Answer:
Distributive Property
Step-by-step explanation:
5y + 2 + 6 + 2y
= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition
= 6y − y + 2y + 10 − 4 + 2
The distributive property of multiplication with respect to addition is the one which separates each term by using multiplication and then addition.
So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.
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.
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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.
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
Simplify the following expression.
5 (2x - 3) + 4(x + 1)
Answer:
Step-by-step explanation:
10x - 15 + 4x + 4
14x - 11
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:
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
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
use the graph of f(x) to graph y= f(x+1)-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:
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.
What are quadratic binomial
Answer:
A quadratic binomial is a second degree binomial, such as 3x2+2.
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
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!
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
Use the properties of exponents to simplify the expression: 2(x13)65⋅y23
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
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.
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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
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]
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.
Which phrase matches the algebraic expression below?
2(x - 7) + 10
Answer:
Combining like terms
Step-by-step explanation:
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.
ASAP What statements are true regarding the given statement and diagram?
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
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!
What is the value of the expression below?
(-8)^4/3
A. 32
B. 16
C. -16
D. 3
Answer:
-16
Step-by-step explanation:
what is 0.26 rounded to the nearest tenth.
Answer:.3
Step-by-step explanation: if it is 5 or above it rounds up
I need help to find the slope of the line
1200-5(3x+30)=600 show the steps to solve this problem
Answer:
x=+30
Step-by-step explanation:
1200-5(3x+30)=600
We move all terms to the left:
1200-5(3x+30)-(600)=0
We add all the numbers together, and all the variables
-5(3x+30)+600=0
We multiply parentheses
-15x-150+600=0
We add all the numbers together, and all the variables
-15x+450=0
We move all terms containing x to the left, all other terms to the right
-15x=-450
x=-450/-15
x=+30
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 30}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1200 - 5(3x + 30) = 600}[/tex]
Distribute 5 through the parentheses
[tex] \dashrightarrow{ \sf{1200 - 15x - 150 = 600}}[/tex]
Subtract the numbers: 150 from 1200
[tex] \dashrightarrow{ \sf{ - 15x + 1050 = 600}}[/tex]
Move 1050 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - 15x = 600 - 1050}}[/tex]
Subtract 1050 from 600
[tex] \dashrightarrow{ \sf{ - 15x = 450}}[/tex]
Divide both sides of the equation by -15
[tex] \dashrightarrow{ \sf{ \frac{ - 15x}{ - 15} = \frac{ - 450}{ - 15} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 30}}[/tex]
Hope I helped!
Best regards! :D
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