The resulting equation after substitution is
5x + 4(-2x + 6) = 3
quite literally you replaced y with what it equals (as said in the second equation)
you then distribute the 4 within the parenthesis
5x + -8x + 24 = 3
You make it easier
5x - 8x +24 = 3
you combine like terms
-3x + 24 = 3
you subtract 24 from both sides
-3x = -21
you divide both sides by -3
meaning x = 7
you then use that value x = 7 and substitude it for the x in the other equation.
That makes the y equation
y = -2(7) + 6
you then solve
y = -14+6
y = 6 - 14
y = -8
Decide whether each table could represent a proportional relationship. In the essay box explain if the relationship could be proportional, what would be the constant of proportionality?
Annie’s Attic is giving away $5 off coupons.
Answer:
This table does represent a proportional relationship because the sale price and original price are going up at the constant rate of 10
Step-by-step explanation:
The equation of line is y = -x + 25 and the constant of proportionality is 5
What exactly is a line equation?A line's equation is written as y = mx + b, where m is the slope and b is the y-intercept.
Furthermore, y - y1 = m (x - x1).
y = second point's y-coordinate
y1 = point one's y-coordinate m = slope x = point two's x-coordinate
x1 = point one's x-coordinate
The slope is m = (y2 - y1) / (x2 - x1).
Given the data,
Let the line equation be written as A.
The value of A is now
Let P be the initial point ( 15 , 10 )
Let's call the second point Q. ( 25 , 20 )
The slope of the line is now m = (y2 - y1) / (x2 - x1).
m slope = [tex]\frac{(20-10)}{(25-15)}[/tex]
m slope = [tex]\frac{-10}{10}[/tex]
m slope = -1
The equation for the line is now y - y1 = m (x - x1).
y - 10 = -1 ( x - 15 )
Simplifying the equation yields y - 10 = -x + 15.
We get y = -x + 25 by adding 10 to both sides of the equation.
So, if the selling price x is $10, the original price y is $ 15.
Hence , the equation of line is y = -x + 25 and the constant of proportionality is 5
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
If x-y=6 and x^2+y^2=24, find x^3-y^3.
Answer:
162.06
Step-by-step explanation:
sorry i'm not the best an explaining but i'm confident in my answer.
the first thing to do is get rid of the ² in x²+y²=24, we do this by √24 which ≅4.90 (i rounded to the hundreth place)
then we have this
x-y=6
x+y=4.90
I am using the elmination method. To do that you need to get two letters to have the same coefficient (in 4x 4 is the coefficient) with oposite signs (one possitive one negitive)
In our equation here we see that the same coefficient is 0, and there is oposite signs for y. Therefore we can add the two equations and get
2x=10.9 (the y cancels out)
now we have a simple equation and all that is left is to solve it
10.9/2=5.45
x=5.45
Now we need to find y we do that by pluging the x value into one of the equations I choose the first one becasue its easiest.
(5.45)-y=6
y= - .55
now that we have both x and y plug them into the final equation (5.45)³-(-.55)³= 161.89-(-.17) =162.06
Therefore x³-y³≅162.06!
(if you have any questions or would like to debate the answer please let me know!)
Mandy makes beaded bracelets and sells them for $5 each. If she sells the bracelets for 250% of the cost of her materials, how much does each bracelet cost to make?
Answer:
$2.00
Step-by-step explanation:
Just change 250% to a decimal. It becomes 2.5. Then divide 5 by 2.5.
5 / 2.5 = 2!
Hope this helps!
A rate with a denominator of 1 unit is a ____________________ ____________________.
Answer:
Unit rate
Step-by-step explanation:
A rate that has a denominator of 1 unit is referred to as a unit rate.
Answer:
The answer is Unit Rate
:D Have a Great Day :D
Solve the following equation: 2(3x - 5) + 7 = 4 - 9(x - 1).
A.11/15
B.16/15
C.8/3
D.11/3
Answer: your answer is 16/15
Step-by-step explanation:
Answer:
16/15
Step-by-step explanation:
Joy’s grandmother cans homemade applesauce around the holidays to raise money for the local foodbank. She earns a profit of $2.79 for each jar she sells.
can someone help me with this
Answer: 270 and on the Second page is 50
Step-by-step explanation:I think that’s correct
Answer:
270
Step-by-step explanation:
that is 90% of 300
First-person to answer all answer correctly with Explanation get Brainliest
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b=1,500p where p represents the number of packets and b represents the number of bytes of information.
1. How many packets would be needed to transmit 30,000 bytes of information?
2. How much information could be transmitted in 30,000 packets?
3. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits.
Answer:
45,000,000 information could be transmitted in 30,000 packets
Explaination:
b=1500p
p= 30,000
so,
b= 1500 x 30000 = 45,000,000
Answer:
1- 20 packets for this one you have to divide 30,000 by 1,500
2- 45,000,000 bytes for this one you have to multiply 1,500 by 30,000
3- so if each byte is 8 bits of information and 1,500 bytes equal one packet than each packet equals 187.5 bits of information and if you have 30,000 packets than there will be 3,750 bits of information the equation is the number of bytes in a packet divided by the number of bits of information in a byte which is 1,500/8 = 187.5 and the amount of packets you have you divide it by 8 because it is the number of packets divided by the number of bits of information
(did this help?)
help pls, it's due in 20 minutes
Answer:
Step-by-step explanation:
3 (5+1) divided by 3 to the second power = 2
8 divided by 4 times 2 = 4
7 + 2.4 = 9.4
i hope this helps god bless
Answer:
3 (5+1) /3 2 = 2
8 / 4 x 2 = 4
7 + 2 x 4 = 15
2, 4, 15
After how many minutes of long distance calling do the phone companies charge an equal amount?
Plz Answer This Mathematics Question??? NEED HELP ASAP
Answer:
216 x 10 13 (13 is the number that goes above of the 10)
Step-by-step explanation:
Multiply 8.1 x 10. 81
Multiply 4.5 x 10. 45
Add 81 + 45. 216
Add the scientific notions (8 + 5) . 13
216 x 10 13
Hope I helped!
which expression is equivalent to 3.2y - 1/3 +(-7y) + 2/3
ASAP PLZ
Answer:
y= 1 1/2
Step-by-step explanation:
Answer:
is it multible choice?
Step-by-step explanation:
Decorations for a seventh-grade dance take 1/6 of the student council's budget. entertainment takes 3/8 of the budget. what fraction of the budget do these expenses cover? What fraction is left for other activities?
Answer:
11/24 is left over
Step-by-step explanation:
1/6 + 3/8 = 13/24
24/24 - 13/24 = 11/24
11/24 of the budget is left over
Hope this helps
I have 2 questions. Please help! I will mark the Brainliest for the best answer(s)
1. Jane, Fay, and Henry had a total of $90. After Jane gave $12 to Henry and Fay gave $2 to Jane, all three of them had the same amount of money. How much money did each of them have in the beginning?
Jane has $__
Fay has $__
Henry has $__
2. The sum of three consecutive numbers is 723. Find the numbers.
The answer that is worth the Brainliest has all the answers to my questions, and is correct.
Answer:
1. J=20, f= 28, H=42
2. 240 + 241 + 242 = 723
Step-by-step explanation:
J= 30- 12= 18+2= 20
F= 30-2=28
H=30+12=42
2.
240 + 241 + 242 = 723
Daniella has a baking pan shaped like a rectangular prism. It measures 16in. wide and 3.75 in. high. If the volume of Daniella’s pan is 1,050 in. , what is its length?
Answer:
17.5, or 35/2
Step-by-step explanation:
First of all, the formula for volume is V=lwh. Replace V with 1050, w with 16m, and h with 3.75, since these values are already given.
The equation should look like this:
1050 = l*16*3.75
By solving for l, you'll get 17.5, or 35/2
Compare these three ratios using fractions.
3 to 2
5:6
8 to 12
Think about the steps you could take to compare the ratios using fractions.
The first step is to write the ratios as fractions.
The next step is to use a
To rewrite the fractions.
Finally compare the - Denominators , numerators , shaded parts , unshaded parts - to help you order the ratios.
Answer:
4/5 > 16/20Step-by-step explanation:
If you are comparing 4/5 and 16/20. Then 4/5 is the largest fraction because 4/5 is an equivalent fraction. The bigger the denominator the smaller the fraction.HELP ME OUT WITH THIS MATH QUESTION
Answer:
I believe it would be the second one i'm not exactly sure.
Step-by-step explanation:
Find the slope, m of the line that passes through the points (3/8, −1/4) and (−5/16, 1/6)
Answer:
[tex]-\frac{20}{33}[/tex]
Step-by-step explanation:
We have to use the slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
1/6 is y2, -1/4 is y1, -5/16 is x2, and 3/8 is x1.
[tex]\frac{1/6-(-1/4)}{-5/16-3/8}[/tex]
[tex]\frac{1/6+1/4}{-11/16}[/tex]
[tex]\frac{5/12}{-11/16}[/tex]
Now lets put these fractions in a different form and divide them.
[tex]\frac{5}{12}[/tex] ÷ [tex]-\frac{11}{16}[/tex]
[tex]\frac{5}{12}[/tex] × [tex]-\frac{16}{11}[/tex]
[tex]\frac{5}{3}[/tex] × [tex]-\frac{4}{11}[/tex] = [tex]-\frac{20}{33}[/tex]
[tex]-\frac{20}{33}[/tex] is your answer. I hope this helps! Let me know if I made a mistake or if you have any questions :)
Help quick please!!!
Answer:
2
Step-by-step explanation:
the second choice
Answer:
The second choice I think
Step-by-step explanation:
Mark donated 15% of the money he earned last summer to the hurricane relief fund. If he donated at total of $475.00 how much did he earn last summer? (if needed, round your answer to the nearest cent)
What is the product of 7x0.39
Answer:
2.73
Step-by-step explanation:
Product means the answer to the multiplication problem, where 7 and 0.39 are the factors, and you need to find the answer, which is the product. So, just multiply 7 and 0.39, and you’ll get 2.73. The product of 7x0.39 is 2.73
Hope this helps! :)
For each equation, what could you do first to each side of the equation so that there would be no fractions?
Select all the correct responses next to each equation.
\frac{3x-4}{8}=\frac{x+2}{3}3 x − 4 8 = x + 2 3
o Multiply each side by 8
o Multiply each side by 30
o Multiply each side by 48
o Multiply each side by 24
o Multiply each side by 60
o Multiply each side by 12
Grayson bought s sponges. There were 6 sponges in each package. Write an expression that shows how many packages Grayson bought.
The number of packages bought by Grayson is represented by the expression 6x=y.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Grayson bought s sponges. There were 6 sponges in each package.
The expression for the number of the packages Grayson bought will be written as,
y = 6x
Here, y is the number of packages and x is the number of sponges.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
A train is traveling at a constant speed and goes 7½ kilometers in 6 minutes. How far does the train go in 1 minute?
Answer:
Step-by-step explanation:
The answer is 1.25 kilometers a minute.
Rewrite the following expressions using the additive inverse. Then simplify. 5 - (-2) -6 - 3
You would do
5-(-2)-6-3
5x-2=-10
-10-6-3
and you would get -2
Hello again, im sorry for all the questions im just working on ALL my missing work
1) I can buy 5 pencils for $1.29. How much does each pencil cost?
2) I can buy 12 notebooks for $19.73. How much does each notebook cost?
As you can see im in Quarter 2 and things arent looking so good...
Answer:
Step-by-step explanation:
each pencil costs $1.29 so just add that 5 times. when we do that it equals $6.45
if you can buy 12 notebooks for $19.73,
and then BIG FAT BUT IN SCREEN BIG BUTT
I will give u a brainly please help Write an equation to represent the scenario.
one more, i promise lm`ao
Read the following statement: Line segment CD is congruent to line segment XY.
Which of the following is an equivalent statement?
A) CD overbar is similar to XY overbar
B) CD overbar is congruent to XY overbar
C) CD overbar equals XY overbar
D) CD overbar is an element of XY overbar
Find the missing number of each unit rate.
Need some help here
Answer:
bottom right
Step-by-step explanation:
it goes down consitantly by 2