x=negative 1
y=1
showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.
12x+15=312x+15=3
2 Solve for xx in 12x+15=312x+15=3.
x=-1x=−1
3 Substitute x=-1x=−1 into y=2x+3y=2x+3.
y=1y=1
Answer:
x= -1
y= 1
Step-by-step explanation:
since y=2x+3; plug into other equation
2x+5(2x+3)=3
(distribute 5 to 2x+3)
2x+10x+15=3
(add like terms)
12x= -12
divide by 12 to get x alone
x=-1
now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.
y=2(-1)+3
y=-2+3
y=1
Tisha paid $10.50 for 6 liters of her favorite soda. To the nearest cent, how much did 3 liters of her
favorite soda cost?
Answer:
$5.25
Step-by-step explanation:
Step 1:
10.50 / 6 = x / 3 Equation
Step 2:
6x = 31.5 Multiply
Step 3:
x = 31.5 ÷ 6 Divide
Answer:
x = 5.25
Hope This Helps :)
- 1 1/4 divided by 36
I can’t answer this question
9514 1404 393
Answer:
3
Step-by-step explanation:
The radicals get in the way a bit, so we can define ...
x = √p
y = √q
Then the equation is ...
(x +y)/(1-x) = (4x+y)/(1-x^2)
Multiplying by (1-x^2), we have ...
(x +y)(1 +x) = 4x +y . . . . . . using 1-x^2 = (1-x)(1+x) the 1-x factor cancels
x^2 +xy +x +y = 4x +y . . . eliminate parentheses
x(x +y) = 3x . . . . . . . subtract (x+y)
x +y = 3 . . . . . . . . . . divide by x
This is the sum we're looking for:
√p +√q = 3
Answer: The answer is 3
Step-by-step explanation:
Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answer:
The least number of plates and cups she can buy is 24
She will buy 3 packs of plates
She will buy 2 packs of cup
Step-by-step explanation:
Plates = 8 per pack
Cups = 12 per pack
Find the Lowest common multiple of 8 and 12
8 = 16, 24, 32, 40, 48, 56, 64, 72, 80
12 = 24, 36, 48, 60, 72
What is the least number of plates and cups she can buy?
The Lowest common multiple of 8 and 12 is 24
The least number of plates and cups she can buy is 24
How many packs of plates?
Packs of plates = 24 plates / 8 per pack
= 3 packs
She will buy 3 packs of plates
How many packs of cups?
Packs of cups = 24 / 12 per pack
= 2 packs
She will buy 2 packs of cup
Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)
Answer:
1,5 is your answer
Y=5 and X=1
Insert it in the equation
5=3(1)+2
5=3+2
5=5
Hence proved!
Which term is coefficient of 1?
Answer:
the first one.
Answer:
k^7
Step-by-step explanation:
As there is nothing in front of it that means the coefficient is 1
:)
easy?
graph y = -3/2x - 3 .
Answer:
hope this helps
Step-by-step explanation:
Answer:
you have to graph it urself, but what you have to do is but the starting point at -3, and go down 3 on the y-axis, and up 2 on the x-axis. you can also go up 3 on the x-axis, and 2 down on the y-axis. i hope this explained it and helped you :)
Step-by-step explanation:
1. David uses 1 tbsp of sugar for every 1.25 cups of water when he makes lemonade complete the table below by filling in the missing values
Answer:
Step-by-step explanation:
David uses 1 table spoon of sugar for every 1.25 cups of water to prepare lemonade.
Therefore, Number of table spoons of sugar required (S) ∝ Cups of water required (w)
⇒ S ∝ w
⇒ S = kw
⇒ k = [tex]\frac{S}{w}[/tex]
⇒ k = [tex]\frac{1}{1.25}[/tex] = 0.8
So the formula to calculate the amount of water will be,
S = 0.8w
⇒ w = [tex]\frac{S}{0.8}[/tex]
where k = proportionality constant
Now we can complete the table with the help of the formula.
Sugar (tbsp) Water (cups)
1 1.25
7 8.75
3 3.75
5 6.25
I already know that the answer is 190 but why
Answer:
You know that the total number of persons is 20 , so every person shakes hands with 19 persons.. It then mean that, there are 20×19=380 handshakes. But by every handshake two persons are involved. Therefore, 380 is the result of double-counting, which gives 190 handshakes.Step-by-step explanation:
Hope this helpsASAP want your guys opinion about this
What do you think of when you hear the word "Math"?
Answer:
I think of hard work :)
Step-by-step explanation:
Answer:
The perfect answer would be
M-ental
A-buse
T-o
H-uman
Step-by-step explanation:
hehe, pls mark me brainliest if you can:)
What is the solution to 3x-10x+5=5x+17
Answer:
x = -1
Step-by-step explanation:
3x - 10x + 5 = 5x + 17 (collect like terms)
-7x + 5 = 5x + 17 (subtract 5x on both sides)
-12x + 5 = 17 ( subtract 5 on each side)
-12x = 12 ( divide by -12 on each side)
x = -1
Answer:
x = - 1
Step-by-step explanation:
[tex]3x - 10x + 5 = 5x + 17[/tex]
Add the like terms.
[tex] - 7x + 5 = 5x + 17[/tex]
Add 7x to both sides.
[tex]5 = 12x + 17[/tex]
Subtract 17 from both sides.
[tex] - 12 = 12x[/tex]
[tex] - \frac{12}{12} = x[/tex]
[tex] - 1 = x[/tex]
What is the remainder when 69,694 is divided by 93?
Answer:
37
hope this helps :3
37 is the remainder when 69,694 is divided by 93
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find the remainder when 69,694 is divided by 93
The number which is getting divided here is called the dividend.
69694 is dividend
The number which divides a given number is the divisor.
93 is the divisor.
the number which we get as a result is known as the quotient.
The divisor which does not divide a number completely produces a number, which is referred to as remainder.
69694 can be written as (69657+37)
69657 is divisible completely by 93 and the remainder is 37.
Hence, 37 is the remainder when 69,694 is divided by 93
To learn more on Division click:
https://brainly.com/question/21416852
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A truck used 6.3 gallons of gasoline to travel 105 miles. How many gallons of gasoline would it need to travel 250 miles? A 15 gallons B 4,166.7 gallons С 150 gallons D 16.7 gallons
Answer:
a
Step-by-step explanation:
got it right in my test
Vinnie is 1/2 as old as Julie Julie is 24 how old is vinnie
Answer:
Vinnie is 12.
Step-by-step explanation:
24 divided by 2 is 12
A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers, but the division is not wholly complete.
For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.
Given that,
Age of Julie = 24 years
Age of Vinnie = 1/2 of 24
The 1/2 fraction of 24 will be
⇒ 24/2 = 12 years.
Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".
For more about fractions,
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Solve the proportion v/84 =2/21
Answer:
there is no solution for this equation, Hope this helps! x <3
Step-by-step explanation:
v/84=2/21
We move all terms to the left:
v/84-(2/21)=0
We add all the numbers together, and all the variables
v/84-(+2/21)=0
We get rid of parentheses
v/84-2/21=0
We calculate fractions
There is no solution for this equation
Find the quotient 122 and -2.
A. 124
B. 61
C. 61
D. 120
Answer:
C
Step-by-step explanation:
The true answer is -61
Tip: If you want the correct answer you can not have a typo. Just a heads up.
Drag the cards to create a number that matches these rules.
The number ends in the tenths place.
8 is the nearest one when rounding
How many real solutions are in the equation 8-4x=0
c^4 divided by c^3
Please help
Answer:
Answer is C
Step-by-step explanation:
i.e (c x c x c x c) / (c x c x c) = c^1 = c
→[tex] {c}^{4} \div {c}^{3} [/tex]
Step 2:→[tex] \dfrac{ {c}^{4} }{ {c}^{3} } [/tex]
Step 3:→[tex] {c}^{4 - 3} [/tex]
Step 4:→[tex] {c}^{1} [/tex](c¹ and c is same thing)
________________________________
with regards!
★Dull Star★
2/15 of an airline's flights are international. The airline's flights are equally divided among 8 countries. What fraction of the airline's flights are to each country? If the airline has 2700 flights in all, how many are international? How many are not international? How many are to each of the 6 countries?
Answer:
The fraction of the airline's flights for each country is 1 /60
The number of international airline flights is 360 flights
The number of flights for each of the 8 countries is 45 flights
Step-by-step explanation:
Given;
international airline's flights = 2/15
number of countries = 8
total number of the airline flight
The fraction of the airline's flights for each country;
[tex]= \frac{2}{15}*\frac{1}{8} \\\\ = \frac{1}{60}[/tex]
The number of international airline flights;
[tex]= \frac{2}{15} *2700\\\\= 360 \ flights \ are \ international[/tex]
The number of flights for each of the 8 countries;
[tex]= \frac{1}{8} *360\\\\= 45 \ flights \ \\\\OR\\\\= \frac{1}{60}*2700\\\\ = 45 \ flights[/tex]
A clothing business finds there is a linear relationship between the number of shirts n it can sell and the price P it can charge per shirt. In particular historical data shows that 2 thousand shirts can be sold at a price of 80 dollars each, and that 5 thousand shirts can be sold at a price of 65 each
Answer:
We have two data points:
2000 shirts can be sold for $80 each.
5,000 shirts can be sold for $65 each.
Then we can define the relation:
P(n).
Where P is the price, and n is the number of shirts.
Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case, the slope is:
a = ($65 - $80)/(5000 - 2000) = -$0.005.
Then our equation is:
P(n) = -$0.005*n + b
Now let's find the value of b, we know that:
P(2000) = $80 = -$0.005*2000 + b
$80 = -$10 + b
$80 + $10 = b = $90
Our equation is:
P(n) = -$0.005*n + $90.
Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When he filled the tank, he recorded the mileage as 24,033 miles. It cost him $83.38 to fill his completely empty gas tank. Then If gas cost $3.79 per gallon, how many gallons of gas can his tank hold? Then When he got to their destination there was exactly ¼ that amount of gas left in the tank. The new mileage on the truck was 24,297 miles. Determine the gas mileage, in miles per gallon, for the trip. How many gallons were used? How many miles were driven? How many miles per gallon did his truck get?
Step-by-step explanation:
Given data
initial mileage=24,033 miles.
cost to fill tank=$83.38
cost per gallon= $3.79
1. capacity of tank=83.38/3.79=22 gallons
remianing gas= 1/4*22= 5.5gal
gas used= 22-5.5= 16.5gal
new mileage= 24,297 miles.
mile covered= 24,297 miles.-24,033 miles.
=264miles
miles per gallon is =264/16.5
=16miles per gallon
please help. i will mark brainleast
Answer:
9 is the answer.
Both negative signs cancel eachother, so you just have 45/5.
Step-by-step explanation:
Good luck! <3
If you can answer this question please do it as soon as you can.
3. 100x2-36y2 ??
ito pa guys pleasedddd!!
Answer:
4(5x - 3y)(5x + 3y)
Step-by-step explanation:
Assuming you require the expression factored.
Given
100x² - 36y² ← factor out 4 from each term
= 4(25x² - 9y²) ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
25x² - 9y²
= (5x)² - (3y)² ← with a = 5x and b = 3y
= (5x - 3y)(5x + 3y)
Thus
100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form
21st term: 3, 8, 13, 18 ?
Answer: 108
Step-by-step explanation:
Brad sells each cup of lemonade for $0.50 he wrote.
Answer:
What are we supposed to solve??? its incomplete
Step-by-step explanation:
Does this graph show a function?
Answer:
Yes it is a function.
Step-by-step explanation:
B is my answer.
Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...
Answer:
djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont
In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORRIW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS
Answer:
Step-by-step explanation:
In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON
GIVEN
KO = 4y+6
ON = 3y+11
Equate
4y+6 = 3y+11
Collect like terms
4y-3y = 11-6
y = 5
KO = 4(5)+6
KO = 20+6
KO = 26
Note that KO = OM = LO = ON = 26
Hence ON = 26
For diagonal KM,
KO+OM = KM
KM = 26+26
KM = 52
LN = LO+ON
LN = 26+26
LN = 52
From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°
<KON = 180-(32+32)
<KON = 180-64
<KON = 116°
<ONM = 90-32
<ONM = 58°
∆ONM is also an isosceles triangle,
<ONM = <OMN = 58°
Hence <KMN = 58°