Answer:
x = -2y+77
y = -x/2+77/2
Step-by-step explanation:
The equation for x variable is x = 77 - 2y and for y variable it is; y = 77- x/2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
WE have been given linear equation in two variables: 2x + 4y - 31 = 123.
Solve for x and for y
2x + 4y - 31 = 123.
Add 31 to both sides
2x + 4y - 31 + 31 = 123 + 31
2x + 4y = 154
Solving for x then Subtract 4y from both sides
2x + 4y -4y = 154 - 4y
2x = 154 - 4y
Divide by 2
x = 77 - 2y
y = 77- x/2
Learn more about linear equations;
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Hernando ate StartFraction 2 Over 8 EndFraction of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally. To determine the fraction of the whole pizza that each of his friends received, Hernando performed the calculations below. StartFraction 6 Over 8 EndFraction divided by 6 = StartFraction (6 divided by 6) Over 8 EndFraction = one-eighth He concluded that each person received One-eighth of the whole pizza. Are Hernando's calculations correct? Explain why or why not. Yes, they are correct. Hernando divided 6 by 6. Yes, they are correct. Hernando divided Two-eighths by 6. No, they are not correct. Hernando should have multiplied by 6, not divided by 6. No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.
Answer:
Yes, they are correct. Hernando divided 6 by 6.
Step-by-step explanation:
Given that:
Hernando ate 2/8 of a pizza for dinner.
Let the pizza be x. Then:
Hernando ate [tex]\dfrac{2}{8} \ \ o f \ \ x[/tex]
Then he gave the rest of the pizza to his friends
Hernando now carried out the following calculations to support his activities;
[tex]\dfrac{6}{8} \div 6= \dfrac{6 \div 6}{8}= \dfrac{1}{8}[/tex]
[tex]\dfrac{6}{8} \times \dfrac{1}{6}= \dfrac{6 \div 6}{8}= \dfrac{1}{8}[/tex]
From the above calculation; we will see that Hernando divided 6 by 6 in both cases to get [tex]\dfrac{1}{8}[/tex].
Thus, the correct answer is:
Yes, they are correct. Hernando divided 6 by 6.
Answer:
A Yes, they are correct. Hernando divided 6 by 6. on edge
Step-by-step explanation:
hope this helps:)
Would you classify 196 as a perfect square, perfect cube, both, or neither?
6 = −2(x + 5) + 2
SOLVE ... GET BRAINLYYY
Answer:
x=-7
Step-by-step explanation:
Answer:
x= -7
Step-by-step explanation:
6= -2(x+5)+2
6= -2x-10+2
6= -2x-8
14/-2= -2x/-2
-7=x
which pair of sides in this shape are parallel? please answer:(
Answer: R S and P T
They both are parrelell to each other.
Answer:
PT RS
Step-by-step explanation:
Parellel is 2 lines that will continue forevever and ever with out crossing eachother.
What are the leading coefficient and degree of the polynomial
6x^2-10+18x^3+x
Answer:
Leading coefficient: 18
Degree:3
Step-by-step explanation:
3 is the highest degree, and when put in order of degrees, 18 is the leading coefficient.
The product of a number x minus 5 and three less than twice x.
What is the value of the expression when x=4?
Answer:
REEEEE ( i had to answer bc every time i refresh it brings me to this -_- sorry :(
Step-by-step explanation:
A half-marathon 13 miles, how many kilometers is that?
Answer:
20.921
Step-by-step explanation:
I looked it up
Shelly wants to find the speed that her dog can run. What should Shelly do?
A.measure the size of the dog and the distance it runs
B.measure the distance the dog runs
C.measure the time the dog runs
D.measure the time it takes for the dog to run a certain distance
Answer:
Step-by-step explanation:
D
Answer:
Measure the time it takes for the dog to run a certain distance.
Speed= Distance/Time taken
Step-by-step explanation:
is (x-1) a factor of(x^3 -2x^2-3x)?
Answer:
x(x-3)(x+1)
Step-by-step explanation:
Question: The equation Cost = number of toppings x 3 +2 represents... *
ANSWER #1 The store charges $3 for a pizza and then adds on $2 for every topping added
ANSWER#2 The store charges $2 for a pizza and then adds on $3 for every topping added
ANSWER #3 The store charges $3 for a pizza no matter how many toppings you add on
ANSWER #4 The store charges $2 for a pizza no matter how many toppings you add on
Answer: the answer would be
ANSWER#2 The store charges $2 for a pizza and then adds on $3 for every topping added
assuming that the equation is The equation Cost = 3(number of toppings ) +2 that means that its the number of toppings times 3, so 3 dollars for every topping and than the additonal 2 dollars for the pizza cost
....and dang, I wish i could get a two dollar pizza :(
x/4 = 8
With steps
Please and thank you
Answer:
x=32
Step-by-step explanation:
Multiply both sides by 4.
(x/4)*(4) = (8)*(4)
If anybody remembers and knows how to do this plz answer all the questions correctly thx!
Just fractions :)
(WILL MARK AS BRAINLIESTTT) promise!
Answer:
4. 1/4 5. 5/6 6. 2/3 7. 3/4 8. 9/10 9. 6/7
Step-by-step explanation:
I'm pretty sure its right
Answer:
4) 3/12, 1/12. (3/12 is larger)
5) 25/30, 18/30 (25/30 is larger)
6) 6/21, 14/21 (14/21 is larger)
7) 15/20, 4/20 (15/20 is larger)
8) 81/90, 80/90 (81/90 is larger)
9) 66/77, 63/77 (66/77 is larger)
28/9 as a mixed number
Answer:
3 1/9
Step-by-step explanation:
28/9=
9*3=27 r1
3 1/9
Answer: 3 1/9
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 28 by 9 and keep only what is to the left of the decimal point: 28 / 9 = 3.1111 = 3
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator. 28 - (9 x 3) = 1
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer.
the senate passed a bill by the ratio 8 to 1. if 90 people voted how amny voted for the bill
Answer:
80 voted for the bill
Step-by-step explanation:
90 / (8+1) = 10
10 = 1
10 * 8
= 80
whats the equation of the line passing through the points (6,1) and (2,-1)
Answer:
63
Step-by-step explanation:
64x67+18=37
The graph below shows the relationship between time and distance traveled by a race car moving at a constant rate and at its maximum speed. How long did it take the race car to travel 480 miles? Race Car Data Distance (miles) 800 700 600 500 400 300 200 100 0 0.5 1.5 2.5 3.5 4.5 5.5 6.5 Time (hours).
Step-by-step explanation:
From the table we can make comparison between the distance travelled and the time taken. It can be seen that the time increases as the distance decrease.
If the car travels 700 miles in 0.5seconds and 600miles in 1.5secs, we can calculate the speed of the car using the formula;
v = change in distance/change in time
v = ΔS/Δt
v = 700-600/0.5-1.5
v = 100/-1
v = -100mi/hr
Since Speed = Distance/Time
-100 = 480/Time
Time = 480/-100
Time = -4.8s
Hence it will take the car 4.8seconds to travel 480miles.
9 and 10 ?????pleaseee
Multiply
Step-by-step explanation:
Take all the numbers and multiply
Your quiz grades are 73, 75, 89, and 91. What is the lowest grade you can obtain and still achieve an average of at least 85?
2 = 2 = 1x2
————————————
2+4 = 6 = 2x3
————————————
2+4+6 = 12 = 3x4
————————————-
2+4+6+8 = 20 = 4x5
————————————-
2+4+6+8+10 = 30 = 5x6
____________________
Look at the table. Make a conjecture about the sum of the first 30 positive even numbers.
A: The sum is 29 x 30
B: The sum is 31 x 32
C: The sum is 30 x 30
D: The sum is 30 x 31
Arabica coffee costs $28 per pound and Robusta coffee
costs $8.75 per pound. How many pounds of Arabica coffee
must you mix with 3 pounds of Robusta coffee to make a
blend that costs $15.50 per pound?
Answer:
1.62 pounds
Step-by-step explanation:
Let x be the pounds of Arabica
Take the number of pounds times the cost of each of the coffees individually
This must be equal to the number of pounds times the cost together
x * 28 + 8.75 *3 = ( x+3) 15.50
28x+26.25=(x+3)15.50
Distribute
28x+ 26.25 = 15.50x + 46.50
Subtract 15.50x from each side
28x-15.50x +26.25 = 15.50x +46.50-15.50x
12.50x + 26.25 = 46.50
Subtract 26.25 from each side
12.50x +26.25-26.25 = 46.50-26.25
12.50x = 20.25
Divide each side by 12.5
12.5x/12.5 = 20.25/12.5
x =1.62
Answer:
I think its 1.62 pounds
PLEASE HELP!!!!.......
For weeding the garden Eugene was given
$8. Now he has $38. How much money did
he have before?
Answer:
$30
Step-by-step explanation:
$38-$8=$30
Answer: 30
Since Eugene just got $8, and the question is asking how much he had before that, we have to subtract 8 from 38.
38 - 8 = 30
So, the answer is 30. Hope this helps!
Can somebody who knows how to do this answer both correctly thx!!!!
(Will mark as brainliest)
:D
Answer:
11) 1 3/8
12) 17/18
Step-by-step explanation:
Hey square playing field has an area of 1255 yd.² about long is each side of the field
Answer:
Step-by-step explanation:
155
What is 127 estimated to the nearest whole
Answer:
130
Step-by-step explanation:
Answer:
130
127 is above 125 therefor it is 130 rounded to the nearest tenth.
At the same rate, how many miles did she bike in the next 15 minutes?
m∠1 = (2x + 13)° and m∠2 = (8x - 43)°. What is m∠1 ?
Answer:
[tex]\boxed {\angle 1 = 45\textdegree}[/tex]
Step-by-step explanation:
First you need to write an expression by using the following equations from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve for [tex]x[/tex]:
[tex]\angle 1 = 2x + 13[/tex]
[tex]\angle 2 = 8x - 83[/tex]
[tex]2x + 13 = 8x - 83[/tex]
-Solve:
[tex]2x + 13 = 8x - 83[/tex]
[tex]2x + 13 - 8x = 8x - 8x - 83[/tex]
[tex]-6x + 13 = -83[/tex]
[tex]-6x + 13 - 13 = -83 - 13[/tex]
[tex]-6x = -96[/tex]
[tex]\frac{-6x}{-6} = \frac{-96}{-6}[/tex]
[tex]x = 16[/tex]
After you have found the value of [tex]x[/tex], you need to apply the value of [tex]x[/tex] to the equation of [tex]\angle 1[/tex] and solve for the measurement of [tex]\angle 1[/tex]:
-The value of [tex]x[/tex]:
[tex]x = 16[/tex]
-Solve for the measurement of [tex]\angle 1[/tex]:
[tex]2x + 13[/tex]
[tex]2(16) + 13[/tex]
[tex]32 + 13[/tex]
[tex]45\textdegree[/tex]
-The measurement of [tex]\angle 1[/tex]:
[tex]\boxed {\angle 1 = 45\textdegree}[/tex]
on a map 2 inches represent 60 miles if a line between two cities measures 9 inches, how many miles apart are they?
Answer:
270 miles.
Step-by-step explanation:
2 inches/60= 30 miles per inch. 9 inches times 30 = 270.
-2(4ab+3-4c) Use the distributive property to rewrite the expression above
Answer:
-8ab-6+26
Step-by-step explanation:
-2(4ab+3-4c)
-2(4ab) = -8ab
-2(3) = -6
-2(-4c)= 2c
Combine:
-8ab-6+26
parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are corresponding angles with angle 8?
Option A is correct answer
Answer: Option A
(A) <4 and <12
Step-by-step explanation: