Answer:
[tex]x = \frac{2}{539} [/tex]
Step-by-step explanation:
[tex] \frac{x + 2}{3x} = 180[/tex]
[tex]180(3x) = x + 2[/tex]
[tex]540x = x + 2[/tex]
[tex]540x - x = 2[/tex]
[tex]539x = 2[/tex]
[tex] \frac{539x}{539} = \frac{2}{539} [/tex]
[tex]x = \frac{2}{539} [/tex]
Which expression is equivalent to -3x+9?
A.-3(x+9)
B.-3(x-3)
C.-3(x+12)
D.3(-x-3)
Explanation:
Use the distributive property to pull out the -3
When going in reverse like this, we divide each term by -3
-3x/(-3) = x
9/(-3) = -3
So -3x+9 = -3(x-3)
We can verify this by multiplying the -3 outside with each term inside
-3 times x = -3x
-3 times -3 = 9
This shows how -3(x-3) turns into -3x+9 again.
Daddy spends 50% of his salary on rent, 1/4 of the remainder on groceries and keeps the rest. If he keeps $4800, how much is his salary
Answer:
$19,200
Step-by-step explanation:
Daddy spent 3/4 of his salary on things.
This means that you can multiply 4,800*4 to find the salary as 4,800 is 1/4 of the total salary.
4,800*4=19,200
In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC.
m
SHOW PROPER WORK
Vector V is shown in the graph below.
HELP!
Which of the following represents the linear form of v?
v= -6i -8j
v= -8i-6j
v= 6i +8j
v= 8i +6j
Answer:
v = -8i - 6j
Step-by-step explanation:
The starting point is (9, 9)
The direction of the vector is the direction of the arrowhead.
The i is the horizontal component.
The j is the vertical component.
Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).
Therefore, v = -8i - 6j
Answer:
(b) v = -8i -6j
Step-by-step explanation:
The unit vectors in the x- and y-directions are i and j, respectively.
The vector v shown in the graph extends from x=9 to x=1, or (1 -9) = -8 units in the x-direction.
It extends from y=9 to y=3, or (3-9) = -6 units in the y-direction.
Represented as a sum of x- and y-vectors, that is ...
v = -8i -6j
The area of a computer screen is 108 in with a side length of 12. What is the area of a tv screen similar to the computer screen with a side length of 20 in?
Answer:180in squared
Step-by-step explanation:
108 divided by 12 is 9, so 20*9= 180
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Volume is the measure of 3 dimensional space. The volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
What is the volume of a cylinder?Suppose that the radius of considered cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
For this case, we're specified that:
Radius of the considered cylinder = r = 3 unitsThe height of the considered cylinder = h= 6 units.Thus, the volume of this cylinder is:
[tex]V = \pi r^2 h = \pi (3)^2 (6) = 54\pi\: \rm unit^3[/tex]
Thus, the volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.
Learn more about volume of cylinder here:
https://brainly.com/question/12763699
#SPJ1
A number cube is rolled 450 times and the
results recorded as follows: There were
75 ones, 80 twos, 69 threes, 78 fours,
77 fives, and 71 sixes. What is the
experimental probability of rolling a two or a
three?
[A] 0.33 [B] 0.57 [C] 0.43 [D] 0.67
Answer:
A.) 0.33
Step-by-step explanation:
Nina’s garden is 4 1/5 meters long and 3/10 meter wide. What is the area of Nina’s garden
Answer:
12.6
Step-by-step explanation:
1/5 = .2
3/10 = .3
4.2 x .3 = 12.6
©Simplify fully
8x²y
4x
:))
Answer:2xy
Step-by-step explanation:
Jodi sorted shapes into two groups based on the types of angles they
appear to have, as shown below.
Both shapes in group A and group B are inscribed in a circle
Shapes present in group A and group BIn group A and group B, we have different shapes present in them.
In group A, we have two shapes that are inscribed in a circle.
In group B, what both shapes have in common is that they're inscribed in a circle.
The shape below belong to a rectangle.
Both shapes have a common factor which are
They are both inscribed in a circleLearn more on shapes here;
https://brainly.com/question/25965491
a taxi costs 3.00 for every mile traveled, to enter a cab the is an initial charge of 4.50. write an equation where t represents the total cost of the cab ride and m represents the number of miles traveled
Answer:
[tex]t = 4.50 + 3.00m[/tex]
The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7 = 13 + 2x Step 3. 6x − 2x = 13 + 7 Step 4. 4x = 20 Step 5. x = 5 In which step did the student first make an error and what is the correct step? (1 point) Step 2, 9x − 12 = 13 + 2x Step 2, 9x − 4 = 2(6 + x + 3) Step 3, 6x + 2x = 13 + 7 Step 3, 6x − 2x = 13 − 7
Answer:
(a) Step 2. 9x -12 = 13 +2x
Step-by-step explanation:
The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.
In Step 2 of this "solution", the factor of 3 is erroneously added to each coefficent inside parentheses. It should be multiplied.
Correct Step 2: 9x -12 = 13 +2x
__
The rest of the solution should be ...
Step 3: 9x -2x = 13 +12
Step 4: 7x = 25
Step 5: x = 25/7
___
Check
3(3(25/7) -4) = 8 + 2(25/7) +5
3((75 -28)/7) = 13 +50/7
141/7 = 141/7 . . . . . answer checks OK
The dimensions of a rectangle are shown. What is the perimeter, in units of the rectangle?
Answer:
the perimeter, in units of the rectangle is 16x + 20
Step-by-step explanation:
perimeter of a rectangle be is 2(L + B)
p = 2(L + B)
L = 5x + 2
B = 3x + 8
p = 2L + 2B
p = 2(5x + 2) + 2(3x + 8)
p = (10x + 4) + (6x + 16)
p = 10x + 4 + 6x + 16
Collect like terms
p = 10x + 6x + 4 + 16
p = 16x + 20
Answer: 16x+20
Step-by-step explanation:
perimeter of a rectangle is the length of all sides added together.
(3x+8)+(3x+8)+(5x+2) + (5x+2)
combine like terms
16x+20
URGENT
What will five 100's do to a grade of 92%? How many points will it bring my grades up by?
Answer:
See below ~
Step-by-step explanation:
Given
Mean = 92%Solving
Add 5 points of 100% and divide by 6 (total entries)92 + 5(100) / 6592/698.67%Solution
Five 100s will bring up the 92% up by 6.67% to 98.67%Work out the value of x
Answer:
Step-by-step explanation:
Add 87° + 63° = 150°
then set up this equation:
x + 150° = 180°
x + 150° = 180°
- 150° = -150°
x = 30°
When you add 87 + 63 + 30
it should give you 180° if it doesnt equal 180° then recheck your work.
This screenshot should help you
Stay Safe GL!
PLS HELP!!!
I WILL GIVE BRAINLIEST
Find x.
31°
40°
36°
For a project, Carlos must provide one cut-out paper model of each type of triangle: acute, right, and obtuse. He sketches each triangle on graph paper before making the models.
On a coordinate plane, 3 triangles are shown. One triangle has points (3, 3), (3, 6), (6, 3). Another triangle has points (5, 7), (4, 10), (7, 8). Another triangle has points (7, 1), (7, 6), and (9, 4).
What is the total area of the three triangles?
12.5 square units
13 square units
13.5 square units
14 square units
Answer:
Its 12.5 squares eric deleted my answer!
Step-by-step explanation:
Answer: B. 13
Step-by-step explanation: On Edge!!!!
Find the rate of change for f(x)=x^2-8x+15 from x=0 to x=4
Answer:
-4
Step-by-step explanation:
Find the rate of change for f(x) = x² - 8x + 15 from x = 0 to x = 4
The rate of change is the rate at which a variable changes over a specific period of time.
Averate rate of change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
First, we need to find the functions for when x = 0 and when x = 4:
For x = 0
f(x) = x² - 8x + 15
f(0) = 0² - 8(0) + 15
f(0) = 0 - 0 + 15
f(0) = 15
For x = 4
f(x) = x² - 8x + 15
f(4) = (4)² - 8(4) + 15
f(4) = 16 - 32 + 15
f(4) = -16 + 15
f(4) = -1
Averate rate of change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
A = [tex]\frac{f(4)-f(0)}{4-0}[/tex]
A = [tex]\frac{-1-15}{4-0}[/tex]
A = [tex]\frac{-16}{4}[/tex]
A = [tex]-4[/tex]
Therefore, the rate of change from x = 0 to x = 4 is -4.
Hope this helps!
Write expression that is equivalent to 1/4 a -3
A gallon of gas costs $3. 05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0. 5 hours to get to work. The highway has one $1. 25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0. 5 hours B. 1 hour C. $1. 25 per car D. $3. 05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer: using the street route, he drove for half hour/0.50hr or 30minutes. Hence he covered 27miles on that trip, deducted from 54miles per hour for 0.5hr.Paid a toll fee of $1.25 which is the cost per car at the toll.
Step-by-step explanation: Choose all that apply A CH
You a roll a 6-sided die two times.
What is the probability of rolling a number greater than 4 and then rolling a 5?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
First, let’ find the probability of rolling a number greater than a 4The scorers that satisfy this are 5 & 6This is a [tex]\frac{1}{3}[/tex] chance of getting a 5 or a 6AND means × when it comes to probabilityChance of rolling a 5 is [tex]\frac{1}{6}[/tex]Multipy the two fractions together[tex]\frac{1}{3}\times\frac{1}{6}=\frac{1}{18}[/tex]The point A(-7, 3) is reflected over the point (-4, 5) and its image is point B.
What are the coordinates of point B?
20 points.
(7, 3) is the answer I believe
Help!! Algebra 1 math equation
Answer:
6
Step-by-step explanation:
The answer is 6. You're looking for the rate of change in the number of DVD's. from 9,15,21,27, each time you add 6, so +6 is your constant variation.
what is the LCM of 24 and 54?
Answer: 216
Step-by-step explanation:
The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, we need to find the multiples of 24 and 54 (multiples of 24 = 24, 48, 72, 96 . . . . 216; multiples of 54 = 54, 108, 162, 216) and choose the smallest multiple that is exactly divisible by 24 and 54, i.e., 216.
Answer: 216
Step-by-step explanation: The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, You need to find the multiples of 24 and 54.
how do i solve this?
Answer:
its the same thing as 3 x3 or 3+3 it always come´s back as 9 or 6
Step-by-step explanation:
Simplify: (13/4)x - 8y- (5/4) x + 7y + 5
[tex]\dfrac{13}4 x -8y-\dfrac54 x +7y +5\\ \\=\dfrac{13x-5x}{4} -y+5\\\\=\dfrac{8x}{4}-y+5\\\\=2x-y+5[/tex]
The courier travelled 508 km in 8h. b) At this rate, how long will it take the courier to travel 889 km?
Answer:
14 hours
Step-by-step explanation:
Finding the rate of travel
Distance covered / Time taken508 kilometers / 8 hours63.5 kilometers per hourTime taken to cover 889 km
Distance / Rate of Travel889 kilometers / 63.5 kilometers per hour14 hoursDevon opened a savings account with an initial deposit of $2,750 The balance will eam 6. 5% interest compounded annually He does not deposit any
additional money or make any withdrawals from this account What will his account balance be after 8 years?
Answer:
22,000
Step-by-step explanation:
What is an equation of the circle with center (-5,4) and a radius of 7?
(1) (x - 5)² + (y + 4)² = 14
(2) (x - 5)2 + (y + 4)² = 49
(3) (x + 5)² + (y — 4)² = 14
(4) (x + 5)² + (y - 4)² = 49
Answer:
Option D
Step-by-step explanation:
Given:
Center point: (-5, 4)Radius: 7Formula:
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
Substitute the coordinates of the center point in the formula:
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
⇒ (x - h)² + (y - k)² = r²⇒ [x - (-5)]² + [y - 4]² = r²Substitute the radius in the formula:
Given radius: 7
⇒ [x - (-5)]² + [y - 4]² = r²⇒ [x - (-5)]² + [y - 4]² = (7)²Simplify both sides of the equation:
⇒ [x + 5]² + [y - 4]² = (7)(7)⇒ [x + 5]² + [y - 4]² = 49 (Option D)Therefore, Option 4 is correct.
262 diveded by 2.5 please help
Answer:
The answer is 104.8
Step-by-step explanation:
Calculator