Answer:
14=7(2x-4)
0r, 14/7 = 2x-4
or, 2= 2x-4
0r,2x= 6
or x=3
14=7(2x-4)
14=14x -28
14x=42
x=42/14=3
Method 1
Divide both sides by 7 first to get
14 = 7(2x-4)
14/7 = 7(2x-4)/7
2 = 2x-4
Then add 4 to both sides
2+4 = 2x-4+4
6 = 2x
2x = 6
Finally, divide both sides by 2
2x/2 = 6/2
x = 3
which is the final answer
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Method 2
Distribute the 7 through to each term in the parenthesis
14 = 7(2x-4)
14 = 7*2x + 7*(-4)
14 = 14x - 28
Then we follow similar steps as done earlier. Add 28 to both sides
14+28 = 14x-28+28
42 = 14x
14x = 42
Then divide both sides by 14 to fully isolate x
14x/14 = 42/14
x = 3
Either way we get the same result. As to which method you pick (if you could only choose one), its up to you based on whichever you find easier.
The basic idea with either method is that we follow PEMDAS in reverse to undo everything happening to x. This way we fully isolate it.
----------------
Checking the answer:
Plug x = 3 into the original equation. Simplify to get
14 = 7(2x-4)
14 = 7(2*3-4)
14 = 7(6-4)
14 = 7*2
14 = 14
This confirms the answer. As you can see, if we know the value of x, we use PEMDAS to simplify both sides. But if we don't know x, and want to find it, then we follow PEMDAS in reverse.
Are the ratios 3:9 and 21:27 equivalent? Why or why not?
Answer:
Not equivalent
Step-by-step explanation:
Given:
3:9 and 21:27We see that
21:27= 7:9Comparing:
3:9 < 7:9They have same denominator but different numerator, hence they are different
Answer: No
Step-by-step explanation:
No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers, 7 and 9, are not the same so therefore both ratios are not equivalent.
What is 39,404,000 expressed in scientific notation?
Answer:
3.9404×10^7
Im not sure how to explain it.
How does the absolute value take away negative signs
Step-by-step explanation:
the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!
Answer:
the absolute value of negative number makes it a positive number
(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work
Answer: 0
Step-by-step explanation:
To find the slope, you would need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{1-1}{-3-2} =\frac{0}{-5} =0[/tex]
The slope is 0, meaning the line is horizontal.
Question: 0.4p + 1.7 < 3.3
Answer:
p < 4
Step-by-step explanation:
We are given 0.4p + 1.7 < 3.3.
We solve it like a normal equation by isolating the variable p. Subtract 1.7 from both sides:
0.4p + 1.7 - 1.7 < 3.3 - 1.7
0.4p < 1.6
Divide both sides by 0.4:
p < 1.6/0.4
p < 4
Thus, our possible solutions are p < 4.
~ an aesthetics lover
How much can 2 go into 80
Answer:
40
Step-by-step explanation:
80/2= 40
A canoe rental service charges a transportation fee and $8 dollars an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost for was $68.
Answer:
transportation fee= $20
Step-by-step explanation:
Giving the following information:
A canoe rental service charges a transportation fee and $8 an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost was $68.
To calculate the transportation fee, first, we need to calculate the total rent cost for 6 hours.
Rent cost= 6*8= $48
Now, the transportation fee:
transportation fee= 68 - 48
transportation fee= $20
How do you solve this math problem?
5 = 12 + 4
Express in algebraic terms: five less than four times a number.
Answer: 4n-5
n= Number
Help me with this pls
Answer:
x=55, and y=62.5
Step-by-step explanation:
The reason why x=55 is because x and the angle 125 degrees form a linear pair (180 degrees) Hence,
x+125=180
=> x=180-125
=> x=55
Now coming to y, As we see y and 125 do not form a linear pair, so we know that x=the top angle of the triangle in which angle y is there. And with the information we also find that the triangle in which y is present is an isosceles triangle, so the other 2 angle than the top angle are equal, which are y and another angle which is also y as they are the same degrees. Hence, we know x=55, then,
55+2y=180(As the angles in a triangle sum up to 180 degrees)
=> 2y=180-55
=> 2y=125
=> y=125/2
=> y=62.5
Hope my answer helps, Thank you!
Nate withdraws $40 from his checking account each dayWrite and solve a multiplication equation to find how long it will take him to withdraw $680
x = # of days
$40x = $680
Divide each side by $40
x = 17 days
Choose Yes or No to tell if the digit in the ones place is 110 the value of the digit in the tens place.
4,099
Choose...
4,110
Choose...
5,909
Choose...
5,011
Choose...
Answer:
No, no, no, no
Step-by-step explanation:
Is -7 + 28 positive or negative?
Answer:
Positive
Step-by-step explanation:
-7+28=21
21 is positive
Answer:
Positive
Step-by-step explanation:
-7 + 28 = 21
If 3x = 27, then x =
Answer:
x = 9
Step-by-step explanation:
3x = 27
3/3x = 27/3
x = 9
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2
Answer:
Step-by-step explanation:
The question is incomplete. Find the complete question a=below;
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?
The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;
h(t)=40t-16t2
0 h(t)=40t-16t2
40t-16t² = 0
add 16t² to both side
40t-16t²+16t² = 0+16t²
40t = 16t²
40 = 16t
divide both sides by 16
t = 40/16.
t = 2.5secs
Hence the golf ball hit the ground after 2.5secs
Answer:
when the ball is hit as 0 second it has a height of 0 feet (because it hasnt done anything yet). The ball's height increases until it reaches its maximum height of 40 feet after 1.25 seconds (40t= 2.5/2). The balls height then decreases until it reaches 2.5 seconds after it was hit.
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
Volume of a cube = (edge)^3
In this problem,
Volume = 216in^2
Edge = ?
Let's plug our values into the formula above.
216in^3 = (edge)^3
Take the cbrt of both sides.
6in = edge
The length of each edge = 6in
Answer:
[tex]\boxed {\tt 6 \ centimeters}[/tex]
Step-by-step explanation:
The volume of a cube can be found using the following formula:
[tex]v=s^3[/tex]
where [tex]s[/tex] is the side length, or edge.
We know the volume is 216 cubic inches. We can substitute 216 cm³ in for [tex]v[/tex], the volume.
[tex]216 \ cm^3 = s^3[/tex]
We want to find the side length. Therefore, we must isolate the variable, [tex]s[/tex].
s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.
[tex]\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{216 \ cm^3} =s[/tex]
[tex]6 \ cm=s[/tex]
The length of each edge of the cube is 6 centimeters.
Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2. Write in simplified form, giving reasons. Someone help please?
easiest thing to do is combine like terms. There are 9 2's, which means 9(2) which equals 18. Now for the X's. There are 9 X's meaning (9)x which is 9x. This all makes up
18+9x
hope this helps
Answer:
9x +18
Step-by-step explanation:
What is the domain of the function y=3 sqt x-1
Answer:
[1,∞) - All real numbers greater than or equal to 1
Step-by-step explanation:
The answer is [tex]x\geq 1[/tex] or 1, ∞
Does anyone know what [-2/3 * (-5/7)] * (9/4) is?
Find the distance between the points (4,10) and (0,0) the answer must be a whole number
Answer:
10.77
Step-by-step explanation:
√(4-0)²+(10-0)²
√4²+10²
√16+100
√116
10.77
Answer:
11
Step-by-step explanation:
For this problem, we simply need to apply the distance formula:
distance = sqrt[ (y2 - y1)^2 + (x2 - x1) ]
distance = sqrt[ (10 - 0)^2 + (4 - 0)^2 ]
distance = sqrt[ (10)^2 + (4)^2 ]
distance = sqrt[ 100 + 16]
distance = sqrt [ 116 ]
distance ~= 10.77
The approximate distance rounded to a whole number is 11.
Cheers.
Please Help!!! 10 Points! Brainliest Answer
Answer:
120 degrees
Step-by-step explanation:
It says ABC is similar to MNO, though the shape is smaller, the angle is the same. So the measure of N is 120 degrees
Hope this helps :)
(a) A color printer prints 16 pages in 9 minutes.
How many minutes does it take per page?
| minutes per page
Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
Answer:
2x-9y=-51
2x-3y=-9
subtract question ii from i we get
-6y = -42
y =7
put value of y in 1
2x - 63 = -51
2x= 8
x=4
What is the slope of the equation: x = -2
Answer:
undefined
Step-by-step explanation
it is a vertical line and has no defined slope
8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER
Answer:
57.76 in²
Step-by-step explanation:
Plug in 4.6 as x in the equation and solve:
m(x) = x² + 6x + 9
m(4.6) = (4.6)² + 6(4.6) + 9
m(4.6) = 57.76
So, the area of the mat is 57.76 in²
What is 5.6666 as a fraction
Please Help Thank You So Much
This is inequalities
Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x
You don't need a graph to solve this.
I kinda need this today.
Answer:
all the possible values of y - x are 4 and 5
all possible values of x/y = 1
Bill eats 3 slices of cornbread for breakfast that contain a total of 543 calories. How many
calories does each slice contain?
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options. 2 4xy 12x 24 44y
Answer:
4xy and 12x
Step-by-step explanation:
In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options
Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.
This makes 24 and 44y out of the way.
Now let’s look at 4xy and 12x. Let’s insert them into the blank space;
36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)
and 36x^3-22x^2-12x = 2x(18x^2-11x-6)
The reason why we will not use 44y and 24 is because 2x is not a factor of either.
Answer:
Answer:4xy and 12x
Step-by-step explanation:
The could both be a product of 2x
How do I solve this? Please show your work.
Answer:
24 cm²
Step-by-step explanation:
Volume of a prism is equal to the area of the base times the height of the prism.
V = Ah
The volume is 120 cm³, and the height is 5 cm. Therefore, the area of the base is:
120 cm³ = A (5 cm)
A = 24 cm²