Answer: x=-18
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \huge{ \fbox{ \sf{x = - 18}}}[/tex]
Step-by-step explanation:
[tex] \text{4(7x + 3) = - 3(2 - 9x)}[/tex]
[tex] \text{Step \: 1 \: : Distribute \: 4 \: through \: the \: parentheses}[/tex]
[tex] \hookrightarrow{ \sf{28x + 12 = - 3(2 - 9x)}}[/tex]
[tex] \text{Step \: 2 \: : Distribute \: - 3 \: through \: the \: parentheses}[/tex]
[tex]\hookrightarrow{ \sf{28x + 12 = - 6 + 27x}}[/tex]
[tex] \text{Step \: 3 \: : Move \: 27x \: to \: left \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \hookrightarrow{ \sf{28x - 27x + 12 = - 6}}[/tex]
[tex] \text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]
[tex] \hookrightarrow{ \sf{28x - 27x = - 6 - 12}}[/tex]
[tex] \text{step \: 5 \: : Collect \: like \: terms}[/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \hookrightarrow{ \sf{x = - 6 - 12}}[/tex]
[tex] \text{step \: 6 \: : Calculate}[/tex]
[tex] \text{ \underline{ Remember!}} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]
[tex] \hookrightarrow{ \boxed{ \sf{x = - 18}}}[/tex]
Hope I helped!
Best wishes ! :D
~[tex] \text{TheAnimeGirl}[/tex]
What number should be placed in the box to help complete the division calculation of 2635 divided by 17
Answer:
divided
Step-by-step explanation:
divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.
WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(–1, –2), B( 2, –5), C(1, –2), and D( –2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online.
Answer:
(0,-2)
Step-by-step explanation:lol rsm hw
ok so just take average of two points (-1, -2) (1, -2)
-1+1=0/2=0
-2+(-2)=-4/2=-2
You can do this with B and D too
Have fun in rsm
A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion for a client who weighs 110 lb. Available is dopamine
400 mg in 250 mL of D5W. The nurse should set the IV pump to deliver how many ml/hr administer? (Round the answer to the nearest
tenth.)
Answer:
3.7ml/hr
Step-by-step explanation:
From the question
A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion
Step 1
The patient weighs 110lb(pounds
Convert the patients weight to kilogram
1 lb = 0.454kg
110lb =
Cross Multiply
110lb × 0.454kg
= 49.94kg
The patient weight = 49.94kg
Step 2
The dosage to to be administered by the nurse = 2 mcg/kg/min
If 1 kg = to be administered 2mcg/min
49.94 kg =
(49.94kg × 2mcg/min)/1
= 99.88mcg/min
Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min
Step 3
Available dopamine is 400mg in 250ml
We have to convert this to mcg
Hence,
1 mg = 1000mcg
400mg =
Cross Multiply
= 400mg × 1000mcg
= 400000mcg
Hence, the available dopamine is administer in 250ml/400000mcg
Part 3
Since 60 minutes is 1 hour
The nurse should set the IV pump to deliver how many ml/hr
(99.88mcg/min × 250ml × 60mins)/ 400000mcg
= 3.7455ml/hr
Approximately to the nearest tenth = 3.7ml/hr
21+6x; x= -2 evaluate
Steps to solve
21 + 6x when x = -2
~Substitute
21 + 6(-2)
~Simplify
21 - 12
~Subtract
9
Best of Luck!
A snowboarder traveled at a speed or 12 meters per second for 15 seconds. How far did the snowboarder travel ? A. 18 meters B. 27 meters C. 180 meters D.270 meters
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
2021 EDGE
The peak of Mount Kilimanjaro, the highest point
Answer:
Kilimanjaro: Facts About Africa's Highest Peak Kilimanjaro is the highest mountain in Africa at 19,341 feet (5,895 meters), but it isn't a mountain in a traditional sense. ... Uhuru Peak is the highest summit on Kibo's crater rim. Uhuru, Swahili for "Freedom," was named in 1961 when Tanganyika gained its independence
Step-by-step explanation:
Please help!! Thanksss
Answer:
b
Step-by-step explanation:
complimentary which means both angles are the same and on the opposite sides of each other
im not sure if the explanation is correct but im pretty sure the answer is
An equilateral triangle measures 3 1/2 inches on one side.what is the perimeter of the triangle
Answer:
10.5 inches
Step-by-step explanation:
Equalilateral triangle means all the 3 sides are equal
So perimeter of equilateral triangle=3(side)
=>3(3.5)
=>10.5
Which equation correctly solves for x in △LMN?
A
cos61°=13x
B
cos61°=x13
C
sin61°=x13
D
sin61°=13x
Answer:
the answer is B
Step-by-step explanation:
you have to divid 13 from 61 to get -8 and u have to times the 2 numbers and do - 8 x 2 = 16 and after that u take the 3 and it would have to turn into 50 and it would be cos bc you combining the numbers to make one whole number and since it is negative you have to put that little circle thing i forgot the name I hope that help can u please mark my branily thing
what is the average rate of change
Answer:
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
It is a measure of how much the function changed per unit, on average, over that interval.
Help i dont understand pls help :(
Answer:
B. -2
Step-by-step explanation:
All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.
Is the square root of 8 closer to 2 or 3?
It is more closer to 3.
[tex]Explanation[/tex]
___________________________________________________________
[tex]1.[/tex] Find the square root of 8.
√[tex]8= 2.8[/tex]
[tex]2.[/tex] Figure out if 2.8 is closer to 2, or 3.
2.8 is closer to 3 than 2.
At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.)
Answer:
11/19
Step-by-step explanation:
b) A white shirt costs $. 2.50, and a blue shirt costs $. 1.50
Calculate the percentage difference.
Cost of white shirt = 2.50 $
Cost of blue shirt = 1.50 $
We have asked to find percentage difference[tex].[/tex]
_________________________________
[tex]:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100[/tex]
[tex]:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100[/tex]
[tex]:\implies\sf\:\dfrac{1}{4}\times 100[/tex]
[tex]:\implies\:\boxed{\bf{\gray{25\:\%}}}[/tex]
Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28
Answer:
x = 27Step-by-step explanation:
Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;
[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]
add 22 to both sides
[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]
[tex]{2x^{5/3} =486[/tex]
divide both sides by 2
[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]
raise both sides to the power of 3/5
[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]
Hence the value of x is 27
what is 0.26 rounded to the nearest tenth.
Answer:.3
Step-by-step explanation: if it is 5 or above it rounds up
ASAP What statements are true regarding the given statement and diagram?
Which phrase matches the algebraic expression below?
2(x - 7) + 10
Answer:
Combining like terms
Step-by-step explanation:
A Ferris wheel at a carnival has a radius of 38 feet. Suppose a passenger is traveling at 5 miles per hour. (A usual fact: 1 mi = 5280 ft).A) Find the angular speed of the wheel in radians per minute.B) Find the number of revolutions the wheel makes per hour.
Answer:
a
[tex]w = 11.58 \ rad/minutes[/tex]
b
[tex]R_h = 111 \ revolution\ per \ hour[/tex]
Step-by-step explanation:
From the question we told that
The radius of the wheel is [tex]r = 38 \ ft[/tex]
The speed of the passenger is [tex]v = 5 \ miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]
Generally the angular speed is mathematically represented as
[tex]w = \frac{v}{r}[/tex]
=> [tex]w = \frac{7.3}{ 38}[/tex]
=> [tex]w = 0.193 \ rad/s[/tex]
now converting the seconds to minutes
[tex]w = 0.193 *60[/tex]
[tex]w = 11.58 \ rad/minutes[/tex]
Generally number of revolutions the wheel makes per minutes is mathematically represented as
[tex]R = \frac{11.58 }{2 \pi}[/tex]
[tex]R = 1.84 \ rpm[/tex]
Generally number of revolutions the wheel makes per hour is mathematically represented as
[tex]R_h = R * 60[/tex]
=> [tex]R_h = 1.84 * 60[/tex]
=> [tex]R_h = 111 \ revolution\ per \ hour[/tex]
1/2 - 1/5
I don’t know how to do these problems
Answer: 3/10
Step-by-step explanation: Since our denominators of 2 and 5have no
factors in common, our least common denominator is 2 · 5 or 10.
In order to get a denominator of 10 in each fraction,
we multiply top and bottom of the first fraction by 5
and top and bottom of the second fraction by 2.
That gives us 5/10 - 2/10 which is 3/10.
use the graph of f(x) to graph y= f(x+1)-2
What are quadratic binomial
Answer:
A quadratic binomial is a second degree binomial, such as 3x2+2.
solve the inequality 9(x/3+1) > 6
Step-by-step explanation:
On solving the inequality, we get the solution inequality as -
x > -1.
What is a Inequality? What is equation modelling? What is a mathematical equation and expression?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the inequality -
9(x/3 + 1) > 6
The given inequality is -
9(x/3 + 1) > 6
(x/3 + 1) > (6/9)
(x/3 + 1) > 2/3
x/3 + 1 - 1 > 2/3 - 1
x/3 > (2 - 3)/3
x/3 > -1/3
x > -1
Therefore, on solving the inequality, we get the solution inequality as -
x > -1.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
I need help to find the slope of the line
Add 7, .8,.6 Add 35.15,14.18,7.16 Add .8,5,.7
Answer:
(a) 8.4
(b) 56.49
(c) 6.5
Step-by-step explanation:
Question 1:
7 + 0.8 + 0.6
7.8 + 0.6
8.4
Question 2:
35.15 + 14.18 + 7.16
49.33 + 7.16
56.49
Question 3:
0.8 + 5 + 0.7
5.8 + 0.7
6.5
Answer:
8
Step-by-step explanation:
bc is write
A Fahrenheit thermometer shows that the temperature is 15 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit.
Answer:
The integer that represents 15 degrees below 0 is -15°F.
Step-by-step explanation:
This is because the phrase "15 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -15.
The thermometer shows - 15°F the temperature is 15 degrees below zero.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The Fahrenheit scale is a temperature scale based on one proposed in 1724 by the physicist Daniel Gabriel Fahrenheit.
Given, A Fahrenheit thermometer shows that the temperature is 15 degrees below zero.
So, If we assume the thermometer as a number line it is 15 units left to the origin.
∴ (0 - 15)°F.
= - 15°F.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Use graphing technology to find the range of the function f(x)=2^x
.
Look at the graph, which y values can the graph hit?
Anything above zero would be the right answer, since there is an asymptote at [tex]y=0[/tex].
So the range would be [tex]y>0[/tex]
Hope this helps.
頑張って!
What’s the LCD Of 5/8
40
There isnt a way the LCD can go lower, because 5 only counts by 5's and 5 and 8 meet at 40.
Answer:
least common denominator of 5 and and 8 is 40
Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?
a. 6:13
b. 7:13
c. 6:7
d. 7:6
Answer:
B: 7:13
Step-by-step explanation:
Answer:
7:13
i get it correct on the work sheet
f(x) = (2x + 1)(x - 2)(x + 3)
Answer:
f(3) = 42.
Y-intercept is (0, -6).
X-intercepts are (-0.5, 0), ( 2, 0) and (-3, 0).
Step-by-step explanation:
f(3) = (2(3) + 1)(3 - 2)(3 + 3)
= 7 * 1 * 6
= 42.
The y intercept occurs when x = 0:
y-intercept = (2(0) + 1)(0 - 2)(0 + 3)
= 1 *-2*3
= -6.
Calculate the x-intercepts:
(2x + 1)(x - 2)(x + 3) = 0 so
(2x + 1) = 0 or (x - 2) = 0 or (x + 3) = 0
So x = -0.5, 2 or -3.