Step-by-step explanation:
3×+3(x+y) is equal to 6x+3y
(Score for Question 1: ___ of 5 points)
1. In a candy shop, jellybeans which sell for $2.50 a pound are mixed with skittles which sell for $4 a pound to form a jellybean-skittles mix that sells for $3.50 a pound. How much of each are used to make 30 pounds of the mixture?
(a) Write a system of linear equations that models this situation.
(b) Use the substitution or elimination method to solve for how many pounds of jellybeans and how many pounds of skittles are used to make the 30-pound mixture.
Hint:
Equation one will represent that jellybeans and skittles will equal a total amount of pounds.
Equation 2 will represent that cost of each individual component (added together) equal the total cost of a 30-pound mixture.
Answer:
(Score for Question 2: ___ of 5 points)
2. Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.
(a) Write a system of equations for the situation. Use s for the amount Sam earned and k for the amount Kevin earned.
(b) Solve the system of equations.
Answer:
3. (Score for Question 3: ___ of 5 points)
Solve the system of equations by substitution.
6 = −4x + y
−5x − y = 21
Answer:
Solve the system by the elimination method.
2x + y = 20
6x – 5y = 12
Answer:
please help me immediately please!!! whoever answers this gets marked brainliest
Answer:
The separated values of x and y from the given equation is [tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]
Step-by-step explanation:
Given equation is [tex]4 x+3y=13[/tex]
Now to find the separated values of x and y with the given equation.
Now find the value of x and so we have to separate the value x from the given equation
[tex]4x+3y=13[/tex]
[tex]4x=13=3y[/tex]
[tex]x=\frac{13-3y}{4}[/tex]
Therfore [tex]x=\frac{13-3y}{4}[/tex]
Now find the value of y and so we have to separate the value y from the given equation
[tex]4x+13y=13[/tex]
[tex]13y=13-4x[/tex]
[tex]y=\frac{13-4x}{13}[/tex]
[tex]y=\frac{13}{13}-\frac{4x}{13}[/tex]
[tex]y=1-\frac{4}{13}[/tex]
Therefore [tex]y=1\frac{4}{13}x[/tex]
The separated values of x and y from the given equation is
[tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]
Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Write your answer as an expression.
Answer:
expression for cookies Anna have 3c- 8
Step-by-step explanation:
Given:
Number of cookie batches Anna baked = 2
Number of cookies in each batch = c
Number of cookies Anna ate = 8
To Find:
An expression representing the number of cookies left with Anna
Solution:
Let the expression representing the number of cookies left with Anna be y
First let us find the total number of cookies Anna baked
She baked 3 batches of cookies and each batch had c cookies in it
So,
Total number of cookies Anna baked = number batches X Number of cookies in each batch
=>[tex]3 \times c[/tex]
=> 3c
Now Anna ate 8 from 3c cookies, so she will be left with
=>3c-8 cookies
So , y = 3c- 8
All of the x values or inputs are called what?
THE GRINCH FOUND THE STRENGTH OF
2x6x3) ÷4+1 GRINCH'S PLUS TWO
Answer: 2x6x3=36 divided by 4=9+1=10.
The expression (2x6x3) ÷ 4 + 1 Grinch's plus two is solved using the order of operations, giving a result of 10 plus two Grinch's, symbolized as 10 + 2G.
Explanation:The question is a basic arithmetic problem that involves both multiplication and addition within parentheses, followed by division and then more addition.
The order of operations, often abbreviated as PEMDAS - which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) - must be followed to solve the expression correctly.
Let's solve the expression step by step:
First, handle the expression within the parentheses: (2x6x3), which is multiplication. So, 2 times 6 equals 12, and 12 times 3 equals 36.Now, divide the result by 4: 36 ÷ 4 equals 9.Finally, add 1 to the result of the division: 9 + 1 equals 10.Add the last element of the expression, which is two Grinch's. Since we're not given a numerical value for a Grinch, let's symbolize it as 'G'. Therefore, if one Grinch is 'G', two Grinch's would be '2G'.The final answer is 10 plus two Grinch's, which we write as 10 + 2G.
An employee earns $175 for 15 hours work.
Assuming he is paid by the hour, how much will this employee earn in 18 hours?
Answer:
$210
Explanation:
175/15 = 11.67
11.67x18 = 210
The amount of money that employees earn in 18 hours with the same rate of change will be $210.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
An employee earns $175 for 15 hours of work.
Per hour earning = $175/15
Earning in 18 hours will be, 175/15 x 18 = $210
Hence "The amount of money that employees earn in 18 hours with the same rate of change will be $210".
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Rebecca has a monthly plan that charges her $45.50 each month for unlimited talk and text. For each gigabyte of data that she uses, she has to pay an additional $5.25. If the cost of her bill is represented by variable C and the number of gigabytes is represented by the variable g, write an equation that represents this situation.
Answer:
C = $5.25g + $45.50
Step-by-step explanation:
The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.
Answer:
C = $5.25g + $45.50
Step-by-step explanation:
using distributive property-2(n+9)
Answer: -2n + -18
Explanation: Let's simplify this problem using the distributive property.
The first thing we want to do is to distribute or multiply the -2 by each of the terms inside the set of parentheses.
So we get -2 (n) + -2 (9) and this simplifies to -2n + -18.
When Steve woke up. His temperature was 102º F. Two hours later it was 3º lower. What was his temperature then?
Answer:
Steve's temperature now is 99 degrees.
Step-by-step explanation:
102 degrees- 3 degrees=
99 degrees.
Steve's temperature was 102º F when he woke up. Two hours later, his temperature had dropped by 3º F, thus making his temperature 99º F.
Explanation:The subject of this question is a real-life mathematics reasoning task about temperature change. Based on the given information, Steve's initial temperature when he woke up was 102º F.
According to the problem, Steve's temperature decreased by 3º after two hours.
To find Steve's temperature after the decrease, you simply have to subtract this decrease from the original temperature. So you calculate 102º F - 3º F, which equals 99º F. Therefore, Steve's temperature two hours later was 99º F.
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If 3 boxes can hold 27 books, how many boxes can hold 108 books?
1 box holds 9 so u divide 108 by 9 to get 12.
U can also multiply 3 and 27 until u get 108. First divide 108 by 27 and get 4. so u then multiply 4 times 3 to get 12.
Answer:
Step-by-step explanation:
No of books that 3 boxes can hold = 27 books
No of boxes required =(3/27) * 108 = 3*108 / 27 = 3 *4 = 12
12 boxes are required
If half the positive difference between 4.81 and 2.25 is multiplied by 0.32, what is the result?
The distance between 4.81 and 2.25 is 2.56.
Divide 2.56 by 2.
2.56 / 2 = 1.28.
Then multiply 0.38 by 1.28.
128 x 32 = 4096, then move the decimal 4 times to the left.
4096.
The decimal is behind the 6, you need to move the decimal in front of the 4.
Therefore, your result is 0.4096.
2/9x+5=2/3
I have to rewrite the equation so it doesn’t have a fraction
Answer:
2x + 45 = 6
Step-by-step explanation:
(2/9)x + 5 = 2/3 Subtract 5 from both sides
(2/9)x +5-5=2/3-5
(2/9)x = - 4 1/3 Multiply by 9
2x = -13/3 * 9
2x = -39
x = -19.5
==============
I see. You don't want it solved. Multiply by 9 to clear the fractions.
==============
2x + 45 = 6
==============
Solve it now. It should be easier.
2x = 6 - 45
2x = - 39
x = -19.5
Help solving this math
Answer:
Rank 1 - plane.
Rank 2- line.
Rank 3- point.
Step-by-step explanation:
Here, I have given the ranks based on what includes what.
Rank 1 is given to plane because infinite lines together makes a planes
and infinite points together makes a line.
so, Rank 1 includes both Rank 2 and Rank 3.
Now, Rank 2 is line because it consists of infinite number of points together
and is used to form a plane.
Rank 3 is point as it is the basic thing for any line or plane
See, it is simple, group of points make a line and group of lines make a plane.
visualize it this way,
When you zoom too in a plane, you see a line and when you zoom too in a line, you see a point.
A function has an input of -6. What is the output if the function rule is y = 2x - 1?
A function has an input of -6. The output of function is -13
Solution:
Given that function has a input of -6
To find: output of function
Given function rule is y = 2x - 1
The input of the function is "x" and output of function is "y"
By substituting the given input value of "x" in the function rule, we will get the output of function
y = 2x - 1
Plug in x = -6 in above function rule
y = 2(-6) - 1
y = -12 - 1
y = -13
Therefore the output of function is -13
Complete each of the ratios on the table show calculations
Answer:
From left to right:
2, 4, 32
Step-by-step explanation:
Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.
yellow to blue = 8 to 16
8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2
8 to 16 = 1 to 2
This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.
In the first two columns, yellow paint is blue paint divided by 2.
4/2 = 2
8/2 = 4
In the last column, blue paint is yellow paint times 2.
16 X 2= 32
All of the ratios yellow to blue are:
2 to 4
4 to 8
8 to 16
16 to 32
Harry is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $15 for the meal, plus $4 per pound for the lobster he picks. At the second restaurant, Harry would pay $3 per pound for the lobster, in addition to $38 for the meal. Harry realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Harry pay for his dinner? What is the weight?
Answer:i’m not sure but i think it’s around 10-11 for per pound for the lobsters.
Step-by-step explanation:
15$ + 4per lobster = 19$ and 38$+$3=41 so it should be around that amount of 22
he would pay $107
and it would weigh 23 pounds
Step-by-step explanation:
15+4p=x
38+3p=x
15+4p=38+3p
subtract 3p from both sides
15+p=38
subtract 15 from both sides
p=23
15+4(23)=107
38+3(23)=107
Daniel is selecting a sock from his drawer.
He chooses a sock at random, does not
replace it, and then selects a second sock at
random. What is the probability that Daniel
selected a solid sock both times?
Answer:15/28
Step-by-step explanation: Ive had this question before That is the answer :)
Final answer:
To find the probability of selecting a solid sock both times from Daniel's drawer, multiply the probabilities at each step independently to get 1/105 or approximately 1% in total.
Explanation:
To calculate the probability of selecting a solid sock both times, you need to consider the independent probabilities at each step.
Probability of selecting a solid sock the first time is 1/7.
Probability of selecting a match for the second sock from the remaining socks would be 1/5.
Continuing this pattern, the total probability of selecting a solid sock both times is 1/105 or about 1%.
If 16 is added to 1/3 of a number the result is 3 times the number what is the number?
Answer: The number is 6
Step-by-step explanation:
Let the number be x,
1/3 of the number is the same as 1/3 of x , so from the first statement , we have
16 + [tex]\frac{1}{3}[/tex]x = 3x
Multiplying the equation through by 3 , we have
48 + x = 9x
48 = 9x - x
48 = 8x
divide through by 8
therefore :
x = 6
Therefore : the number is 6
What is the standard form of this complex number?
1 / (3 - sqrt-4)
A. 3/13 + 2/13i
B. 3/5 + sqrt-2/5
C. 3 - 2i
D. 3 + 2i
Answer: A
Step-by-step explanation:
The standard form of this complex number is A. 3/13 + 2/13i
=3+2i/9-4(-1)
=3+2i/9+4
=3+2i/13
What is an example of a complex number?
Complex numbers in mathematics. Complex numbers are numbers expressed in the form of a + ib. Here, a and b are real numbers, and "i" is an imaginary number called "iota". The value of i = (√-1). For example, 2 + 3i is a complex number, 2 is a real number (Re), and 3i is an imaginary number.
Complex numbers are numbers that consist of two parts: real and imaginary. Complex numbers are more complex mathematical components such as algebra. They can be applied to many aspects of real life, especially electronics and electromagnetism.
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Part A : How long will it take you to pay a $600000 loan at 3.7% yearly interest if you continue to make monthly payments of $2500 per month?
Part B : How much money will you have paid in total after you are done paying the above loan with its respective interest rate? AND, based on your answers, how much money did the bank make in profit?
DO ALGEBRAICALLY!!! PLEASE AND THANK YOU!!!
Answer:
Part A: 2.159 years.Part B: $647929.8. $47929.8Step-by-step explanation:
Part A:
Let, it will take x years to pay.
According to the question,
[tex]2500\times12x = $600000 + $600000 \times \frac{3.7x}{100} \\12x = 240(1 + \frac{3.7x}{100})\\x = 2(1 + \frac{3.7x}{100})\\0.926x = 2\\x = 2.159[/tex]
Part B:
Total money that needs to be paid is [tex]600000(1 + \frac{3.7\times 2.159}{100} )[/tex] = $647929.8.
The bank made $47929.8 in profit.
seven friends have a similar cell phone plan
two years ago, the howards bought a van for $27,500. today the value of the van has decreased 35%. what is the value of the van now?
Answer: $17,875
Step-by-step explanation:
take 27,500 and multiply it by 35% or .35
27500 x .35= 9625
take 9625 and subtract it from the initial value
27500 - 9625= 17875
Answer:
35 × $27500 = $9625
100 1
= $27500-$9625
=$17875
Trina's car uses 10 gallons of gas to travel 120 miles. If she has 5 gallons of gas in the tank, how much more gas will she need to drive 204 miles?
Answer: 12 gallons
Step-by-step explanation:
Use proportion to estimate how much gas she needs for 204 miles.
10:120=x:204
204*10=120x
x=2040/120
x=17 gallons
For 204 mile trip Trina needs 17 gallons of gas. She has 5 gallons.
17-5=12
She will need 12 gallons of gas.
A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?
Answer:
The value of x will be an interger above or equal to 0. The value of y will be a interger equal or above 0.
Step-by-step explanation:
You can never buy a negative amount of books (x). You can only spend a positive amount of money. So even if she did not buy a book it would be 0, never under it.
Answer: it's the 2nd one
Step-by-step explanation: The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0
Paul brought and sold a computer .he wrote his business activity as followers cost price of computer =$1064 marked price of computer =$1399 discount on marked price =5%
Answer:
Profit = $265.04.
Selling price = $1329.05
Step-by-step explanation:
Paul brought a Computer at a cost price of $1064.
Now ,
The marked price of the computer is given as $1399.
Also,
He is giving a total discount of 5% on the marked price of the computer i.e., $1399.
So, The selling price of computer will become 95 percent of $ 1399 which equals $1329.05.
Thus Paul sold the computer at a profit of $1329.05 - $1064
= $265.04.
Answer:
A) selling price of computer is $1329.05
B) Profit is $265.05
C) Profit percentage = 24.9%
Step-by-step explanation:
Given as :
The cost price of computer = c.p = $1064
The marked price of computer = m.p = $1399
The marked percentage discount = d = 5%
Let The selling price of computer = s.p
Now, According to question
discount% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]
Or, d% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]
Or, 5% = [tex]\dfrac{1399 - s.p}{1399}[/tex]
Or, [tex]\dfrac{5}{100}[/tex] = 1 - [tex]\dfrac{s.p}{1399}[/tex]
Or, [tex]\dfrac{s.p}{1399}[/tex] = 1 - [tex]\dfrac{5}{100}[/tex]
Or, [tex]\dfrac{s.p}{1399}[/tex] = [tex]\dfrac{95}{100}[/tex]
∴ s.p = [tex]\dfrac{95}{100}[/tex] × 1399
Or, s.p = $1329.05
So,The selling price of computer = s.p = $1329.05
Now, Profit = selling price - cost price
or, p = s.p - c.p
Or, p = $1329.05 - $1064
∴ Profit = $265.05
Now, Profit % = [tex]\dfrac{\textrm profit}{c.p}[/tex]
Or, p% = [tex]\dfrac{\textrm 265.05}{1064}[/tex]
∴ p% = 0.249
i.e p = 0.249 × 100
So, profit percentage = 24.9%
Hence, A) selling price of computer is $1329.05
B) Profit is $265.05
C) Profit percentage = 24.9% Answer
ASAP Need this answer, would appreciate it.
Answer:
Let's begin by explaining the following:
The magnitude of any number (a charge in this particular case) is the distance this number has from 0 on the number line.
Now, since according physics a distance can never be negative, the magnitude of a number will always be positive. This means the magnitude of these given charges will always be positive, no matter if they are negative, positive or neutral.
Having this clarified, let's answer:
Element A has a charge of +5 and its magnitude is +5
Element B has a charge of -3 and its magnitude is +3
Element C has a charge of 10 and its magnitude is +10
Subtract these polynomials.
(2x2 + 4x + 3) - (4x2 - 2x-3) =
O A. - 2x2 + 2x+0
O B. 6x2 + 6x + 6
O C. 6x2+2x+ 0
O D.-2x2+68+6
Answer:
B. -2x2 + 6x + 6.
Step-by-step explanation:
(2x2 + 4x + 3) - (4x2 - 2x-3) Distribute negative over the parentheses:
= 2x2 + 4x + 3 - 4x2 + 2x + 3
= 2x2 - 4x2 + 4x + 2x + 3 + 3
= -2x2 + 6x + 6.
The correct answer to the polynomial subtraction question is D. -2x^2 + 6x + 6, obtained by changing the sign of each term in the second polynomial and then combining like terms.
Explanation:To subtract the given polynomials, we remove the parentheses and change the sign of each term in the second polynomial before combining like terms:
(2x2 + 4x + 3) - (4x2 - 2x - 3)
= 2x2 + 4x + 3 - 4x2 + 2x + 3
Now, combine like terms:
(2x2 - 4x2) + (4x + 2x) + (3 + 3)
= -2x2 + 6x + 6
The correct answer is D. -2x2 + 6x + 6.
For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank. Word Bank sum difference product quotient equal variable solution inverse add subtract multiply divide more than less than greater than inequality greater than or equal to less than or equal to equation negative
x/2 + 3 = -5
Answer:
The solution for the equation is x equal to -16
Step-by-step explanation:
Let's find the solution for x in the equation given:
x/2 + 3 = -5
Multiplying by 2 at both sides of the equation, we have:
x + 6 = -10
Subtracting 6 at both sides of the equation, we have:
x + 6 - 6 = - 10 - 6
x = - 16
The solution for the equation is x equal to -16
Terms used: multiply, subtract, solution, equal to, equation
To solve the equation x/2 + 3 = -5 for x, subtract 3 from both sides to get x/2 = -8. Then multiply both sides by 2 to isolate x, giving the solution x = -16.
Explanation:To find the solution for the variable x in the given equation x/2 + 3 = -5, we need to use the inverse operations of addition and division. Firstly, we need to eliminate the +3 from the left-hand side of the equation. We apply the inverse operation to addition which is subtraction. Therefore, we subtract 3 from both sides of the equation. This calculates to: x/2 = -5 -3. This can be simplified to x/2 = -8.
Secondly, to solve for the variable x we then need to remove the division by 2 and to do this, we multiply each side of the equation by 2 (the inverse operation of division) because x divided by 2 multiplied by 2 is equal to x. Hence the new equation becomes: 2*(x/2) = 2*-8 and simplifying gives us x = -16.
This process shows that the solution to the equation x/2 + 3 = -5 is x = -16.
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if point A(-6,-2) of a trapezoid is moved through the translation (x+1, y-3) what will coordinates of A1 be?
Answer:
A1(-5,-5)
Step-by-step explanation:
given : A(-6,-2)
simply apply the translation to the coordinates above
A1 ( -6 + 1, -2-3) = A1(-5,-5)
how does this polynomial identity work on numerical relationships?
(y + x) (ax + b)
Answer:
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
Step 1:
(a + x) (ax + b)
Step 2: Proof
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
Step 3: Proof
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found .
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126
5. Statistical Literacy What terminology do we use for the probability of
rejecting the null hypothesis when it is true? What symbol do we use for
this probability? Is this the probability of a type I or a type II error?
Answer:
The correct option is type I error.
Step-by-step explanation:
Consider the provided information.
Type I error is the error occur when we reject the true null hypothesis,
Type II error is the error occur when we fail to reject false null hypothesis.
Now consider the provided information.
The symbol do we use for this probability is type I error.
Hence, the correct option is type I error.