[tex]2x + 5 = 21[/tex]
Subtract both sides 5
[tex]2x + 5 - 5 = 21 - 5[/tex]
[tex]2x = 16[/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]
[tex]x = 8[/tex]
Answer:
8
Step-by-step explanation:
To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.
⇒ [tex]2x + 5 = 21[/tex]
⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]
⇒ [tex]2x = 16[/tex]
The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.
⇒ [tex]2x = 16[/tex]
[Cooeficient of x is 2]
⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]
⇒ [tex]x = \frac{16}{2} = 8[/tex]
In conclusion, the value of the "x" variable is 8.
Mrs. Miller is measuring fabric for costumes for the school's musical. She
needs 10.5 meters of fabric. She has 140 centimeters of fabric. How much more
fabric does Mrs. Miller need?
Answer:
9.1 meters or 910 centimeters
Step-by-step explanation:
10.5 meters = 1050 centimeters
1050 - 140 = 910 centimeters
Will give 20 points for who answer!
Answer:
Equation: y + 1 = -2(x - 0) OR y + 3 = -2(x - 1)
Slope: -2
Y-intercept: (0, -1)
Step-by-step explanation:
First, create an equation in point-slope form using ONE point. Using (0,-1):
y - y1 = m(x - x1)
y + 1 = m(x - 0)
Then, use both points to find slope:
[tex]\frac{y2-y1}{x2-x1} =m[/tex]
[tex]\frac{-1-(-3)}{0-1}[/tex]
[tex]\frac{2}{-1}=m=-2[/tex]
Then, plug the slope into the equation and rewrite in the form of y=mx+b:
y + 1 = (-2)(x - 0)
y + 1 = -2x
y = -2x - 1
-1 = b OR (0, -1)
Final answers:
Equation: y + 1 = -2(x - 0) OR y + 3 = -2(x - 1)
Slope: -2
Y-intercept: (0, -1)
I hope this helps!
PLEASE SOLVE. I NEED IT TO BE CORRECT!
Answer:-4,000/ -20
Step-by-step explanation:
hopefully this is right, so you have multiple choice and if so is this up their?
Answer:
198
Step-by-step explanation:
for the given equation, enter the value of B when x =10. Bx=20
[tex]b = 2[/tex]
Step-by-step explanation:
[tex]bx= 20[/tex]
insert x=10
[tex]b(10) = 20[/tex]
divide both sides by 10
[tex]b(10) \div 10 = 20 \div 10[/tex]
[tex]b = 20 \div 10[/tex]
simplify
[tex]b = 2[/tex]
Solve for X please! Include small explanation as-well
Answer:
x = 26
Step-by-step explanation:
Take the sides in proportion.
7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈
square units
Using the Heron's formula, the area of the parallelogram is 36.7 square units.
How to use Heron's formula?Heron's Formula = √[s(s - a)(s - b)(s - c)],
where,
a, b, and c = side of the triangles = semi perimeter of the triangleArea of the parallelogram = 2(area of triangle)
Therefore,
The area of the triangle can be found using Heron's Formula
a = 5 units
b = 8 units
c = 11 units
s = 5 + 8 + 11 / 2 = 12 units
area of triangle = √[12(12-5)(12 - 8)(12 - 11)]
area of triangle = √12 × 7 × 4 × 1
area of triangle = √336
area of triangle = 18.3303027798
area of triangle= 18.33 units²
Therefore,
area of parallelogram = 2(18.33) = 36.6606055596
area of parallelogram = 36.7 unit²
learn more on Heron's formula here:https://brainly.com/question/12771530
The correct answer is 36.7 square units
Math
I NEED THIS RIGHT NOW
Answer:
B
Step-by-step explanation:
If the numerator is one, the denominator is going to be the same value as a normal positve interger.
Answer:
A
Step-by-step explanation:
If z = 10, y = 9, and x = 8, it would fit the fact that z > y and y > x.
If we divide 1 by the variables, then it would be 1/10, 1/9, and 1/8. Imagine this as a pie. 1/8 would be the biggest slice then because it is cut into less pieces. 1/9 would be the second biggest slice because it is cut into less pieces than 1/10. Therefore, A is the correct answer.
I hope this helps and please mark this as brainliest!
Solving the System of Equations
Examine the system of equations.
4.2x + 8y = 41.8
–4.2x + y = 19.4
Use the linear combination method to solve the system of equations. What is the value of x?
–3
–1
1.7
6.8
Answer:
x= -3
Step-by-step explanation:
Solve the following system:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
In the second equation, look to solve for y:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
y - 4.2 x = y - (21 x)/5 and 19.4 = 97/5:
y - (21 x)/5 = 97/5
Add (21 x)/5 to both sides:
{8 y + 4.2 x = 41.8
y = 1/5 (21 x + 97)
Substitute y = 1/5 (21 x + 97) into the first equation:
{4.2 x + 8/5 (21 x + 97) = 41.8
y = 1/5 (21 x + 97)
4.2 x + (8 (21 x + 97))/5 = ((168 x)/5 + 776/5) + 4.2 x = 37.8 x + 776/5:
{(37.8 x + 776/5) = 41.8
y = 1/5 (21 x + 97)
In the first equation, look to solve for x:
{37.8 x + 776/5 = 41.8
y = 1/5 (21 x + 97)
37.8 x + 776/5 = (189 x)/5 + 776/5 and 41.8 = 209/5:
(189 x)/5 + 776/5 = 209/5
Subtract 776/5 from both sides:
{(189 x)/5 = -567/5
y = 1/5 (21 x + 97)
Multiply both sides by 5/189:
{x = -3
y = 1/5 (21 x + 97)
Substitute x = -3 into the second equation:
Answer: {x = -3, y = 34/5
Answer:
A) -3
Step-by-step explanation:
The mid point of P (10,4) and Q (-4, -6) is: *
Answer:
（-1,3）
Step-by-step explanation:
use x1+ x2 /divide by 2 .BCOS of u need the midpoint of the straight line
Grayson spots an airplane on radar that is
currently approaching in a straight line,
and that will fly directly overhead. The
plane maintains a constant altitude of
7225 feet. Grayson initially measures an
angle of elevation of 19 to the plane at
point A. At some later time, he measures
an angle of elevation of 39° to the plane at
point B. Find the distance the plane
traveled from point A to point B. Round
your answer to the nearest tenth of a foot
if necessary.
Using the slope concept, it is found that the distance traveled from point A to point B was of 12060.8 ft.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
At point A, the vertical change is of 7225 feet, with an angle of 19º, hence:
[tex]\tan{19^\circ} = \frac{7225}{x_A}[/tex]
[tex]x_A = \frac{7225}{\tan{19^\circ}}[/tex]
[tex]x_A = 20982.9[/tex]
At point B, the vertical change is of 7225 feet, with an angle of 39º, hence:
[tex]\tan{39^\circ} = \frac{7225}{x_B}[/tex]
[tex]x_B = \frac{7225}{\tan{39^\circ}}[/tex]
[tex]x_B = 8922.1[/tex]
The distance in feet is given by:
[tex]d = x_A - x_B = 20982.9 - 8922.1 = 12060.8[/tex]
More can be learned about the slope concept at https://brainly.com/question/18090623
what is 326x2,419
show your work
Answer:
=788594
Step-by-step explanation:
326 x 2,419
=788594
3/5 plus 1/2 in simplest form
3/5 + 1/2
= 6/10 + 5/10
= 11/10
= 1(1/10)
= 1.10
Please help me calculate the area of all the grey parts of this shape :)
help me, Sofia practices swimming and has every day for three weeks. the first day she trains 15 minutes and each day she trains 5 minutes more than the day before She constructs the sequence for the first week of training and determines the elements of the sequence and the type.
Answer:
20
Step-by-step explanation:
you add 15 and 5
Which of the following numbers is rational?
Answer:
B is the answer
Step-by-step explanation:
A is a normal number
C is division along with D
So it is B
If P = (4,7), Find:
r 180° (P)
([?], [])
Answer: (-4,-7)
Step-by-step explanation:
please help gotta get this gradae up
Answer:
its Y (bottom left graph)
Step-by-step explanation:
i graphed the function on desmos and matched it
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answer:
[tex]\sqrt{81}[/tex] = 9 :)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2.
In this case, a = 12, c = 15, and we do not know the value of "b."
Let's solve by plugging the values in!
12^2 + b^2 = 15^2
144 + b^2 = 225
Subtract 144 on both sides:
b^2 = 81
b = sqrt 81
b = 9
A Lorry travels for 4 hours at a speed of 58km/h . Work out the travel distance
Answer: The answer is 9.00988 mi/h
Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour
A garden store purchased a lawn mower and marked it up 160% from the original cost of $82.67. A week later, the store placed the lawn mower on sale for 10% off. What was the discount price?
The discount price of the lawn mower purchased by the store is $193.45.
What is the discount price?The first step is to determine the selling price of the lawn mower.
Selling price = ( 1 + 1.60) x $82.67 = 214.94
Now determine the price after the discount has been applied.
Discount price = (1 - 0.1) x 214.94 = $193.45
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20
Answer:
y=12
Step-by-step explanation:
y=k*x
3=5*k
k=3/5
y= (3/5)*x
y=(3/5)*20
y=12
anyone knows the answer?!
Answer:
The third option
Step-by-step explanation:
the lowest point on function 1 is -7
the lowest point on function 2 is -9
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS
Answer:
Set both equations equal to 20
4x > 20
-5y> 20
solve by divideing
x >5
y> -4
PLEASE HELP ME. I NEED IT TO BE SOLVED.
the correct answer is 21
Answer:
21 (this is given in the simplest form)
help y’all!! it’s gradpoint!! this is the last question & i’ve failed this test so many times :(
Answer:
just study study study
Step-by-step explanation:
you will learned
Which fraction below represents a terminating decimal?
A.
B.
C.
D.
Answer:
3/10
Step-by-step explanation:
The fraction, 1/12, can be written as 1/4 * 1/3. Since we know that 1/3 = 0.333333... and it doesn't terminate, we know that 1/12 doesn't terminate. Similarly 2/9 = 2/3*1/3 and 2/3 = 2*1/3, and neither of these fractions terminate. But, when dividing 3/10, you get 0.3, which terminates.
the maximum value of 4x - 6 is 54
Answer:
x=15
Step-by-step explanation:
1. Solve
4x-6=54
4x-6+6=54+6 <=== Add 6 to both sides
4x=60
4x÷4=60÷4 <=== divide by 4 on both sides
x=15
2. Check
4x15-6=54 <=== Replace x with 15 to check
60-6=54 <=== 4x15 equals 60
54=54 <=== 60-6 equals 54 and 54=54
so it is correct!!
please help me..... asap
Answer:
collect a sample bacteria from the lake
Answer:
A- collect a sample of bacteria from the lake.
Step-by-step explanation:
It will not help to get bacteria from a RIVER since the scientist wants to learn about the LAKE. Also, getting all the lake bacteria will cause no more bacterial life to thrive, which is bad- but just a single bacteria cell isn't good either since we don't know how it reproduces and one is usually not enough.
What is the sum (2 x 1016) + (7 1016) in scientific notation
Answer:9x1016
Step-by-step explanation:
when adding or subtracting in standard form (aka scientific notation), the powers of 10 need to be the same. If they are just add the numbers and keep the same power of 10
#2xx10^(16)+7xx10^(16)
= ( 2 + 7 ) × 10 16
9 × 10 16
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.
Answer:
Domain: -2≤ x≤ 0
Range: -2≤ x≤ 2
The relation is a Function
Step-by-step explanation:
The Domain is all the x values.
All the x values are either equal to or greater than -2, and less than or equal to =-0
The Range is all the y values.
Apply the same logic as the domain.
A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function