How do I solve this equation? I need a refresher on Algebra.
Final answer:
To solve an algebraic equation, identify knowns, find suitable equations, simplify algebraically, substitute known values, solve for the unknown, and check if the answer is reasonable.
Explanation:
To solve an algebraic equation, follow these systematic steps:
Firstly, identify the knowns and make a list of what is given or can be inferred from the problem.
Then, find the appropriate equation or set of equations that contain the unknown you need to solve for.
Simplify the algebra by eliminating terms wherever possible. This might require algebraic rearrangement such as dividing terms or multiplying both sides of the equation to isolate the unknown.
Substitute the known values into the equation.
Solve for the unknown and make sure to include units where necessary.
Finally, always check your answer to see if it is reasonable and makes sense.
These steps should yield a solution that is both accurate and verifiable.
The graph below represents the running schedule of a distance runner, who is increasing the distance she runs each week. What is the distance she will run in the ninth week?
A. 22 miles
B. 21 miles
C. 20 miles
D. 19 miles (My answer???)
Answer: The answer is (D) 19 miles.
Step-by-step explanation: We are given a graph that represents the running schedule of a distance runner, who is increasing the distance she runs each week. We are to find the distance she will run in the ninth week.
In the graph, the number of week are represented by the X-axis and the distance run is represented by the Y-axis.
Since we are to find the distance run in the ninth week, so we will have to find the value of y when the value of x is 9.
We can see from the graph that when x = 9, then y = 19, as (9, 19) is a point on the graph. So, the distance run in the ninth week is 19 miles.
Thus, (D) is the correct option.
2x+5=10
Solve for x
The length of a table is 6 feet. On a scale drawing, the length is 2 inches. Write three possible scales for the drawing
Answer:
The three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
Step-by-step explanation:
It is given that the length of a table is 6 feet. On a scale drawing, the length is 2 inches.
The scale for drawing is
[tex]Scale=\frac{\text{Length in drawing}}{\text{Actual length}}=\text{Length in drawing}:\text{Actual length}[/tex]
First possible scale for the drawing is
2 inch : 6 feet
It can be written as
1 inch : 3 feet
We know that 1 feet = 12 in
1 inch : 36 inch
We know that 1 feet = 30.48 cm
1 inch : 91.44 cm
Therefore the three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
The three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
Here, we have,
It is given that the length of a table is 6 feet. On a scale drawing, the length is 2 inches.
The scale for drawing is
scale = length in drawn/actual length
scale = length in drawn : actual length
First possible scale for the drawing is
2 inch : 6 feet
It can be written as
1 inch : 3 feet
We know that 1 feet = 12 in
1 inch : 36 inch
We know that 1 feet = 30.48 cm
1 inch : 91.44 cm
Therefore the three possible scales for the drawing are 1 inch : 3 feet, 1 inch : 36 inch and 1 inch : 91.44 cm.
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Simplify the equation and write the answer without negative exponents
How do you write 7/20 as a percentage??
A factory makes an oil mixture by mixing oils of grades A and B as follows. For every 2.3 liters of grade A oil, 1.2 liters of grade B oil are mixed in. How many liters of grade A oil and grade B oil will the factory need to make 1000 liters of their oil mixture? Explain your solution.
use properties to find 4 times 23 times 25
Answer:
2300
Step-by-step explanation:
What is the value of x in the equation 2x – 3 = 9 – 4x?
How are the values of the eights in 880 relared
What is the vertex of the graph of y+2x+3 = -(x+2)^2 + 1?
A. (-3,-33)
B. (-3,3)
C. (3,-24)
D. (3,21)
PLEASE ASAP
Trapezoid W ′ X ′ Y ′ Z ′ is the image of trapezoid WXYZ under a dilation through point C. What scale factor was used in the dilation?
− 7/3
− 3/7
3/7
7/3
Irrigation improves the yield of strawberries per acre according to the function S=-(w-2)^2 +50 where S is the number of pints of strawberries grown per acre and w is the acre-feet of water used. Strawberries sell for $3 per pint and water costs $5 per acre-foot. Graph the yield function.
py+7=6y+q solve for y
We know that we are solving for y.
This is a step by step procedure to get the value of y.
First: Move all terms to the left side and set equal to zero.
Second: Then set each factor equal to zero.
The application is:
Given: py+7=6y+q
-6y -7 -6y -7 = 0
(p-6)y = q-7
divide both sides by p-6
y=(q-7)/(p-6)
Answer is y = (q – 7) / (p – 6)
The solution of expression for y as,
⇒ y = (q - 7) / (p - 6)
We have to given that,
An expression is,
⇒ py + 7 = 6y + q
Now, We can simplify the expression for y as,
⇒ py + 7 = 6y + q
Subtract 6y both side,
⇒ py - 6y + 7 = 6y + q - 6y
Subtract 7 both side,
⇒ py - 6y = q - 7
⇒ y (p - 6) = (q - 7)
Divide both side by (p - 6);
⇒ y = (q - 7) / (p - 6)
Therefore, The solution of expression for y as,
⇒ y = (q - 7) / (p - 6)
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pre cal/cal master needed
g(x)={ ax-3, x<-2
{ x^2 -2x, x>-2
What value would the function g(x) have point discon. at x=-2 how to find?
Give A={a,b,c},how many subsets does A have including 0?
Which Rate Does Not Belong With The Other Three. Explain
60 mi/h
88 ft/s
500 ft/min
1,440 mi/day
88ft/s
hop this helps
A family went on vacation and used 5.4 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?
7.2 total gallons of gasoline they will need to travel 200 more miles.
What is Distance?Distance is the total speed of an object. This is regardless of direction. It is also defined as multiplying the speed of an object by the total time taken by the object to travel the length of its path.
Distance = Speed * Time
It's SI unit is metre (m).
It is a scalar quantity which has no direction. It only has magnitude means only value.
For above given example,
For 150 miles 5.4 gallons gas is used
so, for 1 mile 0.036 gallon will be used
So, For more 200 miles= 0.036*200
= 7.2 gallons of gas will be used
Thus, 7.2 total gallons of gasoline they will need to travel 200 more miles.
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What is n in a(n-5)+6=bn.(You can use variables in the answer). Please explain, if you can.
what is 25.6 divided by 0.5 =
On Sunday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
The local hamburger shop sold 99 hamburgers on Sunday. This was derived using algebraic equations based on the information provided in the word problem.
Explanation:The problem provided is a classic case of algebraic translation from a word problem. Given that a local hamburger shop sold a total of 396 hamburgers and cheeseburgers, with the number of cheeseburgers being three times the number of hamburgers, we can solve this problem using simple algebraic equations.
Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We know from the problem that C = 3H and that H + C = 396. We substitute C into the second equation to get H + 3H = 396, which simplifies to 4H = 396.
Finally, divide both sides by 4 to solve for the number of hamburgers: H = 396 / 4 = 99. Thus, the hamburger shop sold 99 hamburgers on Sunday.
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I need help I am trying to find ft
1 foot = 12 inches
divide 69 by 12
69/12 = 5.75 feet
The second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 68 feet, what are the lengths of the three sides?
Answer: The required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.
Step-by-step explanation: Given that the second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side.
The perimeter of the deck is 68 feet.
We are to find the lengths of the three sides of the deck.
Let x feet be the length of the shortest side.
Then, according to the given information,
the length of the second side = (x+6) feet
and
the length of the third side = (2x-6) feet.
Since the perimeter of the deck is 68 feet, so we must have
[tex]x+x+6+2x-6=68\\\\\Rightarrow 4x=68x=\dfrac{68}{4}\\\\\Rightarrow x=17.[/tex]
Therefore the lengths of the three sides are
17 feet, (17+6) feet and (2×17-6) feet
= 17 feet, 23 feet and 28 feet.
Thus, the required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.
You are building a new house on a cartesian plane whose units are measured in miles.
Your house is to be located at the point (6,0). Unfortunately, the
existing gas line follows the curve y=√16x^(2)+6x+19.
It costs 300 dollars per mile to install new pipe connecting your house to the existing line.
What is the least amount of money you could pay to get hooked up to the system?
8x__=2
10x__= 5
—
2
6x__= 3
—
2
?? Can you fill in the blanks?
Supposed to angles are supplementary and one of them measures 31° what is the measure of the other angle
what is 28.5 divided by 5
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).2/3
we know that
If two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
In this problem we have
[tex]m1=\frac{2}{3}[/tex]
Substitute in the formula and solve for m2
[tex]\frac{2}{3}*m2=-1[/tex]
[tex]m2=-\frac{3}{2}[/tex]
therefore
the answer is
The slope is equal to [tex]-\frac{3}{2}[/tex]
What is 36 divided by 3/4?
i need help 7th grade 13 + p + - 4 3