Answer:
u = -5/9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-3(u + 2) = 5u - 1 + 5(2u + 1)
Step 2: Solve for u
Distribute: -3u - 6 = 5u - 1 + 10u + 5Combine like terms: -3u - 6 = 15u + 4Add 3u to both sides: -6 = 18u + 4Subtract 4 on both sides: -10 = 18uDivide 18 on both sides: -10/18 = uSimplify: -5/9 = uRewrite: u = -5/9Step 3: Check
Plug in u into the original equation to verify it's a solution.
Substitute in u: -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)Multiply: -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)Add: -3(13/9) = -25/9 - 1 + 5(-1/9)Multiply: -13/3 = -25/9 - 1 - 5/9Subtract: -13/3 = -34/9 - 5/9Subtract: -13/3 = -13/3Here we see that -13/3 does indeed equal -13/3.
∴ u = -5/9 is a solution of the equation.
Answer:
[tex] \sf u = -\dfrac{5}{9} [/tex]
Step-by-step explanation:
Expand the following:
[tex] \longrightarrow [/tex] -3(u + 2) = 5u - 1 + 5(2u + 1)
5(2u + 1) = 10u + 5:
[tex] \longrightarrow [/tex] -3(u + 2) = 5u - 1 + 10u + 5
-3(u + 2) = -3u - 6:
[tex] \longrightarrow [/tex] -3u - 6= 10 u + 5 u - 1 + 5
Grouping like terms,
5u - 1 + 10u + 5 = (5u + 10u) + (-1 + 5):
[tex] \longrightarrow [/tex] -3u - 6 = (5u + 10u) + (-1 + 5)
5u + 10u = 15u:
[tex] \longrightarrow [/tex] -3u - 6 = 15u + (-1 + 5)
5 - 1 = 4:
[tex] \longrightarrow [/tex] -3u - 6 = 15u + 4
Subtract 15 u from both sides:
[tex] \longrightarrow [/tex] (-3u - 15u) - 6 = (15u - 15u) + 4
-3u - 15u = -18u:
[tex] \longrightarrow [/tex] -18u - 6 = (15u - 15u) + 4
15u - 15u = 0:
[tex] \longrightarrow [/tex] -18u - 6 = 4
Add 6 to both sides:
[tex] \longrightarrow [/tex] (6 - 6) - 18u = 6 + 4
6 - 6 = 0:
[tex] \longrightarrow [/tex] -18u = 4 + 6
4 + 6 = 10:
[tex] \longrightarrow [/tex] -18u = 10
Divide both sides of -18 u = 10 by -18:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-18u}{-18}= \dfrac{10}{-18} [/tex]
[tex] \sf \dfrac{-18}{-18}=1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{10}{-18} [/tex]
[tex] \sf \dfrac{10}{-18}=\dfrac{5}{-9}: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{5}{-9} [/tex]
Multiply numerator and denominator of [tex] \sf \dfrac{10}{-18} [/tex] by -1:
[tex] \longrightarrow [/tex] [tex] \sf u = \dfrac{-5}{9} [/tex]
Find the system of inequalities which represents the shaded region on the coordinate plane.
A)y> 2x² + x and y> 1 + x
B)y > 2x² + x and y> 1 - x
C)y> 2x²- x and y> 1 + x
D)y > 2x² - x and y > 1 - x
Answer:
given, y≥2x+1 and
y>
2
1
x−1
first, draw the graph for equations y=2x+1 and y=
2
1
x−1
for y=2x+1
substitute y=0 we get, 2x+1=0⟹x=−0.5
substitute x=0 we get, y=1
therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.
Hence, y≥2x+1 includes the region above the line.
for y=
2
1
x−1
substitute y=0 we get,
2
1
x−1=0⟹x=2
substitute x=0 we get, y=−1
therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.
Hence, y>
2
1
x−1 includes the region above the line.
the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.
Therefore, quadrant IV has no solution please make as brainlelist
A nurse must give a patient 50mg of a drug for each kilogram of the patients mass if patient weighs 198 lb how many milligrams of the drug should be given
Answer:
4,500 mg
Step-by-step explanation:
198x1x50=9900
1x2.2x1=2.2
9900/2.2=4,500
Aaron has $0.70 worth of nickels and dimes. He has a total of 8 nickels and dimes altogether. By following the steps below, determine the number of nickels, x,x, and the number of dimes, y,y, that Aaron has.
Answer:
There are 2 nickels and 6 dimes.
Step-by-step explanation:
Nickels: x
Dimes: y
Constraints:
0.05x + 0.10y = 0.70
x + y = 8 ===> -0.05 * (x + y = 8) ===> -0.05x - 0.05y = -0.4
Add the two equations to eliminate x variable:
0.05x + 0.10y = 0.70
-0.05x - 0.05y = -0.4
_________________
0.05y = 0.3 ===> y = 6
Substitution to find x:
x + y = 8
x + 6 = 8
x = 2
There are 2 nickels and 6 dimes.
There are 2 nickels and 6 dimes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Aaron has $0.70 worth of nickels and dimes.
total of 8 nickels and dimes altogether
We need to find the number of nickels and number of Dimes
Let Nickels be x and Dimes be y
By given conditions
0.05x + 0.10y = 0.70
x + y = 8-0.05x - 0.05y = -0.4
Add the two equations to eliminate x variable:
0.05x + 0.10y -0.05x - 0.05y = 0.70 -0.4
0.05y = 0.3
Divide both sides by 0.05
y = 6
Substitution to find x:
x + y = 8
x + 6 = 8
x = 2
Hence, there are 2 nickels and 6 dimes.
To learn more on Equation:
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In a survey of 600 students, 80% said they liked pop music. How many students liked pop music?
For percents
Answer:
480 students
Step-by-step explanation:
600 x .80
The unit of pencil is what?
Answer:
In units of measurement of length we use centimeter (cm) to measure. We can use this unit for measuring the length of a pencil, the width of a book etc. but this unit is too big to measure the thicken of a pencil. So we use another unit called millimeter (mm).
Step-by-step explanation:
subtracting 1 to the product of 5 and x gives the same value as adding 10 to the product of 3 and x. what value of x makes the statement true ?
Answer:17
Step-by-step explanation: You just follow the steps.
HELP FAST ITS AN IMAGE
Answer:
3
Step-by-step explanation:
The population of London is currently estimated at 8.156 million.
What is the value of the 5?
I
Answer:
The value of 5 is fifty thousand (50,000)
Step-by-step explanation:
8.156 million = 8,156,000
hope this helps!
The value of 5 is 50, 000.
What is place value?In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit's location (ones place). The place values of a number's digits are expressed in the following order: ones/units, tens, hundreds, thousands, ten thousands, and so on.
Given:
The population of London is currently estimated at 8.156 million.
Expanding 8.156 million.
= 8.156,000
Here the place value of 5 is ten thousand.
Hence, the value of 5 is 50, 000.
Learn more about place value here:
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Gerald drives his car 48 miles each day for 32 days. How many miles does he drive in total?
Answer:
1536
Step-by-step explanation:
If he drives 48 miles everyday for 32 days, to get his total you multiply to by 32
Answer:
in I day he drives 48 miles
so how many for 32 days
32×481536milesWhich graph below shows plots of equivalent ratios for this situation?
Number of Pies Pounds of apples
5 2
10 4
15 6
Answer:
2
Step-by-step explanation:
How many calendars did the Mayans have
Answer:
three ( Long Count, Tzolkin, Haab )
Step-by-step explanation:
PLEASE HELP ASAP!!!
Triangle Similarity Day 4- Overlapping triangles
Solve for x. Remember to draw two triangles and set up the proportion.
Answer:
x = 16
Step-by-step explanation:
The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.
Thus, ∆ABC ~ ∆EFG. Therefore:
[tex] \frac{AB}{EF} = \frac{AC}{EG} [/tex]
AB = 12 + 3 = 15
EF = 12
AC = x + 4
EG = x
Plug in the values into the equation
[tex] \frac{15}{12} = \frac{x + 4}{x} [/tex]
Cross multiply
[tex] (15)(x) = (x + 4)(12) [/tex]
[tex] 15x = 12x + 48 [/tex]
Subtract 12x from each side
[tex] 15x - 12x = 48 [/tex]
[tex] 3x = 48 [/tex]
[tex] x = \frac{48}{3} [/tex]
[tex] x = 16 [/tex]
Jo estimates that a piece of ribbon
measures 8.5 inches. If it actually
measures 7.8 inches, what is the
percent error of Jo’s estimate
Answer:
9
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through (5, 4) and (6, -1).
-14n+q = rt-4n
solve for n
Answer:
Step-by-step explanation:
Simplifying
-14 + 1 = rt + -4n
Combine like terms: -14 + 1 = -13
-13 = rt + -4n
Reorder the terms:
-13 = -4n + rt
Solving
-13 = -4n + rt
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4n' to each side of the equation.
-13 + 4n = -4n + 4n + rt
Combine like terms: -4n + 4n = 0
-13 + 4n = 0 + rt
-13 + 4n = rt
Add '13' to each side of the equation.
-13 + 13 + 4n = 13 + rt
Combine like terms: -13 + 13 = 0
0 + 4n = 13 + rt
4n = 13 + rt
Divide each side by '4'.
n = 3.25 + 0.25rt
Simplifying
n = 3.25 + 0.25rt
Answer:
n = [tex]\frac{rt-q}{-10}[/tex]
Step-by-step explanation:
your equation is -14n+q = rt-4n
subtract q from both sides: -14n = rt - 4n - q
add 4n to both sides: -10n = rt - q
divide both sides by -10: n = [tex]\frac{rt-q}{-10}[/tex]
For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a standard deviation of 100. Assume that the SAT scores are normally distributed. What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
b) between 450 and 675?
Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =[tex]\mu = 500[/tex]
Standard deviation = [tex]\sigma = 100[/tex]
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
At x = 450
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Which statement is true
A pizza restaurant has a monthly budget of (x) dollars.
Every month $3050 is spent on salaries, one-third of
the remaining budget is spent on ingredients for pizza's.
Which function can be used to find the amount in
dollars spent on ingredients?
A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 180 rpm.
Answer:
19.28 mphStep-by-step explanation:
"The question is not complete, here is the complete question
A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 180 rpm.
Find the linear speed of the bicycle in in/min (correct to at least two decimal places)
How fast is the bike moving in mph (to two decimal places)?"
Step one:
given data
the diameter of wheels= 18 inches
radius of front sprocket=6 inches
radius of rear sprocket= 3 inches
The cyclist pedals at 180 rpm
The chains move at the same speed, hence
the rear sprocket must make 6/3 revolutions for every one revolution made by the front sprocket
when the rider moves the front sprocket through 180 revs/min
the rear sprocket moves through 180 (6/3) = 360 revs/min
the linear speed of the bicycle in inches per minute =
2π * 9 * 360 = about 20360.16 in/min
The speed in mph
=2π * 9 * 360 * 60 minutes in 1 hr /63360 in/ mile
=19.28 mph
Please help I will give Brainliest!!
Part A: Using x and y, write two different expressions that represent the perimeter of rectangle #1.
please do part B as well
Part B: Which two rectangles have equal area? Justify your answer using properties of operations.
Answer:
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. To find the area of a rectangle, multiply the length by the width.
A rectangle with four sides of equal length is a square.
Following image represents the area of a rectangle.
A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The perimeter can be used to calculate the length of fence required to surround a yard or garden. Following image represents the perimeter of a rectangle.
Step-by-step explanation:
Sorry if this is wrong.
I have no idea if this is right but i tried.
Sorry im dumb.
If its right Yw.
:)
Answer:
Part A: 2(4x)+2(y)+2(2) and 2(4x+y+2)
Part B: #2 and #4
Step-by-step explanation:
Part B:
- #2: 4 x 3 is 12 and 4 x 6 is 24
- #3: 2 x 6 is 12 and 6 x 4 is 24
Bothe are the same.
encontrar el numero que cumple que la suma de su doble y de su triple es igual a 100
Answer:
33.33
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
2x+3x=100x
Combine like terms:
2x+3x=5x
5x=100
Divide by 5 on both sides:
5x/5=100/5x
x=20
A shelf is 24 inches wide. How many books, each StartFraction 7 Over 8 EndFraction of an inch thick, can fit on the shelf?
Which equation can be used to solve the above problem?
24 divided by StartFraction 7 Over 8 EndFraction
StartFraction 7 Over 8 EndFraction divided by 24 = b
b divided by 24 = StartFraction 7 Over 8 EndFraction
b divided by StartFraction 7 Over 8 EndFraction = 24
Answer:
it is a
Step-by-step explanation:
suppose an egyptian mummy is discovered
What is the slope of the line? i-Ready Lesson Linear Equations and Slope Level H
Answer:
Slope of the line = 2
Step-by-step explanation:
Slope of a line through two points lying on the line [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the figure attached,
Given line is passing through two points (0, 1) and (1, 3).
Therefore, slope of the line will be,
Slope = [tex]\frac{3-1}{1-0}[/tex]
= 2
The slope of the line given in the graph is -0.5.and this can be determined by using the point-slope form and slope-intercept form.
Given :
The graph of the line.Points - (0,1) and (0.5,0)To determine the slope of the line, the point-slope form can be used. The point-slope form is given by:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, put the values of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.
[tex]\dfrac{y-1}{x-0}=\dfrac{0-1}{0.5-0}[/tex]
0.5(y - 1) = -x
[tex]y = -\dfrac{1}{2}x +1[/tex]
Now, compare equation (1) with the slope-intercept form of the line.
m = -0.5
c = 1
So, the slope of the line is -0.5.
For more information, refer to the link given below:
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12. What is the value of x ?
Answer: 4.5
Step-by-step explanation:
Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.
solve 20% of =.________ 100
Answer:
500
Step-by-step explanation:
20%x = 100
x = 100 * 100/20
x = 100 * 5
x = 500
Hope this helped!
12 times the sum of 6 and 12
Answer:
216
Step-by-step explanation:
12 plus 6 is 18. 18 times 12 is 216
Answer:
216
Step-by-step explanation:
12 + 6 = 18
18 x 12 = 216
In what layer are convection currents found?
Continental crust
Inner core
Asthenosphere
Oceanic crust
Answer:
c
Step-by-step explanation:
The function g(x) is graphed.
Which statements about the function are true? Choose
three options
9(1)=-1
3 2
090=0
9(4) = -2
(1) = 1
O 01-1=1 /
Answer:
I got A, B, D
Step-by-step explanation:
7(4p+2q+3r)
equal what
Answer:
Answer : 28p + 14q + 21r
The word distributive property is a rule or method that states that every term inside grouping symbols may be multiplied by a term outside grouping symbols to yield the equivalent expression.
Here is the formula for this question
a(b+c) = ab + ac
7(4p+2q+3r)
=28p + 14q + 21r
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Step-by-step explanation: