The total amount of gas Jina bought last week will be 29.44 gallons.
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.
Jina filled her gas tank three times last week. Here are the amounts of gas she bought (in gallons).
6, 13.94, 9.5
The total amount is given as,
⇒ 6 + 13.94 + 9.5
⇒ 29.44 gallons
The total amount of gas Jina bought last week will be 29.44 gallons.
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f John consistently makes $1200 deposit into his saving account every year, how many years would it take for John to have his first $1,000,000? (Round your answer up to the nearest whole number.)
Answer:
834 years.
Step-by-step explanation:
Let [tex]y[/tex] equal years.
Construct an equation:
[tex]1200y=1000000[/tex]
Divide both sides of the equation by the coefficient of [tex]y,[/tex] which is [tex]1200[/tex]:
[tex]y=833.3333...\\[/tex]
Round up to the nearest whole number:
[tex]y=834[/tex]
the endpoints of cd are c(5,3) and d(-3,-6) find the coordinates of the midpoint M
Answer:
Step-by-step explanation:
Midpoints of two coordinates is expressed using the formula;
M(X, Y) = (x2+x1/2, y2+y1/2)
Given the coordinates c(5,3) and d(-3,-6)
x1 = 5, y1 = 3, x2 = -3 and y2 = -6
X = x1+x2/2
X = 5+(-3)/3
X = 5-3/2
X = 2/2
X = 1
Also;
Y = y1+y2/2
Y = 3+(-6)/2
Y = 3-6/2
Y = -3/2
Y = -1.5
Hence the coordinates of the midpoint M is (1, -1.5)
Answer:
Step-by-step explanation:
Hence the coordinates of the midpoint M is (1, -1.5)
small town whose population was 18,395 ten years ago, has lost 270 inhabitants each year since then. what is the present population of small town?
Answer:
15965
Step-by-step explanation:
a=18395
d= -270 (lost inhabitants every year)
n=10
tn=?
We know that,
tn= a+(n-1)×d
=18395+(10-1)×(-270)
=18395+9×(-270)
= 18395 -2430
=15965
Hence,the present population of small town is 15965.
Practice using a table to determine key features of the graph of a continuous function. A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56. What is the x-intercept of the continuous function shown in the table? (0, –8) (0, 2) (–8, 0) (2, 0)
Answer:
2,0
Step-by-step explanation:
Answer:
the answer too this answer is 2.0
Step-by-step explanation:
I just did it on edge i got it right.
Drag the numbers to order them from least to greatest.
0.7
-4.5
0.3
-0.5
2.3
Answer:
-4.5 -0.5 0.3 0.7 2.3
Step-by-step explanation:
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation -3x+3=4-4x?
Answer: x= 1
Step-by-step explanation: solve for x by simplifying both sides of the equation, then isolating the variable.
simplify the expression: 14-|-10+3|
Answer:
7
Step-by-step explanation:
14-|-10+3|
First find what is in the absolute value
14-|-7|
Take the absolute value
14 - 7
7
Which expression is equal to “7 times the sum of a number and 4"?
Answer: 7 (x+4)
Step-by-step explanation: Since the expression asks for 7 times the sum of a number and 4, you would put x + 4 in parentheses since multiplying 7 comes afterwards.
Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
24.4 miles per gallon or 24 2/5 miles per gallon.
The unit rate of Jack's car is 10.8 miles per gallon.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline.
∴ The unit rate for miles per gasoline can be obtained if we divide the total no. of miles by the total no. of gasoline used which is,
= (13.5/1/25).
= 10.8 miles per gallon.
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Solve the system of equations by
y= 5x + 8
y = 8x + 9
A circle has a diameter of 22 cm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
[tex]\boxed {\tt 69.08 \ centimeters}[/tex]
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
[tex]c= \pi d[/tex]
where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.
[tex]d= 22 \ cm[/tex]
[tex]c= \pi* 22 \ cm[/tex]
We also know we are using 3.14 for pi. Substitute it in for pi.
[tex]c= 3.14 * 22 \ cm[/tex]
Multiply.
[tex]c=69.08 \ cm[/tex]
The circumference of the circle is 69.08 centimeters.
Answer:
Circumference = 69.08 cm
Step-by-step explanation:
Diameter = 22
Radius = 22/2
= 11
Circumference = 2πr
= 2 × 3.14 × 11
= 69.08 cm
Hoping it helps
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Y = l x + 5 l pleaseeee
Answer:
y = x + 5
Step-by-step explanation:
We can take away the absolute value signs (as the equation does not differ with or without them).
To graph, one must remember slope-intercept form (y = mx + b)
M is the slope. When a clear "m" is not present, then one must assume that it is one, as the product of one and x is x.
B is where the y-axis intercepts the line (when x equals zero, y equals b). This is called the y-intercept. In this equation, b is five, so one point on the line is (0, 5). Then, following the slope (which is rise over run, or y over x), one must go up one, over one, up one, over one (up one unit, then to the right one unit (then mark your spot as a point)), then, draw a straight line connecting the two or more points. And there you have it!
9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
20%. Find
1) the cost price of the article
2)the selling price of the article
Answer:
The cost price of the article was Nu 1,000
The original selling price was Nu 1,120
The second selling price was Nu 1,200
Step-by-step explanation:
System of Equations
Let's call:
x = Original selling price of the article
y = Cost of the article
The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:
0.12y = Original profit
Setting up the equation, we have:
[tex]x-y=0.12y[/tex]
The second condition states the selling price is 80 Nu more than before, that is:
x+80= Second selling price of the article
y = Cost of the article (it doesn't change)
The profit of this condition is 20%, thus:
0.2y = Second profit
This produces a second equation:
[tex]x+80-y=0.2y[/tex]
Let's put both equations together to form a system of equations:
[tex]x-y=0.12y[/tex]
[tex]x+80-y=0.2y[/tex]
Operating on both equations:
[tex]x=1.12y[/tex]
[tex]x=1.2y-80[/tex]
Equating both equations, we have an equation with only y's:
[tex]1.12y=1.2y-80[/tex]
Subtracting 1.2y on each side:
[tex]1.12y-1.2y=-80[/tex]
Operating:
[tex]-0.08y=-80[/tex]
Solving:
[tex]\displaystyle y=\frac{-80}{-0.08}=1,000[/tex]
a)
The cost price of the article was Nu 1,000
b) The selling price of the article will be calculated in both cases:
Original selling price: x=1.12y= 1.12*1000=1,120
The original selling price was Nu 1,120
The second selling price was x+80=1,200
The second selling price was Nu 1,200
Which of the following were grown as surplus crops and used for trade in the southern colonies? Choose all that apply. tobacco wheat rice indigo
Answer:
I think it is Tobacco, rice and Indigo
Step-by-step explanation:
All of the Southern colony's like Virginia, Georgia, North and South Carolina and Maryland all had the cash crops of tobacco, rice and indigo.
Maryland's cash crops- Tobacco
Virginia's cash crops-Tobacco, Rice and Indigo
North Carolina- Tobacco
South Carolina- Rice
Georgia- Tobacco, Rice and Indigo
Hope this helped!!! :)
An animator is drawing a scene in which a ladybug moves around three mushrooms. The figure shows
the starting position of the ladybug. The animator rotates the ladybug 180° around mushroom A, then
180° around mushroom B, and finally 180° around mushroom C. What are the final coordinates of the
Ladybug?
What are the final coordinates of the ladybug?
Answer:
(-1, 4)
Step-by-step explanation:
Original position of the ladybug → (-1, 4)
Animator rotates the ladybug 180° around the mushroom A.
Coordinates of the new position of the ladybug → (-5, -4)
Now this point is rotated by 180° around the mushroom B,
Coordinates of the new position → (0, 3)
Point (0, 3) has been rotated again by 180° about the mushroom C,
Coordinates of the new position → (-1, 4)
Therefore, ladybug will come back to its original position after these transformations at (-1, 4).
The product of y and 2
Answer:
2y
From: iOE your friend
*Be awesome Be you*
can someone please help?? (assume that no variable equals 0)
Write the equation of the line passing through the points (-7,7) and (7,1).
Answer and work down below. Let me know if you have questions
Perform the stated transformation on the parent function f(x) = x2
Translate 9 units left and reflect in the x-axis
Answer:
f(x) = -1 (x-9)^2
Step-by-step explanation:
To translate left or right, you must modify the x directly. As in (x-9). If you wanted to move it up or down you would do X^2 ± n, not directly modifying the x.
as well as, you are essentially making a new "zero" through this translation to (-9,0). i'm not sure if you're at that yet though.
as for the translation over the x axis.
when y is negative(or opposite), you have translated over the x-axis.
when x is negative(or opposite), you have translated over the y-axis.
Since you are doing the exponents, then the parenthesis, and then multiplying -1 last (by pemdas) you are ensuring that f(x), the output, or y, is always opposite or negative.
The temperature in a town is 36.1°F during the day and -8.9°F at night. Find the difference in the
temperatures.
The difference in temperature is N°r.
HELP HELP
Answer:
45 degrees
Step-by-step explanation:
A man has 29 coins in his pocket, all of which are dimes (worth $ 0.10 each) and quarters (worth $ 0.25 each). If the total value of his change is $ 4.85 , how many dimes and how many quarters does he have?
Answer:
58
Step-by-step explanation:
The rational number -17 is equal to what fraction?
Answer:
-17
Step-by-step explanation:
-17 is a prime number.
1. Write 0.2 as a fraction.
Let x=
10x=
TE
10x - X=
14
NE
9x =
x=
So 0.2 is equal to
Answer:
2/10
Step-by-step explanation:
0.2 is equal to 2 tenths which is 2/10
True or false: f(x) is a function. 0 3 4 2 8 12 0 f(x) A. True B. False
Answer: true
Step-by-step explanation: f(x) is a function because each x value (left oval) has one y value (right oval)!
Marcia has 412 flowers for centerpieces she uses 8 flowers for each center how many center pieces can she make
Answer:
5l.5
Step-by-step explanation: 412 divieded into 8 is 51 or 51.5
Answer:
51
Step-by-step explanation:
To find how many centerpieces she can make, divide 412 by 8, since she has 412 flowers and uses 8 for each one:
412/8
= 51.5
Since centerpieces can only be whole numbers in the real world, this has to be rounded down to 51.
So, she can make 51 centerpieces.
If $5,860 was raised, which statements are true? Check all that apply.
Answer:
i dont undserstand this
Step-by-step explanation:
Darlene earned 6.75 interest in her savings account for a 15-month period. What was the average amount of interest Darlene earned on her savings account per month?
Please help ASAP 15 points
Alternate interior angles - <4 & <6
Vertical angles - <5 & <7
Alternate exterior angles - <1 &<7
Supplementary angles - <6 & <7
Corresponding angles - <8 & <4
Consecutive interior angles - <3 & <6
Given f(x)=2x + 5 and g(x)=x^2 - 3
f(3)=
g(2)=
g(f(-1))=
f(g(-1))=
g(f(x))=
Answer:
See below
Step-by-step explanation:
Given
f(x)=2x + 5 and g(x)=x^2 - 3=================
f(3)
f(3)= 2*3 + 5 = 11g(2)
g(2)= 2^2 - 3 = 1g(f(-1))= 6
f(-1) = -2 + 5 = 3g(3) = 3^2 - 3 = 6f(g(-1))= 1
g(-1) = (-1)^2 - 3 = -2f(-2) = -2*2 + 5 = 1g(f(x))
g(f(x))= (2x +5)^2 - 3 = 4x^2 + 20x + 25 - 3 = 4x^2 + 20x + 22HURRY! Which expression represents the sixth term in the binomial expansion of (5y + 3)10?
10C5(5y)5(3)5
10C6(5y)4(3)6
510C5(y)5(3)5
510C6(y)4(3)6
Answer:
B. 10C6(5y)^4(3)^6
Step-by-step explanation:
The general binomial expansion formula is expressed using the formula:
(x+y)ⁿ = nCr x^{n-r}y^r
Given the equation (5y+3)^10
To get the sixth term of the expansion, we will compare the general formula given with the question
On comparison, x = 5y y = 3 and n = 10. Since we need the sixth term of the sequence, r will be equal to 6 i.e r = 6
Substitute the variables into the binomial formula above to get the sixth term.
(5y+3)^10 = 10C6 (5y)^10-6 (3)6
(5y+3)^10 = 10C6(5y)^4(3)^6
Hence the sixth term in the binomial expansion is 10C6(5y)^4(3)^6
Answer:
A on edge
Step-by-step explanation:
