A triangle has three sides(4x),(2x-6),and(10-x). Using the variable x, write an expression to define the perimeter
Answer:
5x+4
Step-by-step explanation:
well the perimeter is the sum of all sides
so we have
[tex]P=4x+2x-6+10-x\\\\P=(4x+2x-x)+(-6+10)\\\\P=5x+4[/tex]
Answer:
P = 5x+4
Step-by-step explanation:
To find the perimeter, sum the sides
A triangle has 3 sides
P = 4x+ 2x-6 + 10-x
Combine like terms
P = 4x+2x-x -6+10
P = 5x +5
ANSWER RIGHT NOW PLEASE
Solve for x : 3x - 7 - 2x + 5 = 6
the side elevation of a storage building is mapped on a coordinate grid. which equation could be used to determine the corresponding x value(s) of the roof line when y=8.3?
Answer:
The correct option is;
[tex]8.3 = -0.5 \times \left | x -5 \right | + 9[/tex]
Step-by-step explanation:
The coordinates of the roof are;
Starting point, = (1, 7)
Maximum height = (5, 9)
Maximum range = (9, 7)
The slope of the left portion of the roof = (9 - 7)/(5 - 1) = 0.5
The equation of the left portion of the roof is given as follows;
y - 9 = 0.5 × (x - 5)
y = 0.5 × (x - 5) + 9
The slope of the right portion of the roof = (7 - 9)/(9 - 5) = -0.5
The equation of the right portion of the roof is given as follows;
y - 9 = -0.5 × (x - 5)
y = -0.5 × (x - 5) + 9
However, when x < 5, we have;
[tex]0.5 \times \left | x -5 \right |= -0.5 \times \left | x -5 \right |[/tex]
[tex]\therefore y = 0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left | x -5 \right | + 9 = 0.5 \times \left ( x -5 \right ) + 9[/tex]
When x > 5, we have;
[tex]0.5 \times \left | x -5 \right |> -0.5 \times \left | x -5 \right |[/tex]
[tex]\therefore y = -0.5 \times \left | x -5 \right | + 9 = -0.5 \times \left ( x -5 \right ) + 9[/tex]
Therefore, the equation that applies to both the left and right portion of the roof is [tex]y = -0.5 \times \left | x -5 \right | + 9[/tex]
Which gives the correct option as follows;
[tex]y = 8.3 = -0.5 \times \left | x -5 \right | + 9[/tex]
5 1/4 of what number is 42
Answer:
8
Step-by-step explanation:
5 1/4 =5.25
42/5.25 = 8
8×5.25 = 42
Answer:
5 1/4 of 800 is 42
Step-by-step explanation:
Change 5 1/4 into a decimal = .0525
(.0525)x =42
divide both sides by 0.0525:
x = 42 / .0525
x = 800
5¼% of 800 is 42
Alicia used 4 gallons of gasoline to travel 90 miles. At the same rate, how far can she travel on a full tank that holds 18 gallons?
Answer:
405 miles
Step-by-step explanation:
Step 1:
4 : 90 = 18 : x Proportion
Step 2:
4x = 1620 Multiply
Step 3:
1620 ÷ 4 Divide
Answer:
405 miles
Hope This Helps :)
Solve |x|>-9
Answer choice:
1.) no solution
2.)all reals
3.) {x/x<-9 or x>9}
Answer:
All Real Numbers
Step-by-step explanation:
........
nine hundred fifteen and sixty five thousandths in number form i please please help will ggive points or brainly for right answer!!!!!!!!!!!!!!!
Answer:
It is 0.0091565
hope that helps !
a paint store makes three batches of a color called Sunset Orange using the recipe shown.
1/2 of the paint is red
1/3 of the paint is yellow
1/6 of the paint is white
Each batch contains a different total amount of paint.
Drag numbers to show how much of each color should be used in each batch of Sunset Orange
Answer:
Suppose that the batch has N liters of paint.
we know that the recipe is:
1/2 of red paint
1/3 of yellow paint
1/6 of white paint.
Then, out of the N liters, 1/2 is red.
This means that we must use:
N/2 liters of red paint.
And the same for the other two colors:
N/3 liters of yellow paint
N/6 liters of white paint.
When we add those 3, we have:
(N/2 + N/3 + N/6) = (3*N/6 + 2*N/6 + N/6) = N.
Now, if for example N = 2
Then the batch has 2 liters of paint, this would mean that we must use:
2/2 liters of red paint
2/3 liters of yellow paint
2/6 liters of white paint.
Evaluate the expression: |5-6|
Answer:
1
Step-by-step explanation:
|5 - 6|
|-1| (absolute value changes a negative number to positive)
1
Best of Luck!
Answer:
|5-6| = 1
Step-by-step explanation:
Answer inside the absolute value and you get -1. The aboslute value of -1 is 1.
solve the equation 1-4n+1+3n
What is I=prt formula used for?
Answer:
Simple interest
Step-by-step explanation:
Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
I= interest
p= principle (how much money there was originally)
r= rate of interest
t= time
Can someone help me calculate the scale factor of ∆DEF to ∆ABC?
Solve for u.
|5u + 15| = 10
Answer:
-1 and -5
Step-by-step explanation:
You must account for negative u values (which the abs nullifies).
So [tex]5u+15=10[/tex] and [tex]5u+15=-10[/tex] is what we have to solve for.
As for usual equations, isolate the u variable.
5u + 15 = 10
5u + 15 (-15) = 10 (-15)
5u = -5
[tex]\frac{5u}{5}=\frac{-5}{1}[/tex]
u = -1
Now you can do the same operation for the other equation and you should get u = -5.
Let's make sure we did it right by replacing u with one of our solutions (-1 or -5).
[tex]|5(-1)+15| = 10\\10 = 10[/tex]
That's true. What about the other one?
[tex]|5(-5)+15|=10\\10=10[/tex]
A car is traveling down a highway at a constant speed, described by the equationd=65t, where d represents the distance, in miles, that the car travels at this speed in t hours.
How many miles does the car travel in 1.5 hours?
Answer:
97.5 miles
Step-by-step explanation:
you would take 65 and multiply by 1.5
whats the square rot of 666
Answer:
Around 25.8069758
AB=x+25, AC=26, and BC= 29 + x. Find x.
Answer:
-14Step-by-step explanation:
Given
AB=x + 25, AC=26, BC= 29 + xAs per segment addition postulate
AB + BC = ACSubstituting values
x + 25 + 29 + x = 262x = -28x = -14The lengths of three sides of a triangle are in the ratio 3: 5:
6. The perimeter of the triangle is 28 cm. Find the lengths
of each side of the triangle.
Answer:
3x=6. 5x=10. 6x=12
Step-by-step explanation:
the sides are 6,10,12.
4)
Deborah records the number of minutes late, t, for trains arriving at a station.
The histogram shows this information.
30
207
Frequency
density
107
20
10
15
Number of minutes late
(n) Find the number of trains that Deborah recorded
2
Answer:
a is 25 b is 15 percent
Step-by-step explanation:
Evelyn and Tia are having a bake sale. They have 453 cookies. Each box holds 12 cookies. How many boxes do they need?
Answer:
38 boxes
Step-by-step explanation:
After selling a dozen copies of the daily
newspaper, a newsstand had fewer than
75 copies left. How many copies did the
newsstand have at the beginning of the day?
-inequalities
Multiply. Write answer in simplest form 3/4 x 6/8
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
Write it out: [tex]\frac{3}{4}[/tex] × [tex]\frac{6}{8}[/tex] Simplify 6/8, so it now looks like this: 3/4Re-write the expression: 3/4 × 3/44 × 4 = 163 × 3 = 9Write the new fraction: [tex]\frac{9}{16}[/tex]I hope this helps!
The expression (3/4 x 6/8) can be written as equivalent to 9/16.
What is fraction?
In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example - 5/9. Here, (5) is called numerator and (9) is called denominator.
Given is the following expression -
3/4 x 6/8
The given expression is -
3/4 x 6/8
We can write -
(3 x 6)/(4 x 8)
18/32
Reducing to simple terms, we get -
9/16
Therefore, the expression (3/4 x 6/8) can be written as equivalent to 9/16.
To solve more questions on fractions, visit the link below-
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what is the solution to x + 7 = 27
Answer:
The answer is x=20
Step-by-step explanation:
27-7=20
x=20
Answer:
20
Step-by-step explanation:
you would take 7 and subtract it from 27 to get your answer
100 gallons of water at $1.19 per gallon
Answer:
119
Step-by-step explanation:
just times the numbers
Answer:
100 gallons of water would cost $119
Step-by-step explanation:
Multiply 100 by 1.19 and you get 119.
The cost of 100 gallons of water would be $119.
Solve the system of equations using substitution.
3x + y = 12
y = 3x
Answer:
y=3x⇒equation 1
substitute equation 1 in 3x+y=12
3x+3x=12
6x=12
x=12/6
x=2
hope it helps u!
Explain how to solve 2/3 divided by 1/2 with a tape diagram
The question is : Find EC
Answer:
The answer would be 35.
C) None of the other answers are correct
Step-by-step explanation:
You can find EC by subtracting 49 (EB) from 30 (DB) and adding 16(DC).
The difference between a number and 6 is12
Solve for Q
8q+12=4(3+2q)
Answer:
q = infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
8q + 12 = 4(3 + 2q)
Step 2: Solve for q
Distribute 4: 8q + 12 = 12 + 8qSubtract 8q on both sides: 12 = 12--------------------------------------------------------------
Distribute 4: 8q + 12 = 12 + 8qSubtract 12 on both sides 8q = 8qDivide both sides by 8: q = qWe see here that you can plug in any number q and it would render the equation true. You can also look at it as 2 linear lines that are same, and the same line has infinite amount of solutions.
Step 3: Check
Plug in q to verify it's a solution.
8(0) + 12 = 4(3 + 2(0))
0 + 12 = 4(3 + 0)
12 = 4(3)
12 = 12
8(1) + 12 = 4(3 + 2(1))
8 + 12 = 4(3 + 2)
20 = 4(5)
20 = 20
We also see in the check step that any value q works.
The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.
We have,
To solve for Q in the equation 8q + 12 = 4(3 + 2q), we can follow these steps:
Step 1: Distribute the 4 to the terms inside the parentheses:
8q + 12 = 4 * 3 + 4 * 2q
Simplifying further:
8q + 12 = 12 + 8q
Step 2: Combine like terms on both sides of the equation:
8q + 12 = 12 + 8q
Step 3: Subtract 8q from both sides of the equation to isolate the q term:
8q - 8q + 12 = 12 + 8q - 8q
Simplifying further:
12 = 12
Step 4: Since both sides of the equation are equal, the equation is true for all values of q.
This means the solution is all real numbers.
Therefore,
The solution to the equation 8q + 12 = 4(3 + 2q) is Q can be any real number.
Learn more about equations here:
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Find the slope of the line. On a coordinate plane, a line goes through (0, negative 2) and (2, negative 4). a. -1 c. -2 b. 2 d. 1
Answer: Choice A) Slope = -1
==============================================
Explanation:
The two points given to us are (x1,y1) = (0,-2) and (x2,y2) = (2,-4)
Subtract the y coordinates
y2-y1 = -4-(-2) = -4+2 = -2
Subtract the x coordinates in the same order
x2-x1 = 2-0 = 2
Divide the two results to get the slope m
m = (y2-y1)/(x2-x1)
m = -2/2
m = -1
