Which system of equations best represents the situation below?
A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 3 potatoes for $10
3 tomatoes, 2 eggplants, 4 potatoes for $14
4 tomatoes, 2 eggplants, 6 potatoes for $20
Answers
Answer:
A.
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
Step-by-step explanation:
Hi, to answer this question we have to write a system of equation with the information given:
The price of each package will be equal to sum of the products of each vegetable (a,b or c) and their respective amount :
So:
2 tomatoes, 1 eggplant, 3 potatoes for $102a +1b+3c =10
3 tomatoes, 2 eggplants, 4 potatoes for $143a+2b+4c=14
4 tomatoes, 2 eggplants, 6 potatoes for $204a+2b+6c=20
The system is:
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
(option A)
Feel free to ask for more if needed or if you did not understand something.
Related Questions
10=|m+2| solve the equation
Answers
Answer:
8 = m -12 =m
Step-by-step explanation:
10=|m+2|
There are two solutions to the absolute value equation, one positive and one negative
10 = m+2 -10 = m+2
Subtract 2 from each side
10-2 = m+2-2 -10-2 = m+2-2
8 = m -12 =m
Answer:
8, -12
Step-by-step explanation:
use a online calculator
How do I solve this 4x-2y=8 y=3/2x-2
Answers
Answer:
y=1 and x= .5
Step-by-step explanation:
distribute
the x has to be solved
they when got the answer
input the answer you got for x into the y and subtract and divide
the answer is one for x
14 weeks is expressed as a percentage of 50 weeks is?
Answers
Answer:
28%
Step-by-step explanation:
Fraction= 14 out of 50 weeks
To find percentage multiply the fraction by 100
14/50 * 100
= 1400/50
= 28 percent
Answer:
28%
Step-by-step explanation:
50 ws ................ 100%
14 ws ......................x%
x = 14*100/50 = 14*2 = 28%
Which is the equation of the graphed line written in standard form?
A. y=x
B. x-1/2y=0
C. x-y=0
D. y=1/2x
Answers
Answer:
The standard for of this equation is x – y = 0
Firstly, options A and D are not in standard form, so they are not options.
To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).
x – y = 0
2 - 2 = 0
0 = 0
This is true for option C. Therefore, it is correct.
hope this helps
Which statement can be represented by the equation 18+m-7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answers
Answer:
Eighteen decreased by a number, m, is seven point two.
Step-by-step explanation:
18+m=7.2
m=7.2-18
m= -10.8
18+(-10.8)
18-10.8=7.2
Eighteen decreased by a number m is seven point two
The statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
HOW TO ANALYZE WORD PROBLEM?Word problem are used in mathematical solutions to create a word out of mathematical expressions and vice versa.
According to this question, the following expression is given: 18+m = 7.2
The mathematical expression can also be written as m = 7.2 - 18
Therefore, the statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.
Learn more about word problems at: https://brainly.com/question/468645
Please answerrrrrrr !!!! please
Answers
What is the product of -2.49 and 2.24?
Answers
Answer:
-5.5776
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
Answer:
Hey!
Your answer is -5.5776!
Step-by-step explanation:
-2.49 times 2.24 = -5.5776
That is your solution!
HOPE THIS HELPS!!
Evaluate 5(6) -c ifc=7
Answers
Work:
5(6)-7
5(6)=30
30-7=23
Answer:
The answer should be 23.
Step-by-step explanation:
If C=7, then you just need to plug 7 into the equation.
5(6) - 7
From there, you just need to multiply 5 times 6 which is 30. After that you have 30-7 which gets you 23.
To convert a distance of 4500 yards to miles, which ratio could you multiply
by?
O A.
1760 miles
1 yard
B.
5280 feet
1 mile
C.
1760 yard's
1 mile
D.
1 mile
1760 yards
SUBMIT
Answers
1 mile / 1760 yards
An electrician charges $15 per hour and spends $30 a day on gasoline. At the
end of the day, he is left with $105. Represent his earnings for one day using
a mathematical statement if he works for "x" hours in a day.
Answers
The graph of a quadratic equation opens down when the value of is negative.
Answers
Answer:
given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value
Step-by-step explanation:
Factor completely 40xy2 − 36x2y. (4 points)
4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)
Answers
Answer:
4xy(10y - 9x).
Step-by-step explanation:
40xy2 − 36x2y
The Greatest Common Factor (GCF) of 40 and 36 is 4.
GCF of x and x^2 is x,
GCF of y^2 and t is y.
So GCF = 4xy.
and the factors are:
4xy(10y - 9x).
A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?
Answers
Answer:
t = 2 sec
Step-by-step explanation:
h = – 2t²– 6t + 20
When the rocket hits the ground. h = 0 ft.
– 2t²– 6t + 20 = 0 /: (-2)
t² + 3t - 10 = 0
(t + 5)(t - 2)=0
t = - 5, t = 2
Time can be only positive.
The number 16 has two square roots: 4 and _
Answers
Answer:
4
Step-by-step explanation:
4 times 4 = 16
Answer:
sqrt(16) = +4 and -4
Step-by-step explanation:
A square root has a positive and a negative square root
sqrt(16) = +4 and -4
Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.
O (2, -1) satisfies the inequality, but (- 4, 2) does not.
Both (2, -1) and (-4, 2) satisfy the inequality.
(-4,2) satisfies the inequality, but (2, - 1) does not.
Neither (2, - 1) nor (- 4,2) satisfies the inequality.
Answers
Answer:
Both
Step-by-step explanation:
The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
(2, - 1) and (-4, 2) and inequality 2x – 3y > 4
Now, (2, -1)
2(2) - 3(-1)
4 + 3
7>4
and, take (-4, 2)
2(-4) - 3(2)
= -8 -6
= -14 < 4
Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.
Learn more about Inequality here:
https://brainly.com/question/28823603
#SPJ5
help me please <3 thank youu
Answers
Answer:
7,2,3
D
Step-by-step explanation:
directly with the number of tickets suppose seven tickets cost 126 how much would 12 tickets cost
Answers
Explanation: first you have to do 126/7 to find out how much each individual ticket costs. That would be 18 dollars per ticket. Then you do 18*12 and you get $216.
Answer:
$216
Step-by-step explanation:
126 ÷ 7 = $18
18 × 12 = $216
NEED HELP. as soon as possible
Answers
The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.
Answers
Insufficient evidence. Would you please send a screenshot or a picture of the paper?
A six-foot-tall basketball player shoots a ball towards the basket and misses. The height in feet of the ball up off the floor of the court as it travels through the air can be modeled by the function: [tex]h(x)=-16x^2+48x+6[/tex] where x is the number of seconds the ball is in the air after the shot is taken. When does the ball reach its maximum height? What is the maximum height of the ball? How much time will pass in seconds from the start of the shot to the ball hitting the floor? Answer all three questions to receive full credit.
Answers
Answer:
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Step-by-step explanation:
Step(i):-
Given h(x) = - 16 x² + 48 x +6 ...(i)
Differentiating equation (i) with respective to 'x'
[tex]h ^{l} (x) = - 16 (2 x) +48 (1)[/tex] ...(ii)
Equating Zero
- 3 2 x + 4 8 = 0
- 32 x = - 48
x = 1.5
step(ii):-
The maximum height of the ball 'x' = 1.5
Again Differentiating equation (ii) with respective to 'x'
[tex]h ^{ll} (x) = - 16 (2 x) < 0[/tex]
The maximum height 'x' = 1.5
h(x) = - 16 x² + 48 x +6
h(1.5) = - 16 (1.5)² +4 8 (1.5) +6
= 42
The maximum height at x = 1.5 is = 42
Final answer:-
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
PLEASE HELP! I'M STRUGGLING! WILL GIVE BRAINLIEST
Consider the letters of the word STRIVE are written on individual cards are placed in a box.
What is the complement to randomly choosing an R?
Answers
Answer:
1/6
Step-by-step explanation:
Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)
Answer: 5/6
The complement of an event is basically the complete opposite.
If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.
The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get
1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6
Find the value of x from this question
Answers
Answer:
45 degrees
Method: Parallel
60 miles/1 hour * 5380/1 mile * 1 hour/60 min * 1 min/60 seconds
Answers
Answer:
Don't understand this
A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder? A A cone with a volume of 32 cubic feet B A sphere with a volume of 18 cubic feet C A cone with a volume of 72 cubic feet D A cone with a volume of 8 cubic feet
Answers
Answer:
A. a cone with a volume of 32 cubic feet
Step-by-step explanation:
A museum opened at 8:00 a.m. In the first hour, 350 people purchased admission tickets. In the second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50.What was the total amount of money paid for all the tickets purchased in the first two hours? Show your work.
Answers
Answer: $13,475
Step-by-step explanation:
1st hour = 350
2nd hour = 420
Total 770 x $17.50 = $13475
Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
Ty
Answers
Answer:
W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)
Step-by-step explanation:
In the figure attached, the quadrilateral W'X'Y'Z' is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:
W'(2, 3) -> W(-2, -3)
X'(6, 3) -> X(-6, -3)
Y'(6, 4) -> Y(-6, -4)
Z'(3, 5) -> Z(-3, -5)
Answer:
the answer is A
Step-by-step explanation:
Mark me brainliest
15 POINTS!!!
Solve 3(−3−3x)+4=−5.
The solution is x=___
Answers
One solution was found :
x = 0
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(-3-3*x)+4-(-5)=0
Step by step solution :
Pull out like factors :
-3 - 3x = -3 • (x + 1)
Equation at the end of step 2 :
(-9 • (x + 1) + 4) - -5 = 0
Equation at the end of step 3 :
-9x = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : -9x = 0
Multiply both sides of the equation by (-1) : 9x = 0
Divide both sides of the equation by 9:
x = 0
One solution was found :
x = 0
Plz help me it’s emergency
Answers
Answer:
idk
Step-by-step explanation:
1/4 can also be written as .25
1 divided by 4 is .25
114 times .25 = answer
154 times .25 = answer
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
The range of the function f(x) = 3x3 when its domain is {2, 5} is
Answers
Answer:
[tex]Range = [24, 375][/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3[/tex]
[tex]Domain = [2,5][/tex]
Required
Find the Range
The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5
When x = 2;
f(2) is as follows;
[tex]f(2) = 3*2^3[/tex]
[tex]f(2) = 3 * 8[/tex]
[tex]f(2) = 24[/tex]
When x = 5;
f(5) is as follows;
[tex]f(5) = 3*5^3[/tex]
[tex]f(5) = 3 * 125[/tex]
[tex]f(5) = 375[/tex]
Hence, the range of the function is [24, 375]
I don’t know how to label the sides as “opposite, adjacent, hypotenuse” so I’m not sure which formula to use
Answers
Step-by-step explanation:
The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)
I'll explain a bit more below using the some of the questions.
Q1) The given angle here is 27°.
X is facing the given angle hence it is the opposite side.
The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.
tanθ= opp/adj
tan27°= x/ 10
x= 10(tan 27°)
x= 5.1 units (nearest tenth)
Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.
cosθ= adj/hyp
cos39°= x/7
x= 7(cos39°)
x= 5.4 units (nearest tenth)
Q4) x is the hypotenuse and the opposite side is 8 units long.
sinθ= opp/hyp
sin46°= 8/x
x(sin46°)= 8
x= 8/ sin46°
x= 11.1 units (nearest tenth)
Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.
tanθ= opp/adj
tan23°= x/6
x= 6(tan 23°)
x= 2.5 units (nearest tenth)
Feel free to ask if you still do not understand any concepts :)
sinθ= opp/hyp
cosθ= adj/hyp
tanθ= opp/adj
