Answer:
The cost of one hosta is $6
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the variables are:
x = price of a hosta .y = price of a pot of ivy.If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62
If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144
So, the system of equations to solve is:
[tex]\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.[/tex]
One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.
Isolating y from the first equation:
[tex]y=\frac{62-5*x}{4}[/tex]
and replacing this expression in the second equation you get:
[tex]8*x +12*\frac{62-5*x}{4}=144[/tex]
Solving:
[tex]8*x +\frac{12}{4}*(62-5*x)=144[/tex]
8*x + 3*(62-5*x)=144
8*x + 3*62 - 3*5*x=144
8*x + 186 - 15*x=144
8*x - 15*x=144 -186
(-7)*x= -42
x= (-42)÷ (-7)
x= 6
The cost of one hosta is $6
I need help with these questions
Answer:
i really dont know to be honest
simplify (9a2‐18ab + 9b2 -25c2) ÷ (3a–3b+5c) brainly
Answer:
3a-3b-5c
Step-by-step explanation:
((3a-3b)²-(5c)²)÷(3a-3b+5c)=((3a-3b-5c)(3a-3b+5c))÷(3a-3b+5c)=3a-3b-5c
Read and write each number in expanded form
6,203,103
Answer:
6,000,000+200,000+3,000+100+3
Step-by-step explanation:
A music company offers lessons. They charge a registration fee $30 and the $40 per lesson. The equation y=40x+30 represents the total cost y of x lessons.
What is the y intercept and what does it represent in the context of the problem?
What is the slope and what does it represent in the context of the problem?
What is the total cost if 6 lessons where taken?
Answer:
The y-intercept is 30 and represents the registration fee
The slope is 40 and represents the cost per lesson
The total cost of 6 lessons is $270
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line ⇒ rate of changeb is the y-intercept ⇒ initial value∵ A music company charges a registration fee of $30 and $40 per lesson
∵ The equation y = 40x + 30 represents the total cost y of x lessons
→ By comparing it with the form of the linear equation above
∴ m = 40
∴ b = 30
∵ b represents the y-intercept
∴ The y-intercept is 30
∵ The y-intercept is the initial value (value y at x = 0)
∴ The y-intercept represents the registration fee
∵ m is the slope
∴ The slope is 40
∵ The slope represents the rate of change
∴ The slope represents the cost per lesson
∵ x represents the number of lessons
∵ The number of lessons is 6
∴ x = 6
→ Substitute x by 6 in the equation to find the total cost of 6 lessons
∵ y = 40(6) + 30
∴ y = 240 + 30
∴ y = 270
∵ y represents the total cost
∴ The total cost of 6 lessons is $270
if f(x)=e^x and g(x)=x-4 what is (g o f) (x)?
Answer:
Step-by-step explanation:
f(x)=[tex]e^{x}[/tex]
g(x)= x-4
g∅f(x) = [tex]e^{x}[/tex]-4
Answer:
(g•f)(x)=e^x -4
Step-by-step explanation:
find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))
Answer:
1=(90-20) = 70 (since right angle triangle)
2=90 because intersection of diagonals of a rhombus
3= 1 = 70° because triangle ADC is isosceles
4= 1 = 3= 70°
A cafe is open for six days a week. There was a mean number of 86 customers for five days. On the next day there were 122 customers. What is the mean number of customers over the six days?
Answer:
92
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
The sum of customers over the 5 days is
[tex]\frac{sum}{5}[/tex] = 86 ( multiply both sides by 5 )
sum = 430
Thus mean over the 6 days is
mean = [tex]\frac{430+122}{6}[/tex] = [tex]\frac{552}{6}[/tex] = 92
scott Consider the table below that represents a function Which number(s) below can be placed in the empty cell so that the table continues to represent a function? Select all that apply. 1.-16 2.-12 3.-8 4.19 5.20 6.43 7.47
Answer:
so sorry about the other guy point stealing they did it to me too here is the real answer
Step-by-step explanation:
Answer:
-8, -3, 2, and 15
Step-by-step explanation:
It's because you cannot have two of the same input with two different outputs.
all credit to this goes to user:happymindcraftnerd
what is the answer to the question?
Answer:
[tex]sum = (n - 2) \times {180}^{0} \\ {1980}^{0} = (n - 2) \times {180}^{0} \\ (n - 2) = \frac{1980}{180} \\ (n - 2) = 11 \\ n = 11 + 2 \\ n = 13 \: sides[/tex]
The class has 12 girls and 16 boys. What is the ratio of total students to boys in simplest form?
Answer:
7:4
Step-by-step explanation:
total students = 28
so ratio 28:16
which will be reduced to14:8
then 7:4
boys : girls
= 16 : 12
= 16/12
[After simplifying]
= 4/3
So, ratio of boys to girls in simplest form => 4 : 3
Hope it helps!
Cual es el tiempo que debe transcurrir para que un préstamo de $ 160.000 genere un interés de $ 15.000 a una tasa del 5,5% de interés simple.
Answer:
2 años.
Step-by-step explanation:
De la pregunta anterior, se obtuvieron los siguientes datos:
Principal (P) = $ 160,000
Intereses (I) = $ 15,000
Tasa (R) = 5,5%
Tiempo (T) =?
Así, podemos obtener el tiempo que tarda el préstamo de $ 160.000 en generar un interés de $ 15.000 a una tasa de interés simple del 5,5% de la siguiente manera:
I = PRT / 100
15000 = 160000 × T × 5.5 / 100
15000 = 880000 × T / 100
15000 = 8800 × T
Dividir ambos lados por 8800
T = 15000/8800
T = 1,7
T ≈ 2 años
Por lo tanto, tomará aproximadamente 2 años.
Anyone knows how to do this? Pls help
Answer:
E1488
Step-by-step explanation:
Since its E1200,
we find the total.
Total= time times money times interest.
1200*0.08 ( thats 8%) *3.
So, we multiply 1200*0.08*3.
the answer is 288.
1200+288 is 1488.
Hope this helps plz hit the crown :D
The Candle Company is having its seminual sale. All items are 40 percent off. If the original price of a candle basket is $120, what is the sale price
Answer:
the sale price would be $48
Step-by-step explanation:
To get the sale price you would have to find the decimal form of 40 which is 0.40. Then you multiply 0.40 by 120. And that is 48.00. So than the $48.00 becomes the sale price.
Hope that helps :)
7/12 divided by 5/9 in its simplest form
Answer: 1 and 1/20th. Don’t know if it’s in simplest form tho
Step-by-step explanation:
7/12 divided by 5/9, in its simplest form, is 21/20.
Given that we need to divide 7/12 by 5/9,
The reciprocal of a fraction is obtained by interchanging the numerator and the denominator.
So, to simplify 7/12 divided by 5/9, we multiply 7/12 by the reciprocal of 5/9:
7/12 ÷ 5/9 = 7/12 × 9/5
Next, we multiply the numerators and denominators:
(7 × 9) / (12 × 5) = 63/60
To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3:
63/60 = (63 ÷ 3) / (60 ÷ 3) = 21/20
Therefore, 7/12 divided by 5/9, in its simplest form, is 21/20.
Learn more about Division click;
https://brainly.com/question/2273245
#SPJ6
Anna jogs every morning. The graph shows the distance she jogs. What does the slope of the line represent?
The slope of a line is the rate of change of the function. The slope of the line shows that Anna jogs at a rate of 2m/s
Slope of a lineThe slope of a line is the rate of change of the function.
For the given graph, the slope will be the speed Anna covers, that is the total distance covered in a specified period of time
Using the coordinate points (10, 20) and (20, 40), the slope is expressedas:
Slope = 40-20/20-10
Slope = 20/10
Slope = 2
The slope of the line shows that Anna jogs at a rate of 2m/s
Learn more on slope here: https://brainly.com/question/3493733
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tape<33333333333333333333333333333333333333333333
:) :) :) :) :) :) :) :) :) :) :) :) :) :0 :) :) :) :) :) :) :) :) :) :) :) :) : ): : )
Answer:
tape
Step-by-step explanation:
tape is tape
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answer:
its b
Step-by-step explanation:
i need points sorry
what is the slope of a line that passes through (-1,4) and (4,9)
Answer:
1
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(9 - 4) / (4 + 1)
5 / 5
= 1
So, the slope is 1.
PLZZZZZZZZZ HELP!!!
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
the answer choice is B.
20 feet of lumber cost $138.40. what is the cost per foot
Answer: $6.92
Step-by-step explanation: Whenever you see the word per in a math problem, that means division. So right now, you could set up an equation that looks like this. 20L=130.40 (let L mean cost per foot of lumber). If you want to find the cost per foot you need have 1L or just L on one side of the equation. Well, the easiest way to do that would be to divide by 20 on both sides. And that would get you L= 6.92. And since L means the cost per foot of lumber, that cost would be $6.92. Hope this helps!
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders. How many students are eighth graders? *
Your answer
Step-by-step explanation:
100% - 40% - 20% = 40%.
40% of students are eighth graders.
Hence there are (40/100) * 70 = 28 eighth graders.
Which of the following equations is parallel to the line y=−14x+7 and passes through the point (−12,12)?
A
y=4x+60
B
y=4x−60
C
y=−14x+9
D
y=−14x−9
Answer:
d
Step-by-step explanation:
who can give me some extra points I need it please
Answer: sometimes I do giveaways for free points on my page! I may do one later today!!
Step-by-step explanation:
Answer:
meeeee I want free points
Please answer these!I will mark the brainiest!!
Answer:
Step-by-step explanation:
i dont have paper with me rn so i cant actually write the equations, but slope intercept is y=mx+b form so all you have to do is find the slopes (y2-y1/x2-x1) and plug a coordinate into point slope form. simplify and rearrange to y=mx+b form. hope this helped
jhony has ten apples he eats 1 how many does he have left
its odd you're in high school and you're asking this but its 9
When you isolate the variable, the goal is to get the variable
A
to equal 1.
B
on both sides of the equal sign to show they are equal.
C
by itself on one side of the equal sign and a value on the other.
D
by itself on one side of the equal sign and zero on the other side .
Answer:
C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
You isolate the variable on one side to see what number it is equal to.
Answer: C.
A car travels for x hours at a speed of (x + 2) km/h. If the distance
travelled is 15 km, write down an equation for x and solve it to find
the speed of the car.
Step-by-step explanation:
S = v/t
(x+2)km/h
((x+2)×1000)/(60×60) = (15×1000)/(60×60)
(5(x+2)/18) = 25/6
30(x+2) = 18×25
x+2 = 15
x = 13m/s
help...............
A recipe requieres 1/2 cup of flour for every batch of cookies. How many full batches of cookies can be made with 5 1/2 cups of flour?
(Hint: How many 1/2's are in 5 1/2?)
−2y−8+4y using distributive property
Hello
-2 y - 8 + 4y
= -2y + 4y -8
= 2y -8
or
2(y-4)
good day
Answer:
hope this is what you wanted
Step-by-step explanation:
simplified=2y-8
factored=2(y-4)