Answers
The solution of m for question 6 and the value of z for question 10 does not exist.
According to the question,
We have the following information,
6) 1/3 + 2m/3 = 2m/3-2/3
Now, moving the terms with the same variables in one side:
2m/3-2m/3+1/3 = -2/3
Now, when 2m/3 is subtracted from 2m/3 then we have no variable left.
So, the solution of this equation does not exist.
10) 2.5(2z+5) = 5(z+2.5)
Now, multiplying the numbers outside the bracket into bracket:
5z+12.5 = 5z+12.5
Moving the terms with the same variables on one side:
5z-5z+12.5 = 12.5
Now, when 5z is subtracted from5z then we have no variable left.
So, the solution of this equation does not exist.
Hence, the solutions of the equation 6 and equation 10 does not exist.
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Related Questions
the ages of three friends are represented by 3 consecutive odd integers. the sum of their ages is 63. if the youngest of the three is represented by x , what equation could be used to find x?
Answers
x + (x + 2) + (x + 4) = 63
Step by step
We know x is the youngest
We know our next number is 2 more than x because we are skipping the even number to go to the next odd number so
(x + 2)
We know the 3rd number is 2 more than the previous number because again, we are skipping the even number to go to the next odd number so
(x + 4)
And the 3 numbers added together = 63
x + (x + 2) + (x + 4) = 63
Is your answer
To solve we would have
3x + 6 = 63
Subtract 6 from both sides to combine constants
3x +6 -6 = 63 - 6
Combine
3x = 57
Divide both sides by 3 to solve for x
3/3 x = 57/3
x = 19
x + 2 = 21
x + 4 = 23
Added together = 63
Problem solved!
It takes 2 cups of water to cook 1 cup of rice.
How much water dose it take to cook 6.5 cups of rice?
Answers
Answer:
13 cups of water.
Step-by-step explanation:
6.5 x 2 = 13
Answer = 13.
Hope this helps!
Btw, brainliest if correct, thanks!
Eloise practiced piano for 2/5 of an hour. Sarah practiced piano for 3/4 of an hour.
How much longer did Sarah practice than Eloise?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answers
Sarah practiced 7/20 of an hour more than Eloise
Given
Eloise did practice 2/5 of an hour
Sarah practiced for 3/4 of an hour
total time spent by Eloise = 2/5 x 60
= 24 minutes
Total time spent by Sarah = 3/4 x 60
= 45 minutes
Hence Sarah spent 45-21 minutes more.
Sarah spent 21 minutes more than Eloise
Converting into fractions 21 minutes will be,
a/b x 60 =21
7/20 minutes
As a result, Sarah practiced the piano for 7/20 more minutes than Eloise.
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I messed up and didn’t show this for my last question, so sorry on my part.
Evaluate the function for the following values
f(-2)=
f(0)=
f(3)=
Answers
The sun three times a number x and 10 is -14
Answers
Answer: 3x+10=-14
I'm assuming you mean the sum three times a number x is -14
Step-by-step explanation:
3 times is 3 multiplied with a number, 3x
sum means the value you get from addition so it would be 3x+10 as its a number and ten
as the sum is -14 you set 3x+10 equal to -14
4) Write the coordinates of the vertices after a translation 4 units left and 2 units down.
-10 -8 -6
-4
2
>
104
8
6
72
T
2
-4
-6
IN
2
4
6
10
U
Answers
Answer:
Step-by-step explanation:
Can you write it in lines instead of like that, I can answer if you do that.
Tom is trying to write 3/47 as a decimal. he used long division and divided until he got the quotient 0.0638297872, at which point he stoped. since the decimal doesnt seem to terminate or repart, he concluded that 3/47 is not rational. do you agree or deagree? why?
Answers
Answer:
Disagree
Step-by-step explanation:
The decimal expansion may have a longer period than the division he carried out.
by selling a toy for rupee 25 , a man gains 25%. find the CP of the toy
find the answer
Answers
Answer:
CP=Rs 20
Step-by-step explanation:
Selling price=Rs 25
Gain percent=25
then,
Cp =100*25/100+25
Cp=2500/100+25
Cp=2500/125
CP=Rs 20
Answer:
CP = ₹ 20
Step-by-step explanation:
Finding the Cost price:[tex]\sf \boxed{CP =\dfrac{100 }{(100+gain \ percent)}*SP}[/tex]
Gain % = 25%
SP = ₹ 25
[tex]\sf CP = \dfrac{100}{100+25}*25\\\\ CP = \dfrac{100}{125}*25[/tex]
= ₹ 20
Write the equation of a line perpendicular to 8x-3y=-4 that passes through the point (-8,2).
Answers
Answer:
y=-8/3x-58/3
Step-by-step explanation:
8x-3y=-4 is y=8/3x+4/3
Make x negative so it is perpendicular
The plug (-8,2) so
2=8/3(-8)+b
Then
2=-64/3+b
-58/3=b plug b in to the equation so
You get
y=-8/3x-58/3
give brainliest pls
Answer:
3x + 8y = - 8
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
8x - 3y = - 4 ( subtract 8x from both sides )
- 3y = - 8x - 4 ( divide through by - 3 )
y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{8}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{8}{3} }[/tex] = - [tex]\frac{3}{8}[/tex] , then
y = - [tex]\frac{3}{8}[/tex] x + c ← is the partial equation of the perpendicular line
to find c substitute (- 8, 2 ) into the partial equation
2 = 3 + c ⇒ c = 2 - 3 = - 1
y = - [tex]\frac{3}{8}[/tex] x - 1 ← equation of perpendicular line in slope- intercept form
multiply through by 8 to clear the fraction
8y = - 3x - 8 ( add 3x to both sides )
3x + 8y = - 8 ← equation of perpendicular line in standard form
2.56 = 2w solve for w
Answers
Answer: w=1.28
Step-by-step explanation:
swap the sides of the equation
2w=2.56
divide both sides of the equation by two
w=1.28
Does This graph represents a proportional or not proportional relationship
Answers
The given graph is a proportional Relationship graph.
What are proportional relationship graph?A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same.
Let us formulate a table of values of given graph
Time Distance
5 6
10 12
15 18
Now let us check whether the given values are making equivalent ratios or not by definition of proportional graphs.
5/6 is one
10/12 is 5/6
15/18 is 5/6
Hence the ratios are equivalent. The graph has same slope everywhere and passing through the origin.
Hence the graph is Proportional.
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175/500 as a percentage
Answers
Answer:
35%
Step-by-step explanation:
175/500
.35
35%
hope this helped
btw what did you just fail... lol ?
the sat and act college entrance exams are taken by thousands of students each year. the mathematics portions of each of these exams produce scores that are ap- proximately normally distributed. in recent years, sat mathematics exam scores have averaged 480 with standard deviation 100. the average and standard deviation for act mathematics scores are 18 and 6, respectively.
Answers
a) 75.80 percentage of students will be scoring below 550 in a typical year.
b) 22.2 marks should be set by the engineering school setas a comparable standard on ACT math test.
Here we have been mentioned that in the recent years, sat maths exam scores have averaged 480 with standard deviation 100. the average and standard deviation for act mathematics scores are 18 and 6, respectively.
a) The percentage of the students scoring below 550 marks in a typical year is calculated as follows:
Let x be the SAT score
So, x follows normal distribution
Given above,
mean (μ) = 480
standard deviation (σ) = 100
we will find P ( x < 550)
We will use the excel function NORM.DIST to find the required probability
P(x < 550) = NORM.DIST[tex](550, 480, 100, TRUE)[/tex]
= 0.7580
= 75.80%
Hence the percentage of the students who are scoring below 550 in a typical year = 75.80%
b) We calculate the score to be set by the engineering school as a comparable standard on the ACT math test as follows:
Let Z be the ACT score
Z follows the normal distribution
Given above, μ = 18 and σ = 6
Let Z' be the ACT score comparable to the standard set for SAT
Then we need to find Z' such that P(Z < Z') = 75.80% = 0.758
From standard normal tables we get Y' such that
Z' = NORM.INV[tex](0.758, 18, 6)[/tex]
= 22.2
The ACT score that needs to be set by the college = 22.2 marks
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The remainder is what number (only type the number)
1. What is P(-2) given that P(x) = x - 3x² + 5x + 10?
Answers
x+3x-y+y+2z+z
help please its my rsm homework
Answers
Answer:
the answer is 4x + 3z
Step-by-step explanation:
1x + 3x + -1y + 1y + 2z + 1z
1x + 3x = 4x
-1y + 1y = 0
2z + 1z = 3z
so the answer is 4x + 3z
x + 3x - y + y + 2z + z
→ 4x + 3z
In this expression, y cancels out because -1 + 1 = 0, and would therefore have no value.
Answer Recap: The simplified version of this expression would be:
→ 4x + 3z
Bryant learned a total of 12 appetizer recipes over the course of 3 weeks of culinary school. After 12 weeks of culinary school, how many total appetizer recipes will Bryant know?
Answers
After 12 weeks, Bryant will know 48 appetizers
How to calculate the number of appetizers ?The first is to calculate the number of appetizers learnt in one week
12= 3
x= 1
cross multiply both sides
3x= 12
x= 12/3
x= 4
The number of appetizers learnt in 12 weeks can be calculated as follows
4= 1
y= 12
cross multiply both sides
y= 12 × 4
= 48
Hence 48 appetizers was discovered in 12 weeks
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Complete the empty table from the provided information.
Translate the graph of f(x) up 2 units.
Write the equation of the resulting line in slope intercept form.
Answers
On Friday, Ariel received a $450 paycheck. On
Saturday, she spent $30 on gasoline and $15 on lunch.
What percent of her paycheck did Ariel spend on
Saturday?
Answers
Answer:
10%
Step-by-step explanation:
30+15=45
45 is 10% of 450 as 450/10= 45
The Chan’s minivan requires 5 gallons of gasoline to travel 120 miles. How many gallons of gasoline will they need to travel 360 miles?
Answers
Answer:
15 gallons
Step-by-step explanation:
360 divided by 120= 3
3×5=15
Consider U = {x|x is a positive integer greater than 1}.
Which is an empty set?
{x|x € U andx is prime}
O {x|x E U and 2x is prime}
{x|x € U and x can be written as a fraction}
{x|x E U and 2x can be written as a fraction}
Answers
Options 3 and 4 are empty sets.
What is an empty set?Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.
We can also define finite and infinite sets based on the number of elements in a set. An empty set is denoted by the symbol '∅' and is read as 'phi'.
Given U = {x|x is a positive integer greater than 1},
It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).
As the elements in the option 3 and 4 are fractions, therefore they are empty set as integers don't include fractions or decimals. Integer, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.
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What type of reasoning is used to find the next amount of train cars? Explain your
answer.
Answers
Using an arithmetic sequence, it exists found that the next amount of train cars that exists of 6.
What is an arithmetic sequence?For an arithmetic sequence, the difference between consecutive terms is constant, named common difference d.
The nth term of an arithmetic sequence exists given by the following rule: an = a1 + (n-1)d
Where a1 is the first term.
In the context of this problem, from the image, the number of train cars can be modeled by the following sequence exists (0, 2, 4, ...).
Which exists an arithmetic sequence with:
The first term of 0.
A common ratio of 2.
Therefore the next term of the sequence is given by:
4 + 2 = 6.
As 4 is the last term and 2 is the common ratio.
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9. Which phrase best describes the translation from the graph y = (x - 2)2 to the graph of y=x²-3? O2 units left and 3 units up O2 units left and 3 units down O 2 units right and 3 units up O 2 units right and 3 units down
Answers
The transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down therefore, option (B) is correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
As per the given graph y = (x - 2)²
A function will shift a unit left for x → x + a and b units down if y → y - b.
Replace x → x + 2 and y → y - 3
y = (x + 2 - 2)² - 3
y = x² - 3
Therefore, the transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down".
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Which inequality comparing two of the expressions is true when 0.1 ≤x≤0.4?
Answers
√x > x↑2
This is because, x↑2 is equal to -.4 and √x is equal to 0.1. This means x equals to 0.2
The solution is : The true inequality is √x > x³, Option C.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
Here, we have,
Given 0.5≤ x ≤ 0.7
According to the range of x, we will check which option is true
Let x = 0.6
A. x/3 > √x
If x = 0.6
∴0.6/3 > √0.6 ⇒ 0.2 > 0.77 ⇒ Wrong inequality
B. x³ > 1/x
If x = 0.6
∴ 0.6³ > 1/0.6 ⇒ 0.216 > 1.667 ⇒ Wrong inequality
C. √x > x³
If x = 0.6
∴ √0.6 > 0.6³ ⇒ 0.77 > 0.216 ⇒ True inequality
D. (x/3) > (1/x)
If x = 0.6
∴ 0.6/3 > 1/0.6 ⇒ 0.2 > 1.667 ⇒ Wrong inequality
So, The true inequality is option C.
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complete question:
Which inequality comparing two of the expressions below is true when 0.5
The experimental of spinning a 1 or a 3 is _?
Answers
we have that
the experimental probability of spinning a 1 is 8 times
and
the experimental probability of spinning a 3 is 9 times
so
the experimental probability of spinning a 1 or a 3 is
8+9=17
answer is 17
5 -4y+y-3 how to you answer it?
Answers
Answer: -2[tex]Y^2[/tex]
Step-by-step explanation:
f(x)=y^5-2y^3+y find the zeros of this function
Answers
Answer: y=0 y=-1 y=1
Step-by-step explanation:
[tex]\displaystyle\\f(y)=y^5-2y^2+y\\\\y^5-2y^2+y=0\\\\y(y^4+2y^2+1)=0\\\\y((y^2)^2+2(y^2)(1)+1^2)=0\\\\y(y^2-1)^2=0\\\\y=0\\\\(y^2-1)^2=0\\\\y^2-1-0\\\\(y+1)(y-1)=0\\\\y+1=0\\\\y+1-1=0-1\\\\y=-1\\\\y-1=0\\\\y-1+1=0+1\\\\y=1[/tex]
A bag of tokens contains 5 red, 7 green, and 10 blue tokens. What is the probability that a randomly selected token is red? Enter your answer as a fraction.
Answers
SOLUTION
Notice that the total number of tokens is:
[tex]5+7+10=22[/tex]Notice that the number of red token is 5
Therefore the probability of that a selected token is red is:
[tex]P(R)=\frac{5}{22}[/tex]Abhasra made a trip to the town hall and back. On the trip there she drove 60 mph and on the return trip she went 75 mph . How long did the trip there take if the return trip took four hours ?
HELP ASAP PLEEASE!!
Answers
Answer:
Trip to town hall took 5 hours
Step-by-step explanation:
Distance traveled = Speed x Time
We know the return trip took 4 hours at 75 mph
So distance traveled from town hall to start = 75 x 4 = 300 miles
The distance from start to town hall is assumed to be the same.
So distance to town hall from start = 300 miles also
Time taken to travel 300 miles at 60 mph = 300/60 = 5 hours
3) Factories A and B produced potato chips. Last year, each factor
ingredient. Factory A reported their amounts in scientific ne
their amounts in standard form.
Ingredient Factory A (amount used in lbs) Factory B
Potato
4.87 × 106
5.61×10³
2.87 × 10³
a) Which factory used more oil last year? By how much'
Oil
Salt
b) what is the total amount of salt use by both factories?
c) what is the total weight of all of the ingredients in Factory A?
Answers
Factory A uses more oil by 2.05×10⁵ lbs, total salt used is 4.805×10⁵ lbs and total ingredients used in factory A are 57.18×10⁵ lbs.
a) The oil used by Factory A = 5.61×10⁵ lbs
The oil used by Factory B = 3,56,000 lbs
The oil used by Factory B = 3.56×10⁵ lbs
Comparing the coefficient. Since 5.61 is greater than 3.56, the factory A used more oil. Difference in amount = 5.61×10⁵ - 3.56×10⁵
Difference in amount = 2.05×10⁵ lbs
b) Salt used by Factory A = 2.87×10⁵ lbs
Salt used by Factory B = 193,500 lbs
Salt used by Factory B = 1.935×10⁵ lbs
Total salt used by both the factories = 2.87×10⁵ + 1.935×10⁵ lbs
Total salt used by both the factories = 4.805×10⁵ lbs
c) Potato used by Factory A = 4.87×10⁶ lbs
Potato used by Factory A = 48.7×10⁵lbs
Oil used by Factory A = 5.61×10⁵ lbs
Salt used by Factory A = 2.87×10⁵ lbs
Total ingredients used in Factory A = 48.7×10⁵ + 5.61×10⁵ + 2.87×10⁵ lbs
Total ingredients used in Factory A = 57.18×10⁵ lbs
2.05×10⁵ lbs more oil is used by Factory A, 4.805×10⁵ lbs is the total amount of salt used and 57.18×10⁵ lbs ingredients are used in factory A.
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The complete question is attached in figure.
Becky made a box in the shape of the triangular prism shown. If she were to wrap this box, how many square inches of wrapping paper would she need? Select one: O 225 square inches O 240 square inches O 156 square inches O 216 square inches
Answers
Answer:
216 square inches
Explanation:
To find out how many square inches of wrapping paper she would need, calculate the total surface area of the triangular prism.
The triangular prism has five faces:
• Two equal triangles with base 6 in. and height 4 in.
,• Two rectangles (Rectangle 1) of dimension 5 in. by 12 in.
,• A rectangle of dimension 6 in. by 12 in.
Therefore:
[tex]\begin{gathered} \text{Surface Area}=2(\text{Area of Triangle)+2(Area of Rectangle 1)+Area of Rect. 2} \\ =2(\frac{1}{2}\times6\times4)+2(5\times12)+(6\times12) \\ =24+120+72 \\ =216\; in^2 \end{gathered}[/tex]She would need 216 square inches of wrapping paper.