x+11)
−5=(−3)(x)+(−3)(11)(Distribute)
−5=−3x+−33
−5=−3x−33
Step 2: Flip the equation.
−3x−33=−5
Step 3: Add 33 to both sides.
−3x−33+33=−5+33
−3x=28
Step 4: Divide both sides by -3.
-3x/-3= 28/-3
X=-28/3
have a nice day :)
The coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 when point D is placed on this square what will the perimeter of the square be?
Answer:
The perimeter of square will be 18 units
Step-by-step explanation:
We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )
When point D is placed on this perimeter.
We have to find the perimeter of the square.
First we have to find the side of square by using the distance formula
Distance formula
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of A=(-5/2,3/2)
Coordinates of B=(-5/2,-3)
Length of side AB=[tex]\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}[/tex]
Length of side AB=[tex]\sqrt{0+(-9/2)^2}[/tex]
Length of side AB=9/2 units
Now, the perimeter of square=4 (side)
Using the formula
Perimeter of square=4(9/2)=18 units
make
x
the subject of the formula
p
+
x
=
t
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
☆15 POINTS AND MARKED BRAINLIEST IF CORRECT☆
look at the image above to view the question!
Answer:
3125 bacteria.
Step-by-step explanation:
We can write an exponential function to represent the situation.
We know that the current population is 100,000.
The population doubles each day.
The standard exponential function is given by:
[tex]P(t)=a(r)^t[/tex]
Since our current population is 100,000, a = 100000.
Since our rate is doubling, r = 2.
So:
[tex]P(t)=100000(2)^t[/tex]
We want to find the population five days ago.
So, we can say that t = -5. The negative represent the number of days that has passed.
Therefore:
[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]
However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.
We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:
[tex]P(t)=A(2)^t[/tex]
After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:
[tex]100000=A(2)^5[/tex]
And solving for A, we acquire:
[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]
So, our function in terms of the original day is:
[tex]P (t) = 3125 (2)^t[/tex]
So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
Answer:
We can express the question in a exponential function
The current population is 100,000.
The population doubles each day.
The exponential function is given by: P(t)=a(r)^t
The current population is 100,000, a = 100000.
The rate is doubling, r = 2.
P(t)=100000(2)^t
As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:
P(t)=A(2)^t
After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:
100000=A(2)⁵
Now solving for A, we get
A=(100000)/(2⁵)=3125
So, the function in terms of the original day is:
P (t) = 3125 (2)^t
Hence, the initial population is 3125 bacteria.
3125 is the right answer.Solve the equation 0.3 3=n
n=_____
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ2
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
solve for x round your answer to the nearest tenth
Tara plans to rent a car for the weekend. The cost is $45 plus $0.15 for each mile she drives. Write an equation that represents this situation and describe the variables.
Answer:
y = 45 + 0.15x
Step-by-step explanation:
$45 is the initial cost
0.15 is the cost for each mile
we dont know the miles so miles is x, unknown
which expression represents purely real numbers and which expression represents non-real complex number?
Incomplete question. However, I provided some explanation about non-real complex numbers.
Explanation:
In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.
For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.
While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.
Given f(x) = –x– 5, solve for a when f(x) = -3.
Answer:
-2
Step-by-step explanation:
f(x) = –x– 5
f(x) = -(-3)– 5
f(x) = 3– 5
f(x) = -2
Answer:
Answer is -2 because - * - = + 3-5=-2
what is the y- intercept of the line with the eqaution y=-2x+4
Answer:
(0,4)
Step-by-step explanation:
When you are finding the y-intercept, the x = 0
y = -2x + 4
y = -2(0) + 4
= 0 + 4
y = 4
Meaning y = (0,4)
[tex]\sf{\underline{Given:-}[/tex]
[tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]
[tex]\sf{\underline{To~find:-}}[/tex]
[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]
Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.
Notice that the y-intercept is a constant...
Hence, the y-intercept of the line is
[tex]\bigstar{\boxed{\pmb{4}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
can someone plz help me with the questions .it’s due in 15 mins
Answer:number 14 is 8
Step-by-step explanation:
bc 5$ off all the bottles you bye is 2 dollars so keeps on counting the you get 8
Answer:
13.-16
14.-3
Step-by-step explanation:
The point (4, 10) is in each scatterplot. In which one is it an outlier? On a graph, points (4, 10) and (6, 1) are outside of the cluster. On a graph, points are scattered. On a graph, point (2, 1) is outside of the cluster. On a graph, all points are within the cluster.
Answer:
A) On a graph, points (4, 10) and (6, 1) are outside of the cluster.
Answer:
A) The first option
Step-by-step explanation:
You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
On a map of a fair, the Ferris wheel is located at (3, 2). The carousel is located 5 units south of the Ferris wheel. What ordered pair represents the location of the carousel?
Answer:
(3,-3)
Step-by-step explanation:
It is located 5 units south, which means it is on the y-axis line. So, you would subtract 5 from 2 (2-5) and that gives you -3.
which expressions are equal ?
Answer:
Step-by-step explanation:
Options B and D are correct as they are equal to 1728
In AEFG, EF = 44 centimeters and FG = 12 centimeters. Which of the following best describes the possible length, in centimeters, of
AO 44
B. O 32
CO 12
D. 32 < EG < 44
Answer:
The best inequality describes the possible length of EG is 32 < EG < 56 ⇒ B
Step-by-step explanation:
In any triangle
The sum of the lengths of any two sides must be greater than the length of the third sideThe length of any side is greater than the difference between the lengths of the other two sidesIn Δ EFG
∵ EF = 44 cm
∵ FG = 12 cm
→ Find their sum and difference
∴ The sum of their length = 44 + 12 = 56 cm
∴ The difference between their length = 44 - 12 = 32 cm
→ By using the rule above
∵ EG is the third side
∴ EG < 56
∴ EG > 32
→ Write them in one inequality
∴ 32 < EG < 56
∴ The best inequality describes the possible length of EG is 32 < EG < 56
what is the square root of 31
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
The cost of two pounds of cherries is
$8.58. What is the unit rate that describes the
cost per pound of cherries?
Answer:
since you have 2 pounds, and spend $8.58 total, divide the amount you spent, but how many pounds you bought to get the unit rate which is $4.29
Step-by-step explanation:
Answer:
$4.29 per pound
Step-by-step explanation:
(8.58 dollars)/(2 pounds) = ((8.58/2) dollars)/pound =4.29 dollars/pound
Solve for x.
-2.3 (x - 1.2) = -9.66
Enter your answer, as a decimal, in the box.
x = _______
Answer:0.03
Step-by-step explanation:
PLEASE HELP DUE IN 30 MINS!!!
Answer:
There ya go
Step-by-step explanation:
Answer:
15/2
Step-by-step explanation:
goodluck on the rest! (:
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
Solve for x, 3-5x=18
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15
5x = 15
divide both sides by 5
X = 3
Answer:
[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]
x=-3 is the right answer.Find the value of x in the triangle.
67 113
293
7
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°