Answer:
No real solution
Step-by-step explanation:
[tex]3x^2-4x+4=0\quad\implies\quad a=3\,,\quad b=-4\,,\quad c=4\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot3\cdot4}}{2\cdot3}=\dfrac{4\pm\sqrt{-32}}{6}[/tex]
There is no solution in real number as it's no real √[-32]
{solutins in complex numbers would be: [tex]x_1=\frac{4+4\sqrt{2}\,i}{6}=\frac{2+2\sqrt{2}\,i}{3}\\ x_2=\frac{2-2\sqrt{2}\,i}{3}[/tex] }
Write a real world problem involving multiplication by a decimal factor then solve the problem
Answer:
See Explanation
Step-by-step explanation:
We start by writing a real world problem
The cost of a pack of candle and a dozen of eggs is $12.5 and $11.3 respectively. If Ridwan intends to buy 2 dozen eggs and half pack of a candle, what should be Ridwan's budget.
Next; is to solve the above problem
We continue by listing out the given parameters
A pack of candle = $12.5
A dozen of egg = $11.3
Required
What is the cost of 2 dozen egg and half pack of candle?
We start by calculating the cost of 2 dozen egg
[tex]Cost = 2 * 1\ dozen\ egg[/tex]
[tex]Cost = 2 * \$11.3[/tex]
[tex]Cost = \$22.6[/tex]
Then, we calculate the cost of half pack of Candle
[tex]Cost = \frac{1}{2} * 1\ pack\ of\ candle[/tex]
[tex]Cost = \frac{1}{2} * \$12.5[/tex]
[tex]Cost = \$6.25[/tex]
Lastly, we add up the two costs;
[tex]Total = \$22.6 + \$6.25[/tex]
[tex]Total = \$28.85[/tex]
A drink is made from 1.5 litres of orange juice and 7.5 litres of lemonade. What fraction of the drink is orange juice? (simplest form)
==================================================
Explanation:
1.5 liters of orange juice
7.5 liters of lemonade
1.5+7.5 = 9 liters total
1.5/9 = 15/90 is the fractional amount of orange juice. Note how I multiplied top and bottom of the first fraction by 10 to get 15/90. This is the same as moving the decimal point 1 spot to the right for each value.
----------
From here you divide both parts by the GCF 15 to reduce
15/15 = 1
90/15 = 6
Meaning 15/90 = 1/6
So 1/6 of the drink is orange juice.
Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She works on Saturday and Sunday. Assuming she sells the same amount on both days, how much will her sales have to be each day in order to earn at least $500 over the two days?
A. $1,572
B. $350
C. $648
D. $786
Answer:
A. $1572
Step-by-step explanation:
Saturday and Sunday Base Salary: 140+140 = 280
Subtract Base Salary: 500-280 = 220
Find Percent: (220/14)* x 100 = 1571.43
Round up: 1572
Answer:
A. $1,572
Step-by-step explanation:
She earns $140 per day as her base salary.
And she earns 14% of her daily sales for both days.
So 280 + 1, 292 = 1,572!
Hope dis helps! :P
- Anna
3k - 2c + 8
use k = 7 and c = 4
Answer:
21
Step-by-step explanation:
3 (7) - 2(4) + 8
21 - 8 + 8
13 + 8
21
Answer:
21
Step-by-step explanation:
3k - 2c + 8
k = 7 and c = 4
Substitute the values of k and c in the algebraic expression
3(7) - 2(4) + 8 = 21 - 8 + 8 = 21
Simplify each of the following:
2
1. (3+4i ) + ( 19 - 5i)
I hope this helps you
(3+19)+(4i-5i)
22-i
72p-25p compine like terms
Answer:
47p
Step-by-step explanation:
Since both have coefficients times the same variable we can combine like terms
72p-25p
(72-25)p
47p
Complete the following statement. Write your answer as a decimal or whole number
% of $96 = $72
Answer:
75%
Step-by-step explanation:
let the unknown percent be x.
[tex]\frac{x}{100}*96=72\\\frac{96x}{100}=72\\ 96x=72*100\\96x=7200\\\frac{96x}{96}=\frac{7200}{96}\\ x=75%[/tex]
Answer:
Step-by-step explanation:
x/100 * 96 = 72
96x = 7200
x = 75
Need help pls help if u can
Choose all the fractions that are equivalent to 1/8 HELP ME A.2/14 B .4/28 C.5/35 D.2/8 E.7/49 F.7/40
Answer:
None of the options seem to be equivalent to 1/8 but A, B, and C all are equivalent.
Step-by-step explanation:
Let's simplify each fraction as much as possible.
A:
2/14 = 1/7
B:
4/28 = 1/7
C:
5/35 = 1/7
D:
2/8 = 1/4
E:
7/49 = 1/7
F:
7/40 (cannot be further simplified)
I think you may have a typo in your question as there are no answers. However if the question is asking for 1/7, the answers are A, B, C, E.
Bernard's bird feeder holds 4 1/2 cups of birdseed. Bernard is filling the bird feeder with a scoop that holds 9/10 of a cup. How many scoops of birdseed will Bernard put into the feeder? Write your answer as a fraction or as a whole or mixed number.
Answer:
5 scoops
Step-by-step explanation:
Given
[tex]Feeder = 4\frac{1}{2}[/tex]
[tex]Scoop = \frac{9}{10}[/tex]
Required
Determine the number of scoop in a feeder
To do this, we simply divide the size of the feeder by the size of the scoop as follows;
[tex]Number = \frac{Feeder}{Scoop}[/tex]
[tex]Number = 4\frac{1}{2}/\frac{9}{10}[/tex]
Convert Fractions to improper
[tex]Number = \frac{9}{2}/\frac{9}{10}[/tex]
[tex]Number = \frac{9}{2}*\frac{10}{9}[/tex]
[tex]Number = \frac{9 * 10}{2 * 9}[/tex]
[tex]Number = \frac{90}{18}[/tex]
[tex]Number = 5[/tex]
Hence, there are 5 scoops in a feeder
how do I get the correct answer?
Answer:
1989.674m³
Step-by-step explanation:
It’s difficult to see the picture, and I can’t read the question. Are you looking for the volume of the composite shape? If so:
Cylinder: V=[tex]\pi[/tex]r²h =
Cone: V=[tex]\pi[/tex]r²h/3 =
Hemisphere: V=2/3[tex]\pi[/tex]r³ = 2/3
TOTAL: 1570.796+157.079+261.799=1989.674m³
Krysten is having some friends over and is buying some drinks. She buys a 4 pack of canned sodas for $12.00. What is the unit rate for the soda in can?
Answer:
3 dollars per can
Step-by-step explanation:
12/4
12 divided by 4=3
4 divided by 4=1
3/1=3
Help please inverse / direct variations problem
Answer:
y = 30
Step-by-step explanation:
y ∝ 1/x
y = k/x → y = 60/x
12 = k/5 y = 60/2
60 = k y = 30
I hope this helped you :)
Write the Pythagorean triplet whose one of the numbers is 4. Explain your method.
Answer:
3,4,5 is the Pythagorean triplet
Step-by-step explanation:
A pythagorean triplet is when you have 3 consecutive numbers (for example 1,2,3 or 9,10,11). So since they've already given one of the numbers you can try doing trial and error to find out(use different combinations like 3,4,5 or 4,5,6) and see whether the Pythagoras theorem applies to it.
6. Give an example of an irrational number that is greater than 10.
The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 72% of the carbon-14 expected in living matter, when did the tree die?
Answer:
t =2654.01465 year
Step-by-step explanation:
Given that the half-life of carbon-14 is 5600 years and if a piece of charcoal made from the wood of a tree shows only 72% of the carbon-14 expected in living matter.
we know
[tex]y=a(b)^{t/h}[/tex]
where y= final amount
a= initial amount
b= growth/decay
t= time elapsed
h= half time
plugging the values we get
[tex]0.72 =(\frac{1}{2})^{t/5600}\\[/tex]
taking log on both side
log 0.72 = t/5600 log(1/2)
solving we get t =2654.01465 year
8x + 2 + 4y; x = 9, y = 2
Answer:
82
Step-by-step explanation:
plug in and multiply
Answer:
Step-by-step explanation:
8x + 2 + 4y
Let x = 9 and y = 2
8*9 + 2 + 4*2
72 + 2+ 8
82
so I am in algebra 1 and I need help with A+B=C but it says solve for A and I wanted to see if you can show how to do it for more questions in the future
Answer:
A = C-B
Step-by-step explanation:
A+B=C
Subtract B from each side
A+B-B=C-B
A = C-B
Mark is paddling his kayak across a lake at a constant velocity of 64 meters
per minute to the east. He has 15 minutes to finish his trip before it gets
dark. How long will it take Mark to move 480 meters?
Answer:
7.5r minutes
Step-by-step explanation:
480 divided by 64 = 7.5
The dimension of the rectangle prism show are given in centimeters 4 cm 3 cm 1.4 cm what is the volume of the rectangular prism in the cubic centimeter
Answer:
16.8 cubic centimeter
Step-by-step explanation:
Dimensions of rectangular prism are:
[tex]4\ cm, 3\ cm , 1.4\ cm[/tex]
To find:
The volume of rectangular prism in cubic cm ?
Solution:
The formula for volume of prism is given as:
[tex]V=l\times w\times h[/tex]
Where [tex]l[/tex] is the length of rectangular prism
[tex]w[/tex] is the width of rectangular prism
[tex]h[/tex] is the height of rectangular prism
Here we are given the three dimensions of prism as:
Length, [tex]l[/tex] = 4 cm
Width, [tex]w[/tex] = 3 cm
Height, [tex]h[/tex] = 1.4 cm
Putting the values in formula for volume:
[tex]V=4\times 3\times 1.4\\\Rightarrow \bold{V =16.8\ cm^3}[/tex]
So, volume is 16.8 cubic centimeter.
Answer:
16.8
Step-by-step explanation
(4 cm times 3 cm) = 12 cm times 1.4 = 16.8
hope i got it correct :)
Find the volume of the rectangular prism below.
2 1/2yd
5 3/4yd
8 yd
I hope this helps you
Which line is perpendicular to y =
[tex] \frac{x}{2} [/tex]
+1
If [tex]y=\frac{x}{2}+1[/tex] then [tex]y_{\perp}=-2x+1[/tex].
The slope in first line is [tex]1/2=0.5[/tex], therefore the slope of perpendicular line must be [tex]-1/0.5=-2[/tex].
Hope this helps.
188= 45 - v = please help solve for v
Answer:
v=-143
Step-by-step explanation:
45-v=188
-v=188-45
-v=143
v=-143
Answer:
Step-by-step explanation:
45 - v = 188
-v = 188 - 45
-v = 143
v = -143
1 point
A video game tournament, in which gamers compete in multiple games
and accumulate an overall score, pays the top 20 finishers. First place
receives $5000, second place receives $4800, third place receives $4600
and so on until the 20th finisher receive $1200 and then no more prize
money is awarded. How much total prize money is awarded? *
Answer:
$62,000
Step-by-step explanation:
There are 20 people.
You have to add $5000 and $1200, which equals $6,200.
You have to multiply that by 10 to get the answer.
Select all of the following scenarios below that contain nonbiased samples.
Select all that apply:
✓ To estimate the political party distribution of residents in his state, Frank collects data from a large group of
randomly selected residents of his city.
✓ To estimate the mean number of classes that students take at his university, Samuel collects data from a
randomly selected proportionate number of students from each grade level.
David wants to estimate the mean grade point average of students at his school. He collects data by recording the
grade point average of every 25th student on the list of students after a randomly selected first student
Helen wants to estimate the male to female ratio of the residents of her city. She collects data by recording the sex
of every 50th resident after selecting a random starting point on a list of residents,
Answer:
b.) To estimate the mean number of classes that students take at his university, Samuel collects data from a randomly selected proportionate number of students from each grade level.
c.) David wants to estimate the mean grade point average of students at his school. He collects data by recording the grade point average of every 25th student on the list of students after a randomly selected first student.
d.) Helen wants to estimate the male to female ratio of the residents of her city. She collects data by recording the sex of every 50th resident after selecting a random starting point on a list of residents.
Why? Because a sample is only biased if some individuals of the population are more or less likely to be chosen than others.
The sample from choice B isn't biased because every student has the same opportunity of being selected. It's the same predicament with choice C; it's also non-biased because again, each student has a chance of being in it, there is no preference.
And finally, the sample from option D is non-biased, because every resident that is being selected has an equally fair chance of being selected at random.
Hope this helps ;)
Answer:
Step-by-step explanation:
To estimate the mean number of classes that students take at his university, Samuel collects data from a randomly selected proportionate number of students from each grade level.
David wants to estimate the mean grade point average of students at his school. He collects data by recording the grade point average of every 25th student on the list of students after a randomly selecting first student.
Helen wants to estimate the male to female ratio of the residents of her city. She collects data by recording the sex of every 50th resident after selecting a random starting point on a list of residents.
there are 12 students in the gym class if 4 students can sit on 1 bench how many benches are needed for all the students
A. 12+4= 16
B. 12×4= 48
C. 12÷4= 3
E. 12-4= 8
Answer:
C. 12÷4= 3 is correct
as in the question 4 students can sit on one bench than 4×3=12 which is equal to the total number of students in class.
Step-by-step explanation:
hope it will help ^_^
3 bench are needed for all students
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value
We have
Students in the gym = 12
how many students can sit in 1 bench = 4
Based on the given conditions formulate:
12 ÷ 4 = 3
Hence , 3 bench are needed for all students and option C is correct.
learn more about unitary problem from here
https://brainly.com/question/21626677
#SPJ2
Solve & Justify: 7(x + 3) + 9 = 5(x - 2) - 3x
Answer:
x = -8
Step-by-step explanation:
[tex]7(x + 3) + 9 = 5(x - 2) - 3x\\\\\mathrm{Expand\:}7\left(x+3\right)+9:\quad 7x+30\\\\\mathrm{Expand\:}5\left(x-2\right)-3x:\quad 2x-10\\7x+30=2x-10\\\\\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}\\7x+30-30=2x-10-30\\\\Simplify\\7x=2x-40\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\7x-2x=2x-40-2x\\\\Simplify\\5x =-40\\\\Divide both sides by 5\\\frac{5x}{5}=\frac{-40}{5}\\\\Simplify\\x = -8[/tex]
Justification [tex]7(x + 3) + 9 = 5(x - 2) - 3x\\x=-8\\\\7(-8+3)+9=5(-8-2)-3(-8)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(-8+3\right)\::\quad -5\\=7\left(-5\right)+9\\\\=-35+9\\\\=-26\\\\5\left(-8-2\right)-3\left(-8\right)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(-8-2\right)\::\quad -10\\=5\left(-10\right)-3\left(-8\right)\\\\=-50-3\left(-8\right)\\\\=-50-\left(-24\right)\\\\=-26\\[/tex][tex]-26 =-26[/tex]Find the mean distance (○｀ 3′○)
Answer:
189.571428571 miles or km
Step-by-step explanation:
Just deduct the last odometer reading with the first one and divide by the number of days,
(11,477-10,150)/7 = 189.571428571
The problem has been started for you. 670 StartLongDivisionSymbol 2345.0 EndLongDivisionSymbol minus 2010 to get a remainder of 3350 and a quotient of 3.blank.
Answer:
The answer is 3.5
Step-by-step explanation:
I just got it right on the instruction.
Evaluate the following function for f(x)=−3 f(x)=2x+5
Answer:
x = -4
Step-by-step explanation:
Step 1: Write out given
f(x) = -3
f(x) = 2x + 5
Step 2: Substitute f(x)
-3 = 2x + 5
Step 3: Solve for x
-3 - 5 = 2x + 5 - 5
-8 = 2x
-8/2 = 2x/2
-4 = x
Answer:
x = - 4Step-by-step explanation:
f(x)=2x+5
To find f(x)=−3 equate f(x) to - 3 and evaluate
That's
2x + 5 = - 3
Subtract 5 from both sides
That's
2x + 5 - 5 = - 3 - 5
2x = - 8
Divide both sides by 2
[tex] \frac{2x}{2} = - \frac{8}{2} [/tex]
We have the final answer as
x = - 4Hope this helps you