What is the solution to the system of equations?
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)
The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.
Linear EquationThe equation whose variables have the highest power as 1 is known as a linear equation.
How to write the linear equation for the given situation?First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.
The cost of Ryegrass lawn seeds is $0.70 per pound.
So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.
The amount of Fescue lawn seeds purchased is 25 pounds.
And the cost of Fescue lawn seeds is $1.15 per pound.
So, the cost of all the Fescue lawn seeds purchased is,
= $1.15 x 25
= $28.75
And the total cost of buying the two types of lawn seeds is $48.
So, we can write the linear equation as,
0.70x + 28.75 = 48
Solving the linear equation for x, we get
0.70x = 48 - 28.75
0.70x = 19.25
x = 19.25/0.70
x = 27.5
Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.
Learn more about solving linear equations here - https://brainly.com/question/1682776
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Simplify: 3x-4(2x-6) + 9
4. Evaluate the following expression for r= 5.
2(r2 - 8)
Answer:
The expression is equal to 4
Step-by-step explanation:
Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:
2(r2-8) =
2(2(r)-8),
2(2(5)-8),
2(10-8),
2(2),
4
1. If 18 zombies eat 45 brains, then how many brains will 4 zombies eat?
brains
0
2. A machine can make 246 bolts in 6 minutes. If you run the machine for 33
minutes, how many bolts can it make?
T
14-
ol
C
3. You can buy 78 paper clips for a dollar. How much would it cost to buy 351
paper clips
9
8
4. A math teacher can make 45 students cry in 180 days. At this rate, how days
would it take to make 50 students cry?
What??? what is this?
Answer:
1. 180 brains
Step-by-step explanation:
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?
Answer:
The truck is on pace.
Step-by-step explanation:
To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.
Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)
Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)
When you do this you can see the mph of the bus is < the mph of the truck.
If you have any questions please leave them in the comments.
How do I solve both of the scenarios
Answer:
Scenario 1/129 veggie rolls/Scenario 2/59 Shrimpy BOis
Step-by-step explanation:
1/
129x .75 = 96.75=97
.95 x 56 = 53.2=53
2/
59 x .95 = 56.05=56
.75 x 38 = 28.5=28
The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point
need the coordinates to be able to answer
Geo has twice as many video games as Brianna has. Subtracting 7 from the number of video games. Geo has and dividing by 3 equals the number of video games Jamaal has. If Jamaal has 25 , how many video games does Brianna have
Answer:
41 games ( Brianna Has)
Geo has 82 because 25x25 equals 75 and 75+7 equals 82.
Answer:
Brianna Has 41 games
Step-by-step explanation:
The surface temperature ranges from -2°C to 31°C. Find the difference between the max and min temperatures.
Answer:
33
Step-by-step explanation:
Answer:
29c
Step-by-step explanation:
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
C.
Step-by-step explanation:
Some
One help me with this
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Slope equals rise/run. You find one perfect point (-2,0) and another along the line (1,2)
You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.
A hairdresser is deciding to open her own studio. If the hair dresser chooses Location A she will pay $1200 in rent and will earn $45 per
haircut. If she chooses Location B, she will pay $1800 in rent and will earn $60 per haircut. How many haircuts would she have to give to make
the same profit in either location?
Answer: x = Number of haircuts
Location A profit: 45x-1200
Location B profit: 60x-1800
(Lets assume that the profit is the same for each location)
45x-1200=60x-1800
By solving that we found:
x = 40 Haircuts
Hope this helps!
Step-by-step explanation:
HELP!! What is the value of B in terms of pie?
Answer:48
Step-by-step explanation:
Answer:
48
Explanation, cone with it's height to the value.
A-5-B when A=9 and B=-4
Answer:
8
Step-by-step explanation:
(Refer to picture)
Plug in the value of A and the value of B into the expression
Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).
Square root of 244 simplified radicals
Answer:
Exact Form:
2√61
Decimal Form:
15.62049935…
Step-by-step explanation:
I think lol
HELP ME PLEASE HURRY
Answer:
x=-2
Step-by-step explanation:
A number is written with 10 zeros, 10 ones and 10 twos. Is it possible for it to be a perfect square ? Please help. I don’t understand how to solve this...
Answer:
i am going to help you to understand this problem. if it is written with 10 0s it will be the billion place. because of the ten ones it will be 0,000,010, and because of the ten two's, which is 20, it will be 0,000,030. and when i searched up on google, and watched an episode of number blocks, no, 30 is not a square number OR a cube number.
Step-by-step explanation:
A dozen of roses cost $64.44. How much did each rose cost?
Answer:
5.37
Step-by-step explanation:
if 12 roses cost 64.44 and the price of one is x then
12x=64.44
x=64.44/12
x=5.37
Alright then! First question!
A graph has height (inches) on the x-axis and arm span (inches) on the y-axis. Points are at (30, 27), (45, 45), (53, 50), (60, 60), (67, 70), and (73, 72).
Identify if there is a relationship between the variables.
(A) No, there is no relationship because the points are all up and down.
(B) Yes, the relationship displayed shows arm span increasing as height increases.
(C) Yes, the relationship displayed shows arm span decreasing as height increases.
Answer:
hmmm...i wanna go with B
Step-by-step explanation:
because it goes from 30 to 45 and 45 and 45 to 53 to 50 then the 50 goes 60 meaning their both increasing as it it goes on
at least i believe im right haha hope this helped if its not to late
Answer: The answer is (B) Yes, the relationship displayed shows arm span increasing as height increases.
Step-by-step explanation: I got the answer correct hope this helps!
what are all the fractions that are equivalent to 1/7
Answer:
Some include: 3/21, 4/28, 5/35.
Step-by-step explanation:
You multiply the bottom by a number and then you multilpy the top by that same number!
1/7=3/21
1 times 3=3
7 times 3=21
A pack of 48 water bottles at Costco is $3.95. What is the unit rate price for each water bottle?
Answer:
use caculator and do 48 divided by 3.95
Step-by-step explanation:
and u will get your answer
A 42-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.
Answer:
4, 8, 30
Step-by-step explanation:
Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.
Equation:
x + 2x + 7x + 2 = 42
10x + 2 = 42
10x = 40
x = 4
The First piece is 4 inches
Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.
Hope this helps!!!
Ron is planning for the back-to-school rush at his store. Last year he estimated that he would need 168 notebooks, but he sold 200 notebooks. What was the absolute error in Ron’s estimate?
The absolute error is _______
Answer:
32
Step-by-step explanation:
Answer:
it is 32
Step-by-step explanation:
hellllp me with this plz thaks
I need help plz and plz explain why plz
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2
Answer:
The right answer is d. inverse variation; k=2
PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:y=9
Step-by-step explanation:
3.What is the area of a Square with sides measuring 9 inches?
Answer:
81
Step-by-step explanation:
length times width = area
Answer:
81 inches.
Because 9
Step-by-step explanation: