Answer: 6x+12
Step-by-step explanation: Both denominators can be multiplied to create 6x + 12.
2x + 4
2x(3) + 4(3)
6x+12
3x + 6
3x(2) + 6(2)
6x+12
I hope this helps!
Need help with Graphs. please help!!
The ratio of the area of the red rectangle to the blue rectangle in graph A is 3 : 5
Median weekly earningsThe median weekly earnings on the graphs are
High school diploma = $750Bachelor's degree = $1250Represent as a ratio
Ratio = $750 : $1250
Divide by 250
Ratio = 3 : 5
Hence, the ratio of the median weekly earnings is 3 : 5
The ratio of the area in graph AIn (a), we have:
Ratio = 3 : 5
The horizontal scale is given as:
Ratio = 1 unit : 1 grid mark
The rectangles in graph A have a width of 1 unit.
So, we have:
Ratio = 3 * 1: 5 * 1
Ratio = 3 : 5
Hence, the ratio of the area of the red rectangle to the blue rectangle in graph A is 3 : 5
The ratio of the area in graph BRecall that:
Ratio = 3 : 5
Ratio = 1 unit : 1 grid mark
From the graph, we have the following widths:
Red = 3 units
Blue = 5 units
So, we have:
Ratio = 3 * 3 : 5 * 5
Simplify
Ratio = 9 : 25
Hence, the ratio of the area of the red rectangle to the blue rectangle in graph B is 9 : 25
The ratio of the volume in graph CRecall that:
Ratio = 3 : 5
Ratio = 1 unit : 1 grid mark
From the graph, we have the following widths:
Red = 3 units
Blue = 5 units
Since the base are squares, we have:
Ratio = 3 * 3 * 3 : 5 * 5 * 5
Simplify
Ratio = 27 : 125
Hence, the ratio of the volume of the red cube to the blue cube in graph C is 27 : 125
The most misleading graphThe most misleading graph is graph B.
This is so because the blue rectangle and the red rectangle do not have the same width when plotted on the same scale
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how much 45 in hour how do
Answer:
45 minutes in an hour is also called three-quarters of a hour.
Step-by-step explanation:
If you are talking about money, then here is the answer.
Yearly (262 Work Days)=$94,320
Is $45 an hour good pay?
In short, yes! Forty-five dollars an hour is a great wage. It's above the median income in the United States and can provide you with a comfortable lifestyle. If you're looking to make more money, there are plenty of career choices that will have you on your way to making $45 an hour in no time.
A basket contains 3 oranges and 3 mangoes. A playful baby picks two fruits at random from this basket. If X denotes the number of oranges thus picked, determine the probability distribution of X
There are [tex]\binom62=15[/tex] ways of selecting any two fruit from the basket, where
[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]
is the so-called binomial coefficient.
If the baby picks out [tex]k[/tex] oranges, where [tex]k\in\{0,1,2\}[/tex], it can do so in
[tex]\dbinom 3k \dbinom3{2-k} = \dfrac{3!}{k!} \dfrac{3!}{(2-k)! (1 + k)!}[/tex]
ways.
Then the PMF (probability mass function) of [tex]X[/tex] is
[tex]P(X=x) = \begin{cases} \dfrac{\binom30 \binom32}{\binom62} = \dfrac3{15} & \text{if }x=0 \\\\ \dfrac{\binom31 \binom31}{\binom62} = \dfrac9{15} & \text{if }x = 1 \\\\ \dfrac{\binom32 \binom30}{\binom62} = \dfrac3{15} & \text{if }x=2 \\\\ 0 &\text{otherwise}\end{cases}[/tex]
Wei Xun bought 8 pieces of chocolates and 10 lollipops for $17. The average price of a piece of chocolate was S$1. What was the average price of a lollipop?
Answer:
$0.90
Step-by-step explanation:
If each piece of chocolate is $1, then 8 pieces is $8. Wei Xun bought 8 pieces of chocolate and 10 lollipops, which came out to $17. The chocolate was $8 total, leaving $9 for the 10 lollipops. 9/10 = 0.9. So, each lollipop was $0.90, or 90 cents.
What is line r called and what are ∠1 and ∠2?
Answer:
The line r is the transversal and ∠1 and ∠2 are linear pairs.
Step-by-step explanation:
Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.
Consequently, the parallel lines are p and q.
R is the transversal
The parallel lines p and q are divided by the transversal r.
As a result, lines 1 and 2 are linear pairs, and line r is the transversal.
Answer:
it is called a transversal (how do u not know this?)
4. You must make 3000 bags of product for a customer by 5 pm. You started work at 7 am today. By 9 am you have
made 500 bags. If you continue at this pace with no interruptions or machine issues, what percent (%) of 3000
will be complete by 11 am?
Answer:
33.33%
Step-by-step explanation:
from 7 to 9 it's 2 hours and you make 500
and 7 to 11 is 4 hours so you make 1000
then do 1000/3000 to find the percentage you have made
1000/3000 is 33.3333333333...% (the 3333.... never ends)
What is the coefficient in this expression?
2/5
O
2/5
Op
05
02
Answer:
2/5 is the coefficient.
Coefficient generally refers to the numerical value in an expression.
And the expression here is 2/5.
So, 2/5 makes up the coefficient.
h(x)=x²-5
Find h(-7)
Simplify your answer.
Answer:
h(-7) = 44
Step-by-step explanation:
h(x) = h (-7) means x= -7
h(x) = (-7)² - 5
49 - 5
44
Expanded form of 1,256
Answer:
one thousand two hundred fifty six
Step-by-step explanation:
please mark me as brainlest
35. The grocery store sells a package of 6 pudding cups for $2.88. What is the cost for one of the pudding
cups in the package?
Answer:
48 cents
Step-by-step explanation:
Divide 2.88 by 6 to determine the value of a single pudding.
2.88/6 = 0.48
Hence, each pudding is worth 48 cents.
Hope this helps!
PLEASE HELP!!
Write Y=x^2+4x+3 in standard form
Answer:
already in standard form
Step-by-step explanation:
the equation of a quadratic in standard form is
y = ax² + bx + c ( a ≠ 0 )
y = x² + 4x + 3 ← is in standard form
with a = 1 , b = 4 , c = 3
Given (x – 7)2 = 36, select the values of x.
Answer:
x = 25
Step-by-step explanation:
Solve by isolating x:
(x-7)2 = 36
x-7 = 18
x = 25
What should be added to -2 1/9 to get 11
Answer:
u should add 118/9
Step-by-step explanation:
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Which expression can be used to calculateof formalin needed make this batch of 3200 pd the amount? The batch sugar 3% water 39% formalin 44% melamine 14% total 100 amount of pounds equal 3200
The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%
How to identify the amount of formalin?To calculate the amount of formalin in this substance we must perform the following mathematical operation:
3200 ÷ 100 = 3232 × 44% = 1,408According to the above, the mathematical expression would be:
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As a summer job, Bart is picking strawberries at his uncle's farm. He can pick 6
gallons of strawberries in 9 minutes, and his uncles pays him $5 for 2 bushels. How
much does Bart make per hour picking strawberries?
Given: 8 gallons = 1 bushel & 60 minutes = 1 hour
Answer:
125
Step-by-step explanation:
All the work is in picture attat
Content attribution
QUESTION 5 1 POINT
Tickets for a basketball game cost $5 for students and $8 for adults. The number of students was 7 less than 11 times the
number of adults. The total amount of money from ticket sales was $3682. How many of each ticket were sold?
Provide your answer below:
FEEDBACK
adult tickets, student tickets
FEED-BACK
Answer:
Adult: 59 tickets, Student: 642 tickets
Step-by-step explanation:
$5 = ticket per student (s)
$8 = ticket per adult (a)
$3682 = total money made
# of s = 11a-7 (7 less than 11 times the adults)
We can use this information to create a systems of equations.
5s + 8a = 3682
*price of a ticket times the number of students or adults equals total*
where s = 11a-7
Now we substitute in:
5(11a-7) + 8a = 3682
55a - 35 + 8a = 3682
63a - 35 = 3682
63a = 3717
a = 59
so 59 adult tickets were sold, now we can use this information to solve for student tickets.
s = 11(59)-7
s = 642
So 59 adult tickets, and 642 student tickets were sold.
Dr. Shepherd - no, not that Dr. Shepherd, the other one-writes an order for ibuprophen 300 mg by mouth every 4 hours for pain. Pharmacy
dispenses 50 mg/2.5 mL. How many mL per dose?
000
a
b
C
d
5mL
50 ml
2.5 mL
15 mL
Answer: d
Step-by-step explanation:
divide 300 by 50 to get 6 then multiply 2.5 by 6 to get 15 therefore the answer is d 15ml
Give the domain and range. A relation. An arrow goes from negative 2 to 4, from 0 to 6, from 2 to 8. a. domain: {–2, 0, 2}, range: {4, 6, 8} b. domain: {0, 2}, range: {6, 8} c. domain: {4, 6, 8}, range: {–2, 0, 2} d. domain: { 6, 8}, range: {0, 2} Please select the best answer from the choices provided A B C D
Answer:
domain= (-2,0,2)
range= (0,4)
−3x(4x² − 81) (x² + 64) = 0
Answer: [tex]x=0,x=-\frac{9}{2}, x=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]-3x(4x^2-81)(x^2+64)=0\\[/tex]
multiply the terms together
[tex]-12x^5-525x^3+15552x=0[/tex]
factor left side of the equation
[tex]3x(-x^2-64)(2x+9)(2x-9)=0[/tex]
set factors equal to 0
[tex]x=0,x=-\frac{9}{2}, x=\frac{9}{2}[/tex]
If f(x)=5x-2 and g(x)=2x1 find (f+g)(x)
Answer:
D
Step-by-step explanation:
5x-2+2x+1
5x+2x+1-2
7x-1
A sample of size 400 was drawn and sample mean was found t
be 99. Test whether this sample could have come from a normal
population with mean 100 and variance 64 at 5%
significance.
Answer:
etrf4f3dvef3rf3rfr2wrgwrf2rg3rf3rgerferferfef I'm
y 2 +2y+1 Identify a= b= c= Factor m= Factor n= Factored Form :
Answer:
a = 1
b = 2
c = 1
Factored form: (y + 1)^2 or (y + 1)(y + 1)
Step-by-step explanation:
Which of the following best describes the slope of the line below?
A. Negative
B. Undefined
C. Positive
D. Zero
PLEASE HELP
Answer:
A. negative
Step-by-step explanation:
It is clear from the accompanying graph that the value of y decreases as the value of x grows. The line has a negative slope, and the right answer is C, as shown by the inverse connection between the values of x and y.
Reasoning for other incorrect options:
The slope is positive if the connection between x and y is positive (y rises as x rises, and vice versa). As a result, choice A is incorrect.It is an undefined slope if the value of y varies without the value of x changing. A horizontal line is used to symbolize it. Option B is thus untrue.The slope of a line is zero and is determined by a vertical line if the value of x varies but the value of y stays the same. So, the option D is incorrect.If slope is denoted by m, then the line with various slopes is depicted in the picture below.See photo for questions.
Answer:
1. "a" [tex]u'=6x[/tex]
2. "d" [tex]v'=15x^2[/tex]
3. "b" [tex]y'=75x^4+30x^2+6x[/tex]
Step-by-step explanation:
General outline:For parts 1 & 2, apply power ruleFor part 3, apply product rulePart 1.
Given [tex]u=3x^2+2[/tex], find [tex]\frac{du}{dx} \text{ or } u'[/tex].
[tex]u=3x^2+2[/tex]
Apply a derivative to both sides...
[tex]u'=(3x^2+2)'[/tex]
Derivatives of a sum are the sum of derivatives...
[tex]u'=(3x^2)'+(2)'[/tex]
Scalars factor out of derivatives...
[tex]u'=3(x^2)'+(2)'[/tex]
Apply power rule for derivatives (decrease power by 1; mutliply old power as a factor to the coefficient); Derivative of a constant is zero...
[tex]u'=3(2x)+0[/tex]
Simplify...
[tex]u'=6x[/tex]
So, option "a"
Part 2.
Given [tex]v=5x^3+1[/tex], find [tex]\frac{dv}{dx} \text{ or } v'[/tex].
[tex]v=5x^3+1[/tex]
Apply a derivative to both sides...
[tex]v'=(5x^3+1)'[/tex]
Derivatives of a sum are the sum of derivatives...
[tex]v'=(5x^3)'+(1)'[/tex]
Scalars factor out of derivatives...
[tex]v'=5(x^3)'+(1)'[/tex]
Apply power rule for derivatives (decrease power by 1; mutliply old power as a factor to the coefficient); Derivative of a constant is zero...
[tex]v'=5(3x^2)+0[/tex]
Simplify...
[tex]v'=15x^2[/tex]
So, option "d"
Part 3.
Given [tex]y=(3x^2+2)(5x^3+1)[/tex]
[tex]\text{Then if } u=3x^2+2 \text{ and } v=5x^3+1, y=u*v[/tex]
To find [tex]\frac{dy}{dx} \text{ or } y'[/tex], recall the product rule: [tex]y'=uv'+u'v[/tex]
[tex]y'=uv'+u'v[/tex]
Substituting the expressions found from above...
[tex]y'=(3x^2+2)(15x^2)+(6x)(5x^3+1)[/tex]
Apply the distributive property...
[tex]y'=(45x^4+30x^2)+(30x^4+6x)[/tex]
Use the associative and commutative property of addition to combine like terms, and rewrite in descending order:
[tex]y'=75x^4+30x^2+6x[/tex]
So, option "b"
Find the missing side of this right
triangle.
19
X
X =
16
✓[?]
Answer:
x = sqrt(105)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
16^2 + x^2 = 19^2
256 + x^2 = 361
x^2 = 361 -256
x^2 =105
Take the square root of each side
sqrt(x^2) = sqrt(105)
x = sqrt(105)
Of the three functions in the tables, which represent linear relationships?
Answer:
D. f and h
Step-by-step explanation:
The function f is a liner function because for every increase in x, there is a proportional increase in f(x). This can be seen when the x value goes from 2 to 4, so a 2 unit increase, the f(x) value increases by 3. Since this is true for every interval of 2 in f(x) -- increase x by 2 results in an increase in 3 of f(x) -- then f(x) is a linear function.
The same principle can be applied to h(x), with each 4 unit increase in x, the h(x) value increase by 36.
The function g(x) is not a linear function because for each unit increase of x, there is not a proportional increase (or decrease) in g(x). As seen in the table, g(2)-g(1)= 8-4= 4. For g(x) to be a linear function, every other one unit increase in x should result in a 4 unit increase in g(x0. But this does not occur. g(3)-g(2)= 16-8= 8 , g(4)-g(3)= 32-16= 16, 8 and 16 are not equal to four so g(x) cannot be a linear function.
Steps for solving 5(2x-8)= 20 are shown.
5(2x-8)= 20
10x-40-20
10x-40+40-20 + 40
10x = 60
10x 60
10
10
X-6
Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property
The one which is not part of the solution is option D. Using the commutative property.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
5(2x-8)= 20
By Using the distributive property
10x-40-20 = 0
Combining like terms
10x-40+40-20 + 40 = 0
Dividing both sides by 10 to isolate the variable
10x = 60
x = 6
Thus, we can see that all the options are included except option D.
So, the one which is not part of the solution is option D. Using the commutative property.
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Which table represents a nonlinear function?
Se encarga del estudio de los triángulos rectilíneos
Answer:
Rectilíneo generalmente indica una figura representativa de hacer una línea recta oa lo largo de una línea recta o en una línea recta. En términos matemáticos, es una figura plana delimitada por segmentos de línea. En otras palabras, una figura plana totalmente compuesta de segmentos de línea se conoce como figura rectilínea. Ahora bien, si te preguntas ¿qué es una figura plana? Entonces, sepa que cuando ponemos la punta de un lápiz en una hoja de papel y nos movemos de un punto a otro, sin levantar el lápiz, entonces las formas que se forman son lo que llamamos curvas planas.
The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9, 400.00 is collected. How many children and how many adults attended?
1600 children and 1400 adults attended
How to determine the number of adults?Let the children be x and adult be y.
So, we have the following equations:
x + y = 3000
1.5x + 5y = 9400
Make x the subject in x + y = 3000
x = 3000 - y
Substitute x = 3000 - y in 1.5x + 5y = 9400
1.5(3000 - y) + 5y = 9400
Expand
4500 - 1.5y + 5y = 9400
Evaluate the like terms
3.5y = 4900
Divide both sides by 3.5
y = 1400
Substitute y = 1400 in x = 3000 - y
x = 3000 - 1400
Evaluate
x = 1600
Hence, 1600 children and 1400 adults attended
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