Answer:
[tex]y=\frac{3}{2} x+6[/tex]
Step-by-step explanation:
We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:
[tex]\frac{2}{3} y-4=x[/tex]
Taking the constant 4 to the side where x is to get:
[tex]\frac{2}{3} y=x+4[/tex]
Multiplying the denominator 3 to the other side of the equation to get:
[tex]2y=3x+12[/tex]
Isolating y to make it the subject:
[tex]y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6[/tex]
Solve for b
-3=4/3+b
Answer:
B= -4.3 or -13/3
Your school is planning a field trip to the zoo. There are two different bus companies that the school can use. Bus company A has a $25 rental fee of plus $4 for each student. Bus company B has a $115 rental fee plus $2 for each student. How many students will need to go in order for the bus to cost the same from both companies? a) 42 students b)73 students c)70 students d)45 students
Answer:
D. 45 students
25+4n=115+2n
-2n -2n
25+2n=115
-25 -25
2n=90
2n/2=90/2
n=45
The cost for both bus companies A and B is equal when there are 45 students on the trip. This result is achieved by setting the cost equations of the two companies equal to each other and solving for the number of students.
Explanation:To solve this problem, we set the cost equations for bus companies A and B equal to each other and solve for the number of students.
For company A, the cost is $25 (rental fee) + $4 per student. For company B, the cost is $115 (rental fee) + $2 per student.
So, the equation becomes: $25 + $4 * number of students = $115 + $2 * number of students.
If you rearrange that equation and solve for the student variable by subtracting $2 * students from both sides and subtracting $25 from both sides, you end up with $2 * students = $90.
This means that the number of students, when divided by $90 and $2, is equal to 45. Thus, 45 is the number of students for the bus cost from both companies to be equal. Therefore, the answer is (d) 45 students.
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what property does the number sentence show on 8+0=8
Answer:
The property for 8 +0 = 8, Additive Identity Property
Create a table of x and y values for the expression y/4=3/4x+2. Use the x values of -2,0, and 2. I need help with just number 2
Because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2 y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. Now you can do the same thing with 0 and 2 as x. You get y=8 when x=0 and y=14 when x=2.
x | y
-2 | 2
0 | 8
2 | 14
I WILL GIVE BRAINLIEST, PLZ HELP! 3 out of 4 students in a class play a team sport. There are 28 students in the class. How many play a team sport?
Answer:
21.
Step-by-step explanation:
As 3/4 of the students play, we just have to multiply 3/4 by the total number of students.
3/4 * 28 = 84/4, or 21. 21 students play a team sport.
What is the absolute value of point D? A.-6 B.9 C.7 D.-7
The absolute value of a number is its distance from zero on the number line, which is always positive or zero. If point D is -7, its absolute value would be 7, matching option D in the given choices.
Explanation:The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. Therefore, it is always a positive value or zero. In this case, whether point D is -6, 9, 7, or -7, the absolute value would be the positive counterpart of that number.
To find the absolute value of point D, we look for the option that falls in line with the definition of absolute value. For option A (-6), the absolute value is 6; for option B (9), the absolute value remains 9; for option C (7), the absolute value remains 7; and for option D (-7), the absolute value is 7.
Thus, considering point D is given a negative value in the question, the correct answer for the absolute value of point D is 7, which corresponds to choice C if the value of D is 7 or D if the value of D is -7.
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How would you simplify (log 27/logx) x (log x^2/log3)? I don’t think I did this correctly.
Answer:
6
Step-by-step explanation:
logx 27 * log3 x^2
The first step is to convert to base 10
(log 27/logx) * (log x^2/log3)
27 = 3^3 so we can rewrite this
(log 3^3/logx) * (log x^2/log3)
log a^b = b log a
(3 log 3/logx) * (2log x/log3)
We can cancel the log x in the numerator and denominator and the log 3 in the numerator and denominator
3 * 2
6
are the two statements equivalent the ratio of orange. to blue is 3 to 4
please help
Answer:
Although I'm not entirely sure of the question (sorry lol), any ratio that is 1.5:2 , 6:8 , 9:12 , 12:18 etc would be equivalent to 3 to 4.
Step-by-step explanation:
If you divide both 3 and 4 by 2 you'd wind up with 1.5 ( 3 ) and 2 ( 4 ). When multiplying, you'd get 3x2 = 6 and 4x2=8, 3x3 = 9 and 4x3 = 12 and so on.
on a piece of paper, graph f(x) = 2 • (3)^x. then determine which answer choice matches the graph you drew
I would make a table and plug in values for "x" in the equation to find f(x) or y
x = 0
[tex]f(x)=2*(3)^x[/tex]
[tex]f(0)=2*(3)^0[/tex](there is a rule that when the exponent is 0, the result is 1)
[tex]f(0)=2*1[/tex]
f(0) = 2 (0,2)
x = 1
[tex]f(x)=2*(3)^x[/tex]
[tex]f(1)=2*(3)^1[/tex]
[tex]f(1)=2*3[/tex]
f(1) = 6 (1,6)
You could do more points.
But these two points shows that the y-intercept (the y value when x = 0 or (0,y)) is 2, and that the graph is increasing.
Your answer is B
Graph B matches with the function.
What are functions?A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
How to know which answer choice matches the graph ?The given function is f(x) = 2 ([tex](3)^{x}[/tex])
As ([tex](3)^{x}[/tex]) is always a positive number for any value of x, the given function can never be negative.So, option C is wrong
Again,
As the value of x increases, the value of y also increases which contradicts option D.So, option D is also wrong.
Now,
If x = 0, we get y = 2So, option A is wrong
Hence option B is correct which also satisfies all the conditions mentioned above.
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Which of the following would be considered important in including in the summary of an experimental investigation?
A.) variables that were manipulated during the experiment
B.) number of scientists involved in the experiment
C.) list of all materials and equipment used in the experiment
D.) laboratory room number in which the experiment took place
Question: Which of the following would be considered important in including in the summary of an experimental investigation?
Answer: variables that were manipulated during the experiment
Explanation: A variable is anything that can change in an experiment.
question answered by
(jacemorris04)
Hi There!
Answer:
A.) variables that were manipulated during the experiment
Least important to most important steps to include in a summary:
variables that were manipulated during the experiment.list of all materials and equipment used in the experiment.number of scientists involved in the experiment.laboratory room number in which the experiment took place.Hope This Helps :)
-3x+y=-10 what does x equal?
Step-by-step explanation:
First , Subtract y from both sides:
−3x = −10 −y
Second, Divide both sides by −3
x = [tex]\frac{-10-y}{3}[/tex]
That's ur answer
Hope this helped u!!!
Good luck!!
Which expression is equivalent to
Answer: a is greater and less than -5 AND a is less than 5 (second choice)
Step-by-step explanation: they’re both valid inequalities when leaving the absolute value alone. |a| becomes a.
a bag contains 2 red marbles, 3 green marbles, and 2 black marbles what is the probability of drawing out a black marble
Answer:
P (black) = 2/7
Step-by-step explanation:
We need to know the total amount of marbles.
2 red + 3 green + 2 black = 7 marbles
P ( black) = number of black marbles / total marbles
= 2 /7
What's 3.7 in a fraction
Answer:
3 7/10
Hope that helped!
Answer:
3.7 converted into a fraction is [tex]\frac{37}{10}[/tex]
Step-by-step explanation:
Jones Manufacturing offers chain discounts of 5/4/2 to many of its preferred customers. Rowly Dress Shop purchased 40 dresses that had a total list price of $1,400. What was the net price paid by Rowly? What was the amount of trade discount? Use the net price equivalent rate and single equivalent discount rate in your calculations. Round final answers to nearest cent.
Answer:
1.What was the net price paid by Rowly
by 5/4/2 percentage 137000 cents,138400 cents,141200 cent
2.What was the amount of trade discount
by 5/4/2 percentage 7000 cents,5600 cents,2800 cents
Step-by-step explanation:
list price= $1,400
percentage discounts=5%
4%
and
2%
we have to find net price=?
we will calculate discount one by one
5% of 1400=[tex]\frac{5}{100}[/tex]×1400
5% of 1400=70
amount of trade discount for 5 %=70 dollar
we know that
1 dollar=100 cent
we will convert dollar into cents
7o dollar=70*100=7000 cent
Net amount paid for 5% discount=1440-70=1370 dollar
1370 dollar=1370*100=137000 cent
4% of 1400=[tex]\frac{4}{100}[/tex]×1400
4% of 1400=56
amount of trade discount for 4 %=56 dollar
56 dollar=56*100=5600 cent
Net amount paid for 4% discount=1440-56=1384 dollar
1384 dollar=1384*10138400 cent
2% of 1400=[tex]\frac{2}{100}[/tex]×1400
2% of 1400=28
amount of trade discount for 2%=28 dollar
28 dollar=28*100=2800 cent
Net amount paid for 2% discount=1440-28=1412 dollars
1412 dollar=1412*100=141200 cent
how much pizza sauce is need to cover a 16" pizza? (16" is the diameter of the pizza)
Answer:
Approximately 201.06 in² of pizza sauce is needed
(if using the approximation π ≈ 3.14, then the answer is 200.96 in²)
Step-by-step explanation:
We assume that the pizza is perfectly circular and that we want to cover the entire surface. We need the formula for the surface area of a circle which is
A = πr²,
where r is the radius of the pizza.
By definition, the diameter is twice the radius. So the radius of this pizza is half of 16'' = 16 inches, which is 8 in.
Therefore, (using a calculator value for π instead of 3.14 approximation),
A = π(8 in)² = 64π in² ≈ 201.06 in².
Approximately 201.06 in² of pizza sauce is needed.
If you are need to use the approximation π ≈ 3.14, then the answer is 200.96 in²
Answer:
201.06 square inches
Step-by-step explanation:
We need to cover the whole surface area of the pizza so if the pizza is a circular one (using the typical shape), then we can use the formula of the area of a circle.
Area of a circle = pi * r^2
We are given the diameter of the circle to be 16 inches so its radius will be 8 inches.
Substituting this value of radius in the formula to get:
[tex]\pi r^2[/tex] = [tex]\pi (8)^2[/tex] = [tex]201.06[/tex]
Therefore, about 201.06 square inches of pizza sause is needed to cover the pizza.
an advertiser will pay you $12 for every 100 viewers you have watching the show. based on the information above , how much will they give you?
Answer:
$17,600,000
Step-by-step explanation:
First, we need to count the amount of money we pay for each episode. If each episode costs you $200,000 to make, that would be subtracted from your total amount. If there are 150,000 viewers per episode, we can multiply 150,000 by 11, because there are 11 episodes. There are 1,650,000 people watching your show! Since the advertiser pays you $12 per person, we can simply multiply 12 times the number of people. You have earned $19800000. However, we need to subtract how much it took us to make the episodes, so we multiply the number of episodes, 11, by $200,000 and subtract the product from our total amount. Your amount of profit is $17,600,000.
Hope this helps! (Brainliest please!)
Answer:
$99 000
Step-by-step explanation:
(a) No. of episodes
There are 11 episodes per season.
No. = 0.5 × 11
No. = 5.5 episodes
=====
(b) No. of viewers
There are 150 000 viewers per episode
No. = 5.5 × 150 000/1
No. = 825 000 viewers
=====
(c) Payment
The advertiser pays $12 per 100 viewers.
Pay = 825 000 × 12/100
Pay = $99 000
The advertiser will pay you $99 000.
what is the mass of aluminum?
Answer:
The mass of aluminum is 26.982 g/mol.
Step-by-step explanation:
The molar mass of an element is the mass in grams of 1 mole of the element. It is determined by taking the atomic weight of the element on the periodic table, and writing it as g/mol.
The mass of aluminum will depend on the quantity and context. Given quantities in chemical compounds range from 26.98g in AlPO4 to 80.94g in Al2S3 (for 1 mol). For specific quantities or other situations, the mass should be calculated proportionally.
Explanation:The mass of aluminum can be determined using the specific heat and molecular absorption principles. A known quantity of aluminum in a compound like AlPO4 contains 1.000 mol or 26.98 g Al, while an Al2Cl6 molecule contains 1.994 mol or 53.74 g Al. When considering an Al2S3 molecule, it contains 3.00 mol or 80.94 g Al, which is the greatest mass of Al among the examples.
To calculate the mass for a different quantity of aluminum, you need to adjust these figures proportionally. For instance, if you have only half a mol of Al2S3, the mass would not be 80.94g, but half of that. Also, regarding mass of atoms, it is often represented in atomic mass units (amu) or in kilograms.
These examples give a clear idea of how to determine the mass of aluminum in different situations. The specific condition determines which calculation or table to use.
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Can someone please hep me with this problem thank you.
Answer:
the desired equation is y = (1/6)x + 3/2.
Step-by-step explanation:
From the graph you can see immediately that the y-intercept is (0,3/2).
This is "b" in y = mx + b.
Focus on point (-3,1). Substitute -3 for x in y = mx + 3/2 and then 1 for y:
1 = m(-3) + 3/2
Clear this result of fractions by mult. all three terms by 2:
2 = m(-6) + 3. Solving for m, -6m = 2 - 3, or -6m = -1. Then m = 1/6, and the
desired equation is y = (1/6)x + 3/2.
Write the explicit formula for the geometric sequence.
64, 32, 16, 8, ...
A) an = 8 · 4n-1
B) an = 8 · 2n-1
C) an = 32 · 0.5n-1
D) an = 64 · 0.5n-1
Which answer?
Answer:
Option D is correct.
Explicit formula for the geometric sequence is, [tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence states that a sequence of numbers in which the ratio between consecutive terms is constant,
we can write a formula for the nth geometric sequence in the form of:
[tex]a_n = a_1r^{n-1}[/tex] .....[1] where [tex]a_1[/tex] is the first term and r is the common ratio between successive term.
Given the sequence: 64, 32, 16 , 8......
Here, first term ([tex]a_1[/tex]) = 64.
Common ratio(r) = 0.5
Since,
[tex]\frac{32}{64} =0.5[/tex]
[tex]\frac{16}{32} = 0.5[/tex] ,
[tex]\frac{8}{16} = 0.5[/tex] ......
Substitute the value of a and r in [1] we get;
[tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]
therefore, the explicit formula for the geometric sequence is, [tex]a_n = 64 \cdot (0.5)^{n-1}[/tex]
what is 6÷2/3 in simplest form A.4 B.8 C.9 D. 12
Answer:
The correct answer is 9.
Step-by-step explanation:
Answer:
the answer is C hope this helps
Step-by-step explanation:
Solve for x: 4 (1-x)+2x=-3 (x+1)
Answer -7
Step-by-step explanation:
if f(×)=2x^2-5 and g(×)=3×+3 find (f-g)(×)
a.3x-2x^2-2
b.2x^2-3x-2
c.-x^2-7
d.2x^2-3x-8
Answer:
d. 2x^2 -3x -8
Step-by-step explanation:
if f(×)=2x^2-5 and
g(×)=3×+3
(f-g)(×)=
I like to line them up vertically
2x^2-5
-(3x+3)
-------------------
Distribute the minus sign
2x^2-5
-3x-3
-------------------
Line up the powers
2x^2+ 0x -5
-3x-3
-------------------
2x^2 -3x -8
Is the error the zero’s?
Answer:
NO
Step-by-step explanation:
Because that just means they started off with 0
The error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.
The error in the given ratio table is that the values in the "total" row are not calculated correctly based on the provided "miles" and "gallon" values.
The values in the "total" row do not match the sum of the "miles" and "gallon" values for each corresponding column.
When miles = 0 and gallons = 0, the total should also be 0.
When miles = 10 and gallons = 2, the total should be 12.
When miles = 20 and gallons = 4, the total should be 24.
When miles = 30 and gallons = 6, the total should be 36.
When miles = 40 and gallons = 8, the total should be 48 (not 49).
When miles = 50 and gallons = 10, the total should be 60.
The error occurs in the row where miles = 40 and gallons = 8. The "total" value is listed as 49 instead of the correct value, which should be 48. So, the error in the table is that the "total" value for miles = 40 and gallons = 8 is incorrect.
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What is $0.8\%$ of $125\%$ of $8128$? Express your answer as a decimal.
Answer:
The correct answer is $81.28
Step-by-step explanation:
In order to find this, we simply treat the word of as a multiplication symbol.
0.8% of 125% of $8128
Now change the percentages to decimals
0.008 * 1.25 * 8128 = 81.28
Answer:
81.28Step-by-step explanation:
To solve this kind of problem, we must remember that the word "of" means multiplication in math language, and all percentages numbers can be expressed as a fraction where the denominator is 100. Applying all this, we have
[tex]0.8\%\times 125\%\times 8128\\\frac{0.8}{100}\times \frac{125}{100} \times 8128\\ 0.008(1.25)(8128)=81.28[/tex]
Therefore, all those percentages of 8128 results in 81.28
if a= b^2/3 and b= c^3/4; what is the relation between a and c?
a=c^1/2
c=a^1/2
a=c^-1/2
c=a^-1/2
a=c
Answer: a = c^(1/2) which is the first answer choice of the list
Work Shown:
a = b^(2/3) ... given equation
a = (c^(3/4))^(2/3) ... replace b with c^(3/4)
a = c^((3/4)*(2/3)) .... multiply exponents
a = c^(1/2) .... Simplify; note the 3's cancel, also 2/4 turns into 1/2
Simplify negative 2 and 1/9 − negative 4 and 1/3.
A. 2 and 2 /9
B. -6 and 4/9
C. -2 and 2/9
D. 6 and 4/9
Answer:
B. -6 and 4/9
Answer:
A. [tex] 2 \dfrac{2}{9} [/tex]
Step-by-step explanation:
[tex] -2\dfrac{1}{9} - \left(-4 \dfrac{1}{3} \right) = [/tex]
[tex] = -2\dfrac{1}{9} + 4 \dfrac{1}{3} [/tex]
[tex] = -\dfrac{19}{9} + \dfrac{13}{3} [/tex]
[tex] = -\dfrac{19}{9} + \dfrac{39}{9} [/tex]
[tex] = \dfrac{20}{9} [/tex]
[tex] = 2 \dfrac{2}{9} [/tex]
Solve 3.8 = p/3 - 7.2. Solve for p.
Answer:
I believe the answer to your question is p = 33
Step-by-step explanation:
Question: p÷3 - 7.2 = 3.8
Step 1: Add 7.2 to both sides of the equation
p÷3 - 7.2 = 3.8
+7.2 +7.2
p÷3 = 11
Adding 7.2 to both sides cancels out 7.2 on the left and whatever you do unto one side of an equation, you must do to the other (it's just a rule in math)
Step 2: Multiply by 3 on both sides
p÷3 = 11
x 3 x 3
p = 33
Same as last time; multiplying by 3 cancels out 3 on the left and whatever you do unto one side, you must do to the other
Answer:
p=33 is the answer
Step-by-step explanation:
Solve using elimination.
5x-4y=-21
-2x+4y=18
Answer:
(-1,4)
x=-1,y=4
Step-by-step explanation:
To solve by elimination, add the two equations together to eliminate y.
5x-4y=-21
-2x+4y=18
-----------------
3x = -3
Divide by 3
3x/3 = -3/3
x=-1
Now we still need to find y
-2x + 4y = 18
-2(-1) +4y =18
2+4y =18
Subtract 2 from each side
-2+2 + 4y = 18-2
4y = 16
Divide by 4
4y/4 = 16/4
y =4
a school cafeteria has 40 tables 35% of the tables have eight chairs at each table their remaining 65% of the tables have six chairs at each table complete the model then complete the statement to find the total number of chairs in the cafeteria