Answer:
x = 7
Step-by-step explanation:
First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).
If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.
I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.
3x -3x +1 = 5x -3x -13
1 = 2x -13 . . . . . . . . . . . . combine like terms
Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:
1 +13 = 2x -13 +13
14 = 2x . . . . . . . . . . . . combine like terms
Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.
(1/2)(14) = (1/2)(2x)
7 = x . . . . the solution
__
It is generally a good idea to check your work by seeing if your solution value satisfies the equation:
3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation
21 +1 = 35 -13
22 = 22 . . . . . . x = 7 is the solution
_____
Additional comment
By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...
-2x +1 = -13
Subtracting 1 would give
-2x = -14
and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.
The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?
Answer:
12
Step-by-step explanation:
Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
Answer:
B. 16°Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
x = 16
Hence the value of x is 16°
Identify the intersection of line l line m
Evaluate 27 x 1/3 to the third power.
Answer:
If i'm not mistaken its 1
Step-by-step explanation:
A grocery store sells jelly beans in the bulk section for $2.75 a pound. If Wanda buys 1.8 pounds, how much will it cost?
Answer:
$4.95
Step-by-step explanation:
If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.
Need help with these
Answer:
a. 0.07
b. 0.17
c. 0.333
d. 0.417
WILL GIVE BRAINLIST Someone solve number 4 for me really quick must show work
Answer:
1/3
Step-by-step explanation:
3 1/3 divided 10 = 1/3
Write equation of the line that passes through (4, 2) and (7,20)
which is the correct answer?
Answer:
105°
Step-by-step explanation:
The measure of a right angle is = 90° if the original angle is 15° less than right angle than 90 + 15 = 105°
Which of the following expressions is equivalent to 2x + y − 4y + 8?
a) 2x − 3y + 8
b) 3x − 4y + 8
C) 2x + 3y + 8
D) 2x − 4y + 8
Answer:
a) 2x - 3y + 8
Step-by-step explanation:
Problem: 2x + y - 4y + 8
Solve: y - 4y
Put it back into the expression: 2x - 3y + 8
I need Help Asap Please Please
Answer:
C
Step-by-step explanation:
7.83mm= km (using the metric staircase)
Answer:
7.83 mm to km
7.83* 10^-6 or 7.83/10^6
0.00000783 km
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?
Given :
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .
In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.
To Find :
How much will it cost to carpet the bedroom.
Solution :
Length of bedroom , l = 5.5 × 3 = 16.5 ft.
Width of bedroom , w = 3.25 × 3 = 9.75 ft.
SO, area of bed room is :
[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]
Now, cost to carpet the bedroom is :
[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]
Hence, this is the required solution.
7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.
Answer:
Error was at the fourth line: 12 = 16x
Correct solution: x = ½
Step-by-step explanation:
Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.
10 - 2x = 19x + 2 - 5x (given)
10 - 2x = 19x - 5x + 2
10 - 2x = 14x + 2
Add 2x to both sides
10 - 2x + 2x = 14x + 2 + 2x
10 = 14x + 2x + 2
10 = 16x + 2
Subtract 2 from both sides
10 - 2 = 16x + 2 - 2
8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)
Proceeding further with our calculation, we would divide both sides by 16
8/16 = 16x/16
½ = x
x = ½.
Write five hundred twenty-five thousandths as a decimal number
Please help
Answer:
.525
Step-by-step explanation:
Five hundred twenty-five thousandths is a decimal number will be 0.525.
What is a decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-
Five hundred twenty-five thousandths = 0.525
Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.
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A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?
Answer:
Dryer cost $475; Washer cost $382
Step-by-step explanation:
For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).
We are given the washer and dryer cost $857 together.
x + y = 857
We are also given that the washer cost $93 less than the dryer.
x = y - 93
So to find the cost of the dryer, we simply need to find the value of y.
x + y = 857
x = y - 93
( y - 93 ) + y = 857
2y - 93 = 857
2y = 950
y = 475
So now we have the value of the dry to be $475. We can check this by simply plugging in the value and see if it makes sense.
x + y = 857
x + 475 = 857
x = 382
And check this value:
x = y - 93
382 ?= 475 - 93
382 == 382
Therefore, we have found the values of both the washer and the dryer.
Cheers.
The cost of the dryer is $475 and the cost of the washer is $382.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a washer and a dryer cost $857 combined.
Let the cost of dryer be x.
The washer costs $93 less than the dryer.
Then, the cost of washer will be x-93
So, x+x-93=857
2x=857+93
2x=950
x=$475
x-93=475-93
= $382
Hence, the cost of the dryer is $475.
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s=gr-5gc³, solve for g
Answer:
g=r/1+5c3
Step-by-step explanation:
............ ........
What is 200 ÷ 6.24 How do you work this out
HELPP PLEASEEEE THANK YOUUU MU FRIEND!
Answer:
co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1
Step-by-step explanation:
Describe and correct the error in finding the value of the power.
8 to 3power= 8x3 = 24
The exponent is written as a ______,
but it should have been used to indicate the number of
times the ______
is used as a factor.
The answer should be 8 to 3 power =____=____.
Answer:
regular number; base
Step-by-step explanation:
Answer:
1. Multiplication
2. 8
3. 8^3=512
please help meeeee asappp
1. 81
2. 2 4/25
3. 2⁵×3
4. 2,040
A car Is traveling at a speed of 90 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will
the car travel in 2 minutes? Do not round your answers.
[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]
[tex]\hrulefill[/tex]
To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.
[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]
To find how far the car will travel in a certain time, just multiply the speed by the time.
[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]
[tex]\large\boxed{3\ \text{km}}[/tex]
S1. Three numbers are in the ratio of 2:3:4. The sum of their cubes is 3,34,125. Find the numbers.
Answer:
Step-by-step explanation:
sum of their cubes=0.334125
The ratio of three numbers is 2:3:4.
Let the numbers be 2x, 3x and 4x.
Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3
(8x^3) + (27x^3) + (64x^3) = 99x^3
99x^3 = 0.334125
x^3 = (0.334125) / 99
x^3 = 0.003375
x^3 = (0.15)^3
x = 0.15
Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6
Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).
Answer:
(x, y) = (-6, 3)
Step-by-step explanation:
Maybe you want to solve ...
y = -2x -92x +3y = -3Use the first equation to substitute for y in the second:
2x +3(-2x -9) = -3
2x -6x -27 = -3
-4x = 24 . . . . . . . . . add 27, simplify
x = -6 . . . . . . . . . . . divide by -4
y = -2(-6) -9 = 12 -9 = 3
The solution is (x, y) = (-6, 3).
Find Cos N 73 48 E 55
Answer:
1. cos73 is 0.29
2. cos48 is 0.67
3. cos55 is 0.57
These are the answers for cos. Hope this helps!
1) What is the absolute value of 50?
Answer:
50
I hope this helps!
Find the equation of the line with slope 7 which goes through the point (-2,-9). Give your answer in slope intercept form y=mx+b
Answer:
I need the to solve dis question
Answer: y=7x+5
Step-by-step explanation:
In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)
Answer:
I'm fairly certain the answer is A, The first one
explanation:
Ray OB is between rays OA and OC
How many ounces (oz) are 1 pound (lb)
Please answer this!
Who invented maths?
Answer:
ancient greek invented math