Answer:
Cada taza de café costaba 1.25
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita. Es decir, un sistema de ecuaciones es un conjunto de dos o más ecuaciones con varias incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, para definir el sistema de ecuaciones es necesario definir las variables:
x: precio de una taza de caféy: precio de una donaEntonces si el lunes Joe compró 10 tazas de café y 5 donas para su oficina a un costo total de 16.50, se puede plantear la ecuación: 10*x +5*y=16.50
Si el martes Joe compró 5 tazas de café y 10 donas por un costo total de 14.25, podes plantear la ecuación: 5*x + 10*y=14.25
Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{10*x+5*y=16.50} \atop {5*x+10*y=14.25}} \right.[/tex]
Se desea conocer el valor de cada taza de café, es decir, el valor de x. Para eso podes usar el método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente.
En este caso aislas el valor de y de la primer ecuación:
[tex]y=\frac{16.50-10*x}{5}[/tex]
Reemplazando en la segunda ecuación:
[tex]5*x+10*\frac{16.50-10*x}{5}=14.25[/tex]
y resolviendo obtenes:
[tex]5*x+\frac{10}{5}*(16.50-10*x)=14.25[/tex]
[tex]5*x+2*(16.50-10*x)=14.25[/tex]
5*x + 2*16.50 -2*10*x=14.25
5*x + 33 - 20*x=14.25
5*x - 20*x=14.25 - 33
(-15)*x= -18.75
x= (-18.75)÷(-15)
x= 1.25
Entonces, cada taza de café costaba 1.25
White shapes and black shapes are used in a game.
Some of the shapes are circles.
All the other shapes are squares.
The ratio of the number of white shapes to the number of black shapes is 5: 11
The ratio of the number of white circles to the number of white squares is 3:7
O
The ratio of the number of black circles to the number of black squares is 3:8
Work out what fraction of all the shapes are circles
Answer:
is my awnser is 73.97$ what's the 6.25% tax I have to convert 6.25 to a decimal
Step-by-step explanation:
(-2z+3)+(4+6y)+(7+3x)
Answer:
3x+6y-2z+14
Step-by-step explanation:
10
A. -2
B. 3
5
10
15
O C. -3
(-2, -3)
5
O D. 2
(-4,-9)
10
Please help
A rectangular prism with a volume of 5x + 13x² + 6x cubic units has a base area of x² + 2x square units. Find the height of the rectangular prism.
The height of the prism is units.
(Simplify your answer)
Answer:
h = 5x + 3
Step-by-step explanation:
I believe the volume should be [tex]5x^{3} + 13x^{2} + 6x[/tex] in the question. Based on the correction:
[tex]V = 5x^{3} + 13x^{2} + 6x\\A = x^{2} + 2x\\V = A.h\\h = \frac{V}{A} = \frac{5x^{3} + 13x^{2} + 6x}{x^{2} + 2x} = \frac{x(5x^{2}+13x+6}{x(x+2)}=\frac{5x^{2}+13x+6}{x+2} = \frac{(x+2)(5x+3)}{x+2} = 5x+3[/tex]
Can any kind soul help me ASAP!
Answer:
a) y= ⅔x -4
b) -4
Step-by-step explanation:
Please see the attached pictures for the full solution.
Please helpppppppppp
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
Answer:
31.25 kg of flour is needed to make 50 cakes
Step-by-step explanation:
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.
Flour needed to make 4 cakes = 2.5 kg
Flour needed to make 1 cake = [tex]\frac{2.5}{4}[/tex] kg
Flour needed to make 50 cakes = [tex]\frac{2.5}{4}\times 50[/tex]
= 31.25 kg
So, 31.25 kg of flour is needed to make 50 cakes
What is the scientific notation for (9x10^-3)2
Answer:
174 I'm pretty sure
Step-by-step explanation:
multiply 9 x10 = 90
subtract 90 - 3=87
multiply 87×2
Answer:81*10^-6 which becomes 8.1*10^-5
? maybe
Step-by-step explanation:
Jay uses 2 cups of flour to make 18 cookies. How much flour will he need for 60 cookies. Please explain.
Answer:
about 7 cups
Step-by-step explanation:
if he uses 2 cups for 18 cookies, then he uses 1 cup for 9 cookies. the closest whole number you can get is 63 (9 x 7) so he will need about 7 cups of flour for 60 cookies. hope this helps! :)
pls help asap! It’s due in one hour!!
1. x+y= 7
7x + ty = 77
The system above has NO SOLUTION when t= ?
2. x+y=7
7x+ty=49
The system above has INFINITELY MANY SOLUTIONS when t= ?
t is 35 for x+y= 7 and 7x + ty = 77, and the value of t is 7 for x+y=7 and 7x+ty=49
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given equations are x+y= 7..(1)
7x + ty =77
We need to find value of t.
Multiply equation 1 with 7
7x+7y-7x-ty=49-77
y(7-t)=-28
7-t=-28
-t=-28-7
-t=-35
t=35
Hence the value of t is 35
Now for equations x+y=7
7x+ty=49
7x+7y-7x-ty=49-49
7y-ty=0
y(7-t)=0
7-t=0
t=7
Hence the value of t is 7
Therefore, t is 35 for x+y= 7 and 7x + ty = 77, and the value of t is 7 for x+y=7 and 7x+ty=49
To learn more on Equation:
https://brainly.com/question/10413253
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The temperature is falling outside at a steady rate of 4 degrees Fahrenheit every hour. If the temperature starts at 68 Fahrenheit write a linear equation that relates the Fahrenheit temperature, F, to the time in hours, t, that it has been falling. Function notation is F(h)=.
Answer:
F(t)= -4t+68
Thats all I can say :)
The equation showing the relationship between the Farenheit temperature (F) and time (t) is F = 4t + 68
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Let F represent the Fahrenheit temperature in t hours.
The temperature is falling outside at a steady rate of 4 degrees Fahrenheit every hour. Hence, m = 4.
The temperature starts at 68 Fahrenheit, hence b = 68. The equation becomes:
F = 4t + 68
Find out more at: https://brainly.com/question/13911928
Resolve into fraction: 2x²+5x+3
Step-by-step explanation:
[tex]2 {x}^{2} + 5x + 3 \\ (x + 2)(x + 3)[/tex]
X = -2 or -3
Answer:
-2
Step-by-step explanation:
Help me please thank you
Math :::: Point on the can floor is 6,317m below sea level. Express this elevation as an integer.
The elevation as an integer is ____ m.
3(x+5) = x + 19
solution please
Consider the function and the value of a.
f(x) = 5 - x - x^2, a = 0
(a) Use Mtan = lim h->0 [f(a + h) – f(a)] / h
to find the slope of the tangent line mtan = f'(a).
Answer:
Mtan=1-2a
Step-by-step explanation:
Mtan=lim h->0[5-(a+h)-(a+h)^2-(5-a-a^2)/h
=lim h->0[5-a-h-a^2-2ah-h^2-5+a+a^2]/h
=lim h->0[h-2ah-h^2+5-5-a+a-a^2+a^2]/h
=lim h->[h-2ah-h^2 +0+0+0]/h
=lim h->o[h(1-2a-h)/h
=lim h->0 (1-2a-h)
=1-2a-0
=1-2a
Mtan=1-2a.
pls answer asap the sooner the better :)
Answer:
a+4=9.1Step-by-step explanation:
first we have two sides which are equalso according to the questionthe equation is4+a=9.1ſ of a class
of a class are girls.
Note: Give your answers
in their simplest forms.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?
What's the ratio or the fraction?
David buys 80 chocolate for £20 He sells 3/4 of the chocolates for 40p each He then sells the renaming for 20p each
Answer:
2800p
Step-by-step explanation:
The cost of 3/4 of the chocolates is £40.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that David buys 80 chocolate for £20 He sells 3/4 of the chocolates for 40p each
He then sells the remaning for 20p each.
Therefore,
80 chocolate = £20
one chocolate = 20/80 = £0.25
Then 3/4 of the chocolates = 40p
3/4 x 80 = 40p
60 = 40p
The remaning chocolates are;
80 - 60 = 20
Then 20 = 20p
p = 1
so, He sells 3/4 of the chocolates for £40.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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PLEASE DROP A CORRECT ANSWER!!
Answer:
C
Step-by-step explanation:
you keep the base the same which is 7 . Then add the exponets (small numbers) then you will get 11. Therefore, you put the base 7 over 11.
if f(x)=logx, explain the transformation that occurs when f(0.25(x-5))+3
Answer:
First, let's explain the transformations in a general way:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Horizontal dilation/contraction.
For a function f(x), an horizontal contraction dilation is written as:
g(x) = f(k*x)
where:
k is called the "scale factor"
If k < 1, then the graph "dilates" horizontally.
if k > 1, then the graph "contracts" horizontally.
Now, in this problem we have:
f(x) = log(x)
And the transformed function is:
g(x) = f(0.25*(x - 5)) + 3
Then, the transformations that take place here are, in order:
Vertical shift of 3 units up:
g(x) = f(x) + 3.
Horizontal shift of 5 units to the right:
g(x) = f(x - 5) + 3
Horizontal dilation of scale factor 0.25
g(x) = f( 0.25*(x - 5)) + 3
replacing f(x) by log(x) we have
g(x) = log(0.25*(x - 5)) + 3.
Deanna knows that the floor in her kitchen is a square with an area of 169 ft2. The perimeter of her kitchen floor is found by adding the lengths of all its sides. What is the perimeter of her kitchen floor? Explain how you found your answer.
Answer:
52 ft
Step-by-step explanation:
area of a square is l x w. all sides are equal so the l = w
A = 169 ft^2 so each side is the square root of 169 which is 13 ft
perimeter of the floor would be all four sides added or length of 1 side multiplied by 4 since they are all equal
Perimeter = 13ft × 4 = 52 ft
so:
Answer:
52m
Step-by-step explanation:
Area of the square floor = 169 m²
For a square with each side 's' , area will be s². Similarly , for a square with area 'a' , length of each side will be √a.So,
Length of each side of floor = √169 = 13m
For a square with each side 's' , its perimeter will be 4s.Hence ,
Perimeter of the kitchen = 13 × 4 = 52m
What is the diameter of a circular swimming pool with a radius of 8 feet? Enter only the number.
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
radius is half of diameter so you would just have to double the number.
Simon has 12/9 cups of muffin batter. His recipe calls for 1/3 cup of batter for each muffin. How many muffins can he make?
Answer:
4
Step-by-step explanation:
12/9=4/3
4/3/1/3=4
Answer:
4 muffins
Step-by-step explanation:
x + 3 = y,
make x the subject of the formula
1. x = y + 3
2. x = 3y
3. x = y-3
4. x=y/3
PLEASE HELP ME
I need help with this !!!
Answer:
the answer is B (9/50) for sure
I need help and fast pls!!
5(3-6x)=4(3x+7)+5x
solve the following equation step by step
Step-by-step explanation:
15-30x=12x+28+5x
15-30x=17x+28
-47x=13
x= -13/47
PLS SOMEONE ILL MARK YOU BRILLIANT AND GIVE YOU EXTRA POINTS!!!! Write the Linear Equation given:
1. Slope = 4; y-intercept = -5
2. Slope = 5; y-intercept = 3
3. Slope = -2; y-int; y-intercept = -8 4. Slope = 2⁄3; y- intercept = 2
5. Slope = -3⁄4; y-intercept = -2
6. Slope = 1⁄4; y-intercept = 7
7. Slope = -3; y-intercept = 2⁄3
8. Slope = 2⁄3; y-intercept = 10
9. Slope = -2; y-intercept = -1⁄2
10.Slope = -3⁄4; y-intercept = -3 Answers:
1.
2. 3. 4. 5. 6. 7. 8. 9.
Answer:
1. y=4x-5 2. y=5x+3 3. y=-2x-8 4. 2/3x+2 5. y=-3/4x-2 6. 1/4x+7 7. -3x+2/3 8. 2/3x+10 9. -2x-1/2 10. -3/4x-3
Step-by-step explanation:
the slope always goes in front of the x and then the y-intercept goes after.
Write the ratios below in their simplest form 1. 16:32 2. 56:200
Answer:
1. 16:32=1:2
2. 56:200=7:25
Step-by-step explanation:
1. 16:32=1:2 -> both divisible by 8
2. 56:200=7:25 -> both divisible by 8
