Answer:
x = 10
y = 10
Step-by-step explanation:
60x + 40y = 1000
x + y = 20
a. If x is number of kilos of mango and number of kilos of apple, then the equation is: x + y = 20
b. Equation for the cost of fruits
60x + 40y = 1000
c. The system equations are x + y = 20 and 60x + 40y = 1000
d. Solve by any method.
60x + 40y = 1000 (2)
x + y = 20 (1)
x = 20 - y
Substitute into (2)
60x + 40y = 1000 (2)
60(20 - y) + 40y = 1000
1200 - 60y + 40y = 1000
- 20y = 1000 - 1200
-20y = - 200
y = -200/-20
= 10
y = 10
Substitute y = 10 into (1)
x + y = 20
x + 10 = 20
x = 20 - 10
x = 10
(e) Check if your result will satisfy the problem.
60x + 40y = 1000
60(10) + 40(10) = 1000
600 + 400 = 1000
1000 = 1000
Creating a system of linear equations and solving using elimination method, the number of mangoes and apples purchased is 10.
Let :
Number of apples = a Number of mangoes = bThe system of equations which could be formed :
a + b = 20 - - - - - - (1)40a + 60b = 1000 - - - - - - (2)From (1)
a = 20 - b - - - - - (3)Substitute a = 20 - b into (2)
40(20 - b) + 60b = 1000
800 - 40b + 60b = 1000
Collect like terms
-40b + 60b = 1000 - 800
-20b = - 200
b = 200/20
b = 10
Substitute b = 10 in (3) :
a = 20 - b
a = 20 - 10
a = 10
Therefore, the Number of apples and mangoes purchased is 10
Learn more :https://brainly.com/question/15165519
Chickens
By LiamReptile
An Original Song
Chickens
They get on with life as a queen,
They're a short kinda type.
They like playing golf on Sundays,
They like rowing boats in the week.
They like to contemplate chickens.
But when they start to daydream,
Their mind turns straight to ducks.
Shala la la la la la!
Do they love ducks more than chickens?
Do they love ducks more than chickens?
They like to use words like 'muppet,'
They like to use words like 'jiggle.'
They like to use words about chickens.
But when they stop their talking,
Their mind turns straight to ducks.
Shala la la la la la!
Do they love ducks more than chickens?
Do they love ducks more than chickens?
They like to hang out with Laura,
They like to kick back with Alice,
But when left alone,
Their mind turns straight to ducks.
Shala la la la la la!
Do they love ducks more than chickens?
Do they love ducks more than chickens?
They're not too fond of giant bugs,
They really hate rude people,
But they just think back to ducks,
And they're happy once again.
Shala la la la la la!
Answer:
cool!!
Step-by-step explanation:
Which equation represents a line that passes through (–2, 4) and has a slope of StartFraction 2 Over 5 EndFraction.?
Answer:
A: y-4=2/5 (x+2)
Step-by-step explanation:
Julio says, "If you subtract 16 from my number and multiply the difference by - 3, the result is -48."
What is Julio's number?
Answer:
Julio's number is 32
Step-by-step explanation:
-3(x-16) = -48
-3x+48=-48
-3x=-96
x=32
Dusty has a summer lawn-mowing business. In one week, he mows 20 lawns and earns a total of $450. If he charges the same amount for each lawn, how much does Dusty charge to mow a lawn?
Answer:
Step-by-step explanation:
Write in slope-intercept form,
y=mx + b. − mowing, week, 20, 450
I LOVE CRYSTAL MATH !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
tell me why do you like crystal math:)
Step-by-step explanation:
Answer:
I think you mean with a e but always stay in school kids
Step-by-step explanation:
Oscar is buying some headphones for $18 will have to pay 8% in sales tax.how much will Oscar pay in taxes?
Answer:
$1.44
Step-by-step explanation:
i NEEEEED HELP ASAPPPP PLS ANSWER AND DONT USE MY POINTS
HELP ME... 45 POINTS WILL BE GIVEN. PLEASE.
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
Answer:
it might be 7 or 10.69
Step-by-step explanation:
4÷42.78=10.69
Alegria va a la tienda a comprar arroz y azucar, pero solo tine 20, si cada libra de arroz cuesta 0.60 y de azucar cuesta 0.80, cuantas libras de cada una le alcanzan para comprar
Answer:
Alegría puede comprar 16.667 libras de arroz y 12.5 libras de azúcar con 20 pesos.
Step-by-step explanation:
Sabemos que una libra de arroz cuesta 0.60 pesos, mientras que una de azúcar cuesta 0.80 pesos. Un enfoque posible es determinar cuantas libras de arroz se obtiene por el mismo dinero para adquirir una libra de azúcar a través de una regla de tres simple:
[tex]x = \frac{0.80\,\$}{0.60\,\$}\times 1\,lb[/tex]
[tex]x = \frac{4}{3}\,lb[/tex]
Esto quiere decir que por cada tres libras de azúcar, se compra cuatro libras de arroz. Ahora, la cantidad de alimentos que puede comprar Alegría queda restringida al dinero disponible (20 pesos) y se describe por la siguiente ecuación:
[tex]0.60\cdot x +0.80\cdot y = 20[/tex] (Ec. 1)
Donde:
[tex]x[/tex] - Cantidad de arroz, medida en libras.
[tex]y[/tex] - Cantidad de azúcar, medida en libras.
Además, la siguiente ecuación se deriva de la regla de tres del inicio del problema:
[tex]x = \frac{4}{3} \cdot y[/tex] (Ec. 2)
Si aplicamos (Ec. 2) en (Ec. 1) y resolvemos la ecuación resultante, tenemos que:
[tex]0.60\cdot \left(\frac{4}{3}\cdot y \right) + 0.80\cdot y = 20[/tex]
[tex]1.60\cdot y = 20[/tex]
[tex]y = 12.5\,lb[/tex]
De (Ec. 2) tenemos que la cantidad de arroz es:
[tex]x = 16.667\,lb[/tex]
En consecuencia, Alegría puede comprar 16.667 libras de arroz y 12.5 libras de azúcar con 20 pesos.
Alegría puede comprar 33.333 libras de arroz o 25 libras de azúcar.
Dado que Alegría va a la tienda a comprar arroz y azúcar, pero solo tiene $20, si cada libra de arroz cuesta $0.60 y de azúcar cuesta $0.80, para determinar cuántas libras de cada una le alcanzan para comprar se debe realizar el siguiente cálculo:
Arroz = 20 / 0.6Arroz = 33.333Azúcar = 20 / 0.8Azúcar = 25Por lo tanto, Alegría puede comprar 33.333 libras de arroz o 25 libras de azúcar.
Aprende más en https://brainly.com/question/18296528
Ziyoda has 32 books, including 12 books by her favorite author. PART A: First, represent the number of her favorite books out of the total as a fraction. Then convert it to a decimal, by explaining your steps.
Answer:
3/8 = 0.375
Step-by-step explanation:
Favorite book = 12
Total books = 32
represent the number of her favorite books out of the total as a fraction.
= Favorite book / total book
= 12 / 32
= 6 / 16
= 3 / 8
Then convert it to a decimal,
3/8
= 3 ÷ 8
= 3/1 × 1/8
= 3 × 0.125
= 0.375
Note: 1/8 = 0.125
3/8 = 0.375
Which equation represents a line which is parallel to the line 4x + 5y=10
which parent functions do not have a domain of all real numbers?
Using domain concepts, it is found that the two most known functions that do not have a domain of all real numbers are fractions and even roots.
---------------------
The domain of a function is composed by all possible values that the input can assume.Functions such as linear functions and quadratic functions have no restrictions, thus, their domain is all real numbers.---------------------
In fractions, there are is a restriction, that the denominator cannot be zero, thus, values for the input which make the denominator zero are outside the domain, and the domain is not all real numbers.In even roots, there is a restriction, as the even roots of negative numbers do not exist in the real domain, and thus, values for the input which makes the number inside the root negative are outside the domain, and the domain is not all real numbers.Thus, the most known functions that do not have a domain of all real numbers are fractions and even roots.A similar problem is given at https://brainly.com/question/13136492
Can like terms have different exponets?
Answer: "Like terms" are terms whose variables (and their exponents such as the 2 in x^2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.
Step-by-step explanation: Hope this helped
if the degrees of a triangle are 60 degrees, 3x degrees, and (x+20) degrees, and the sum of the angle measures is 180 degrees, what is the value of X
Answer:
170x hopes this helps
Step-by-step explanation:
Which satements about the trend ine in tem zaretruer
A The sose is the cost of one book
The sose is te oost of Harzs und
The nese is the cost of one ook
The Finteceste cost of Haras und
A special deck of cards has 12 cards. four are green, three are blue, and five are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin. A. How many elements are there in the sample space? 12 B. Let A be the event that a green card is picked first, followed by landing a tail on the coin toss. P(A) = Present your answer as a decimal number rounded to two decimal places of accuracy. C. Let C be the event that a green or red is picked, followed by landing a tail on the coin toss. Are the events A and C mutually exclusive?(Yes or No) D. Let B be the event that a blue or red is picked, followed by landing a tail on the coin toss. Are the events A and B mutually exclusive? (Yes or No)
Answer:
A. Sample space = 6
B. 0.17
C. No
D. Yes
Step-by-step explanation:
A. The sample space of an experiment is the set of all possible outcomes of that experiment.
since there are three colours and 2 outcomes for a coin toss,
sample space = 3 * 2 = 6
B. Probability of picking a green first = 4/12 = 1/3
probability of a tail = 1/2
Probability of a green and a tail, P(A) = 1/3 * 1/2 = 0.17
C. No.
Considering the two events;
A; green card is picked first
C ; a green or red card is picked
There is an intersection point for the two events. Therefore, they are not mutually exclusive.
D. Yes.
Considering the two events;
A; green card is picked first
B ; a blue or red card is picked
There is no intersection point for the two events. Therefore, they are mutually exclusive.
Mr. Rawlings has a savings account of $2, 035 and recently has been spending $55 every month. He plans to do this until he runs out of money. What is the x intercept of this function?
Answer:
37
Step-by-step explanation:
Given that:
Amount in saving account = $2035
Monthly spending = $55 ; spending will continue until savings run out :
The function can be expressed as :
Savings - (monthly spending * period)
y = 2035 - 55x
The intercepts ;
Value of x, when y = 0
0 = 2035 - 55x
55x = 2035
x = 2035 / 55
x = 37
Value of y, when x = 0
y = 2035 - 55(0)
y = 2035 - 0
y = 2035
Hence, x intercept for the function is 37
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK + STEPS!! Thx!
Answer:
E
Step-by-step explanation:
Start by distributing:
y - 3 = 1/2(6-2x)
y - 3 = 3 -x
Add three to both sides:
y = 6 - x
Rearrange to make it look like an equation of a line:
y = -x + 6
Now all you have to do is plug in the points to see which point makes both side equal to one another. When you plug in (4,2), you get 2=2 which shows that that point is on the line.
graph y = -3x+7 please
Plz help!! I need the answer!!
*PLEASE ANSWER ASAP, DONT GET IT*
Which of the following graphs shows the solution set to x ≥ –3 and x < 3?
Answer:
It's the fourth one.
Step-by-step explanation:
The greater than or equal to means closed dot. The less than means open dot.
The line graph second represents the solution to the inequality which is x ∈ [-3, 3) option second is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have an inequality:
x ≥ –3 and x < 3
Here the and means intersection.
The solution of the x in the interval notation form:
x ∈ [-3, 3)
The line graph second represents the solution to the inequality.
Thus, the line graph second represents the solution to the inequality which is x ∈ [-3, 3) option second is correct.
Learn more about the inequality here:
brainly.com/question/19491153
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Un modelo para la elaboracion de panela tiene forma semiesferica , determina el mayor contenido de miel de caña que puede contener, si se sabe que el perimetro del circulo maximo es 31,4 cm
Answer:
El mayor contenido de miel de caña que puede contener el modelo semiesférico es aproximadamente 261.328 centímetros cúbicos.
Step-by-step explanation:
Sabemos que el volumen del modelo para la elaboración de la panela es directamente proporcional al cubo del radio de la esfera. Dado que el perímetro del círculo máximo ([tex]p_{max}[/tex]), medido en centímetros, es conocido, podemos obtener el radio del modelo según la siguiente fórmula:
[tex]r = \frac{p_{max}}{2\pi}[/tex] (Eq. 1)
Donde [tex]r[/tex] es el radio de la semiesfera, medido en centímetros.
([tex]p_{max} = 31.4\,cm[/tex])
[tex]r = \frac{31.4\,cm}{2\pi}[/tex]
[tex]r \approx 4.997\,cm[/tex]
Ahora, el mayor contenido de miel de caña que puede contenerse en el modelo semiesférico obedece a esta expresión:
[tex]V = \frac{2\pi}{3}\cdot r^{3}[/tex] (Eq. 2)
Donde [tex]V[/tex] es el volumen ocupado por la miel de panela, medido en centímetros cúbicos.
Si conocemos que [tex]r \approx 4.997\,cm[/tex], entonces ese volumen ocupado es:
[tex]V = \frac{2\pi}{3}\cdot (4.997\,cm)^{3}[/tex]
[tex]V\approx 261.328\,cm^{3}[/tex]
El mayor contenido de miel de caña que puede contener el modelo semiesférico es aproximadamente 261.328 centímetros cúbicos.
9x — 1 = 10x + 9
Y’all know how to solve this??
Answer:
1x=8 is the answer
Step-by-step explanation:
Answer:
x=-10
Step-by-step explanation:
subtract nine both sides
9x — 1 = 10x + 9
-9. -9. -9. -9
0. -10. 1. 0
1x is the same as x
x=-10
HELP ME AGAIN CUZ AM DUMB (7th grade math)
A pan has an original price of $32 but is marked down by 15 percent. Which equation shows the new price of the pan?
(32 dollars) (100 percent minus 15 percent) = (32 dollars) (85 percent) = 27 dollars and 20 cents
(32 dollars) (15 percent) = 4 dollars and 80 cents
(32 dollars) (15 percent) + 32 dollars = 4 dollars and 80 cents + 32 dollars = 36 dollars and 80 cents
(32 dollars) (185 percent) = 59 dollars and 20 cents
Answer:
$27.20
Step-by-step explanation:
we can rule out the others because they logically just dont make sense-
14. Evaluate the expression 3^x when x=-2 and x= 3. (1 point)
0 9 and 27
O 6 and 9
O 1/9 nd 27
0 -9 and 27
-10x - x
Simplify it
Answer:
-11x
Step-by-step explanation:
-x could be -1x, -10x-1x equals -11x
Help plz IT DUE IN 15 MINUTES PLZ HELP
Answer:
probably c
Step-by-step explanation:
add 7 to 18 and you get 25 and so on
Evaluate (3x + 8) – (2x + 7) when x = 3.
11
18
4
1
3(3) + 8 = 17
2(3) + 7 = 13
17 - 13 = 4
i need help i’m in a rush
Answer:
24
Step-by-step explanation:
Calculator
Choose the two rectangles that have an area of 18 square centimeters.
6 cm
9 cm
A
D.
3 cm
2 cm
9 cm
7 cm
B.
E.
9 cm
2 cm
5 cm
C.
4 cm
Answer:
a
Step-by-step explanation:
because thats what it is
Answer: a and c
Step-by-step explanation:u welcome